- FindStat

Identifier

Mp00159: Permutations —Demazure product with inverse⟶ Permutations
Mp00239: Permutations —Corteel⟶ Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
St000247: Set partitions ⟶ ℤ

Values

[1,2] => [1,2] => [1,2] => {{1},{2}} => 2

[2,1] => [2,1] => [2,1] => {{1,2}} => 0

[1,2,3] => [1,2,3] => [1,2,3] => {{1},{2},{3}} => 3

[1,3,2] => [1,3,2] => [1,3,2] => {{1},{2,3}} => 1

[2,1,3] => [2,1,3] => [2,1,3] => {{1,2},{3}} => 1

[2,3,1] => [3,2,1] => [2,3,1] => {{1,2,3}} => 0

[3,1,2] => [3,2,1] => [2,3,1] => {{1,2,3}} => 0

[3,2,1] => [3,2,1] => [2,3,1] => {{1,2,3}} => 0

[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => {{1},{2},{3},{4}} => 4

[1,2,4,3] => [1,2,4,3] => [1,2,4,3] => {{1},{2},{3,4}} => 2

[1,3,2,4] => [1,3,2,4] => [1,3,2,4] => {{1},{2,3},{4}} => 2

[1,3,4,2] => [1,4,3,2] => [1,3,4,2] => {{1},{2,3,4}} => 1

[1,4,2,3] => [1,4,3,2] => [1,3,4,2] => {{1},{2,3,4}} => 1

[1,4,3,2] => [1,4,3,2] => [1,3,4,2] => {{1},{2,3,4}} => 1

[2,1,3,4] => [2,1,3,4] => [2,1,3,4] => {{1,2},{3},{4}} => 2

[2,1,4,3] => [2,1,4,3] => [2,1,4,3] => {{1,2},{3,4}} => 0

[2,3,1,4] => [3,2,1,4] => [2,3,1,4] => {{1,2,3},{4}} => 1

[2,3,4,1] => [4,2,3,1] => [2,3,4,1] => {{1,2,3,4}} => 0

[2,4,1,3] => [3,4,1,2] => [4,3,2,1] => {{1,4},{2,3}} => 0

[2,4,3,1] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[3,1,2,4] => [3,2,1,4] => [2,3,1,4] => {{1,2,3},{4}} => 1

[3,1,4,2] => [4,2,3,1] => [2,3,4,1] => {{1,2,3,4}} => 0

[3,2,1,4] => [3,2,1,4] => [2,3,1,4] => {{1,2,3},{4}} => 1

[3,2,4,1] => [4,2,3,1] => [2,3,4,1] => {{1,2,3,4}} => 0

[3,4,1,2] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[3,4,2,1] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[4,1,2,3] => [4,2,3,1] => [2,3,4,1] => {{1,2,3,4}} => 0

[4,1,3,2] => [4,2,3,1] => [2,3,4,1] => {{1,2,3,4}} => 0

[4,2,1,3] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[4,2,3,1] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[4,3,1,2] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[4,3,2,1] => [4,3,2,1] => [3,4,1,2] => {{1,3},{2,4}} => 0

[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => 5

[1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => 3

[1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => 3

[1,2,4,5,3] => [1,2,5,4,3] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => 2

[1,2,5,3,4] => [1,2,5,4,3] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => 2

[1,2,5,4,3] => [1,2,5,4,3] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => 2

[1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => 3

[1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => 1

[1,3,4,2,5] => [1,4,3,2,5] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => 2

[1,3,4,5,2] => [1,5,3,4,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[1,3,5,2,4] => [1,4,5,2,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => 1

[1,3,5,4,2] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,4,2,3,5] => [1,4,3,2,5] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => 2

[1,4,2,5,3] => [1,5,3,4,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[1,4,3,2,5] => [1,4,3,2,5] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => 2

[1,4,3,5,2] => [1,5,3,4,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[1,4,5,2,3] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,4,5,3,2] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,5,2,3,4] => [1,5,3,4,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[1,5,2,4,3] => [1,5,3,4,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => 1

[1,5,3,2,4] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,5,3,4,2] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,5,4,2,3] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[1,5,4,3,2] => [1,5,4,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => 1

[2,1,3,4,5] => [2,1,3,4,5] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => 3

[2,1,3,5,4] => [2,1,3,5,4] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => 1

[2,1,4,3,5] => [2,1,4,3,5] => [2,1,4,3,5] => {{1,2},{3,4},{5}} => 1

[2,1,4,5,3] => [2,1,5,4,3] => [2,1,4,5,3] => {{1,2},{3,4,5}} => 0

[2,1,5,3,4] => [2,1,5,4,3] => [2,1,4,5,3] => {{1,2},{3,4,5}} => 0

[2,1,5,4,3] => [2,1,5,4,3] => [2,1,4,5,3] => {{1,2},{3,4,5}} => 0

[2,3,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 2

[2,3,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => {{1,2,3},{4,5}} => 0

[2,3,4,1,5] => [4,2,3,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1

[2,3,4,5,1] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[2,3,5,1,4] => [4,2,5,1,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0

[2,3,5,4,1] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[2,4,1,3,5] => [3,4,1,2,5] => [4,3,2,1,5] => {{1,4},{2,3},{5}} => 1

[2,4,1,5,3] => [3,5,1,4,2] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0

[2,4,3,1,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[2,4,3,5,1] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[2,4,5,1,3] => [4,5,3,1,2] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0

[2,4,5,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[2,5,1,3,4] => [3,5,1,4,2] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0

[2,5,1,4,3] => [3,5,1,4,2] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0

[2,5,3,1,4] => [4,5,3,1,2] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0

[2,5,3,4,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[2,5,4,1,3] => [4,5,3,1,2] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0

[2,5,4,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,1,2,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 2

[3,1,2,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => {{1,2,3},{4,5}} => 0

[3,1,4,2,5] => [4,2,3,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1

[3,1,4,5,2] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[3,1,5,2,4] => [4,2,5,1,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0

[3,1,5,4,2] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[3,2,1,4,5] => [3,2,1,4,5] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => 2

[3,2,1,5,4] => [3,2,1,5,4] => [2,3,1,5,4] => {{1,2,3},{4,5}} => 0

[3,2,4,1,5] => [4,2,3,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1

[3,2,4,5,1] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[3,2,5,1,4] => [4,2,5,1,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0

[3,2,5,4,1] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[3,4,1,2,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[3,4,1,5,2] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[3,4,2,1,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[3,4,2,5,1] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[3,4,5,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,4,5,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,5,1,2,4] => [4,5,3,1,2] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0

[3,5,1,4,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,5,2,1,4] => [4,5,3,1,2] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0

>>> Load all 14993 entries. <<<

[3,5,2,4,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,5,4,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[3,5,4,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,1,2,3,5] => [4,2,3,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1

[4,1,2,5,3] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[4,1,3,2,5] => [4,2,3,1,5] => [2,3,4,1,5] => {{1,2,3,4},{5}} => 1

[4,1,3,5,2] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[4,1,5,2,3] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[4,1,5,3,2] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[4,2,1,3,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[4,2,1,5,3] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[4,2,3,1,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[4,2,3,5,1] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[4,2,5,1,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,2,5,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,3,1,2,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[4,3,1,5,2] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[4,3,2,1,5] => [4,3,2,1,5] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => 1

[4,3,2,5,1] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[4,3,5,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,3,5,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,1,2,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,1,3,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,2,1,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,2,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,3,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[4,5,3,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,1,2,3,4] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[5,1,2,4,3] => [5,2,3,4,1] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0

[5,1,3,2,4] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[5,1,3,4,2] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[5,1,4,2,3] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[5,1,4,3,2] => [5,2,4,3,1] => [2,4,5,1,3] => {{1,2,4},{3,5}} => 0

[5,2,1,3,4] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[5,2,1,4,3] => [5,3,2,4,1] => [3,4,1,5,2] => {{1,3},{2,4,5}} => 0

[5,2,3,1,4] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,2,3,4,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,2,4,1,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,2,4,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,1,2,4] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,1,4,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,2,1,4] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,2,4,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,4,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,3,4,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,1,2,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,1,3,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,2,1,3] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,2,3,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,3,1,2] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[5,4,3,2,1] => [5,4,3,2,1] => [3,4,5,1,2] => {{1,2,3,4,5}} => 0

[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => 6

[1,2,3,4,6,5] => [1,2,3,4,6,5] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => 4

[1,2,3,5,4,6] => [1,2,3,5,4,6] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => 4

[1,2,3,5,6,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 3

[1,2,3,6,4,5] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 3

[1,2,3,6,5,4] => [1,2,3,6,5,4] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => 3

[1,2,4,3,5,6] => [1,2,4,3,5,6] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => 4

[1,2,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => 2

[1,2,4,5,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => 3

[1,2,4,5,6,3] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 2

[1,2,4,6,3,5] => [1,2,5,6,3,4] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} => 2

[1,2,4,6,5,3] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,5,3,4,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => 3

[1,2,5,3,6,4] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 2

[1,2,5,4,3,6] => [1,2,5,4,3,6] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => 3

[1,2,5,4,6,3] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 2

[1,2,5,6,3,4] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,5,6,4,3] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,6,3,4,5] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 2

[1,2,6,3,5,4] => [1,2,6,4,5,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => 2

[1,2,6,4,3,5] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,6,4,5,3] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,6,5,3,4] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,2,6,5,4,3] => [1,2,6,5,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => 2

[1,3,2,4,5,6] => [1,3,2,4,5,6] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => 4

[1,3,2,4,6,5] => [1,3,2,4,6,5] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => 2

[1,3,2,5,4,6] => [1,3,2,5,4,6] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => 2

[1,3,2,5,6,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => 1

[1,3,2,6,4,5] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => 1

[1,3,2,6,5,4] => [1,3,2,6,5,4] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => 1

[1,3,4,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => 3

[1,3,4,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => 1

[1,3,4,5,2,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 2

[1,3,4,5,6,2] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,3,4,6,2,5] => [1,5,3,6,2,4] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => 1

[1,3,4,6,5,2] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,3,5,2,4,6] => [1,4,5,2,3,6] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} => 2

[1,3,5,2,6,4] => [1,4,6,2,5,3] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => 1

[1,3,5,4,2,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,3,5,4,6,2] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,3,5,6,2,4] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => 1

[1,3,5,6,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,3,6,2,4,5] => [1,4,6,2,5,3] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => 1

[1,3,6,2,5,4] => [1,4,6,2,5,3] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => 1

[1,3,6,4,2,5] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => 1

[1,3,6,4,5,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,3,6,5,2,4] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => 1

[1,3,6,5,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,2,3,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => 3

[1,4,2,3,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => 1

[1,4,2,5,3,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 2

[1,4,2,5,6,3] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,4,2,6,3,5] => [1,5,3,6,2,4] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => 1

[1,4,2,6,5,3] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,4,3,2,5,6] => [1,4,3,2,5,6] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => 3

[1,4,3,2,6,5] => [1,4,3,2,6,5] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => 1

[1,4,3,5,2,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 2

[1,4,3,5,6,2] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,4,3,6,2,5] => [1,5,3,6,2,4] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => 1

[1,4,3,6,5,2] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,4,5,2,3,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,4,5,2,6,3] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,4,5,3,2,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,4,5,3,6,2] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,4,5,6,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,5,6,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,6,2,3,5] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => 1

[1,4,6,2,5,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,6,3,2,5] => [1,5,6,4,2,3] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => 1

[1,4,6,3,5,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,6,5,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,4,6,5,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,2,3,4,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 2

[1,5,2,3,6,4] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,5,2,4,3,6] => [1,5,3,4,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => 2

[1,5,2,4,6,3] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,5,2,6,3,4] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,5,2,6,4,3] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,5,3,2,4,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,5,3,2,6,4] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,5,3,4,2,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,5,3,4,6,2] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,5,3,6,2,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,3,6,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,4,2,3,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,5,4,2,6,3] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,5,4,3,2,6] => [1,5,4,3,2,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => 2

[1,5,4,3,6,2] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,5,4,6,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,4,6,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,2,3,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,2,4,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,3,2,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,3,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,4,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,5,6,4,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,2,3,4,5] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,6,2,3,5,4] => [1,6,3,4,5,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => 1

[1,6,2,4,3,5] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,6,2,4,5,3] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,6,2,5,3,4] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,6,2,5,4,3] => [1,6,3,5,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => 1

[1,6,3,2,4,5] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,6,3,2,5,4] => [1,6,4,3,5,2] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => 1

[1,6,3,4,2,5] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,3,4,5,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,3,5,2,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,3,5,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,2,3,5] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,2,5,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,3,2,5] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,3,5,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,5,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,4,5,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,2,3,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,2,4,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,3,2,4] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,3,4,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,4,2,3] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[1,6,5,4,3,2] => [1,6,5,4,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => 1

[2,1,3,4,5,6] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => 4

[2,1,3,4,6,5] => [2,1,3,4,6,5] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => 2

[2,1,3,5,4,6] => [2,1,3,5,4,6] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => 2

[2,1,3,5,6,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => 1

[2,1,3,6,4,5] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => 1

[2,1,3,6,5,4] => [2,1,3,6,5,4] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => 1

[2,1,4,3,5,6] => [2,1,4,3,5,6] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => 2

[2,1,4,3,6,5] => [2,1,4,3,6,5] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => 0

[2,1,4,5,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => 1

[2,1,4,5,6,3] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 0

[2,1,4,6,3,5] => [2,1,5,6,3,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => 0

[2,1,4,6,5,3] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,5,3,4,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => 1

[2,1,5,3,6,4] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 0

[2,1,5,4,3,6] => [2,1,5,4,3,6] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => 1

[2,1,5,4,6,3] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 0

[2,1,5,6,3,4] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,5,6,4,3] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,6,3,4,5] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 0

[2,1,6,3,5,4] => [2,1,6,4,5,3] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => 0

[2,1,6,4,3,5] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,6,4,5,3] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,6,5,3,4] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,1,6,5,4,3] => [2,1,6,5,4,3] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => 0

[2,3,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[2,3,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 1

[2,3,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => 1

[2,3,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[2,3,1,6,4,5] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[2,3,1,6,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[2,3,4,1,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 2

[2,3,4,1,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0

[2,3,4,5,1,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[2,3,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[2,3,4,6,1,5] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0

[2,3,4,6,5,1] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[2,3,5,1,4,6] => [4,2,5,1,3,6] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => 1

[2,3,5,1,6,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[2,3,5,4,1,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[2,3,5,4,6,1] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[2,3,5,6,1,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[2,3,5,6,4,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[2,3,6,1,4,5] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[2,3,6,1,5,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[2,3,6,4,1,5] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[2,3,6,4,5,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[2,3,6,5,1,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[2,3,6,5,4,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[2,4,1,3,5,6] => [3,4,1,2,5,6] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => 2

[2,4,1,3,6,5] => [3,4,1,2,6,5] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => 0

[2,4,1,5,3,6] => [3,5,1,4,2,6] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => 1

[2,4,1,5,6,3] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0

[2,4,1,6,3,5] => [3,5,1,6,2,4] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => 0

[2,4,1,6,5,3] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,4,3,1,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[2,4,3,1,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[2,4,3,5,1,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[2,4,3,5,6,1] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[2,4,3,6,1,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[2,4,3,6,5,1] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[2,4,5,1,3,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => 1

[2,4,5,1,6,3] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[2,4,5,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[2,4,5,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[2,4,5,6,1,3] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[2,4,5,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[2,4,6,1,3,5] => [4,5,6,1,2,3] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => 0

[2,4,6,1,5,3] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,4,6,3,1,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[2,4,6,3,5,1] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[2,4,6,5,1,3] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,4,6,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,5,1,3,4,6] => [3,5,1,4,2,6] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => 1

[2,5,1,3,6,4] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0

[2,5,1,4,3,6] => [3,5,1,4,2,6] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => 1

[2,5,1,4,6,3] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0

[2,5,1,6,3,4] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,5,1,6,4,3] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,5,3,1,4,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => 1

[2,5,3,1,6,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[2,5,3,4,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[2,5,3,4,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[2,5,3,6,1,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[2,5,3,6,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[2,5,4,1,3,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => 1

[2,5,4,1,6,3] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[2,5,4,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[2,5,4,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[2,5,4,6,1,3] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[2,5,4,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[2,5,6,1,3,4] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,5,6,1,4,3] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,5,6,3,1,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,5,6,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,5,6,4,1,3] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,5,6,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,6,1,3,4,5] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0

[2,6,1,3,5,4] => [3,6,1,4,5,2] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0

[2,6,1,4,3,5] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,6,1,4,5,3] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,6,1,5,3,4] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,6,1,5,4,3] => [3,6,1,5,4,2] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => 0

[2,6,3,1,4,5] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[2,6,3,1,5,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[2,6,3,4,1,5] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[2,6,3,4,5,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[2,6,3,5,1,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[2,6,3,5,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[2,6,4,1,3,5] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,6,4,1,5,3] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,6,4,3,1,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,6,4,3,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,6,4,5,1,3] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,6,4,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,6,5,1,3,4] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,6,5,1,4,3] => [4,6,5,1,3,2] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => 0

[2,6,5,3,1,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,6,5,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[2,6,5,4,1,3] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[2,6,5,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,1,2,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[3,1,2,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 1

[3,1,2,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => 1

[3,1,2,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,1,2,6,4,5] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,1,2,6,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,1,4,2,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 2

[3,1,4,2,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0

[3,1,4,5,2,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[3,1,4,5,6,2] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[3,1,4,6,2,5] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0

[3,1,4,6,5,2] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[3,1,5,2,4,6] => [4,2,5,1,3,6] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => 1

[3,1,5,2,6,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,1,5,4,2,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[3,1,5,4,6,2] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[3,1,5,6,2,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,1,5,6,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,1,6,2,4,5] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,1,6,2,5,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,1,6,4,2,5] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,1,6,4,5,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,1,6,5,2,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,1,6,5,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,2,1,4,5,6] => [3,2,1,4,5,6] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => 3

[3,2,1,4,6,5] => [3,2,1,4,6,5] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => 1

[3,2,1,5,4,6] => [3,2,1,5,4,6] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => 1

[3,2,1,5,6,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,2,1,6,4,5] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,2,1,6,5,4] => [3,2,1,6,5,4] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => 0

[3,2,4,1,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 2

[3,2,4,1,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0

[3,2,4,5,1,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[3,2,4,5,6,1] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[3,2,4,6,1,5] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0

[3,2,4,6,5,1] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[3,2,5,1,4,6] => [4,2,5,1,3,6] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => 1

[3,2,5,1,6,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,2,5,4,1,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[3,2,5,4,6,1] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[3,2,5,6,1,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,2,5,6,4,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,2,6,1,4,5] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,2,6,1,5,4] => [4,2,6,1,5,3] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0

[3,2,6,4,1,5] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,2,6,4,5,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,2,6,5,1,4] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[3,2,6,5,4,1] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[3,4,1,2,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[3,4,1,2,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[3,4,1,5,2,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[3,4,1,5,6,2] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[3,4,1,6,2,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[3,4,1,6,5,2] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[3,4,2,1,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[3,4,2,1,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[3,4,2,5,1,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[3,4,2,5,6,1] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[3,4,2,6,1,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[3,4,2,6,5,1] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[3,4,5,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,4,5,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,4,5,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,4,5,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,4,5,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,4,5,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,4,6,1,2,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[3,4,6,1,5,2] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[3,4,6,2,1,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[3,4,6,2,5,1] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[3,4,6,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,4,6,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,5,1,2,4,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => 1

[3,5,1,2,6,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,5,1,4,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,5,1,4,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,5,1,6,2,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,5,1,6,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,5,2,1,4,6] => [4,5,3,1,2,6] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => 1

[3,5,2,1,6,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,5,2,4,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,5,2,4,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,5,2,6,1,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,5,2,6,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,5,4,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,5,4,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,5,4,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[3,5,4,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[3,5,4,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,5,4,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,5,6,1,2,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,5,6,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,5,6,2,1,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,5,6,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,5,6,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,5,6,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,1,2,4,5] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,6,1,2,5,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,6,1,4,2,5] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,6,1,4,5,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,6,1,5,2,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,6,1,5,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,6,2,1,4,5] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,6,2,1,5,4] => [4,6,3,1,5,2] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0

[3,6,2,4,1,5] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,6,2,4,5,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,6,2,5,1,4] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[3,6,2,5,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[3,6,4,1,2,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,6,4,1,5,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,4,2,1,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,6,4,2,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,4,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,4,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,5,1,2,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,6,5,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,5,2,1,4] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[3,6,5,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,5,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[3,6,5,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,1,2,3,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 2

[4,1,2,3,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0

[4,1,2,5,3,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[4,1,2,5,6,3] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[4,1,2,6,3,5] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0

[4,1,2,6,5,3] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[4,1,3,2,5,6] => [4,2,3,1,5,6] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => 2

[4,1,3,2,6,5] => [4,2,3,1,6,5] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => 0

[4,1,3,5,2,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[4,1,3,5,6,2] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[4,1,3,6,2,5] => [5,2,3,6,1,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0

[4,1,3,6,5,2] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[4,1,5,2,3,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[4,1,5,2,6,3] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[4,1,5,3,2,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[4,1,5,3,6,2] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[4,1,5,6,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,1,5,6,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,1,6,2,3,5] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[4,1,6,2,5,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,1,6,3,2,5] => [5,2,6,4,1,3] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0

[4,1,6,3,5,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,1,6,5,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,1,6,5,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[4,2,1,3,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[4,2,1,3,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[4,2,1,5,3,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[4,2,1,5,6,3] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[4,2,1,6,3,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[4,2,1,6,5,3] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[4,2,3,1,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[4,2,3,1,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[4,2,3,5,1,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[4,2,3,5,6,1] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[4,2,3,6,1,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[4,2,3,6,5,1] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[4,2,5,1,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,2,5,1,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,2,5,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,2,5,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,2,5,6,1,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,2,5,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,2,6,1,3,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[4,2,6,1,5,3] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[4,2,6,3,1,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[4,2,6,3,5,1] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[4,2,6,5,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,2,6,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,3,1,2,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[4,3,1,2,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[4,3,1,5,2,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[4,3,1,5,6,2] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[4,3,1,6,2,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[4,3,1,6,5,2] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[4,3,2,1,5,6] => [4,3,2,1,5,6] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => 2

[4,3,2,1,6,5] => [4,3,2,1,6,5] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => 0

[4,3,2,5,1,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[4,3,2,5,6,1] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[4,3,2,6,1,5] => [5,3,2,6,1,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => 0

[4,3,2,6,5,1] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[4,3,5,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,3,5,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,3,5,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,3,5,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,3,5,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,3,5,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,3,6,1,2,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[4,3,6,1,5,2] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[4,3,6,2,1,5] => [5,4,6,2,1,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0

[4,3,6,2,5,1] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[4,3,6,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,3,6,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,1,2,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,1,2,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,1,3,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,1,3,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,1,6,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,1,6,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,2,1,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,2,1,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,2,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,2,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,2,6,1,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,2,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,3,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,3,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,3,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[4,5,3,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[4,5,3,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,3,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,5,6,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,6,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,6,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,6,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,6,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,5,6,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,1,2,3,5] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[4,6,1,2,5,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,6,1,3,2,5] => [5,6,3,4,1,2] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0

[4,6,1,3,5,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,6,1,5,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,6,1,5,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[4,6,2,1,3,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[4,6,2,1,5,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,2,3,1,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[4,6,2,3,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,2,5,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,2,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,3,1,2,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[4,6,3,1,5,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,3,2,1,5] => [5,6,4,3,1,2] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => 0

[4,6,3,2,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,3,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,3,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[4,6,5,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,1,2,3,4,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[5,1,2,3,6,4] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[5,1,2,4,3,6] => [5,2,3,4,1,6] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => 1

[5,1,2,4,6,3] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[5,1,2,6,3,4] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[5,1,2,6,4,3] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[5,1,3,2,4,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[5,1,3,2,6,4] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[5,1,3,4,2,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[5,1,3,4,6,2] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[5,1,3,6,2,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,3,6,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,4,2,3,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[5,1,4,2,6,3] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[5,1,4,3,2,6] => [5,2,4,3,1,6] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => 1

[5,1,4,3,6,2] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[5,1,4,6,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,4,6,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,2,3,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,2,4,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,3,2,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,3,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,4,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,1,6,4,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[5,2,1,3,4,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[5,2,1,3,6,4] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[5,2,1,4,3,6] => [5,3,2,4,1,6] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => 1

[5,2,1,4,6,3] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[5,2,1,6,3,4] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[5,2,1,6,4,3] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[5,2,3,1,4,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,2,3,1,6,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,2,3,4,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,2,3,4,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,2,3,6,1,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,2,3,6,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,2,4,1,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,2,4,1,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,2,4,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,2,4,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,2,4,6,1,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,2,4,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,2,6,1,3,4] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[5,2,6,1,4,3] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[5,2,6,3,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,2,6,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,2,6,4,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,2,6,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,1,2,4,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,1,2,6,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,1,4,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,1,4,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,1,6,2,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,1,6,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,2,1,4,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,2,1,6,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,2,4,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,2,4,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,2,6,1,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,2,6,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,4,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,4,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,4,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,3,4,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,3,4,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,4,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,3,6,1,2,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,6,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,6,2,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,6,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,6,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,3,6,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,1,2,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,1,2,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,1,3,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,1,3,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,1,6,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,1,6,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,2,1,3,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,2,1,6,3] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,2,3,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,2,3,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,2,6,1,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,2,6,3,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,3,1,2,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,3,1,6,2] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,3,2,1,6] => [5,4,3,2,1,6] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => 1

[5,4,3,2,6,1] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[5,4,3,6,1,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,3,6,2,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,4,6,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,6,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,6,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,6,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,6,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,4,6,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,1,2,3,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,1,2,4,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,1,3,2,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,1,3,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,1,4,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,1,4,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[5,6,2,1,3,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,2,1,4,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,2,3,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,2,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,2,4,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,2,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,1,2,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,2,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,3,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[5,6,4,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,1,2,3,4,5] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[6,1,2,3,5,4] => [6,2,3,4,5,1] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0

[6,1,2,4,3,5] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[6,1,2,4,5,3] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[6,1,2,5,3,4] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[6,1,2,5,4,3] => [6,2,3,5,4,1] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => 0

[6,1,3,2,4,5] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[6,1,3,2,5,4] => [6,2,4,3,5,1] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => 0

[6,1,3,4,2,5] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,3,4,5,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,3,5,2,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,3,5,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,2,3,5] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,2,5,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,3,2,5] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,3,5,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,5,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,4,5,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,2,3,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,2,4,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,3,2,4] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,3,4,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,4,2,3] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,1,5,4,3,2] => [6,2,5,4,3,1] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => 0

[6,2,1,3,4,5] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[6,2,1,3,5,4] => [6,3,2,4,5,1] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => 0

[6,2,1,4,3,5] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[6,2,1,4,5,3] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[6,2,1,5,3,4] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[6,2,1,5,4,3] => [6,3,2,5,4,1] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => 0

[6,2,3,1,4,5] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,2,3,1,5,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,2,3,4,1,5] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,2,3,4,5,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,2,3,5,1,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,2,3,5,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,2,4,1,3,5] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[6,2,4,1,5,3] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[6,2,4,3,1,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,4,3,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,4,5,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,4,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,5,1,3,4] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[6,2,5,1,4,3] => [6,4,5,2,3,1] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => 0

[6,2,5,3,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,5,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,5,4,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,2,5,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,1,2,4,5] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,3,1,2,5,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,3,1,4,2,5] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,1,4,5,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,1,5,2,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,1,5,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,2,1,4,5] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,3,2,1,5,4] => [6,4,3,2,5,1] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => 0

[6,3,2,4,1,5] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,2,4,5,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,2,5,1,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,2,5,4,1] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,3,4,1,2,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,4,1,5,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,4,2,1,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,4,2,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,4,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,4,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,1,2,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,2,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,3,5,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,1,2,3,5] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,1,2,5,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,1,3,2,5] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,1,3,5,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,1,5,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,1,5,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,4,2,1,3,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,2,1,5,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,2,3,1,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,2,3,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,2,5,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,2,5,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,1,2,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,1,5,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,2,1,5] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,2,5,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,5,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,3,5,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,4,5,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,1,2,3,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,1,2,4,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,1,3,2,4] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,1,3,4,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,1,4,2,3] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,1,4,3,2] => [6,5,3,4,2,1] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => 0

[6,5,2,1,3,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,2,1,4,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,2,3,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,2,3,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,2,4,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,2,4,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,1,2,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,1,4,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,2,1,4] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,2,4,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,4,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,3,4,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,1,2,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,1,3,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,2,1,3] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,2,3,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,3,1,2] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[6,5,4,3,2,1] => [6,5,4,3,2,1] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => 0

[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => 7

[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => 5

[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => 5

[1,2,3,4,6,7,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 4

[1,2,3,4,7,5,6] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 4

[1,2,3,4,7,6,5] => [1,2,3,4,7,6,5] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => 4

[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => 5

[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => 3

[1,2,3,5,6,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 4

[1,2,3,5,6,7,4] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 3

[1,2,3,5,7,4,6] => [1,2,3,6,7,4,5] => [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}} => 3

[1,2,3,5,7,6,4] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,6,4,5,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 4

[1,2,3,6,4,7,5] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 3

[1,2,3,6,5,4,7] => [1,2,3,6,5,4,7] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => 4

[1,2,3,6,5,7,4] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 3

[1,2,3,6,7,4,5] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,6,7,5,4] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,7,4,5,6] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 3

[1,2,3,7,4,6,5] => [1,2,3,7,5,6,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => 3

[1,2,3,7,5,4,6] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,7,5,6,4] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,7,6,4,5] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,3,7,6,5,4] => [1,2,3,7,6,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => 3

[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => 5

[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => 3

[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => 3

[1,2,4,3,6,7,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => 2

[1,2,4,3,7,5,6] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => 2

[1,2,4,3,7,6,5] => [1,2,4,3,7,6,5] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => 2

[1,2,4,5,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 4

[1,2,4,5,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => 2

[1,2,4,5,6,3,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 3

[1,2,4,5,6,7,3] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,5,7,3,6] => [1,2,6,4,7,3,5] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => 2

[1,2,4,5,7,6,3] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,4,6,3,5,7] => [1,2,5,6,3,4,7] => [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}} => 3

[1,2,4,6,3,7,5] => [1,2,5,7,3,6,4] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => 2

[1,2,4,6,5,3,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,4,6,5,7,3] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,4,6,7,3,5] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,6,7,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,7,3,5,6] => [1,2,5,7,3,6,4] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => 2

[1,2,4,7,3,6,5] => [1,2,5,7,3,6,4] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => 2

[1,2,4,7,5,3,6] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,7,5,6,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,7,6,3,5] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,4,7,6,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,3,4,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 4

[1,2,5,3,4,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => 2

[1,2,5,3,6,4,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 3

[1,2,5,3,6,7,4] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,3,7,4,6] => [1,2,6,4,7,3,5] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => 2

[1,2,5,3,7,6,4] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,5,4,3,6,7] => [1,2,5,4,3,6,7] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => 4

[1,2,5,4,3,7,6] => [1,2,5,4,3,7,6] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => 2

[1,2,5,4,6,3,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 3

[1,2,5,4,6,7,3] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,4,7,3,6] => [1,2,6,4,7,3,5] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => 2

[1,2,5,4,7,6,3] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,5,6,3,4,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,5,6,3,7,4] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,5,6,4,3,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,5,6,4,7,3] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,5,6,7,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,6,7,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,3,4,6] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,3,6,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,4,3,6] => [1,2,6,7,5,3,4] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,4,6,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,6,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,5,7,6,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,3,4,5,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 3

[1,2,6,3,4,7,5] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,3,5,4,7] => [1,2,6,4,5,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => 3

[1,2,6,3,5,7,4] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,3,7,4,5] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,6,3,7,5,4] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,6,4,3,5,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,6,4,3,7,5] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,6,4,5,3,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,6,4,5,7,3] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,6,4,7,3,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,4,7,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,5,3,4,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,6,5,3,7,4] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,6,5,4,3,7] => [1,2,6,5,4,3,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => 3

[1,2,6,5,4,7,3] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,6,5,7,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,5,7,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,3,4,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,3,5,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,4,3,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,4,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,5,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,6,7,5,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,3,4,5,6] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,3,4,6,5] => [1,2,7,4,5,6,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,3,5,4,6] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,7,3,5,6,4] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,7,3,6,4,5] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,7,3,6,5,4] => [1,2,7,4,6,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => 2

[1,2,7,4,3,5,6] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,7,4,3,6,5] => [1,2,7,5,4,6,3] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => 2

[1,2,7,4,5,3,6] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,4,5,6,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,4,6,3,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,4,6,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,3,4,6] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,3,6,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,4,3,6] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,4,6,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,6,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,5,6,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,3,4,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,3,5,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,4,3,5] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,4,5,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,5,3,4] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,2,7,6,5,4,3] => [1,2,7,6,5,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => 2

[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => 5

[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => 3

[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => 3

[1,3,2,4,6,7,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => 2

[1,3,2,4,7,5,6] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => 2

[1,3,2,4,7,6,5] => [1,3,2,4,7,6,5] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => 2

[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => 3

[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => 1

[1,3,2,5,6,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => 2

[1,3,2,5,6,7,4] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[1,3,2,5,7,4,6] => [1,3,2,6,7,4,5] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} => 1

[1,3,2,5,7,6,4] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,6,4,5,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => 2

[1,3,2,6,4,7,5] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[1,3,2,6,5,4,7] => [1,3,2,6,5,4,7] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => 2

[1,3,2,6,5,7,4] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[1,3,2,6,7,4,5] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,6,7,5,4] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,7,4,5,6] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[1,3,2,7,4,6,5] => [1,3,2,7,5,6,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => 1

[1,3,2,7,5,4,6] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,7,5,6,4] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,7,6,4,5] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,2,7,6,5,4] => [1,3,2,7,6,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => 1

[1,3,4,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 4

[1,3,4,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => 2

[1,3,4,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => 2

[1,3,4,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,3,4,2,7,5,6] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,3,4,2,7,6,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,3,4,5,2,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 3

[1,3,4,5,2,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[1,3,4,5,6,2,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,4,5,6,7,2] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,5,7,2,6] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => 1

[1,3,4,5,7,6,2] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,3,4,6,2,5,7] => [1,5,3,6,2,4,7] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => 2

[1,3,4,6,2,7,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,3,4,6,5,2,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,3,4,6,5,7,2] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,3,4,6,7,2,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,6,7,5,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,7,2,5,6] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,3,4,7,2,6,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,3,4,7,5,2,6] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,7,5,6,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,7,6,2,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,4,7,6,5,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,2,4,6,7] => [1,4,5,2,3,6,7] => [1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}} => 3

[1,3,5,2,4,7,6] => [1,4,5,2,3,7,6] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}} => 1

[1,3,5,2,6,4,7] => [1,4,6,2,5,3,7] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => 2

[1,3,5,2,6,7,4] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => 1

[1,3,5,2,7,4,6] => [1,4,6,2,7,3,5] => [1,7,4,3,6,5,2] => {{1},{2,7},{3,4},{5,6}} => 1

[1,3,5,2,7,6,4] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,5,4,2,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,3,5,4,2,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,3,5,4,6,2,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,3,5,4,6,7,2] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,3,5,4,7,2,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,3,5,4,7,6,2] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,3,5,6,2,4,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,5,6,2,7,4] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,6,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,5,6,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,6,7,2,4] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,3,5,6,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,3,5,7,2,4,6] => [1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}} => 1

[1,3,5,7,2,6,4] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,7,4,2,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,7,4,6,2] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,7,6,2,4] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,5,7,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,6,2,4,5,7] => [1,4,6,2,5,3,7] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => 2

[1,3,6,2,4,7,5] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => 1

[1,3,6,2,5,4,7] => [1,4,6,2,5,3,7] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => 2

[1,3,6,2,5,7,4] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => 1

[1,3,6,2,7,4,5] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,6,2,7,5,4] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,6,4,2,5,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,6,4,2,7,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,4,5,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,6,4,5,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,4,7,2,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,3,6,4,7,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,3,6,5,2,4,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,6,5,2,7,4] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,5,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,3,6,5,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,5,7,2,4] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,3,6,5,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,3,6,7,2,4,5] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,7,2,5,4] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,7,4,2,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,7,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,6,7,5,2,4] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,6,7,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,7,2,4,5,6] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => 1

[1,3,7,2,4,6,5] => [1,4,7,2,5,6,3] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => 1

[1,3,7,2,5,4,6] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,7,2,5,6,4] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,7,2,6,4,5] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,7,2,6,5,4] => [1,4,7,2,6,5,3] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => 1

[1,3,7,4,2,5,6] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,4,2,6,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,4,5,2,6] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,3,7,4,5,6,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,3,7,4,6,2,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,3,7,4,6,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,3,7,5,2,4,6] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,5,2,6,4] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,5,4,2,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,5,4,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,7,5,6,2,4] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,5,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,7,6,2,4,5] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,6,2,5,4] => [1,5,7,6,2,4,3] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,6,4,2,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,6,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,3,7,6,5,2,4] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,3,7,6,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,2,3,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 4

[1,4,2,3,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => 2

[1,4,2,3,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => 2

[1,4,2,3,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,2,3,7,5,6] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,2,3,7,6,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,2,5,3,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 3

[1,4,2,5,3,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[1,4,2,5,6,3,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,2,5,6,7,3] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,5,7,3,6] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => 1

[1,4,2,5,7,6,3] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,4,2,6,3,5,7] => [1,5,3,6,2,4,7] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => 2

[1,4,2,6,3,7,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,2,6,5,3,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,4,2,6,5,7,3] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,4,2,6,7,3,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,6,7,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,7,3,5,6] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,2,7,3,6,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,2,7,5,3,6] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,7,5,6,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,7,6,3,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,2,7,6,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,2,5,6,7] => [1,4,3,2,5,6,7] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => 4

[1,4,3,2,5,7,6] => [1,4,3,2,5,7,6] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => 2

[1,4,3,2,6,5,7] => [1,4,3,2,6,5,7] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => 2

[1,4,3,2,6,7,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,3,2,7,5,6] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,3,2,7,6,5] => [1,4,3,2,7,6,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => 1

[1,4,3,5,2,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 3

[1,4,3,5,2,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[1,4,3,5,6,2,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,3,5,6,7,2] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,5,7,2,6] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => 1

[1,4,3,5,7,6,2] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,4,3,6,2,5,7] => [1,5,3,6,2,4,7] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => 2

[1,4,3,6,2,7,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,3,6,5,2,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,4,3,6,5,7,2] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,4,3,6,7,2,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,6,7,5,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,7,2,5,6] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,3,7,2,6,5] => [1,5,3,7,2,6,4] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => 1

