Identifier
-
Mp00088:
Permutations
—Kreweras complement⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00221: Set partitions —conjugate⟶ Set partitions
St000248: Set partitions ⟶ ℤ
Values
[1,2] => [2,1] => {{1,2}} => {{1},{2}} => 0
[2,1] => [1,2] => {{1},{2}} => {{1,2}} => 2
[1,2,3] => [2,3,1] => {{1,2,3}} => {{1},{2},{3}} => 0
[1,3,2] => [2,1,3] => {{1,2},{3}} => {{1,2},{3}} => 1
[2,1,3] => [3,2,1] => {{1,3},{2}} => {{1},{2,3}} => 1
[2,3,1] => [1,2,3] => {{1},{2},{3}} => {{1,2,3}} => 3
[3,1,2] => [3,1,2] => {{1,2,3}} => {{1},{2},{3}} => 0
[3,2,1] => [1,3,2] => {{1},{2,3}} => {{1,3},{2}} => 1
[1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[1,2,4,3] => [2,3,1,4] => {{1,2,3},{4}} => {{1,2},{3},{4}} => 1
[1,3,2,4] => [2,4,3,1] => {{1,2,4},{3}} => {{1},{2,3},{4}} => 1
[1,3,4,2] => [2,1,3,4] => {{1,2},{3},{4}} => {{1,2,3},{4}} => 2
[1,4,2,3] => [2,4,1,3] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[1,4,3,2] => [2,1,4,3] => {{1,2},{3,4}} => {{1,3},{2},{4}} => 0
[2,1,3,4] => [3,2,4,1] => {{1,3,4},{2}} => {{1},{2},{3,4}} => 1
[2,1,4,3] => [3,2,1,4] => {{1,3},{2},{4}} => {{1,2},{3,4}} => 2
[2,3,1,4] => [4,2,3,1] => {{1,4},{2},{3}} => {{1},{2,3,4}} => 2
[2,3,4,1] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1,2,3,4}} => 4
[2,4,1,3] => [4,2,1,3] => {{1,3,4},{2}} => {{1},{2},{3,4}} => 1
[2,4,3,1] => [1,2,4,3] => {{1},{2},{3,4}} => {{1,3,4},{2}} => 2
[3,1,2,4] => [3,4,2,1] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[3,1,4,2] => [3,1,2,4] => {{1,2,3},{4}} => {{1,2},{3},{4}} => 1
[3,2,1,4] => [4,3,2,1] => {{1,4},{2,3}} => {{1},{2,4},{3}} => 0
[3,2,4,1] => [1,3,2,4] => {{1},{2,3},{4}} => {{1,2,4},{3}} => 2
[3,4,1,2] => [4,1,2,3] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[3,4,2,1] => [1,4,2,3] => {{1},{2,3,4}} => {{1,4},{2},{3}} => 1
[4,1,2,3] => [3,4,1,2] => {{1,3},{2,4}} => {{1,3},{2,4}} => 0
[4,1,3,2] => [3,1,4,2] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[4,2,1,3] => [4,3,1,2] => {{1,2,3,4}} => {{1},{2},{3},{4}} => 0
[4,2,3,1] => [1,3,4,2] => {{1},{2,3,4}} => {{1,4},{2},{3}} => 1
[4,3,1,2] => [4,1,3,2] => {{1,2,4},{3}} => {{1},{2,3},{4}} => 1
[4,3,2,1] => [1,4,3,2] => {{1},{2,4},{3}} => {{1,4},{2,3}} => 2
[1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,2,3,5,4] => [2,3,4,1,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[1,2,4,3,5] => [2,3,5,4,1] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[1,2,4,5,3] => [2,3,1,4,5] => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => 2
[1,2,5,3,4] => [2,3,5,1,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,2,5,4,3] => [2,3,1,5,4] => {{1,2,3},{4,5}} => {{1,3},{2},{4},{5}} => 0
[1,3,2,4,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[1,3,2,5,4] => [2,4,3,1,5] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => 2
[1,3,4,2,5] => [2,5,3,4,1] => {{1,2,5},{3},{4}} => {{1},{2,3,4},{5}} => 2
[1,3,4,5,2] => [2,1,3,4,5] => {{1,2},{3},{4},{5}} => {{1,2,3,4},{5}} => 3
[1,3,5,2,4] => [2,5,3,1,4] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[1,3,5,4,2] => [2,1,3,5,4] => {{1,2},{3},{4,5}} => {{1,3,4},{2},{5}} => 1
[1,4,2,3,5] => [2,4,5,3,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,4,2,5,3] => [2,4,1,3,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[1,4,3,2,5] => [2,5,4,3,1] => {{1,2,5},{3,4}} => {{1},{2,4},{3},{5}} => 0
[1,4,3,5,2] => [2,1,4,3,5] => {{1,2},{3,4},{5}} => {{1,2,4},{3},{5}} => 1
[1,4,5,2,3] => [2,5,1,3,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,4,5,3,2] => [2,1,5,3,4] => {{1,2},{3,4,5}} => {{1,4},{2},{3},{5}} => 0
[1,5,2,3,4] => [2,4,5,1,3] => {{1,2,4},{3,5}} => {{1,3},{2,4},{5}} => 0
[1,5,2,4,3] => [2,4,1,5,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,5,3,2,4] => [2,5,4,1,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[1,5,3,4,2] => [2,1,4,5,3] => {{1,2},{3,4,5}} => {{1,4},{2},{3},{5}} => 0
[1,5,4,2,3] => [2,5,1,4,3] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[1,5,4,3,2] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => {{1,4},{2,3},{5}} => 1
[2,1,3,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,1,3,5,4] => [3,2,4,1,5] => {{1,3,4},{2},{5}} => {{1,2},{3},{4,5}} => 2
[2,1,4,3,5] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => 2
[2,1,4,5,3] => [3,2,1,4,5] => {{1,3},{2},{4},{5}} => {{1,2,3},{4,5}} => 3
[2,1,5,3,4] => [3,2,5,1,4] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,1,5,4,3] => [3,2,1,5,4] => {{1,3},{2},{4,5}} => {{1,3},{2},{4,5}} => 1
[2,3,1,4,5] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 2
[2,3,1,5,4] => [4,2,3,1,5] => {{1,4},{2},{3},{5}} => {{1,2},{3,4,5}} => 3
[2,3,4,1,5] => [5,2,3,4,1] => {{1,5},{2},{3},{4}} => {{1},{2,3,4,5}} => 3
[2,3,4,5,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1,2,3,4,5}} => 5
[2,3,5,1,4] => [5,2,3,1,4] => {{1,4,5},{2},{3}} => {{1},{2},{3,4,5}} => 2
[2,3,5,4,1] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1,3,4,5},{2}} => 3
[2,4,1,3,5] => [4,2,5,3,1] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,4,1,5,3] => [4,2,1,3,5] => {{1,3,4},{2},{5}} => {{1,2},{3},{4,5}} => 2
[2,4,3,1,5] => [5,2,4,3,1] => {{1,5},{2},{3,4}} => {{1},{2,4,5},{3}} => 1
[2,4,3,5,1] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1,2,4,5},{3}} => 3
[2,4,5,1,3] => [5,2,1,3,4] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,4,5,3,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 2
[2,5,1,3,4] => [4,2,5,1,3] => {{1,4},{2},{3,5}} => {{1,3},{2,4,5}} => 1
[2,5,1,4,3] => [4,2,1,5,3] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,5,3,1,4] => [5,2,4,1,3] => {{1,3,4,5},{2}} => {{1},{2},{3},{4,5}} => 1
[2,5,3,4,1] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1,4,5},{2},{3}} => 2
[2,5,4,1,3] => [5,2,1,4,3] => {{1,3,5},{2},{4}} => {{1},{2,3},{4,5}} => 2
[2,5,4,3,1] => [1,2,5,4,3] => {{1},{2},{3,5},{4}} => {{1,4,5},{2,3}} => 3
[3,1,2,4,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[3,1,2,5,4] => [3,4,2,1,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[3,1,4,2,5] => [3,5,2,4,1] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[3,1,4,5,2] => [3,1,2,4,5] => {{1,2,3},{4},{5}} => {{1,2,3},{4},{5}} => 2
[3,1,5,2,4] => [3,5,2,1,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[3,1,5,4,2] => [3,1,2,5,4] => {{1,2,3},{4,5}} => {{1,3},{2},{4},{5}} => 0
[3,2,1,4,5] => [4,3,2,5,1] => {{1,4,5},{2,3}} => {{1},{2},{3,5},{4}} => 0
[3,2,1,5,4] => [4,3,2,1,5] => {{1,4},{2,3},{5}} => {{1,2},{3,5},{4}} => 1
[3,2,4,1,5] => [5,3,2,4,1] => {{1,5},{2,3},{4}} => {{1},{2,3,5},{4}} => 1
[3,2,4,5,1] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1,2,3,5},{4}} => 3
[3,2,5,1,4] => [5,3,2,1,4] => {{1,4,5},{2,3}} => {{1},{2},{3,5},{4}} => 0
[3,2,5,4,1] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1,3,5},{2},{4}} => 1
[3,4,1,2,5] => [4,5,2,3,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[3,4,1,5,2] => [4,1,2,3,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[3,4,2,1,5] => [5,4,2,3,1] => {{1,5},{2,3,4}} => {{1},{2,5},{3},{4}} => 0
[3,4,2,5,1] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1,2,5},{3},{4}} => 2
[3,4,5,1,2] => [5,1,2,3,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[3,4,5,2,1] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[3,5,1,2,4] => [4,5,2,1,3] => {{1,4},{2,3,5}} => {{1,3},{2,5},{4}} => 0
[3,5,1,4,2] => [4,1,2,5,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[3,5,2,1,4] => [5,4,2,1,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
>>> Load all 5946 entries. <<<[3,5,2,4,1] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[3,5,4,1,2] => [5,1,2,4,3] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[3,5,4,2,1] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
[4,1,2,3,5] => [3,4,5,2,1] => {{1,3,5},{2,4}} => {{1},{2,4},{3,5}} => 0
[4,1,2,5,3] => [3,4,1,2,5] => {{1,3},{2,4},{5}} => {{1,2,4},{3,5}} => 1
[4,1,3,2,5] => [3,5,4,2,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,1,3,5,2] => [3,1,4,2,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[4,1,5,2,3] => [3,5,1,2,4] => {{1,3},{2,4,5}} => {{1,4},{2},{3,5}} => 0
[4,1,5,3,2] => [3,1,5,2,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,2,1,3,5] => [4,3,5,2,1] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,2,1,5,3] => [4,3,1,2,5] => {{1,2,3,4},{5}} => {{1,2},{3},{4},{5}} => 1
[4,2,3,1,5] => [5,3,4,2,1] => {{1,5},{2,3,4}} => {{1},{2,5},{3},{4}} => 0
[4,2,3,5,1] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1,2,5},{3},{4}} => 2
[4,2,5,1,3] => [5,3,1,2,4] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,2,5,3,1] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[4,3,1,2,5] => [4,5,3,2,1] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[4,3,1,5,2] => [4,1,3,2,5] => {{1,2,4},{3},{5}} => {{1,2},{3,4},{5}} => 2
[4,3,2,1,5] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => {{1},{2,5},{3,4}} => 1
[4,3,2,5,1] => [1,4,3,2,5] => {{1},{2,4},{3},{5}} => {{1,2,5},{3,4}} => 3
[4,3,5,1,2] => [5,1,3,2,4] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[4,3,5,2,1] => [1,5,3,2,4] => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[4,5,1,2,3] => [4,5,1,2,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,5,1,3,2] => [4,1,5,2,3] => {{1,2,4},{3,5}} => {{1,3},{2,4},{5}} => 0
[4,5,2,1,3] => [5,4,1,2,3] => {{1,3,5},{2,4}} => {{1},{2,4},{3,5}} => 0
[4,5,2,3,1] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1,3,5},{2,4}} => 1
[4,5,3,1,2] => [5,1,4,2,3] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[4,5,3,2,1] => [1,5,4,2,3] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[5,1,2,3,4] => [3,4,5,1,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,1,2,4,3] => [3,4,1,5,2] => {{1,3},{2,4,5}} => {{1,4},{2},{3,5}} => 0
[5,1,3,2,4] => [3,5,4,1,2] => {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} => 0
[5,1,3,4,2] => [3,1,4,5,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,1,4,2,3] => [3,5,1,4,2] => {{1,3},{2,5},{4}} => {{1,4},{2,3,5}} => 1
[5,1,4,3,2] => [3,1,5,4,2] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[5,2,1,3,4] => [4,3,5,1,2] => {{1,4},{2,3,5}} => {{1,3},{2,5},{4}} => 0
[5,2,1,4,3] => [4,3,1,5,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,2,3,1,4] => [5,3,4,1,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,2,3,4,1] => [1,3,4,5,2] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[5,2,4,1,3] => [5,3,1,4,2] => {{1,2,3,5},{4}} => {{1},{2,3},{4},{5}} => 1
[5,2,4,3,1] => [1,3,5,4,2] => {{1},{2,3,5},{4}} => {{1,5},{2,3},{4}} => 2
[5,3,1,2,4] => [4,5,3,1,2] => {{1,4},{2,5},{3}} => {{1,3,4},{2,5}} => 1
[5,3,1,4,2] => [4,1,3,5,2] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[5,3,2,1,4] => [5,4,3,1,2] => {{1,2,4,5},{3}} => {{1},{2},{3,4},{5}} => 1
[5,3,2,4,1] => [1,4,3,5,2] => {{1},{2,4,5},{3}} => {{1,5},{2},{3,4}} => 2
[5,3,4,1,2] => [5,1,3,4,2] => {{1,2,5},{3},{4}} => {{1},{2,3,4},{5}} => 2
[5,3,4,2,1] => [1,5,3,4,2] => {{1},{2,5},{3},{4}} => {{1,5},{2,3,4}} => 3
[5,4,1,2,3] => [4,5,1,3,2] => {{1,3,4},{2,5}} => {{1,4},{2,5},{3}} => 0
[5,4,1,3,2] => [4,1,5,3,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,4,2,1,3] => [5,4,1,3,2] => {{1,2,3,4,5}} => {{1},{2},{3},{4},{5}} => 0
[5,4,2,3,1] => [1,4,5,3,2] => {{1},{2,3,4,5}} => {{1,5},{2},{3},{4}} => 1
[5,4,3,1,2] => [5,1,4,3,2] => {{1,2,5},{3,4}} => {{1},{2,4},{3},{5}} => 0
[5,4,3,2,1] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => {{1,5},{2,4},{3}} => 1
[1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,3,4,6,5] => [2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,2,3,5,4,6] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,2,3,5,6,4] => [2,3,4,1,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[1,2,3,6,4,5] => [2,3,4,6,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,3,6,5,4] => [2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[1,2,4,3,5,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,2,4,3,6,5] => [2,3,5,4,1,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[1,2,4,5,3,6] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[1,2,4,5,6,3] => [2,3,1,4,5,6] => {{1,2,3},{4},{5},{6}} => {{1,2,3,4},{5},{6}} => 3
[1,2,4,6,3,5] => [2,3,6,4,1,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,2,4,6,5,3] => [2,3,1,4,6,5] => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 1
[1,2,5,3,4,6] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,5,3,6,4] => [2,3,5,1,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,2,5,4,3,6] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[1,2,5,4,6,3] => [2,3,1,5,4,6] => {{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}} => 1
[1,2,5,6,3,4] => [2,3,6,1,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,5,6,4,3] => [2,3,1,6,4,5] => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 0
[1,2,6,3,4,5] => [2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[1,2,6,3,5,4] => [2,3,5,1,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,6,4,3,5] => [2,3,6,5,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,2,6,4,5,3] => [2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 0
[1,2,6,5,3,4] => [2,3,6,1,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,2,6,5,4,3] => [2,3,1,6,5,4] => {{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}} => 1
[1,3,2,4,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,2,4,6,5] => [2,4,3,5,1,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[1,3,2,5,4,6] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[1,3,2,5,6,4] => [2,4,3,1,5,6] => {{1,2,4},{3},{5},{6}} => {{1,2,3},{4,5},{6}} => 3
[1,3,2,6,4,5] => [2,4,3,6,1,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,2,6,5,4] => [2,4,3,1,6,5] => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 1
[1,3,4,2,5,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[1,3,4,2,6,5] => [2,5,3,4,1,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3,4,5},{6}} => 3
[1,3,4,5,2,6] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => {{1},{2,3,4,5},{6}} => 3
[1,3,4,5,6,2] => [2,1,3,4,5,6] => {{1,2},{3},{4},{5},{6}} => {{1,2,3,4,5},{6}} => 4
[1,3,4,6,2,5] => [2,6,3,4,1,5] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[1,3,4,6,5,2] => [2,1,3,4,6,5] => {{1,2},{3},{4},{5,6}} => {{1,3,4,5},{2},{6}} => 2
[1,3,5,2,4,6] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,5,2,6,4] => [2,5,3,1,4,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[1,3,5,4,2,6] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 1
[1,3,5,4,6,2] => [2,1,3,5,4,6] => {{1,2},{3},{4,5},{6}} => {{1,2,4,5},{3},{6}} => 2
[1,3,5,6,2,4] => [2,6,3,1,4,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,5,6,4,2] => [2,1,3,6,4,5] => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 1
[1,3,6,2,4,5] => [2,5,3,6,1,4] => {{1,2,5},{3},{4,6}} => {{1,3},{2,4,5},{6}} => 1
[1,3,6,2,5,4] => [2,5,3,1,6,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,6,4,2,5] => [2,6,3,5,1,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[1,3,6,4,5,2] => [2,1,3,5,6,4] => {{1,2},{3},{4,5,6}} => {{1,4,5},{2},{3},{6}} => 1
[1,3,6,5,2,4] => [2,6,3,1,5,4] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[1,3,6,5,4,2] => [2,1,3,6,5,4] => {{1,2},{3},{4,6},{5}} => {{1,4,5},{2,3},{6}} => 2
[1,4,2,3,5,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,2,3,6,5] => [2,4,5,3,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,4,2,5,3,6] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,4,2,5,6,3] => [2,4,1,3,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[1,4,2,6,3,5] => [2,4,6,3,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,2,6,5,3] => [2,4,1,3,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[1,4,3,2,5,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[1,4,3,2,6,5] => [2,5,4,3,1,6] => {{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}} => 1
[1,4,3,5,2,6] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}} => 1
[1,4,3,5,6,2] => [2,1,4,3,5,6] => {{1,2},{3,4},{5},{6}} => {{1,2,3,5},{4},{6}} => 2
[1,4,3,6,2,5] => [2,6,4,3,1,5] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[1,4,3,6,5,2] => [2,1,4,3,6,5] => {{1,2},{3,4},{5,6}} => {{1,3,5},{2},{4},{6}} => 0
[1,4,5,2,3,6] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,5,2,6,3] => [2,5,1,3,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,4,5,3,2,6] => [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 0
[1,4,5,3,6,2] => [2,1,5,3,4,6] => {{1,2},{3,4,5},{6}} => {{1,2,5},{3},{4},{6}} => 1
[1,4,5,6,2,3] => [2,6,1,3,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,5,6,3,2] => [2,1,6,3,4,5] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,4,6,2,3,5] => [2,5,6,3,1,4] => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 0
[1,4,6,2,5,3] => [2,5,1,3,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,6,3,2,5] => [2,6,5,3,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,4,6,3,5,2] => [2,1,5,3,6,4] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,4,6,5,2,3] => [2,6,1,3,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,4,6,5,3,2] => [2,1,6,3,5,4] => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 1
[1,5,2,3,4,6] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[1,5,2,3,6,4] => [2,4,5,1,3,6] => {{1,2,4},{3,5},{6}} => {{1,2,4},{3,5},{6}} => 1
[1,5,2,4,3,6] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,2,4,6,3] => [2,4,1,5,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,5,2,6,3,4] => [2,4,6,1,3,5] => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 0
[1,5,2,6,4,3] => [2,4,1,6,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,3,2,4,6] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,3,2,6,4] => [2,5,4,1,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[1,5,3,4,2,6] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 0
[1,5,3,4,6,2] => [2,1,4,5,3,6] => {{1,2},{3,4,5},{6}} => {{1,2,5},{3},{4},{6}} => 1
[1,5,3,6,2,4] => [2,6,4,1,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,3,6,4,2] => [2,1,4,6,3,5] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,5,4,2,3,6] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,5,4,2,6,3] => [2,5,1,4,3,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[1,5,4,3,2,6] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}} => 1
[1,5,4,3,6,2] => [2,1,5,4,3,6] => {{1,2},{3,5},{4},{6}} => {{1,2,5},{3,4},{6}} => 2
[1,5,4,6,2,3] => [2,6,1,4,3,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,5,4,6,3,2] => [2,1,6,4,3,5] => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 1
[1,5,6,2,3,4] => [2,5,6,1,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,6,2,4,3] => [2,5,1,6,3,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[1,5,6,3,2,4] => [2,6,5,1,3,4] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[1,5,6,3,4,2] => [2,1,5,6,3,4] => {{1,2},{3,5},{4,6}} => {{1,3,5},{2,4},{6}} => 0
[1,5,6,4,2,3] => [2,6,1,5,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,5,6,4,3,2] => [2,1,6,5,3,4] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,6,2,3,4,5] => [2,4,5,6,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,2,3,5,4] => [2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 0
[1,6,2,4,3,5] => [2,4,6,5,1,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[1,6,2,4,5,3] => [2,4,1,5,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,2,5,3,4] => [2,4,6,1,5,3] => {{1,2,4},{3,6},{5}} => {{1,4},{2,3,5},{6}} => 1
[1,6,2,5,4,3] => [2,4,1,6,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,6,3,2,4,5] => [2,5,4,6,1,3] => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 0
[1,6,3,2,5,4] => [2,5,4,1,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,3,4,2,5] => [2,6,4,5,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,3,4,5,2] => [2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,6,3,5,2,4] => [2,6,4,1,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[1,6,3,5,4,2] => [2,1,4,6,5,3] => {{1,2},{3,4,6},{5}} => {{1,5},{2,3},{4},{6}} => 1
[1,6,4,2,3,5] => [2,5,6,4,1,3] => {{1,2,5},{3,6},{4}} => {{1,3,4},{2,5},{6}} => 1
[1,6,4,2,5,3] => [2,5,1,4,6,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,6,4,3,2,5] => [2,6,5,4,1,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[1,6,4,3,5,2] => [2,1,5,4,6,3] => {{1,2},{3,5,6},{4}} => {{1,5},{2},{3,4},{6}} => 1
[1,6,4,5,2,3] => [2,6,1,4,5,3] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[1,6,4,5,3,2] => [2,1,6,4,5,3] => {{1,2},{3,6},{4},{5}} => {{1,5},{2,3,4},{6}} => 2
[1,6,5,2,3,4] => [2,5,6,1,4,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[1,6,5,2,4,3] => [2,5,1,6,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,5,3,2,4] => [2,6,5,1,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[1,6,5,3,4,2] => [2,1,5,6,4,3] => {{1,2},{3,4,5,6}} => {{1,5},{2},{3},{4},{6}} => 0
[1,6,5,4,2,3] => [2,6,1,5,4,3] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[1,6,5,4,3,2] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => {{1,5},{2,4},{3},{6}} => 0
[2,1,3,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,3,4,6,5] => [3,2,4,5,1,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,1,3,5,4,6] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,1,3,5,6,4] => [3,2,4,1,5,6] => {{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}} => 3
[2,1,3,6,4,5] => [3,2,4,6,1,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,3,6,5,4] => [3,2,4,1,6,5] => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 1
[2,1,4,3,5,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,1,4,3,6,5] => [3,2,5,4,1,6] => {{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}} => 3
[2,1,4,5,3,6] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}} => 3
[2,1,4,5,6,3] => [3,2,1,4,5,6] => {{1,3},{2},{4},{5},{6}} => {{1,2,3,4},{5,6}} => 4
[2,1,4,6,3,5] => [3,2,6,4,1,5] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,1,4,6,5,3] => [3,2,1,4,6,5] => {{1,3},{2},{4},{5,6}} => {{1,3,4},{2},{5,6}} => 2
[2,1,5,3,4,6] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,5,3,6,4] => [3,2,5,1,4,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,1,5,4,3,6] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 1
[2,1,5,4,6,3] => [3,2,1,5,4,6] => {{1,3},{2},{4,5},{6}} => {{1,2,4},{3},{5,6}} => 2
[2,1,5,6,3,4] => [3,2,6,1,4,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,5,6,4,3] => [3,2,1,6,4,5] => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 1
[2,1,6,3,4,5] => [3,2,5,6,1,4] => {{1,3,5},{2},{4,6}} => {{1,3},{2,4},{5,6}} => 1
[2,1,6,3,5,4] => [3,2,5,1,6,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,6,4,3,5] => [3,2,6,5,1,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,1,6,4,5,3] => [3,2,1,5,6,4] => {{1,3},{2},{4,5,6}} => {{1,4},{2},{3},{5,6}} => 1
[2,1,6,5,3,4] => [3,2,6,1,5,4] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,1,6,5,4,3] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => {{1,4},{2,3},{5,6}} => 2
[2,3,1,4,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,1,4,6,5] => [4,2,3,5,1,6] => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 3
[2,3,1,5,4,6] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 3
[2,3,1,5,6,4] => [4,2,3,1,5,6] => {{1,4},{2},{3},{5},{6}} => {{1,2,3},{4,5,6}} => 4
[2,3,1,6,4,5] => [4,2,3,6,1,5] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,1,6,5,4] => [4,2,3,1,6,5] => {{1,4},{2},{3},{5,6}} => {{1,3},{2},{4,5,6}} => 2
[2,3,4,1,5,6] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 3
[2,3,4,1,6,5] => [5,2,3,4,1,6] => {{1,5},{2},{3},{4},{6}} => {{1,2},{3,4,5,6}} => 4
[2,3,4,5,1,6] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => {{1},{2,3,4,5,6}} => 4
[2,3,4,5,6,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1,2,3,4,5,6}} => 6
[2,3,4,6,1,5] => [6,2,3,4,1,5] => {{1,5,6},{2},{3},{4}} => {{1},{2},{3,4,5,6}} => 3
[2,3,4,6,5,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1,3,4,5,6},{2}} => 4
[2,3,5,1,4,6] => [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,5,1,6,4] => [5,2,3,1,4,6] => {{1,4,5},{2},{3},{6}} => {{1,2},{3},{4,5,6}} => 3
[2,3,5,4,1,6] => [6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}} => {{1},{2,4,5,6},{3}} => 2
[2,3,5,4,6,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1,2,4,5,6},{3}} => 4
[2,3,5,6,1,4] => [6,2,3,1,4,5] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,5,6,4,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 3
[2,3,6,1,4,5] => [5,2,3,6,1,4] => {{1,5},{2},{3},{4,6}} => {{1,3},{2,4,5,6}} => 2
[2,3,6,1,5,4] => [5,2,3,1,6,4] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,6,4,1,5] => [6,2,3,5,1,4] => {{1,4,5,6},{2},{3}} => {{1},{2},{3},{4,5,6}} => 2
[2,3,6,4,5,1] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1,4,5,6},{2},{3}} => 3
[2,3,6,5,1,4] => [6,2,3,1,5,4] => {{1,4,6},{2},{3},{5}} => {{1},{2,3},{4,5,6}} => 3
[2,3,6,5,4,1] => [1,2,3,6,5,4] => {{1},{2},{3},{4,6},{5}} => {{1,4,5,6},{2,3}} => 4
[2,4,1,3,5,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,1,3,6,5] => [4,2,5,3,1,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,4,1,5,3,6] => [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,4,1,5,6,3] => [4,2,1,3,5,6] => {{1,3,4},{2},{5},{6}} => {{1,2,3},{4},{5,6}} => 3
[2,4,1,6,3,5] => [4,2,6,3,1,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,1,6,5,3] => [4,2,1,3,6,5] => {{1,3,4},{2},{5,6}} => {{1,3},{2},{4},{5,6}} => 1
[2,4,3,1,5,6] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 1
[2,4,3,1,6,5] => [5,2,4,3,1,6] => {{1,5},{2},{3,4},{6}} => {{1,2},{3,5,6},{4}} => 2
[2,4,3,5,1,6] => [6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}} => {{1},{2,3,5,6},{4}} => 2
[2,4,3,5,6,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1,2,3,5,6},{4}} => 4
[2,4,3,6,1,5] => [6,2,4,3,1,5] => {{1,5,6},{2},{3,4}} => {{1},{2},{3,5,6},{4}} => 1
[2,4,3,6,5,1] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1,3,5,6},{2},{4}} => 2
[2,4,5,1,3,6] => [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,5,1,6,3] => [5,2,1,3,4,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,4,5,3,1,6] => [6,2,5,3,4,1] => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 1
[2,4,5,3,6,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 3
[2,4,5,6,1,3] => [6,2,1,3,4,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,5,6,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,4,6,1,3,5] => [5,2,6,3,1,4] => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 1
[2,4,6,1,5,3] => [5,2,1,3,6,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,6,3,1,5] => [6,2,5,3,1,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,4,6,3,5,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,4,6,5,1,3] => [6,2,1,3,5,4] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,4,6,5,3,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 3
[2,5,1,3,4,6] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => {{1},{2,4},{3,5,6}} => 1
[2,5,1,3,6,4] => [4,2,5,1,3,6] => {{1,4},{2},{3,5},{6}} => {{1,2,4},{3,5,6}} => 2
[2,5,1,4,3,6] => [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,1,4,6,3] => [4,2,1,5,3,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,5,1,6,3,4] => [4,2,6,1,3,5] => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 1
[2,5,1,6,4,3] => [4,2,1,6,3,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,3,1,4,6] => [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,3,1,6,4] => [5,2,4,1,3,6] => {{1,3,4,5},{2},{6}} => {{1,2},{3},{4},{5,6}} => 2
[2,5,3,4,1,6] => [6,2,4,5,3,1] => {{1,6},{2},{3,4,5}} => {{1},{2,5,6},{3},{4}} => 1
[2,5,3,4,6,1] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1,2,5,6},{3},{4}} => 3
[2,5,3,6,1,4] => [6,2,4,1,3,5] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,3,6,4,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,5,4,1,3,6] => [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,5,4,1,6,3] => [5,2,1,4,3,6] => {{1,3,5},{2},{4},{6}} => {{1,2},{3,4},{5,6}} => 3
[2,5,4,3,1,6] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => {{1},{2,5,6},{3,4}} => 2
[2,5,4,3,6,1] => [1,2,5,4,3,6] => {{1},{2},{3,5},{4},{6}} => {{1,2,5,6},{3,4}} => 4
[2,5,4,6,1,3] => [6,2,1,4,3,5] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,5,4,6,3,1] => [1,2,6,4,3,5] => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 3
[2,5,6,1,3,4] => [5,2,6,1,3,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,6,1,4,3] => [5,2,1,6,3,4] => {{1,3,5},{2},{4,6}} => {{1,3},{2,4},{5,6}} => 1
[2,5,6,3,1,4] => [6,2,5,1,3,4] => {{1,4,6},{2},{3,5}} => {{1},{2,4},{3,5,6}} => 1
[2,5,6,3,4,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1,3,5,6},{2,4}} => 2
[2,5,6,4,1,3] => [6,2,1,5,3,4] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,5,6,4,3,1] => [1,2,6,5,3,4] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,6,1,3,4,5] => [4,2,5,6,1,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,1,3,5,4] => [4,2,5,1,6,3] => {{1,4},{2},{3,5,6}} => {{1,4},{2},{3,5,6}} => 1
[2,6,1,4,3,5] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 1
[2,6,1,4,5,3] => [4,2,1,5,6,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,1,5,3,4] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => {{1,4},{2,3,5,6}} => 2
[2,6,1,5,4,3] => [4,2,1,6,5,3] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,6,3,1,4,5] => [5,2,4,6,1,3] => {{1,5},{2},{3,4,6}} => {{1,3},{2,5,6},{4}} => 1
[2,6,3,1,5,4] => [5,2,4,1,6,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,3,4,1,5] => [6,2,4,5,1,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,3,4,5,1] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,6,3,5,1,4] => [6,2,4,1,5,3] => {{1,3,4,6},{2},{5}} => {{1},{2,3},{4},{5,6}} => 2
[2,6,3,5,4,1] => [1,2,4,6,5,3] => {{1},{2},{3,4,6},{5}} => {{1,5,6},{2,3},{4}} => 3
[2,6,4,1,3,5] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => {{1,3,4},{2,5,6}} => 2
[2,6,4,1,5,3] => [5,2,1,4,6,3] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,6,4,3,1,5] => [6,2,5,4,1,3] => {{1,3,5,6},{2},{4}} => {{1},{2},{3,4},{5,6}} => 2
[2,6,4,3,5,1] => [1,2,5,4,6,3] => {{1},{2},{3,5,6},{4}} => {{1,5,6},{2},{3,4}} => 3
[2,6,4,5,1,3] => [6,2,1,4,5,3] => {{1,3,6},{2},{4},{5}} => {{1},{2,3,4},{5,6}} => 3
[2,6,4,5,3,1] => [1,2,6,4,5,3] => {{1},{2},{3,6},{4},{5}} => {{1,5,6},{2,3,4}} => 4
[2,6,5,1,3,4] => [5,2,6,1,4,3] => {{1,4,5},{2},{3,6}} => {{1,4},{2,5,6},{3}} => 1
[2,6,5,1,4,3] => [5,2,1,6,4,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,5,3,1,4] => [6,2,5,1,4,3] => {{1,3,4,5,6},{2}} => {{1},{2},{3},{4},{5,6}} => 1
[2,6,5,3,4,1] => [1,2,5,6,4,3] => {{1},{2},{3,4,5,6}} => {{1,5,6},{2},{3},{4}} => 2
[2,6,5,4,1,3] => [6,2,1,5,4,3] => {{1,3,6},{2},{4,5}} => {{1},{2,4},{3},{5,6}} => 1
[2,6,5,4,3,1] => [1,2,6,5,4,3] => {{1},{2},{3,6},{4,5}} => {{1,5,6},{2,4},{3}} => 2
[3,1,2,4,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,2,4,6,5] => [3,4,2,5,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,1,2,5,4,6] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,1,2,5,6,4] => [3,4,2,1,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[3,1,2,6,4,5] => [3,4,2,6,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,2,6,5,4] => [3,4,2,1,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[3,1,4,2,5,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,1,4,2,6,5] => [3,5,2,4,1,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[3,1,4,5,2,6] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[3,1,4,5,6,2] => [3,1,2,4,5,6] => {{1,2,3},{4},{5},{6}} => {{1,2,3,4},{5},{6}} => 3
[3,1,4,6,2,5] => [3,6,2,4,1,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,1,4,6,5,2] => [3,1,2,4,6,5] => {{1,2,3},{4},{5,6}} => {{1,3,4},{2},{5},{6}} => 1
[3,1,5,2,4,6] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,5,2,6,4] => [3,5,2,1,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,1,5,4,2,6] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[3,1,5,4,6,2] => [3,1,2,5,4,6] => {{1,2,3},{4,5},{6}} => {{1,2,4},{3},{5},{6}} => 1
[3,1,5,6,2,4] => [3,6,2,1,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,5,6,4,2] => [3,1,2,6,4,5] => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 0
[3,1,6,2,4,5] => [3,5,2,6,1,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[3,1,6,2,5,4] => [3,5,2,1,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,6,4,2,5] => [3,6,2,5,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,1,6,4,5,2] => [3,1,2,5,6,4] => {{1,2,3},{4,5,6}} => {{1,4},{2},{3},{5},{6}} => 0
[3,1,6,5,2,4] => [3,6,2,1,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,1,6,5,4,2] => [3,1,2,6,5,4] => {{1,2,3},{4,6},{5}} => {{1,4},{2,3},{5},{6}} => 1
[3,2,1,4,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,1,4,6,5] => [4,3,2,5,1,6] => {{1,4,5},{2,3},{6}} => {{1,2},{3},{4,6},{5}} => 1
[3,2,1,5,4,6] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 1
[3,2,1,5,6,4] => [4,3,2,1,5,6] => {{1,4},{2,3},{5},{6}} => {{1,2,3},{4,6},{5}} => 2
[3,2,1,6,4,5] => [4,3,2,6,1,5] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,1,6,5,4] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => {{1,3},{2},{4,6},{5}} => 0
[3,2,4,1,5,6] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 1
[3,2,4,1,6,5] => [5,3,2,4,1,6] => {{1,5},{2,3},{4},{6}} => {{1,2},{3,4,6},{5}} => 2
[3,2,4,5,1,6] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} => {{1},{2,3,4,6},{5}} => 2
[3,2,4,5,6,1] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1,2,3,4,6},{5}} => 4
[3,2,4,6,1,5] => [6,3,2,4,1,5] => {{1,5,6},{2,3},{4}} => {{1},{2},{3,4,6},{5}} => 1
[3,2,4,6,5,1] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1,3,4,6},{2},{5}} => 2
[3,2,5,1,4,6] => [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,5,1,6,4] => [5,3,2,1,4,6] => {{1,4,5},{2,3},{6}} => {{1,2},{3},{4,6},{5}} => 1
[3,2,5,4,1,6] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => {{1},{2,4,6},{3},{5}} => 0
[3,2,5,4,6,1] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1,2,4,6},{3},{5}} => 2
[3,2,5,6,1,4] => [6,3,2,1,4,5] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,5,6,4,1] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 1
[3,2,6,1,4,5] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => {{1,3},{2,4,6},{5}} => 0
[3,2,6,1,5,4] => [5,3,2,1,6,4] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,6,4,1,5] => [6,3,2,5,1,4] => {{1,4,5,6},{2,3}} => {{1},{2},{3},{4,6},{5}} => 0
[3,2,6,4,5,1] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1,4,6},{2},{3},{5}} => 1
[3,2,6,5,1,4] => [6,3,2,1,5,4] => {{1,4,6},{2,3},{5}} => {{1},{2,3},{4,6},{5}} => 1
[3,2,6,5,4,1] => [1,3,2,6,5,4] => {{1},{2,3},{4,6},{5}} => {{1,4,6},{2,3},{5}} => 2
[3,4,1,2,5,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,1,2,6,5] => [4,5,2,3,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,4,1,5,2,6] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,4,1,5,6,2] => [4,1,2,3,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[3,4,1,6,2,5] => [4,6,2,3,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,1,6,5,2] => [4,1,2,3,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[3,4,2,1,5,6] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 0
[3,4,2,1,6,5] => [5,4,2,3,1,6] => {{1,5},{2,3,4},{6}} => {{1,2},{3,6},{4},{5}} => 1
[3,4,2,5,1,6] => [6,4,2,3,5,1] => {{1,6},{2,3,4},{5}} => {{1},{2,3,6},{4},{5}} => 1
[3,4,2,5,6,1] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1,2,3,6},{4},{5}} => 3
[3,4,2,6,1,5] => [6,4,2,3,1,5] => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 0
[3,4,2,6,5,1] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 1
[3,4,5,1,2,6] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,5,1,6,2] => [5,1,2,3,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,4,5,2,1,6] => [6,5,2,3,4,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[3,4,5,2,6,1] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[3,4,5,6,1,2] => [6,1,2,3,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,5,6,2,1] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,4,6,1,2,5] => [5,6,2,3,1,4] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[3,4,6,1,5,2] => [5,1,2,3,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,6,2,1,5] => [6,5,2,3,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,4,6,2,5,1] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,4,6,5,1,2] => [6,1,2,3,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,4,6,5,2,1] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,5,1,2,4,6] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 0
[3,5,1,2,6,4] => [4,5,2,1,3,6] => {{1,4},{2,3,5},{6}} => {{1,2,4},{3,6},{5}} => 1
[3,5,1,4,2,6] => [4,6,2,5,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,1,4,6,2] => [4,1,2,5,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,5,1,6,2,4] => [4,6,2,1,3,5] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[3,5,1,6,4,2] => [4,1,2,6,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,2,1,4,6] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,2,1,6,4] => [5,4,2,1,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[3,5,2,4,1,6] => [6,4,2,5,3,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[3,5,2,4,6,1] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[3,5,2,6,1,4] => [6,4,2,1,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,2,6,4,1] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,5,4,1,2,6] => [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,5,4,1,6,2] => [5,1,2,4,3,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[3,5,4,2,1,6] => [6,5,2,4,3,1] => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 1
[3,5,4,2,6,1] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 3
[3,5,4,6,1,2] => [6,1,2,4,3,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,5,4,6,2,1] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,5,6,1,2,4] => [5,6,2,1,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,6,1,4,2] => [5,1,2,6,3,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[3,5,6,2,1,4] => [6,5,2,1,3,4] => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 0
[3,5,6,2,4,1] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 1
[3,5,6,4,1,2] => [6,1,2,5,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,5,6,4,2,1] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,6,1,2,4,5] => [4,5,2,6,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,1,2,5,4] => [4,5,2,1,6,3] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[3,6,1,4,2,5] => [4,6,2,5,1,3] => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 0
[3,6,1,4,5,2] => [4,1,2,5,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,1,5,2,4] => [4,6,2,1,5,3] => {{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}} => 1
[3,6,1,5,4,2] => [4,1,2,6,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,6,2,1,4,5] => [5,4,2,6,1,3] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[3,6,2,1,5,4] => [5,4,2,1,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,2,4,1,5] => [6,4,2,5,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,2,4,5,1] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,6,2,5,1,4] => [6,4,2,1,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[3,6,2,5,4,1] => [1,4,2,6,5,3] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[3,6,4,1,2,5] => [5,6,2,4,1,3] => {{1,5},{2,3,6},{4}} => {{1,3,4},{2,6},{5}} => 1
[3,6,4,1,5,2] => [5,1,2,4,6,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,6,4,2,1,5] => [6,5,2,4,1,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[3,6,4,2,5,1] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[3,6,4,5,1,2] => [6,1,2,4,5,3] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[3,6,4,5,2,1] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 3
[3,6,5,1,2,4] => [5,6,2,1,4,3] => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 0
[3,6,5,1,4,2] => [5,1,2,6,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,5,2,1,4] => [6,5,2,1,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[3,6,5,2,4,1] => [1,5,2,6,4,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[3,6,5,4,1,2] => [6,1,2,5,4,3] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[3,6,5,4,2,1] => [1,6,2,5,4,3] => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 1
[4,1,2,3,5,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,1,2,3,6,5] => [3,4,5,2,1,6] => {{1,3,5},{2,4},{6}} => {{1,2},{3,5},{4,6}} => 1
[4,1,2,5,3,6] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => {{1},{2,3,5},{4,6}} => 1
[4,1,2,5,6,3] => [3,4,1,2,5,6] => {{1,3},{2,4},{5},{6}} => {{1,2,3,5},{4,6}} => 2
[4,1,2,6,3,5] => [3,4,6,2,1,5] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,1,2,6,5,3] => [3,4,1,2,6,5] => {{1,3},{2,4},{5,6}} => {{1,3,5},{2},{4,6}} => 0
[4,1,3,2,5,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,3,2,6,5] => [3,5,4,2,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,1,3,5,2,6] => [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,1,3,5,6,2] => [3,1,4,2,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[4,1,3,6,2,5] => [3,6,4,2,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,3,6,5,2] => [3,1,4,2,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[4,1,5,2,3,6] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 0
[4,1,5,2,6,3] => [3,5,1,2,4,6] => {{1,3},{2,4,5},{6}} => {{1,2,5},{3},{4,6}} => 1
[4,1,5,3,2,6] => [3,6,5,2,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,5,3,6,2] => [3,1,5,2,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,1,5,6,2,3] => [3,6,1,2,4,5] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[4,1,5,6,3,2] => [3,1,6,2,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,6,2,3,5] => [3,5,6,2,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,6,2,5,3] => [3,5,1,2,6,4] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[4,1,6,3,2,5] => [3,6,5,2,1,4] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 0
[4,1,6,3,5,2] => [3,1,5,2,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,1,6,5,2,3] => [3,6,1,2,5,4] => {{1,3},{2,4,6},{5}} => {{1,5},{2,3},{4,6}} => 1
[4,1,6,5,3,2] => [3,1,6,2,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,2,1,3,5,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,1,3,6,5] => [4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,2,1,5,3,6] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,2,1,5,6,3] => [4,3,1,2,5,6] => {{1,2,3,4},{5},{6}} => {{1,2,3},{4},{5},{6}} => 2
[4,2,1,6,3,5] => [4,3,6,2,1,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,1,6,5,3] => [4,3,1,2,6,5] => {{1,2,3,4},{5,6}} => {{1,3},{2},{4},{5},{6}} => 0
[4,2,3,1,5,6] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 0
[4,2,3,1,6,5] => [5,3,4,2,1,6] => {{1,5},{2,3,4},{6}} => {{1,2},{3,6},{4},{5}} => 1
[4,2,3,5,1,6] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} => {{1},{2,3,6},{4},{5}} => 1
[4,2,3,5,6,1] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1,2,3,6},{4},{5}} => 3
[4,2,3,6,1,5] => [6,3,4,2,1,5] => {{1,5,6},{2,3,4}} => {{1},{2},{3,6},{4},{5}} => 0
[4,2,3,6,5,1] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1,3,6},{2},{4},{5}} => 1
[4,2,5,1,3,6] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,5,1,6,3] => [5,3,1,2,4,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,2,5,3,1,6] => [6,3,5,2,4,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[4,2,5,3,6,1] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[4,2,5,6,1,3] => [6,3,1,2,4,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,5,6,3,1] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[4,2,6,1,3,5] => [5,3,6,2,1,4] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[4,2,6,1,5,3] => [5,3,1,2,6,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,6,3,1,5] => [6,3,5,2,1,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,2,6,3,5,1] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[4,2,6,5,1,3] => [6,3,1,2,5,4] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,2,6,5,3,1] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[4,3,1,2,5,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,1,2,6,5] => [4,5,3,2,1,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[4,3,1,5,2,6] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[4,3,1,5,6,2] => [4,1,3,2,5,6] => {{1,2,4},{3},{5},{6}} => {{1,2,3},{4,5},{6}} => 3
[4,3,1,6,2,5] => [4,6,3,2,1,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,1,6,5,2] => [4,1,3,2,6,5] => {{1,2,4},{3},{5,6}} => {{1,3},{2},{4,5},{6}} => 1
[4,3,2,1,5,6] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 1
[4,3,2,1,6,5] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} => {{1,2},{3,6},{4,5}} => 2
[4,3,2,5,1,6] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => {{1},{2,3,6},{4,5}} => 2
[4,3,2,5,6,1] => [1,4,3,2,5,6] => {{1},{2,4},{3},{5},{6}} => {{1,2,3,6},{4,5}} => 4
[4,3,2,6,1,5] => [6,4,3,2,1,5] => {{1,5,6},{2,4},{3}} => {{1},{2},{3,6},{4,5}} => 1
[4,3,2,6,5,1] => [1,4,3,2,6,5] => {{1},{2,4},{3},{5,6}} => {{1,3,6},{2},{4,5}} => 2
[4,3,5,1,2,6] => [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,5,1,6,2] => [5,1,3,2,4,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[4,3,5,2,1,6] => [6,5,3,2,4,1] => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 1
[4,3,5,2,6,1] => [1,5,3,2,4,6] => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 3
[4,3,5,6,1,2] => [6,1,3,2,4,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,5,6,2,1] => [1,6,3,2,4,5] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[4,3,6,1,2,5] => [5,6,3,2,1,4] => {{1,5},{2,4,6},{3}} => {{1,3},{2,6},{4,5}} => 1
[4,3,6,1,5,2] => [5,1,3,2,6,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,6,2,1,5] => [6,5,3,2,1,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[4,3,6,2,5,1] => [1,5,3,2,6,4] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[4,3,6,5,1,2] => [6,1,3,2,5,4] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[4,3,6,5,2,1] => [1,6,3,2,5,4] => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[4,5,1,2,3,6] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,1,2,6,3] => [4,5,1,2,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,5,1,3,2,6] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[4,5,1,3,6,2] => [4,1,5,2,3,6] => {{1,2,4},{3,5},{6}} => {{1,2,4},{3,5},{6}} => 1