[1,4,3,7,5,2,6] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,7,5,6,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,7,6,2,5] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,3,7,6,5,2] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,2,3,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,4,5,2,3,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,4,5,2,6,3,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,4,5,2,6,7,3] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,4,5,2,7,3,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,4,5,2,7,6,3] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,4,5,3,2,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,4,5,3,2,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,4,5,3,6,2,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,4,5,3,6,7,2] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,4,5,3,7,2,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,4,5,3,7,6,2] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,4,5,6,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,5,6,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,6,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,5,6,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,6,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,5,6,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,5,7,2,3,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,7,2,6,3] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,7,3,2,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,7,3,6,2] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,4,5,7,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,5,7,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,6,2,3,5,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,2,3,7,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,2,5,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,2,5,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,2,7,3,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,6,2,7,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,6,3,2,5,7] => [1,5,6,4,2,3,7] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,3,2,7,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,3,5,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,3,5,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,3,7,2,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,6,3,7,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,6,5,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,5,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,5,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,4,6,5,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,5,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,6,5,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,6,7,2,3,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,7,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,6,7,3,2,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,6,7,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,6,7,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,6,7,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,2,3,5,6] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,2,3,6,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,2,5,3,6] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,7,2,5,6,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,7,2,6,3,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,7,2,6,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,7,3,2,5,6] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,3,2,6,5] => [1,5,7,4,2,6,3] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,3,5,2,6] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,7,3,5,6,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,7,3,6,2,5] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,4,7,3,6,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,4,7,5,2,3,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,5,2,6,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,5,3,2,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,5,3,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,5,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,5,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,6,2,3,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,6,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,6,3,2,5] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,4,7,6,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,6,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,4,7,6,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,2,3,4,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 3

[1,5,2,3,4,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[1,5,2,3,6,4,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,2,3,6,7,4] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,3,7,4,6] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => 1

[1,5,2,3,7,6,4] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,5,2,4,3,6,7] => [1,5,3,4,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => 3

[1,5,2,4,3,7,6] => [1,5,3,4,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => 1

[1,5,2,4,6,3,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,2,4,6,7,3] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,4,7,3,6] => [1,6,3,4,7,2,5] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => 1

[1,5,2,4,7,6,3] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,5,2,6,3,4,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,5,2,6,3,7,4] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,5,2,6,4,3,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,5,2,6,4,7,3] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,5,2,6,7,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,6,7,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,3,4,6] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,3,6,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,4,3,6] => [1,6,3,7,5,2,4] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,4,6,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,6,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,2,7,6,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,2,4,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,5,3,2,4,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,5,3,2,6,4,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,5,3,2,6,7,4] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,5,3,2,7,4,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,5,3,2,7,6,4] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,5,3,4,2,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,5,3,4,2,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,5,3,4,6,2,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,5,3,4,6,7,2] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,5,3,4,7,2,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,5,3,4,7,6,2] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,5,3,6,2,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,3,6,2,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,6,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,3,6,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,6,7,2,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,3,6,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,3,7,2,4,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,7,2,6,4] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,7,4,2,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,7,4,6,2] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,3,7,6,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,3,7,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,4,2,3,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,5,4,2,3,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,5,4,2,6,3,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,5,4,2,6,7,3] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,5,4,2,7,3,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,5,4,2,7,6,3] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,5,4,3,2,6,7] => [1,5,4,3,2,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => 3

[1,5,4,3,2,7,6] => [1,5,4,3,2,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => 1

[1,5,4,3,6,2,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,5,4,3,6,7,2] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,5,4,3,7,2,6] => [1,6,4,3,7,2,5] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => 1

[1,5,4,3,7,6,2] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,5,4,6,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,4,6,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,6,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,4,6,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,6,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,4,6,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,4,7,2,3,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,7,2,6,3] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,7,3,2,6] => [1,6,5,7,3,2,4] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,7,3,6,2] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,5,4,7,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,4,7,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,2,3,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,2,3,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,2,4,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,2,4,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,2,7,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,2,7,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,3,2,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,3,2,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,3,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,3,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,3,7,2,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,3,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,4,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,4,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,4,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,5,6,4,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,6,4,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,4,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,6,7,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,7,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,7,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,7,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,7,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,6,7,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,2,3,4,6] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,5,7,2,3,6,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,7,2,4,3,6] => [1,6,7,4,5,2,3] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => 1

[1,5,7,2,4,6,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,7,2,6,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,7,2,6,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,5,7,3,2,4,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,7,3,2,6,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,3,4,2,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,7,3,4,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,3,6,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,3,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,4,2,3,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,7,4,2,6,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,4,3,2,6] => [1,6,7,5,4,2,3] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => 1

[1,5,7,4,3,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,4,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,4,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,5,7,6,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,2,3,4,5,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,2,3,4,7,5] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,3,5,4,7] => [1,6,3,4,5,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,2,3,5,7,4] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,3,7,4,5] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,6,2,3,7,5,4] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,6,2,4,3,5,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,6,2,4,3,7,5] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,6,2,4,5,3,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,6,2,4,5,7,3] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,6,2,4,7,3,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,4,7,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,5,3,4,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,6,2,5,3,7,4] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,6,2,5,4,3,7] => [1,6,3,5,4,2,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => 2

[1,6,2,5,4,7,3] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,6,2,5,7,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,5,7,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,3,4,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,3,5,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,4,3,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,4,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,5,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,2,7,5,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,2,4,5,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,6,3,2,4,7,5] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,6,3,2,5,4,7] => [1,6,4,3,5,2,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => 2

[1,6,3,2,5,7,4] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,6,3,2,7,4,5] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,6,3,2,7,5,4] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,6,3,4,2,5,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,3,4,2,7,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,4,5,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,3,4,5,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,4,7,2,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,3,4,7,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,3,5,2,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,3,5,2,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,5,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,3,5,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,5,7,2,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,3,5,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,3,7,2,4,5] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,7,2,5,4] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,6,3,7,4,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,3,7,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,3,7,5,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,3,7,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,2,3,5,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,2,3,7,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,2,5,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,2,5,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,2,7,3,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,2,7,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,3,2,5,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,3,2,7,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,3,5,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,3,5,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,3,7,2,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,3,7,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,5,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,5,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,5,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,4,5,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,4,5,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,5,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,4,7,2,3,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,7,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,7,3,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,7,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,7,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,4,7,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,2,3,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,2,3,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,2,4,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,2,4,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,2,7,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,2,7,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,3,2,4,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,3,2,7,4] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,3,4,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,3,4,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,3,7,2,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,3,7,4,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,4,2,3,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,4,2,7,3] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,4,3,2,7] => [1,6,5,4,3,2,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => 2

[1,6,5,4,3,7,2] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,6,5,4,7,2,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,4,7,3,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,5,7,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,7,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,7,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,7,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,7,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,5,7,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,2,3,4,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,2,3,5,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,2,4,3,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,2,4,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,2,5,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,2,5,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,6,7,3,2,4,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,3,2,5,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,3,4,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,3,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,3,5,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,3,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,2,3,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,3,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,4,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,6,7,5,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,2,3,4,5,6] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,3,4,6,5] => [1,7,3,4,5,6,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,3,5,4,6] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,7,2,3,5,6,4] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,7,2,3,6,4,5] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,7,2,3,6,5,4] => [1,7,3,4,6,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => 1

[1,7,2,4,3,5,6] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,7,2,4,3,6,5] => [1,7,3,5,4,6,2] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => 1

[1,7,2,4,5,3,6] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,4,5,6,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,4,6,3,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,4,6,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,3,4,6] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,3,6,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,4,3,6] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,4,6,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,6,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,5,6,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,3,4,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,3,5,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,4,3,5] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,4,5,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,5,3,4] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,2,6,5,4,3] => [1,7,3,6,5,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,2,4,5,6] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,7,3,2,4,6,5] => [1,7,4,3,5,6,2] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => 1

[1,7,3,2,5,4,6] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,7,3,2,5,6,4] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,7,3,2,6,4,5] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,7,3,2,6,5,4] => [1,7,4,3,6,5,2] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => 1

[1,7,3,4,2,5,6] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,4,2,6,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,4,5,2,6] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,3,4,5,6,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,3,4,6,2,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,3,4,6,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,3,5,2,4,6] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,5,2,6,4] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,5,4,2,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,5,4,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,5,6,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,5,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,6,2,4,5] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,6,2,5,4] => [1,7,5,6,3,4,2] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => 1

[1,7,3,6,4,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,6,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,6,5,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,3,6,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,2,3,5,6] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,4,2,3,6,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,4,2,5,3,6] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,2,5,6,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,2,6,3,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,2,6,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,3,2,5,6] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,4,3,2,6,5] => [1,7,5,4,3,6,2] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => 1

[1,7,4,3,5,2,6] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,3,5,6,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,3,6,2,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,3,6,5,2] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,4,5,2,3,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,5,2,6,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,5,3,2,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,5,3,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,5,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,5,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,2,3,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,3,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,4,6,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,2,3,4,6] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,2,3,6,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,2,4,3,6] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,2,4,6,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,2,6,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,2,6,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,5,3,2,4,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,3,2,6,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,3,4,2,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,3,4,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,3,6,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,3,6,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,2,3,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,2,6,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,3,2,6] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,3,6,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,6,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,4,6,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,5,6,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,2,3,4,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,2,3,5,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,2,4,3,5] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,2,4,5,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,2,5,3,4] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,2,5,4,3] => [1,7,6,4,5,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => 1

[1,7,6,3,2,4,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,3,2,5,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,3,4,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,3,4,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,3,5,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,3,5,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,2,3,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,2,5,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,3,2,5] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,3,5,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,5,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,4,5,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,2,3,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,2,4,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,3,2,4] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,3,4,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,4,2,3] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[1,7,6,5,4,3,2] => [1,7,6,5,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => 1

[2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => 5

[2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => 3

[2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => 3

[2,1,3,4,6,7,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[2,1,3,4,7,5,6] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[2,1,3,4,7,6,5] => [2,1,3,4,7,6,5] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => 2

[2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => 3

[2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => 1

[2,1,3,5,6,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => 2

[2,1,3,5,6,7,4] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 1

[2,1,3,5,7,4,6] => [2,1,3,6,7,4,5] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}} => 1

[2,1,3,5,7,6,4] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,6,4,5,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => 2

[2,1,3,6,4,7,5] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 1

[2,1,3,6,5,4,7] => [2,1,3,6,5,4,7] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => 2

[2,1,3,6,5,7,4] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 1

[2,1,3,6,7,4,5] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,6,7,5,4] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,7,4,5,6] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 1

[2,1,3,7,4,6,5] => [2,1,3,7,5,6,4] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => 1

[2,1,3,7,5,4,6] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,7,5,6,4] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,7,6,4,5] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,3,7,6,5,4] => [2,1,3,7,6,5,4] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => 1

[2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => 3

[2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => 1

[2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}} => 1

[2,1,4,3,6,7,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => 0

[2,1,4,3,7,5,6] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => 0

[2,1,4,3,7,6,5] => [2,1,4,3,7,6,5] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => 0

[2,1,4,5,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => 2

[2,1,4,5,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => 0

[2,1,4,5,6,3,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 1

[2,1,4,5,6,7,3] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,5,7,3,6] => [2,1,6,4,7,3,5] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => 0

[2,1,4,5,7,6,3] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,4,6,3,5,7] => [2,1,5,6,3,4,7] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}} => 1

[2,1,4,6,3,7,5] => [2,1,5,7,3,6,4] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => 0

[2,1,4,6,5,3,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,4,6,5,7,3] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,4,6,7,3,5] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,6,7,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,7,3,5,6] => [2,1,5,7,3,6,4] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => 0

[2,1,4,7,3,6,5] => [2,1,5,7,3,6,4] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => 0

[2,1,4,7,5,3,6] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,7,5,6,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,7,6,3,5] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,4,7,6,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,3,4,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => 2

[2,1,5,3,4,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => 0

[2,1,5,3,6,4,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 1

[2,1,5,3,6,7,4] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,3,7,4,6] => [2,1,6,4,7,3,5] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => 0

[2,1,5,3,7,6,4] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,5,4,3,6,7] => [2,1,5,4,3,6,7] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => 2

[2,1,5,4,3,7,6] => [2,1,5,4,3,7,6] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => 0

[2,1,5,4,6,3,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 1

[2,1,5,4,6,7,3] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,4,7,3,6] => [2,1,6,4,7,3,5] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => 0

[2,1,5,4,7,6,3] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,5,6,3,4,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,5,6,3,7,4] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,5,6,4,3,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,5,6,4,7,3] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,5,6,7,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,6,7,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,3,4,6] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,3,6,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,4,3,6] => [2,1,6,7,5,3,4] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,4,6,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,6,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,5,7,6,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,3,4,5,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 1

[2,1,6,3,4,7,5] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,3,5,4,7] => [2,1,6,4,5,3,7] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => 1

[2,1,6,3,5,7,4] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,3,7,4,5] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,6,3,7,5,4] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,6,4,3,5,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,6,4,3,7,5] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,6,4,5,3,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,6,4,5,7,3] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,6,4,7,3,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,4,7,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,5,3,4,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,6,5,3,7,4] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,6,5,4,3,7] => [2,1,6,5,4,3,7] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => 1

[2,1,6,5,4,7,3] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,6,5,7,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,5,7,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,3,4,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,3,5,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,4,3,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,4,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,5,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,6,7,5,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,3,4,5,6] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,3,4,6,5] => [2,1,7,4,5,6,3] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,3,5,4,6] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,7,3,5,6,4] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,7,3,6,4,5] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,7,3,6,5,4] => [2,1,7,4,6,5,3] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => 0

[2,1,7,4,3,5,6] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,7,4,3,6,5] => [2,1,7,5,4,6,3] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => 0

[2,1,7,4,5,3,6] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,4,5,6,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,4,6,3,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,4,6,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,3,4,6] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,3,6,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,4,3,6] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,4,6,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,6,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,5,6,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,3,4,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,3,5,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,4,3,5] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,4,5,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,5,3,4] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,1,7,6,5,4,3] => [2,1,7,6,5,4,3] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => 0

[2,3,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 4

[2,3,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 2

[2,3,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 2

[2,3,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[2,3,1,4,7,5,6] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[2,3,1,4,7,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[2,3,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 2

[2,3,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 0

[2,3,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[2,3,1,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[2,3,1,5,7,4,6] => [3,2,1,6,7,4,5] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => 0

[2,3,1,5,7,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,6,4,5,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[2,3,1,6,4,7,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[2,3,1,6,5,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[2,3,1,6,5,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[2,3,1,6,7,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,6,7,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,7,4,5,6] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[2,3,1,7,4,6,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[2,3,1,7,5,4,6] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,7,5,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,7,6,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,1,7,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[2,3,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 3

[2,3,4,1,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 1

[2,3,4,1,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 1

[2,3,4,1,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[2,3,4,1,7,5,6] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[2,3,4,1,7,6,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[2,3,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,3,4,5,1,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,3,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,5,7,1,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[2,3,4,5,7,6,1] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,3,4,6,1,5,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => 1

[2,3,4,6,1,7,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[2,3,4,6,5,1,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[2,3,4,6,5,7,1] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[2,3,4,6,7,1,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,6,7,5,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,7,1,5,6] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[2,3,4,7,1,6,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[2,3,4,7,5,1,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,7,5,6,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,7,6,1,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,4,7,6,5,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,1,4,6,7] => [4,2,5,1,3,6,7] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => 2

[2,3,5,1,4,7,6] => [4,2,5,1,3,7,6] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => 0

[2,3,5,1,6,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[2,3,5,1,6,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[2,3,5,1,7,4,6] => [4,2,6,1,7,3,5] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0

[2,3,5,1,7,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,5,4,1,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[2,3,5,4,1,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[2,3,5,4,6,1,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[2,3,5,4,6,7,1] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[2,3,5,4,7,1,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[2,3,5,4,7,6,1] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[2,3,5,6,1,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,5,6,1,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,6,4,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,5,6,4,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,6,7,1,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[2,3,5,6,7,4,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,3,5,7,1,4,6] => [5,2,6,7,1,3,4] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0

[2,3,5,7,1,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,7,4,1,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,7,4,6,1] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,7,6,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,5,7,6,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,6,1,4,5,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[2,3,6,1,4,7,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[2,3,6,1,5,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[2,3,6,1,5,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[2,3,6,1,7,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,6,1,7,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,6,4,1,5,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,6,4,1,7,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,4,5,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,6,4,5,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,4,7,1,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[2,3,6,4,7,5,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,3,6,5,1,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,6,5,1,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,5,4,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[2,3,6,5,4,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,5,7,1,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[2,3,6,5,7,4,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,3,6,7,1,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,7,1,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,7,4,1,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,7,4,5,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,6,7,5,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,6,7,5,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,7,1,4,5,6] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[2,3,7,1,4,6,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[2,3,7,1,5,4,6] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,7,1,5,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,7,1,6,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,7,1,6,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[2,3,7,4,1,5,6] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,4,1,6,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,4,5,1,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[2,3,7,4,5,6,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,3,7,4,6,1,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[2,3,7,4,6,5,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,3,7,5,1,4,6] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,5,1,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,5,4,1,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,5,4,6,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,7,5,6,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,5,6,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,7,6,1,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,6,1,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,6,4,1,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,6,4,5,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,3,7,6,5,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[2,3,7,6,5,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[2,4,1,3,5,6,7] => [3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => 3

[2,4,1,3,5,7,6] => [3,4,1,2,5,7,6] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}} => 1

[2,4,1,3,6,5,7] => [3,4,1,2,6,5,7] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}} => 1

[2,4,1,3,6,7,5] => [3,4,1,2,7,6,5] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => 0

[2,4,1,3,7,5,6] => [3,4,1,2,7,6,5] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => 0

[2,4,1,3,7,6,5] => [3,4,1,2,7,6,5] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => 0

[2,4,1,5,3,6,7] => [3,5,1,4,2,6,7] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => 2

[2,4,1,5,3,7,6] => [3,5,1,4,2,7,6] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => 0

[2,4,1,5,6,3,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 1

[2,4,1,5,6,7,3] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,5,7,3,6] => [3,6,1,4,7,2,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0

[2,4,1,5,7,6,3] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,4,1,6,3,5,7] => [3,5,1,6,2,4,7] => [6,3,2,5,4,1,7] => {{1,6},{2,3},{4,5},{7}} => 1

[2,4,1,6,3,7,5] => [3,5,1,7,2,6,4] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0

[2,4,1,6,5,3,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,4,1,6,5,7,3] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,4,1,6,7,3,5] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,6,7,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,7,3,5,6] => [3,5,1,7,2,6,4] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0

[2,4,1,7,3,6,5] => [3,5,1,7,2,6,4] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0

[2,4,1,7,5,3,6] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,7,5,6,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,7,6,3,5] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0

[2,4,1,7,6,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,4,3,1,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[2,4,3,1,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[2,4,3,1,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[2,4,3,1,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[2,4,3,1,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[2,4,3,1,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[2,4,3,5,1,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[2,4,3,5,1,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[2,4,3,5,6,1,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[2,4,3,5,6,7,1] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,5,7,1,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[2,4,3,5,7,6,1] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[2,4,3,6,1,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[2,4,3,6,1,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[2,4,3,6,5,1,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[2,4,3,6,5,7,1] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[2,4,3,6,7,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,6,7,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,7,1,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[2,4,3,7,1,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[2,4,3,7,5,1,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,7,5,6,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,7,6,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[2,4,3,7,6,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[2,4,5,1,3,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,4,5,1,3,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,4,5,1,6,3,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,5,1,6,7,3] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,5,1,7,3,6] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[2,4,5,1,7,6,3] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,4,5,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,4,5,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,4,5,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,5,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,4,5,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[2,4,5,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[2,4,5,6,1,3,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[2,4,5,6,1,7,3] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,4,5,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[2,4,5,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[2,4,5,6,7,1,3] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,5,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,4,5,7,1,3,6] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0

[2,4,5,7,1,6,3] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,4,5,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[2,4,5,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[2,4,5,7,6,1,3] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,4,5,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,4,6,1,3,5,7] => [4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}} => 1

[2,4,6,1,3,7,5] => [4,5,7,1,2,6,3] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0

[2,4,6,1,5,3,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,6,1,5,7,3] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,1,7,3,5] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0

[2,4,6,1,7,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,4,6,3,1,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,6,3,1,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,3,5,1,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,6,3,5,7,1] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,3,7,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[2,4,6,3,7,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,4,6,5,1,3,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,4,6,5,1,7,3] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,4,6,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,4,6,5,7,1,3] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,4,6,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,4,6,7,1,3,5] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,7,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,4,6,7,3,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,7,3,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,6,7,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,4,6,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,1,3,5,6] => [4,5,7,1,2,6,3] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0

[2,4,7,1,3,6,5] => [4,5,7,1,2,6,3] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0

[2,4,7,1,5,3,6] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0

[2,4,7,1,5,6,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,4,7,1,6,3,5] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0

[2,4,7,1,6,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,4,7,3,1,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,3,1,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,3,5,1,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[2,4,7,3,5,6,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,4,7,3,6,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[2,4,7,3,6,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[2,4,7,5,1,3,6] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,5,1,6,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,4,7,5,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,5,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,5,6,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,4,7,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,6,1,3,5] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,6,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,4,7,6,3,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,6,3,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,4,7,6,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,4,7,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,1,3,4,6,7] => [3,5,1,4,2,6,7] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => 2

[2,5,1,3,4,7,6] => [3,5,1,4,2,7,6] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => 0

[2,5,1,3,6,4,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 1

[2,5,1,3,6,7,4] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,3,7,4,6] => [3,6,1,4,7,2,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0

[2,5,1,3,7,6,4] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,5,1,4,3,6,7] => [3,5,1,4,2,6,7] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => 2

[2,5,1,4,3,7,6] => [3,5,1,4,2,7,6] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => 0

[2,5,1,4,6,3,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 1

[2,5,1,4,6,7,3] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,4,7,3,6] => [3,6,1,4,7,2,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0

[2,5,1,4,7,6,3] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,5,1,6,3,4,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,5,1,6,3,7,4] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,5,1,6,4,3,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,5,1,6,4,7,3] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,5,1,6,7,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,6,7,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,3,4,6] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,3,6,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,4,3,6] => [3,6,1,7,5,2,4] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,4,6,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,6,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,1,7,6,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,5,3,1,4,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,5,3,1,4,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,5,3,1,6,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,3,1,6,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,3,1,7,4,6] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[2,5,3,1,7,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,5,3,4,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,5,3,4,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,5,3,4,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,3,4,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,3,4,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[2,5,3,4,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[2,5,3,6,1,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[2,5,3,6,1,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,5,3,6,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[2,5,3,6,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[2,5,3,6,7,1,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,3,6,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,3,7,1,4,6] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0

[2,5,3,7,1,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,5,3,7,4,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[2,5,3,7,4,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[2,5,3,7,6,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,5,3,7,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,5,4,1,3,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,5,4,1,3,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,5,4,1,6,3,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,4,1,6,7,3] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,4,1,7,3,6] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[2,5,4,1,7,6,3] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,5,4,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[2,5,4,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[2,5,4,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,4,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,4,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[2,5,4,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[2,5,4,6,1,3,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[2,5,4,6,1,7,3] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,5,4,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[2,5,4,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[2,5,4,6,7,1,3] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,4,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,4,7,1,3,6] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0

[2,5,4,7,1,6,3] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,5,4,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[2,5,4,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[2,5,4,7,6,1,3] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,5,4,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,5,6,1,3,4,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,6,1,3,7,4] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,6,1,4,3,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,6,1,4,7,3] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,6,1,7,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,6,1,7,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,6,3,1,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,6,3,1,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,6,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,5,6,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,5,6,3,7,1,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,5,6,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,5,6,4,1,3,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,5,6,4,1,7,3] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,5,6,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,5,6,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,5,6,4,7,1,3] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,5,6,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,5,6,7,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,6,7,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,6,7,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,6,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,6,7,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,6,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,1,3,4,6] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0

[2,5,7,1,3,6,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,7,1,4,3,6] => [4,6,7,1,5,2,3] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0

[2,5,7,1,4,6,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,7,1,6,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,7,1,6,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,5,7,3,1,4,6] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,3,1,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,7,3,4,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,3,4,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,3,6,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,7,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,4,1,3,6] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,4,1,6,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,7,4,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,4,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,4,6,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,7,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,6,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,7,6,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,5,7,6,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,7,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,5,7,6,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,5,7,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,1,3,4,5,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 1

[2,6,1,3,4,7,5] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,3,5,4,7] => [3,6,1,4,5,2,7] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => 1

[2,6,1,3,5,7,4] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,3,7,4,5] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,6,1,3,7,5,4] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,6,1,4,3,5,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,6,1,4,3,7,5] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,6,1,4,5,3,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,6,1,4,5,7,3] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,6,1,4,7,3,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,4,7,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,5,3,4,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,6,1,5,3,7,4] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,6,1,5,4,3,7] => [3,6,1,5,4,2,7] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => 1

[2,6,1,5,4,7,3] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,6,1,5,7,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,5,7,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,3,4,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,3,5,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,4,3,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,4,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,5,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,1,7,5,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,6,3,1,4,5,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,3,1,4,7,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,1,5,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,3,1,5,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,1,7,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,6,3,1,7,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,6,3,4,1,5,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[2,6,3,4,1,7,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,6,3,4,5,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[2,6,3,4,5,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[2,6,3,4,7,1,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,4,7,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,5,1,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[2,6,3,5,1,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,6,3,5,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[2,6,3,5,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[2,6,3,5,7,1,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,5,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,3,7,1,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,6,3,7,1,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,6,3,7,4,1,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,6,3,7,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,6,3,7,5,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,6,3,7,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,6,4,1,3,5,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,4,1,3,7,5] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,4,1,5,3,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,4,1,5,7,3] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,4,1,7,3,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,4,1,7,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,4,3,1,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,4,3,1,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,4,3,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,6,4,3,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,6,4,3,7,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,6,4,3,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,6,4,5,1,3,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,4,5,1,7,3] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,4,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,6,4,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,6,4,5,7,1,3] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,6,4,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,6,4,7,1,3,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,4,7,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,4,7,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,4,7,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,4,7,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,4,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,1,3,4,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,5,1,3,7,4] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,1,4,3,7] => [4,6,5,1,3,2,7] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,5,1,4,7,3] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,1,7,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,5,1,7,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,5,3,1,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,5,3,1,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,6,5,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,6,5,3,7,1,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,6,5,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,6,5,4,1,3,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[2,6,5,4,1,7,3] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[2,6,5,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[2,6,5,4,7,1,3] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,6,5,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,6,5,7,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,5,7,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,5,7,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,5,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,5,7,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,5,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,1,3,4,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,1,3,5,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,1,4,3,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,1,4,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,1,5,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,1,5,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,6,7,3,1,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,3,1,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,3,4,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,3,5,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,4,1,3,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,4,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,4,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,4,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,5,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,5,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,6,7,5,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,6,7,5,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,6,7,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,1,3,4,5,6] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,3,4,6,5] => [3,7,1,4,5,6,2] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,3,5,4,6] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,7,1,3,5,6,4] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,7,1,3,6,4,5] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,7,1,3,6,5,4] => [3,7,1,4,6,5,2] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => 0

[2,7,1,4,3,5,6] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,7,1,4,3,6,5] => [3,7,1,5,4,6,2] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => 0

[2,7,1,4,5,3,6] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,4,5,6,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,4,6,3,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,4,6,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,3,4,6] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,3,6,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,4,3,6] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,4,6,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,6,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,5,6,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,3,4,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,3,5,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,4,3,5] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,4,5,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,5,3,4] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,1,6,5,4,3] => [3,7,1,6,5,4,2] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => 0

[2,7,3,1,4,5,6] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,1,4,6,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,1,5,4,6] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,7,3,1,5,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,7,3,1,6,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,7,3,1,6,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[2,7,3,4,1,5,6] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,7,3,4,1,6,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[2,7,3,4,5,1,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,4,5,6,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,4,6,1,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,4,6,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,3,5,1,4,6] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,7,3,5,1,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,7,3,5,4,1,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,7,3,5,4,6,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,7,3,5,6,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,7,3,5,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,7,3,6,1,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,7,3,6,1,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[2,7,3,6,4,1,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,7,3,6,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,7,3,6,5,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[2,7,3,6,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[2,7,4,1,3,5,6] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,1,3,6,5] => [4,7,5,1,3,6,2] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,1,5,3,6] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,4,1,5,6,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,4,1,6,3,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,4,1,6,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,4,3,1,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,3,1,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,3,5,1,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,7,4,3,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,7,4,3,6,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[2,7,4,3,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[2,7,4,5,1,3,6] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,4,5,1,6,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,4,5,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,4,5,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,5,6,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,4,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,6,1,3,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,4,6,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,4,6,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,4,6,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,4,6,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,4,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,1,3,4,6] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,1,3,6,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,1,4,3,6] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,1,4,6,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,1,6,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,1,6,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,5,3,1,4,6] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,3,1,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,3,4,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,3,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,3,6,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,4,1,3,6] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,4,1,6,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,4,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,4,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,4,6,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,6,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,6,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,5,6,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,5,6,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,5,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,1,3,4,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,1,3,5,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,1,4,3,5] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,1,4,5,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,1,5,3,4] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,1,5,4,3] => [4,7,6,1,5,3,2] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => 0

[2,7,6,3,1,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,3,1,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,3,4,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,3,5,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,4,1,3,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,4,1,5,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,4,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,4,5,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,5,1,3,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,5,1,4,3] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[2,7,6,5,3,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[2,7,6,5,4,1,3] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[2,7,6,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,2,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 4

[3,1,2,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 2

[3,1,2,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 2

[3,1,2,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,1,2,4,7,5,6] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,1,2,4,7,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,1,2,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 2

[3,1,2,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 0

[3,1,2,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,1,2,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,1,2,5,7,4,6] => [3,2,1,6,7,4,5] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => 0

[3,1,2,5,7,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,6,4,5,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,1,2,6,4,7,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,1,2,6,5,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,1,2,6,5,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,1,2,6,7,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,6,7,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,7,4,5,6] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,1,2,7,4,6,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,1,2,7,5,4,6] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,7,5,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,7,6,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,2,7,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,1,4,2,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 3

[3,1,4,2,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 1

[3,1,4,2,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 1

[3,1,4,2,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,1,4,2,7,5,6] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,1,4,2,7,6,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,1,4,5,2,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,1,4,5,2,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,1,4,5,6,2,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,4,5,6,7,2] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,5,7,2,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[3,1,4,5,7,6,2] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,1,4,6,2,5,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => 1

[3,1,4,6,2,7,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,1,4,6,5,2,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[3,1,4,6,5,7,2] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[3,1,4,6,7,2,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,6,7,5,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,7,2,5,6] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,1,4,7,2,6,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,1,4,7,5,2,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,7,5,6,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,7,6,2,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,4,7,6,5,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,2,4,6,7] => [4,2,5,1,3,6,7] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => 2

[3,1,5,2,4,7,6] => [4,2,5,1,3,7,6] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => 0

[3,1,5,2,6,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,1,5,2,6,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,1,5,2,7,4,6] => [4,2,6,1,7,3,5] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0

[3,1,5,2,7,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,5,4,2,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[3,1,5,4,2,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[3,1,5,4,6,2,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[3,1,5,4,6,7,2] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[3,1,5,4,7,2,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[3,1,5,4,7,6,2] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[3,1,5,6,2,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,5,6,2,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,6,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,5,6,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,6,7,2,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,1,5,6,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,1,5,7,2,4,6] => [5,2,6,7,1,3,4] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0

[3,1,5,7,2,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,7,4,2,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,7,4,6,2] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,7,6,2,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,5,7,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,6,2,4,5,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,1,6,2,4,7,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,1,6,2,5,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,1,6,2,5,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,1,6,2,7,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,6,2,7,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,6,4,2,5,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,6,4,2,7,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,4,5,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,6,4,5,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,4,7,2,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,1,6,4,7,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,1,6,5,2,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,6,5,2,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,5,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,1,6,5,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,5,7,2,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,1,6,5,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,1,6,7,2,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,7,2,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,7,4,2,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,7,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,6,7,5,2,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,6,7,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,7,2,4,5,6] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,1,7,2,4,6,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,1,7,2,5,4,6] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,7,2,5,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,7,2,6,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,7,2,6,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,1,7,4,2,5,6] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,4,2,6,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,4,5,2,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,1,7,4,5,6,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,1,7,4,6,2,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,1,7,4,6,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,1,7,5,2,4,6] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,5,2,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,5,4,2,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,5,4,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,7,5,6,2,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,5,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,7,6,2,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,6,2,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,6,4,2,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,6,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,1,7,6,5,2,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,1,7,6,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => 4

[3,2,1,4,5,7,6] => [3,2,1,4,5,7,6] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => 2

[3,2,1,4,6,5,7] => [3,2,1,4,6,5,7] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => 2

[3,2,1,4,6,7,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,2,1,4,7,5,6] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,2,1,4,7,6,5] => [3,2,1,4,7,6,5] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => 1

[3,2,1,5,4,6,7] => [3,2,1,5,4,6,7] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => 2

[3,2,1,5,4,7,6] => [3,2,1,5,4,7,6] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => 0

[3,2,1,5,6,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,2,1,5,6,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,2,1,5,7,4,6] => [3,2,1,6,7,4,5] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => 0

[3,2,1,5,7,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,6,4,5,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,2,1,6,4,7,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,2,1,6,5,4,7] => [3,2,1,6,5,4,7] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => 1

[3,2,1,6,5,7,4] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,2,1,6,7,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,6,7,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,7,4,5,6] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,2,1,7,4,6,5] => [3,2,1,7,5,6,4] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => 0

[3,2,1,7,5,4,6] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,7,5,6,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,7,6,4,5] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,1,7,6,5,4] => [3,2,1,7,6,5,4] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => 0

[3,2,4,1,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 3

[3,2,4,1,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 1

[3,2,4,1,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 1

[3,2,4,1,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,2,4,1,7,5,6] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,2,4,1,7,6,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[3,2,4,5,1,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,2,4,5,1,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,2,4,5,6,1,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,4,5,6,7,1] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,5,7,1,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[3,2,4,5,7,6,1] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,2,4,6,1,5,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => 1

[3,2,4,6,1,7,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,2,4,6,5,1,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[3,2,4,6,5,7,1] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[3,2,4,6,7,1,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,6,7,5,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,7,1,5,6] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,2,4,7,1,6,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[3,2,4,7,5,1,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,7,5,6,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,7,6,1,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,4,7,6,5,1] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,1,4,6,7] => [4,2,5,1,3,6,7] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => 2

[3,2,5,1,4,7,6] => [4,2,5,1,3,7,6] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => 0

[3,2,5,1,6,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,2,5,1,6,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,2,5,1,7,4,6] => [4,2,6,1,7,3,5] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0

[3,2,5,1,7,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,5,4,1,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[3,2,5,4,1,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[3,2,5,4,6,1,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[3,2,5,4,6,7,1] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[3,2,5,4,7,1,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[3,2,5,4,7,6,1] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[3,2,5,6,1,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,5,6,1,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,6,4,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,5,6,4,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,6,7,1,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,2,5,6,7,4,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,2,5,7,1,4,6] => [5,2,6,7,1,3,4] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0

[3,2,5,7,1,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,7,4,1,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,7,4,6,1] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,7,6,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,5,7,6,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,6,1,4,5,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,2,6,1,4,7,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,2,6,1,5,4,7] => [4,2,6,1,5,3,7] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => 1

[3,2,6,1,5,7,4] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,2,6,1,7,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,6,1,7,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,6,4,1,5,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,6,4,1,7,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,4,5,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,6,4,5,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,4,7,1,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,2,6,4,7,5,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,2,6,5,1,4,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,6,5,1,7,4] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,5,4,1,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,2,6,5,4,7,1] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,5,7,1,4] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,2,6,5,7,4,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,2,6,7,1,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,7,1,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,7,4,1,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,7,4,5,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,6,7,5,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,6,7,5,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,7,1,4,5,6] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,2,7,1,4,6,5] => [4,2,7,1,5,6,3] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0

[3,2,7,1,5,4,6] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,7,1,5,6,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,7,1,6,4,5] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,7,1,6,5,4] => [4,2,7,1,6,5,3] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => 0

[3,2,7,4,1,5,6] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,4,1,6,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,4,5,1,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,2,7,4,5,6,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,2,7,4,6,1,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[3,2,7,4,6,5,1] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,2,7,5,1,4,6] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,5,1,6,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,5,4,1,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,5,4,6,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,7,5,6,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,5,6,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,7,6,1,4,5] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,6,1,5,4] => [5,2,7,6,1,4,3] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,6,4,1,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,6,4,5,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,2,7,6,5,1,4] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[3,2,7,6,5,4,1] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[3,4,1,2,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[3,4,1,2,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[3,4,1,2,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[3,4,1,2,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,1,2,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,1,2,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,1,5,2,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[3,4,1,5,2,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[3,4,1,5,6,2,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[3,4,1,5,6,7,2] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,5,7,2,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[3,4,1,5,7,6,2] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[3,4,1,6,2,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[3,4,1,6,2,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,1,6,5,2,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[3,4,1,6,5,7,2] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[3,4,1,6,7,2,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,6,7,5,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,7,2,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,1,7,2,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,1,7,5,2,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,7,5,6,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,7,6,2,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,1,7,6,5,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,1,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[3,4,2,1,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[3,4,2,1,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[3,4,2,1,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,2,1,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,2,1,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[3,4,2,5,1,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[3,4,2,5,1,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[3,4,2,5,6,1,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[3,4,2,5,6,7,1] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,5,7,1,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[3,4,2,5,7,6,1] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[3,4,2,6,1,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[3,4,2,6,1,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,2,6,5,1,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[3,4,2,6,5,7,1] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[3,4,2,6,7,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,6,7,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,7,1,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,2,7,1,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[3,4,2,7,5,1,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,7,5,6,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,7,6,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[3,4,2,7,6,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[3,4,5,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,4,5,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,4,5,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,5,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,4,5,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,4,5,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,4,5,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,4,5,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,4,5,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,5,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,4,5,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,4,5,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,4,5,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,4,5,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,4,5,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,4,5,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,4,5,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,4,5,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,4,5,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,4,5,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,4,5,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,4,5,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,4,5,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,4,5,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,4,6,1,2,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,6,1,2,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,1,5,2,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,6,1,5,7,2] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,1,7,2,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,6,1,7,5,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,6,2,1,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,6,2,1,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,2,5,1,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[3,4,6,2,5,7,1] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,2,7,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,6,2,7,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,6,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,4,6,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,4,6,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,4,6,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,4,6,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,4,6,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,4,6,7,1,2,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,7,1,5,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,7,2,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,7,2,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,6,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,1,2,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,1,2,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,1,5,2,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,7,1,5,6,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,7,1,6,2,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,7,1,6,5,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,7,2,1,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,2,1,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,2,5,1,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,7,2,5,6,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,7,2,6,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[3,4,7,2,6,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[3,4,7,5,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,5,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,5,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,5,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,1,2,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,1,5,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,2,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,2,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,4,7,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,1,2,4,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,1,2,4,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,1,2,6,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,1,2,6,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,1,2,7,4,6] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[3,5,1,2,7,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,1,4,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,1,4,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,1,4,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,1,4,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,1,4,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,5,1,4,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,1,6,2,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,5,1,6,2,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,5,1,6,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,5,1,6,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,5,1,6,7,2,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,1,6,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,1,7,2,4,6] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0