[4,5,1,6,2,3] => [4,6,1,2,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,1,6,3,2] => [4,1,6,2,3,5] => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 0
[4,5,2,1,3,6] => [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,5,2,1,6,3] => [5,4,1,2,3,6] => {{1,3,5},{2,4},{6}} => {{1,2},{3,5},{4,6}} => 1
[4,5,2,3,1,6] => [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => {{1},{2,4,6},{3,5}} => 0
[4,5,2,3,6,1] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1,2,4,6},{3,5}} => 2
[4,5,2,6,1,3] => [6,4,1,2,3,5] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,5,2,6,3,1] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 1
[4,5,3,1,2,6] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,3,1,6,2] => [5,1,4,2,3,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[4,5,3,2,1,6] => [6,5,4,2,3,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[4,5,3,2,6,1] => [1,5,4,2,3,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[4,5,3,6,1,2] => [6,1,4,2,3,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,3,6,2,1] => [1,6,4,2,3,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[4,5,6,1,2,3] => [5,6,1,2,3,4] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 0
[4,5,6,1,3,2] => [5,1,6,2,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,6,2,1,3] => [6,5,1,2,3,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,5,6,2,3,1] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[4,5,6,3,1,2] => [6,1,5,2,3,4] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[4,5,6,3,2,1] => [1,6,5,2,3,4] => {{1},{2,4,6},{3,5}} => {{1,6},{2,4},{3,5}} => 1
[4,6,1,2,3,5] => [4,5,6,2,1,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[4,6,1,2,5,3] => [4,5,1,2,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,1,3,2,5] => [4,6,5,2,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,1,3,5,2] => [4,1,5,2,6,3] => {{1,2,4},{3,5,6}} => {{1,4},{2},{3,5},{6}} => 0
[4,6,1,5,2,3] => [4,6,1,2,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,6,1,5,3,2] => [4,1,6,2,5,3] => {{1,2,4},{3,6},{5}} => {{1,4},{2,3,5},{6}} => 1
[4,6,2,1,3,5] => [5,4,6,2,1,3] => {{1,5},{2,4},{3,6}} => {{1,4},{2,6},{3,5}} => 0
[4,6,2,1,5,3] => [5,4,1,2,6,3] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,6,2,3,1,5] => [6,4,5,2,1,3] => {{1,3,5,6},{2,4}} => {{1},{2},{3,5},{4,6}} => 0
[4,6,2,3,5,1] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1,4,6},{2},{3,5}} => 1
[4,6,2,5,1,3] => [6,4,1,2,5,3] => {{1,3,6},{2,4},{5}} => {{1},{2,3,5},{4,6}} => 1
[4,6,2,5,3,1] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1,4,6},{2,3,5}} => 2
[4,6,3,1,2,5] => [5,6,4,2,1,3] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[4,6,3,1,5,2] => [5,1,4,2,6,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,3,2,1,5] => [6,5,4,2,1,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,3,2,5,1] => [1,5,4,2,6,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[4,6,3,5,1,2] => [6,1,4,2,5,3] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[4,6,3,5,2,1] => [1,6,4,2,5,3] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[4,6,5,1,2,3] => [5,6,1,2,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,5,1,3,2] => [5,1,6,2,4,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[4,6,5,2,1,3] => [6,5,1,2,4,3] => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 0
[4,6,5,2,3,1] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 1
[4,6,5,3,1,2] => [6,1,5,2,4,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[4,6,5,3,2,1] => [1,6,5,2,4,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,1,2,3,4,6] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,1,2,3,6,4] => [3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,1,2,4,3,6] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 0
[5,1,2,4,6,3] => [3,4,1,5,2,6] => {{1,3},{2,4,5},{6}} => {{1,2,5},{3},{4,6}} => 1
[5,1,2,6,3,4] => [3,4,6,1,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,1,2,6,4,3] => [3,4,1,6,2,5] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[5,1,3,2,4,6] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,1,3,2,6,4] => [3,5,4,1,2,6] => {{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}} => 1
[5,1,3,4,2,6] => [3,6,4,5,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,1,3,4,6,2] => [3,1,4,5,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,1,3,6,2,4] => [3,6,4,1,2,5] => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 0
[5,1,3,6,4,2] => [3,1,4,6,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,1,4,2,3,6] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => {{1},{2,5},{3,4,6}} => 1
[5,1,4,2,6,3] => [3,5,1,4,2,6] => {{1,3},{2,5},{4},{6}} => {{1,2,5},{3,4,6}} => 2
[5,1,4,3,2,6] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,1,4,3,6,2] => [3,1,5,4,2,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[5,1,4,6,2,3] => [3,6,1,4,2,5] => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 1
[5,1,4,6,3,2] => [3,1,6,4,2,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,1,6,2,3,4] => [3,5,6,1,2,4] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,1,6,2,4,3] => [3,5,1,6,2,4] => {{1,3},{2,5},{4,6}} => {{1,3},{2,5},{4,6}} => 0
[5,1,6,3,2,4] => [3,6,5,1,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,1,6,3,4,2] => [3,1,5,6,2,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[5,1,6,4,2,3] => [3,6,1,5,2,4] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[5,1,6,4,3,2] => [3,1,6,5,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,1,3,4,6] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 0
[5,2,1,3,6,4] => [4,3,5,1,2,6] => {{1,4},{2,3,5},{6}} => {{1,2,4},{3,6},{5}} => 1
[5,2,1,4,3,6] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,1,4,6,3] => [4,3,1,5,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,2,1,6,3,4] => [4,3,6,1,2,5] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[5,2,1,6,4,3] => [4,3,1,6,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,3,1,4,6] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,3,1,6,4] => [5,3,4,1,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,2,3,4,1,6] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[5,2,3,4,6,1] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[5,2,3,6,1,4] => [6,3,4,1,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,3,6,4,1] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,2,4,1,3,6] => [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,2,4,1,6,3] => [5,3,1,4,2,6] => {{1,2,3,5},{4},{6}} => {{1,2},{3,4},{5},{6}} => 2
[5,2,4,3,1,6] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => {{1},{2,6},{3,4},{5}} => 1
[5,2,4,3,6,1] => [1,3,5,4,2,6] => {{1},{2,3,5},{4},{6}} => {{1,2,6},{3,4},{5}} => 3
[5,2,4,6,1,3] => [6,3,1,4,2,5] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,2,4,6,3,1] => [1,3,6,4,2,5] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[5,2,6,1,3,4] => [5,3,6,1,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,6,1,4,3] => [5,3,1,6,2,4] => {{1,2,3,5},{4,6}} => {{1,3},{2,4},{5},{6}} => 0
[5,2,6,3,1,4] => [6,3,5,1,2,4] => {{1,4,6},{2,3,5}} => {{1},{2,4},{3,6},{5}} => 0
[5,2,6,3,4,1] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1,3,6},{2,4},{5}} => 1
[5,2,6,4,1,3] => [6,3,1,5,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,2,6,4,3,1] => [1,3,6,5,2,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,3,1,2,4,6] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}} => 1
[5,3,1,2,6,4] => [4,5,3,1,2,6] => {{1,4},{2,5},{3},{6}} => {{1,2,4,5},{3,6}} => 2
[5,3,1,4,2,6] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,1,4,6,2] => [4,1,3,5,2,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[5,3,1,6,2,4] => [4,6,3,1,2,5] => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 1
[5,3,1,6,4,2] => [4,1,3,6,2,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,2,1,4,6] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,2,1,6,4] => [5,4,3,1,2,6] => {{1,2,4,5},{3},{6}} => {{1,2},{3},{4,5},{6}} => 2
[5,3,2,4,1,6] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => {{1},{2,6},{3},{4,5}} => 1
[5,3,2,4,6,1] => [1,4,3,5,2,6] => {{1},{2,4,5},{3},{6}} => {{1,2,6},{3},{4,5}} => 3
[5,3,2,6,1,4] => [6,4,3,1,2,5] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,2,6,4,1] => [1,4,3,6,2,5] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,3,4,1,2,6] => [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[5,3,4,1,6,2] => [5,1,3,4,2,6] => {{1,2,5},{3},{4},{6}} => {{1,2},{3,4,5},{6}} => 3
[5,3,4,2,1,6] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => {{1},{2,6},{3,4,5}} => 2
[5,3,4,2,6,1] => [1,5,3,4,2,6] => {{1},{2,5},{3},{4},{6}} => {{1,2,6},{3,4,5}} => 4
[5,3,4,6,1,2] => [6,1,3,4,2,5] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[5,3,4,6,2,1] => [1,6,3,4,2,5] => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 3
[5,3,6,1,2,4] => [5,6,3,1,2,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,6,1,4,2] => [5,1,3,6,2,4] => {{1,2,5},{3},{4,6}} => {{1,3},{2,4,5},{6}} => 1
[5,3,6,2,1,4] => [6,5,3,1,2,4] => {{1,4,6},{2,5},{3}} => {{1},{2,4,5},{3,6}} => 1
[5,3,6,2,4,1] => [1,5,3,6,2,4] => {{1},{2,5},{3},{4,6}} => {{1,3,6},{2,4,5}} => 2
[5,3,6,4,1,2] => [6,1,3,5,2,4] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[5,3,6,4,2,1] => [1,6,3,5,2,4] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[5,4,1,2,3,6] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,4,1,2,6,3] => [4,5,1,3,2,6] => {{1,3,4},{2,5},{6}} => {{1,2,5},{3,6},{4}} => 1
[5,4,1,3,2,6] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,1,3,6,2] => [4,1,5,3,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,4,1,6,2,3] => [4,6,1,3,2,5] => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 0
[5,4,1,6,3,2] => [4,1,6,3,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,2,1,3,6] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,2,1,6,3] => [5,4,1,3,2,6] => {{1,2,3,4,5},{6}} => {{1,2},{3},{4},{5},{6}} => 1
[5,4,2,3,1,6] => [6,4,5,3,2,1] => {{1,6},{2,3,4,5}} => {{1},{2,6},{3},{4},{5}} => 0
[5,4,2,3,6,1] => [1,4,5,3,2,6] => {{1},{2,3,4,5},{6}} => {{1,2,6},{3},{4},{5}} => 2
[5,4,2,6,1,3] => [6,4,1,3,2,5] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,2,6,3,1] => [1,4,6,3,2,5] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,4,3,1,2,6] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[5,4,3,1,6,2] => [5,1,4,3,2,6] => {{1,2,5},{3,4},{6}} => {{1,2},{3,5},{4},{6}} => 1
[5,4,3,2,1,6] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => {{1},{2,6},{3,5},{4}} => 0
[5,4,3,2,6,1] => [1,5,4,3,2,6] => {{1},{2,5},{3,4},{6}} => {{1,2,6},{3,5},{4}} => 2
[5,4,3,6,1,2] => [6,1,4,3,2,5] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[5,4,3,6,2,1] => [1,6,4,3,2,5] => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 1
[5,4,6,1,2,3] => [5,6,1,3,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,6,1,3,2] => [5,1,6,3,2,4] => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 0
[5,4,6,2,1,3] => [6,5,1,3,2,4] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,4,6,2,3,1] => [1,5,6,3,2,4] => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 1
[5,4,6,3,1,2] => [6,1,5,3,2,4] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,4,6,3,2,1] => [1,6,5,3,2,4] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,6,1,2,3,4] => [4,5,6,1,2,3] => {{1,4},{2,5},{3,6}} => {{1,4},{2,5},{3,6}} => 0
[5,6,1,2,4,3] => [4,5,1,6,2,3] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,6,1,3,2,4] => [4,6,5,1,2,3] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[5,6,1,3,4,2] => [4,1,5,6,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,1,4,2,3] => [4,6,1,5,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,1,4,3,2] => [4,1,6,5,2,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[5,6,2,1,3,4] => [5,4,6,1,2,3] => {{1,2,4,5},{3,6}} => {{1,4},{2,5},{3},{6}} => 0
[5,6,2,1,4,3] => [5,4,1,6,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,2,3,1,4] => [6,4,5,1,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,2,3,4,1] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,6,2,4,1,3] => [6,4,1,5,2,3] => {{1,3,6},{2,4,5}} => {{1},{2,5},{3},{4,6}} => 0
[5,6,2,4,3,1] => [1,4,6,5,2,3] => {{1},{2,4,5},{3,6}} => {{1,4,6},{2,5},{3}} => 1
[5,6,3,1,2,4] => [5,6,4,1,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,3,1,4,2] => [5,1,4,6,2,3] => {{1,2,5},{3,4,6}} => {{1,3},{2,5},{4},{6}} => 0
[5,6,3,2,1,4] => [6,5,4,1,2,3] => {{1,3,4,6},{2,5}} => {{1},{2,5},{3,6},{4}} => 0
[5,6,3,2,4,1] => [1,5,4,6,2,3] => {{1},{2,5},{3,4,6}} => {{1,3,6},{2,5},{4}} => 1
[5,6,3,4,1,2] => [6,1,4,5,2,3] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[5,6,3,4,2,1] => [1,6,4,5,2,3] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[5,6,4,1,2,3] => [5,6,1,4,2,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,6,4,1,3,2] => [5,1,6,4,2,3] => {{1,2,5},{3,6},{4}} => {{1,3,4},{2,5},{6}} => 1
[5,6,4,2,1,3] => [6,5,1,4,2,3] => {{1,3,6},{2,5},{4}} => {{1},{2,5},{3,4,6}} => 1
[5,6,4,2,3,1] => [1,5,6,4,2,3] => {{1},{2,5},{3,6},{4}} => {{1,3,4,6},{2,5}} => 2
[5,6,4,3,1,2] => [6,1,5,4,2,3] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[5,6,4,3,2,1] => [1,6,5,4,2,3] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[6,1,2,3,4,5] => [3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 0
[6,1,2,3,5,4] => [3,4,5,1,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,2,4,3,5] => [3,4,6,5,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,2,4,5,3] => [3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[6,1,2,5,3,4] => [3,4,6,1,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,1,2,5,4,3] => [3,4,1,6,5,2] => {{1,3},{2,4,6},{5}} => {{1,5},{2,3},{4,6}} => 1
[6,1,3,2,4,5] => [3,5,4,6,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,3,2,5,4] => [3,5,4,1,6,2] => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 0
[6,1,3,4,2,5] => [3,6,4,5,1,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,1,3,4,5,2] => [3,1,4,5,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,3,5,2,4] => [3,6,4,1,5,2] => {{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}} => 1
[6,1,3,5,4,2] => [3,1,4,6,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,1,4,2,3,5] => [3,5,6,4,1,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,1,4,2,5,3] => [3,5,1,4,6,2] => {{1,3},{2,5,6},{4}} => {{1,5},{2},{3,4,6}} => 1
[6,1,4,3,2,5] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}} => 1
[6,1,4,3,5,2] => [3,1,5,4,6,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,1,4,5,2,3] => [3,6,1,4,5,2] => {{1,3},{2,6},{4},{5}} => {{1,5},{2,3,4,6}} => 2
[6,1,4,5,3,2] => [3,1,6,4,5,2] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[6,1,5,2,3,4] => [3,5,6,1,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,5,2,4,3] => [3,5,1,6,4,2] => {{1,3},{2,4,5,6}} => {{1,5},{2},{3},{4,6}} => 0
[6,1,5,3,2,4] => [3,6,5,1,4,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,1,5,3,4,2] => [3,1,5,6,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,1,5,4,2,3] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => {{1,5},{2,4,6},{3}} => 0
[6,1,5,4,3,2] => [3,1,6,5,4,2] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[6,2,1,3,4,5] => [4,3,5,6,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,1,3,5,4] => [4,3,5,1,6,2] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[6,2,1,4,3,5] => [4,3,6,5,1,2] => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 0
[6,2,1,4,5,3] => [4,3,1,5,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,1,5,3,4] => [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => {{1,4},{2,3,6},{5}} => 1
[6,2,1,5,4,3] => [4,3,1,6,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,2,3,1,4,5] => [5,3,4,6,1,2] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[6,2,3,1,5,4] => [5,3,4,1,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,3,4,1,5] => [6,3,4,5,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,3,4,5,1] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,2,3,5,1,4] => [6,3,4,1,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,2,3,5,4,1] => [1,3,4,6,5,2] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[6,2,4,1,3,5] => [5,3,6,4,1,2] => {{1,5},{2,3,6},{4}} => {{1,3,4},{2,6},{5}} => 1
[6,2,4,1,5,3] => [5,3,1,4,6,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,2,4,3,1,5] => [6,3,5,4,1,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,2,4,3,5,1] => [1,3,5,4,6,2] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[6,2,4,5,1,3] => [6,3,1,4,5,2] => {{1,2,3,6},{4},{5}} => {{1},{2,3,4},{5},{6}} => 2
[6,2,4,5,3,1] => [1,3,6,4,5,2] => {{1},{2,3,6},{4},{5}} => {{1,6},{2,3,4},{5}} => 3
[6,2,5,1,3,4] => [5,3,6,1,4,2] => {{1,4,5},{2,3,6}} => {{1,4},{2,6},{3},{5}} => 0
[6,2,5,1,4,3] => [5,3,1,6,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,5,3,1,4] => [6,3,5,1,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,2,5,3,4,1] => [1,3,5,6,4,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,2,5,4,1,3] => [6,3,1,5,4,2] => {{1,2,3,6},{4,5}} => {{1},{2,4},{3},{5},{6}} => 0
[6,2,5,4,3,1] => [1,3,6,5,4,2] => {{1},{2,3,6},{4,5}} => {{1,6},{2,4},{3},{5}} => 1
[6,3,1,2,4,5] => [4,5,3,6,1,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,1,2,5,4] => [4,5,3,1,6,2] => {{1,4},{2,5,6},{3}} => {{1,4,5},{2},{3,6}} => 1
[6,3,1,4,2,5] => [4,6,3,5,1,2] => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 1
[6,3,1,4,5,2] => [4,1,3,5,6,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,1,5,2,4] => [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => {{1,4,5},{2,3,6}} => 2
[6,3,1,5,4,2] => [4,1,3,6,5,2] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[6,3,2,1,4,5] => [5,4,3,6,1,2] => {{1,5},{2,4,6},{3}} => {{1,3},{2,6},{4,5}} => 1
[6,3,2,1,5,4] => [5,4,3,1,6,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,2,4,1,5] => [6,4,3,5,1,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,2,4,5,1] => [1,4,3,5,6,2] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[6,3,2,5,1,4] => [6,4,3,1,5,2] => {{1,2,4,6},{3},{5}} => {{1},{2,3},{4,5},{6}} => 2
[6,3,2,5,4,1] => [1,4,3,6,5,2] => {{1},{2,4,6},{3},{5}} => {{1,6},{2,3},{4,5}} => 3
[6,3,4,1,2,5] => [5,6,3,4,1,2] => {{1,5},{2,6},{3},{4}} => {{1,3,4,5},{2,6}} => 2
[6,3,4,1,5,2] => [5,1,3,4,6,2] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[6,3,4,2,1,5] => [6,5,3,4,1,2] => {{1,2,5,6},{3},{4}} => {{1},{2},{3,4,5},{6}} => 2
[6,3,4,2,5,1] => [1,5,3,4,6,2] => {{1},{2,5,6},{3},{4}} => {{1,6},{2},{3,4,5}} => 3
[6,3,4,5,1,2] => [6,1,3,4,5,2] => {{1,2,6},{3},{4},{5}} => {{1},{2,3,4,5},{6}} => 3
[6,3,4,5,2,1] => [1,6,3,4,5,2] => {{1},{2,6},{3},{4},{5}} => {{1,6},{2,3,4,5}} => 4
[6,3,5,1,2,4] => [5,6,3,1,4,2] => {{1,4,5},{2,6},{3}} => {{1,4,5},{2,6},{3}} => 1
[6,3,5,1,4,2] => [5,1,3,6,4,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,5,2,1,4] => [6,5,3,1,4,2] => {{1,2,4,5,6},{3}} => {{1},{2},{3},{4,5},{6}} => 1
[6,3,5,2,4,1] => [1,5,3,6,4,2] => {{1},{2,4,5,6},{3}} => {{1,6},{2},{3},{4,5}} => 2
[6,3,5,4,1,2] => [6,1,3,5,4,2] => {{1,2,6},{3},{4,5}} => {{1},{2,4,5},{3},{6}} => 1
[6,3,5,4,2,1] => [1,6,3,5,4,2] => {{1},{2,6},{3},{4,5}} => {{1,6},{2,4,5},{3}} => 2
[6,4,1,2,3,5] => [4,5,6,3,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,1,2,5,3] => [4,5,1,3,6,2] => {{1,3,4},{2,5,6}} => {{1,5},{2},{3,6},{4}} => 0
[6,4,1,3,2,5] => [4,6,5,3,1,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,4,1,3,5,2] => [4,1,5,3,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,1,5,2,3] => [4,6,1,3,5,2] => {{1,3,4},{2,6},{5}} => {{1,5},{2,3,6},{4}} => 1
[6,4,1,5,3,2] => [4,1,6,3,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,4,2,1,3,5] => [5,4,6,3,1,2] => {{1,5},{2,3,4,6}} => {{1,3},{2,6},{4},{5}} => 0
[6,4,2,1,5,3] => [5,4,1,3,6,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,2,3,1,5] => [6,4,5,3,1,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,2,3,5,1] => [1,4,5,3,6,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,4,2,5,1,3] => [6,4,1,3,5,2] => {{1,2,3,4,6},{5}} => {{1},{2,3},{4},{5},{6}} => 1
[6,4,2,5,3,1] => [1,4,6,3,5,2] => {{1},{2,3,4,6},{5}} => {{1,6},{2,3},{4},{5}} => 2
[6,4,3,1,2,5] => [5,6,4,3,1,2] => {{1,5},{2,6},{3,4}} => {{1,3,5},{2,6},{4}} => 0
[6,4,3,1,5,2] => [5,1,4,3,6,2] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[6,4,3,2,1,5] => [6,5,4,3,1,2] => {{1,2,5,6},{3,4}} => {{1},{2},{3,5},{4},{6}} => 0
[6,4,3,2,5,1] => [1,5,4,3,6,2] => {{1},{2,5,6},{3,4}} => {{1,6},{2},{3,5},{4}} => 1
[6,4,3,5,1,2] => [6,1,4,3,5,2] => {{1,2,6},{3,4},{5}} => {{1},{2,3,5},{4},{6}} => 1
[6,4,3,5,2,1] => [1,6,4,3,5,2] => {{1},{2,6},{3,4},{5}} => {{1,6},{2,3,5},{4}} => 2
[6,4,5,1,2,3] => [5,6,1,3,4,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,4,5,1,3,2] => [5,1,6,3,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,5,2,1,3] => [6,5,1,3,4,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,4,5,2,3,1] => [1,5,6,3,4,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,4,5,3,1,2] => [6,1,5,3,4,2] => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 0
[6,4,5,3,2,1] => [1,6,5,3,4,2] => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 1
[6,5,1,2,3,4] => [4,5,6,1,3,2] => {{1,4},{2,3,5,6}} => {{1,4},{2},{3,6},{5}} => 0
[6,5,1,2,4,3] => [4,5,1,6,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,1,3,2,4] => [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => {{1,5},{2,4},{3,6}} => 0
[6,5,1,3,4,2] => [4,1,5,6,3,2] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[6,5,1,4,2,3] => [4,6,1,5,3,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,5,1,4,3,2] => [4,1,6,5,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,2,1,3,4] => [5,4,6,1,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,2,1,4,3] => [5,4,1,6,3,2] => {{1,3,5},{2,4,6}} => {{1,3,5},{2,4,6}} => 0
[6,5,2,3,1,4] => [6,4,5,1,3,2] => {{1,2,4,6},{3,5}} => {{1},{2,4},{3,5},{6}} => 0
[6,5,2,3,4,1] => [1,4,5,6,3,2] => {{1},{2,4,6},{3,5}} => {{1,6},{2,4},{3,5}} => 1
[6,5,2,4,1,3] => [6,4,1,5,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,2,4,3,1] => [1,4,6,5,3,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,5,3,1,2,4] => [5,6,4,1,3,2] => {{1,3,4,5},{2,6}} => {{1,5},{2,6},{3},{4}} => 0
[6,5,3,1,4,2] => [5,1,4,6,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,3,2,1,4] => [6,5,4,1,3,2] => {{1,2,3,4,5,6}} => {{1},{2},{3},{4},{5},{6}} => 0
[6,5,3,2,4,1] => [1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => {{1,6},{2},{3},{4},{5}} => 1
[6,5,3,4,1,2] => [6,1,4,5,3,2] => {{1,2,6},{3,4,5}} => {{1},{2,5},{3},{4},{6}} => 0
[6,5,3,4,2,1] => [1,6,4,5,3,2] => {{1},{2,6},{3,4,5}} => {{1,6},{2,5},{3},{4}} => 1
[6,5,4,1,2,3] => [5,6,1,4,3,2] => {{1,3,5},{2,6},{4}} => {{1,5},{2,6},{3,4}} => 1
[6,5,4,1,3,2] => [5,1,6,4,3,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,5,4,2,1,3] => [6,5,1,4,3,2] => {{1,2,3,5,6},{4}} => {{1},{2},{3,4},{5},{6}} => 1
[6,5,4,2,3,1] => [1,5,6,4,3,2] => {{1},{2,3,5,6},{4}} => {{1,6},{2},{3,4},{5}} => 2
[6,5,4,3,1,2] => [6,1,5,4,3,2] => {{1,2,6},{3,5},{4}} => {{1},{2,5},{3,4},{6}} => 1
[6,5,4,3,2,1] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => {{1,6},{2,5},{3,4}} => 2
[1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,4,5,7,6] => [2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,3,4,6,5,7] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,3,4,6,7,5] => [2,3,4,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,2,3,4,7,5,6] => [2,3,4,5,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,4,7,6,5] => [2,3,4,5,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,2,3,5,4,6,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,3,5,4,7,6] => [2,3,4,6,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,2,3,5,6,4,7] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,2,3,5,6,7,4] => [2,3,4,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[1,2,3,5,7,4,6] => [2,3,4,7,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,3,5,7,6,4] => [2,3,4,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[1,2,3,6,4,5,7] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,6,4,7,5] => [2,3,4,6,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,3,6,5,4,7] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,2,3,6,5,7,4] => [2,3,4,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[1,2,3,6,7,4,5] => [2,3,4,7,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,6,7,5,4] => [2,3,4,1,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[1,2,3,7,4,5,6] => [2,3,4,6,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,2,3,7,4,6,5] => [2,3,4,6,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,7,5,4,6] => [2,3,4,7,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,3,7,5,6,4] => [2,3,4,1,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[1,2,3,7,6,4,5] => [2,3,4,7,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,3,7,6,5,4] => [2,3,4,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[1,2,4,3,5,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,3,5,7,6] => [2,3,5,4,6,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,2,4,3,6,5,7] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,2,4,3,6,7,5] => [2,3,5,4,1,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[1,2,4,3,7,5,6] => [2,3,5,4,7,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,3,7,6,5] => [2,3,5,4,1,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[1,2,4,5,3,6,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,2,4,5,3,7,6] => [2,3,6,4,5,1,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[1,2,4,5,6,3,7] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[1,2,4,5,6,7,3] => [2,3,1,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => 4
[1,2,4,5,7,3,6] => [2,3,7,4,5,1,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,2,4,5,7,6,3] => [2,3,1,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 2
[1,2,4,6,3,5,7] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,6,3,7,5] => [2,3,6,4,1,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,2,4,6,5,3,7] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[1,2,4,6,5,7,3] => [2,3,1,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 2
[1,2,4,6,7,3,5] => [2,3,7,4,1,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,6,7,5,3] => [2,3,1,4,7,5,6] => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 1
[1,2,4,7,3,5,6] => [2,3,6,4,7,1,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[1,2,4,7,3,6,5] => [2,3,6,4,1,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,7,5,3,6] => [2,3,7,4,6,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,2,4,7,5,6,3] => [2,3,1,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 1
[1,2,4,7,6,3,5] => [2,3,7,4,1,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,2,4,7,6,5,3] => [2,3,1,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 2
[1,2,5,3,4,6,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,3,4,7,6] => [2,3,5,6,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,5,3,6,4,7] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,5,3,6,7,4] => [2,3,5,1,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,2,5,3,7,4,6] => [2,3,5,7,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,3,7,6,4] => [2,3,5,1,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,2,5,4,3,6,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,2,5,4,3,7,6] => [2,3,6,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[1,2,5,4,6,3,7] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[1,2,5,4,6,7,3] => [2,3,1,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 2
[1,2,5,4,7,3,6] => [2,3,7,5,4,1,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,2,5,4,7,6,3] => [2,3,1,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 0
[1,2,5,6,3,4,7] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,6,3,7,4] => [2,3,6,1,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,5,6,4,3,7] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[1,2,5,6,4,7,3] => [2,3,1,6,4,5,7] => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 1
[1,2,5,6,7,3,4] => [2,3,7,1,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,6,7,4,3] => [2,3,1,7,4,5,6] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,5,7,3,4,6] => [2,3,6,7,4,1,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[1,2,5,7,3,6,4] => [2,3,6,1,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,7,4,3,6] => [2,3,7,6,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,5,7,4,6,3] => [2,3,1,6,4,7,5] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,5,7,6,3,4] => [2,3,7,1,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,5,7,6,4,3] => [2,3,1,7,4,6,5] => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 1
[1,2,6,3,4,5,7] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,2,6,3,4,7,5] => [2,3,5,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[1,2,6,3,5,4,7] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,3,5,7,4] => [2,3,5,1,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,6,3,7,4,5] => [2,3,5,7,1,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[1,2,6,3,7,5,4] => [2,3,5,1,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,4,3,5,7] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,4,3,7,5] => [2,3,6,5,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,2,6,4,5,3,7] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[1,2,6,4,5,7,3] => [2,3,1,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 1
[1,2,6,4,7,3,5] => [2,3,7,5,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,4,7,5,3] => [2,3,1,5,7,4,6] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,6,5,3,4,7] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,6,5,3,7,4] => [2,3,6,1,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,2,6,5,4,3,7] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[1,2,6,5,4,7,3] => [2,3,1,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => {{1,2,5},{3,4},{6},{7}} => 2
[1,2,6,5,7,3,4] => [2,3,7,1,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,6,5,7,4,3] => [2,3,1,7,5,4,6] => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 1
[1,2,6,7,3,4,5] => [2,3,6,7,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,7,3,5,4] => [2,3,6,1,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,2,6,7,4,3,5] => [2,3,7,6,1,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,2,6,7,4,5,3] => [2,3,1,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => {{1,3,5},{2,4},{6},{7}} => 0
[1,2,6,7,5,3,4] => [2,3,7,1,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,6,7,5,4,3] => [2,3,1,7,6,4,5] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,7,3,4,5,6] => [2,3,5,6,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,3,4,6,5] => [2,3,5,6,1,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[1,2,7,3,5,4,6] => [2,3,5,7,6,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,2,7,3,5,6,4] => [2,3,5,1,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,3,6,4,5] => [2,3,5,7,1,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[1,2,7,3,6,5,4] => [2,3,5,1,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,7,4,3,5,6] => [2,3,6,5,7,1,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[1,2,7,4,3,6,5] => [2,3,6,5,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,4,5,3,6] => [2,3,7,5,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,4,5,6,3] => [2,3,1,5,6,7,4] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,7,4,6,3,5] => [2,3,7,5,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,2,7,4,6,5,3] => [2,3,1,5,7,6,4] => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 1
[1,2,7,5,3,4,6] => [2,3,6,7,5,1,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[1,2,7,5,3,6,4] => [2,3,6,1,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,7,5,4,3,6] => [2,3,7,6,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,2,7,5,4,6,3] => [2,3,1,6,5,7,4] => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 1
[1,2,7,5,6,3,4] => [2,3,7,1,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,2,7,5,6,4,3] => [2,3,1,7,5,6,4] => {{1,2,3},{4,7},{5},{6}} => {{1,5},{2,3,4},{6},{7}} => 2
[1,2,7,6,3,4,5] => [2,3,6,7,1,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,2,7,6,3,5,4] => [2,3,6,1,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,6,4,3,5] => [2,3,7,6,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,2,7,6,4,5,3] => [2,3,1,6,7,5,4] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[1,2,7,6,5,3,4] => [2,3,7,1,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,2,7,6,5,4,3] => [2,3,1,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 0
[1,3,2,4,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,4,5,7,6] => [2,4,3,5,6,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,2,4,6,5,7] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,2,4,6,7,5] => [2,4,3,5,1,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[1,3,2,4,7,5,6] => [2,4,3,5,7,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,4,7,6,5] => [2,4,3,5,1,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[1,3,2,5,4,6,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,2,5,4,7,6] => [2,4,3,6,5,1,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[1,3,2,5,6,4,7] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[1,3,2,5,6,7,4] => [2,4,3,1,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => {{1,2,3,4},{5,6},{7}} => 4
[1,3,2,5,7,4,6] => [2,4,3,7,5,1,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,2,5,7,6,4] => [2,4,3,1,5,7,6] => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 2
[1,3,2,6,4,5,7] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,6,4,7,5] => [2,4,3,6,1,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,2,6,5,4,7] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[1,3,2,6,5,7,4] => [2,4,3,1,6,5,7] => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 2
[1,3,2,6,7,4,5] => [2,4,3,7,1,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,6,7,5,4] => [2,4,3,1,7,5,6] => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 1
[1,3,2,7,4,5,6] => [2,4,3,6,7,1,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[1,3,2,7,4,6,5] => [2,4,3,6,1,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,7,5,4,6] => [2,4,3,7,6,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,2,7,5,6,4] => [2,4,3,1,6,7,5] => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 1
[1,3,2,7,6,4,5] => [2,4,3,7,1,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,2,7,6,5,4] => [2,4,3,1,7,6,5] => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 2
[1,3,4,2,5,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,2,5,7,6] => [2,5,3,4,6,1,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[1,3,4,2,6,5,7] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[1,3,4,2,6,7,5] => [2,5,3,4,1,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2,3},{4,5,6},{7}} => 4
[1,3,4,2,7,5,6] => [2,5,3,4,7,1,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,2,7,6,5] => [2,5,3,4,1,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 2
[1,3,4,5,2,6,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[1,3,4,5,2,7,6] => [2,6,3,4,5,1,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3,4,5,6},{7}} => 4
[1,3,4,5,6,2,7] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => {{1},{2,3,4,5,6},{7}} => 4
[1,3,4,5,6,7,2] => [2,1,3,4,5,6,7] => {{1,2},{3},{4},{5},{6},{7}} => {{1,2,3,4,5,6},{7}} => 5
[1,3,4,5,7,2,6] => [2,7,3,4,5,1,6] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[1,3,4,5,7,6,2] => [2,1,3,4,5,7,6] => {{1,2},{3},{4},{5},{6,7}} => {{1,3,4,5,6},{2},{7}} => 3
[1,3,4,6,2,5,7] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,6,2,7,5] => [2,6,3,4,1,5,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[1,3,4,6,5,2,7] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 2
[1,3,4,6,5,7,2] => [2,1,3,4,6,5,7] => {{1,2},{3},{4},{5,6},{7}} => {{1,2,4,5,6},{3},{7}} => 3
[1,3,4,6,7,2,5] => [2,7,3,4,1,5,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,6,7,5,2] => [2,1,3,4,7,5,6] => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 2
[1,3,4,7,2,5,6] => [2,6,3,4,7,1,5] => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 2
[1,3,4,7,2,6,5] => [2,6,3,4,1,7,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,7,5,2,6] => [2,7,3,4,6,1,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[1,3,4,7,5,6,2] => [2,1,3,4,6,7,5] => {{1,2},{3},{4},{5,6,7}} => {{1,4,5,6},{2},{3},{7}} => 2
[1,3,4,7,6,2,5] => [2,7,3,4,1,6,5] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[1,3,4,7,6,5,2] => [2,1,3,4,7,6,5] => {{1,2},{3},{4},{5,7},{6}} => {{1,4,5,6},{2,3},{7}} => 3
[1,3,5,2,4,6,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,2,4,7,6] => [2,5,3,6,4,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,5,2,6,4,7] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,5,2,6,7,4] => [2,5,3,1,4,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[1,3,5,2,7,4,6] => [2,5,3,7,4,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,2,7,6,4] => [2,5,3,1,4,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[1,3,5,4,2,6,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[1,3,5,4,2,7,6] => [2,6,3,5,4,1,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 2
[1,3,5,4,6,2,7] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 2
[1,3,5,4,6,7,2] => [2,1,3,5,4,6,7] => {{1,2},{3},{4,5},{6},{7}} => {{1,2,3,5,6},{4},{7}} => 3
[1,3,5,4,7,2,6] => [2,7,3,5,4,1,6] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[1,3,5,4,7,6,2] => [2,1,3,5,4,7,6] => {{1,2},{3},{4,5},{6,7}} => {{1,3,5,6},{2},{4},{7}} => 1
[1,3,5,6,2,4,7] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,6,2,7,4] => [2,6,3,1,4,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,5,6,4,2,7] => [2,7,3,6,4,5,1] => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 1
[1,3,5,6,4,7,2] => [2,1,3,6,4,5,7] => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 2
[1,3,5,6,7,2,4] => [2,7,3,1,4,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,6,7,4,2] => [2,1,3,7,4,5,6] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,5,7,2,4,6] => [2,6,3,7,4,1,5] => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 1
[1,3,5,7,2,6,4] => [2,6,3,1,4,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,7,4,2,6] => [2,7,3,6,4,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,5,7,4,6,2] => [2,1,3,6,4,7,5] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,5,7,6,2,4] => [2,7,3,1,4,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,5,7,6,4,2] => [2,1,3,7,4,6,5] => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 2
[1,3,6,2,4,5,7] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[1,3,6,2,4,7,5] => [2,5,3,6,1,4,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,4},{3,5,6},{7}} => 2
[1,3,6,2,5,4,7] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,2,5,7,4] => [2,5,3,1,6,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,6,2,7,4,5] => [2,5,3,7,1,4,6] => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 1
[1,3,6,2,7,5,4] => [2,5,3,1,7,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,4,2,5,7] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,4,2,7,5] => [2,6,3,5,1,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[1,3,6,4,5,2,7] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 1
[1,3,6,4,5,7,2] => [2,1,3,5,6,4,7] => {{1,2},{3},{4,5,6},{7}} => {{1,2,5,6},{3},{4},{7}} => 2
[1,3,6,4,7,2,5] => [2,7,3,5,1,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,4,7,5,2] => [2,1,3,5,7,4,6] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,6,5,2,4,7] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,6,5,2,7,4] => [2,6,3,1,5,4,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[1,3,6,5,4,2,7] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 2
[1,3,6,5,4,7,2] => [2,1,3,6,5,4,7] => {{1,2},{3},{4,6},{5},{7}} => {{1,2,5,6},{3,4},{7}} => 3
[1,3,6,5,7,2,4] => [2,7,3,1,5,4,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,6,5,7,4,2] => [2,1,3,7,5,4,6] => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 2
[1,3,6,7,2,4,5] => [2,6,3,7,1,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,7,2,5,4] => [2,6,3,1,7,4,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[1,3,6,7,4,2,5] => [2,7,3,6,1,4,5] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[1,3,6,7,4,5,2] => [2,1,3,6,7,4,5] => {{1,2},{3},{4,6},{5,7}} => {{1,3,5,6},{2,4},{7}} => 1
[1,3,6,7,5,2,4] => [2,7,3,1,6,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,6,7,5,4,2] => [2,1,3,7,6,4,5] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,7,2,4,5,6] => [2,5,3,6,7,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,2,4,6,5] => [2,5,3,6,1,7,4] => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 1
[1,3,7,2,5,4,6] => [2,5,3,7,6,1,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[1,3,7,2,5,6,4] => [2,5,3,1,6,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,2,6,4,5] => [2,5,3,7,1,6,4] => {{1,2,5},{3},{4,7},{6}} => {{1,4},{2,3,5,6},{7}} => 2
[1,3,7,2,6,5,4] => [2,5,3,1,7,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,7,4,2,5,6] => [2,6,3,5,7,1,4] => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 1
[1,3,7,4,2,6,5] => [2,6,3,5,1,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,4,5,2,6] => [2,7,3,5,6,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,4,5,6,2] => [2,1,3,5,6,7,4] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,7,4,6,2,5] => [2,7,3,5,1,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[1,3,7,4,6,5,2] => [2,1,3,5,7,6,4] => {{1,2},{3},{4,5,7},{6}} => {{1,5,6},{2,3},{4},{7}} => 2
[1,3,7,5,2,4,6] => [2,6,3,7,5,1,4] => {{1,2,6},{3},{4,7},{5}} => {{1,3,4},{2,5,6},{7}} => 2
[1,3,7,5,2,6,4] => [2,6,3,1,5,7,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,7,5,4,2,6] => [2,7,3,6,5,1,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[1,3,7,5,4,6,2] => [2,1,3,6,5,7,4] => {{1,2},{3},{4,6,7},{5}} => {{1,5,6},{2},{3,4},{7}} => 2
[1,3,7,5,6,2,4] => [2,7,3,1,5,6,4] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[1,3,7,5,6,4,2] => [2,1,3,7,5,6,4] => {{1,2},{3},{4,7},{5},{6}} => {{1,5,6},{2,3,4},{7}} => 3
[1,3,7,6,2,4,5] => [2,6,3,7,1,5,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[1,3,7,6,2,5,4] => [2,6,3,1,7,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,6,4,2,5] => [2,7,3,6,1,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[1,3,7,6,4,5,2] => [2,1,3,6,7,5,4] => {{1,2},{3},{4,5,6,7}} => {{1,5,6},{2},{3},{4},{7}} => 1
[1,3,7,6,5,2,4] => [2,7,3,1,6,5,4] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[1,3,7,6,5,4,2] => [2,1,3,7,6,5,4] => {{1,2},{3},{4,7},{5,6}} => {{1,5,6},{2,4},{3},{7}} => 1
[1,4,2,3,5,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,3,5,7,6] => [2,4,5,3,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,2,3,6,5,7] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,2,3,6,7,5] => [2,4,5,3,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,4,2,3,7,5,6] => [2,4,5,3,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,3,7,6,5] => [2,4,5,3,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,4,2,5,3,6,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,2,5,3,7,6] => [2,4,6,3,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,4,2,5,6,3,7] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,4,2,5,6,7,3] => [2,4,1,3,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[1,4,2,5,7,3,6] => [2,4,7,3,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,2,5,7,6,3] => [2,4,1,3,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[1,4,2,6,3,5,7] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,6,3,7,5] => [2,4,6,3,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,2,6,5,3,7] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,4,2,6,5,7,3] => [2,4,1,3,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[1,4,2,6,7,3,5] => [2,4,7,3,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,6,7,5,3] => [2,4,1,3,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[1,4,2,7,3,5,6] => [2,4,6,3,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,4,2,7,3,6,5] => [2,4,6,3,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,7,5,3,6] => [2,4,7,3,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,2,7,5,6,3] => [2,4,1,3,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[1,4,2,7,6,3,5] => [2,4,7,3,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,2,7,6,5,3] => [2,4,1,3,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[1,4,3,2,5,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,2,5,7,6] => [2,5,4,3,6,1,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[1,4,3,2,6,5,7] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[1,4,3,2,6,7,5] => [2,5,4,3,1,6,7] => {{1,2,5},{3,4},{6},{7}} => {{1,2,3},{4,6},{5},{7}} => 2
[1,4,3,2,7,5,6] => [2,5,4,3,7,1,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,2,7,6,5] => [2,5,4,3,1,7,6] => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 0
[1,4,3,5,2,6,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[1,4,3,5,2,7,6] => [2,6,4,3,5,1,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 2
[1,4,3,5,6,2,7] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}} => 2
[1,4,3,5,6,7,2] => [2,1,4,3,5,6,7] => {{1,2},{3,4},{5},{6},{7}} => {{1,2,3,4,6},{5},{7}} => 3
[1,4,3,5,7,2,6] => [2,7,4,3,5,1,6] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[1,4,3,5,7,6,2] => [2,1,4,3,5,7,6] => {{1,2},{3,4},{5},{6,7}} => {{1,3,4,6},{2},{5},{7}} => 1
[1,4,3,6,2,5,7] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,6,2,7,5] => [2,6,4,3,1,5,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[1,4,3,6,5,2,7] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 0
[1,4,3,6,5,7,2] => [2,1,4,3,6,5,7] => {{1,2},{3,4},{5,6},{7}} => {{1,2,4,6},{3},{5},{7}} => 1
[1,4,3,6,7,2,5] => [2,7,4,3,1,5,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,6,7,5,2] => [2,1,4,3,7,5,6] => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 0