[3,5,1,7,2,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,5,1,7,4,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,5,1,7,4,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,5,1,7,6,2,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,5,1,7,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,5,2,1,4,6,7] => [4,5,3,1,2,6,7] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,2,1,4,7,6] => [4,5,3,1,2,7,6] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,2,1,6,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,2,1,6,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,2,1,7,4,6] => [4,6,3,1,7,2,5] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[3,5,2,1,7,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,2,4,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,2,4,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,2,4,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,2,4,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,2,4,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,5,2,4,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,2,6,1,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,5,2,6,1,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,5,2,6,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,5,2,6,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,5,2,6,7,1,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,2,6,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,2,7,1,4,6] => [5,6,3,7,1,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0

[3,5,2,7,1,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,5,2,7,4,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,5,2,7,4,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,5,2,7,6,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,5,2,7,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,5,4,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,4,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,4,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,4,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,4,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,5,4,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,4,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[3,5,4,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[3,5,4,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,4,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,4,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[3,5,4,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[3,5,4,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,5,4,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,5,4,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,5,4,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,5,4,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,4,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,4,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,5,4,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,5,4,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[3,5,4,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[3,5,4,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,5,4,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,5,6,1,2,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,6,1,2,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,6,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,5,6,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,5,6,1,7,2,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,5,6,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,5,6,2,1,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,5,6,2,1,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,5,6,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,5,6,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,5,6,2,7,1,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,5,6,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,5,6,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,5,6,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,5,6,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,5,6,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,5,6,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,5,6,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,5,6,7,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,6,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,6,7,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,6,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,6,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,6,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,1,2,4,6] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,1,2,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,5,7,1,4,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,1,4,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,1,6,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,7,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,2,1,4,6] => [5,6,7,4,1,2,3] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,2,1,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,5,7,2,4,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,2,4,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,2,6,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,7,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,6,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,7,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,6,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,5,7,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,5,7,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,2,4,5,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,1,2,4,7,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,2,5,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,1,2,5,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,2,7,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,6,1,2,7,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,6,1,4,2,5,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,6,1,4,2,7,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,6,1,4,5,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,6,1,4,5,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,6,1,4,7,2,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,4,7,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,5,2,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,6,1,5,2,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,6,1,5,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,6,1,5,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,6,1,5,7,2,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,5,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,1,7,2,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,6,1,7,2,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,6,1,7,4,2,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,6,1,7,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,6,1,7,5,2,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,6,1,7,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,6,2,1,4,5,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,2,1,4,7,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,1,5,4,7] => [4,6,3,1,5,2,7] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,2,1,5,7,4] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,1,7,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,6,2,1,7,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,6,2,4,1,5,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,6,2,4,1,7,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,6,2,4,5,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,6,2,4,5,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,6,2,4,7,1,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,4,7,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,5,1,4,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[3,6,2,5,1,7,4] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,6,2,5,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[3,6,2,5,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[3,6,2,5,7,1,4] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,5,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,2,7,1,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,6,2,7,1,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,6,2,7,4,1,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,6,2,7,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,6,2,7,5,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,6,2,7,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,6,4,1,2,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,4,1,2,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,4,1,5,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,4,1,5,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,4,1,7,2,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,6,4,1,7,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,4,2,1,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,4,2,1,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,4,2,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,4,2,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,4,2,7,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,6,4,2,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,4,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,4,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,4,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,4,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,4,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,4,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,4,7,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,4,7,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,4,7,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,4,7,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,4,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,4,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,1,2,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,5,1,2,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,5,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,5,1,7,2,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,6,5,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,5,2,1,4,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[3,6,5,2,1,7,4] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,5,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,5,2,7,1,4] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,6,5,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,5,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,5,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,5,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[3,6,5,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[3,6,5,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,5,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,6,5,7,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,5,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,7,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,5,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,5,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,1,2,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,6,7,1,2,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,6,7,1,4,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,1,5,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,2,1,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,6,7,2,1,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,6,7,2,4,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,2,5,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,4,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,4,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,5,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,5,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,6,7,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,6,7,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,2,4,5,6] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,2,4,6,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,2,5,4,6] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,1,2,5,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,1,2,6,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,1,2,6,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,1,4,2,5,6] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,7,1,4,2,6,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,7,1,4,5,2,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,4,5,6,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,4,6,2,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,4,6,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,1,5,2,4,6] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,1,5,2,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,1,5,4,2,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,1,5,4,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,1,5,6,2,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,1,5,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,1,6,2,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,1,6,2,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,1,6,4,2,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,1,6,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,1,6,5,2,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,1,6,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,2,1,4,5,6] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,1,4,6,5] => [4,7,3,1,5,6,2] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,1,5,4,6] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,2,1,5,6,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,2,1,6,4,5] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,2,1,6,5,4] => [4,7,3,1,6,5,2] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[3,7,2,4,1,5,6] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,7,2,4,1,6,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[3,7,2,4,5,1,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,4,5,6,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,4,6,1,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,4,6,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,2,5,1,4,6] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,2,5,1,6,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,2,5,4,1,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,2,5,4,6,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,2,5,6,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,2,5,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,2,6,1,4,5] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,2,6,1,5,4] => [5,7,3,6,1,4,2] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => 0

[3,7,2,6,4,1,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,2,6,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,2,6,5,1,4] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[3,7,2,6,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[3,7,4,1,2,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,1,2,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,1,5,2,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,7,4,1,5,6,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,7,4,1,6,2,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,7,4,1,6,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,7,4,2,1,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,2,1,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,2,5,1,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,7,4,2,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,7,4,2,6,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[3,7,4,2,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[3,7,4,5,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,4,5,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,5,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,4,5,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,6,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,4,6,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,6,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,4,6,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,4,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,1,2,4,6] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,5,1,2,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,5,1,4,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,1,4,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,1,6,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,2,1,4,6] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,5,2,1,6,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,5,2,4,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,2,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,2,6,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,4,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,4,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,4,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,4,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,6,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,6,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,5,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,5,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,1,2,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,6,1,2,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,6,1,4,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,1,5,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,2,1,4,5] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,6,2,1,5,4] => [5,7,6,4,1,3,2] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => 0

[3,7,6,2,4,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,2,5,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,4,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,4,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,5,1,2,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,5,2,1,4] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[3,7,6,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[3,7,6,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,3,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 3

[4,1,2,3,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 1

[4,1,2,3,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 1

[4,1,2,3,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,2,3,7,5,6] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,2,3,7,6,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,2,5,3,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,1,2,5,3,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,1,2,5,6,3,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,2,5,6,7,3] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,5,7,3,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[4,1,2,5,7,6,3] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[4,1,2,6,3,5,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => 1

[4,1,2,6,3,7,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,2,6,5,3,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[4,1,2,6,5,7,3] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[4,1,2,6,7,3,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,6,7,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,7,3,5,6] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,2,7,3,6,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,2,7,5,3,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,7,5,6,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,7,6,3,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,2,7,6,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,2,5,6,7] => [4,2,3,1,5,6,7] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => 3

[4,1,3,2,5,7,6] => [4,2,3,1,5,7,6] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => 1

[4,1,3,2,6,5,7] => [4,2,3,1,6,5,7] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => 1

[4,1,3,2,6,7,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,3,2,7,5,6] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,3,2,7,6,5] => [4,2,3,1,7,6,5] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => 0

[4,1,3,5,2,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,1,3,5,2,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,1,3,5,6,2,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,3,5,6,7,2] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,5,7,2,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[4,1,3,5,7,6,2] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[4,1,3,6,2,5,7] => [5,2,3,6,1,4,7] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => 1

[4,1,3,6,2,7,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,3,6,5,2,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[4,1,3,6,5,7,2] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[4,1,3,6,7,2,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,6,7,5,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,7,2,5,6] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,3,7,2,6,5] => [5,2,3,7,1,6,4] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0

[4,1,3,7,5,2,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,7,5,6,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,7,6,2,5] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,3,7,6,5,2] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,2,3,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[4,1,5,2,3,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[4,1,5,2,6,3,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[4,1,5,2,6,7,3] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[4,1,5,2,7,3,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[4,1,5,2,7,6,3] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[4,1,5,3,2,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[4,1,5,3,2,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[4,1,5,3,6,2,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[4,1,5,3,6,7,2] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[4,1,5,3,7,2,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[4,1,5,3,7,6,2] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[4,1,5,6,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,5,6,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,6,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,5,6,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,6,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,5,6,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,5,7,2,3,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,7,2,6,3] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,7,3,2,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,7,3,6,2] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[4,1,5,7,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,5,7,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,6,2,3,5,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,2,3,7,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,2,5,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,2,5,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,2,7,3,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,6,2,7,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,6,3,2,5,7] => [5,2,6,4,1,3,7] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,3,2,7,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,3,5,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,3,5,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,3,7,2,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,6,3,7,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,6,5,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,5,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,5,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,1,6,5,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,5,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,6,5,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,6,7,2,3,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,7,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,6,7,3,2,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,6,7,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,6,7,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,6,7,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,2,3,5,6] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,2,3,6,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,2,5,3,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,7,2,5,6,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,7,2,6,3,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,7,2,6,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,7,3,2,5,6] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,3,2,6,5] => [5,2,7,4,1,6,3] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,3,5,2,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,7,3,5,6,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,7,3,6,2,5] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[4,1,7,3,6,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,1,7,5,2,3,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,5,2,6,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,5,3,2,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,5,3,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,5,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,5,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,6,2,3,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,6,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,6,3,2,5] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[4,1,7,6,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,6,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,1,7,6,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[4,2,1,3,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[4,2,1,3,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[4,2,1,3,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[4,2,1,3,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,1,3,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,1,3,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,1,5,3,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[4,2,1,5,3,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[4,2,1,5,6,3,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[4,2,1,5,6,7,3] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,5,7,3,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[4,2,1,5,7,6,3] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[4,2,1,6,3,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[4,2,1,6,3,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,1,6,5,3,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[4,2,1,6,5,7,3] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[4,2,1,6,7,3,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,6,7,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,7,3,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,1,7,3,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,1,7,5,3,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,7,5,6,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,7,6,3,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,1,7,6,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,1,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[4,2,3,1,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[4,2,3,1,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[4,2,3,1,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,3,1,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,3,1,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,2,3,5,1,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[4,2,3,5,1,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[4,2,3,5,6,1,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[4,2,3,5,6,7,1] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,5,7,1,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[4,2,3,5,7,6,1] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[4,2,3,6,1,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[4,2,3,6,1,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,3,6,5,1,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[4,2,3,6,5,7,1] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[4,2,3,6,7,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,6,7,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,7,1,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,3,7,1,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,2,3,7,5,1,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,7,5,6,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,7,6,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,2,3,7,6,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,2,5,1,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,2,5,1,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,2,5,1,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,5,1,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,2,5,1,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,2,5,1,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,2,5,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,2,5,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,2,5,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,5,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,2,5,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,2,5,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,2,5,6,1,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,2,5,6,1,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,2,5,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,2,5,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,2,5,6,7,1,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,2,5,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,2,5,7,1,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,2,5,7,1,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,2,5,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,2,5,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,2,5,7,6,1,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,2,5,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,2,6,1,3,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,6,1,3,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,1,5,3,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,6,1,5,7,3] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,1,7,3,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,6,1,7,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,6,3,1,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,6,3,1,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,3,5,1,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,2,6,3,5,7,1] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,3,7,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,6,3,7,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,6,5,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,2,6,5,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,2,6,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,2,6,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,2,6,5,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,2,6,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,2,6,7,1,3,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,7,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,7,3,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,7,3,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,7,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,6,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,1,3,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,1,3,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,1,5,3,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,7,1,5,6,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,7,1,6,3,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,7,1,6,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,7,3,1,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,3,1,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,3,5,1,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,7,3,5,6,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,7,3,6,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,2,7,3,6,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,2,7,5,1,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,5,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,5,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,5,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,5,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,1,3,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,3,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,3,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,2,7,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,1,2,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[4,3,1,2,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[4,3,1,2,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[4,3,1,2,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,1,2,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,1,2,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,1,5,2,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[4,3,1,5,2,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[4,3,1,5,6,2,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[4,3,1,5,6,7,2] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,5,7,2,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[4,3,1,5,7,6,2] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[4,3,1,6,2,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[4,3,1,6,2,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,1,6,5,2,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[4,3,1,6,5,7,2] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[4,3,1,6,7,2,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,6,7,5,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,7,2,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,1,7,2,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,1,7,5,2,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,7,5,6,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,7,6,2,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,1,7,6,5,2] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => 3

[4,3,2,1,5,7,6] => [4,3,2,1,5,7,6] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => 1

[4,3,2,1,6,5,7] => [4,3,2,1,6,5,7] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => 1

[4,3,2,1,6,7,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,2,1,7,5,6] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,2,1,7,6,5] => [4,3,2,1,7,6,5] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => 0

[4,3,2,5,1,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[4,3,2,5,1,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[4,3,2,5,6,1,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[4,3,2,5,6,7,1] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,5,7,1,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[4,3,2,5,7,6,1] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[4,3,2,6,1,5,7] => [5,3,2,6,1,4,7] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => 1

[4,3,2,6,1,7,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,2,6,5,1,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[4,3,2,6,5,7,1] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[4,3,2,6,7,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,6,7,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,7,1,5,6] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,2,7,1,6,5] => [5,3,2,7,1,6,4] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => 0

[4,3,2,7,5,1,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,7,5,6,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,7,6,1,5] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[4,3,2,7,6,5,1] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[4,3,5,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,3,5,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,3,5,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,5,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,3,5,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,3,5,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,3,5,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,3,5,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,3,5,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,5,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,3,5,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,3,5,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,3,5,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,3,5,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,3,5,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,3,5,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,3,5,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,3,5,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,3,5,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,3,5,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,3,5,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,3,5,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,3,5,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,3,5,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,3,6,1,2,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,6,1,2,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,1,5,2,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,6,1,5,7,2] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,1,7,2,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,6,1,7,5,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,6,2,1,5,7] => [5,4,6,2,1,3,7] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,6,2,1,7,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,2,5,1,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[4,3,6,2,5,7,1] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,2,7,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,6,2,7,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,6,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,3,6,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,3,6,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,3,6,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,3,6,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,3,6,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,3,6,7,1,2,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,7,1,5,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,7,2,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,7,2,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,6,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,1,2,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,1,2,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,1,5,2,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,7,1,5,6,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,7,1,6,2,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,7,1,6,5,2] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,7,2,1,5,6] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,2,1,6,5] => [5,4,7,2,1,6,3] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,2,5,1,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,7,2,5,6,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,7,2,6,1,5] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[4,3,7,2,6,5,1] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[4,3,7,5,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,5,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,5,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,5,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,1,2,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,1,5,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,2,1,5] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,2,5,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,3,7,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,1,2,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,1,2,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,1,2,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,1,2,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,1,2,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,1,2,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,1,3,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,1,3,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,1,3,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,1,3,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,1,3,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,1,3,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,1,6,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,1,6,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,1,6,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,1,6,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,1,6,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,1,6,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,1,7,2,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,1,7,2,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,1,7,3,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,1,7,3,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,1,7,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,1,7,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,2,1,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,2,1,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,2,1,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,2,1,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,2,1,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,2,1,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,2,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,2,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,2,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,2,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,2,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,2,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,2,6,1,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,2,6,1,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,2,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,2,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,2,6,7,1,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,2,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,2,7,1,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,2,7,1,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,2,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,2,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,2,7,6,1,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,2,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,3,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,3,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,3,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,3,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,3,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,3,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,3,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[4,5,3,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[4,5,3,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,5,3,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,3,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[4,5,3,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[4,5,3,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,3,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,3,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,5,3,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,5,3,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,3,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,5,3,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,3,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,3,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[4,5,3,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[4,5,3,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,3,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,5,6,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,5,6,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,5,6,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,5,6,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,6,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,6,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,6,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,6,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,6,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,2,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,2,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,3,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,3,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,1,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,5,7,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,2,3,5,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[4,6,1,2,3,7,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,6,1,2,5,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,6,1,2,5,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,6,1,2,7,3,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,2,7,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,3,2,5,7] => [5,6,3,4,1,2,7] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => 1

[4,6,1,3,2,7,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,6,1,3,5,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,6,1,3,5,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,6,1,3,7,2,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,3,7,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,5,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,6,1,5,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,6,1,5,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[4,6,1,5,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[4,6,1,5,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,5,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,1,7,2,3,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,6,1,7,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,6,1,7,3,2,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,6,1,7,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,6,1,7,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,6,1,7,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,6,2,1,3,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,6,2,1,3,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,2,1,5,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,2,1,5,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,2,1,7,3,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,6,2,1,7,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,2,3,1,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,6,2,3,1,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,2,3,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,2,3,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,2,3,7,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,6,2,3,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,2,5,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,2,5,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,2,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,2,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,2,5,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,2,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,2,7,1,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,2,7,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,2,7,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,2,7,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,2,7,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,2,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,1,2,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,6,3,1,2,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,1,5,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,3,1,5,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,3,1,7,2,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,6,3,1,7,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,3,2,1,5,7] => [5,6,4,3,1,2,7] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => 1

[4,6,3,2,1,7,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,2,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,3,2,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,3,2,7,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,6,3,2,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,3,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,3,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,3,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,3,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,3,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,3,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,3,7,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,3,7,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,7,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,3,7,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,3,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[4,6,5,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[4,6,5,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,6,5,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,5,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,1,2,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,1,3,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,2,1,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,2,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,3,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,3,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,6,7,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,6,7,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,2,3,5,6] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,7,1,2,3,6,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,7,1,2,5,3,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,2,5,6,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,2,6,3,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,2,6,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,3,2,5,6] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,7,1,3,2,6,5] => [5,7,3,4,1,6,2] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0

[4,7,1,3,5,2,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,3,5,6,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,3,6,2,5] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,3,6,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,1,5,2,3,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,7,1,5,2,6,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,5,3,2,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,7,1,5,3,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,5,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,5,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,6,2,3,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,7,1,6,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,6,3,2,5] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[4,7,1,6,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,6,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,1,6,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[4,7,2,1,3,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,1,3,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,1,5,3,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,2,1,5,6,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,2,1,6,3,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,2,1,6,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,2,3,1,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,3,1,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,3,5,1,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,2,3,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,2,3,6,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,2,3,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,2,5,1,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,2,5,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,5,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,2,5,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,5,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,6,1,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,2,6,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,6,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,2,6,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,6,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,2,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,1,2,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,1,2,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,1,5,2,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,3,1,5,6,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,3,1,6,2,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,3,1,6,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,3,2,1,5,6] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,2,1,6,5] => [5,7,4,3,1,6,2] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,2,5,1,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,3,2,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,3,2,6,1,5] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[4,7,3,2,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[4,7,3,5,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,3,5,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,5,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,3,5,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,6,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,3,6,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,6,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,3,6,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,3,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,1,2,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,1,2,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,1,3,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,1,3,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,2,1,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,2,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,2,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,2,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,3,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,3,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,3,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,5,3,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,5,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,1,2,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,1,3,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,2,1,3,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,2,3,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,3,1,2,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,3,2,1,5] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[4,7,6,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[4,7,6,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,3,4,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,1,2,3,4,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,1,2,3,6,4,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,2,3,6,7,4] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,3,7,4,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[5,1,2,3,7,6,4] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[5,1,2,4,3,6,7] => [5,2,3,4,1,6,7] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,1,2,4,3,7,6] => [5,2,3,4,1,7,6] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,1,2,4,6,3,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,2,4,6,7,3] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,4,7,3,6] => [6,2,3,4,7,1,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0

[5,1,2,4,7,6,3] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[5,1,2,6,3,4,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[5,1,2,6,3,7,4] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[5,1,2,6,4,3,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[5,1,2,6,4,7,3] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[5,1,2,6,7,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,6,7,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,3,4,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,3,6,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,4,3,6] => [6,2,3,7,5,1,4] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,4,6,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,6,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,2,7,6,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,2,4,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[5,1,3,2,4,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[5,1,3,2,6,4,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[5,1,3,2,6,7,4] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[5,1,3,2,7,4,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[5,1,3,2,7,6,4] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[5,1,3,4,2,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[5,1,3,4,2,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[5,1,3,4,6,2,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[5,1,3,4,6,7,2] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[5,1,3,4,7,2,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[5,1,3,4,7,6,2] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[5,1,3,6,2,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,3,6,2,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,6,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,3,6,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,6,7,2,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,3,6,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,3,7,2,4,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,7,2,6,4] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,7,4,2,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,7,4,6,2] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,3,7,6,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,3,7,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,4,2,3,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[5,1,4,2,3,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[5,1,4,2,6,3,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[5,1,4,2,6,7,3] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[5,1,4,2,7,3,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[5,1,4,2,7,6,3] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[5,1,4,3,2,6,7] => [5,2,4,3,1,6,7] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => 2

[5,1,4,3,2,7,6] => [5,2,4,3,1,7,6] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => 0

[5,1,4,3,6,2,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[5,1,4,3,6,7,2] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[5,1,4,3,7,2,6] => [6,2,4,3,7,1,5] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => 0

[5,1,4,3,7,6,2] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[5,1,4,6,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,4,6,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,6,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,4,6,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,6,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,4,6,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,4,7,2,3,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,7,2,6,3] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,7,3,2,6] => [6,2,5,7,3,1,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,7,3,6,2] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[5,1,4,7,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,4,7,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,2,3,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,2,3,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,2,4,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,2,4,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,2,7,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,2,7,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,3,2,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,3,2,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,3,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,3,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,3,7,2,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,3,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,4,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,4,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,4,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,1,6,4,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,6,4,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,4,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,6,7,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,7,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,7,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,7,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,7,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,6,7,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,2,3,4,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[5,1,7,2,3,6,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,7,2,4,3,6] => [6,2,7,4,5,1,3] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0

[5,1,7,2,4,6,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,7,2,6,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,7,2,6,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,1,7,3,2,4,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,7,3,2,6,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,3,4,2,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,7,3,4,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,3,6,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,3,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,4,2,3,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,7,4,2,6,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,4,3,2,6] => [6,2,7,5,4,1,3] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => 0

[5,1,7,4,3,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,4,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,4,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,1,7,6,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[5,2,1,3,4,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[5,2,1,3,4,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[5,2,1,3,6,4,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[5,2,1,3,6,7,4] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,3,7,4,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[5,2,1,3,7,6,4] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[5,2,1,4,3,6,7] => [5,3,2,4,1,6,7] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => 2

[5,2,1,4,3,7,6] => [5,3,2,4,1,7,6] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => 0

[5,2,1,4,6,3,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[5,2,1,4,6,7,3] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,4,7,3,6] => [6,3,2,4,7,1,5] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => 0

[5,2,1,4,7,6,3] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[5,2,1,6,3,4,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[5,2,1,6,3,7,4] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[5,2,1,6,4,3,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[5,2,1,6,4,7,3] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[5,2,1,6,7,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,6,7,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,3,4,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,3,6,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,4,3,6] => [6,3,2,7,5,1,4] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,4,6,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,6,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,1,7,6,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[5,2,3,1,4,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,2,3,1,4,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,2,3,1,6,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,3,1,6,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,3,1,7,4,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,2,3,1,7,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,2,3,4,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,2,3,4,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,2,3,4,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,3,4,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,3,4,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,2,3,4,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,2,3,6,1,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,2,3,6,1,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,2,3,6,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,2,3,6,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,2,3,6,7,1,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,3,6,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,3,7,1,4,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,2,3,7,1,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,2,3,7,4,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,2,3,7,4,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,2,3,7,6,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,2,3,7,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,2,4,1,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,2,4,1,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,2,4,1,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,4,1,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,4,1,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,2,4,1,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,2,4,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,2,4,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,2,4,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,4,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,4,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,2,4,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,2,4,6,1,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,2,4,6,1,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,2,4,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,2,4,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,2,4,6,7,1,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,4,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,2,4,7,1,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,2,4,7,1,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,2,4,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,2,4,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,2,4,7,6,1,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,2,4,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,2,6,1,3,4,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,6,1,3,7,4] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,1,4,3,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[5,2,6,1,4,7,3] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,1,7,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,6,1,7,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,6,3,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,2,6,3,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,2,6,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,2,6,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,2,6,3,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,2,6,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,2,6,4,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,2,6,4,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,2,6,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,2,6,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,2,6,4,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,2,6,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,2,6,7,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,7,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,7,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,7,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,6,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,1,3,4,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[5,2,7,1,3,6,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,7,1,4,3,6] => [6,4,7,2,5,1,3] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0

[5,2,7,1,4,6,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,7,1,6,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,7,1,6,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[5,2,7,3,1,4,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,3,1,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,3,4,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,3,4,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,3,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,1,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,2,7,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,1,2,4,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,1,2,4,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,1,2,6,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,1,2,6,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,1,2,7,4,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,1,2,7,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,1,4,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,1,4,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,1,4,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,1,4,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,1,4,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,1,4,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,1,6,2,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,1,6,2,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,1,6,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,1,6,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,1,6,7,2,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,1,6,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,1,7,2,4,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,1,7,2,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,1,7,4,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,1,7,4,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,1,7,6,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,1,7,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,2,1,4,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,2,1,4,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,2,1,6,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,2,1,6,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,2,1,7,4,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,2,1,7,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,2,4,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,2,4,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,2,4,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,2,4,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,2,4,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,2,4,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,2,6,1,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,2,6,1,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,2,6,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,2,6,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,2,6,7,1,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,2,6,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,2,7,1,4,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,2,7,1,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,2,7,4,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,2,7,4,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,2,7,6,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,2,7,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,4,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,4,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,4,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,4,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,4,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,4,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,4,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,3,4,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,3,4,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,3,4,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,4,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,3,4,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,3,4,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,4,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,4,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,3,4,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,3,4,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,4,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,3,4,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,4,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,4,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,3,4,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,3,4,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,4,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,3,6,1,2,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,1,2,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,1,7,2,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,2,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,2,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,2,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,3,6,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,3,6,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,3,6,7,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,6,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,6,7,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,6,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,6,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,6,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,2,4,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,2,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,4,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,4,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,6,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,1,4,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,1,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,4,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,4,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,3,7,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,1,2,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,1,2,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,1,2,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,1,2,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,1,2,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,1,2,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,1,3,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,1,3,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,1,3,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,1,3,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,1,3,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,1,3,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,1,6,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,1,6,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,1,6,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,1,6,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,1,6,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,1,6,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,1,7,2,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,1,7,2,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,1,7,3,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,1,7,3,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,1,7,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,1,7,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,2,1,3,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,2,1,3,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,2,1,6,3,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,2,1,6,7,3] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,2,1,7,3,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,2,1,7,6,3] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,2,3,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,2,3,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,2,3,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,2,3,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,2,3,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,2,3,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,2,6,1,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,2,6,1,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,2,6,3,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,2,6,3,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,2,6,7,1,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,2,6,7,3,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,2,7,1,3,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,2,7,1,6,3] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,2,7,3,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,2,7,3,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,2,7,6,1,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,2,7,6,3,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,3,1,2,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,3,1,2,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,3,1,6,2,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,3,1,6,7,2] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,3,1,7,2,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,3,1,7,6,2] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => 2

[5,4,3,2,1,7,6] => [5,4,3,2,1,7,6] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => 0

[5,4,3,2,6,1,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[5,4,3,2,6,7,1] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,3,2,7,1,6] => [6,4,3,2,7,1,5] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => 0

[5,4,3,2,7,6,1] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[5,4,3,6,1,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,3,6,1,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,3,6,2,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,4,3,6,2,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,4,3,6,7,1,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,3,6,7,2,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,4,3,7,1,2,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,3,7,1,6,2] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,3,7,2,1,6] => [6,5,3,7,2,1,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0

[5,4,3,7,2,6,1] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[5,4,3,7,6,1,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,3,7,6,2,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,4,6,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,4,6,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,4,6,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,4,6,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,6,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,6,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,6,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,6,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,6,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,2,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,2,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,3,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,3,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,1,3,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,3,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,3,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,1,2,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,1,6,2] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,2,1,6] => [6,5,7,4,2,1,3] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,2,6,1] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,4,7,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,2,3,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,2,3,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,2,4,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,2,4,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,2,7,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,2,7,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,3,2,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,3,2,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,3,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,3,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,3,7,2,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,3,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,4,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,4,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,4,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[5,6,1,4,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[5,6,1,4,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,4,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,6,1,7,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,1,7,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,1,7,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,1,7,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,1,7,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,1,7,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,6,2,1,3,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,1,3,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,1,4,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,1,4,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,1,7,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,1,7,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,3,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,3,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,3,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,4,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,4,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,2,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,2,4,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,2,7,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,2,7,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,2,7,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,2,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,2,7,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,2,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,1,2,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,1,2,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,1,7,2,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,2,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,2,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,2,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,3,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,3,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,3,7,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,7,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,3,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[5,6,4,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[5,6,4,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,6,4,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,4,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,6,7,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,3,4,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,3,6,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,4,3,6] => [6,7,3,4,5,1,2] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,4,6,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,6,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,2,6,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[5,7,1,3,2,4,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[5,7,1,3,2,6,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,3,4,2,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[5,7,1,3,4,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,3,6,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,3,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,4,2,3,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[5,7,1,4,2,6,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,4,3,2,6] => [6,7,3,5,4,1,2] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => 0

[5,7,1,4,3,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,4,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,4,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,1,6,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[5,7,2,1,3,4,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[5,7,2,1,3,6,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,7,2,1,4,3,6] => [6,7,4,3,5,1,2] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => 0

[5,7,2,1,4,6,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,7,2,1,6,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,7,2,1,6,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[5,7,2,3,1,4,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,2,3,1,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,3,4,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,2,3,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,3,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,4,1,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,2,4,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,4,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,2,4,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,4,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,2,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,1,2,4,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,1,2,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,1,4,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,1,4,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,1,6,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,2,1,4,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,2,1,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,2,4,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,2,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,2,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,4,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,4,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,4,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,3,4,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,3,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,1,2,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,1,2,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,1,3,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,1,3,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,2,1,3,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,2,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,2,3,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,2,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,3,1,2,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,3,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,3,2,1,6] => [6,7,5,4,3,1,2] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => 0

[5,7,4,3,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,4,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[5,7,6,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,3,4,5,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,2,3,4,7,5] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,3,5,4,7] => [6,2,3,4,5,1,7] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,2,3,5,7,4] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,3,7,4,5] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[6,1,2,3,7,5,4] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[6,1,2,4,3,5,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[6,1,2,4,3,7,5] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[6,1,2,4,5,3,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[6,1,2,4,5,7,3] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[6,1,2,4,7,3,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,4,7,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,5,3,4,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[6,1,2,5,3,7,4] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[6,1,2,5,4,3,7] => [6,2,3,5,4,1,7] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => 1

[6,1,2,5,4,7,3] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[6,1,2,5,7,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,5,7,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,3,4,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,3,5,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,4,3,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,4,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,5,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,2,7,5,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,2,4,5,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[6,1,3,2,4,7,5] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[6,1,3,2,5,4,7] => [6,2,4,3,5,1,7] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => 1

[6,1,3,2,5,7,4] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[6,1,3,2,7,4,5] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[6,1,3,2,7,5,4] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[6,1,3,4,2,5,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,3,4,2,7,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,4,5,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,3,4,5,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,4,7,2,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,3,4,7,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,3,5,2,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,3,5,2,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,5,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,3,5,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,5,7,2,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,3,5,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,3,7,2,4,5] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,7,2,5,4] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[6,1,3,7,4,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,3,7,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,3,7,5,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,3,7,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,2,3,5,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,2,3,7,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,2,5,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,2,5,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,2,7,3,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,2,7,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,3,2,5,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,3,2,7,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,3,5,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,3,5,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,3,7,2,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,3,7,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,5,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,5,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,5,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,4,5,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,4,5,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,5,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,4,7,2,3,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,7,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,7,3,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,7,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,7,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,4,7,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,2,3,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,2,3,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,2,4,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,2,4,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,2,7,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,2,7,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,3,2,4,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,3,2,7,4] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,3,4,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,3,4,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,3,7,2,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,3,7,4,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,4,2,3,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,4,2,7,3] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,4,3,2,7] => [6,2,5,4,3,1,7] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,1,5,4,3,7,2] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,1,5,4,7,2,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,4,7,3,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,5,7,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,7,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,7,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,7,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,7,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,5,7,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,2,3,4,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,2,3,5,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,2,4,3,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,2,4,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,2,5,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,2,5,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,1,7,3,2,4,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,3,2,5,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,3,4,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,3,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,3,5,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,3,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,2,3,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,3,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,4,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,1,7,5,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[6,2,1,3,4,5,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[6,2,1,3,4,7,5] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,3,5,4,7] => [6,3,2,4,5,1,7] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => 1

[6,2,1,3,5,7,4] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,3,7,4,5] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[6,2,1,3,7,5,4] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[6,2,1,4,3,5,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[6,2,1,4,3,7,5] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[6,2,1,4,5,3,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[6,2,1,4,5,7,3] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[6,2,1,4,7,3,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,4,7,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,5,3,4,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[6,2,1,5,3,7,4] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[6,2,1,5,4,3,7] => [6,3,2,5,4,1,7] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => 1

[6,2,1,5,4,7,3] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[6,2,1,5,7,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,5,7,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,3,4,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,3,5,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,4,3,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,4,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,5,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,1,7,5,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[6,2,3,1,4,5,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,3,1,4,7,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,1,5,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,3,1,5,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,1,7,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,2,3,1,7,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,2,3,4,1,5,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,2,3,4,1,7,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,2,3,4,5,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,2,3,4,5,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,2,3,4,7,1,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,4,7,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,5,1,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,2,3,5,1,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,2,3,5,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,2,3,5,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,2,3,5,7,1,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,5,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,2,3,7,1,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,2,3,7,1,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,2,3,7,4,1,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,2,3,7,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,2,3,7,5,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,2,3,7,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,2,4,1,3,5,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,4,1,3,7,5] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,1,5,3,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,4,1,5,7,3] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,1,7,3,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,4,1,7,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,4,3,1,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,4,3,1,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,4,3,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,4,3,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,4,3,7,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,4,3,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,4,5,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,4,5,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,4,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,4,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,4,5,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,4,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,4,7,1,3,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,7,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,7,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,7,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,7,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,4,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,1,3,4,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,5,1,3,7,4] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,1,4,3,7] => [6,4,5,2,3,1,7] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => 1

[6,2,5,1,4,7,3] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,1,7,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,5,1,7,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,5,3,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,5,3,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,5,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,5,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,5,3,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,5,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,5,4,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,5,4,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,5,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,2,5,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,2,5,4,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,5,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,2,5,7,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,7,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,7,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,7,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,5,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,1,3,4,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,1,3,5,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,1,4,3,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,1,4,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,1,5,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,1,5,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[6,2,7,3,1,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,3,1,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,3,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,3,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,1,3,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,2,7,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,2,4,5,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,3,1,2,4,7,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,2,5,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,3,1,2,5,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,2,7,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,3,1,2,7,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,3,1,4,2,5,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,1,4,2,7,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,1,4,5,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,1,4,5,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,1,4,7,2,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,4,7,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,5,2,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,1,5,2,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,1,5,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,1,5,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,1,5,7,2,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,5,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,1,7,2,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,3,1,7,2,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,3,1,7,4,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,1,7,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,1,7,5,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,1,7,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,2,1,4,5,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,3,2,1,4,7,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,1,5,4,7] => [6,4,3,2,5,1,7] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => 1

[6,3,2,1,5,7,4] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,1,7,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,3,2,1,7,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[6,3,2,4,1,5,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,2,4,1,7,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,2,4,5,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,2,4,5,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,2,4,7,1,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,4,7,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,5,1,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,2,5,1,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,2,5,4,1,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,3,2,5,4,7,1] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,3,2,5,7,1,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,5,7,4,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,3,2,7,1,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,3,2,7,1,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[6,3,2,7,4,1,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,2,7,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,2,7,5,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,2,7,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,3,4,1,2,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,1,2,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,1,5,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,1,5,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,1,7,2,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,1,7,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,2,1,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,2,1,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,2,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,2,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,2,7,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,2,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,4,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,4,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,4,7,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,4,7,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,4,7,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,4,7,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,4,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,4,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,1,2,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,1,2,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,1,7,2,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,2,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,2,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,2,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,3,5,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,3,5,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,3,5,7,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,7,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,5,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,2,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,2,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,4,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,5,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,1,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,1,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,3,7,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,2,3,5,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,2,3,7,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,2,5,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,2,5,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,2,7,3,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,2,7,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,3,2,5,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,3,2,7,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,3,5,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,3,5,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,3,7,2,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,3,7,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,5,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,5,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,5,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,4,1,5,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,4,1,5,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,5,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,4,1,7,2,3,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,1,7,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,1,7,3,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,1,7,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,1,7,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,1,7,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,4,2,1,3,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,1,3,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,1,5,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,1,5,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,1,7,3,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,1,7,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,3,1,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,3,1,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,3,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,3,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,3,7,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,3,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,5,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,5,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,5,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,2,5,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,2,5,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,5,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,2,7,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,2,7,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,2,7,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,2,7,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,2,7,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,2,7,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,1,2,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,1,2,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,1,5,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,1,5,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,1,7,2,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,1,7,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,2,1,5,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,2,1,7,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,2,5,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,2,5,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,2,7,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,2,7,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,5,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,5,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,5,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,3,5,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,3,5,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,5,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,3,7,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,7,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,7,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,7,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,7,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,3,7,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,4,5,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,4,5,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,4,5,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,5,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,2,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,3,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,4,7,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,2,3,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,2,3,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,2,4,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,2,4,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,2,7,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,2,7,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,3,2,4,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,3,2,7,4] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,3,4,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,3,4,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,3,7,2,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,3,7,4,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,4,2,3,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,4,2,7,3] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,4,3,2,7] => [6,5,3,4,2,1,7] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => 1

[6,5,1,4,3,7,2] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[6,5,1,4,7,2,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,4,7,3,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,5,1,7,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,1,7,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,1,7,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,1,7,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,1,7,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,1,7,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,5,2,1,3,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,1,3,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,1,4,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,1,4,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,1,7,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,1,7,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,3,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,3,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,3,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,3,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,3,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,3,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,4,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,4,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,4,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,2,4,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,2,4,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,4,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,2,7,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,2,7,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,2,7,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,2,7,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,2,7,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,2,7,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,1,2,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,1,2,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,1,4,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,1,4,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,1,7,2,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,1,7,4,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,2,1,4,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,2,1,7,4] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,2,4,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,2,4,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,2,7,1,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,2,7,4,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,4,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,4,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,4,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,3,4,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,3,4,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,4,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,3,7,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,7,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,7,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,7,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,7,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,3,7,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,1,2,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,1,2,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,1,3,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,1,3,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,1,7,2,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,1,7,3,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,2,1,3,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,2,1,7,3] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,2,3,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,2,3,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,2,7,1,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,2,7,3,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,3,1,2,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,3,1,7,2] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => 1