[1,4,3,7,2,5,6] => [2,6,4,3,7,1,5] => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 0
[1,4,3,7,2,6,5] => [2,6,4,3,1,7,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,7,5,2,6] => [2,7,4,3,6,1,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[1,4,3,7,5,6,2] => [2,1,4,3,6,7,5] => {{1,2},{3,4},{5,6,7}} => {{1,4,6},{2},{3},{5},{7}} => 0
[1,4,3,7,6,2,5] => [2,7,4,3,1,6,5] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[1,4,3,7,6,5,2] => [2,1,4,3,7,6,5] => {{1,2},{3,4},{5,7},{6}} => {{1,4,6},{2,3},{5},{7}} => 1
[1,4,5,2,3,6,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,2,3,7,6] => [2,5,6,3,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,5,2,6,3,7] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,5,2,6,7,3] => [2,5,1,3,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,4,5,2,7,3,6] => [2,5,7,3,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,2,7,6,3] => [2,5,1,3,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,4,5,3,2,6,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[1,4,5,3,2,7,6] => [2,6,5,3,4,1,7] => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 1
[1,4,5,3,6,2,7] => [2,7,5,3,4,6,1] => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 1
[1,4,5,3,6,7,2] => [2,1,5,3,4,6,7] => {{1,2},{3,4,5},{6},{7}} => {{1,2,3,6},{4},{5},{7}} => 2
[1,4,5,3,7,2,6] => [2,7,5,3,4,1,6] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[1,4,5,3,7,6,2] => [2,1,5,3,4,7,6] => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 0
[1,4,5,6,2,3,7] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,6,2,7,3] => [2,6,1,3,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,5,6,3,2,7] => [2,7,6,3,4,5,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,4,5,6,3,7,2] => [2,1,6,3,4,5,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,4,5,6,7,2,3] => [2,7,1,3,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,6,7,3,2] => [2,1,7,3,4,5,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,5,7,2,3,6] => [2,6,7,3,4,1,5] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,4,5,7,2,6,3] => [2,6,1,3,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,7,3,2,6] => [2,7,6,3,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,5,7,3,6,2] => [2,1,6,3,4,7,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,5,7,6,2,3] => [2,7,1,3,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,5,7,6,3,2] => [2,1,7,3,4,6,5] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,4,6,2,3,5,7] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[1,4,6,2,3,7,5] => [2,5,6,3,1,4,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 1
[1,4,6,2,5,3,7] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,2,5,7,3] => [2,5,1,3,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,6,2,7,3,5] => [2,5,7,3,1,4,6] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,4,6,2,7,5,3] => [2,5,1,3,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,3,2,5,7] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,3,2,7,5] => [2,6,5,3,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,4,6,3,5,2,7] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,4,6,3,5,7,2] => [2,1,5,3,6,4,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,4,6,3,7,2,5] => [2,7,5,3,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,3,7,5,2] => [2,1,5,3,7,4,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,6,5,2,3,7] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,6,5,2,7,3] => [2,6,1,3,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,4,6,5,3,2,7] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 1
[1,4,6,5,3,7,2] => [2,1,6,3,5,4,7] => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 2
[1,4,6,5,7,2,3] => [2,7,1,3,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,6,5,7,3,2] => [2,1,7,3,5,4,6] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,4,6,7,2,3,5] => [2,6,7,3,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,7,2,5,3] => [2,6,1,3,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,4,6,7,3,2,5] => [2,7,6,3,1,4,5] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[1,4,6,7,3,5,2] => [2,1,6,3,7,4,5] => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 0
[1,4,6,7,5,2,3] => [2,7,1,3,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,6,7,5,3,2] => [2,1,7,3,6,4,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,7,2,3,5,6] => [2,5,6,3,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,2,3,6,5] => [2,5,6,3,1,7,4] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,4,7,2,5,3,6] => [2,5,7,3,6,1,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[1,4,7,2,5,6,3] => [2,5,1,3,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,2,6,3,5] => [2,5,7,3,1,6,4] => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 1
[1,4,7,2,6,5,3] => [2,5,1,3,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,7,3,2,5,6] => [2,6,5,3,7,1,4] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,4,7,3,2,6,5] => [2,6,5,3,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,3,5,2,6] => [2,7,5,3,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,3,5,6,2] => [2,1,5,3,6,7,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,7,3,6,2,5] => [2,7,5,3,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,4,7,3,6,5,2] => [2,1,5,3,7,6,4] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,4,7,5,2,3,6] => [2,6,7,3,5,1,4] => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 1
[1,4,7,5,2,6,3] => [2,6,1,3,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,7,5,3,2,6] => [2,7,6,3,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,4,7,5,3,6,2] => [2,1,6,3,5,7,4] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,4,7,5,6,2,3] => [2,7,1,3,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,4,7,5,6,3,2] => [2,1,7,3,5,6,4] => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 2
[1,4,7,6,2,3,5] => [2,6,7,3,1,5,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[1,4,7,6,2,5,3] => [2,6,1,3,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,6,3,2,5] => [2,7,6,3,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,4,7,6,3,5,2] => [2,1,6,3,7,5,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,4,7,6,5,2,3] => [2,7,1,3,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,4,7,6,5,3,2] => [2,1,7,3,6,5,4] => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 0
[1,5,2,3,4,6,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,2,3,4,7,6] => [2,4,5,6,3,1,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[1,5,2,3,6,4,7] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[1,5,2,3,6,7,4] => [2,4,5,1,3,6,7] => {{1,2,4},{3,5},{6},{7}} => {{1,2,3,5},{4,6},{7}} => 2
[1,5,2,3,7,4,6] => [2,4,5,7,3,1,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,2,3,7,6,4] => [2,4,5,1,3,7,6] => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 0
[1,5,2,4,3,6,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,4,3,7,6] => [2,4,6,5,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,2,4,6,3,7] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,2,4,6,7,3] => [2,4,1,5,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,5,2,4,7,3,6] => [2,4,7,5,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,4,7,6,3] => [2,4,1,5,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,5,2,6,3,4,7] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[1,5,2,6,3,7,4] => [2,4,6,1,3,5,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 1
[1,5,2,6,4,3,7] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,6,4,7,3] => [2,4,1,6,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,2,6,7,3,4] => [2,4,7,1,3,5,6] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,5,2,6,7,4,3] => [2,4,1,7,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,7,3,4,6] => [2,4,6,7,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,7,3,6,4] => [2,4,6,1,3,7,5] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,5,2,7,4,3,6] => [2,4,7,6,3,1,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[1,5,2,7,4,6,3] => [2,4,1,6,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,2,7,6,3,4] => [2,4,7,1,3,6,5] => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 1
[1,5,2,7,6,4,3] => [2,4,1,7,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,3,2,4,6,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,2,4,7,6] => [2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,3,2,6,4,7] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,3,2,6,7,4] => [2,5,4,1,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[1,5,3,2,7,4,6] => [2,5,4,7,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,2,7,6,4] => [2,5,4,1,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[1,5,3,4,2,6,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[1,5,3,4,2,7,6] => [2,6,4,5,3,1,7] => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 1
[1,5,3,4,6,2,7] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 1
[1,5,3,4,6,7,2] => [2,1,4,5,3,6,7] => {{1,2},{3,4,5},{6},{7}} => {{1,2,3,6},{4},{5},{7}} => 2
[1,5,3,4,7,2,6] => [2,7,4,5,3,1,6] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[1,5,3,4,7,6,2] => [2,1,4,5,3,7,6] => {{1,2},{3,4,5},{6,7}} => {{1,3,6},{2},{4},{5},{7}} => 0
[1,5,3,6,2,4,7] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,6,2,7,4] => [2,6,4,1,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,3,6,4,2,7] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,5,3,6,4,7,2] => [2,1,4,6,3,5,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,5,3,6,7,2,4] => [2,7,4,1,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,6,7,4,2] => [2,1,4,7,3,5,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,5,3,7,2,4,6] => [2,6,4,7,3,1,5] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,5,3,7,2,6,4] => [2,6,4,1,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,7,4,2,6] => [2,7,4,6,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,3,7,4,6,2] => [2,1,4,6,3,7,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,5,3,7,6,2,4] => [2,7,4,1,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,3,7,6,4,2] => [2,1,4,7,3,6,5] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,5,4,2,3,6,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,2,3,7,6] => [2,5,6,4,3,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,5,4,2,6,3,7] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,5,4,2,6,7,3] => [2,5,1,4,3,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[1,5,4,2,7,3,6] => [2,5,7,4,3,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,2,7,6,3] => [2,5,1,4,3,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[1,5,4,3,2,6,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[1,5,4,3,2,7,6] => [2,6,5,4,3,1,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => 2
[1,5,4,3,6,2,7] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}} => 2
[1,5,4,3,6,7,2] => [2,1,5,4,3,6,7] => {{1,2},{3,5},{4},{6},{7}} => {{1,2,3,6},{4,5},{7}} => 3
[1,5,4,3,7,2,6] => [2,7,5,4,3,1,6] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[1,5,4,3,7,6,2] => [2,1,5,4,3,7,6] => {{1,2},{3,5},{4},{6,7}} => {{1,3,6},{2},{4,5},{7}} => 1
[1,5,4,6,2,3,7] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,6,2,7,3] => [2,6,1,4,3,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,5,4,6,3,2,7] => [2,7,6,4,3,5,1] => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 1
[1,5,4,6,3,7,2] => [2,1,6,4,3,5,7] => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 2
[1,5,4,6,7,2,3] => [2,7,1,4,3,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,6,7,3,2] => [2,1,7,4,3,5,6] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,5,4,7,2,3,6] => [2,6,7,4,3,1,5] => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 1
[1,5,4,7,2,6,3] => [2,6,1,4,3,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,7,3,2,6] => [2,7,6,4,3,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,5,4,7,3,6,2] => [2,1,6,4,3,7,5] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,5,4,7,6,2,3] => [2,7,1,4,3,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,5,4,7,6,3,2] => [2,1,7,4,3,6,5] => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 2
[1,5,6,2,3,4,7] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,2,3,7,4] => [2,5,6,1,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,6,2,4,3,7] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,5,6,2,4,7,3] => [2,5,1,6,3,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[1,5,6,2,7,3,4] => [2,5,7,1,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,2,7,4,3] => [2,5,1,7,3,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[1,5,6,3,2,4,7] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,6,3,2,7,4] => [2,6,5,1,3,4,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[1,5,6,3,4,2,7] => [2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}} => 0
[1,5,6,3,4,7,2] => [2,1,5,6,3,4,7] => {{1,2},{3,5},{4,6},{7}} => {{1,2,4,6},{3,5},{7}} => 1
[1,5,6,3,7,2,4] => [2,7,5,1,3,4,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,6,3,7,4,2] => [2,1,5,7,3,4,6] => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 0
[1,5,6,4,2,3,7] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,4,2,7,3] => [2,6,1,5,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,5,6,4,3,2,7] => [2,7,6,5,3,4,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,5,6,4,3,7,2] => [2,1,6,5,3,4,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,5,6,4,7,2,3] => [2,7,1,5,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,4,7,3,2] => [2,1,7,5,3,4,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,5,6,7,2,3,4] => [2,6,7,1,3,4,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[1,5,6,7,2,4,3] => [2,6,1,7,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,7,3,2,4] => [2,7,6,1,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,6,7,3,4,2] => [2,1,6,7,3,4,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,5,6,7,4,2,3] => [2,7,1,6,3,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,5,6,7,4,3,2] => [2,1,7,6,3,4,5] => {{1,2},{3,5,7},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 0
[1,5,7,2,3,4,6] => [2,5,6,7,3,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,5,7,2,3,6,4] => [2,5,6,1,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,2,4,3,6] => [2,5,7,6,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,2,4,6,3] => [2,5,1,6,3,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[1,5,7,2,6,3,4] => [2,5,7,1,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,7,2,6,4,3] => [2,5,1,7,3,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[1,5,7,3,2,4,6] => [2,6,5,7,3,1,4] => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 0
[1,5,7,3,2,6,4] => [2,6,5,1,3,7,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,7,3,4,2,6] => [2,7,5,6,3,1,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[1,5,7,3,4,6,2] => [2,1,5,6,3,7,4] => {{1,2},{3,5},{4,6,7}} => {{1,4,6},{2},{3,5},{7}} => 0
[1,5,7,3,6,2,4] => [2,7,5,1,3,6,4] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[1,5,7,3,6,4,2] => [2,1,5,7,3,6,4] => {{1,2},{3,5},{4,7},{6}} => {{1,4,6},{2,3,5},{7}} => 1
[1,5,7,4,2,3,6] => [2,6,7,5,3,1,4] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,5,7,4,2,6,3] => [2,6,1,5,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,4,3,2,6] => [2,7,6,5,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,4,3,6,2] => [2,1,6,5,3,7,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,5,7,4,6,2,3] => [2,7,1,5,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,5,7,4,6,3,2] => [2,1,7,5,3,6,4] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,5,7,6,2,3,4] => [2,6,7,1,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,6,2,4,3] => [2,6,1,7,3,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,5,7,6,3,2,4] => [2,7,6,1,3,5,4] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[1,5,7,6,3,4,2] => [2,1,6,7,3,5,4] => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 0
[1,5,7,6,4,2,3] => [2,7,1,6,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,5,7,6,4,3,2] => [2,1,7,6,3,5,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,2,3,4,5,7] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,2,3,4,7,5] => [2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,2,3,5,4,7] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[1,6,2,3,5,7,4] => [2,4,5,1,6,3,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 1
[1,6,2,3,7,4,5] => [2,4,5,7,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,2,3,7,5,4] => [2,4,5,1,7,3,6] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,6,2,4,3,5,7] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,2,4,3,7,5] => [2,4,6,5,1,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[1,6,2,4,5,3,7] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,2,4,5,7,3] => [2,4,1,5,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,2,4,7,3,5] => [2,4,7,5,1,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[1,6,2,4,7,5,3] => [2,4,1,5,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,2,5,3,4,7] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[1,6,2,5,3,7,4] => [2,4,6,1,5,3,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2,5},{3,4,6},{7}} => 2
[1,6,2,5,4,3,7] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,2,5,4,7,3] => [2,4,1,6,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,6,2,5,7,3,4] => [2,4,7,1,5,3,6] => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 1
[1,6,2,5,7,4,3] => [2,4,1,7,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,2,7,3,4,5] => [2,4,6,7,1,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,2,7,3,5,4] => [2,4,6,1,7,3,5] => {{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 0
[1,6,2,7,4,3,5] => [2,4,7,6,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,2,7,4,5,3] => [2,4,1,6,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,6,2,7,5,3,4] => [2,4,7,1,6,3,5] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,6,2,7,5,4,3] => [2,4,1,7,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,2,4,5,7] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[1,6,3,2,4,7,5] => [2,5,4,6,1,3,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 1
[1,6,3,2,5,4,7] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,2,5,7,4] => [2,5,4,1,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,3,2,7,4,5] => [2,5,4,7,1,3,6] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,6,3,2,7,5,4] => [2,5,4,1,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,4,2,5,7] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,4,2,7,5] => [2,6,4,5,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,3,4,5,2,7] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,6,3,4,5,7,2] => [2,1,4,5,6,3,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,6,3,4,7,2,5] => [2,7,4,5,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,4,7,5,2] => [2,1,4,5,7,3,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,3,5,2,4,7] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,3,5,2,7,4] => [2,6,4,1,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[1,6,3,5,4,2,7] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 1
[1,6,3,5,4,7,2] => [2,1,4,6,5,3,7] => {{1,2},{3,4,6},{5},{7}} => {{1,2,6},{3,4},{5},{7}} => 2
[1,6,3,5,7,2,4] => [2,7,4,1,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,3,5,7,4,2] => [2,1,4,7,5,3,6] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,6,3,7,2,4,5] => [2,6,4,7,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,7,2,5,4] => [2,6,4,1,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[1,6,3,7,4,2,5] => [2,7,4,6,1,3,5] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[1,6,3,7,4,5,2] => [2,1,4,6,7,3,5] => {{1,2},{3,4,6},{5,7}} => {{1,3,6},{2,4},{5},{7}} => 0
[1,6,3,7,5,2,4] => [2,7,4,1,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,3,7,5,4,2] => [2,1,4,7,6,3,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,4,2,3,5,7] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[1,6,4,2,3,7,5] => [2,5,6,4,1,3,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2,4,5},{3,6},{7}} => 2
[1,6,4,2,5,3,7] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,2,5,7,3] => [2,5,1,4,6,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,6,4,2,7,3,5] => [2,5,7,4,1,3,6] => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 1
[1,6,4,2,7,5,3] => [2,5,1,4,7,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,3,2,5,7] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,3,2,7,5] => [2,6,5,4,1,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[1,6,4,3,5,2,7] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 1
[1,6,4,3,5,7,2] => [2,1,5,4,6,3,7] => {{1,2},{3,5,6},{4},{7}} => {{1,2,6},{3},{4,5},{7}} => 2
[1,6,4,3,7,2,5] => [2,7,5,4,1,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,3,7,5,2] => [2,1,5,4,7,3,6] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,6,4,5,2,3,7] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,6,4,5,2,7,3] => [2,6,1,4,5,3,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[1,6,4,5,3,2,7] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => {{1},{2,6},{3,4,5},{7}} => 2
[1,6,4,5,3,7,2] => [2,1,6,4,5,3,7] => {{1,2},{3,6},{4},{5},{7}} => {{1,2,6},{3,4,5},{7}} => 3
[1,6,4,5,7,2,3] => [2,7,1,4,5,3,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,6,4,5,7,3,2] => [2,1,7,4,5,3,6] => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 2
[1,6,4,7,2,3,5] => [2,6,7,4,1,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,7,2,5,3] => [2,6,1,4,7,3,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[1,6,4,7,3,2,5] => [2,7,6,4,1,3,5] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[1,6,4,7,3,5,2] => [2,1,6,4,7,3,5] => {{1,2},{3,6},{4},{5,7}} => {{1,3,6},{2,4,5},{7}} => 1
[1,6,4,7,5,2,3] => [2,7,1,4,6,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,6,4,7,5,3,2] => [2,1,7,4,6,3,5] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,6,5,2,3,4,7] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,5,2,3,7,4] => [2,5,6,1,4,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[1,6,5,2,4,3,7] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,2,4,7,3] => [2,5,1,6,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,5,2,7,3,4] => [2,5,7,1,4,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[1,6,5,2,7,4,3] => [2,5,1,7,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,3,2,4,7] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,3,2,7,4] => [2,6,5,1,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[1,6,5,3,4,2,7] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[1,6,5,3,4,7,2] => [2,1,5,6,4,3,7] => {{1,2},{3,4,5,6},{7}} => {{1,2,6},{3},{4},{5},{7}} => 1
[1,6,5,3,7,2,4] => [2,7,5,1,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,3,7,4,2] => [2,1,5,7,4,3,6] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,5,4,2,3,7] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,6,5,4,2,7,3] => [2,6,1,5,4,3,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[1,6,5,4,3,2,7] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 0