[6,5,4,3,2,7,1] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[6,5,4,3,7,1,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,3,7,2,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,5,4,7,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,7,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,7,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,7,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,7,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,4,7,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,5,7,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,3,4,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,3,5,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,4,3,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,4,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,5,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,2,5,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[6,7,1,3,2,4,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,3,2,5,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,3,4,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,3,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,3,5,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,3,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,2,3,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,3,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,4,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,1,5,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[6,7,2,1,3,4,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,1,3,5,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,1,4,3,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,1,4,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,1,5,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,1,5,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[6,7,2,3,1,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,3,1,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,3,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,3,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,2,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,2,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,2,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,4,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,5,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,1,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,1,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,3,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,2,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,3,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,4,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[6,7,5,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,3,4,5,6] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,3,4,6,5] => [7,2,3,4,5,6,1] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,3,5,4,6] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[7,1,2,3,5,6,4] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[7,1,2,3,6,4,5] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[7,1,2,3,6,5,4] => [7,2,3,4,6,5,1] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => 0

[7,1,2,4,3,5,6] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[7,1,2,4,3,6,5] => [7,2,3,5,4,6,1] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => 0

[7,1,2,4,5,3,6] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,4,5,6,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,4,6,3,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,4,6,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,3,4,6] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,3,6,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,4,3,6] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,4,6,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,6,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,5,6,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,3,4,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,3,5,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,4,3,5] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,4,5,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,5,3,4] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,2,6,5,4,3] => [7,2,3,6,5,4,1] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,2,4,5,6] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[7,1,3,2,4,6,5] => [7,2,4,3,5,6,1] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => 0

[7,1,3,2,5,4,6] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[7,1,3,2,5,6,4] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[7,1,3,2,6,4,5] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[7,1,3,2,6,5,4] => [7,2,4,3,6,5,1] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => 0

[7,1,3,4,2,5,6] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,4,2,6,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,4,5,2,6] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,3,4,5,6,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,3,4,6,2,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,3,4,6,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,3,5,2,4,6] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,5,2,6,4] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,5,4,2,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,5,4,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,5,6,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,5,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,6,2,4,5] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,6,2,5,4] => [7,2,5,6,3,4,1] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => 0

[7,1,3,6,4,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,6,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,6,5,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,3,6,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,2,3,5,6] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,4,2,3,6,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,4,2,5,3,6] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,2,5,6,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,2,6,3,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,2,6,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,3,2,5,6] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,4,3,2,6,5] => [7,2,5,4,3,6,1] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,1,4,3,5,2,6] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,3,5,6,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,3,6,2,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,3,6,5,2] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,4,5,2,3,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,5,2,6,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,5,3,2,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,5,3,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,5,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,5,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,2,3,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,3,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,4,6,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,2,3,4,6] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,2,3,6,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,2,4,3,6] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,2,4,6,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,2,6,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,2,6,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,5,3,2,4,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,3,2,6,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,3,4,2,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,3,4,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,3,6,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,3,6,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,2,3,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,2,6,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,3,2,6] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,3,6,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,6,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,4,6,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,5,6,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,2,3,4,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,2,3,5,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,2,4,3,5] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,2,4,5,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,2,5,3,4] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,2,5,4,3] => [7,2,6,4,5,3,1] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,1,6,3,2,4,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,3,2,5,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,3,4,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,3,4,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,3,5,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,3,5,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,2,3,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,2,5,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,3,2,5] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,3,5,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,5,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,4,5,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,2,3,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,2,4,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,3,2,4] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,3,4,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,4,2,3] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,1,6,5,4,3,2] => [7,2,6,5,4,3,1] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => 0

[7,2,1,3,4,5,6] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,3,4,6,5] => [7,3,2,4,5,6,1] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,3,5,4,6] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[7,2,1,3,5,6,4] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[7,2,1,3,6,4,5] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[7,2,1,3,6,5,4] => [7,3,2,4,6,5,1] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => 0

[7,2,1,4,3,5,6] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[7,2,1,4,3,6,5] => [7,3,2,5,4,6,1] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => 0

[7,2,1,4,5,3,6] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,4,5,6,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,4,6,3,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,4,6,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,3,4,6] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,3,6,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,4,3,6] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,4,6,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,6,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,5,6,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,3,4,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,3,5,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,4,3,5] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,4,5,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,5,3,4] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,1,6,5,4,3] => [7,3,2,6,5,4,1] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => 0

[7,2,3,1,4,5,6] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,1,4,6,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,1,5,4,6] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,2,3,1,5,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,2,3,1,6,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,2,3,1,6,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,2,3,4,1,5,6] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,2,3,4,1,6,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,2,3,4,5,1,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,4,5,6,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,4,6,1,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,4,6,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,2,3,5,1,4,6] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,2,3,5,1,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,2,3,5,4,1,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,5,4,6,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,5,6,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,5,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,6,1,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,2,3,6,1,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,2,3,6,4,1,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,6,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,6,5,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,3,6,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,2,4,1,3,5,6] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,1,3,6,5] => [7,4,5,2,3,6,1] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,1,5,3,6] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,4,1,5,6,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,4,1,6,3,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,4,1,6,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,4,3,1,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,2,4,3,1,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,2,4,3,5,1,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,2,4,3,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,2,4,3,6,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,2,4,3,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,2,4,5,1,3,6] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,5,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,5,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,5,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,5,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,1,3,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,4,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,1,3,4,6] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,1,3,6,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,1,4,3,6] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,1,4,6,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,1,6,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,1,6,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,5,3,1,4,6] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,3,1,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,3,4,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,3,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,3,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,1,3,6] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,1,6,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,5,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,1,3,4,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,1,3,5,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,1,4,3,5] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,1,4,5,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,1,5,3,4] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,1,5,4,3] => [7,4,6,2,5,3,1] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => 0

[7,2,6,3,1,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,3,1,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,3,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,3,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,1,3,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,1,5,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,1,3,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,1,4,3] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,2,6,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,2,4,5,6] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,2,4,6,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,2,5,4,6] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,1,2,5,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,1,2,6,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,1,2,6,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,1,4,2,5,6] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,3,1,4,2,6,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,3,1,4,5,2,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,4,5,6,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,4,6,2,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,4,6,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,1,5,2,4,6] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,1,5,2,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,1,5,4,2,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,5,4,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,5,6,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,5,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,6,2,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,1,6,2,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,1,6,4,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,6,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,6,5,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,1,6,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,1,4,5,6] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,1,4,6,5] => [7,4,3,2,5,6,1] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,1,5,4,6] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,2,1,5,6,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,2,1,6,4,5] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,2,1,6,5,4] => [7,4,3,2,6,5,1] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => 0

[7,3,2,4,1,5,6] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,3,2,4,1,6,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,3,2,4,5,1,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,4,5,6,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,4,6,1,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,4,6,5,1] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,3,2,5,1,4,6] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,2,5,1,6,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,2,5,4,1,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,5,4,6,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,5,6,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,5,6,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,6,1,4,5] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,2,6,1,5,4] => [7,5,3,6,2,4,1] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => 0

[7,3,2,6,4,1,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,6,4,5,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,6,5,1,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,2,6,5,4,1] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,3,4,1,2,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,3,4,1,2,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,3,4,1,5,2,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,1,5,6,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,1,6,2,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,1,6,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,2,1,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,3,4,2,1,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,3,4,2,5,1,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,2,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,2,6,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,2,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,3,4,5,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,5,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,5,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,5,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,4,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,2,4,6] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,2,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,4,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,4,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,6,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,1,4,6] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,1,6,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,4,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,5,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,2,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,2,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,4,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,5,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,1,4,5] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,1,5,4] => [7,5,6,4,2,3,1] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,3,6,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,2,3,5,6] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,4,1,2,3,6,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,4,1,2,5,3,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,2,5,6,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,2,6,3,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,2,6,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,3,2,5,6] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,4,1,3,2,6,5] => [7,5,3,4,2,6,1] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => 0

[7,4,1,3,5,2,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,3,5,6,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,3,6,2,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,3,6,5,2] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,4,1,5,2,3,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,5,2,6,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,5,3,2,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,5,3,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,5,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,5,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,2,3,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,3,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,1,6,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,4,2,1,3,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,2,1,3,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,2,1,5,3,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,1,5,6,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,1,6,3,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,1,6,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,3,1,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,2,3,1,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,2,3,5,1,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,3,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,3,6,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,3,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,2,5,1,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,5,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,5,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,5,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,5,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,5,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,2,6,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,1,2,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,3,1,2,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,3,1,5,2,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,1,5,6,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,1,6,2,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,1,6,5,2] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,2,1,5,6] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,3,2,1,6,5] => [7,5,4,3,2,6,1] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => 0

[7,4,3,2,5,1,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,2,5,6,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,2,6,1,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,2,6,5,1] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,4,3,5,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,5,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,5,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,5,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,5,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,5,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,3,6,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,2,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,2,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,3,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,3,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,1,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,5,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,2,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,3,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,4,6,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,3,4,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,3,6,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,4,3,6] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,4,6,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,6,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,2,6,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,5,1,3,2,4,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,3,2,6,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,3,4,2,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,3,4,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,3,6,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,3,6,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,2,3,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,2,6,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,3,2,6] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,3,6,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,6,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,4,6,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,1,6,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,5,2,1,3,4,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,1,3,6,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,1,4,3,6] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,1,4,6,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,1,6,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,1,6,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,5,2,3,1,4,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,3,1,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,3,4,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,3,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,3,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,3,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,1,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,4,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,2,6,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,2,4,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,2,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,4,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,4,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,6,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,1,6,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,1,4,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,1,6,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,4,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,4,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,6,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,2,6,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,4,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,3,6,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,2,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,2,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,3,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,3,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,6,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,1,6,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,1,3,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,1,6,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,3,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,3,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,6,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,2,6,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,1,2,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,1,6,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,2,1,6] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,2,6,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,6,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,3,6,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,4,6,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,5,6,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,3,4,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,3,5,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,4,3,5] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,4,5,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,5,3,4] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,2,5,4,3] => [7,6,3,4,5,2,1] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => 0

[7,6,1,3,2,4,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,3,2,5,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,3,4,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,3,4,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,3,5,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,3,5,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,2,3,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,2,5,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,3,2,5] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,3,5,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,5,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,4,5,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,2,3,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,2,4,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,3,2,4] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,3,4,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,4,2,3] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,1,5,4,3,2] => [7,6,3,5,4,2,1] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => 0

[7,6,2,1,3,4,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,1,3,5,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,1,4,3,5] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,1,4,5,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,1,5,3,4] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,1,5,4,3] => [7,6,4,3,5,2,1] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => 0

[7,6,2,3,1,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,3,1,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,3,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,3,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,3,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,3,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,4,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,2,5,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,2,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,2,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,4,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,4,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,5,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,1,5,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,1,4,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,1,5,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,4,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,4,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,5,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,2,5,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,4,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,3,5,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,2,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,2,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,3,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,3,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,5,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,1,5,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,1,3,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,1,5,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,3,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,3,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,5,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,2,5,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,1,2,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,1,5,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,2,1,5] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,2,5,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,5,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,3,5,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,4,5,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,2,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,2,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,3,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,3,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,4,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,1,4,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,1,3,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,1,4,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,3,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,3,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,4,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,2,4,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,1,2,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,1,4,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,2,1,4] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,2,4,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,4,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,3,4,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,1,2,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,1,3,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,2,1,3] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,2,3,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,3,1,2] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => 0