[1,6,5,4,3,7,2] => [2,1,6,5,4,3,7] => {{1,2},{3,6},{4,5},{7}} => {{1,2,6},{3,5},{4},{7}} => 1
[1,6,5,4,7,2,3] => [2,7,1,5,4,3,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,6,5,4,7,3,2] => [2,1,7,5,4,3,6] => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 0
[1,6,5,7,2,3,4] => [2,6,7,1,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,7,2,4,3] => [2,6,1,7,4,3,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[1,6,5,7,3,2,4] => [2,7,6,1,4,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,5,7,3,4,2] => [2,1,6,7,4,3,5] => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 0
[1,6,5,7,4,2,3] => [2,7,1,6,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,5,7,4,3,2] => [2,1,7,6,4,3,5] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,7,2,3,4,5] => [2,5,6,7,1,3,4] => {{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => 0
[1,6,7,2,3,5,4] => [2,5,6,1,7,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,7,2,4,3,5] => [2,5,7,6,1,3,4] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,6,7,2,4,5,3] => [2,5,1,6,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,2,5,3,4] => [2,5,7,1,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,2,5,4,3] => [2,5,1,7,6,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,6,7,3,2,4,5] => [2,6,5,7,1,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[1,6,7,3,2,5,4] => [2,6,5,1,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,3,4,2,5] => [2,7,5,6,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,3,4,5,2] => [2,1,5,6,7,3,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,7,3,5,2,4] => [2,7,5,1,6,3,4] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[1,6,7,3,5,4,2] => [2,1,5,7,6,3,4] => {{1,2},{3,5,6},{4,7}} => {{1,4,6},{2,5},{3},{7}} => 0
[1,6,7,4,2,3,5] => [2,6,7,5,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,4,2,5,3] => [2,6,1,5,7,3,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[1,6,7,4,3,2,5] => [2,7,6,5,1,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[1,6,7,4,3,5,2] => [2,1,6,5,7,3,4] => {{1,2},{3,6},{4,5,7}} => {{1,3,6},{2,5},{4},{7}} => 0
[1,6,7,4,5,2,3] => [2,7,1,5,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,6,7,4,5,3,2] => [2,1,7,5,6,3,4] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,6,7,5,2,3,4] => [2,6,7,1,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,7,5,2,4,3] => [2,6,1,7,5,3,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[1,6,7,5,3,2,4] => [2,7,6,1,5,3,4] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[1,6,7,5,3,4,2] => [2,1,6,7,5,3,4] => {{1,2},{3,6},{4,7},{5}} => {{1,3,4,6},{2,5},{7}} => 1
[1,6,7,5,4,2,3] => [2,7,1,6,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,6,7,5,4,3,2] => [2,1,7,6,5,3,4] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,7,2,3,4,5,6] => [2,4,5,6,7,1,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[1,7,2,3,4,6,5] => [2,4,5,6,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,3,5,4,6] => [2,4,5,7,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,3,5,6,4] => [2,4,5,1,6,7,3] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,7,2,3,6,4,5] => [2,4,5,7,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,2,3,6,5,4] => [2,4,5,1,7,6,3] => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 1
[1,7,2,4,3,5,6] => [2,4,6,5,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,4,3,6,5] => [2,4,6,5,1,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[1,7,2,4,5,3,6] => [2,4,7,5,6,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,2,4,5,6,3] => [2,4,1,5,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,4,6,3,5] => [2,4,7,5,1,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[1,7,2,4,6,5,3] => [2,4,1,5,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,2,5,3,4,6] => [2,4,6,7,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,2,5,3,6,4] => [2,4,6,1,5,7,3] => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 1
[1,7,2,5,4,3,6] => [2,4,7,6,5,1,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[1,7,2,5,4,6,3] => [2,4,1,6,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,2,5,6,3,4] => [2,4,7,1,5,6,3] => {{1,2,4},{3,7},{5},{6}} => {{1,5},{2,3,4,6},{7}} => 2
[1,7,2,5,6,4,3] => [2,4,1,7,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,7,2,6,3,4,5] => [2,4,6,7,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,6,3,5,4] => [2,4,6,1,7,5,3] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[1,7,2,6,4,3,5] => [2,4,7,6,1,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,2,6,4,5,3] => [2,4,1,6,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,2,6,5,3,4] => [2,4,7,1,6,5,3] => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 0
[1,7,2,6,5,4,3] => [2,4,1,7,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,7,3,2,4,5,6] => [2,5,4,6,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,2,4,6,5] => [2,5,4,6,1,7,3] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,7,3,2,5,4,6] => [2,5,4,7,6,1,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[1,7,3,2,5,6,4] => [2,5,4,1,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,2,6,4,5] => [2,5,4,7,1,6,3] => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 1
[1,7,3,2,6,5,4] => [2,5,4,1,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,3,4,2,5,6] => [2,6,4,5,7,1,3] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,7,3,4,2,6,5] => [2,6,4,5,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,4,5,2,6] => [2,7,4,5,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,4,5,6,2] => [2,1,4,5,6,7,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,3,4,6,2,5] => [2,7,4,5,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,3,4,6,5,2] => [2,1,4,5,7,6,3] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,7,3,5,2,4,6] => [2,6,4,7,5,1,3] => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 1
[1,7,3,5,2,6,4] => [2,6,4,1,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,3,5,4,2,6] => [2,7,4,6,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,3,5,4,6,2] => [2,1,4,6,5,7,3] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,7,3,5,6,2,4] => [2,7,4,1,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[1,7,3,5,6,4,2] => [2,1,4,7,5,6,3] => {{1,2},{3,4,7},{5},{6}} => {{1,6},{2,3,4},{5},{7}} => 2
[1,7,3,6,2,4,5] => [2,6,4,7,1,5,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[1,7,3,6,2,5,4] => [2,6,4,1,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,6,4,2,5] => [2,7,4,6,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,3,6,4,5,2] => [2,1,4,6,7,5,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,3,6,5,2,4] => [2,7,4,1,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[1,7,3,6,5,4,2] => [2,1,4,7,6,5,3] => {{1,2},{3,4,7},{5,6}} => {{1,6},{2,4},{3},{5},{7}} => 0
[1,7,4,2,3,5,6] => [2,5,6,4,7,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,2,3,6,5] => [2,5,6,4,1,7,3] => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 1
[1,7,4,2,5,3,6] => [2,5,7,4,6,1,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[1,7,4,2,5,6,3] => [2,5,1,4,6,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,2,6,3,5] => [2,5,7,4,1,6,3] => {{1,2,5},{3,7},{4},{6}} => {{1,4,5},{2,3,6},{7}} => 2
[1,7,4,2,6,5,3] => [2,5,1,4,7,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,7,4,3,2,5,6] => [2,6,5,4,7,1,3] => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 1
[1,7,4,3,2,6,5] => [2,6,5,4,1,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,3,5,2,6] => [2,7,5,4,6,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,3,5,6,2] => [2,1,5,4,6,7,3] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,7,4,3,6,2,5] => [2,7,5,4,1,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[1,7,4,3,6,5,2] => [2,1,5,4,7,6,3] => {{1,2},{3,5,7},{4},{6}} => {{1,6},{2,3},{4,5},{7}} => 2
[1,7,4,5,2,3,6] => [2,6,7,4,5,1,3] => {{1,2,6},{3,7},{4},{5}} => {{1,3,4,5},{2,6},{7}} => 2
[1,7,4,5,2,6,3] => [2,6,1,4,5,7,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,7,4,5,3,2,6] => [2,7,6,4,5,1,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[1,7,4,5,3,6,2] => [2,1,6,4,5,7,3] => {{1,2},{3,6,7},{4},{5}} => {{1,6},{2},{3,4,5},{7}} => 2
[1,7,4,5,6,2,3] => [2,7,1,4,5,6,3] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[1,7,4,5,6,3,2] => [2,1,7,4,5,6,3] => {{1,2},{3,7},{4},{5},{6}} => {{1,6},{2,3,4,5},{7}} => 3
[1,7,4,6,2,3,5] => [2,6,7,4,1,5,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[1,7,4,6,2,5,3] => [2,6,1,4,7,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,6,3,2,5] => [2,7,6,4,1,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[1,7,4,6,3,5,2] => [2,1,6,4,7,5,3] => {{1,2},{3,5,6,7},{4}} => {{1,6},{2},{3},{4,5},{7}} => 1
[1,7,4,6,5,2,3] => [2,7,1,4,6,5,3] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[1,7,4,6,5,3,2] => [2,1,7,4,6,5,3] => {{1,2},{3,7},{4},{5,6}} => {{1,6},{2,4,5},{3},{7}} => 1
[1,7,5,2,3,4,6] => [2,5,6,7,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,2,3,6,4] => [2,5,6,1,4,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[1,7,5,2,4,3,6] => [2,5,7,6,4,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,5,2,4,6,3] => [2,5,1,6,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,2,6,3,4] => [2,5,7,1,4,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[1,7,5,2,6,4,3] => [2,5,1,7,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,5,3,2,4,6] => [2,6,5,7,4,1,3] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[1,7,5,3,2,6,4] => [2,6,5,1,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,3,4,2,6] => [2,7,5,6,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,3,4,6,2] => [2,1,5,6,4,7,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,5,3,6,2,4] => [2,7,5,1,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[1,7,5,3,6,4,2] => [2,1,5,7,4,6,3] => {{1,2},{3,4,5,7},{6}} => {{1,6},{2,3},{4},{5},{7}} => 1
[1,7,5,4,2,3,6] => [2,6,7,5,4,1,3] => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 0
[1,7,5,4,2,6,3] => [2,6,1,5,4,7,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,7,5,4,3,2,6] => [2,7,6,5,4,1,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[1,7,5,4,3,6,2] => [2,1,6,5,4,7,3] => {{1,2},{3,6,7},{4,5}} => {{1,6},{2},{3,5},{4},{7}} => 0
[1,7,5,4,6,2,3] => [2,7,1,5,4,6,3] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[1,7,5,4,6,3,2] => [2,1,7,5,4,6,3] => {{1,2},{3,7},{4,5},{6}} => {{1,6},{2,3,5},{4},{7}} => 1
[1,7,5,6,2,3,4] => [2,6,7,1,4,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,5,6,2,4,3] => [2,6,1,7,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,6,3,2,4] => [2,7,6,1,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,5,6,3,4,2] => [2,1,6,7,4,5,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,5,6,4,2,3] => [2,7,1,6,4,5,3] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[1,7,5,6,4,3,2] => [2,1,7,6,4,5,3] => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 0
[1,7,6,2,3,4,5] => [2,5,6,7,1,4,3] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[1,7,6,2,3,5,4] => [2,5,6,1,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,2,4,3,5] => [2,5,7,6,1,4,3] => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 0
[1,7,6,2,4,5,3] => [2,5,1,6,7,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,7,6,2,5,3,4] => [2,5,7,1,6,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,6,2,5,4,3] => [2,5,1,7,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,3,2,4,5] => [2,6,5,7,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,3,2,5,4] => [2,6,5,1,7,4,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[1,7,6,3,4,2,5] => [2,7,5,6,1,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[1,7,6,3,4,5,2] => [2,1,5,6,7,4,3] => {{1,2},{3,5,7},{4,6}} => {{1,6},{2,4},{3,5},{7}} => 0
[1,7,6,3,5,2,4] => [2,7,5,1,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,3,5,4,2] => [2,1,5,7,6,4,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,6,4,2,3,5] => [2,6,7,5,1,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[1,7,6,4,2,5,3] => [2,6,1,5,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,4,3,2,5] => [2,7,6,5,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[1,7,6,4,3,5,2] => [2,1,6,5,7,4,3] => {{1,2},{3,4,5,6,7}} => {{1,6},{2},{3},{4},{5},{7}} => 0
[1,7,6,4,5,2,3] => [2,7,1,5,6,4,3] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[1,7,6,4,5,3,2] => [2,1,7,5,6,4,3] => {{1,2},{3,7},{4,5,6}} => {{1,6},{2,5},{3},{4},{7}} => 0
[1,7,6,5,2,3,4] => [2,6,7,1,5,4,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[1,7,6,5,2,4,3] => [2,6,1,7,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,6,5,3,2,4] => [2,7,6,1,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[1,7,6,5,3,4,2] => [2,1,6,7,5,4,3] => {{1,2},{3,4,6,7},{5}} => {{1,6},{2},{3,4},{5},{7}} => 1
[1,7,6,5,4,2,3] => [2,7,1,6,5,4,3] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[1,7,6,5,4,3,2] => [2,1,7,6,5,4,3] => {{1,2},{3,7},{4,6},{5}} => {{1,6},{2,5},{3,4},{7}} => 1
[2,1,3,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,4,5,7,6] => [3,2,4,5,6,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,3,4,6,5,7] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,3,4,6,7,5] => [3,2,4,5,1,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,1,3,4,7,5,6] => [3,2,4,5,7,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,4,7,6,5] => [3,2,4,5,1,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,1,3,5,4,6,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,3,5,4,7,6] => [3,2,4,6,5,1,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,1,3,5,6,4,7] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,1,3,5,6,7,4] => [3,2,4,1,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => {{1,2,3,4},{5},{6,7}} => 4
[2,1,3,5,7,4,6] => [3,2,4,7,5,1,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,3,5,7,6,4] => [3,2,4,1,5,7,6] => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 2
[2,1,3,6,4,5,7] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,6,4,7,5] => [3,2,4,6,1,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,3,6,5,4,7] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,1,3,6,5,7,4] => [3,2,4,1,6,5,7] => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 2
[2,1,3,6,7,4,5] => [3,2,4,7,1,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,6,7,5,4] => [3,2,4,1,7,5,6] => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 1
[2,1,3,7,4,5,6] => [3,2,4,6,7,1,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,1,3,7,4,6,5] => [3,2,4,6,1,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,7,5,4,6] => [3,2,4,7,6,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,3,7,5,6,4] => [3,2,4,1,6,7,5] => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 1
[2,1,3,7,6,4,5] => [3,2,4,7,1,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,3,7,6,5,4] => [3,2,4,1,7,6,5] => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 2
[2,1,4,3,5,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,3,5,7,6] => [3,2,5,4,6,1,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,1,4,3,6,5,7] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,1,4,3,6,7,5] => [3,2,5,4,1,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1,2,3},{4,5},{6,7}} => 4
[2,1,4,3,7,5,6] => [3,2,5,4,7,1,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,3,7,6,5] => [3,2,5,4,1,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 2
[2,1,4,5,3,6,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,1,4,5,3,7,6] => [3,2,6,4,5,1,7] => {{1,3,6},{2},{4},{5},{7}} => {{1,2},{3,4,5},{6,7}} => 4
[2,1,4,5,6,3,7] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}} => 4
[2,1,4,5,6,7,3] => [3,2,1,4,5,6,7] => {{1,3},{2},{4},{5},{6},{7}} => {{1,2,3,4,5},{6,7}} => 5
[2,1,4,5,7,3,6] => [3,2,7,4,5,1,6] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,1,4,5,7,6,3] => [3,2,1,4,5,7,6] => {{1,3},{2},{4},{5},{6,7}} => {{1,3,4,5},{2},{6,7}} => 3
[2,1,4,6,3,5,7] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,6,3,7,5] => [3,2,6,4,1,5,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,1,4,6,5,3,7] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 2
[2,1,4,6,5,7,3] => [3,2,1,4,6,5,7] => {{1,3},{2},{4},{5,6},{7}} => {{1,2,4,5},{3},{6,7}} => 3
[2,1,4,6,7,3,5] => [3,2,7,4,1,5,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,6,7,5,3] => [3,2,1,4,7,5,6] => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 2
[2,1,4,7,3,5,6] => [3,2,6,4,7,1,5] => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 2
[2,1,4,7,3,6,5] => [3,2,6,4,1,7,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,7,5,3,6] => [3,2,7,4,6,1,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,1,4,7,5,6,3] => [3,2,1,4,6,7,5] => {{1,3},{2},{4},{5,6,7}} => {{1,4,5},{2},{3},{6,7}} => 2
[2,1,4,7,6,3,5] => [3,2,7,4,1,6,5] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,1,4,7,6,5,3] => [3,2,1,4,7,6,5] => {{1,3},{2},{4},{5,7},{6}} => {{1,4,5},{2,3},{6,7}} => 3
[2,1,5,3,4,6,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,3,4,7,6] => [3,2,5,6,4,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,5,3,6,4,7] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,5,3,6,7,4] => [3,2,5,1,4,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,1,5,3,7,4,6] => [3,2,5,7,4,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,3,7,6,4] => [3,2,5,1,4,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,1,5,4,3,6,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,1,5,4,3,7,6] => [3,2,6,5,4,1,7] => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 2
[2,1,5,4,6,3,7] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 2
[2,1,5,4,6,7,3] => [3,2,1,5,4,6,7] => {{1,3},{2},{4,5},{6},{7}} => {{1,2,3,5},{4},{6,7}} => 3
[2,1,5,4,7,3,6] => [3,2,7,5,4,1,6] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,1,5,4,7,6,3] => [3,2,1,5,4,7,6] => {{1,3},{2},{4,5},{6,7}} => {{1,3,5},{2},{4},{6,7}} => 1
[2,1,5,6,3,4,7] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,6,3,7,4] => [3,2,6,1,4,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,5,6,4,3,7] => [3,2,7,6,4,5,1] => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 1
[2,1,5,6,4,7,3] => [3,2,1,6,4,5,7] => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 2
[2,1,5,6,7,3,4] => [3,2,7,1,4,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,6,7,4,3] => [3,2,1,7,4,5,6] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,5,7,3,4,6] => [3,2,6,7,4,1,5] => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 1
[2,1,5,7,3,6,4] => [3,2,6,1,4,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,7,4,3,6] => [3,2,7,6,4,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,5,7,4,6,3] => [3,2,1,6,4,7,5] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,5,7,6,3,4] => [3,2,7,1,4,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,5,7,6,4,3] => [3,2,1,7,4,6,5] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 2
[2,1,6,3,4,5,7] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,1,6,3,4,7,5] => [3,2,5,6,1,4,7] => {{1,3,5},{2},{4,6},{7}} => {{1,2,4},{3,5},{6,7}} => 2
[2,1,6,3,5,4,7] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,3,5,7,4] => [3,2,5,1,6,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,6,3,7,4,5] => [3,2,5,7,1,4,6] => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 1
[2,1,6,3,7,5,4] => [3,2,5,1,7,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,4,3,5,7] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,4,3,7,5] => [3,2,6,5,1,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,1,6,4,5,3,7] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 1
[2,1,6,4,5,7,3] => [3,2,1,5,6,4,7] => {{1,3},{2},{4,5,6},{7}} => {{1,2,5},{3},{4},{6,7}} => 2
[2,1,6,4,7,3,5] => [3,2,7,5,1,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,4,7,5,3] => [3,2,1,5,7,4,6] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,6,5,3,4,7] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,6,5,3,7,4] => [3,2,6,1,5,4,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,1,6,5,4,3,7] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 2
[2,1,6,5,4,7,3] => [3,2,1,6,5,4,7] => {{1,3},{2},{4,6},{5},{7}} => {{1,2,5},{3,4},{6,7}} => 3
[2,1,6,5,7,3,4] => [3,2,7,1,5,4,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,6,5,7,4,3] => [3,2,1,7,5,4,6] => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 2
[2,1,6,7,3,4,5] => [3,2,6,7,1,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,7,3,5,4] => [3,2,6,1,7,4,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,1,6,7,4,3,5] => [3,2,7,6,1,4,5] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,1,6,7,4,5,3] => [3,2,1,6,7,4,5] => {{1,3},{2},{4,6},{5,7}} => {{1,3,5},{2,4},{6,7}} => 1
[2,1,6,7,5,3,4] => [3,2,7,1,6,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,6,7,5,4,3] => [3,2,1,7,6,4,5] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,7,3,4,5,6] => [3,2,5,6,7,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,3,4,6,5] => [3,2,5,6,1,7,4] => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 1
[2,1,7,3,5,4,6] => [3,2,5,7,6,1,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,1,7,3,5,6,4] => [3,2,5,1,6,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,3,6,4,5] => [3,2,5,7,1,6,4] => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 2
[2,1,7,3,6,5,4] => [3,2,5,1,7,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,7,4,3,5,6] => [3,2,6,5,7,1,4] => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 1
[2,1,7,4,3,6,5] => [3,2,6,5,1,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,4,5,3,6] => [3,2,7,5,6,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,4,5,6,3] => [3,2,1,5,6,7,4] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,7,4,6,3,5] => [3,2,7,5,1,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,1,7,4,6,5,3] => [3,2,1,5,7,6,4] => {{1,3},{2},{4,5,7},{6}} => {{1,5},{2,3},{4},{6,7}} => 2
[2,1,7,5,3,4,6] => [3,2,6,7,5,1,4] => {{1,3,6},{2},{4,7},{5}} => {{1,3,4},{2,5},{6,7}} => 2
[2,1,7,5,3,6,4] => [3,2,6,1,5,7,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,7,5,4,3,6] => [3,2,7,6,5,1,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,1,7,5,4,6,3] => [3,2,1,6,5,7,4] => {{1,3},{2},{4,6,7},{5}} => {{1,5},{2},{3,4},{6,7}} => 2
[2,1,7,5,6,3,4] => [3,2,7,1,5,6,4] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,1,7,5,6,4,3] => [3,2,1,7,5,6,4] => {{1,3},{2},{4,7},{5},{6}} => {{1,5},{2,3,4},{6,7}} => 3
[2,1,7,6,3,4,5] => [3,2,6,7,1,5,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,1,7,6,3,5,4] => [3,2,6,1,7,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,6,4,3,5] => [3,2,7,6,1,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,1,7,6,4,5,3] => [3,2,1,6,7,5,4] => {{1,3},{2},{4,5,6,7}} => {{1,5},{2},{3},{4},{6,7}} => 1
[2,1,7,6,5,3,4] => [3,2,7,1,6,5,4] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,1,7,6,5,4,3] => [3,2,1,7,6,5,4] => {{1,3},{2},{4,7},{5,6}} => {{1,5},{2,4},{3},{6,7}} => 1