[7,6,5,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,4,5,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,4,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,3,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,3,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,3,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,5,3,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,3,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,6,3,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,3,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,3,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,3,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,4,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,3,6,7,2,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,6,7,2,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,6,7,2,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,6,7,2,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,6,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,3,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,2,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,3,2,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,5,2,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,4,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,4,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,2,5,6,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,2,3,5,6,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,2,4,5,6,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,4,5,6,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,3,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,3,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,4,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,4,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,2,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,3,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,6,7,8,1] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,7,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,4,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,6,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,4,5,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,5,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,2,3,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,2,3,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,4,1,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,4,1,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,4,1,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,1,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,3,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,2,3,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,6,2,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,6,2,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,6,2,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,4,5,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,4,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,2,3,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,2,3,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,4,1,5,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,4,1,5,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,3,5,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,2,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,2,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,2,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,2,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,3,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,3,4,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,3,5,1,6,7] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,2,3,4,5,1,6,7] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,4,1,2,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,1,2,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,1,3,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,2,3,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,2,3,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,1,4,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,1,2,4,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,1,3,4,6,7] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,5,1,2,3,4,6,7] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,4,5,6,7] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,4,5,6,7] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,4,5,6,7] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,1,3,4,5,6,7] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,2,3,4,5,6,7] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,5,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,4,7,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,4,7,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,6,7,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,3,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,3,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,4,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,3,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,3,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,4,5,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,3,6,7,2,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,5,6,7,2,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,5,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,6,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,4,7,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,4,7,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,6,7,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,3,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,3,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,3,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,3,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,4,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,2,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,2,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,2,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,2,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,3,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,3,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,4,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,5,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,2,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,2,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,2,4,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,3,4,5,6,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,5,6,7,1,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,4,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,4,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,4,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,6,7,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,3,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,4,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,5,6,7,1,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,5,6,7,1,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,4,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,4,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,6,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,6,7,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,4,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,4,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,4,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,6,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,4,7,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,6,7,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,3,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,2,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,2,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,2,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,2,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,3,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,3,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,4,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,4,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,2,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,2,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,2,4,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,2,4,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,3,4,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,3,4,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,3,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,4,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,2,1,3,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,2,1,4,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,2,1,4,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,3,1,4,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,3,1,4,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,1,2,4,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,1,2,3,4,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,1,2,3,4,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,3,2,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,3,2,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,5,2,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,4,5,2,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,2,3,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,2,4,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,3,4,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,3,4,5,1,6,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,3,1,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,4,1,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,2,1,3,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,1,2,3,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,2,1,4,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,3,1,4,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,1,2,4,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,1,2,3,4,6,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,2,3,4,5,6,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,4,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,7,6,8,2,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,7,6,8,2,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,7,6,8,2,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,7,6,8,2,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,5,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,7,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,7,6,8,3,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,7,6,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,8,6,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,8,7,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,7,8,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,5,8,7,4,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,2,5,6,7,8,4,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,7,6,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,7,8,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,8,7,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,7,8,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,5,8,7,4,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,5,6,8,7,4,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,5,6,7,8,4,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,2,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,2,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,2,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,3,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,3,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,3,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,3,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,5,8,7,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,2,5,7,8,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,2,5,8,7,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,2,5,7,8,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,4,3,5,8,7,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,4,5,7,8,6,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,8,7,6,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,7,8,6,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,5,4,8,7,1] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,3,5,6,4,8,7,1] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,4,3,2,6,8,7,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,5,3,2,6,8,7,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,5,4,3,6,8,7,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,5,3,6,8,7,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,2,4,5,6,8,7,1] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,3,4,5,6,8,7,1] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,7,6,4,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,6,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,6,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,7,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,3,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,5,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,6,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,6,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,4,6,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,4,6,7,2,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,5,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,5,4,6,7,3,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,6,7,3,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,7,6,5,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,7,6,5,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,6,7,5,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,6,4,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,5,4,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,6,4,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,2,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,3,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,3,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,5,6,7,8,1] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[1,8,7,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,7,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,7,6,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,8,7,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,5,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,5,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,6,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,7,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,7,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,7,6,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,8,6,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,6,8,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,6,7,8,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,4,7,8,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,8,7,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,7,8,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,4,7,8,3,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,4,7,8,3,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,4,6,7,8,3,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,6,7,8,3,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,7,6,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,8,6,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,6,8,7,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,6,7,8,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,5,8,7,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,5,7,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,6,5,7,8,4,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,5,6,7,8,4,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,4,3,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,4,6,3,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,5,6,4,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,3,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,4,5,6,7,8,2] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,5,4,8,7,6,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,4,7,8,6,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,5,8,7,6,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,5,7,8,6,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,6,5,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,6,7,5,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,7,6,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,6,5,7,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,6,7,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,7,6,5,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,6,7,5,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,4,6,7,8,3] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,5,6,7,8,3] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[1,2,5,4,8,7,6,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,4,7,8,6,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,5,8,7,6,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,5,7,8,6,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,6,5,4,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,7,6,4,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,6,7,4,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,7,6,5,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,4,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,5,6,7,8,3] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,2,6,5,4,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,2,5,6,4,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,3,6,5,4,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,3,5,6,4,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,4,3,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,5,3,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,5,4,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,3,5,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,4,5,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,5,4,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,4,5,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,3,4,5,6,1,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,7,6,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,5,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,7,5,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,7,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,7,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,5,7,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,6,7,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,7,6,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,7,6,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,6,5,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,7,5,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,7,6,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,6,7,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,6,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,4,6,7,3,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,5,6,7,3,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,4,6,7,5,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,7,6,5,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,6,7,5,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,6,5,4,7,1,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,5,6,4,7,1,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,3,4,6,7,5,2,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,4,6,3,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,4,5,6,3,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,6,5,4,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,5,6,4,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,4,3,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,4,5,6,7,2,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,2,4,5,8,6,7,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,7,5,6,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,4,8,6,7,3] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,4,5,6,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,5,4,6,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,3,6,4,5,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,6,4,5,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,4,5,6,7,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,5,6,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,5,7,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,6,5,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,7,5,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,4,5,6,7,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,5,6,4,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,5,6,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,5,7,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,6,5,4,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,7,5,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,7,6,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,3,5,6,7,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,3,5,7,6,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,5,6,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,5,6,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,6,5,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,6,5,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,7,6,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,4,6,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,4,6,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,4,7,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,4,5,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,4,5,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,5,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,6,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,5,4,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,5,4,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,6,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,4,5,8,6,7,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,4,8,6,7,3] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,4,6,5,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,5,4,6,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,5,6,4,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,3,4,5,8,6,7,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,7,5,6,1,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,7,5,6,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,4,5,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,3,6,4,5,7,8,1] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,4,5,8,7,1] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,3,8,4,5,6,7,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,6,7,5,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,8,5,6,4,7,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,5,6,7,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,5,7,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,6,5,4,7,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,5,8,6,7,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,5,3,4,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,4,6,8,7,1] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,5,3,4,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,4,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,3,4,5,6,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,3,5,4,7,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,3,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,3,5,6,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,4,3,6,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,4,5,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,4,5,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,5,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,5,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,6,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,4,6,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,4,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,4,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,4,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,5,8,6,7,1] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,7,5,6,8,1] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,5,1,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,2,6,4,5,7,1,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,8,4,5,6,7,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,4,6,5,7,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,2,8,5,6,4,7,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,7,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,6,5,7,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,7,5,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,3,5,8,7,6,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,3,4,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,2,3,4,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,4,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,4,6,5,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,3,5,4,6,7,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,5,4,7,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,2,4,3,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,3,6,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,4,5,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,4,5,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,6,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,4,6,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,4,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,5,4,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,4,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,4,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,6,4,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,6,5,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,4,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,3,2,5,4,7,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,2,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,3,4,2,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,2,6,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,3,4,5,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,6,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,4,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,4,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,5,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,5,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,2,6,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,4,3,5,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,6,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,4,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,5,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,1,3,5,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,1,4,6,7,3,8,5] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,6,7,3,8,5] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,6,1,7,3,8,5] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,4,6,7,1,3,8,5] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,8,1,3,5] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,7,8,3,5,6] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,7,8,3,5,6] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,7,1,8,3,5,6] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,4,5,1,7,3,8,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,4,5,7,1,3,8,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,4,5,1,7,8,3,6] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,1,8,3,6,7] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,4,5,8,1,3,6,7] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,4,5,1,6,3,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,4,1,5,6,7,8,3] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,5,1,6,7,8,3] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,6,7,1,8,3] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,1,3,4,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,5,6,1,3,8,4,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,1,5,6,8,3,4,7] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,6,8,3,4,7] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,5,3,6,7,8,4] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,3,6,7,8,4] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,6,1,3,7,8,4] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,6,7,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,6,7,3,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,5,7,3,4,8,6] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,7,3,4,8,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,7,1,3,4,8,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,1,5,7,8,3,4,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,7,8,3,4,6] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,7,1,8,3,4,6] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,5,7,1,8,4,6] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,1,5,8,3,4,6,7] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,1,8,3,4,6,7] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,8,1,3,4,6,7] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,5,6,1,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[2,3,5,6,8,1,4,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,3,5,6,1,7,4,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,5,1,6,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,5,6,7,8,1,4] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,7,3,4,8,5] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,1,7,3,4,8,5] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,6,7,1,3,4,8,5] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,1,6,3,7,8,4,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,1,3,7,8,4,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,6,7,1,8,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,1,6,3,4,7,8,5] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,1,3,4,7,8,5] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,3,6,1,4,7,8,5] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,6,8,1,4,5,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,3,4,6,7,1,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,6,1,7,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,1,7,3,8,4,5,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,7,1,3,8,4,5,6] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,7,3,4,5,8,6] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,7,1,3,4,5,8,6] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,3,7,1,4,5,8,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,4,7,1,5,8,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,3,4,7,8,1,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,7,1,8,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,3,4,5,7,8,1,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,4,5,6,7] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,8,1,3,4,5,6,7] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,3,8,1,4,5,6,7] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,4,8,1,5,6,7] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,3,4,5,8,1,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,3,4,5,6,8,1,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[3,4,6,1,2,5,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,4,6,7,1,2,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,1,4,6,2,7,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,4,6,7,1,2,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,7,2,5,8,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,1,4,5,7,2,8,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,1,4,5,7,8,2,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,5,7,8,2,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,5,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,7,1,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,7,8,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,1,4,8,2,5,6,7] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,1,4,5,8,2,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,1,4,5,6,2,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,4,5,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,1,4,5,6,8,2,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[3,4,5,6,8,1,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,5,6,7,2,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,1,4,5,6,7,8,2] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,5,6,7,8,2] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,5,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,2,6,4,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,5,6,1,2,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,1,5,6,2,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[3,5,6,1,2,8,4,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[3,1,5,6,8,2,4,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,5,6,1,8,2,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[3,1,5,2,6,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,5,1,2,6,7,8,4] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,2,7,8,4] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,6,7,2,8,4] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,7,2,8,4] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[3,1,5,6,7,8,2,4] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,7,8,2,4] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,1,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,5,6,7,8,1,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,2,7,4,8,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,5,1,7,2,4,8,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,5,7,1,2,4,8,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,2,7,8,4,6] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,7,2,8,4,6] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,5,7,1,2,4,6,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,3,5,7,8,2,4,6] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,1,2,8,4,6,7] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,5,1,8,2,4,6,7] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,3,5,6,2,7,4,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,5,6,2,7,8,4] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,5,6,7,8,2,4] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,1,7,8,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,1,6,2,4,7,8,5] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,6,1,2,4,7,8,5] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,2,8,4,5,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,8,2,4,5,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,6,1,2,4,5,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[1,3,4,6,7,2,5,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[3,1,7,2,4,5,8,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,7,1,2,4,5,8,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,4,7,8,2,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,4,5,7,8,2,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,8,2,4,5,6,7] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,8,1,2,4,5,6,7] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,2,6,3,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,1,5,6,2,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,5,1,2,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,1,5,6,2,8,3,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[4,5,1,6,8,2,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,1,8,2,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,1,6,7,2,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,1,2,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,6,7,2,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,6,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,7,8,2,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,1,2,3,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,2,7,8,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,7,2,8,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,7,8,2,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,1,2,5,7,3,8,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,4,5,7,2,3,8,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,2,5,7,8,3,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,5,7,8,3,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,8,1,2,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,5,8,3,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,4,5,8,2,3,6,7] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,2,5,6,3,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,1,2,5,6,8,3,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,1,2,5,6,7,3,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,4,2,5,6,7,3,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,4,5,6,2,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,1,2,5,6,7,8,3] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,5,6,7,8,3] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,6,2,7,8,3] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,6,7,8,2,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,6,7,2,3,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,7,2,8,3,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,7,1,2,8,3,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,6,1,7,8,2,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,7,1,8,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,2,3,7,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,2,6,7,3,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,4,2,6,7,3,5,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,1,2,6,3,7,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,4,6,2,3,7,8,5] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,6,2,7,8,3,5] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,6,2,8,3,5,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[4,6,8,1,2,3,5,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,2,3,8,5,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[1,4,6,8,2,3,5,7] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,1,2,8,3,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,2,3,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,1,7,2,3,8,5,6] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,2,7,8,3,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,7,8,3,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,2,7,3,5,8,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,4,7,2,3,5,8,6] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,4,7,8,3,5,6] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,1,7,2,3,5,6,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,4,7,2,3,5,6,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,1,2,8,3,5,6,7] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,4,8,2,3,5,6,7] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,1,2,7,3,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,2,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,2,7,8,3,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,7,2,8,3,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,8,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,2,7,3,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,6,2,3,7,4,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,2,6,7,3,4,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,2,6,7,3,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,1,6,2,3,7,8,4] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,2,3,7,8,4] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,2,6,7,3,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,2,7,8,3,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,7,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,1,2,8,3,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,8,2,3,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,1,6,2,3,8,4,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[5,1,6,2,3,4,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,1,2,3,6,8,4,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[1,2,5,6,8,3,4,7] => [1,2,7,6,8,4,3,5] => [1,2,7,8,6,4,5,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,1,2,3,6,7,4,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,2,3,6,7,4,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,1,2,3,6,7,8,4] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,3,6,7,8,4] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,5,3,6,7,8,4] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,6,7,3,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,7,1,2,8,3,4,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,8,2,3,4,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,7,8,1,2,3,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,2,3,8,4,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,2,3,8,4,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,1,2,3,4,8,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,7,4,8,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[5,1,2,3,7,8,4,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,3,7,8,4,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,5,7,8,3,4,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,1,2,7,3,4,6,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,2,7,3,4,6,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,8,1,2,3,4,6,7] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,8,4,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[6,1,7,2,8,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,7,8,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,2,3,8,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,2,3,8,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,1,2,3,4,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,7,3,4,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,7,3,4,8,5] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,1,2,3,7,8,4,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,3,7,8,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,1,2,7,3,4,5,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,2,7,3,4,5,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,1,2,3,4,7,5,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,2,3,4,7,5,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,1,2,3,4,7,8,5] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,3,4,7,8,5] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,6,3,4,7,8,5] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,1,8,2,3,4,5,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,2,3,4,5,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,2,3,8,4,5,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,3,8,4,5,7] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,2,3,4,8,5,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[6,1,2,3,4,5,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,1,8,2,3,4,5,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,2,3,4,5,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,2,3,8,4,5,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,3,8,4,5,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,1,2,3,4,8,5,6] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,1,2,3,4,5,8,6] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,3,4,5,8,6] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,3,4,5,8,6] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,2,3,4,5,6,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,8,2,3,4,5,6,7] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,8,3,4,5,6,7] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,3,2,5,4,8,1,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,1,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,5,1,3,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,8,1,5,4,7,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,6,8,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,6,1,8,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,8,1,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,7,1,8,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,8,7,2,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,6,8,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,6,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,8,6,5,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,8,7,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,2,4,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,7,1,2,3,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,1,2,3,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,1,2,3,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,8,1,4,5,6,7] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[5,4,8,1,2,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,3,4,5,6] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,2,3,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,3,5,6,7] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,2,4,6,7] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,2,3,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,1,3,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,6,7,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,5,7,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,4,6,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,6,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,6,8,1,4,5,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[5,7,2,6,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,6,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,5,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,2,7,1,3,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,3,7,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,2,7,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,7,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,5,1,3,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,6,1,3,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,6,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,6,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,6,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,5,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,2,8,1,4,5,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,1,3,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,2,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,2,5,8,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,4,8,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,6,8,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,7,3,6,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,6,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,4,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,5,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,5,7,1,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,2,5,7,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,7,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,7,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,6,7,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,3,2,6,8,1,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,6,8,1,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,6,8,1,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,5,8,1,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,2,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,2,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,3,2,7,8,1,4,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,4,2,7,8,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,4,3,7,8,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,4,2,7,8,1,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,8,1,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,5,8,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,8,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,8,1,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,7,1,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,7,1,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,2,6,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,7,2,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,7,2,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,2,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,3,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,2,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,2,6,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,2,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,2,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,4,2,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,4,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,3,2,8,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,8,1,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,8,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,6,1,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,6,1,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,5,1,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,7,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,7,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,5,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,6,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,8,2,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,4,7,5,6] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,2,3,6,4,5,7] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,7,4,5,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,8,7,4,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,6,7,4,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,5,3,4,6,7] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,5,3,4,8,6] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,3,4,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,8,6,3,5,7] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,8,7,3,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,5,6,3,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,5,8,7,3,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,3,5,6,7] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,2,3,5,8,6] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,3,8,5,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,4,2,3,7,5,6] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,4,2,3,7,8,5] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,3,4,5,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,3,8,4,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,5,2,3,7,4,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,3,7,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,3,7,8,4] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,6,3,5,7] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,4,2,7,3,5,6] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,5,2,6,3,4,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,2,7,3,4,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,6,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,4,2,6,7,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,2,6,7,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,5,2,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,6,5,2,3,4,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,2,3,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,5,2,8,3,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,4,6,2,7,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,2,7,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,5,2,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,8,6,2,5,7] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,8,7,2,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,5,6,2,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,6,2,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,7,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,6,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,5,8,7,2,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,6,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,6,4,5,7] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,8,1,3,7,4,5,6] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,8,1,3,6,7,4,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,8,1,5,3,4,6,7] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,1,5,3,4,8,6] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,1,6,3,4,8,5] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,1,8,6,3,5,7] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,1,8,7,3,5,6] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,1,7,6,3,8,5] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,1,5,6,3,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,1,8,6,7,3,5] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[7,3,1,2,4,5,8,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,4,8,5,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[8,3,1,2,4,7,5,6] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,3,1,2,4,7,8,5] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,6,4,5,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,7,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,2,6,8,4,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,3,1,2,8,7,4,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,6,7,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,2,6,7,8,4] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,2,3,4,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,2,6,3,5,7] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,2,7,3,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,2,6,3,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,2,6,3,4,7] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,2,7,3,4,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,2,6,3,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,2,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,4,1,2,8,7,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,2,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,5,2,3,4,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,4,1,5,2,7,3,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,1,8,6,2,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,8,7,2,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,5,8,7,2,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,8,6,7,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,5,6,7,8,2] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[2,8,4,1,3,5,6,7] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,1,3,5,8,6] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,1,3,8,5,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,8,4,1,3,7,5,6] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,6,4,1,3,7,8,5] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,1,3,4,6,7] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,7,5,1,3,4,8,6] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,6,5,1,3,8,4,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,6,5,1,3,7,8,4] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,1,8,3,6,7] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,5,4,1,7,3,8,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,7,4,1,6,3,8,5] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,8,5,1,6,3,4,7] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,5,1,7,3,4,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,8,1,6,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,5,1,6,3,8,4] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,5,4,1,8,7,3,6] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,1,6,7,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,5,1,6,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,4,1,6,7,8,3] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,2,4,8,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,2,4,8,5] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,2,3,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,2,3,5,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,2,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,2,3,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,1,2,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,2,7,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,2,7,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,1,6,2,5,7] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,3,4,1,7,2,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,4,1,6,2,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,5,1,6,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,6,2,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,7,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,6,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,6,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,1,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,3,4,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,6,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,6,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,5,1,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[2,6,4,5,1,8,3,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,6,4,5,1,7,8,3] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,1,2,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,6,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,5,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,8,6,1,5,7] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,8,7,1,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,5,6,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,7,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,8,7,1,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,5,6,7,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,7,4,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,7,4,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,8,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,7,8,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,7,1,8,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,8,1,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,8,3,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,7,8,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,6,2,7,8,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,6,2,7,8,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,6,2,7,8,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,7,2,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,7,8,2,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,6,7,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,7,8,5,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,7,1,8,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,6,1,8,7,4] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,2,5,6,8,1,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,2,5,4,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[7,8,1,3,2,5,4,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,7,2,6,4,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,4,1,8,7,2,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,4,8,1,7,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,8,2,7,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,3,4,7,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,7,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,8,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,8,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,2,8,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,5,1,2,8,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,5,1,2,7,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,4,1,2,7,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,8,4,1,7,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,6,7,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,7,1,6,8,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,7,6,1,8,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,8,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,8,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,7,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,7,2,8,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,6,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,6,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,8,7,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,6,8,1,7,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,6,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,8,6,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,8,1,7,6,2,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,7,1,6,2,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,6,7,1,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,6,7,1,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,2,6,8,1,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,8,6,1,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,2,8,1,6,4,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,1,5,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,1,4,8,5] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,8,7,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,2,8,1,7,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,6,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,7,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,4,7,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,1,3,2,6,5,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,3,7,5,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,2,3,7,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,8,1,3,7,5,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,8,7,1,6,3] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,4,8,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,8,7,1,6,3] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,1,4,2,5,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,1,6,2,5,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,2,5,1,4,3,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,2,6,1,4,3,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,2,8,1,4,3,7,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,6,1,4,3,7,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,4,3,8,2,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,4,3,7,2,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,5,3,7,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,3,8,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,5,3,7,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,2,6,3,7,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,1,8,3,6,4,7,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[6,2,8,1,5,3,7,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,2,6,3,7,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,4,2,6,3,7,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,4,2,8,3,7,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,1,6,3,8,4,7,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[5,1,6,2,8,3,7,4] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,5,2,8,3,7,4] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,8,3,7,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,4,7,3,6,5] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,4,8,3,6,5] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[5,1,7,3,8,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,2,5,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,8,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,1,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,3,1,6,8,2,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,3,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[7,4,5,3,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,3,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,8,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,5,8,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,7,4,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,7,3,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,8,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,4,8,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,1,7,3,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,7,3,1,8,2,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,8,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,1,4,6,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,8,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,2,7,8,4,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,7,2,8,4,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,1,8,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,5,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,6,3,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,3,6,4,7] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,6,3,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,7,1,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,7,8,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,7,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,6,7,8,4,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,1,7,8,5,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,6,7,8,2,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,7,8,2,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,7,8,2,4,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,5,2,7,8,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,6,2,7,4,8,5,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,2,1,5,8,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,4,2,5,8,6] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,2,1,3,5,8,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,7,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,1,3,8,5,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,7,8,4,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,7,8,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,3,7,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,2,7,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,2,6,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,2,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,5,4,8,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,6,2,4,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,5,4,2,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,1,5,4,8,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,4,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,4,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,2,8,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,7,1,2,4,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,4,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,4,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,7,1,3,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,3,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,3,8,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,3,1,8,2,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,5,8,3,7,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,2,1,3,8,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,7,2,1,8,3,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[1,6,8,7,3,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,5,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,2,7,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,7,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,5,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,5,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,4,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,4,1,8,2,3,5,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,4,1,2,8,3,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,2,8,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,5,3,8,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,3,7,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,5,2,7,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,4,1,2,7,3,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,6,8,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,2,8,3,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,2,3,5,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,1,7,2,3,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,1,2,7,3,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,2,7,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,5,8,3,7,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,7,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,7,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,2,3,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,2,3,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,2,3,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,2,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,8,6,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,3,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,7,6,2,4,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,2,5,1,6,3,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,3,5,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,3,6,5,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,4,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,1,7,4,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,1,6,4,7,5,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,6,4,7,3,8,5] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[5,3,6,1,7,2,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,2,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,2,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,6,3,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,6,3,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,5,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,6,4,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,6,4,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,2,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,2,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,1,6,5,7,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[5,4,6,1,7,3,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,2,4,5,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,4,3,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,7,4,8,6,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,5,8,6,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,4,7,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,6,5,8,2,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,7,6,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,2,6,1,4,7,8,5] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[4,7,3,2,1,5,8,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,3,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,7,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,8,1,6,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,4,5,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,1,7,4,2,6,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,4,5,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,7,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,7,6,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,3,5,6,7,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,5,6,7,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,5,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,5,6,7,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,5,6,7,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,1,2,3,5,6,7,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,4,1,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,5,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,4,2,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,6,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,4,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,4,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,1,4,2,5,6,7,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,1,5,6,7,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,1,5,3,8,6,7,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[6,4,3,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,5,4,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,4,8,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,4,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,3,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,2,1,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,1,6,4,3,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[4,3,6,2,8,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,7,6,2,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,1,7,2,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,3,5,8,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,8,6,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,5,3,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,5,3,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,6,3,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,4,8,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,5,3,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,6,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,1,7,3,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,8,6,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,2,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,4,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,5,7,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,6,8,1,7,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,8,2,7,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,1,8,6,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,7,2,8,5,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,8,3,1,6,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,6,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,7,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,6,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,2,6,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,2,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,5,2,8,3,4,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,7,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,2,1,8,3,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,4,2,1,7,3,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,4,2,8,7,3,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,2,1,3,8,5,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,7,2,1,8,3,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[1,6,8,7,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,2,1,7,3,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,1,8,7,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,2,3,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,2,3,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,1,4,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,1,4,7,2,6,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,8,2,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,5,4,6,7,1,8,3] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,8,5,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,3,1,2,5,7,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,2,6,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,6,5,7,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,1,6,4,5,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,5,3,6,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[6,7,3,5,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,1,6,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[4,6,1,2,8,7,3,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,1,5,8,7,6,3] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,1,2,5,8,6,7,3] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,6,1,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,4,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,5,6,8,7,2] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,1,6,5,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,7,2,3,4,1,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,3,8,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,3,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,3,5,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,7,6,3,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,2,5,7,1,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,3,8,7,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[7,5,2,4,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,8,5,4,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,3,7,2,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,3,5,1,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,8,1,3,4,5,7,6] => [3,8,1,4,5,6,7,2] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,8,4,1,6,5,3,7] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,4,1,6,5,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,5,7,6,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,2,4,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,5,3,4,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,8,5,3,4,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,5,2,7,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,6,2,1,8,7,4] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,7,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,4,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,4,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,8,7,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,4,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,6,8,7,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,6,5,7,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,4,8,6,2,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,5,8,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,7,3,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,2,8,1,7,4] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[7,1,6,5,8,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,7,8,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,5,6,8,7,3] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,3,1,4,7,2,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,4,1,2,3,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,6,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,8,6,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,5,7,3,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,7,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,8,6,2,7,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,5,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,3,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,2,4,1,8,3,7,5] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,3,4,5,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,7,2,4,1,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,2,1,5,6,3,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,7,8,2,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,5,3,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,5,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,2,7,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,1,3,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,2,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,3,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,7,6,1,4,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,8,6,2,4,7,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,5,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,4,8,1,3,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,1,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,4,6,3,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,7,8,2,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,3,7,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,6,2,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,8,7,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,4,5,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,4,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,3,6,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,3,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,3,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,5,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,3,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,2,8,4,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,8,6,3,7,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,5,7,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,2,5,7,1,8,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,1,8,3,4,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,6,1,7,3,4,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,4,1,3,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,3,5,1,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,3,2,8,7,1,4,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,1,8,7,2,4,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,1,8,3,7,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,2,4,6,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,8,7,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,6,2,8,7,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,7,8,3,6,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,3,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,3,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,7,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,6,2,4,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,2,6,5,7] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,4,3,2,7,5,6] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,4,3,2,7,6,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,5,4,6,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,6,2,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,2,6,7,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,4,3,2,5,7,6] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,2,5,6,7] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,4,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,1,7,2,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,3,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,3,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,8,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,3,7,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,2,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,1,8,3,2,4,5,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,7,2,5,3,4,6,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,6,3,4,5,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,2,7,3,6,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,6,2,7,3,5,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,6,3,5,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,5,3,6,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,3,4,6,5,8] => [1,7,3,4,5,6,2,8] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,6,3,7,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,3,7,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,2,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,7,2,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,8,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,5,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,5,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,5,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,4,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,5,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,5,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,4,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,3,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,4,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,8,1,2,3,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,5,3,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,8,4,3,5,6,1,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,8,5,1,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,3,7,5,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,5,1,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,7,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,7,4,6,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[7,1,3,8,4,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,8,6,1,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,3,5,8,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,5,4,6,2,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,2,4,7,1,8,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,6,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,1,5,8,4,7,3] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,6,5,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,6,3,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,4,5,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,3,2,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,2,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,6,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,1,5,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,5,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,6,4,3,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,7,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,5,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,1,3,7,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,3,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,6,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,7,6,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,5,7,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,7,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,5,6,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,1,7,2,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,5,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,6,2,7,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,3,2,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,8,4,7,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,2,1,6,8,7,3,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,6,1,8,7,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,8,5,7,6,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,5,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,6,1,8,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,7,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,1,7,5,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,5,2,6,8,4,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,6,1,8,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,5,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,7,5,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,7,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,1,6,7,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,6,1,7,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[4,7,1,6,5,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,2,7,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,1,5,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,1,6,5,8,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,2,5,8,3,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,6,4,8,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,5,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,5,7,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,2,6,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,2,5,7,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,5,7,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,2,3,5,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,3,5,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,4,2,6,7,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,7,8,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,4,5,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,4,1,5,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,2,4,5,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,8,4,5,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,5,2,4,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,1,3,7,5,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,2,1,8,3,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,5,6,7,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,3,1,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,6,7,2,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,2,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,8,1,2,7,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,5,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,8,6,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,8,2,3,6,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,3,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,3,4,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,7,1,2,3,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,2,7,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,3,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,5,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,6,1,2,4,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,4,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,4,3,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,7,1,3,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,7,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,7,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,1,7,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,3,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,5,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,6,1,3,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,7,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,7,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,3,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,2,3,7,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,6,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,5,4,7,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,5,4,7,2,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,5,4,7,1,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,8,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,8,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,1,8,7,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,2,8,4,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,2,8,5,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,2,8,6,4,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,4,8,2,5,6] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[7,1,5,6,8,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,1,8,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,5,7,3,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,2,4,1,8,5,7,3] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,2,5,1,8,4,7,3] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[1,6,2,4,7,3,5,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,2,1,3,8,7,4,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,6,7,1,4,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,1,4,6,8,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,1,6,4,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,4,5,2,3,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,2,4,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,1,6,3,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,1,6,3,5,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,2,7,3,4,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,3,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,1,5,2,8,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,1,7,4,5,3,8,6] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[3,1,8,6,7,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,6,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,7,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,7,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,5,7,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,4,6,3,8,5] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[6,2,7,3,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,2,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,8,5,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,1,8,6,7,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,3,8,5,7,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[4,1,6,2,8,5,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,6,2,8,4,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,2,7,3,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,6,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,6,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,6,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,4,8,5,6,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,7,3,8,5,6,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,4,5,1,7,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,2,5,7,3,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,5,1,4,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,8,3,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,8,5,3,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,4,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,1,3,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,4,5,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[1,6,7,5,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,7,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,7,8,2,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,6,8,4,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,8,4,5,3,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[4,3,8,5,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,4,5,6,1,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,1,3,4,8,2,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[7,3,6,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,4,8,3,5,6] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[5,6,2,7,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,1,5,2,8,3,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,2,4,8,3,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,5,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,3,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,1,2,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,4,2,5,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[7,4,2,6,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,3,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,7,2,3,8,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,2,3,6,7,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,3,7,4,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,5,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,6,8,4,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,6,8,5,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,1,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,5,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,6,7,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,8,6,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,7,8,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,8,1,2,7,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,2,3,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,2,6,8,7,3] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,6,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,2,7,8,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,1,4,7,5,6,2,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,1,4,5,8,6,7,2] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,3,1,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,3,7,4,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,1,7,8,3,4,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,7,2,3,6,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,6,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,8,1,7,3,5,6] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[8,4,1,3,6,2,5,7] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,1,7,2,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[5,7,4,1,6,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,8,4,2,7,3,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,6,3,7,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,2,5,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,4,6,2,5,7] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[3,8,2,4,6,7,1,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,6,8,1,7,3] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,2,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,1,7,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,7,6,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,4,6,2,5,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,2,5,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,7,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,8,3,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,6,5,4,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,6,5,4,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,6,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,3,8,1,7,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,7,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,2,4,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,2,4,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,7,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,2,6,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,7,2,5,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,3,1,2,6,5,4,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,7,6,4,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,8,1,3,7,5,4,6] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,2,1,3,6,5,4,7] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,2,3,6,5,4,7] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,7,6,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,5,1,8,2,4,7,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,1,6,5,8,2,4,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[7,2,5,1,8,3,4,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,2,5,3,8,7,6,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,6,5,3,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,1,2,8,6,3,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,8,7,3,6,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,3,1,7,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,2,7,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,6,3,8,7,5,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,3,8,6,5,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,1,8,7,6,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,3,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,5,3,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,4,5,3,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,6,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,3,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,5,7,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,6,2,4,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,4,1,5,2,6,3,7] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,6,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,6,5,8,3,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,3,8,5,7,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,6,1,8,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,6,1,7,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,8,1,4,5,7,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,8,6,1,4,3,5,7] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,5,2,7,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,3,7,6,2,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,6,5,2,3,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,7,4,5,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,1,7,2,6,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,6,4,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,2,4,7,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,3,2,7,4,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,7,1,3,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,4,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,4,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,4,2,7,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,1,2,4,5,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,1,2,5,4,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,2,1,3,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,1,4,5,7,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[7,1,2,3,4,6,5,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,2,3,4,5,7,6] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,5,7,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,2,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,5,6,1,8,7,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,4,2,6,8,5,7,3] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,3,1,5,6,4,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,2,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,3,4,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,3,4,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,2,3,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,5,7,8,6,2] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,2,3,4,5,7,6] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,6,1,4,8,7,3] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,7,4,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,8,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,4,2,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,7,3,2,8,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,8,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,4,8,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,4,8,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,4,8,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,4,8,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,8,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,4,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,8,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,4,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,4,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,1,8,4,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,7,2,8,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,5,7,3,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,3,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,5,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,8,5,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,5,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,4,7,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,4,7,1,8,6,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,8,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,4,8,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,5,3,6,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,3,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,4,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,6,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,4,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,5,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,7,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,8,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,1,8,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,8,6,2,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,7,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,7,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,6,1,7,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,3,7,2,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,6,8,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,5,8,4,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,7,3,1,8,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,8,4,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,6,1,8,4,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,6,1,7,3,5,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,4,2,7,1,8,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,7,5,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,7,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,7,4,5,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,5,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,5,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,3,7,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,6,8,7,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,5,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,4,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,1,8,5,6,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,2,8,5,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,3,8,5,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,7,4,8,5,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,8,5,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,2,7,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,8,4,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,7,3,6,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,3,8,4,6,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,2,8,4,6,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,1,8,4,6,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,4,7,3,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,3,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,3,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,6,2,7,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,7,4,6,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,3,7,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,3,7,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,3,6,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,6,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,7,3,6,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,5,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,4,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,4,2,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,3,5,2,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,3,5,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,3,7,2,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,8,2,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,2,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,3,4,2,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,3,4,2,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,3,5,2,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,5,3,8,2,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,1,8,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,6,8,1,7,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,6,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,8,7,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,1,6,7,5,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,1,6,8,2,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,7,6,2,8,1,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,7,4,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,4,3,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,8,3,4,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,4,5,6,7,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,4,5,6,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[8,5,2,1,4,3,7,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,8,1,6,3,2,4,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,1,2,3,8,5,7,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,3,8,6,4,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,8,1,6,3,2,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,1,6,7,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,6,4,7,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[6,8,2,3,4,1,5,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,2,4,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,4,7,5,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[7,2,3,1,8,5,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,7,3,4,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,1,3,7,8,4,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[7,6,4,2,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,1,6,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,4,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,2,3,5,6,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,8,4,1,3,2,5,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,3,2,5,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,3,2,6,4,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,7,3,1,2,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,8,2,4,6,3,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,1,6,7,2,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,6,3,2,4,1,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,6,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,6,8,1,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,6,7,1,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,4,5,8,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,6,3,4,8,5] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[1,4,7,2,6,8,3,5] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,3,2,5,8,6] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,4,2,5,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,2,7,8,3,6,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,2,6,8,3,7,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,4,7,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,3,7,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,4,2,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,8,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,6,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,6,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,5,4,2,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,2,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,3,8,5,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,1,3,7,8,5] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,1,3,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,6,7,2,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,2,4,8,5,1,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,1,3,7,8,4] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,2,7,1,8,4] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[3,5,6,2,7,8,1,4] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,2,8,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,8,4,6,3,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,6,3,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,6,2,8,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,5,6,7,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,7,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,6,7,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,1,8,7,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,1,6,8,7,3,5] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,1,6,7,4,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[3,5,6,1,7,4,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,4,6,1,8,7,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,4,6,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,7,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,6,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,7,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,6,7,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,6,7,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,7,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,4,3,7,1,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,8,2,4,3,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,8,2,4,7,1,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,2,4,7,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,5,8,2,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,3,2,4,6,1,5,7] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,4,6,1,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,3,2,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,7,8,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,8,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,7,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,8,7,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,1,6,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[6,5,1,8,4,2,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,2,6,1,8,3,7,4] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,4,6,1,7,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,1,8,4,7,3] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,6,1,8,5,7,3] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,5,6,1,7,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,6,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,1,7,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,6,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,3,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,6,8,1,7,3] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,1,8,5,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,1,7,5,3,8,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,6,4,1,8,5,3,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[3,2,5,6,1,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,8,3,2,6,1,5,7] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,3,8,2,6,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,2,6,1,7,8,5,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,4,7,8,5] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,1,7,8,4,6] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,2,1,7,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,6,2,1,8,3,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,8,3,2,7,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,8,3,2,1,5,6,7] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,5,4,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,4,5,2,3,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,3,4,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,4,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,1,5,3,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,3,5,2,4,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,4,2,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,3,2,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,4,5,3,7,6] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[8,6,7,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,6,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,6,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,6,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,4,2,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,6,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,2,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,3,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,6,3,5,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,4,3,6,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,1,8,3,7,4,6,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,2,7,1,4,3,6,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,3,1,7,4,6,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,7,5,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,5,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,7,5,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,1,7,5,6,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,6,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,7,1,6,4,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,4,7,1,6,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,6,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,6,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,6,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,6,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,6,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,3,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,8,4,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,8,2,4,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,8,2,4,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,8,4,6,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,3,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,8,3,6,5,1,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,1,8,3,5,6,2,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,8,5,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,3,8,4,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,5,1,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,8,3,4,5,1,6,7] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,5,3,4,7,6] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,2,8,4,5,3,7,6] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,8,5,4,3,6,7] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,4,8,7,5,3,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,6,1,4,2,8,3,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,2,8,4,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,7,1,4,2,8,3,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,2,8,3,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,3,5,8,4,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,8,1,3,7,2,4,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,2,5,8,7,3,4,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,6,1,3,2,4,7,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,1,4,7,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,7,4,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,1,7,6,3,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,7,3,4,1,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,3,4,1,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,3,4,1,6,2,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,7,3,4,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,4,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,2,7,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,5,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,3,5,1,6,2,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,3,5,1,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,3,5,1,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,5,1,8,3,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,7,3,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,7,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,5,1,8,3,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,3,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,1,5,6,7,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,5,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,5,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,5,6,7,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,5,6,7,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,1,6,2,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,3,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,3,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,3,5,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,7,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,7,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,1,8,6,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,7,4,5,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,2,6,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,7,1,2,6,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,7,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,1,2,7,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,1,3,7,6,5,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,2,8,3,7,6,5,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,1,8,3,7,6,5,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[4,1,8,7,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,2,6,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,2,6,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,7,6,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,1,2,3,7,6,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,5,8,2,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,6,5,1,8,2,7,4] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,1,4,5,7,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,8,2,7,4] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,4,6,1,2,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,3,6,1,2,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,3,6,1,8,2,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,5,1,8,3,7,4] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,6,1,3,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,2,4,1,3,8,7,5] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,3,4,2,7,6,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,6,3,1,2,8,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,6,4,1,2,8,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,6,4,1,3,8,7,5] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,6,7,2,3,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,1,8,3,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,2,1,8,3,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,5,2,7,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,4,2,3,7,6,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,3,2,1,4,8,7,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,1,2,4,8,6,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,2,3,4,7,6,5] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,2,3,1,4,8,7,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,6,3,5,8,7,1] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,6,3,5,8,1,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,6,3,5,1,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,4,6,3,1,5,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,4,6,1,5,3,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,2,6,5,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,5,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,6,1,5,8,3,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,6,1,5,8,7,3] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,2,6,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,1,6,8,5,7,3] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,4,6,8,5,7,3] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,4,6,8,5,3,7] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,6,8,5,3,7] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,6,1,8,5,3,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[2,4,6,3,1,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,6,3,8,1,5,7] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,4,6,3,8,5,7,1] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,4,3,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,4,3,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[2,4,3,6,8,1,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,4,6,3,1,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,1,4,6,8,3,7,5] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,6,8,3,7,5] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,6,1,8,3,7,5] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,6,4,1,8,7,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,4,1,8,7,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,3,7,4,5,8,2,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,3,7,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,3,8,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,3,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[4,3,6,1,5,8,2,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,6,4,8,7,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,2,8,7,1,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,4,8,7,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,3,2,1,6,4,5,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,5,6,4,7] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,4,6,5,7] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,2,1,4,5,7,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,1,4,5,8,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,1,4,6,8,5] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[4,8,2,5,1,7,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,2,5,1,8,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,2,7,6,1,3,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,1,3,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,2,7,8,5,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,8,5,4,2,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,2,8,7,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,8,3,1,4,2,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,5,4,1,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,6,4,3,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,4,6,1,5,8,2,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[7,8,4,1,5,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,6,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,5,7,3,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,6,8,7,4,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,4,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,7,5,6,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[3,1,6,7,5,8,2,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,1,2,5,7,3,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,1,5,7,2,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,6,3,7,8,2,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,7,3,8,2,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,1,7,5,2,3,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,1,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,4,7,8,2,5] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,4,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,4,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,8,4,3,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,5,7,1,4,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,8,1,4,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,4,3,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,5,1,3,8,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,1,3,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,8,5,1,4,3,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,4,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,6,2,8,1,5,7] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[4,2,8,5,1,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,5,8,3,7,4] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,6,7,4,8,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,3,2,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,1,7,8,5,3,6] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,4,1,6,3,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,6,4,3,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,1,6,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,1,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,7,2,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,7,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,1,3,7,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,1,7,8,3,6,5] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[3,7,2,8,6,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,3,8,2,1,4,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,1,4,7,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,6,2,8,3,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,6,2,8,4,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,8,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,8,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,5,4,8,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,4,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,5,4,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,3,5,6,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,6,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,6,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,5,8,3,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,6,3,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,5,8,3,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,4,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,8,7,1,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,3,5,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,5,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,3,4,8,1,5,7,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,8,6,7,2,5,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,7,2,6,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,4,7,2,6,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,7,5,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,7,5,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,1,7,5,6,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,1,7,4,6,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,3,7,4,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,2,7,4,6,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,2,7,5,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,8,3,7,5,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,8,3,7,4,6,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,1,8,4,5,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,3,8,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,3,5,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,3,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,1,4,8,5,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,3,6,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,7,8,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,2,4,8,6,1,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,8,2,3,6,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,8,2,3,5,7,1,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,3,6,7,2,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,4,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,2,8,7,4] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,7,1,8,6,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,2,8,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[3,4,5,8,2,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,2,8,1,5,7] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,5,2,6,8,1,7,4] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,5,4,8,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,5,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,5,4,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[5,7,1,8,4,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,1,5,4,3,8,6] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,4,6,1,7,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,4,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,1,4,3,8,5] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[4,7,6,2,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,4,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,1,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,4,7,2,5,8,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,5,3,1,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,6,2,5,8,1,7,4] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,2,4,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,3,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,6,5,7,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,6,3,8,5,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,4,1,7,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,6,3,4,8,7,1,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,7,8,1,5] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,3,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,8,5,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,6,5,1,2,4,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,2,6,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,2,5,6,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,1,8,6,2,7,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,6,8,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,7,8,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,5,4,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,3,4,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,2,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,7,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,6,3,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,1,4,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,1,5,6,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[5,7,6,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,1,5,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,5,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,1,6,5,7,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,1,3,5,7,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,4,3,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,3,5,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,4,5,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,4,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,2,5,8,3,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,7,5,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,5,1,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,8,3,2,5,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,2,5,7,3,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,3,6,8,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,3,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,2,3,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,1,4,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,5,1,3,4,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,4,5,1,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,1,7,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,3,1,2,8,4,5,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,5,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,1,5,8,7,2] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,6,1,7,4,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,5,7,4,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,6,1,7,4,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[6,1,7,8,5,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,5,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,7,4,6,8,2,5] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,5,6,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,7,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,7,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,3,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,1,7,2,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,4,2,1,7,3,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,6,8,5,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,6,7,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,7,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,8,7,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,3,6,5,7] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,2,4,1,3,8,5,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[6,2,4,1,3,5,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,2,6,1,3,5,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,4,1,3,5,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,6,2,1,3,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,4,2,1,6,3,5,7] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,1,8,3,5,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,2,1,8,3,5,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[2,8,4,1,3,6,5,7] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,2,1,3,6,5,7] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,2,1,6,3,5,7] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,8,1,4,6,3,5,7] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,8,4,6,3,5,7] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,6,4,8,3,5,7] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,1,4,8,3,5,7] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,6,4,1,8,3,5,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[4,2,6,1,3,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,2,6,1,8,3,5,7] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[8,2,4,1,6,3,5,7] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,2,1,4,6,3,5,7] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[6,2,1,4,8,3,5,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,8,6,3,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,2,1,8,4,3,5,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[8,2,6,1,4,3,5,7] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,8,1,4,3,5,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,2,8,1,3,6,5,7] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,1,4,8,6,3,5,7] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,8,1,6,3,5,7] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,6,8,1,4,3,5,7] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,6,1,8,4,3,5,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,1,6,8,4,3,5,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[6,2,4,1,5,3,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,3,6,1,5,2,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,1,8,3,4,2,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,1,3,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,6,8,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,8,5,6,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,6,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,5,4,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,5,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,6,3,8,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,5,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,4,6,3,7,5] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,1,6,3,4,2,7,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,7,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,2,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,5,3,6,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,4,1,7,3,6,5] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,2,4,3,6,1,7,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,7,2,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,1,8,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,8,1,5,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,8,5,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[7,1,8,5,6,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,6,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,8,1,5,4,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,7,4,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,2,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,7,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,5,8,3,7,4] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[6,5,7,4,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,1,8,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,4,8,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,8,3,5,7,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,7,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,5,3,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,8,1,7,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,7,8,5,3,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,2,6,3,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,5,8,4,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,3,7,1,5,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,7,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,8,5,2,6,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,6,1,5,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,6,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,5,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,1,4,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,3,4,5,7,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,3,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,8,3,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,3,7,6,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,5,4,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,1,5,7,3,6,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[5,7,3,6,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,1,6,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[3,4,6,2,7,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,4,8,2,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,4,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,4,6,1,5,7,8,2] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,7,6,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,8,2,7,6,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,3,5,2,6,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,2,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,5,2,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,5,1,6,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,6,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,4,5,7,3,2,8,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,5,7,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,1,7,4,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,5,6,7,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,6,7,8,3,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,7,8,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,5,7,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,2,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,6,2,7,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,7,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,7,8,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,6,1,7,8,5,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,1,6,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,2,6,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,6,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,3,6,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,3,6,5,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,8,4,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[6,2,4,1,8,7,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,4,2,8,5,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[2,6,3,8,7,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[2,5,1,8,3,4,7,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[2,4,8,3,7,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,2,3,8,4,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,3,7,1,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[5,3,8,1,2,4,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,2,4,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,6,2,8,7,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,2,5,8,7,6,3] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,2,8,7,4,6] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,8,7,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,2,6,1,8,7,3,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,3,4,8,7,2,6,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,1,2,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,4,8,2,7,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[6,4,1,2,7,3,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,7,5,4,1,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,1,7,3,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,7,5,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,7,4,8,1,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,6,5,3,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,7,1,4,8,3,5,6] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[3,7,6,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,2,4,8,3,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[4,7,6,5,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,5,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,5,4,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,1,6,2,4,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,4,8,3,6,5] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,6,7,4,2,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,4,6,1,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,1,2,5,3,8,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,6,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,5,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,6,5,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,5,8,4,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,5,2,7,6,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,3,7,6,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,3,2,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,1,8,4,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,3,2,8,1,5,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[5,7,4,3,2,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,7,6,2,4,8,3,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,5,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,2,3,7,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,3,2,7,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,6,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,2,4,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,7,5,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,6,8,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,3,5,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,1,6,8,2,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,5,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,1,7,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,3,6,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,8,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,1,2,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,1,2,4,6,3,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,7,1,8,3,6,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,1,5,8,7,3,4,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[7,1,2,3,8,6,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,5,8,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,4,1,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,4,1,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,4,3,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,5,7,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,6,7,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,6,8,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,8,5,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,7,5,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,6,5,7,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,4,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,4,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,5,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,4,6,8,5] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[6,7,3,2,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,8,7,4,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,7,8,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,8,7,6,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,8,6,7,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,5,8,7,4] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,6,3,2,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,5,7,8,4] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,3,6,8,7,4] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,3,6,8,4,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,8,1,7,3,6,5] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[3,4,8,5,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,2,4,3,6,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,1,5,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,2,3,8,5,4,7] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,2,7,6,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,8,1,7,3,5,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,4,1,2,8,5,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,5,3,8,7,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,1,8,7,6,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,8,7,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,7,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,4,7,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,4,7,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,2,4,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,8,7,2,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,3,6,1,2,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,5,2,8,7,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,1,4,8,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,3,7,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,7,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,4,6,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,4,7,1,3,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,3,7,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,7,1,3,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,8,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,8,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,5,7,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,3,7,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,8,2,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,7,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,2,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,6,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,2,7,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,3,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,3,2,6,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,2,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,2,1,5,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,5,6,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,4,6,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,6,8,7,3,5] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[4,3,1,6,8,7,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,8,6,7,3,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,3,6,1,8,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,6,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,7,6,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,5,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,5,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,6,4,1,5,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,3,2,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,7,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,5,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,2,6,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,2,4,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,3,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,2,4,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,7,6,3,5,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[3,1,8,4,6,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,4,7,8,5,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,5,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,3,4,7,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,6,4,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,8,4,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,7,6,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,1,2,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,4,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,1,4,2,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,6,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,6,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,8,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,8,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,8,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,6,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,1,6,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,1,8,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,8,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,6,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,6,3,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,4,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,1,2,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,4,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,4,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,2,6,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,1,2,4,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,5,4,7,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,5,4,8,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,4,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,8,3,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,3,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,2,1,8,5,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,3,1,7,8,2,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,4,7,3,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,4,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,1,7,2,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,7,3,6,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,8,7,4,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,4,3,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,8,5,4,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,8,5,4,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,7,8,6,3,5] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[7,3,2,1,8,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,5,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,4,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,7,6,1,2,4,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,2,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,4,1,6,5,3,7] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,1,7,5,3,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[8,2,4,1,7,6,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,7,5,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,1,8,6,4,3,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[5,7,2,6,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,5,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,2,7,5,4,3,8,6] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,8,6,5,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,5,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,5,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,8,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,3,7,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,1,8,7,5,2,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,4,6,3,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,4,8,7,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,1,6,4,8,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,2,8,1,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[3,6,5,7,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,6,3,8,1,5,7] => [6,4,7,2,8,1,3,5] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,6,2,4,7,5,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,8,1,6,5,3,7] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,1,5,8,6,4,3,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[7,2,5,6,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,2,5,7,8,4,3,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,1,8,6,3,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,3,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,6,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,3,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,8,5,4,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,4,2,6,8,5] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,1,4,7,8,6,3] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[3,5,1,4,8,6,2,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,2,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,4,2,8,5,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,8,1,2,7,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,7,1,5,4,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,1,6,2,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,8,6,1,5,3,7,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,5,1,3,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,4,1,3,8,5] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,2,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,7,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,2,4,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,6,2,4,7,8,3] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,2,4,7,3,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,2,4,8,3,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,2,4,6,7,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,2,3,7,4,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,6,5,2,3,7,8,4] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,4,2,3,7,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,5,2,3,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,2,3,7,8,5] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,2,3,7,5,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,8,6,2,4,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,5,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,6,7,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,5,4,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,7,6,5,8,2] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,2,7,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,3,7,2,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,3,8,2,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,3,8,2,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,1,2,8,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,7,8,1,2,6,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,3,7,2,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,4,7,6,1,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,6,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,5,3,4,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,8,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,4,2,8,5,6] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,4,3,7,2,5,6] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,3,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,3,4,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,6,3,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,7,2,6,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,6,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,7,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,3,8,7,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,7,3,6,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,8,5,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,6,5,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,4,8,6,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,2,5,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,4,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,2,4,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,1,3,2,6,4,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,2,4,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,4,2,6,8,5] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,3,2,5,8,6] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,5,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,8,5,4,3,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,6,1,4,3,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,3,2,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,4,7,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,2,3,7,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,6,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,6,7,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,1,8,4,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,4,5,3,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,8,7,1,4,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,2,4,3,8,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,5,4,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,4,7,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,2,5,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,2,5,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,5,8,2,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,8,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,7,2,8,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,7,2,8,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,5,2,7,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,6,7,5,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,3,5,8,7,1,4] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,8,4,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,7,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,2,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,5,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,3,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,7,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,6,5,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,8,1,2,4,5,3,7] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,4,5,3,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,1,6,2,3,4,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,3,6,1,4,5,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,3,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,4,3,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,1,7,4,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,7,4,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,6,3,4,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,5,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,8,1,3,6,4,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,2,3,6,7,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,3,1,5,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,5,6,7,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[3,5,8,1,2,4,7,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,1,2,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,8,6,3,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[3,8,4,1,2,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,1,8,6,3,7,5] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,4,1,3,6,2,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,5,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,8,6,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,7,1,6,2,8,5,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,3,8,7,2,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,5,2,4,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,8,3,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,4,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,6,4,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,5,3,8,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,5,3,8,2,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,2,5,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,5,4,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,5,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,1,2,5,4,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,2,5,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,1,7,3,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,3,1,6,5,7] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,5,3,8,6,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,8,2,7,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,4,7,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,5,8,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,5,8,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,5,6,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,5,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,1,5,3,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,8,2,7,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,8,6,7,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,5,2,8,1,6,3,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,4,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,4,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,8,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,7,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,3,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,6,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,1,7,2,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,5,1,3,2,7,6,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,7,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,7,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,4,2,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,6,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,4,7,6,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,3,2,1,7,4,6,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,2,1,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,7,2,3,6,1,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[3,7,4,2,8,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,1,6,7,5,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,7,6,3,8,5] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[6,3,7,1,5,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,8,4,7,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,1,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,7,1,3,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,6,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,2,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,1,4,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[7,4,3,5,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,5,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,6,7,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,5,8,4,7,3] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,6,8,5,4,3,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[5,8,4,3,2,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,4,2,3,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,2,8,3,4,5,7,6] => [1,2,8,4,5,6,7,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,8,2,3,6,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,2,3,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,8,3,6,4,5,7] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,6,3,1,5,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,1,5,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,5,2,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,1,5,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,5,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,5,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,1,6,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,1,6,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,1,7,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,8,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,1,7,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,1,5,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,5,3,1,6,4,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,7,5,3,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,5,2,3,8,4,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,3,1,8,6,4,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,1,6,5,7] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,2,6,3,8,7,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,8,3,6,4,7,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,7,6,3,4,8,5] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,6,3,1,8,5,4,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,2,3,5,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,1,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[3,5,8,2,4,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,2,3,5,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,3,8,6,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,6,3,8,4,7,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,5,2,3,8,7,4,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,2,1,7,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,3,8,4,6,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,5,7,6,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,6,1,5,7] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,5,1,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,2,8,4,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,6,7,5,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,6,7,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,5,3,2,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,5,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,6,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,8,5,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,7,1,5,8,6,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,4,7,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,1,4,3,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,6,5,4,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,1,7,3,8,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,3,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,6,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,5,2,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,4,3,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[3,8,5,4,6,2,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,1,3,7,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,4,1,2,7,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,6,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,4,8,2,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,5,8,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,4,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,5,6,1,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,3,5,7,8,2,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,7,2,4,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,8,6,5,4,3,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,5,2,8,4,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[1,7,3,5,8,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,8,1,5,7,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,6,8,2,3,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,8,1,2,3,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,1,8,5,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,7,4,1,8,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,6,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,2,6,8,5,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,2,8,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,5,4,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,8,1,6,4,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,6,8,5,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,3,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,6,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,1,8,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,8,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,2,1,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,6,7,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,4,6,7,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,6,7,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,1,4,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,3,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,1,5,8,7,3] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,1,5,4,8,2,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,4,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,1,2,4,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,3,5,2,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,5,6,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,4,3,5,6,2,7] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,5,7,8,4] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,3,8,1,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,3,7,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,7,4,8,1,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,6,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,6,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,4,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,4,2,8,7,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,4,2,7,8,5,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,1,6,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,2,3,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,7,4,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,1,2,4,3,5,7] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,3,4,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,7,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,8,3,7,5,6,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,8,1,5,4,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,5,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,7,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,7,1,8,5,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,8,2,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,8,4,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,8,2,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,2,6,1,4,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,5,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,7,3,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,1,5,8,4,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,3,7,2,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,1,6,7,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,3,8,6,4,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,2,1,4,3,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,2,6,8,5,7,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,1,6,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,8,7,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,7,8,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,8,4,2,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,3,5,2,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,8,7,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,8,7,2,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,7,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,5,7,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,4,8,1,6,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,8,6,5,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,1,4,7,6,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,3,2,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,7,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,4,2,6,1,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,6,1,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,2,5,1,7,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[6,4,2,7,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,2,6,7,1,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,8,2,6,5,1,4,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,2,7,6,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,3,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,6,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,6,1,5,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,3,2,1,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,2,1,4,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,1,4,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,2,7,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,4,1,6,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,5,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,7,1,5,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,5,4,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,3,2,1,6,4,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,8,7,1,5,4,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,4,1,7,5,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,6,7,4,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,5,7,2,6,3,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[3,4,5,6,8,1,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,2,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,3,5,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,7,8,1,6,3] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,5,8,1,7,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,7,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,2,8,3,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[7,1,8,2,5,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,5,4,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,6,5,4,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[8,1,7,6,3,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,1,7,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,1,6,5,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,1,7,5,4,3,8,6] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,8,4,5,3,6,7] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[8,5,3,1,6,2,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,4,6,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,8,6,3,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,6,3,2,7,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,4,7,5,1,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,5,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,4,6,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,3,1,4,5,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,8,1,4,5,3,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,7,5,1,3,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,4,7,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,6,5,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,4,6,1,5,7] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,3,6,1,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[8,3,4,5,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,5,8,7,1,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,4,5,6,8,1,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[1,5,7,8,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,1,6,8,2,7,4] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,3,8,4,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,5,1,6,8,3,7,4] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[5,1,7,8,6,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,7,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,2,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,6,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,6,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,1,4,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,1,5,6,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[6,7,4,1,5,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,7,5,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,7,8,6,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,7,5,4,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,7,5,8,1,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,4,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,7,5,8,1,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,6,3,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,6,3,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,1,8,6,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,5,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,5,4,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,5,8,2,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,6,2,8,3,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,6,2,8,4,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,5,8,2,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,7,8,1,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,2,1,8,4,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[3,5,2,6,8,4,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,8,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,6,8,3,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,1,8,4,3,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[4,5,6,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,8,4,5,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,1,7,4,3,8,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[6,4,1,7,3,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,3,7,8,4,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,1,4,3,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,7,3,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,3,1,7,8,4] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,1,3,8,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,6,2,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,8,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,1,8,5,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,2,6,4,5,8,1,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,6,5,8,1,3,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[5,3,2,1,6,8,4,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,2,4,5,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,8,4,1,7,6,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,4,2,7,3,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[3,4,2,5,8,6,7,1] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,1,3,5,6,8,7,2] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,2,8,3,5,6,7,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,5,3,8,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,3,1,2,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,4,2,3,7,1,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,6,5,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,6,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,8,5,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,2,5,6,7,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,2,8,5,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,2,5,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,6,5,2,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,5,2,1,8,7,4] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,2,6,3,4,5,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,1,3,8,7,4] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,7,1,6,5,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,1,5,8,6,7,2] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,1,3,5,8,6,7,2] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,1,6,8,7,3] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,3,1,2,8,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,1,6,8,7,4] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,3,2,1,8,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,2,7,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,1,3,6,4,7,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,5,1,7,8,4,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,7,4,5,8,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,2,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,8,5,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,6,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,7,6,4,5,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[4,2,8,1,5,6,7,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,1,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,2,4,1,5,6,7,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,8,3,5,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,5,1,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,6,8,2,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,2,1,8,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,6,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,2,1,8,5,4,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,2,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,1,4,5,6,7] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,7,8,3,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,7,8,5,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,7,8,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,3,2,8,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,7,8,3,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,6,8,1,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,8,3,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,2,7,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,1,8,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,2,3,1,5,6,7] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,4,2,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,2,7,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,7,8,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,8,5,4,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,3,8,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,4,5,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,4,8,6,5] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,1,8,3,4,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,2,4,3,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,3,8,4,7,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,2,1,3,7,6,4,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,2,5,1,3,7,4,6] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,3,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,5,3,2,4,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,7,6,5,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,5,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,6,1,5,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,8,5,2,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,2,6,4,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,1,8,4,3,7,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[6,2,5,4,8,1,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,3,4,5,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,3,4,1,5,2,7,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,5,1,8,4,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,4,7,2,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,3,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,7,8,6,2] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,2,8,1,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,3,1,4,7,2,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,3,8,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,6,1,5,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,3,4,7,1,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,5,6,2,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,1,5,2,8,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,4,5,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,3,6,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,4,1,6,8,7,3] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,2,5,7,6,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,6,4,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,4,2,5,8,7,3,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,2,4,8,7,3,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,8,2,7,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,2,5,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,8,2,3,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,4,1,5,3,7,6] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[3,8,4,1,5,7,2,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,5,7,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,8,7,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,5,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,8,6,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,6,7,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,1,7,8,2,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,6,7,3] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,7,3,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,7,6,3] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,6,3,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,8,3,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[5,2,6,1,7,8,4,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,2,8,7,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,2,4,1,7,8,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,2,8,7,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,4,5,3,6,7] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,8,3,4,2,5,6,7] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,3,2,5,6,7] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,7,4,6,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,6,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,3,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,2,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,6,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,6,5,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,6,5,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,6,5,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,5,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,4,2,5,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,6,4,7,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,6,4,2,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,4,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,5,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,6,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,7,8,2,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,8,2,4,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,8,2,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,4,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,7,3,4,8,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,7,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,3,4,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,3,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,3,5,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,7,2,4,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,6,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,6,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,3,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,6,8,2,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,5,1,8,7,4] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,5,8,2,3,7,4,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,2,3,5,4,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,4,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,4,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,5,8,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,6,2,8,3,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,5,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,4,8,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,5,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,1,2,4,8,5] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,4,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,5,2,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,2,4,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,8,7,5,4] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,4,1,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,1,3,6,7] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,1,5,8,3,4,7] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0

[3,8,1,4,7,2,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,6,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,7,1,6,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,2,7,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,1,3,7,5,6,8,2] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,7,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,5,8,4,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,8,4,1,7,5,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,2,4,8,6,5,3,7] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,1,5,6,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,1,4,6,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,8,2,5,7,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,4,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,8,7,2,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,2,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,3,6,2,4,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,1,3,8,6,2,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,4,8,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,1,3,5,6,7,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[6,3,1,4,7,5,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,4,7,2,8,5] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,3,2,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,8,5,4,3,6,7] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,7,4,1,5,3,8,6] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,7,1,4,6,3,8,5] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[4,7,5,6,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,4,2,3,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,6,5,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,6,8,3,7,4] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[6,5,7,2,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,6,4,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,4,6,3,5,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,6,5,2,7,8,4] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,3,6,8,5,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,3,6,8,5,2,4,7] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,6,8,5,4,3,7] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,4,6,8,3,2,5,7] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,1,7,5,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,7,5,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,5,4,6,8,2,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,6,8,1,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,1,8,7,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,5,8,7,4,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,2,4,8,7,3,6,5] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,2,5,8,7,4,3,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,3,5,8,7,2,4,6] => [1,6,7,8,5,2,3,4] => [1,7,6,5,8,4,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,7,6,8,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,8,7,6,3,5] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,3,4,7,2,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,4,6,8,1,5] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,3,6,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,6,2,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,3,1,2,8,4,6,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,3,8,5,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,8,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,3,6,1,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,3,4,5,7] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,4,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,2,3,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,2,3,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,8,2,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,7,1,8,3,6,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,7,1,8,4,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,3,6,8,2,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,8,7,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,7,6,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,2,3,5,1,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,1,4,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,2,3,4,5,7] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,7,3,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,2,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,2,3,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,6,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,4,7,1,8,5] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,4,8,5,3,7] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => {{1,2},{3,4,5,6,7,8}} => 0

[4,1,8,5,3,2,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,7,5,4,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,6,1,2,8,4,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,8,7,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,8,1,2,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,5,2,7,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,1,3,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,5,8,7,2,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[1,8,5,7,3,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,4,8,7,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,8,6,2,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,1,6,5,7] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,4,2,7,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,7,2,6,8,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,1,3,6,5,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,3,6,1,5,7] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,8,5,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,7,1,4,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,1,2,8,4,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,7,6,2,4,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,4,2,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,5,7,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,1,6,5,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,8,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,5,8,7,3,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,1,5,7,6,8,2,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[7,6,2,5,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,5,2,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,8,2,6,5,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,5,2,6,1,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,6,5,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,7,8,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,6,5,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,7,1,6,5,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,8,7,1,6,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,6,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,4,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,3,8,6,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[5,6,8,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,4,7,5,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,4,3,5,8,1,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,1,8,3,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,3,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,5,3,8,2,7,4] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,6,3,1,8,2,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[5,8,4,2,7,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,6,4,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,7,3,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,4,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,3,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,1,6,8,2,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,4,7,5,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,3,2,6,4,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,6,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,3,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,6,5,3,2,4,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,6,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,5,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,4,8,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,3,2,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,5,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,5,1,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,1,7,3,8,4,6,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[7,1,8,2,4,3,6,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,5,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,5,2,8,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,7,2,8,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,2,7,3,6,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,2,4,3,7,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,2,4,3,7,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,2,5,3,7,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,2,5,3,7,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,2,7,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,2,7,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,7,2,8,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,6,2,4,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,1,6,2,8,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,6,3,5,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,4,7,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,8,1,5,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,4,7,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,7,3,2,5,6,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,8,1,5,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,1,7,3,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,4,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,8,1,7,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,8,1,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,7,3,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,1,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,1,3,2,4,6,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,7,1,8,4,6] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[5,1,2,7,3,6,4,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,3,6,2,7,8,4] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,5,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,8,6,2,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,6,5,4,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,2,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,1,3,2,4,5,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,5,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,5,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,1,5,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,4,6,7,1,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,4,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,5,6,7,1,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,2,6,7,1,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,1,6,7,2,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,2,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,2,4,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,2,1,4,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,4,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,1,4,7,3,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,4,5,8,7,2,6] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,4,5,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,3,4,5,8,6,1,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,5,8,1,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[5,6,1,4,7,2,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,2,6,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,6,1,2,7,4,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,2,6,8,4,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,2,6,8,3,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,7,5,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,5,6,8,1,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,6,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,3,4,5,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,8,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,4,5,8,6,2,7] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,4,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,4,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,4,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,5,6,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,4,5,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,3,4,5,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,7,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,8,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,7,3,5,8,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,7,3,6,8,4,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[4,3,7,5,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,5,7,4,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,2,4,1,7,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,4,1,7,5,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,7,1,8,5,3,6] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,1,8,3,6,4,5,7] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,8,3,7,4,5,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,8,3,6,7,4,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[1,6,8,3,7,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,1,5,7,2,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,1,2,7,8,3,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,4,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,2,8,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,2,7,3,8,5,4,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,8,7,3,5,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,2,7,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,4,6,5,3,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,1,3,5,2,6,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,6,3,4,5,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,4,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,7,2,4,6,8,5] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,6,7,4,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,1,6,3,7,5] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[4,1,6,3,5,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,5,3,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,7,6,5,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,4,8,2,5,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,8,5,2,4,6,3,7] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,2,3,5,7,6] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,4,8,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,3,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[6,4,7,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,3,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,6,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,2,6,8,4,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,2,1,3,5,8,6,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[6,4,7,3,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,5,1,6,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,8,4,5,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,3,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,3,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,4,8,1,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,4,8,1,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,6,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,6,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,2,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,4,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,1,8,7,3] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,6,5,1,4,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,1,2,4,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,1,2,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,3,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,3,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,1,3,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,3,4,5,1,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,3,1,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,4,3,1,8,5,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,6,4,3,1,8,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,8,4,1,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,4,1,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,2,1,7,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,4,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,4,1,7,8,3] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,1,8,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,3,1,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,4,5,7,8,1,3] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,4,2,8,7,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,8,3,4,7,5,1,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,3,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,6,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,8,6,7,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,3,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,1,5,2,4,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,8,7,5,3,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[3,6,8,2,4,1,5,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,7,5,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,5,4,8,1,3,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[6,5,3,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,4,3,2,5,1,7,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,8,5,3,6,7,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,6,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,5,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,7,5,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,7,5,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,5,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,8,5,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,4,1,2,3,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,3,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,4,6,7,8,3] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,5,3,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,1,6,7,8,4] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,1,6,7,8,4] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,6,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,6,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,5,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,5,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,2,6,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,2,3,6,8,5] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,1,5,6,4,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,4,1,2,5,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,1,5,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[7,6,4,1,5,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,4,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,1,4,6,7,8,3] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,4,1,3,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,5,3,7,2,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,3,2,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,3,8,7,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,6,8,1,5,7,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,1,6,5,3,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[4,1,7,2,8,6,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,5,1,4,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,1,5,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,8,7,6,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,6,3,2,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,7,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,8,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,7,6,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,2,4,6,5,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,8,4,3,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,3,2,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,1,8,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,4,2,1,7,8,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,4,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,5,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,4,1,2,5,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,5,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,8,2,1,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,3,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,1,4,3,5,6,7,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,3,1,4,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,3,4,7,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,6,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,5,7,2,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,3,2,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,2,3,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,4,7,5,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,2,7,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,1,6,2,7,8,5,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,7,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,7,6,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,1,7,6,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,4,8,1,7,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,6,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,7,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,8,7,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,1,8,7,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,1,8,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,8,7,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,3,5,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,8,1,4,2,3,5,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,1,4,2,3,6,5,7] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,8,2,3,6,5,7] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,2,3,8,1,4,5,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,3,8,1,5,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[4,8,2,3,6,1,5,7] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,2,3,8,4,1,5,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,4,2,3,6,1,5,7] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,3,8,1,5,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,4,3,8,1,5,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[2,8,4,3,6,1,5,7] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,8,3,6,4,1,5,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,2,1,3,8,4,5,7] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[8,2,1,3,6,4,5,7] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[6,2,4,3,8,1,5,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,4,7,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,4,2,7,8,3] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,5,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,1,6,2,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,1,3,5,8,2,7,4] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,8,7,4,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,3,5,8,6,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,6,3,7,8,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,2,3,7,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,4,5,1,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,8,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,8,6,7,5,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,7,2,6,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,4,3,5,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,2,1,3,8,5,7,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[6,1,4,3,8,5,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,4,3,6,5,7,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,1,3,6,5,7,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,2,4,1,3,5,7,6] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,3,5,7,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,3,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,3,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,6,3,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,8,1,3,5,7,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,3,8,5,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,3,6,8,5,7,2] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,8,3,6,5,7,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[1,4,8,6,3,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,8,6,3,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,3,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,1,3,5,7,6] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,3,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,4,3,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,4,3,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,4,3,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,8,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,8,4,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,5,4,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,2,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,4,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,8,1,4,6,3,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,3,1,4,2,5,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,4,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,4,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,4,7,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,7,3,1,4,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,3,1,4,2,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,4,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,4,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,4,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,2,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,5,4,8,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,4,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,4,5,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,4,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,4,5,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,2,5,8,6,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,6,2,3,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,8,3,1,6,5,7] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,7,1,8,6,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,1,3,8,7,4,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,5,4,3,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,1,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,5,4,3,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,4,8,1,5,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,1,6,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,5,8,3,1,4,7,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,4,8,1,5,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,8,4,6,3,5,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,3,6,8,1,5,4,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,5,6,1,4,7,8,3] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,1,8,5,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,7,6,3,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,6,1,8,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,4,7,6,1,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,6,4,8,5,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,4,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,1,6,8,5,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,6,4,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,4,7,5,1,6,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,4,7,1,6,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[5,2,4,6,8,3,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,4,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,7,8,3,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,1,6,4,5,3,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,4,3,5,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,7,3,2,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,4,5,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,5,4,3,6,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[5,8,2,4,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,4,5,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,5,4,3,6,7] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,2,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,1,8,6,3,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,8,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,6,4,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,1,3,5,7,4,6] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[7,4,8,1,3,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,5,7,4,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,5,8,4,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,3,4,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,6,7,1,8,4] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,6,5,2,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,8,3,1,7,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,3,8,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,4,7,2,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,5,7,4,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,6,4,7,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,3,6,4,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,5,7,4,6] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,3,6,4,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,6,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,6,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,4,2,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,2,3,8,7,5,1,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,8,7,1,6,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,3,7,8,5,1,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,4,7,8,1,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,7,1,5,6] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,4,7,1,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,4,8,1,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,7,6,1,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,1,7,5,4,2,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,2,3,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,2,6,3,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,5,3,4,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,3,7,1,5,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,8,1,5,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,3,8,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,3,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,8,3,1,5,4,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,5,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,6,2,8,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,7,1,2,6,3,8,5] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,1,5,3,4,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,1,4,5,6,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,1,6,5,3,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,3,1,4,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,4,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,5,4,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,4,5,3,7] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,8,1,4,5,3,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,8,6,1,5,3,4,7] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,3,7,2,1,4,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,4,5,8,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,5,8,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,8,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,6,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,4,8,6,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,3,5,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,5,6,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,3,5,6,7,2,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,4,3,6,1,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,4,6,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,8,2,1,7,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,4,2,6,1,5,7] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,8,2,5,6,7,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,1,3,5,6,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,6,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,6,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,5,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,5,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,3,6,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,4,2,5,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,6,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,6,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,8,6,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,5,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,8,6,1,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[1,4,8,5,6,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,5,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,1,4,5,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,7,1,5,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,2,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,1,8,3,4,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[8,7,6,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,2,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,3,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,1,3,4,5,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,8,4,5,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,3,2,4,7,5,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,4,7,5,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,5,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,7,4,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,6,7,5,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,5,1,8,3,4,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,6,1,4,8,3,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[7,1,6,8,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,6,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,4,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,6,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,4,7,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,6,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,6,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,4,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,8,4,2,6,3,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,4,6,2,5,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,1,4,6,2,5,7] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,2,8,4,7,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,6,2,8,5,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[2,8,7,1,4,6,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,7,1,5,4,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,7,2,3,6,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,3,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,2,3,5,6,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,1,4,7,3,5,6] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,3,6,1,4,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,3,4,5,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,7,2,3,6,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,1,7,2,3,6,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,1,2,3,4,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,2,8,5,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,2,3,6,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,1,8,2,7,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,6,8,2,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,2,3,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,2,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,6,3,5,7,1,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,3,4,5,1,7,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,4,6,1,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,2,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,3,7,5,4,6] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[7,1,8,2,5,6,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,5,8,2,7,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,4,6,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,7,1,6,4,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,8,7,1,5,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,4,5,7,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,1,2,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,7,5,3,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,4,8,3,2,5,7,6] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,3,5,7,6,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,2,3,5,7,6] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,7,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,1,8,6,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[3,8,2,5,6,1,4,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,5,2,8,6,4,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,2,1,6,8,3,4,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,5,1,6,8,3,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,6,7,8,4,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,1,7,3,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,8,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,4,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,4,7,3,8,5] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[3,2,5,6,7,8,1,4] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,3,2,8,4,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,7,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,1,4,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,4,2,5,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,1,8,3,5,6] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,6,7,4,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,5,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,7,8,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,4,8,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,2,4,6,3,5,7] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,2,4,6,3,7,5] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,2,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,6,5,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,3,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,2,5,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,3,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,4,8,1,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,3,7,8,2,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,2,6,4,8,1,5,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[2,3,6,4,7,8,5,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,2,5,8,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,7,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,8,1,5,3,7,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[1,8,4,6,7,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,3,4,5,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,1,8,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,3,5,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,1,8,2,4,5,7,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,6,4,2,8,5,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,3,2,5,1,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,3,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,6,1,8,4,7,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,1,8,3,2,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[2,7,8,3,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,8,2,3,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,6,2,8,4,7,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,3,6,8,4,7,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,5,8,3,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,5,2,4,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,4,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,5,8,7,2,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,1,3,5,8,2,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,4,5,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,5,8,7,1,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,4,5,8,7,1,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,4,6,5,7] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,1,6,5,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,7,6,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,8,5,3,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,3,7,5,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,4,5,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,3,5,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[8,2,1,3,4,5,7,6] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[7,3,8,2,5,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,3,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,7,1,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,2,5,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,5,2,3,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,6,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,7,2,4,6,1,8,5] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,6,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,6,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,1,3,8,7,5,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,6,1,8,7,5,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,8,5,1,6,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,6,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,7,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,8,2,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,5,1,6,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,6,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,3,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,3,8,5,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,8,4,5,7,2,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,7,4,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,1,3,6,5,4,7] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,8,7,3,5,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,4,2,3,6,1,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,8,3,2,7,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,3,4,5,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,5,2,7,4,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,6,2,8,5,7,1] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,7,2,6,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,4,1,2,5,8,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,6,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,6,8,5,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,7,2,6,8,5,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,5,4,6,7,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,5,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,5,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,7,3,4,5,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,1,2,6,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,6,2,5,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,3,4,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,2,7,8,1,4] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,5,4,2,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,2,3,5,4,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,8,2,5,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,2,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,5,8,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,4,2,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,8,2,5,7,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[6,8,2,3,7,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,4,5,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,6,2,3,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,5,2,6,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,5,1,3,7,4,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,1,2,4,5,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,1,2,5,4,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,6,1,3,7,4,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,1,5,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,4,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,5,3,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,1,7,8,5,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,7,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,2,6,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,5,6,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,8,1,5,2,6,7,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,5,8,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,1,8,6,3,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,5,2,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,1,2,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,8,2,3,5,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,5,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,4,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,4,1,3,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,1,7,6,3,8,2,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,8,2,5,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,6,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,1,4,8,7,6,3,5] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[8,1,3,5,7,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,6,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,1,6,7,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,3,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,8,6,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,8,6,7,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,6,3,5,2,7,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,2,6,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,2,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,6,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,8,4,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,1,6,7,3,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,8,1,6,7,3,5] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[5,1,8,2,6,7,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,4,1,6,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,4,6,7,2,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,3,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,8,4,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,3,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,3,6,2,5,4,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,3,8,2,7,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,5,7,8,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,1,2,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,4,8,3,2,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,7,1,3,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,2,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,2,6,3,8,5,7,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,5,2,6,8,4,7,3] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,2,3,8,1,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,1,2,8,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,3,2,8,6,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,2,7,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,2,6,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,6,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,8,7,3,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,6,1,8,3,7,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,1,2,8,6,3,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,7,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,5,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,6,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,7,6,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,5,2,4,6,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,3,4,2,5,6,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,8,6,7,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,3,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,4,2,6,5,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,3,5,2,6,4,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,8,4,7,3,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,6,2,5,4,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,3,6,2,4,5,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,8,5,6,2,3,4,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,2,4,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,2,4,5,3,6,7] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,3,5,8,2,6] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,6,2,4,5,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,4,8,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,7,3,5,8,2,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,4,8,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,2,3,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,5,7,8,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,8,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,7,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,3,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,8,2,3,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,7,1,3,8,2,4,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,6,8,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,7,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,7,6,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,6,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,5,8,3,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,3,2,5,6,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,2,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,4,3,2,5,8,6] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,7,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,2,6,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,1,6,8,5,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,7,8,6,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,4,2,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,3,2,5,6,1,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,3,5,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,1,2,6,5,7] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,3,1,2,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,8,1,6,3,4,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,5,1,3,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,3,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,3,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,2,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,3,7,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,1,6,4,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,4,7,3,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,2,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,3,2,8,6,4,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,5,4,3,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,6,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,3,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,7,2,4,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,5,8,6,3,7] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,5,8,6,7,3] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,5,8,7,6,3] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,5,7,8,6,2] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,1,5,7,8,2,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,7,1,8,4,3,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,2,1,6,8,5,7,3] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,6,8,5,3,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,6,1,8,7,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,2,6,1,8,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,1,6,8,3,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,7,8,6,3,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,1,7,8,3,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,7,1,8,3,6,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,2,7,1,8,3,4,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,2,1,7,8,3,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,4,3,1,8,2,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,8,2,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,3,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,6,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,2,1,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,3,8,5,4,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,8,6,3,5,4,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,5,7,8,6,3] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,8,5,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,4,2,1,8,5,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[8,5,4,1,7,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,8,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,6,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,4,3,7,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,2,7,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,3,7,4,2,8,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,3,4,2,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,4,5,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,7,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,3,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,1,3,2,6,7,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,1,3,6,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,2,4,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,3,2,6,7,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,1,3,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,4,8,1,2,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,2,5,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,6,2,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,7,4,1,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,2,6,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,4,8,6,1,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,2,6,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,6,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,1,5,8,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,6,4,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,3,8,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,7,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,4,7,5,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,8,3,1,4,2,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,8,4,3,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,1,6,3,8,7,2,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,8,7,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,7,8,2,5] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,6,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,2,3,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,5,7,4,6,2,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,5,7,4,2,8,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,1,7,4,3,8,5] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,3,7,4,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,3,1,8,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,2,7,8,4,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,5,1,6,8,4,7,3] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,6,2,1,7,8,3,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,6,8,4,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,6,8,7,1,3] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,2,4,8,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,4,7,8,6,1,3] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,3,1,5,8,2,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,1,5,6,7] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[8,1,5,7,3,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,4,2,8,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,2,8,4,1,7,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,6,4,2,3,7,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,6,4,2,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,1,5,8,7,2] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,6,5,3,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,6,5,3,1,8,7,4] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,6,5,1,8,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,5,3,8,1,7,4] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,6,1,5,8,3,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,5,8,3,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,1,6,5,8,7,3,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,6,8,1,5,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,8,5,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,8,5,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,3,1,8,5,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,6,1,8,5,7,2] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,3,1,6,8,5,7,2] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,3,6,1,8,7,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,6,3,8,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,6,8,3,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,8,1,3,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,7,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,7,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,6,3,7,8,1,4] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,3,7,8,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,6,7,4,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,3,7,8,4,5,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,2,1,8,6,4,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,4,1,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,1,4,5,8,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,4,6,8,5] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,4,8,7,5] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,2,3,4,6,7,5] => [8,2,3,4,5,7,6,1] => [2,3,4,5,7,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,3,2,1,4,5,7,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,5,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,4,2,5,3,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,3,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,3,5,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,2,1,8,4,5,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,5,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,3,4,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,3,4,6,8,5] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,2,3,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,4,1,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,5,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,2,6,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,6,3,7,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,8,4,1,2,6,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,5,2,7,6,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,6,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,2,4,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,2,1,7,5,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,2,6,7,5,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,2,7,5,6,3,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,3,7,5,6,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,4,6,1,5,7,2,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,8,5,7,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,7,2,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,6,5,7,8,2,4] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,2,3,6,8,5] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,4,7,6,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,4,7,2,5,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,7,5,3,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,2,6,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,3,6,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,5,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,3,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,8,1,7,5,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,8,3,7,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,3,7,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,4,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,2,3,7,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,4,3,2,7,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,8,6,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,7,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,4,8,7,2,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,2,7,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,5,8,3,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,5,8,3,2,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,3,4,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,1,8,6,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,5,3,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,3,8,6,5,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[7,3,5,4,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,1,8,7,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,5,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,1,4,2,8,5,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,2,3,8,6,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,2,6,1,7,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,7,3,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,8,3,5,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,2,8,5,3,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,7,5,3,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,3,6,8,4,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[6,7,3,2,8,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,2,6,1,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,1,2,6,5,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,1,5,6,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,1,2,7,5,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,1,2,8,5,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,1,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,3,2,5,1,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,4,6,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,6,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,3,2,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,3,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,5,2,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,5,2,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,5,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,5,4,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,6,1,7,4,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,4,3,2,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,3,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,5,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,7,6,1,8,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,1,8,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,8,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,7,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,3,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,3,2,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,3,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,7,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,8,1,7,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,2,7,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,4,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,5,3,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,2,4,6,8,1,3,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,3,5,7,2,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,1,7,8,2,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,1,3,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,7,1,5,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,5,7,2,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,7,1,3,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,4,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,5,2,6,7,4,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,6,7,4,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,1,3,7,8,4] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,3,5,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,8,1,4,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,4,8,1,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,4,6,8,2,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,6,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,3,5,7,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,1,2,5,6,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,2,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,4,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,2,6,7,3,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,6,2,7,8,3] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,7,2,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,1,3,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,7,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,6,1,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,1,6,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,3,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,5,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,4,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,8,1,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,4,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,4,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,2,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,5,2,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,5,2,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,2,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,5,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,2,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,7,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,6,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,5,8,6,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,8,6,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,8,3,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,5,6,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,6,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,8,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,7,8,5,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,7,5,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,3,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,3,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,3,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,3,1,8,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,3,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,3,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,8,1,6,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,3,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,1,5,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,5,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,8,5,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,8,1,6,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,6,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,3,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,3,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,5,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,3,7,8,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,8,1,5,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,5,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,5,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,7,8,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,6,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,4,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,1,4,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,4,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,3,7,4,1,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,1,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,1,4,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,1,4,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,3,5,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,5,6,2,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,5,8,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,3,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,7,8,1,5,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,4,6,8,5,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,4,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,1,8,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,5,6,7,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,7,2,4,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,6,7,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,2,4,5,8,1,7,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[7,4,6,3,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,2,1,8,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,4,7,5,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,7,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,3,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,2,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,6,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,1,8,5,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,1,7,3,6,8,5,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[6,4,1,5,7,2,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,2,5,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,1,5,7,8,3] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,3,5,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,3,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,5,7,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,2,8,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,4,8,6,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,8,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,5,8,7,1,4] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,8,7,6,1,3] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,3,5,7,6,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,6,2,8,7,4] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,1,4,2,8,6,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,5,1,8,7,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,2,7,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,1,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,1,7,4,8,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[4,5,1,2,8,7,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,3,7,6,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,4,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,3,7,4,5,8,6,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,6,3,4,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,2,6,4,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,7,3,6,8,5,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,3,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,7,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,1,6,8,4,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,4,6,5,7] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,7,3,1,4,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,1,8,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,6,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,1,2,8,3,7,4] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,3,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,1,7,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,8,7,4,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,7,1,8,5,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,3,6,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,7,5,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,4,6,1,5,7] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,4,6,1,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,4,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,4,7,1,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,4,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,4,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,2,8,5,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,4,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,5,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,5,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,4,7,5,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,4,8,5,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,5,3,4,6,7] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,8,4,2,3,5,6,7] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,4,6,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,5,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,4,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,2,4,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,1,5,6,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,6,2,7,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,6,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,5,6,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,4,6,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,8,2,3,5,6,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,5,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,6,3,4,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,7,1,3,6,4,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,6,7,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,8,7,2,3,6,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,6,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,3,1,5,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,3,5,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,7,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,7,2,5,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,7,5,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,6,7,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,3,6,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,6,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,3,6,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,2,3,6,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,6,2,4,5,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,7,6,3,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,7,1,8,6,2,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,5,2,3,1,4,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,8,1,3,6,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,6,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,2,5,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,5,2,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,2,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,1,8,2,7,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,7,6,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,4,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,6,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,4,5,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,6,7,1,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,3,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,5,6,3,7] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,7,5,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,7,3,1,5,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,4,1,8,5,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,7,4,1,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,2,6,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,3,1,8,5,2,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,5,2,1,8,4,6,7] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[6,4,1,2,7,3,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,1,3,4,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,7,2,4,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,4,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,3,1,5,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,4,7,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,5,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,5,7,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,3,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,3,6,4,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,3,6,2,7,4,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,6,2,7,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,6,8,4,3,7] => [2,1,7,6,8,4,3,5] => [2,1,7,8,6,4,5,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,7,3,1,8,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,6,2,7,1,8,3,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,6,4,5,7,8,3,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,5,6,8,4,7,3] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[1,5,7,8,4,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,7,1,4,3,8,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[5,1,6,3,2,7,4,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,2,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,4,2,7,3,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,8,1,5,4,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,8,2,6,5,4,1,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,2,7,6,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,2,5,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,6,7,4,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,2,1,7,8,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,2,1,8,3,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,6,5,1,4,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,7,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,3,8,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,2,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,8,7,6,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,7,2,5,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,7,8,4,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,1,7,6,3,2,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,8,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,1,7,4,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,7,4,6,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,5,4,8,3,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,1,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,2,4,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,2,7,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,5,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,3,7,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,5,6,3,4,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,6,4,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,1,6,4,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,1,8,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,5,3,8,4,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,8,7,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,8,7,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,8,6,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,8,7,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,7,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,4,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,8,6,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,3,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,4,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,3,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,8,1,3,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,6,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,2,3,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,4,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,4,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,4,7,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,7,4,5,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,1,5,8,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,3,8,5,6,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,8,3,4,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,8,4,5,3,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,6,8,4,7,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,5,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,4,8,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,5,7,3,6,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,6,8,2,3,5,7,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,4,5,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,2,3,4,7,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,2,3,7,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,2,3,8,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,2,6,3,5,1,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,1,6,4,8,5,7,3] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[4,6,5,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,4,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,3,5,8,7,1] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,2,6,3,8,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,4,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,1,4,8,5,7,3] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,1,4,8,6,7,3,5] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[8,4,2,1,5,3,6,7] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,8,4,3,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,3,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,8,3,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,5,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,3,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,8,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,8,4,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,7,1,8,4,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,7,4,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,4,8,3,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,1,8,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,8,1,5,6,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,8,4,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,2,4,7,3,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,6,7,4,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,3,5,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,6,5,7,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,8,7,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,1,7,3,5,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,8,1,6,3,2,5,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,1,2,3,5,6,4,7] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,6,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,4,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,8,1,2,4,5,7,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,8,6,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,1,7,6,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,6,2,4,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,7,4,6,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,5,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,3,5,8,4,7] => [7,2,3,4,5,8,1,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[6,1,2,3,5,7,4,8] => [7,2,3,4,5,6,1,8] => [2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,2,3,8,6,4,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,3,4,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,2,5,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,3,1,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[7,3,4,6,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,1,8,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,8,4,5,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,4,8,3,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,8,4,5,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,8,2,3,5,6,1,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,1,4,5,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,7,5,2,8,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,1,8,2,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,3,7,4,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,7,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,7,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,6,5,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,1,8,7,4,3,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,6,3,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,8,1,3,6,5,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,4,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,4,6,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,8,4,1,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,6,2,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,3,5,1,7,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,3,4,5,7,6,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,4,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,3,6,2,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,6,1,5,7,2,8,4] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,8,5,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,3,7,5,6] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,7,3,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,2,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,2,8,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,3,2,7,6,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,1,4,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,5,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,3,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,1,7,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,7,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,8,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,7,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,2,3,7,4,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,8,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,7,1,4,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,8,3,6,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,5,7,4,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,5,7,3,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,2,5,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,1,6,3,8,2,7,4] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[1,8,7,6,2,5,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,4,5,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,3,4,8,1,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,1,8,5,3,7,6] => [3,6,1,8,5,2,7,4] => [6,3,2,5,7,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0

[3,4,6,2,1,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,6,2,1,7,8,4] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,3,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,3,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,6,8,7,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,4,6,2,7,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,1,7,3,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,1,6,7,4,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,7,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,6,7,4,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,2,7,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,7,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,8,7,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,2,4,7,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,1,3,4,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,4,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,4,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,6,3,4,7,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,1,4,7,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,2,7,5,4,8,1,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[2,3,7,5,4,8,1,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,3,2,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,5,4,8,2,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,8,2,4,7,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,7,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,4,7,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,1,4,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,4,7,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,4,7,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,5,4,8,1,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,4,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,4,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,1,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,5,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,5,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,5,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,8,1,6,5,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,4,2,5,1,3,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,1,4,6,7] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,7,3,6,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,3,6,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,5,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,7,6,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,6,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,7,2,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,8,7,2,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,8,4,1,7,2,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,2,7,3,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,2,7,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,7,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,7,2,8,3,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,8,2,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,7,4,1,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,3,4,7,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,7,5,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,3,1,8,4,5,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,3,2,7,4,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,3,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,5,7,3,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,1,5,3,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,2,7,6,4,1,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,1,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,3,7,8,1,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,8,3,1,7,2,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,5,2,4,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,1,4,7,3,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,5,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,1,4,5,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,4,7,2,1,6,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,1,7,5,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,8,4,2,7,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,8,6,1,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,2,6,8,1,7,4] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,1,6,7,8,4] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,7,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,5,7,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,2,8,3,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,3,7,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,7,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,7,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,8,1,2,5,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,7,3,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,4,3,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,7,6,1,3,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,7,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,5,2,8,4,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,7,6,4,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,2,7,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,3,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,5,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,5,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,1,3,4,8,5] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[5,7,2,1,6,3,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,2,5,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,5,3,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,8,7,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,6,2,4,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,5,6,2,4,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,2,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,4,1,2,8,6,7,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,6,3,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,8,3,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,3,4,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,5,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,5,1,7,8,3] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,2,4,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,3,4,6,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,4,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,1,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,2,4,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,6,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,4,1,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,4,5,8,2,3,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,5,1,4,8,3,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[5,2,6,1,4,8,3,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,5,4,8,1,3,7,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[4,1,7,2,6,8,3,5] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,7,3,5,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[7,1,2,5,3,6,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,2,7,8,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,2,4,6,8,5] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,8,7,2,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,1,7,2,4,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,7,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,2,8,6,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,1,7,8,4,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,4,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,8,5,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,4,8,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,7,5,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,6,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,2,3,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,3,4,1,8,5,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,1,8,7,3,4,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,5,2,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,2,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,7,1,8,3,5,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,5,4,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,2,6,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,2,7,1,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,6,2,3,8,5,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,4,7,5,2,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,4,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,1,7,6,5,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,7,6,1,3,5,8,4] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[7,2,5,4,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,1,2,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,6,1,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,6,7,5,8,2] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,3,8,2,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,5,8,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,4,7,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,7,8,3,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,7,8,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,1,5,3,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,7,3,8,2,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,3,8,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,4,7,8,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,7,8,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,3,2,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,5,3,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,7,3,5,6] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,2,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,2,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,5,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,1,3,8,6,7,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,5,1,2,8,6,7,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,1,2,3,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,3,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,7,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,4,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,5,4,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,2,1,8,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,8,6,1,3,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,2,4,5,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,5,3,7,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,6,8,1,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,1,2,4,7,8,3,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,8,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,3,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,6,4,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,5,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,3,5,4,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,4,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,3,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,7,2,4,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,6,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,1,8,7,4,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,4,8,5,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,2,3,1,4,7,8,5] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,3,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,5,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,3,4,5,8,6] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,1,6,4,3,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,3,7,1,4,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,7,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,5,3,4,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,1,7,4,8,3,5,6] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[2,8,3,1,4,5,6,7] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,1,8,2,5,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,1,2,8,3,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,3,6,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,3,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,3,1,8,2,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,8,1,4,7,3,5,6] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,5,2,1,8,7,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,8,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,6,7,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,8,7,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,8,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,6,1,7,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,8,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,3,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,3,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,1,6,3,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,3,2,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,2,5,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,4,6,1,3,5,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,3,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,2,5,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,6,5,8,2,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,6,5,3,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,5,3,6,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,2,7,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,6,8,1,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,6,7,8,2,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,6,7,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,3,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,8,3,1,5,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,5,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,5,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,8,3,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,3,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,1,5,8,6,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,6,2,1,4,5,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,5,8,1,7,3,4,6] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[6,8,2,3,7,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,3,4,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,1,5,8,4,3,6,7] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[5,8,3,2,7,1,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,8,2,5,6,7] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,5,8,2,7,1,4,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,6,2,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,6,2,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,2,1,5,6,7] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,6,1,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,8,5,3,6,7] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,8,4,3,1,5,6,7] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,7,5,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[3,8,4,2,1,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,7,4,3,8,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,4,8,1,5,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,1,5,7,6,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,4,8,2,5,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,4,7,2,6,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,7,3,4,8,2,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[8,7,2,3,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,7,5,2,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,4,5,1,7,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,8,7,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,5,7,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,2,8,7,5,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,6,7,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,6,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,6,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,5,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,5,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,8,4,5,3,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,1,5,7,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,6,8,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,8,4,5,6,7,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,8,6,5,3,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,1,8,6,5,3,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[4,2,1,8,6,5,3,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,7,3,8,5,1,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,2,6,8,4,5,3,7] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,1,6,5,8,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,8,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,3,2,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,2,5,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,7,1,6,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,5,3,8,7,4,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,3,5,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,6,3,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,7,4,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,7,5,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,8,7,6,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[1,7,5,8,6,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,2,5,8,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,1,7,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,8,7,4,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,3,1,7,4,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,5,8,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,2,1,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,5,6,2,1,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,1,5,8,7,4,3,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,1,5,7,8,4,3,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[1,8,7,4,2,6,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,6,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,6,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,6,5,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,5,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,4,8,1,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,7,6,8,1,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,4,5,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,1,8,7,3,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[5,1,6,3,2,8,7,4] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,6,1,8,7,3,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,7,2,3,5,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,4,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,4,2,3,6,7,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,8,6,1,7,3,5,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,5,1,6,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,1,5,6,4,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,4,1,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,7,4,6,8,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,1,6,5,4,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[6,4,7,2,3,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,8,4,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,6,7,4,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,4,3,6,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,2,7,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,5,2,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,6,7,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,1,8,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,6,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,6,1,5,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,6,8,4,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,3,7,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,6,4,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,6,4,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,6,1,8,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,3,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,5,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,1,6,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,2,4,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,7,5,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,6,2,8,5,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,3,4,1,7,2,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,4,3,5,1,8,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,1,7,2,3,8,6,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,7,5,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,8,1,6,5,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,7,4,3,8,2,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,3,1,7,4,8,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,6,3,7,5] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,7,2,1,6,3,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[7,4,8,1,5,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,3,2,8,4,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[6,3,2,8,4,1,5,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,6,2,7,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,7,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,6,4,8,1,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,5,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,3,1,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,2,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,1,4,8,5,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,2,1,8,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,5,1,4,2,8,6,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,2,8,1,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,2,4,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,4,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,3,6,4,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,2,3,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,3,2,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,4,3,7,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[5,3,1,8,6,4,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,8,1,7,6,2,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,3,8,1,6,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,5,3,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,2,5,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,3,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,6,3,5,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,6,1,5,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,6,3,4,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,5,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,1,5,3,8,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,3,6,7,4,8,1,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,2,6,1,4,7,8,3] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,2,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,5,3,2,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,4,5,8,1,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,5,2,4,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,3,4,7,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,2,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,5,8,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,8,4,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,3,7,6,5,8,2] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,3,7,6,5] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,7,4,2,3,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,2,3,5,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,3,1,5,7,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,1,2,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,4,7,2,3,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,8,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,4,1,8,5,6] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,8,5,4,7,6,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,2,5,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,6,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,2,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,6,5,8,1,4,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[4,2,3,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[6,4,1,2,8,3,5,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,1,4,5,8,6] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[6,2,8,3,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,7,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,8,3,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,6,4,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,6,5,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,6,7,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,7,5,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,5,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,5,7,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,4,6,8,3,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,3,8,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,7,4,1,2,8,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,5,1,3,4,8,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,3,8,1,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,5,2,8,1,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,2,4,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,3,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,4,8,1,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,6,3,4,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,8,7,1,3,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,2,4,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,3,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,2,3,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,2,5,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,7,5,4,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,3,8,6,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,3,7,6,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,7,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,2,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,1,2,6,7,3,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,4,5,7,6,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,4,7,1,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,3,8,5,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,1,6,3,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,7,2,8,4,1,6,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,2,4,1,7,3,5,6] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[1,6,8,4,3,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,3,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,1,3,8,2,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,3,1,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,2,3,6,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,1,3,8,2,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,3,7,2,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,6,2,7,5] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,3,5,8,7,1,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[8,2,3,5,4,7,1,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,4,2,7,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,2,3,7,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,4,5,6,2,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,3,5,7,8,1,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,3,1,8,4,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,4,8,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,2,6,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,7,4,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,3,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,5,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,5,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,1,5,4,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,5,8,1,7,4,3,6] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[6,8,2,3,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,1,8,4,3,7] => [4,7,6,1,8,3,2,5] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0

[4,2,7,3,1,8,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,7,3,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,8,4,3,7,6] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[5,8,4,2,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,1,5,7,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[2,4,8,3,1,7,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,3,2,1,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,3,7,2,6,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,4,8,2,1,6,5,7] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,3,8,7,1,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,1,8,6,2,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,1,5,3,8,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,5,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,5,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,6,8,3,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,5,3,6,7] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,4,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,2,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,6,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,1,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,7,5,1,4,8,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,3,7,1,6,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,1,4,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,1,4,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,2,1,4,6,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,4,2,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,4,1,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,4,1,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,2,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,7,1,4,8,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,5,7,2,1,4,8,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,1,4,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,5,7,4,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,3,6,8,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,1,7,2,4,8,3,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,6,8,1,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,8,1,7,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,1,6,3,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,2,6,8,1,5,4,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[8,7,3,2,5,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,5,3,6,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,4,1,8,3,6,5] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,5,1,8,7,4,3,6] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,1,4,6,3,5,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,3,7,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,1,8,5,3,4,7,6] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[1,6,8,3,4,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,2,7,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,1,3,2,5,6,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,6,8,7,2,4] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,2,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,5,6,7,8,3] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[7,3,5,2,4,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,5,2,4,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,2,4,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,7,4,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,5,1,7,6,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,5,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,3,2,6,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,5,4,8,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,5,1,6,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,8,6,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,4,8,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,3,4,5,8,2,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,3,8,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,6,4,3,8,5,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,3,1,5,8,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,4,8,6,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,2,3,5,4,8,6,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,8,1,7,3] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,5,6,4,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,1,5,6,3,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,1,4,7,6,5,2,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,4,1,5,8,3,7] => [4,7,5,1,3,8,2,6] => [8,4,5,3,1,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,8,6,1,4,7,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,1,4,8,5,3,7] => [3,7,1,6,8,4,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0