[2,3,1,4,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,4,5,7,6] => [4,2,3,5,6,1,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,1,4,6,5,7] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,1,4,6,7,5] => [4,2,3,5,1,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 4
[2,3,1,4,7,5,6] => [4,2,3,5,7,1,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,4,7,6,5] => [4,2,3,5,1,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 2
[2,3,1,5,4,6,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,1,5,4,7,6] => [4,2,3,6,5,1,7] => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 4
[2,3,1,5,6,4,7] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 4
[2,3,1,5,6,7,4] => [4,2,3,1,5,6,7] => {{1,4},{2},{3},{5},{6},{7}} => {{1,2,3,4},{5,6,7}} => 5
[2,3,1,5,7,4,6] => [4,2,3,7,5,1,6] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,1,5,7,6,4] => [4,2,3,1,5,7,6] => {{1,4},{2},{3},{5},{6,7}} => {{1,3,4},{2},{5,6,7}} => 3
[2,3,1,6,4,5,7] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,6,4,7,5] => [4,2,3,6,1,5,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,1,6,5,4,7] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 2
[2,3,1,6,5,7,4] => [4,2,3,1,6,5,7] => {{1,4},{2},{3},{5,6},{7}} => {{1,2,4},{3},{5,6,7}} => 3
[2,3,1,6,7,4,5] => [4,2,3,7,1,5,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,6,7,5,4] => [4,2,3,1,7,5,6] => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 2
[2,3,1,7,4,5,6] => [4,2,3,6,7,1,5] => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 2
[2,3,1,7,4,6,5] => [4,2,3,6,1,7,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,7,5,4,6] => [4,2,3,7,6,1,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,1,7,5,6,4] => [4,2,3,1,6,7,5] => {{1,4},{2},{3},{5,6,7}} => {{1,4},{2},{3},{5,6,7}} => 2
[2,3,1,7,6,4,5] => [4,2,3,7,1,6,5] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,1,7,6,5,4] => [4,2,3,1,7,6,5] => {{1,4},{2},{3},{5,7},{6}} => {{1,4},{2,3},{5,6,7}} => 3
[2,3,4,1,5,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,1,5,7,6] => [5,2,3,4,6,1,7] => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 4
[2,3,4,1,6,5,7] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 4
[2,3,4,1,6,7,5] => [5,2,3,4,1,6,7] => {{1,5},{2},{3},{4},{6},{7}} => {{1,2,3},{4,5,6,7}} => 5
[2,3,4,1,7,5,6] => [5,2,3,4,7,1,6] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,1,7,6,5] => [5,2,3,4,1,7,6] => {{1,5},{2},{3},{4},{6,7}} => {{1,3},{2},{4,5,6,7}} => 3
[2,3,4,5,1,6,7] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 4
[2,3,4,5,1,7,6] => [6,2,3,4,5,1,7] => {{1,6},{2},{3},{4},{5},{7}} => {{1,2},{3,4,5,6,7}} => 5
[2,3,4,5,6,1,7] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => {{1},{2,3,4,5,6,7}} => 5
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1,2,3,4,5,6,7}} => 7
[2,3,4,5,7,1,6] => [7,2,3,4,5,1,6] => {{1,6,7},{2},{3},{4},{5}} => {{1},{2},{3,4,5,6,7}} => 4
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1,3,4,5,6,7},{2}} => 5
[2,3,4,6,1,5,7] => [6,2,3,4,7,5,1] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,6,1,7,5] => [6,2,3,4,1,5,7] => {{1,5,6},{2},{3},{4},{7}} => {{1,2},{3},{4,5,6,7}} => 4
[2,3,4,6,5,1,7] => [7,2,3,4,6,5,1] => {{1,7},{2},{3},{4},{5,6}} => {{1},{2,4,5,6,7},{3}} => 3
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1,2,4,5,6,7},{3}} => 5
[2,3,4,6,7,1,5] => [7,2,3,4,1,5,6] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,6,7,5,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 4
[2,3,4,7,1,5,6] => [6,2,3,4,7,1,5] => {{1,6},{2},{3},{4},{5,7}} => {{1,3},{2,4,5,6,7}} => 3
[2,3,4,7,1,6,5] => [6,2,3,4,1,7,5] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,7,5,1,6] => [7,2,3,4,6,1,5] => {{1,5,6,7},{2},{3},{4}} => {{1},{2},{3},{4,5,6,7}} => 3
[2,3,4,7,5,6,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1,4,5,6,7},{2},{3}} => 4
[2,3,4,7,6,1,5] => [7,2,3,4,1,6,5] => {{1,5,7},{2},{3},{4},{6}} => {{1},{2,3},{4,5,6,7}} => 4
[2,3,4,7,6,5,1] => [1,2,3,4,7,6,5] => {{1},{2},{3},{4},{5,7},{6}} => {{1,4,5,6,7},{2,3}} => 5
[2,3,5,1,4,6,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,1,4,7,6] => [5,2,3,6,4,1,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,5,1,6,4,7] => [5,2,3,7,4,6,1] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,5,1,6,7,4] => [5,2,3,1,4,6,7] => {{1,4,5},{2},{3},{6},{7}} => {{1,2,3},{4},{5,6,7}} => 4
[2,3,5,1,7,4,6] => [5,2,3,7,4,1,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,1,7,6,4] => [5,2,3,1,4,7,6] => {{1,4,5},{2},{3},{6,7}} => {{1,3},{2},{4},{5,6,7}} => 2
[2,3,5,4,1,6,7] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 2
[2,3,5,4,1,7,6] => [6,2,3,5,4,1,7] => {{1,6},{2},{3},{4,5},{7}} => {{1,2},{3,5,6,7},{4}} => 3
[2,3,5,4,6,1,7] => [7,2,3,5,4,6,1] => {{1,7},{2},{3},{4,5},{6}} => {{1},{2,3,5,6,7},{4}} => 3
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1,2,3,5,6,7},{4}} => 5
[2,3,5,4,7,1,6] => [7,2,3,5,4,1,6] => {{1,6,7},{2},{3},{4,5}} => {{1},{2},{3,5,6,7},{4}} => 2
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1,3,5,6,7},{2},{4}} => 3
[2,3,5,6,1,4,7] => [6,2,3,7,4,5,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,6,1,7,4] => [6,2,3,1,4,5,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,5,6,4,1,7] => [7,2,3,6,4,5,1] => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 2
[2,3,5,6,4,7,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 4
[2,3,5,6,7,1,4] => [7,2,3,1,4,5,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,6,7,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,5,7,1,4,6] => [6,2,3,7,4,1,5] => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 2
[2,3,5,7,1,6,4] => [6,2,3,1,4,7,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,7,4,1,6] => [7,2,3,6,4,1,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,5,7,4,6,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,5,7,6,1,4] => [7,2,3,1,4,6,5] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,5,7,6,4,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 4
[2,3,6,1,4,5,7] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 2
[2,3,6,1,4,7,5] => [5,2,3,6,1,4,7] => {{1,5},{2},{3},{4,6},{7}} => {{1,2,4},{3,5,6,7}} => 3
[2,3,6,1,5,4,7] => [5,2,3,7,6,4,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,1,5,7,4] => [5,2,3,1,6,4,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,6,1,7,4,5] => [5,2,3,7,1,4,6] => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 2
[2,3,6,1,7,5,4] => [5,2,3,1,7,4,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,4,1,5,7] => [6,2,3,5,7,4,1] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,4,1,7,5] => [6,2,3,5,1,4,7] => {{1,4,5,6},{2},{3},{7}} => {{1,2},{3},{4},{5,6,7}} => 3
[2,3,6,4,5,1,7] => [7,2,3,5,6,4,1] => {{1,7},{2},{3},{4,5,6}} => {{1},{2,5,6,7},{3},{4}} => 2
[2,3,6,4,5,7,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1,2,5,6,7},{3},{4}} => 4
[2,3,6,4,7,1,5] => [7,2,3,5,1,4,6] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,4,7,5,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,6,5,1,4,7] => [6,2,3,7,5,4,1] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,6,5,1,7,4] => [6,2,3,1,5,4,7] => {{1,4,6},{2},{3},{5},{7}} => {{1,2},{3,4},{5,6,7}} => 4
[2,3,6,5,4,1,7] => [7,2,3,6,5,4,1] => {{1,7},{2},{3},{4,6},{5}} => {{1},{2,5,6,7},{3,4}} => 3
[2,3,6,5,4,7,1] => [1,2,3,6,5,4,7] => {{1},{2},{3},{4,6},{5},{7}} => {{1,2,5,6,7},{3,4}} => 5
[2,3,6,5,7,1,4] => [7,2,3,1,5,4,6] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,6,5,7,4,1] => [1,2,3,7,5,4,6] => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 4
[2,3,6,7,1,4,5] => [6,2,3,7,1,4,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,7,1,5,4] => [6,2,3,1,7,4,5] => {{1,4,6},{2},{3},{5,7}} => {{1,3},{2,4},{5,6,7}} => 2
[2,3,6,7,4,1,5] => [7,2,3,6,1,4,5] => {{1,5,7},{2},{3},{4,6}} => {{1},{2,4},{3,5,6,7}} => 2
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1,3,5,6,7},{2,4}} => 3
[2,3,6,7,5,1,4] => [7,2,3,1,6,4,5] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,6,7,5,4,1] => [1,2,3,7,6,4,5] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,7,1,4,5,6] => [5,2,3,6,7,1,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,1,4,6,5] => [5,2,3,6,1,7,4] => {{1,5},{2},{3},{4,6,7}} => {{1,4},{2},{3,5,6,7}} => 2
[2,3,7,1,5,4,6] => [5,2,3,7,6,1,4] => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 2
[2,3,7,1,5,6,4] => [5,2,3,1,6,7,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,1,6,4,5] => [5,2,3,7,1,6,4] => {{1,5},{2},{3},{4,7},{6}} => {{1,4},{2,3,5,6,7}} => 3
[2,3,7,1,6,5,4] => [5,2,3,1,7,6,4] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,7,4,1,5,6] => [6,2,3,5,7,1,4] => {{1,6},{2},{3},{4,5,7}} => {{1,3},{2,5,6,7},{4}} => 2
[2,3,7,4,1,6,5] => [6,2,3,5,1,7,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,4,5,1,6] => [7,2,3,5,6,1,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,4,5,6,1] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,7,4,6,1,5] => [7,2,3,5,1,6,4] => {{1,4,5,7},{2},{3},{6}} => {{1},{2,3},{4},{5,6,7}} => 3
[2,3,7,4,6,5,1] => [1,2,3,5,7,6,4] => {{1},{2},{3},{4,5,7},{6}} => {{1,5,6,7},{2,3},{4}} => 4
[2,3,7,5,1,4,6] => [6,2,3,7,5,1,4] => {{1,6},{2},{3},{4,7},{5}} => {{1,3,4},{2,5,6,7}} => 3
[2,3,7,5,1,6,4] => [6,2,3,1,5,7,4] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,7,5,4,1,6] => [7,2,3,6,5,1,4] => {{1,4,6,7},{2},{3},{5}} => {{1},{2},{3,4},{5,6,7}} => 3
[2,3,7,5,4,6,1] => [1,2,3,6,5,7,4] => {{1},{2},{3},{4,6,7},{5}} => {{1,5,6,7},{2},{3,4}} => 4
[2,3,7,5,6,1,4] => [7,2,3,1,5,6,4] => {{1,4,7},{2},{3},{5},{6}} => {{1},{2,3,4},{5,6,7}} => 4
[2,3,7,5,6,4,1] => [1,2,3,7,5,6,4] => {{1},{2},{3},{4,7},{5},{6}} => {{1,5,6,7},{2,3,4}} => 5
[2,3,7,6,1,4,5] => [6,2,3,7,1,5,4] => {{1,5,6},{2},{3},{4,7}} => {{1,4},{2,5,6,7},{3}} => 2
[2,3,7,6,1,5,4] => [6,2,3,1,7,5,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,6,4,1,5] => [7,2,3,6,1,5,4] => {{1,4,5,6,7},{2},{3}} => {{1},{2},{3},{4},{5,6,7}} => 2
[2,3,7,6,4,5,1] => [1,2,3,6,7,5,4] => {{1},{2},{3},{4,5,6,7}} => {{1,5,6,7},{2},{3},{4}} => 3
[2,3,7,6,5,1,4] => [7,2,3,1,6,5,4] => {{1,4,7},{2},{3},{5,6}} => {{1},{2,4},{3},{5,6,7}} => 2
[2,3,7,6,5,4,1] => [1,2,3,7,6,5,4] => {{1},{2},{3},{4,7},{5,6}} => {{1,5,6,7},{2,4},{3}} => 3
[2,4,1,3,5,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,3,5,7,6] => [4,2,5,3,6,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,1,3,6,5,7] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,1,3,6,7,5] => [4,2,5,3,1,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,4,1,3,7,5,6] => [4,2,5,3,7,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,3,7,6,5] => [4,2,5,3,1,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,4,1,5,3,6,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,1,5,3,7,6] => [4,2,6,3,5,1,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,4,1,5,6,3,7] => [4,2,7,3,5,6,1] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,4,1,5,6,7,3] => [4,2,1,3,5,6,7] => {{1,3,4},{2},{5},{6},{7}} => {{1,2,3,4},{5},{6,7}} => 4
[2,4,1,5,7,3,6] => [4,2,7,3,5,1,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,1,5,7,6,3] => [4,2,1,3,5,7,6] => {{1,3,4},{2},{5},{6,7}} => {{1,3,4},{2},{5},{6,7}} => 2
[2,4,1,6,3,5,7] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,6,3,7,5] => [4,2,6,3,1,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,1,6,5,3,7] => [4,2,7,3,6,5,1] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,4,1,6,5,7,3] => [4,2,1,3,6,5,7] => {{1,3,4},{2},{5,6},{7}} => {{1,2,4},{3},{5},{6,7}} => 2
[2,4,1,6,7,3,5] => [4,2,7,3,1,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,6,7,5,3] => [4,2,1,3,7,5,6] => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 1
[2,4,1,7,3,5,6] => [4,2,6,3,7,1,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,4,1,7,3,6,5] => [4,2,6,3,1,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,7,5,3,6] => [4,2,7,3,6,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,1,7,5,6,3] => [4,2,1,3,6,7,5] => {{1,3,4},{2},{5,6,7}} => {{1,4},{2},{3},{5},{6,7}} => 1
[2,4,1,7,6,3,5] => [4,2,7,3,1,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,1,7,6,5,3] => [4,2,1,3,7,6,5] => {{1,3,4},{2},{5,7},{6}} => {{1,4},{2,3},{5},{6,7}} => 2
[2,4,3,1,5,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,1,5,7,6] => [5,2,4,3,6,1,7] => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 2
[2,4,3,1,6,5,7] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 2
[2,4,3,1,6,7,5] => [5,2,4,3,1,6,7] => {{1,5},{2},{3,4},{6},{7}} => {{1,2,3},{4,6,7},{5}} => 3
[2,4,3,1,7,5,6] => [5,2,4,3,7,1,6] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,1,7,6,5] => [5,2,4,3,1,7,6] => {{1,5},{2},{3,4},{6,7}} => {{1,3},{2},{4,6,7},{5}} => 1
[2,4,3,5,1,6,7] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 2
[2,4,3,5,1,7,6] => [6,2,4,3,5,1,7] => {{1,6},{2},{3,4},{5},{7}} => {{1,2},{3,4,6,7},{5}} => 3
[2,4,3,5,6,1,7] => [7,2,4,3,5,6,1] => {{1,7},{2},{3,4},{5},{6}} => {{1},{2,3,4,6,7},{5}} => 3
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1,2,3,4,6,7},{5}} => 5
[2,4,3,5,7,1,6] => [7,2,4,3,5,1,6] => {{1,6,7},{2},{3,4},{5}} => {{1},{2},{3,4,6,7},{5}} => 2
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1,3,4,6,7},{2},{5}} => 3
[2,4,3,6,1,5,7] => [6,2,4,3,7,5,1] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,6,1,7,5] => [6,2,4,3,1,5,7] => {{1,5,6},{2},{3,4},{7}} => {{1,2},{3},{4,6,7},{5}} => 2
[2,4,3,6,5,1,7] => [7,2,4,3,6,5,1] => {{1,7},{2},{3,4},{5,6}} => {{1},{2,4,6,7},{3},{5}} => 1
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1,2,4,6,7},{3},{5}} => 3
[2,4,3,6,7,1,5] => [7,2,4,3,1,5,6] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,6,7,5,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 2
[2,4,3,7,1,5,6] => [6,2,4,3,7,1,5] => {{1,6},{2},{3,4},{5,7}} => {{1,3},{2,4,6,7},{5}} => 1
[2,4,3,7,1,6,5] => [6,2,4,3,1,7,5] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,7,5,1,6] => [7,2,4,3,6,1,5] => {{1,5,6,7},{2},{3,4}} => {{1},{2},{3},{4,6,7},{5}} => 1
[2,4,3,7,5,6,1] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1,4,6,7},{2},{3},{5}} => 2
[2,4,3,7,6,1,5] => [7,2,4,3,1,6,5] => {{1,5,7},{2},{3,4},{6}} => {{1},{2,3},{4,6,7},{5}} => 2
[2,4,3,7,6,5,1] => [1,2,4,3,7,6,5] => {{1},{2},{3,4},{5,7},{6}} => {{1,4,6,7},{2,3},{5}} => 3
[2,4,5,1,3,6,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,1,3,7,6] => [5,2,6,3,4,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,5,1,6,3,7] => [5,2,7,3,4,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,5,1,6,7,3] => [5,2,1,3,4,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,4,5,1,7,3,6] => [5,2,7,3,4,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,1,7,6,3] => [5,2,1,3,4,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,4,5,3,1,6,7] => [6,2,5,3,4,7,1] => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 1
[2,4,5,3,1,7,6] => [6,2,5,3,4,1,7] => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 2
[2,4,5,3,6,1,7] => [7,2,5,3,4,6,1] => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 2
[2,4,5,3,6,7,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 4
[2,4,5,3,7,1,6] => [7,2,5,3,4,1,6] => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 1
[2,4,5,3,7,6,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 2
[2,4,5,6,1,3,7] => [6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,6,1,7,3] => [6,2,1,3,4,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,5,6,3,1,7] => [7,2,6,3,4,5,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,4,5,6,3,7,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,5,6,7,1,3] => [7,2,1,3,4,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,6,7,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,5,7,1,3,6] => [6,2,7,3,4,1,5] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,4,5,7,1,6,3] => [6,2,1,3,4,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,7,3,1,6] => [7,2,6,3,4,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,5,7,3,6,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,5,7,6,1,3] => [7,2,1,3,4,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,5,7,6,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,4,6,1,3,5,7] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 1
[2,4,6,1,3,7,5] => [5,2,6,3,1,4,7] => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 2
[2,4,6,1,5,3,7] => [5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,1,5,7,3] => [5,2,1,3,6,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,6,1,7,3,5] => [5,2,7,3,1,4,6] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,4,6,1,7,5,3] => [5,2,1,3,7,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,3,1,5,7] => [6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,3,1,7,5] => [6,2,5,3,1,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,4,6,3,5,1,7] => [7,2,5,3,6,4,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,4,6,3,5,7,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,6,3,7,1,5] => [7,2,5,3,1,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,3,7,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,6,5,1,3,7] => [6,2,7,3,5,4,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,6,5,1,7,3] => [6,2,1,3,5,4,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,4,6,5,3,1,7] => [7,2,6,3,5,4,1] => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 2
[2,4,6,5,3,7,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 4
[2,4,6,5,7,1,3] => [7,2,1,3,5,4,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,6,5,7,3,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,4,6,7,1,3,5] => [6,2,7,3,1,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,7,1,5,3] => [6,2,1,3,7,4,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,4,6,7,3,1,5] => [7,2,6,3,1,4,5] => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 1
[2,4,6,7,3,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 2
[2,4,6,7,5,1,3] => [7,2,1,3,6,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,6,7,5,3,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,7,1,3,5,6] => [5,2,6,3,7,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,1,3,6,5] => [5,2,6,3,1,7,4] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,4,7,1,5,3,6] => [5,2,7,3,6,1,4] => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 1
[2,4,7,1,5,6,3] => [5,2,1,3,6,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,1,6,3,5] => [5,2,7,3,1,6,4] => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 2
[2,4,7,1,6,5,3] => [5,2,1,3,7,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,7,3,1,5,6] => [6,2,5,3,7,1,4] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,4,7,3,1,6,5] => [6,2,5,3,1,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,3,5,1,6] => [7,2,5,3,6,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,3,5,6,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,7,3,6,1,5] => [7,2,5,3,1,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,4,7,3,6,5,1] => [1,2,5,3,7,6,4] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,4,7,5,1,3,6] => [6,2,7,3,5,1,4] => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 2
[2,4,7,5,1,6,3] => [6,2,1,3,5,7,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,7,5,3,1,6] => [7,2,6,3,5,1,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,4,7,5,3,6,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,4,7,5,6,1,3] => [7,2,1,3,5,6,4] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,4,7,5,6,3,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 4
[2,4,7,6,1,3,5] => [6,2,7,3,1,5,4] => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 1
[2,4,7,6,1,5,3] => [6,2,1,3,7,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,6,3,1,5] => [7,2,6,3,1,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,4,7,6,3,5,1] => [1,2,6,3,7,5,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,4,7,6,5,1,3] => [7,2,1,3,6,5,4] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,4,7,6,5,3,1] => [1,2,7,3,6,5,4] => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 2
[2,5,1,3,4,6,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,1,3,4,7,6] => [4,2,5,6,3,1,7] => {{1,4,6},{2},{3,5},{7}} => {{1,2},{3,5},{4,6,7}} => 2
[2,5,1,3,6,4,7] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 2
[2,5,1,3,6,7,4] => [4,2,5,1,3,6,7] => {{1,4},{2},{3,5},{6},{7}} => {{1,2,3,5},{4,6,7}} => 3
[2,5,1,3,7,4,6] => [4,2,5,7,3,1,6] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,1,3,7,6,4] => [4,2,5,1,3,7,6] => {{1,4},{2},{3,5},{6,7}} => {{1,3,5},{2},{4,6,7}} => 1
[2,5,1,4,3,6,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,4,3,7,6] => [4,2,6,5,3,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,1,4,6,3,7] => [4,2,7,5,3,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,1,4,6,7,3] => [4,2,1,5,3,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,5,1,4,7,3,6] => [4,2,7,5,3,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,4,7,6,3] => [4,2,1,5,3,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,5,1,6,3,4,7] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 1
[2,5,1,6,3,7,4] => [4,2,6,1,3,5,7] => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 2
[2,5,1,6,4,3,7] => [4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,6,4,7,3] => [4,2,1,6,3,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,1,6,7,3,4] => [4,2,7,1,3,5,6] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,5,1,6,7,4,3] => [4,2,1,7,3,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,7,3,4,6] => [4,2,6,7,3,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,7,3,6,4] => [4,2,6,1,3,7,5] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,5,1,7,4,3,6] => [4,2,7,6,3,1,5] => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 1
[2,5,1,7,4,6,3] => [4,2,1,6,3,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,1,7,6,3,4] => [4,2,7,1,3,6,5] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 2
[2,5,1,7,6,4,3] => [4,2,1,7,3,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,3,1,4,6,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,1,4,7,6] => [5,2,4,6,3,1,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,3,1,6,4,7] => [5,2,4,7,3,6,1] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,3,1,6,7,4] => [5,2,4,1,3,6,7] => {{1,3,4,5},{2},{6},{7}} => {{1,2,3},{4},{5},{6,7}} => 3
[2,5,3,1,7,4,6] => [5,2,4,7,3,1,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,1,7,6,4] => [5,2,4,1,3,7,6] => {{1,3,4,5},{2},{6,7}} => {{1,3},{2},{4},{5},{6,7}} => 1
[2,5,3,4,1,6,7] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 1
[2,5,3,4,1,7,6] => [6,2,4,5,3,1,7] => {{1,6},{2},{3,4,5},{7}} => {{1,2},{3,6,7},{4},{5}} => 2
[2,5,3,4,6,1,7] => [7,2,4,5,3,6,1] => {{1,7},{2},{3,4,5},{6}} => {{1},{2,3,6,7},{4},{5}} => 2
[2,5,3,4,6,7,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1,2,3,6,7},{4},{5}} => 4
[2,5,3,4,7,1,6] => [7,2,4,5,3,1,6] => {{1,6,7},{2},{3,4,5}} => {{1},{2},{3,6,7},{4},{5}} => 1
[2,5,3,4,7,6,1] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1,3,6,7},{2},{4},{5}} => 2