[6,4,5,2,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,3,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,8,3,1,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,1,4,8,6,3,7,5] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,6,8,1,4,5,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,6,4,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,5,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,7,3,5,8,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,1,4,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,1,3,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,4,6,2,5,8,7,1] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,2,4,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,2,5,1,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[7,5,3,4,8,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,6,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,3,8,7,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,1,7,6,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,8,4,6,7,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,8,1,3,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,3,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,3,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,4,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,7,6,3,1,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,6,3,1,7,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,6,3,1,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,8,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,6,3,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,5,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,5,2,8,6,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,1,4,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,1,4,7,5,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,6,3,1,4,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,1,6,4,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,7,4,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,2,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,4,2,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,6,3,5,7,1,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,2,3,1,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,2,6,1,5,4,7,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,7,4,2,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,2,3,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,3,1,2,5,7,6] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,4,2,8,5,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,1,4,2,5,7,6,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,5,7,6,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,3,1,7,8,4] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,5,7,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,3,6,8,2,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,4,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,5,3,8,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,7,3,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,7,6,3,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,5,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,7,2,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,6,7,4,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,8,2,6,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,6,1,7,5,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,6,3,2,4,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,5,2,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,4,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,4,6,7,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,4,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,5,6,8,2,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,4,6,3,2,7,8,5] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,5,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,5,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,6,1,4,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,4,6,2,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,5,4,6,1,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,1,6,4,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,4,6,3,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,4,6,3,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,8,1,7,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,4,7,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,3,7,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,3,4,8,6,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,6,4,2,7,8,3,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,4,3,7,1,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[7,2,3,1,8,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,4,7,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,8,1,6,7,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,3,5,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,5,8,2,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[3,1,6,5,8,4,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[3,2,6,5,8,4,7,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,2,6,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,1,6,4,8,3,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,6,4,8,2,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,2,6,4,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,7,3,8,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,2,6,8,3,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,5,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,1,3,5,6,4,7] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,3,4,2,6,5,7] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,3,4,2,5,7,6] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,4,5,3,7,6] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,1,6,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,8,4,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,7,8,1,6,3] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,3,6,2,1,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,6,2,3,7,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,4,5,3,2,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,4,7,1,8,3] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[6,4,7,3,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,7,3,6,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,7,3,6,8,5] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[5,8,1,2,3,4,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,3,5,7,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,3,5,7,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,3,5,6,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,3,5,4,7] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,6,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,7,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,3,7,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,1,8,6,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,4,5,1,3,7,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,1,8,4,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,1,6,7,3,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,1,7,5,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,5,3,1,7,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,2,3,5,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,5,1,4,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,7,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,5,4,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,5,4,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,8,7,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,7,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,3,5,7,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,4,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,3,4,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,3,6,5,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,6,4,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,5,2,4,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,2,7,5,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,3,5,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,2,7,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,4,6,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,2,4,1,7,6,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,3,7,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,7,2,6,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,8,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,7,6,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,8,1,7,6,5,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,7,6,3,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,2,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,1,3,2,8,6,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,2,5,4,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,8,6,4,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,2,3,5,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,8,2,3,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,2,3,5,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,8,1,5,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,5,4,2,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,3,6,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,6,5,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,7,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,2,5,8,4,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,5,8,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,6,5,8,1,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,1,8,4,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,2,6,3,5,4,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,6,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,1,2,6,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,1,5,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,2,6,4,7,8,5,1] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,1,3,8,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,1,4,7,8,3,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,6,2,7,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,1,6,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,5,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,3,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,6,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,6,4,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,6,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,1,5,3,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,7,2,3,1,5,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,8,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,8,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,2,3,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,4,2,5,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,1,7,8,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,8,2,3,6,7] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,1,4,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,6,5,7,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,2,4,8,7,1,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,2,6,8,1,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,6,8,1,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,2,5,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,5,6,8,3,7,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,3,5,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,3,6,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,7,8,5,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,3,5,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,1,6,8,7,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,6,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,2,5,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,8,5,1,3,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,5,4,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,7,6,5,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,4,8,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,4,1,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,1,8,3,6,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,7,4,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,7,2,4,6,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,6,3,5,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,2,3,5,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,3,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,8,3,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,7,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,3,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,2,6,1,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,1,3,5,6,7] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,3,4,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,1,5,7,4,3,8,6] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[4,1,8,7,5,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,6,1,2,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,2,3,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,8,3,5,7,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[3,5,8,1,7,6,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,6,7,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[6,4,3,2,8,1,7,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,4,3,8,1,7,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,8,1,5,7,6,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,2,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,3,2,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,6,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,7,5,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,5,3,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,8,1,6,4,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,6,3,1,4,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,1,4,7,8,5,3,6] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[6,1,4,3,7,8,2,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,3,1,4,6,8,5] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,2,8,4,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,3,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,2,6,3,1,5,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,2,5,7,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,2,4,7,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,6,1,8,7,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,5,8,2,7,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,5,7,6,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,6,3,8,7,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,3,8,7,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,4,5,1,6,2,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,1,4,7,6,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,5,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,4,5,2,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,8,1,2,6,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,8,7,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,2,5,8,3,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,5,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,5,7,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,5,2,7,8,3,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,7,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,6,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,6,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,2,5,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,2,4,6,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,4,7,3,2,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,8,4,5,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,8,5,2,4,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,2,5,3,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,1,8,6,5,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,1,3,7,8,6,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,3,7,2,1,8,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,5,7,3,4,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,7,3,8,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,7,2,3,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,1,4,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,7,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,7,1,3,8,5] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,4,2,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,1,3,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,7,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,2,5,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,5,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,4,5,8,3,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,1,8,5,3,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,8,3,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,8,3,7,6,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,5,3,6,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,7,8,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,7,5,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,7,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,5,3,8,6,7,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,1,6,5,7,8,2,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,4,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,2,5,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,3,8,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,6,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,6,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,3,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,7,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,2,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,6,1,5,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,6,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,4,6,1,7,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,2,8,5,4,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,5,4,1,3,2,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,1,5,2,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,5,7,4,3,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,1,8,6,3,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,8,6,1,7,4,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,2,5,4,6,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,2,7,5,6,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,2,6,5,4,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,5,1,6,4,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,3,1,7,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,8,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,3,8,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,3,7,2,8,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,3,7,4,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,2,8,6,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,4,5,1,8,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,8,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,7,3,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,5,2,4,3,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,3,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,4,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,4,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,4,7,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,7,3,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,1,5,4,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,5,3,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,5,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,1,8,6,7,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,4,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,7,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,3,7,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,6,3,4,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[3,8,1,7,6,2,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,1,7,6,4,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,2,4,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,5,2,4,8,3,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,5,8,7,2,4,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,7,3,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,8,1,4,3,6,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,5,4,8,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,5,4,3,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,8,7,2,3,4,5,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,5,8,2,3,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,2,3,4,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,3,8,6,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[2,6,3,5,8,1,7,4] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,5,8,1,7,4] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,4,8,1,7,3] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,4,8,1,7,6,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,8,1,5,7,6,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,1,8,2,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,8,3,5,6,7,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,6,2,4,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,7,4,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,3,5,7,8,1] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,5,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,6,1,5,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[4,3,6,2,5,7,8,1] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,1,5,7,8,3] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,2,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,7,5,3,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,6,3,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,6,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,4,5,3,7,2,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,6,8,2,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,6,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,1,8,5,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[5,2,4,7,6,8,3,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,8,7,5,1,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,1,6,2,3,8,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,3,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,2,4,8,3,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,1,4,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,2,5,4,1,3,8,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,6,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,5,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,3,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,2,6,7,3,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,7,5,3,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,1,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,2,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,5,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,3,7,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,1,8,6,4,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,4,6,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,6,1,3,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,3,2,5,7,6] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,3,7,4,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,5,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,5,3,4,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,8,2,5,7,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,4,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,3,4,7,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,2,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,2,3,7,6,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,2,8,4,5,1,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,5,1,8,4,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,2,6,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,6,2,7,8,3,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,1,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,7,4,5,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,6,4,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,4,5,2,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,5,4,1,6,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,7,5,3,6,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,4,1,6,3,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,6,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,6,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,1,6,3,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,3,6,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,4,1,6,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,8,1,5,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,5,7,4,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,6,5,3,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,2,3,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,5,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,1,4,5,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,3,7,5,2,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,5,1,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,7,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,5,1,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,2,4,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,4,5,6,2,7] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,8,4,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,3,2,6,8,5] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,5,7,8,2,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,2,5,7,6,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,3,2,6,8,4,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,7,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,3,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,7,5,1,8,4,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,5,8,7,3,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,4,5,8,6,7,1,3] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,1,5,8,6,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,6,1,2,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,6,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,5,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,8,7,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,8,4,5,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,4,7,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,5,8,1,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,8,3,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,5,8,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,7,4,3,8,5] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,7,3,1,4,8,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,7,4,3,8,5] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,2,3,4,7,1,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,7,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,3,7,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,5,8,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,7,2,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,5,3,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,4,1,8,6,3,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,4,1,8,5,3,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,5,6,1,4,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,5,6,1,4,3,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,4,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,4,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,6,1,4,3,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,1,4,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,7,5,1,4,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,4,3,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,4,2,5,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,6,4,5,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,1,6,4,5,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[3,1,6,4,5,7,2,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,3,4,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,3,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,1,4,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,1,3,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,5,7,8,2,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,4,1,8,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,1,5,7,8,3,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,1,4,6,7,8,2,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,5,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,5,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,6,4,7,8,2,5] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,1,3,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,1,7,8,4,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,3,7,8,2,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,4,3,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,6,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,6,3,7,8,2,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,4,2,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,7,5,6,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,3,7,5,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,7,5,2,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,8,3,2,5,1,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,2,7,1,3,8,6,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,6,8,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,4,1,5,8,6,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,5,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,3,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,2,7,4,5,3,8,6] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,2,7,1,4,3,5,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,1,3,6,8,4,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,7,8,1,6,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,6,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,6,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,7,6,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,1,8,7,3,6,5] => [3,6,1,8,7,2,5,4] => [8,3,2,6,7,5,1,4] => {{1,4,5,6,7,8},{2,3}} => 0

[3,5,1,7,8,2,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,3,6,1,8,4,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,7,1,5,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,6,2,1,8,5,7] => [5,4,7,2,1,8,3,6] => [5,8,4,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[5,7,4,2,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,6,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,7,2,5,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,6,8,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,4,7,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,3,2,8,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[7,4,3,1,6,2,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,6,2,4,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,3,7,2,8,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[6,1,2,7,4,3,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,7,3,5,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,2,1,8,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,5,8,4,7,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,5,4,7,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,4,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,2,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,4,8,7,2,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,1,8,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,1,8,7,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,8,7,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,1,8,5,6,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,8,1,7,5,6,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,5,1,8,3,6,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,1,7,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,6,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,4,3,8,5,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,5,3,8,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,4,8,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,3,7,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,1,4,3,6,7] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,8,4,1,3,6,7,5] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,4,3,2,7,8,5] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,7,4,6,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,6,7,2,1,8,3,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,6,7,1,5,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,6,7,8,2] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,7,4,5,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,8,2,3,5,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,1,7,3,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,2,8,5,1,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,1,7,4,8,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,1,3,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,1,6,5,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,8,6,1,4,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,5,3,4,8,6] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,2,8,3,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,5,7,2,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,1,8,6,4,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,4,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,7,4,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,1,6,8,5,3,4,7] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[4,5,1,3,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,8,5,3,4,7] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,7,5,3,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,4,7,1,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,4,7,1,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,7,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,8,5,7,1] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[2,8,3,7,5,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,6,7,8,2,4,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,4,2,5,1,7,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[1,8,5,6,4,3,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,3,5,6,4,1,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,7,8,1,6,4,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,1,4,5,3,8,6] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,5,2,7,4,3,6,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,6,5,2,7,4,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,4,8,3,5,6] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,8,3,6,7,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,1,3,7,2,5,8,6] => [5,2,3,8,1,6,7,4] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[6,2,7,5,1,3,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,3,4,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[3,6,7,5,2,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,8,4,1,5,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,7,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,5,4,7,8,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,3,1,4,7,2,5,6] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,4,7,8,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,7,3,8,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,6,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,7,1,3,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,6,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,5,4,1,8,3,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,2,5,1,4,8,3,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[8,2,5,1,4,6,7,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,1,2,4,3,7,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,7,4,1,6,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,3,4,8,7,2,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,3,4,6,7,2,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,8,2,6,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[8,5,7,1,6,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,6,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,4,7,1,3,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,8,5,7,1] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,5,2,6,7,1,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,3,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,6,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,6,8,3,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,5,2,8,1,7,3,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,2,8,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,7,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,5,1,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,4,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,3,2,8,5,6] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,7,2,1,4,3,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[7,1,8,3,5,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,2,5,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,5,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,5,8,3,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,7,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,4,1,3,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,2,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,8,7,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,4,7,2,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,8,4,7,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,3,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,5,3,7,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,6,8,3,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,7,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,6,7,8,3] => [8,2,3,4,5,6,7,1] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,2,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,5,2,4,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,4,7,3,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,2,5,8,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,2,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,2,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,3,8,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,6,1,8,7,3,5] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[2,4,3,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,4,6,3,8,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,6,5,1,8,7,3] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,6,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,6,5,8,1,7,3] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[2,4,6,5,1,8,3,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,4,6,5,1,3,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,4,6,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,8,6,5,3,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,3,1,7,4,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,8,2,7,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,6,3,1,7,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,2,3,7,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,4,2,5,6,7] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,2,5,6,3,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,3,6,8,4,5] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,4,8,3,2,5,6,7] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,3,5,8,1,7,4] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,6,3,4,7,2,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,5,6,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,3,7,4,6,2,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[2,5,7,4,1,3,8,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,8,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,7,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,3,6,4,1,8,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,5,7,3,1,2,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,6,3,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,1,2,4,8,7,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,7,5,2,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,3,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,6,5,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,6,7,1,4,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,1,8,2,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[1,5,4,7,3,6,2,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,3,6,8,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,6,3,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,8,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,7,6,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,7,4,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,7,8,6,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[7,8,6,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,3,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,7,8,6,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,3,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,1,6,5,2,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[2,3,6,5,7,8,1,4] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,2,8,5,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,3,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,5,6,4,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,4,6,7,5,8,2] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,8,1,3,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[2,4,7,5,8,1,3,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,4,8,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,5,4,2,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,2,5,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,4,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,1,3,5,8,4] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[3,4,1,8,7,2,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,8,1,4,7,2,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,2,7,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,3,8,1,2,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,3,8,2,1,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,4,2,7,1,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,8,2,4,7,1,6,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,7,1,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,1,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,8,2,1,3,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,2,8,1,3,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,6,4,7,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,7,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,7,8,5,2,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,1,8,5,4,2,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,4,8,6,2,7,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,4,1,3,8,5,6] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,4,5,2,6,1,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,4,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,5,7,8,1] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,5,6,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,3,2,7,8,5] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,5,3,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,4,3,5,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,7,3,1,4,2,5,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,5,7,1,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,6,7,1,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,8,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[3,2,7,8,6,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,5,2,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,6,7,2,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,7,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,3,5,2,7,8,4] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,2,4,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,2,7,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,6,8,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,6,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,4,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,7,4,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,3,2,6,8,5] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,2,5,8,4,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,4,8,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,6,5,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,3,8,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,3,8,7,2,5,6] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,3,4,6,5,2,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,3,1,2,6,4,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,1,7,5,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,5,1,4,2,6,3,7] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,5,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,5,2,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,5,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,6,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,3,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,3,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,3,6,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,5,3,7,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,6,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,6,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,4,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,6,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,5,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,4,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,6,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,2,1,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,5,3,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,6,4,3,2,7,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,4,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,6,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,2,5,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,6,8,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,3,6,8,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,7,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,7,6,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,7,4,5,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,6,4,3,5,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,5,4,6,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,5,7,2,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,2,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,5,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,1,4,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,4,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,1,4,3,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,1,4,8,7,3,6,5] => [2,1,6,8,7,3,5,4] => [2,1,8,6,7,5,3,4] => {{1,2},{3,4,5,6,7,8}} => 0

[8,7,3,1,6,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,6,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,3,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,3,6,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,6,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,7,5,1,2,4,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,4,3,6,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,8,7,1,2,6,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,4,5,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,3,6,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,2,8,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,1,3,2,4,5,7] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,3,5,8,6,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,1,3,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,2,1,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,7,6,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,3,6,7,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,7,8,5,3,6] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,8,2,6,5,7,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,8,3,6,7,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[3,8,1,7,5,4,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,8,6,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,1,8,4,3,6] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[3,5,7,1,6,8,2,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,4,7,6,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,6,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,7,6,4,3,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,8,1,7,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,7,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,4,7,6,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,5,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,1,6,7,5,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,1,4,5,6,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,6,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,6,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,3,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,1,6,5,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,1,3,6,8,5,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,7,1,3,8,4,6,5] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[3,8,7,1,4,5,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,2,1,8,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,4,6,2,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,4,6,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,7,6,1,2,8,5] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,4,5,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,1,6,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,1,4,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,5,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,7,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,1,6,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,5,3,1,6,4,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,5,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,7,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,4,1,2,5,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,2,3,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,2,5,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,6,4,2,5,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,8,5,3,2,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,2,7,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,1,6,8,7,3] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,7,8,6,2,4,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,3,1,2,5,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,5,3,1,2,4,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,5,6,2,4,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,8,4,1,5,2,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,5,3,4,6,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,2,5,7,4,6,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,4,8,5,6,7,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,5,6,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,5,4,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,5,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,3,5,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,7,2,3,4,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,2,3,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,2,5,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,2,1,8,4,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,1,6,4,3,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,3,8,7,5,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,3,4,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,7,2,8,5,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,5,7,8,2,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,3,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,1,6,8,7,3] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,7,8,5,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,1,2,5,3,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,3,8,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,5,1,8,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,1,2,4,3,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,1,5,3,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,3,2,8,7,1,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,8,3,2,7,1,6,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,8,7,2,6,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,4,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,2,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,8,1,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,5,8,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,5,7,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,1,6,8,4,7,3] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,6,7,5,8,2,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,3,8,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,3,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,5,3,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,5,3,6,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,3,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,6,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,6,8,3,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,3,6,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,7,6,2,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,3,2,4,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,7,6,1,8,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,2,8,4,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,6,2,8,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,3,8,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,8,5,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,2,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,2,8,7,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,2,8,3,7,4] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,6,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,7,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,4,8,2,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,7,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,1,4,2,8,5,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,6,4,8,3,7,5] => [2,1,8,6,7,4,5,3] => [2,1,6,8,7,4,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[1,5,7,8,3,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,5,7,8,3,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,6,7,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,3,6,5,1,7] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[8,1,6,2,3,4,7,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,5,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,4,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,6,7,8,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,7,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,5,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,3,5,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,8,4,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,7,4,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,8,3,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,8,5,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,7,6,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,8,5,1,7,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,1,5,8,6,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,4,8,3,7,5] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,5,6,8,7,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,4,5,7,3,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,6,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,3,7,4,8,5,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,2,7,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,7,2,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,7,6,3,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,1,8,7,6,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,6,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,7,4,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,4,8,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,5,2,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,3,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,7,2,3,5,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,1,4,5,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,2,6,4,8,7,5,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,3,8,2,5,7,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,8,7,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,3,6,8,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,8,3,5,7,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,4,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,1,3,5,6,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,8,1,5,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,5,3,7,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,5,3,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,2,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,2,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,2,7,5,6,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,7,6,4,8,5,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,5,8,4,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,3,5,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,2,3,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,1,4,3,8,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,7,4,2,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,4,1,3,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,6,5,3,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,8,6,4,7,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,3,2,4,6,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,1,7,4,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,1,7,5,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,4,8,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,2,7,8,4,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,8,1,2,5,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,5,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,3,7,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,2,3,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,6,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,2,8,3,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,8,1,3,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,6,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,4,6,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,4,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,5,8,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,3,4,7,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,5,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,5,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,8,4,2,5,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,7,5,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,3,6,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,8,6,3,5,7] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,5,3,2,1,4,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,4,2,6,8,5] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,6,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,3,6,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,3,5,7,8,4,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,6,3,2,7,8,4] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,7,5,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,7,2,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,5,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,4,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,4,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,3,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,3,2,8,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,7,6,1,5,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,4,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,3,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,5,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,2,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,2,5,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,2,5,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,6,1,4,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,7,3,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,5,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,3,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,8,1,3,4,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,3,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,3,8,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,5,8,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,3,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,5,8,3,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,5,6,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,4,7,8,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,3,7,6,8,1,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,2,6,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,4,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,2,4,6,1,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,2,4,6,7,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,3,6,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,3,8,1,7,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,2,4,6,7] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,1,3,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,6,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,2,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,1,8,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,6,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,5,2,4,8,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,5,6,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,7,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,4,2,3,5,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,3,4,2,5,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,4,6,3,8,5] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,8,4,5,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,3,4,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,5,6,2,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,8,1,6,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,2,6,4,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,3,6,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,6,4,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,7,5,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,6,7,4,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,2,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,6,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,1,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,1,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,6,7,3,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,2,5,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,5,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,1,6,5,7] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,1,2,5,8,4,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,2,8,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,2,5,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,3,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,2,4,7,6,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,6,2,1,8,3,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,1,7,3,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,6,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,3,2,8,5,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,4,7,2,6,8,5,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,3,5,7,1,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,3,6,8,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,4,5,1,6,7] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,1,6,5,7] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,2,6,1,5,8,7,3] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,1,8,5,7,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,4,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,3,8,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,8,4,1,3,7,6,5] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,3,5,8,7,6,2] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,6,3,7,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,5,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,4,7,1,8,3] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,8,3,4,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,5,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,2,6,7,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,6,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,1,4,5,2,8,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,6,5,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,5,7,6,8,2,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,3,6,4,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,3,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,7,3,6,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,6,2,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,1,4,6,5,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,3,7,2,5,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,4,8,5,3,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[5,2,1,4,8,6,3,7] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,8,3,7,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[8,3,7,2,6,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,7,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,3,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,5,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,2,5,3,8,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,3,7,4,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,3,8,5,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,4,3,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,3,8,6,1,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,1,7,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,7,4,1,6,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,5,2,4,8,6,3,7] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,3,1,5,2,7,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[4,7,8,1,5,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,1,8,4,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,3,8,5,6,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,6,2,7,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,8,1,5,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,1,3,6,8,5] => [4,8,5,1,3,6,7,2] => [6,4,5,3,1,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,5,4,7,1,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[2,6,1,4,8,3,7,5] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,6,1,4,8,7,3] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,4,2,3,7,1,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,4,8,7,3,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[1,8,5,6,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,2,1,8,5,4,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,2,1,8,4,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[6,7,2,4,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,1,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,6,7,4,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,6,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,5,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,8,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,4,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,1,5,4,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[3,2,7,6,5,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[1,7,3,4,5,8,2,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,4,5,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,4,5,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,2,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,3,5,2,1,6,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,2,1,3,6,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,7,2,6,8,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,5,4,7,8,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,6,8,5,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,6,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,2,1,4,7,8,5] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,4,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,2,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,1,4,3,7,2,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,1,3,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,7,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,6,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,7,6,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,2,6,4,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,2,4,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,3,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,7,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,6,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,2,8,5,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,6,3,8,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,5,6,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,5,8,7,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,7,8,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,3,1,8,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,1,4,2,5,8,7,3] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,6,4,2,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,4,8,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,4,1,3,2,6,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,3,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,7,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,1,3,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,8,5,1,4,2,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,3,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,3,6,4,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,4,2,3,5,7,6] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,7,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,5,4,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,5,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,3,4,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,2,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,4,3,6,2,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,3,4,5,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,1,4,6,2,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,4,3,1,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,7,1,3,2,8,5,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,5,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,4,2,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,5,8,4,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,7,1,5,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,1,5,8,3,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,6,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,2,7,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,2,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,3,4,5,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,2,4,6,3,7] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,6,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,3,1,2,4,6,7,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,5,6,4,2,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,4,3,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,5,4,3,7] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[3,5,8,2,1,4,7,6] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,1,8,3,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,2,6,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,6,4,5,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,2,5,3,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,3,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,1,7,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,8,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,4,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,3,7,4,1,8,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,4,5,1,8,6,3,7] => [4,7,3,1,8,6,2,5] => [4,3,7,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,5,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,3,7,8,2,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,6,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,1,3,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,5,8,3,4,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[7,1,4,5,8,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,7,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,7,3,4,2,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,4,5,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,3,4,6,1,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,6,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,2,8,5,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,3,2,5,1,8,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,3,7,8,2,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,1,8,6,2,5,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,7,4,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,3,5,8,7,4,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,6,8,4,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,1,8,7,6,3,5] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[4,1,3,5,6,2,8,7] => [6,2,3,4,5,1,8,7] => [2,3,4,5,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,3,5,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,4,6,1,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,3,8,1,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,8,2,7,6,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,2,1,4,6,3,7,5] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,7,1,2,6,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,1,6,3,7,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,8,1,3,2,5,6,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,5,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,8,5,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,7,6,8,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,7,6,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,6,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,3,1,5,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,8,4,1,7,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,4,2,8,6,3,5,7] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,6,3,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,3,4,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,5,2,1,8,4,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,7,3,4,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,7,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,4,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,1,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,4,5,3,6,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[3,5,6,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,5,2,6,7,4,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[8,5,6,1,4,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,4,7,8,3,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,6,1,3,2,5,7,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,2,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,8,4,5,3,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,8,4,1,3,6,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,1,3,2,7,4,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,7,8,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,5,8,1,6,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,3,7,5,6,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,5,6,8,2,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,5,2,8,7,3,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,2,3,1,7,8,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,6,8,4,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,4,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,2,4,8,5,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,2,4,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,4,6,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,5,6,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,2,3,8,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,1,5,8,4,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,2,4,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,2,4,3,6,7] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,4,6,3,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,5,3,7,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,6,2,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,2,8,1,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,4,6,5,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,4,2,3,5,8,6] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,2,3,6,4,7] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,8,5,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,7,6,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,7,5,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,6,3,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,7,5,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,6,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,7,5,4,1,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,5,2,4,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,4,1,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,4,5,2,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,3,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,3,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,6,8,5,3,7] => [1,2,7,6,8,4,3,5] => [1,2,7,8,6,4,5,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,4,3,8,7,1,6,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[1,5,8,7,4,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,2,3,6,1,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,1,8,5,2,7,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,3,2,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,8,5,2,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[8,3,2,1,4,7,5,6] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,7,8,2,5,6,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,2,4,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,2,4,7,8,6,3] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,8,6,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,2,4,6,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,4,5,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,6,4,5,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,2,7,3,4,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,2,5,3,4,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,2,5,3,4,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,3,7,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,4,6,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,8,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,2,5,3,4,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,6,2,1,5,8,7] => [5,4,6,2,1,3,8,7] => [5,6,4,2,3,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,8,3,5,1,4,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,3,1,4,6,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,3,7,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,2,8,1,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,1,4,6,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,4,7,1,6,3,8,5] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[2,4,8,3,1,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,6,5,1,2,4,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,4,8,3,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,4,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,2,5,3,6,7] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,4,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,3,1,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,3,2,6,7] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,5,2,1,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,4,3,1,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,4,1,3,6,8,5] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,5,7,1,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,1,6,3,5,7,8,4] => [2,1,8,4,5,6,7,3] => [2,1,4,5,6,7,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[1,4,6,5,2,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,8,3,6,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,7,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,6,4,7,3,8,5] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,6,1,8,5,4,3,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[6,4,7,5,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,5,8,4,3,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[7,5,6,2,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,7,4,5,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,3,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,7,8,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,1,8,6,7,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,3,5,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,1,6,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,3,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,5,7,3,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,3,4,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,7,4,3,2,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,8,4,5,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,5,3,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,2,1,6,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,7,6,3,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,5,8,7,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,3,8,7,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,6,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,7,5,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,4,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,2,4,5,6,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,8,4,6,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,8,6,2,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,3,2,4,1,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,3,6,8,4,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,4,6,5,7,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,2,3,8,4,7,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,7,4,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,5,2,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,5,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,2,3,7,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,5,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,4,1,5,2,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,7,1,4,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,2,3,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,8,5,2,1,7,3,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,6,4,1,7,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,8,4,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,8,7,4,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,3,2,5,6,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,3,6,8,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,3,6,5,1,8,7,4] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,3,1,2,6,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,6,1,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,8,7,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,1,3,8,7,6,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[7,3,1,2,8,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,7,2,5,4,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,4,6,3,5,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[2,4,8,3,1,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,5,8,4,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,3,1,4,6,7] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,5,7,4,6] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[3,6,8,2,5,1,4,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,5,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,5,8,7,6,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,5,2,4,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,7,5,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,6,3,2,7,5,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,6,3,5,2,7,4,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[6,4,7,1,5,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,2,6,5,7,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,7,1,4,8,2,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[6,5,7,1,4,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,1,2,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,3,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,8,2,6,3,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,8,2,6,4,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,3,4,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,5,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,8,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,5,2,8,1,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,2,1,8,5,3,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,2,6,1,5,8,3,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[1,8,7,4,5,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,3,1,4,5,7,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,2,8,4,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,3,2,1,5,6,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,7,8,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,1,8,7,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,3,7,2,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[7,2,8,1,4,5,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,4,8,2,5,6,7,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,5,3,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,6,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,1,6,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,4,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,5,2,8,1,7,4] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,8,7,4,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,6,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,2,3,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,7,2,5,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,2,5,8,3,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,2,3,6,7,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,4,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,8,3,7,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,6,4,5,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,1,5,4,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,3,4,6,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,3,7,2,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,4,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,4,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,3,7,8,2,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,2,3,4,7,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,3,8,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,3,4,7,8,5] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[4,2,5,8,7,3,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,1,4,3,8,7,2,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,1,8,7,6,3,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[1,6,2,4,8,5,7,3] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,5,3,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,5,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,4,8,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,6,3,4,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,5,3,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,6,2,8,4,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,3,6,5,4,8,1,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[3,7,5,4,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,7,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,7,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,4,7,5,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,4,8,1,2,7,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,7,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,7,4,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,2,8,1,6,7,5,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,6,2,4,7,5,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,4,7,6,3,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,3,6,7,1,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,6,8,3,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,8,6,2,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,6,3,8,4,7,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,1,6,8,3,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,1,8,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,4,3,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,5,6,8,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,7,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,6,7,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,5,8,7,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,6,5,7,3,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,7,5,8,6,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,6,1,2,3,5,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,2,1,4,6,3,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,3,8,5,4,6] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[8,2,3,1,6,7,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,1,6,8,3,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,3,2,5,6,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[3,8,4,5,7,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,1,8,7,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,1,2,5,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,8,7,3,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,3,7,4,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,6,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,1,5,8,7,3] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,6,5,2,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,4,7,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,5,2,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,5,2,8,7,4] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,1,7,4,2,6,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,1,7,4,3,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,3,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,7,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,8,3,5,6,4,7] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,1,5,2,8,7,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,3,5,7,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,5,4,7,2,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[4,2,5,1,8,7,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,1,5,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,3,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,1,8,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,1,6,7,3,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,1,6,5,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,6,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,3,5,7,8,4] => [1,8,3,4,5,6,7,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,7,2,6,4,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,2,1,3,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,6,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,3,7,6,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,3,8,7,2,6,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,1,3,6,2,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,3,7,5,6,2,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,4,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,3,7,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,3,8,6,2,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,6,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,6,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,4,8,3,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,6,2,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,1,6,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,2,4,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,8,2,6,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,5,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,2,8,5,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,3,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,1,6,2,5,7,8,4] => [4,2,8,1,5,6,7,3] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[1,6,4,5,2,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,4,7,3,2,5,6,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,2,4,6,8,3,7,5] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[8,1,4,3,6,7,2,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,2,6,4,3,7] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,8,4,3,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,2,3,6,8,5] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,1,6,4,2,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,6,3,4,7,8,2,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,5,7,6,2,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,7,6,5,2,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,1,8,6,2,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,7,6,3,1,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,3,1,8,6,2,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[1,7,4,8,3,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,8,1,4,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,7,2,8,4,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,8,6,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,7,8,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,8,7,6,3,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,3,6,2,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,1,5,8,2,7,4,6] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,1,8,5,4,6,2,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[3,1,6,8,5,7,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,5,2,6,3,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,1,8,4,5,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,3,5,8,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,4,8,5,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,3,7,6,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,6,8,2,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,7,5,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,5,1,8,7,6,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,6,2,7,8,1,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,2,5,6,8,4,7,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,4,5,2,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,4,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,3,2,4,7,8,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,7,3,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,1,6,8,2,5] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,6,8,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,2,5,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,1,3,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,8,3,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,7,8,2,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,1,8,3,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,2,1,7,8,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,6,2,3,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,1,8,5,4,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,2,3,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,8,6,1,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,3,2,5,8,4,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,2,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,1,3,4,7,6] => [4,6,8,1,5,2,7,3] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0

[3,5,1,8,7,4,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,6,1,3,8,2,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,6,7,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,8,7,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,1,8,6,4,2,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,1,5,2,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,1,4,7,5,3,8,6] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[4,7,3,6,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,3,8,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[6,7,5,2,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,6,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,7,1,3,4,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,3,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,5,7,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,8,1,5,4,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,8,1,4,5,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,5,3,8,4,7,2] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,2,7,4,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,1,4,3,7,6] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[8,3,4,5,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,6,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,8,3,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,5,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,2,8,5,1,6] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,3,7,6,8,5,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,6,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,2,8,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,3,8,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,2,7,6,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,7,3,2,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,7,8,2,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,2,6,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,3,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,5,6,4,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,3,8,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,5,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,3,7,5,6,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,7,3,2,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,1,3,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,8,1,6,3,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,4,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,3,8,6,4,5,7,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,6,4,7,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,1,8,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,3,8,5,7,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,6,7,5,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,6,4,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,1,8,6,4,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,7,8,1,4,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,5,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,6,7,3,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,4,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,5,7,8,4,2] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,1,5,8,7,6,2] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,1,6,7,3,2,8,5] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,1,8,7,3,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,5,7,8,1,6] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,2,6,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,8,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,7,6,3,5,8,4] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,2,7,5,6,1,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,3,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,1,8,2,6,5] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,4,5,1,6,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,4,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,4,8,5,7,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,8,3,6,5,7,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,3,4,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,5,7,3,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,8,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,6,3,5,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,5,8,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,2,3,8,6,5] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,7,5,6,8,1,2,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,8,6,7,1,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[4,6,7,2,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,2,7,8,1,5,6] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,8,5,2,4,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,1,4,2,5,8,6,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,2,4,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,4,3,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,8,7,4,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,7,6,3,1,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,2,7,8,1,3,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,4,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,4,2,5,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[5,1,3,6,2,4,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[1,5,7,6,8,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,1,3,8,4,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,5,6,3,7,8,4,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,3,7,8,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,3,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,5,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,4,7,6,8,1,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,5,4,1,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,3,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,1,3,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,5,1,3,2,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,3,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,3,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,7,2,4,5,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[8,3,7,2,6,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,4,2,7,8,5] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,3,8,4,2,7,6] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,4,7,3,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,6,3,1,8,4,7] => [5,7,4,3,1,8,2,6] => [5,4,8,1,3,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,5,1,2,7,8,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,4,5,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,4,1,5,8,2,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,4,1,7,2,5,6] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,2,4,1,3,6,7,5] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,6,1,3,7,2,8,4] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,1,2,8,4,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,8,1,6,4,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,3,8,6,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,8,5,6,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,6,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,5,6,4,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,8,6,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,3,5,6,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,5,3,4,7,6] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,7,6,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,8,5,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,4,8,5,7,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,5,2,7,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,3,7,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,2,3,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[3,8,1,6,4,2,5,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,3,2,1,8,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,5,7,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,3,7,4,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,3,1,7,4,5,6] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,7,6,3,8,4] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[4,3,5,1,7,8,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,2,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,5,6,4,8,1,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,3,6,4,1,7,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,6,5,1,7,4,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,1,7,5,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,7,6,8,3,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,2,3,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,5,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,6,5,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,8,7,2,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,5,6,8,4,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,5,1,8,6,7,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,2,8,6,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,5,3,4,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,6,7,1,2,5,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,8,4,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,6,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,7,5,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,7,5,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,7,1,5,6,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,5,6,2,8,1,7,4] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[3,1,4,6,8,2,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,8,2,5,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,5,7,8,4,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,7,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,5,2,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,8,4,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,1,4,5,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,3,8,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,6,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,1,4,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,2,5,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,2,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,3,7,5,2,6,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,6,3,2,7,5,8] => [5,2,7,4,1,6,3,8] => [2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,4,1,3,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,7,4,1,3,6,8] => [5,6,7,4,1,2,3,8] => [6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,5,3,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,5,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,6,4,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,3,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,5,8,3,2,6,7] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,2,7,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,3,6,7,8,1] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,2,4,7,3,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,2,8,3,6,5,4,7] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,8,6,5,2,4,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,2,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,3,4,7,8,2] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,2,1,6,5,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[7,1,2,4,6,3,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,5,3,8,4] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,1,2,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,7,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,7,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,5,8,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,7,5,8,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,7,8,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,7,5,4,6] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,6,1,2,4,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,5,3,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,8,7,5,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,1,2,4,6,5,7] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,3,1,2,4,5,7,6] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,4,8,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,5,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,5,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,4,8,2,7,3] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[6,2,5,4,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,1,3,4,6,7,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,2,1,3,5,4,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,5,6,1,3,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,5,6,1,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,6,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,7,3,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,1,4,8,3,6] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,6,8,4,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,1,5,7,4,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[2,5,7,1,6,3,8,4] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[3,6,5,7,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,6,5,3,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,6,1,2,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,6,5,2,7,3,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,6,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,8,2,1,4,6,7] => [5,6,8,4,1,2,7,3] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,2,1,4,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,1,4,3,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,8,2,4,6,3,1,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,3,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,1,4,6,2,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,5,8,4,6,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,4,6,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,4,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,4,5,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,6,4,2,3,5,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,6,2,4,5,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,2,4,5,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,6,7,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,1,6,3,5,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,4,2,1,5,3,7,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,2,1,4,7,3,6,5] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,6,2,5,8,4,7,3] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,1,7,8,5,2,6] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[2,8,5,3,6,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,5,3,6,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,5,6,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,5,3,4,7] => [4,7,8,1,6,5,2,3] => [7,6,4,3,8,1,5,2] => {{1,2,5,6,7,8},{3,4}} => 0

[3,2,5,6,8,1,4,7] => [6,2,7,4,8,1,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,8,1,6,4,5,2,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,1,3,6,5,4,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,8,6,3,7,5] => [1,2,6,8,7,3,5,4] => [1,2,8,6,7,5,3,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[1,8,6,4,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,5,1,7,4,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,6,4,7,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,8,6,3,7,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,1,6,2,5,7] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,4,3,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,1,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,2,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,4,2,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,3,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,3,2,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,3,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,1,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,1,3,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,7,4,8,5,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,3,7,4,8,1,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,5,4,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,1,8,5,3,4,7] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[8,4,5,3,7,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,4,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,7,3,5,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,3,5,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,1,4,3,7,6,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,1,3,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,2,6,3,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,1,4,6,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,6,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,4,8,1,7,3] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[4,5,2,1,6,7,8,3] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,5,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,4,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,1,4,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,1,2,4,7,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,5,1,7,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,2,1,7,6,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,4,2,1,7,6,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,6,2,4,8,1,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,8,2,4,6,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,2,6,8,3,7,4] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,7,8,3,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,1,3,4,6,7] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[3,7,6,5,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,8,6,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,7,8,3,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,8,2,3,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,1,8,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,3,1,2,6,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,5,6,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,3,2,4,8,5,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,7,8,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,2,5,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,1,8,5,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[1,8,5,4,7,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,3,8,6,5,1,7] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,1,4,5,8,6,2,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,3,2,8,4,6] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[5,7,8,1,3,2,4,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,1,6,7,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,7,4,8,3,6,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,8,6,1,3,5,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,4,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,1,2,7,8,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,2,8,7,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,4,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,6,2,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,5,1,6,7,3,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,2,1,3,8,4,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,4,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,5,6,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,3,4,6,8,1,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,7,5,6,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,3,5,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,1,5,6,4,2,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,7,6,4,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,1,5,3,7,8,6,4] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[8,1,4,2,6,5,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,6,4,3,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,7,4,1,3,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,8,4,5,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,4,5,6,8,3] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,7,1,4,5,6,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,6,4,2,5,7,8,3] => [1,8,5,4,3,6,7,2] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,5,6,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,4,7,8,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,6,3,8,2,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,6,1,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,5,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,2,6,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,6,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,5,4,7,2,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,7,6,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,5,1,4,8,7,3] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,4,7,1,3,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,3,2,7,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,1,5,4,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,6,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,1,8,5,2,4,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[6,1,2,4,7,3,5,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,8,1,6,5,7,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,6,1,4,8,3,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,1,7,2,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,6,4,7,8,2,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,5,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,7,2,6,3,8] => [1,7,5,6,3,4,2,8] => [1,5,7,6,3,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,4,7,5,8,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,3,8,1,6,5,7,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,8,7,1,4,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,1,3,4,8,7] => [6,4,5,2,3,1,8,7] => [4,6,5,2,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[2,6,5,1,3,4,8,7] => [4,6,5,1,3,2,8,7] => [6,4,5,3,1,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,1,5,6,2,4,3,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,8,2,7,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,7,1,8,4,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,8,4,6,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,5,7,4,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,8,2,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,8,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,6,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,8,1,6,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,8,1,7,6,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,7,3,4,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,8,1,4,3,7,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,7,3,5,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,3,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,6,8,4,2,5,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,8,1,3,4,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,2,4,8,3,7,5] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,4,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,4,6,2,7,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,4,1,6,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,8,1,3,7,6,2,5] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,2,4,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,3,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,4,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,4,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,1,8,3,5,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,1,6,8,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,3,2,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,7,8,6,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,7,4,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,6,1,8,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,8,1,6,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,5,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,4,8,5,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,3,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,7,3,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,6,3,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,2,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[7,5,2,1,4,6,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,6,3,4,2,7,5,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[7,2,8,1,4,6,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,8,1,5,6,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,2,3,1,5,4,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,8,2,3,1,6,4,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,7,2,1,4,6,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,3,4,2,7,5,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,1,3,5,8,4,6] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,6,7,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,6,3,4,5,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,1,3,6,7,8,4] => [8,3,2,4,5,6,7,1] => [3,4,1,5,6,7,8,2] => {{1,3},{2,4,5,6,7,8}} => 0

[6,1,5,2,7,8,4,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,1,5,8,4,7,3] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,5,7,3,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,2,3,6,4,7,5] => [8,2,3,4,7,6,5,1] => [2,3,4,6,7,8,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,3,5,7,2,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,3,6,1,5,7,8,2] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,4,6,7,8,2] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,3,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,2,1,3,7,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,4,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,3,4,6,2,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,2,7,5,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,1,5,7,3,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,2,7,4,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,7,3,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,4,3,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,6,7,8,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,6,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,5,2,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[1,7,6,3,8,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,3,4,6,2,7] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,8,1,5,4,2,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,2,5,1,6,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,1,5,6,4,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,1,3,2,7,5,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,6,4,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,4,3,8,1,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,5,3,8,1,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[1,7,6,8,4,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,4,1,5,2,6,7,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,1,5,4,7,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,8,7,5,4,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,1,4,7,6,2,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,4,5,2,7,3,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,5,8,2,7,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,3,8,7,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,3,6,5,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,1,2,6,3,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,5,1,4,7,3,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,6,5,7,8,1,3] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,6,7,5,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,4,5,6,8,7,1,3] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,6,8,3,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,3,4,1,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,1,2,7,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,2,5,3,7,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,8,5,2,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,1,8,7,6,2,5] => [7,3,2,8,6,5,1,4] => [3,7,1,6,8,2,5,4] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,5,7,4,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,4,5,7,1,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,7,8,5,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,2,3,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,1,6,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,1,7,5,6] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[6,7,2,5,8,4,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,8,2,5,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,7,1,5,8,2] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,4,3,5,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,5,8,1,3,7,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[6,3,1,5,8,4,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,5,6,1,4,7] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,3,6,4,2,7,5,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[4,3,2,5,7,8,1,6] => [7,3,2,4,8,6,1,5] => [3,4,1,7,6,8,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[2,5,4,7,3,8,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,8,7,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,2,4,5,8,1,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[3,6,5,1,7,2,8,4] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[7,4,1,6,2,8,5,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,1,6,2,7,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,3,6,5,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,3,7,2,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,5,4,1,6,3,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,2,4,8,5,3] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,8,3,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,4,6,5,2,7] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,8,5,3,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,6,7,1,4,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,8,6,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,6,3,2,7,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,4,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,5,2,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,2,8,1,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[1,7,8,6,3,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,2,4,5,6,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,4,6,7,2,1,5,8] => [6,5,7,4,2,1,3,8] => [5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,6,7,1,4,3,8,5] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[4,2,5,3,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,4,8,5,6,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,4,6,1,3,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,5,3,8,7,4,1,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,5,2,8,3,7,1,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,6,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,6,4,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,3,1,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,3,8,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,7,4,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,2,8,7,4,5,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,3,7,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,3,7,8,1,2,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,7,1,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,6,3,8,7,2] => [8,2,5,4,3,7,6,1] => [2,4,5,7,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,5,4,6,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,1,8,2,7,3] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,1,3,5,4,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,5,4,1,8,3,7,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,8,7,3,4,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,1,5,2,8,4,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,3,6,2,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,2,4,7,3,6,5] => [1,8,3,6,7,4,5,2] => [1,3,6,8,7,4,2,5] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,5,7,3,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,2,8,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,8,6,2,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,6,2,5,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,4,2,5,7,3,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[7,1,4,2,6,8,3,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,1,3,2,5,4,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,2,8,1,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,2,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,8,7,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,7,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,3,5,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,5,3,2,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,7,5,2,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,1,2,7,4,3,6] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,8,2,4,5,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,7,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,8,4,5,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,6,2,4,8,3,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,2,7,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,8,3,1,2,5,4,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,5,1,8,7,3,4,6] => [3,7,1,8,6,5,2,4] => [7,3,2,6,8,1,5,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,4,7,3,6,8,2,5] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,2,6,7,4,5,8,3] => [1,2,8,6,5,4,7,3] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,4,1,8,3,2,5,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,7,4,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,8,4,1,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[1,6,8,4,7,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,7,2,6,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,5,7,4,6,8,3] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,4,7,5,3,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,4,6,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,2,4,7,8,6,3,5] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[4,8,1,2,6,3,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,2,3,8,6,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,4,7,3,5,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,3,2,4,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,3,8,5,4,6] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[2,1,7,3,8,6,4,5] => [2,1,8,4,7,6,5,3] => [2,1,4,6,7,8,3,5] => {{1,2},{3,4,5,6,7,8}} => 0

[3,8,4,1,5,2,7,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,1,7,8,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,1,6,2,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[6,2,7,1,5,8,4,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,2,8,3,7,5] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,6,7,2,5,8] => [6,2,3,7,5,1,4,8] => [2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,3,7,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,6,1,4,7,2,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,3,2,4,7,1,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,2,6,5,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,3,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,5,3,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,6,8,4,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,4,3,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,5,3,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,4,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,1,4,8,3,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,3,4,5,1,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,1,2,4,3,8,6] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,4,2,3,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,4,8,6,1,7,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,2,6,5,7,8,1,4] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,5,6,8,1,4] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[6,1,5,8,4,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,8,5,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,5,1,6,4,3,7] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,7,1,8,3,6,5] => [4,6,8,1,7,2,5,3] => [8,6,4,3,7,5,1,2] => {{1,2,5,6,7,8},{3,4}} => 0

[6,1,5,4,2,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,1,6,3,5,2,4,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,3,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,6,5,1,8,4,7] => [5,2,7,4,1,8,3,6] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0

[4,5,8,1,6,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,6,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,5,7,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,6,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,7,8,1,4,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[7,2,5,6,3,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,5,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,4,2,8,1,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,2,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,4,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,8,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,5,7,3,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,5,2,8,3,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,4,5,3,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[2,8,3,7,6,1,5,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[4,6,5,3,8,1,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,2,8,7,4,6,5,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,1,7,6,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,2,5,7,1,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,5,2,6,8,3,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,8,1,3,6,7,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,4,7,8,2,6,5] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,6,7,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,6,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,7,6,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,7,4,2,6,8,1] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,6,7,3,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,1,5,3,6,7] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[8,4,1,3,5,2,6,7] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,5,1,8,7,6,3] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,6,7,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,2,5,4,1,3,7,6] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,8,6,3,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[5,4,8,2,3,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,7,6,8,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,1,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,5,2,7,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,7,2,4,1,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,6,5,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,1,4,7,8,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,7,8,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,5,7,2,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,5,2,7,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,3,8,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,3,8,1,4,7,6] => [5,6,3,8,1,2,7,4] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0

[3,1,7,4,8,6,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,3,8,5,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[8,7,3,2,5,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,6,2,4,8,3,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,1,4,3,6,5] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,1,8,5,3,4,6,7] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[2,5,6,3,8,1,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[7,4,5,6,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,8,1,4,5,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,5,6,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,6,2,5,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,6,4,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,5,7,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,1,7,8,4,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,2,3,5,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,4,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,4,8,1,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[3,6,5,4,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[3,5,2,4,8,7,6,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,3,6,8,4,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,2,3,1,6,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,2,8,1,3,6,7,5] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,4,6,3,1,2,5,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,1,3,7,2,5,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,5,1,4,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,6,5,7,1,8,3] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[4,2,6,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,7,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,2,6,5,3,7] => [7,8,3,4,6,5,1,2] => [4,3,6,7,8,1,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,5,4,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,6,8,7,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,8,1,4,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,8,1,4,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,5,8,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,2,6,1,4,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,1,8,3,7,6] => [4,6,3,1,8,2,7,5] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[7,3,5,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,7,6,8,5,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,3,7,8,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[2,3,5,8,1,6,4,7] => [5,2,7,8,1,6,3,4] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0

[1,7,4,5,8,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,2,6,7,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,2,7,8,3,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,5,8,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,7,8,5,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,2,3,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,6,5,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,2,7,1,6,4,3,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,5,4,1,6,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,5,2,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,5,7,6,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,5,1,8,7,3,4] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,2,3,5,7,4,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,3,8,4,7,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,5,2,4,7,3,6] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,4,2,3,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,4,1,5,7,8,3] => [8,4,5,2,3,6,7,1] => [4,6,5,2,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,3,8,1,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,8,1,7,4,6,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,5,6,4,8,1,3,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[2,7,8,1,4,5,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,2,8,7,3,6,5] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,2,7,4,5,1,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,6,2,3,5,4,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,1,3,5,4,7] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,8,1,7,5,6,2] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,3,7,6,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,1,4,5,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,6,1,5,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,7,1,3,4,6,5] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,4,2,3,7,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,6,4,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,2,3,8,4,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,2,3,7,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,3,7,6,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[6,3,5,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,5,1,8,4,7,2] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,5,4,8,6,3,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[3,5,4,8,2,6,1,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,5,1,8,6,2,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,4,8,1,6,2,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,3,5,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,7,2,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,5,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,2,1,6,8,3] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,6,8,3,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,6,1,2,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,3,5,6,2,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,2,3,6,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,2,4,8,1,6,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,2,4,6,1,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,2,8,6,1,5,7] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[3,7,6,2,5,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,2,4,1,3,8,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,8,3,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[1,4,6,8,7,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,2,7,5,3,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,5,8,2,3,6,4,7] => [1,7,8,4,5,6,2,3] => [1,5,4,6,7,8,3,2] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,1,5,7,2,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,1,5,7,3,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,7,3,8,5,6,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[7,4,1,6,3,8,2,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,3,1,4,5,8,6] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,5,6,8,2,7,1] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,8,2,4,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,6,1,3,8,7,4] => [4,8,5,1,3,7,6,2] => [7,4,5,3,1,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[7,2,5,6,1,3,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,3,5,7,1,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,7,3,5,2,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,5,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,3,7,5,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,3,6,4,1,7,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,1,8,7,3,2,6,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,3,4,8,2,1,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[5,2,7,6,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,7,4,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,5,8,2,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,8,2,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,4,7,5,6,1] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,3,6,2,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,4,3,6,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,3,6,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,1,7,2,4,3,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[2,5,7,3,8,1,4,6] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,5,3,7,6,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,1,3,8,4,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,4,2,7,8,3,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,4,6,8,2,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,2,4,8,3,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,2,8,4,1,5,6] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[5,3,4,1,7,8,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,8,4,5,7,1,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,3,2,6,5,7] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,2,6,8,4,3,5,7] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[5,8,4,1,3,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,1,3,5,6,4,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,1,5,3,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,1,3,4,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,6,2,5,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,4,2,5,3,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,2,4,6,7,3] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,8,5,4,3,7,6] => [2,1,8,6,5,4,7,3] => [2,1,5,6,7,3,8,4] => {{1,2},{3,4,5,6,7,8}} => 0

[5,2,4,7,8,1,3,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[1,7,8,5,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,6,4,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,5,3,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[8,5,4,2,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,3,2,6,4,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,5,8,2,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,5,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,4,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,4,8,2,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,4,8,5,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,5,8,4,6,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,2,5,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,5,4,6,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,1,4,7,3,5,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,7,2,4,5,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,5,7,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,7,4,6,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,5,6,4,1,3,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,2,4,5,8,6,1,7] => [7,2,3,4,8,6,1,5] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,3,6,8,5,1,7] => [7,3,2,6,8,4,1,5] => [3,7,1,8,6,4,5,2] => {{1,3},{2,4,5,6,7,8}} => 0

[3,4,5,8,6,1,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[6,3,1,2,5,4,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[6,8,1,3,2,5,7,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,7,8,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,3,1,2,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,5,1,7,3,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,6,5,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,2,3,7,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,7,5,1,2,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,5,4,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,4,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,5,6,3,7,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,4,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,1,6,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,4,8,3,6,5] => [3,8,1,6,7,4,5,2] => [6,3,2,8,7,4,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,5,7,3,6,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,7,2,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,2,3,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,3,2,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[5,6,3,2,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,8,6,1,7,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,4,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,8,1,4,6,2,5,7] => [6,8,3,4,7,1,5,2] => [4,3,6,8,7,5,1,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,5,3,8,7,1,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,5,1,6,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,7,8,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,8,4,6,1,3,7] => [6,7,8,4,5,1,2,3] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,2,8,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[8,1,7,6,2,5,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,4,3,7,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,7,5,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,6,7,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,6,7,8,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,1,5,7,2,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,5,3,2,7,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,8,2,6,7,5,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,7,6,3,8,2,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,4,1,8,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,4,2,8,1,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,7,8,6,3,5] => [2,1,7,8,6,5,3,4] => [2,1,7,6,8,3,5,4] => {{1,2},{3,4,5,6,7,8}} => 0

[1,8,5,6,4,2,3,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,6,2,4,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,5,1,8,6,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,3,1,4,6,2,7,5] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,1,4,8,6,5] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[2,6,7,1,4,5,8,3] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[2,5,8,1,6,7,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,4,6,8,2,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,5,1,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,1,2,5,8,7] => [5,6,4,3,1,2,8,7] => [5,4,6,1,3,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,5,4,1,6,2,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[8,3,6,2,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,2,7,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,6,7,5,2,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,5,1,3,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,5,1,2,4,3,6,7] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,1,4,2,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,5,2,3,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,2,5,3,6,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,1,5,3,6,7,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,3,7,8,2] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,6,7,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,4,6,7,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,6,7,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,3,2,4,1,5,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,8,2,1,3,6,7] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,4,2,1,6,3,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,6,4,1,2,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,2,8,1,6,3,7] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,4,8,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,3,2,4,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,2,8,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,1,6,8,2,7,3] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,1,5,7,2,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,2,1,4,8,6,7,3] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[3,2,8,4,1,6,5,7] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[3,7,6,4,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,4,2,3,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,8,1,7,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,8,3,2,1,7,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,3,5,6,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,3,2,1,6,7,5] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[5,2,8,1,4,6,7,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,3,7,8,1,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,8,1,5,4,7,3] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[6,5,2,7,8,4,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,3,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,3,6,5,8,4,7,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[5,8,4,3,2,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,5,7,4,8,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,1,7,8,6,2,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,4,3,8,1,7,2,6] => [7,5,3,8,2,6,1,4] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,5,6,8,4,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,6,8,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,5,6,3,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,8,1,6,2,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,5,8,6,3,7] => [1,7,3,4,8,6,2,5] => [1,3,4,7,6,8,5,2] => {{1},{2,3,4,5,6,7,8}} => 1

[4,8,2,1,5,7,3,6] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,5,1,6,3,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[1,7,4,8,3,5,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,1,4,8,6,2,7] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,1,8,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,7,6,3,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,7,5,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,5,3,7,6,2,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,3,8,6,5,2] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,5,4,1,7,3,2,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,7,6,8,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,4,8,7,6,1,3] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,8,7,6,3,5,4,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,5,7,6,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,4,1,8,5,3,6] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,3,2,1,4,6,8,5] => [8,4,3,2,5,6,7,1] => [3,4,5,1,6,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,6,1,8,3,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,5,3,2,1,6,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,1,3,4,2,5,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,3,5,1,4,2,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,6,8,7,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,4,2,7,3,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,7,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,1,5,6,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,5,6,2,3,7] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[5,6,4,1,7,3,8,2] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,4,3,6,8,1,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,4,5,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,4,7,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,7,3,1,5,2,6,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,6,8,2,3,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[7,1,8,2,4,5,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,2,3,8,7,1,4,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,7,1,3,2,6,4,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,6,4,8,3,1,5] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,3,7,5,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,3,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[4,5,3,8,6,1,2,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,5,3,6,8,1,2,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,6,4,1,5,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,3,1,2,8,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,1,3,2,4,5,6] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,7,2,8,6] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[5,1,8,2,4,6,3,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,7,3,6,8,5,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,5,8,3,6,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,5,8,1,2,4,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,2,8,7,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,7,6,4,5,1,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,6,3,1,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,3,5,8,6,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,5,6,1,2,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,2,5,6,7,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,3,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,6,1,3,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,4,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,5,8,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,3,5,2,6,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,4,8,3,6,5,7,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[5,7,2,4,8,6,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,4,8,5,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,2,8,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,1,8,6,5,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,8,3,5,6,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,8,5,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,8,4,2,5,7,6] => [1,5,8,4,2,6,7,3] => [1,5,4,6,3,7,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,4,6,7,2,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,1,6,4,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,5,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,3,1,6,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,4,6,2,5,7,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,1,4,8,5,3,7,6] => [2,1,6,8,5,3,7,4] => [2,1,6,5,7,4,8,3] => {{1,2},{3,4,5,6,7,8}} => 0

[2,7,3,8,4,1,6,5] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[2,6,3,1,5,4,8,7] => [4,6,3,1,5,2,8,7] => [4,3,5,2,6,1,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[4,6,3,1,7,2,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[6,8,3,1,5,7,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,1,2,6,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,3,2,1,7,5,6] => [5,8,4,3,1,7,6,2] => [5,4,7,1,3,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,8,4,5,6,3,2,7] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,1,6,7,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[4,3,8,1,6,7,2,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[5,8,4,3,7,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,4,8,3,6,7,1,5] => [7,4,8,2,6,5,1,3] => [6,7,4,2,8,1,5,3] => {{1,6},{2,3,4,5,7,8}} => 0

[1,6,5,8,7,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,1,4,5,6,2,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,8,2,4,5,1,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,2,5,6,4,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,6,8,5,4,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,6,8,5,3,2,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,7,8,6,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,2,3,8,5,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[1,3,7,5,8,4,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,5,4,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,5,7,1,6,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,7,5,6,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,3,1,2,7,8,4,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,2,6,7,5,3,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,8,6,5,2,7,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,5,4,1,7,8,6,2] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,7,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,7,5,8,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,2,5,6,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,5,7,8,3,2,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,3,6,4,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,7,3,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,3,1,8,5,2,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[4,8,5,2,6,7,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,1,8,5,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,2,3,6,5,4] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,4,3,8,5] => [8,2,3,6,5,4,7,1] => [2,3,5,6,7,1,8,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,1,3,2,4,6,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,7,4,6,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,7,2,3,5,1,4,6] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,2,8,1,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,2,3,1,4,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,1,3,5,6,4,7] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[7,6,3,1,8,5,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,1,3,6,8,5,4] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,6,4,7,8,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,7,2,3,8,4,1,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,8,1,5,4,3,6] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,7,5,2,8,4] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,2,3,8,7,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,4,5,3,6,1,7,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,4,8,3,2,6,7] => [1,6,5,8,3,2,7,4] => [1,6,7,5,3,4,8,2] => {{1},{2,3,4,5,6,7,8}} => 1

[1,5,8,6,7,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,8,2,5,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,5,8,1,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,5,7,8,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,7,1,5,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,5,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,1,3,5,2,7,6] => [6,8,3,4,5,1,7,2] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,2,5,8,3,6] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,5,3,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,2,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,3,4,7,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,4,3,6,8,2,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,3,8,5,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,6,7,4,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,7,3,2,8,5,6] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[1,2,6,3,7,8,5,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,1,3,7,8,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,7,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,8,1,3,7,5,6,4] => [3,8,1,4,7,6,5,2] => [4,3,2,6,7,8,1,5] => {{1,4,5,6,7,8},{2,3}} => 0

[4,1,6,2,5,8,3,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[2,5,7,6,8,3,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,1,3,8,4,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,4,8,5,3,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,1,4,8,5,7,2] => [8,6,3,4,7,2,5,1] => [3,4,6,8,7,2,1,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,2,6,3,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,4,5,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,8,7,3,6,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,5,8,2,6,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,2,3,6,5,8] => [1,5,7,4,2,6,3,8] => [1,5,4,6,3,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,7,2,5,6,3,4,8] => [1,7,3,6,5,4,2,8] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,2,6,5,8,3,4,7] => [1,2,7,6,8,4,3,5] => [1,2,7,8,6,4,5,3] => {{1},{2},{3,4,5,6,7,8}} => 2

[6,8,3,2,7,5,1,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,6,7,2,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,4,7,5,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,4,7,8,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,2,1,7,8,6,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,1,5,8,6,2] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,4,5,3,1,7,6] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,8,4,1,7,3,2,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,2,1,3,6,4,7] => [7,8,4,3,5,6,1,2] => [5,4,6,1,7,8,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,6,1,8,5,7,2] => [8,4,6,2,7,3,5,1] => [4,8,6,2,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[1,8,3,5,7,4,2,6] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,5,8,4,6,7,1,3] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,2,6,4,3,5,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,2,6,5,3,4,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,7,5,6,4,8,1,3] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,8,3,6,5,7,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,6,7,2,5,8,3,4] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,4,6,3,8,1,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[8,2,1,3,7,4,6,5] => [8,3,2,4,7,6,5,1] => [3,4,1,6,7,8,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[7,8,2,3,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,8,1,3,7,5,6] => [5,4,8,2,1,7,6,3] => [5,7,4,2,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,2,4,1,3,7,5,6] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,1,6,2,3,7,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,2,3,6,4,5] => [8,2,7,4,5,6,3,1] => [2,4,5,6,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,2,6,7,5,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,5,3,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,6,5,7,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,6,5,7,1,3,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,5,3,2,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,1,3,2,7,5,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,7,5,2,4,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,5,8,1,7,3,2,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,5,1,4,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,5,6,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,4,2,1,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,2,3,5,1,8,6] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,5,3,8,6,4,1,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,5,2,1,6,3,8,7] => [6,4,3,2,5,1,8,7] => [3,4,5,1,6,2,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[3,6,2,8,5,7,1,4] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[4,6,8,1,5,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,4,7,2,5,8,6,1] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,5,1,6,7,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,3,5,6,8,4,1] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,5,3,1,6,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,3,1,4,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,7,6,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,8,5,4,1,6,7] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,1,2,6,3,4,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,2,3,6,4,8,1,5] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,5,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,6,3,2,7,8,4] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,5,4,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[3,8,5,4,7,1,2,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,2,6,5,8,1,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,2,5,7,4,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,1,6,8,5,3] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,7,4,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,5,4,7,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,6,8,7,2,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,3,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,1,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,5,7,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,2,4,3,6,1,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,3,7,1,4,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,5,6,7,3,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,4,7,5,8,6,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,3,4,2,7,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,7,6,2,8,3,5] => [7,2,8,5,4,6,1,3] => [2,6,5,7,1,8,4,3] => {{1,2,3,5,6,8},{4,7}} => 0

[2,5,6,3,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,5,3,8,4,7,1] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[2,6,5,3,7,4,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[5,7,3,2,8,4,1,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,6,1,7,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,1,5,2,7,4,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,1,4,2,8,5,3,6] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,6,8,1,7,5,3,4] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,1,6,8,7,5,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,7,5,6,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,7,6,3,4,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,4,7,6,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,8,5,2,6,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,4,7,5,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,4,1,2,6,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,5,2,6,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,8,3,2,6,1,7,5] => [6,8,4,3,7,1,5,2] => [6,4,8,1,7,5,2,3] => {{1,2,4,5,6,7},{3,8}} => 0

[7,5,4,3,6,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,8,7,6,2,5,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,5,4,3,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[7,4,6,5,3,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,6,1,3,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,6,1,5,7,3,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,2,1,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,3,1,2,4,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,4,6,8,3,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,7,6,8,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,7,4,6,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,2,6,4,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,6,7,5,1,2,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,8,5,7,2,6,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,8,2,7,5,6,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[7,4,5,3,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,6,1,4,2,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,8,4,6,7,1,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,4,1,8,2,5,6] => [8,6,4,3,7,2,5,1] => [4,6,8,1,7,3,2,5] => {{1,4},{2,3,5,6,7,8}} => 0

[5,6,3,1,8,2,4,7] => [7,6,4,3,8,2,1,5] => [4,7,8,1,6,3,5,2] => {{1,4},{2,3,5,6,7,8}} => 0

[7,6,3,5,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,6,8,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[2,7,1,5,6,4,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[1,5,7,8,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,5,7,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,4,7,6,2,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,8,7,1,6,4] => [6,8,3,7,5,1,4,2] => [5,3,7,6,8,4,1,2] => {{1,2,3,5,7,8},{4,6}} => 0

[3,7,6,5,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,2,6,7,3,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,8,5,3,2,6] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[8,6,7,1,4,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,6,1,7,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,5,4,2,7,3,8] => [7,2,5,4,3,6,1,8] => [2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,4,3,5,1,6,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,5,3,6,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,1,2,7,6,3,4,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,5,4,2,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,8,6,2,7,4,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,8,2,7,5,1,4] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,4,1,7,2,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,8,6,1,5,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,3,4,2,5,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,5,8,1,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[7,1,6,8,3,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,2,6,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,3,5,7,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,8,5,4,7,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,8,4,3,7,6,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,8,7,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,5,8,6,4,3,7,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,2,3,7,1,8,5] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[2,7,6,1,5,3,8,4] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[5,4,7,2,1,3,8,6] => [6,5,8,4,2,1,7,3] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,4,5,7,1,8,3] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[3,7,4,6,1,5,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,5,8,2,1,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,1,4,6,2,7,8,3] => [8,2,5,4,3,6,7,1] => [2,4,5,6,1,7,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,5,3,7,8,6,4] => [1,2,8,4,7,6,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => 2

[3,8,5,4,1,7,2,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[6,5,2,3,7,1,8,4] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[6,2,4,5,7,1,8,3] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[2,7,6,3,8,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,5,1,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,7,4,2,6,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,4,7,1,6,2,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,7,1,2,3,8,5] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,3,8,4,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,6,4,7,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,2,3,4,6,5] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[6,4,7,1,2,5,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,7,8,4,2,6,3,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,2,5,7,4,1,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,5,1,3,8,7,4] => [8,4,5,2,3,7,6,1] => [4,7,5,2,1,8,3,6] => {{1,2,3,4,5,7},{6,8}} => 0

[4,1,7,8,3,6,5,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,5,8,4,3,6,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,1,2,7,4,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,6,5,7,8,2,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,8,4,3,5,1,7,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[5,2,4,7,6,8,1,3] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,7,6,8,2,5,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,6,1,4,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,3,1,6,7,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,8,7,1,6,4,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,5,4,1,3,2,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,4,7,3,5,8,6,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[5,1,8,6,7,2,3,4] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,6,5,2,3,8,7] => [6,2,5,4,3,1,8,7] => [2,4,5,6,1,3,8,7] => {{1,2,3,4,5,6},{7,8}} => 0

[1,6,5,3,2,7,4,8] => [1,7,5,4,3,6,2,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,6,8,7,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,4,6,8,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,7,6,1,8,2,4,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,3,6,4,5,2,7] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,4,7,8,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,5,8,2,3,4,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,4,1,6,8,3,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[2,5,3,4,6,8,1,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,7,1,2,5,6,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,3,1,8,2,4,5] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,1,4,6,2,8,5] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,2,5,6,3,8] => [7,6,3,4,5,2,1,8] => [3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,4,1,3,6,8,7,2] => [8,4,3,2,5,7,6,1] => [3,4,5,1,7,8,2,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,4,7,1,5,2,6,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,6,3,7,5,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,5,3,7,6,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,7,1,4,3,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,4,2,7,6,5] => [5,2,8,4,1,7,6,3] => [2,5,4,7,3,8,1,6] => {{1,2,3,4,5,7},{6,8}} => 0

[8,2,3,1,7,6,4,5] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,5,4,7,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,4,3,8,6,1,7,5] => [6,3,2,8,7,1,5,4] => [3,8,1,6,7,5,2,4] => {{1,3},{2,4,5,6,7,8}} => 0

[8,1,4,6,5,3,7,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,2,3,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,4,3,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[1,8,5,6,2,3,7,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,5,6,1,3,2,7,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,6,3,2,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,6,8,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,7,5,2,3,6,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,5,2,3,6,1,7] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,7,5,4,2,8,1,6] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[3,6,5,1,8,2,4,7] => [6,7,4,3,8,1,2,5] => [7,4,8,1,6,5,3,2] => {{1,2,3,4,7,8},{5,6}} => 0

[8,5,2,3,7,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,6,3,5,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,3,2,6,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,3,6,2,5,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,2,3,1,6,5,7,4] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,2,3,6,5,8,1] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[3,8,2,6,4,7,1,5] => [7,8,3,6,5,4,1,2] => [5,3,6,7,8,1,4,2] => {{1,2,3,5,6,8},{4,7}} => 0

[1,7,5,8,6,2,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,5,1,7,4,8,3,2] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,6,3,5,1,4,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,6,1,7,4,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,4,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[8,1,6,7,4,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,4,7,5,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,6,3,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[4,1,3,7,6,5,2,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,2,7,1,5,8,3,4] => [8,4,7,2,5,6,3,1] => [4,6,5,2,7,8,1,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,6,2,5,7,4,3] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[2,7,1,5,3,6,8,4] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[5,7,3,6,4,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,3,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,4,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,6,3,2,4,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,4,2,5,1,8,6] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[1,8,3,4,5,7,2,6] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,7,5,3,8,1,4] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[4,5,2,6,8,3,1,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,7,6,2,1,3,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,2,3,7,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,2,3,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,7,2,3,5,4,6,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,4,5,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,6,1,5,7,4,3] => [4,8,7,1,6,5,3,2] => [7,4,6,3,8,1,2,5] => {{1,2,3,4,6,7},{5,8}} => 0

[8,3,5,1,7,6,4,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,3,5,4,7,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,8,7,1,2,5,3,6] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,7,3,8,2,4,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,8,6,4,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[4,1,3,5,8,2,6,7] => [6,2,3,4,8,1,7,5] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0

[1,8,5,7,4,6,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,7,6,8,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,8,5,1,4,3,6,7] => [4,8,6,1,5,3,7,2] => [6,4,5,3,7,1,8,2] => {{1,6},{2,3,4,5,7,8}} => 0

[1,6,8,7,2,5,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,8,7,6,3,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,6,7,5,2,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,7,2,4,5,3,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[8,1,6,2,5,7,3,4] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,5,1,3,8,7,2,6] => [7,4,3,2,8,6,1,5] => [3,4,7,1,6,8,5,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,1,8,3,4,5] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[3,4,2,6,8,5,7,1] => [8,3,2,6,7,4,5,1] => [3,6,1,8,7,4,2,5] => {{1,3},{2,4,5,6,7,8}} => 0

[1,6,8,5,7,4,3,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,6,2,4,7,5,8,1] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[3,1,8,4,5,6,2,7] => [7,2,8,4,5,6,1,3] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,2,8,6,3,5] => [8,2,7,4,6,5,3,1] => [2,4,6,7,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[4,1,5,7,8,6,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,7,5,3,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[6,1,7,4,8,5,2,3] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[8,1,5,3,7,4,2,6] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,2,4,8,6,7,3,5] => [1,2,7,8,6,5,3,4] => [1,2,7,6,8,3,5,4] => {{1},{2},{3,4,5,6,7,8}} => 2

[2,6,1,4,7,5,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

[5,2,7,3,1,6,8,4] => [8,5,6,4,2,3,7,1] => [4,6,5,7,2,1,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,7,2,1,3,4,8,5] => [8,6,4,3,5,2,7,1] => [4,5,6,1,7,2,8,3] => {{1,4},{2,3,5,6,7,8}} => 0

[4,6,3,1,2,7,8,5] => [5,8,4,3,1,6,7,2] => [5,4,6,1,3,7,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[2,3,5,6,8,4,7,1] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,4,3,6,2,5,7] => [8,2,6,4,7,3,5,1] => [2,4,6,8,7,3,1,5] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,5,7,6,4,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,6,3,7,8,4,2,5] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[5,3,8,4,6,7,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,8,5,6,4,1] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[7,1,4,8,5,6,3,2] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,3,8,6,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[3,4,8,2,6,7,5,1] => [8,4,7,2,6,5,3,1] => [4,7,6,2,8,1,3,5] => {{1,2,3,4,6,7},{5,8}} => 0

[1,6,3,8,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,4,5,8,7,6,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,1,4,3,5,8,2,7] => [7,2,5,4,3,8,1,6] => [2,4,5,8,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[6,5,1,3,8,2,4,7] => [7,6,3,4,8,2,1,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,3,8,6,2,5,7] => [1,6,3,8,7,2,5,4] => [1,3,8,6,7,5,2,4] => {{1},{2,3,4,5,6,7,8}} => 1

[4,1,3,8,6,2,5,7] => [6,2,3,8,7,1,5,4] => [2,3,8,6,7,5,1,4] => {{1,2,3,4,5,6,7,8}} => 0

[3,5,2,4,8,6,7,1] => [8,4,3,2,7,6,5,1] => [3,4,6,1,7,8,2,5] => {{1,2,3,4,5,6,7,8}} => 0

[8,4,7,1,5,6,2,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,8,3,6,2,5,4] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,4,3,5,8,1,6,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,6,7,1,3,8,2,5] => [7,8,5,4,3,6,1,2] => [5,4,6,7,1,8,3,2] => {{1,5},{2,3,4,6,7,8}} => 0

[2,6,3,1,4,7,8,5] => [4,8,3,1,5,6,7,2] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0

[4,5,3,8,7,1,2,6] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[4,2,6,3,5,8,1,7] => [7,4,5,2,3,8,1,6] => [4,8,5,2,1,7,6,3] => {{1,2,3,4,5,8},{6,7}} => 0

[7,4,2,6,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[8,5,2,4,6,3,1,7] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,4,1,8,5,2,3,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[8,6,2,3,5,7,4,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,6,2,1,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,8,6,1,2,4,3,7] => [7,8,6,4,5,3,1,2] => [5,4,6,7,8,1,3,2] => {{1,2,3,4,5,6,7,8}} => 0

[6,2,5,7,4,1,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,7,1,3,5,6,8,2] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,7,4,6,2,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[5,7,6,3,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,2,7,5,4,1,8,6] => [6,2,8,5,4,1,7,3] => [2,6,5,7,1,4,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,3,5,4,1,6,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,3,1,7,6,8,2,4] => [8,7,3,5,4,6,2,1] => [3,5,6,7,1,8,2,4] => {{1,2,3,4,5,6,7,8}} => 0

[5,7,3,6,2,1,8,4] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,7,5,6,4,2,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,3,2,1,5,8,4,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[4,5,3,1,6,8,2,7] => [7,4,3,2,5,8,1,6] => [3,4,5,1,8,7,6,2] => {{1,2,3,4,5,8},{6,7}} => 0

[3,4,6,7,5,1,8,2] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,1,2,5,6,8,3] => [8,6,3,4,5,2,7,1] => [3,4,5,6,7,1,8,2] => {{1,2,3,4,5,6,7,8}} => 0

[1,3,8,6,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[2,6,5,3,7,1,8,4] => [6,8,4,3,5,1,7,2] => [5,4,6,1,7,3,8,2] => {{1,2,4,5,7,8},{3,6}} => 0

[8,1,7,6,4,2,3,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,8,6,3,7,4,5,2] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[6,2,8,3,7,4,5,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[3,7,5,6,4,2,8,1] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,2,3,8,6,1,4,7] => [7,6,3,8,5,2,1,4] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0

[7,8,6,1,4,2,5,3] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[6,1,2,4,7,5,3,8] => [7,2,3,6,5,4,1,8] => [2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,8,5,1,2,6,3,4] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,8,6,1,4,3,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[4,3,6,2,5,7,1,8] => [7,4,5,2,3,6,1,8] => [4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,6,4,1,2,5,8,3] => [8,6,5,4,3,2,7,1] => [4,5,6,7,1,2,8,3] => {{1,2,3,4,5,6,7,8}} => 0

[5,6,7,1,3,2,4,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[7,1,8,4,3,2,6,5] => [8,2,7,6,5,4,3,1] => [2,5,6,7,8,1,3,4] => {{1,2,3,4,5,6,7,8}} => 0

[1,7,6,8,2,5,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[1,7,8,6,2,5,4,3] => [1,8,7,6,5,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => 1

[7,5,3,6,8,4,2,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[7,4,6,2,8,5,3,1] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[1,4,3,7,6,2,5,8] => [1,6,3,7,5,2,4,8] => [1,3,6,5,7,4,2,8] => {{1},{2,3,4,5,6,7},{8}} => 2

[1,3,7,4,6,8,5,2] => [1,8,7,4,5,6,3,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => 1

[3,7,4,6,8,1,5,2] => [8,7,6,4,5,3,2,1] => [4,5,6,7,8,1,2,3] => {{1,2,3,4,5,6,7,8}} => 0

[2,6,7,5,3,4,1,8] => [7,6,5,4,3,2,1,8] => [4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => 1

[2,4,1,7,5,6,8,3] => [3,8,1,6,5,4,7,2] => [5,3,2,6,7,1,8,4] => {{1,4,5,6,7,8},{2,3}} => 0

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

$F_{2} = 1 + q^{2}$

$F_{3} = 3 + 2\ q + q^{3}$

$F_{4} = 14 + 6\ q + 3\ q^{2} + q^{4}$

$F_{5} = 77 + 29\ q + 9\ q^{2} + 4\ q^{3} + q^{5}$

$F_{6} = 497 + 160\ q + 45\ q^{2} + 12\ q^{3} + 5\ q^{4} + q^{6}$

$F_{7} = 3676 + 1031\ q + 249\ q^{2} + 62\ q^{3} + 15\ q^{4} + 6\ q^{5} + q^{7}$

Description

The number of singleton blocks of a set partition.

Map

Demazure product with inverse

Description

This map sends a permutation

$\pi$ to

$\pi^{-1} \star \pi$ where

$\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations

$\pi$ for which

$\pi = \pi^{-1}$ .

Map

to cycle type

Description

Let

$\pi=c_1\dots c_r$ a permutation of size

$n$ decomposed in its cyclic parts. The associated set partition of

$[n]$ then is

$S=S_1\cup\dots\cup S_r$ such that

$S_i$ is the set of integers in the cycle

$c_i$ .
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].

Map

Corteel

Description

Corteel's map interchanging the number of crossings and the number of nestings of a permutation.
This involution creates a labelled bicoloured Motzkin path, using the Foata-Zeilberger map. In the corresponding bump diagram, each label records the number of arcs nesting the given arc. Then each label is replaced by its complement, and the inverse of the Foata-Zeilberger map is applied.