[2,5,3,6,1,4,7] => [6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,6,1,7,4] => [6,2,4,1,3,5,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,3,6,4,1,7] => [7,2,4,6,3,5,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,5,3,6,4,7,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,5,3,6,7,1,4] => [7,2,4,1,3,5,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,6,7,4,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,5,3,7,1,4,6] => [6,2,4,7,3,1,5] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,5,3,7,1,6,4] => [6,2,4,1,3,7,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,7,4,1,6] => [7,2,4,6,3,1,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,3,7,4,6,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,5,3,7,6,1,4] => [7,2,4,1,3,6,5] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,3,7,6,4,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,5,4,1,3,6,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,1,3,7,6] => [5,2,6,4,3,1,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,5,4,1,6,3,7] => [5,2,7,4,3,6,1] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,5,4,1,6,7,3] => [5,2,1,4,3,6,7] => {{1,3,5},{2},{4},{6},{7}} => {{1,2,3},{4,5},{6,7}} => 4
[2,5,4,1,7,3,6] => [5,2,7,4,3,1,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,1,7,6,3] => [5,2,1,4,3,7,6] => {{1,3,5},{2},{4},{6,7}} => {{1,3},{2},{4,5},{6,7}} => 2
[2,5,4,3,1,6,7] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 2
[2,5,4,3,1,7,6] => [6,2,5,4,3,1,7] => {{1,6},{2},{3,5},{4},{7}} => {{1,2},{3,6,7},{4,5}} => 3
[2,5,4,3,6,1,7] => [7,2,5,4,3,6,1] => {{1,7},{2},{3,5},{4},{6}} => {{1},{2,3,6,7},{4,5}} => 3
[2,5,4,3,6,7,1] => [1,2,5,4,3,6,7] => {{1},{2},{3,5},{4},{6},{7}} => {{1,2,3,6,7},{4,5}} => 5
[2,5,4,3,7,1,6] => [7,2,5,4,3,1,6] => {{1,6,7},{2},{3,5},{4}} => {{1},{2},{3,6,7},{4,5}} => 2
[2,5,4,3,7,6,1] => [1,2,5,4,3,7,6] => {{1},{2},{3,5},{4},{6,7}} => {{1,3,6,7},{2},{4,5}} => 3
[2,5,4,6,1,3,7] => [6,2,7,4,3,5,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,6,1,7,3] => [6,2,1,4,3,5,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,5,4,6,3,1,7] => [7,2,6,4,3,5,1] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 2
[2,5,4,6,3,7,1] => [1,2,6,4,3,5,7] => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 4
[2,5,4,6,7,1,3] => [7,2,1,4,3,5,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,6,7,3,1] => [1,2,7,4,3,5,6] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,5,4,7,1,3,6] => [6,2,7,4,3,1,5] => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 2
[2,5,4,7,1,6,3] => [6,2,1,4,3,7,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,7,3,1,6] => [7,2,6,4,3,1,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,5,4,7,3,6,1] => [1,2,6,4,3,7,5] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,5,4,7,6,1,3] => [7,2,1,4,3,6,5] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,5,4,7,6,3,1] => [1,2,7,4,3,6,5] => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 4
[2,5,6,1,3,4,7] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,1,3,7,4] => [5,2,6,1,3,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,6,1,4,3,7] => [5,2,7,6,3,4,1] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,5,6,1,4,7,3] => [5,2,1,6,3,4,7] => {{1,3,5},{2},{4,6},{7}} => {{1,2,4},{3,5},{6,7}} => 2
[2,5,6,1,7,3,4] => [5,2,7,1,3,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,1,7,4,3] => [5,2,1,7,3,4,6] => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 1
[2,5,6,3,1,4,7] => [6,2,5,7,3,4,1] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,6,3,1,7,4] => [6,2,5,1,3,4,7] => {{1,4,6},{2},{3,5},{7}} => {{1,2},{3,5},{4,6,7}} => 2
[2,5,6,3,4,1,7] => [7,2,5,6,3,4,1] => {{1,7},{2},{3,5},{4,6}} => {{1},{2,4,6,7},{3,5}} => 1
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1,2,4,6,7},{3,5}} => 3
[2,5,6,3,7,1,4] => [7,2,5,1,3,4,6] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,6,3,7,4,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 2
[2,5,6,4,1,3,7] => [6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,4,1,7,3] => [6,2,1,5,3,4,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,5,6,4,3,1,7] => [7,2,6,5,3,4,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,5,6,4,3,7,1] => [1,2,6,5,3,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,5,6,4,7,1,3] => [7,2,1,5,3,4,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,4,7,3,1] => [1,2,7,5,3,4,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,5,6,7,1,3,4] => [6,2,7,1,3,4,5] => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 1
[2,5,6,7,1,4,3] => [6,2,1,7,3,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,7,3,1,4] => [7,2,6,1,3,4,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,6,7,3,4,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,5,6,7,4,1,3] => [7,2,1,6,3,4,5] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,5,6,7,4,3,1] => [1,2,7,6,3,4,5] => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 2
[2,5,7,1,3,4,6] => [5,2,6,7,3,1,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,5,7,1,3,6,4] => [5,2,6,1,3,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,1,4,3,6] => [5,2,7,6,3,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,1,4,6,3] => [5,2,1,6,3,7,4] => {{1,3,5},{2},{4,6,7}} => {{1,4},{2},{3,5},{6,7}} => 1
[2,5,7,1,6,3,4] => [5,2,7,1,3,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,7,1,6,4,3] => [5,2,1,7,3,6,4] => {{1,3,5},{2},{4,7},{6}} => {{1,4},{2,3,5},{6,7}} => 2
[2,5,7,3,1,4,6] => [6,2,5,7,3,1,4] => {{1,6},{2},{3,5},{4,7}} => {{1,4},{2,6,7},{3,5}} => 1
[2,5,7,3,1,6,4] => [6,2,5,1,3,7,4] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,7,3,4,1,6] => [7,2,5,6,3,1,4] => {{1,4,6,7},{2},{3,5}} => {{1},{2},{3,5},{4,6,7}} => 1
[2,5,7,3,4,6,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1,4,6,7},{2},{3,5}} => 2
[2,5,7,3,6,1,4] => [7,2,5,1,3,6,4] => {{1,4,7},{2},{3,5},{6}} => {{1},{2,3,5},{4,6,7}} => 2
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1,4,6,7},{2,3,5}} => 3
[2,5,7,4,1,3,6] => [6,2,7,5,3,1,4] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,5,7,4,1,6,3] => [6,2,1,5,3,7,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,4,3,1,6] => [7,2,6,5,3,1,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,4,3,6,1] => [1,2,6,5,3,7,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,5,7,4,6,1,3] => [7,2,1,5,3,6,4] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,5,7,4,6,3,1] => [1,2,7,5,3,6,4] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,5,7,6,1,3,4] => [6,2,7,1,3,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,6,1,4,3] => [6,2,1,7,3,5,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,5,7,6,3,1,4] => [7,2,6,1,3,5,4] => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 1
[2,5,7,6,3,4,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 2
[2,5,7,6,4,1,3] => [7,2,1,6,3,5,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,5,7,6,4,3,1] => [1,2,7,6,3,5,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,1,3,4,5,7] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,1,3,4,7,5] => [4,2,5,6,1,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,1,3,5,4,7] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 1
[2,6,1,3,5,7,4] => [4,2,5,1,6,3,7] => {{1,4},{2},{3,5,6},{7}} => {{1,2,5},{3},{4,6,7}} => 2
[2,6,1,3,7,4,5] => [4,2,5,7,1,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,1,3,7,5,4] => [4,2,5,1,7,3,6] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,6,1,4,3,5,7] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,1,4,3,7,5] => [4,2,6,5,1,3,7] => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 2
[2,6,1,4,5,3,7] => [4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,1,4,5,7,3] => [4,2,1,5,6,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,1,4,7,3,5] => [4,2,7,5,1,3,6] => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 1
[2,6,1,4,7,5,3] => [4,2,1,5,7,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,1,5,3,4,7] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,5},{3,4,6,7}} => 2
[2,6,1,5,3,7,4] => [4,2,6,1,5,3,7] => {{1,4},{2},{3,6},{5},{7}} => {{1,2,5},{3,4,6,7}} => 3
[2,6,1,5,4,3,7] => [4,2,7,6,5,3,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,1,5,4,7,3] => [4,2,1,6,5,3,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,6,1,5,7,3,4] => [4,2,7,1,5,3,6] => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 2
[2,6,1,5,7,4,3] => [4,2,1,7,5,3,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,1,7,3,4,5] => [4,2,6,7,1,3,5] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,1,7,3,5,4] => [4,2,6,1,7,3,5] => {{1,4},{2},{3,6},{5,7}} => {{1,3},{2,5},{4,6,7}} => 1
[2,6,1,7,4,3,5] => [4,2,7,6,1,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,1,7,4,5,3] => [4,2,1,6,7,3,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,6,1,7,5,3,4] => [4,2,7,1,6,3,5] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,6,1,7,5,4,3] => [4,2,1,7,6,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,1,4,5,7] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 1
[2,6,3,1,4,7,5] => [5,2,4,6,1,3,7] => {{1,5},{2},{3,4,6},{7}} => {{1,2,4},{3,6,7},{5}} => 2
[2,6,3,1,5,4,7] => [5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,1,5,7,4] => [5,2,4,1,6,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,3,1,7,4,5] => [5,2,4,7,1,3,6] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,6,3,1,7,5,4] => [5,2,4,1,7,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,4,1,5,7] => [6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,4,1,7,5] => [6,2,4,5,1,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,3,4,5,1,7] => [7,2,4,5,6,3,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,6,3,4,5,7,1] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,6,3,4,7,1,5] => [7,2,4,5,1,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,4,7,5,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,3,5,1,4,7] => [6,2,4,7,5,3,1] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,3,5,1,7,4] => [6,2,4,1,5,3,7] => {{1,3,4,6},{2},{5},{7}} => {{1,2},{3,4},{5},{6,7}} => 3
[2,6,3,5,4,1,7] => [7,2,4,6,5,3,1] => {{1,7},{2},{3,4,6},{5}} => {{1},{2,6,7},{3,4},{5}} => 2
[2,6,3,5,4,7,1] => [1,2,4,6,5,3,7] => {{1},{2},{3,4,6},{5},{7}} => {{1,2,6,7},{3,4},{5}} => 4
[2,6,3,5,7,1,4] => [7,2,4,1,5,3,6] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,3,5,7,4,1] => [1,2,4,7,5,3,6] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,6,3,7,1,4,5] => [6,2,4,7,1,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,7,1,5,4] => [6,2,4,1,7,3,5] => {{1,3,4,6},{2},{5,7}} => {{1,3},{2,4},{5},{6,7}} => 1
[2,6,3,7,4,1,5] => [7,2,4,6,1,3,5] => {{1,5,7},{2},{3,4,6}} => {{1},{2,4},{3,6,7},{5}} => 1
[2,6,3,7,4,5,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1,3,6,7},{2,4},{5}} => 2
[2,6,3,7,5,1,4] => [7,2,4,1,6,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,3,7,5,4,1] => [1,2,4,7,6,3,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,4,1,3,5,7] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 2
[2,6,4,1,3,7,5] => [5,2,6,4,1,3,7] => {{1,5},{2},{3,6},{4},{7}} => {{1,2,4,5},{3,6,7}} => 3
[2,6,4,1,5,3,7] => [5,2,7,4,6,3,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,1,5,7,3] => [5,2,1,4,6,3,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,6,4,1,7,3,5] => [5,2,7,4,1,3,6] => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 2
[2,6,4,1,7,5,3] => [5,2,1,4,7,3,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,3,1,5,7] => [6,2,5,4,7,3,1] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,3,1,7,5] => [6,2,5,4,1,3,7] => {{1,3,5,6},{2},{4},{7}} => {{1,2},{3},{4,5},{6,7}} => 3
[2,6,4,3,5,1,7] => [7,2,5,4,6,3,1] => {{1,7},{2},{3,5,6},{4}} => {{1},{2,6,7},{3},{4,5}} => 2
[2,6,4,3,5,7,1] => [1,2,5,4,6,3,7] => {{1},{2},{3,5,6},{4},{7}} => {{1,2,6,7},{3},{4,5}} => 4
[2,6,4,3,7,1,5] => [7,2,5,4,1,3,6] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,3,7,5,1] => [1,2,5,4,7,3,6] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,6,4,5,1,3,7] => [6,2,7,4,5,3,1] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,6,4,5,1,7,3] => [6,2,1,4,5,3,7] => {{1,3,6},{2},{4},{5},{7}} => {{1,2},{3,4,5},{6,7}} => 4
[2,6,4,5,3,1,7] => [7,2,6,4,5,3,1] => {{1,7},{2},{3,6},{4},{5}} => {{1},{2,6,7},{3,4,5}} => 3
[2,6,4,5,3,7,1] => [1,2,6,4,5,3,7] => {{1},{2},{3,6},{4},{5},{7}} => {{1,2,6,7},{3,4,5}} => 5
[2,6,4,5,7,1,3] => [7,2,1,4,5,3,6] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,6,4,5,7,3,1] => [1,2,7,4,5,3,6] => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 4
[2,6,4,7,1,3,5] => [6,2,7,4,1,3,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,7,1,5,3] => [6,2,1,4,7,3,5] => {{1,3,6},{2},{4},{5,7}} => {{1,3},{2,4,5},{6,7}} => 2
[2,6,4,7,3,1,5] => [7,2,6,4,1,3,5] => {{1,5,7},{2},{3,6},{4}} => {{1},{2,4,5},{3,6,7}} => 2
[2,6,4,7,3,5,1] => [1,2,6,4,7,3,5] => {{1},{2},{3,6},{4},{5,7}} => {{1,3,6,7},{2,4,5}} => 3
[2,6,4,7,5,1,3] => [7,2,1,4,6,3,5] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,6,4,7,5,3,1] => [1,2,7,4,6,3,5] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,6,5,1,3,4,7] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,5,1,3,7,4] => [5,2,6,1,4,3,7] => {{1,4,5},{2},{3,6},{7}} => {{1,2,5},{3,6,7},{4}} => 2
[2,6,5,1,4,3,7] => [5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,1,4,7,3] => [5,2,1,6,4,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,5,1,7,3,4] => [5,2,7,1,4,3,6] => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 1
[2,6,5,1,7,4,3] => [5,2,1,7,4,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,3,1,4,7] => [6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,3,1,7,4] => [6,2,5,1,4,3,7] => {{1,3,4,5,6},{2},{7}} => {{1,2},{3},{4},{5},{6,7}} => 2
[2,6,5,3,4,1,7] => [7,2,5,6,4,3,1] => {{1,7},{2},{3,4,5,6}} => {{1},{2,6,7},{3},{4},{5}} => 1
[2,6,5,3,4,7,1] => [1,2,5,6,4,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1,2,6,7},{3},{4},{5}} => 3
[2,6,5,3,7,1,4] => [7,2,5,1,4,3,6] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,3,7,4,1] => [1,2,5,7,4,3,6] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,5,4,1,3,7] => [6,2,7,5,4,3,1] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,6,5,4,1,7,3] => [6,2,1,5,4,3,7] => {{1,3,6},{2},{4,5},{7}} => {{1,2},{3,5},{4},{6,7}} => 2
[2,6,5,4,3,1,7] => [7,2,6,5,4,3,1] => {{1,7},{2},{3,6},{4,5}} => {{1},{2,6,7},{3,5},{4}} => 1
[2,6,5,4,3,7,1] => [1,2,6,5,4,3,7] => {{1},{2},{3,6},{4,5},{7}} => {{1,2,6,7},{3,5},{4}} => 3
[2,6,5,4,7,1,3] => [7,2,1,5,4,3,6] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,6,5,4,7,3,1] => [1,2,7,5,4,3,6] => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 2
[2,6,5,7,1,3,4] => [6,2,7,1,4,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,7,1,4,3] => [6,2,1,7,4,3,5] => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 1
[2,6,5,7,3,1,4] => [7,2,6,1,4,3,5] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,5,7,3,4,1] => [1,2,6,7,4,3,5] => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 2
[2,6,5,7,4,1,3] => [7,2,1,6,4,3,5] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,5,7,4,3,1] => [1,2,7,6,4,3,5] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,7,1,3,4,5] => [5,2,6,7,1,3,4] => {{1,5},{2},{3,6},{4,7}} => {{1,4},{2,5},{3,6,7}} => 1
[2,6,7,1,3,5,4] => [5,2,6,1,7,3,4] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,7,1,4,3,5] => [5,2,7,6,1,3,4] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,6,7,1,4,5,3] => [5,2,1,6,7,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,1,5,3,4] => [5,2,7,1,6,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,1,5,4,3] => [5,2,1,7,6,3,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,6,7,3,1,4,5] => [6,2,5,7,1,3,4] => {{1,3,5,6},{2},{4,7}} => {{1,4},{2,5},{3},{6,7}} => 1
[2,6,7,3,1,5,4] => [6,2,5,1,7,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,3,4,1,5] => [7,2,5,6,1,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,3,4,5,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,7,3,5,1,4] => [7,2,5,1,6,3,4] => {{1,4,7},{2},{3,5,6}} => {{1},{2,5},{3},{4,6,7}} => 1
[2,6,7,3,5,4,1] => [1,2,5,7,6,3,4] => {{1},{2},{3,5,6},{4,7}} => {{1,4,6,7},{2,5},{3}} => 2
[2,6,7,4,1,3,5] => [6,2,7,5,1,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,4,1,5,3] => [6,2,1,5,7,3,4] => {{1,3,6},{2},{4,5,7}} => {{1,3},{2,5},{4},{6,7}} => 1
[2,6,7,4,3,1,5] => [7,2,6,5,1,3,4] => {{1,4,5,7},{2},{3,6}} => {{1},{2,5},{3,6,7},{4}} => 1
[2,6,7,4,3,5,1] => [1,2,6,5,7,3,4] => {{1},{2},{3,6},{4,5,7}} => {{1,3,6,7},{2,5},{4}} => 2
[2,6,7,4,5,1,3] => [7,2,1,5,6,3,4] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,6,7,4,5,3,1] => [1,2,7,5,6,3,4] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,6,7,5,1,3,4] => [6,2,7,1,5,3,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,7,5,1,4,3] => [6,2,1,7,5,3,4] => {{1,3,6},{2},{4,7},{5}} => {{1,3,4},{2,5},{6,7}} => 2
[2,6,7,5,3,1,4] => [7,2,6,1,5,3,4] => {{1,4,7},{2},{3,6},{5}} => {{1},{2,5},{3,4,6,7}} => 2
[2,6,7,5,3,4,1] => [1,2,6,7,5,3,4] => {{1},{2},{3,6},{4,7},{5}} => {{1,3,4,6,7},{2,5}} => 3
[2,6,7,5,4,1,3] => [7,2,1,6,5,3,4] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,6,7,5,4,3,1] => [1,2,7,6,5,3,4] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,7,1,3,4,5,6] => [4,2,5,6,7,1,3] => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 1
[2,7,1,3,4,6,5] => [4,2,5,6,1,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,3,5,4,6] => [4,2,5,7,6,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,3,5,6,4] => [4,2,5,1,6,7,3] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,7,1,3,6,4,5] => [4,2,5,7,1,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,1,3,6,5,4] => [4,2,5,1,7,6,3] => {{1,4},{2},{3,5,7},{6}} => {{1,5},{2,3},{4,6,7}} => 2
[2,7,1,4,3,5,6] => [4,2,6,5,7,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,4,3,6,5] => [4,2,6,5,1,7,3] => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 1
[2,7,1,4,5,3,6] => [4,2,7,5,6,1,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,1,4,5,6,3] => [4,2,1,5,6,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,4,6,3,5] => [4,2,7,5,1,6,3] => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 2
[2,7,1,4,6,5,3] => [4,2,1,5,7,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,1,5,3,4,6] => [4,2,6,7,5,1,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,1,5,3,6,4] => [4,2,6,1,5,7,3] => {{1,4},{2},{3,6,7},{5}} => {{1,5},{2},{3,4,6,7}} => 2
[2,7,1,5,4,3,6] => [4,2,7,6,5,1,3] => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 2
[2,7,1,5,4,6,3] => [4,2,1,6,5,7,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,1,5,6,3,4] => [4,2,7,1,5,6,3] => {{1,4},{2},{3,7},{5},{6}} => {{1,5},{2,3,4,6,7}} => 3
[2,7,1,5,6,4,3] => [4,2,1,7,5,6,3] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,7,1,6,3,4,5] => [4,2,6,7,1,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,6,3,5,4] => [4,2,6,1,7,5,3] => {{1,4},{2},{3,5,6,7}} => {{1,5},{2},{3},{4,6,7}} => 1
[2,7,1,6,4,3,5] => [4,2,7,6,1,5,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,1,6,4,5,3] => [4,2,1,6,7,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,1,6,5,3,4] => [4,2,7,1,6,5,3] => {{1,4},{2},{3,7},{5,6}} => {{1,5},{2,4,6,7},{3}} => 1
[2,7,1,6,5,4,3] => [4,2,1,7,6,5,3] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,7,3,1,4,5,6] => [5,2,4,6,7,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,1,4,6,5] => [5,2,4,6,1,7,3] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,7,3,1,5,4,6] => [5,2,4,7,6,1,3] => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 1
[2,7,3,1,5,6,4] => [5,2,4,1,6,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,1,6,4,5] => [5,2,4,7,1,6,3] => {{1,5},{2},{3,4,7},{6}} => {{1,4},{2,3,6,7},{5}} => 2
[2,7,3,1,6,5,4] => [5,2,4,1,7,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,3,4,1,5,6] => [6,2,4,5,7,1,3] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,7,3,4,1,6,5] => [6,2,4,5,1,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,4,5,1,6] => [7,2,4,5,6,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,4,5,6,1] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,3,4,6,1,5] => [7,2,4,5,1,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,3,4,6,5,1] => [1,2,4,5,7,6,3] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,7,3,5,1,4,6] => [6,2,4,7,5,1,3] => {{1,6},{2},{3,4,7},{5}} => {{1,3,4},{2,6,7},{5}} => 2
[2,7,3,5,1,6,4] => [6,2,4,1,5,7,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,3,5,4,1,6] => [7,2,4,6,5,1,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,3,5,4,6,1] => [1,2,4,6,5,7,3] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,7,3,5,6,1,4] => [7,2,4,1,5,6,3] => {{1,3,4,7},{2},{5},{6}} => {{1},{2,3,4},{5},{6,7}} => 3
[2,7,3,5,6,4,1] => [1,2,4,7,5,6,3] => {{1},{2},{3,4,7},{5},{6}} => {{1,6,7},{2,3,4},{5}} => 4
[2,7,3,6,1,4,5] => [6,2,4,7,1,5,3] => {{1,5,6},{2},{3,4,7}} => {{1,4},{2,6,7},{3},{5}} => 1
[2,7,3,6,1,5,4] => [6,2,4,1,7,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,6,4,1,5] => [7,2,4,6,1,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,3,6,4,5,1] => [1,2,4,6,7,5,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,3,6,5,1,4] => [7,2,4,1,6,5,3] => {{1,3,4,7},{2},{5,6}} => {{1},{2,4},{3},{5},{6,7}} => 1
[2,7,3,6,5,4,1] => [1,2,4,7,6,5,3] => {{1},{2},{3,4,7},{5,6}} => {{1,6,7},{2,4},{3},{5}} => 2
[2,7,4,1,3,5,6] => [5,2,6,4,7,1,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,1,3,6,5] => [5,2,6,4,1,7,3] => {{1,5},{2},{3,6,7},{4}} => {{1,4,5},{2},{3,6,7}} => 2
[2,7,4,1,5,3,6] => [5,2,7,4,6,1,3] => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 2
[2,7,4,1,5,6,3] => [5,2,1,4,6,7,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,1,6,3,5] => [5,2,7,4,1,6,3] => {{1,5},{2},{3,7},{4},{6}} => {{1,4,5},{2,3,6,7}} => 3
[2,7,4,1,6,5,3] => [5,2,1,4,7,6,3] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,7,4,3,1,5,6] => [6,2,5,4,7,1,3] => {{1,6},{2},{3,5,7},{4}} => {{1,3},{2,6,7},{4,5}} => 2
[2,7,4,3,1,6,5] => [6,2,5,4,1,7,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,3,5,1,6] => [7,2,5,4,6,1,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,3,5,6,1] => [1,2,5,4,6,7,3] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,7,4,3,6,1,5] => [7,2,5,4,1,6,3] => {{1,3,5,7},{2},{4},{6}} => {{1},{2,3},{4,5},{6,7}} => 3
[2,7,4,3,6,5,1] => [1,2,5,4,7,6,3] => {{1},{2},{3,5,7},{4},{6}} => {{1,6,7},{2,3},{4,5}} => 4
[2,7,4,5,1,3,6] => [6,2,7,4,5,1,3] => {{1,6},{2},{3,7},{4},{5}} => {{1,3,4,5},{2,6,7}} => 3
[2,7,4,5,1,6,3] => [6,2,1,4,5,7,3] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,7,4,5,3,1,6] => [7,2,6,4,5,1,3] => {{1,3,6,7},{2},{4},{5}} => {{1},{2},{3,4,5},{6,7}} => 3
[2,7,4,5,3,6,1] => [1,2,6,4,5,7,3] => {{1},{2},{3,6,7},{4},{5}} => {{1,6,7},{2},{3,4,5}} => 4
[2,7,4,5,6,1,3] => [7,2,1,4,5,6,3] => {{1,3,7},{2},{4},{5},{6}} => {{1},{2,3,4,5},{6,7}} => 4
[2,7,4,5,6,3,1] => [1,2,7,4,5,6,3] => {{1},{2},{3,7},{4},{5},{6}} => {{1,6,7},{2,3,4,5}} => 5
[2,7,4,6,1,3,5] => [6,2,7,4,1,5,3] => {{1,5,6},{2},{3,7},{4}} => {{1,4,5},{2,6,7},{3}} => 2
[2,7,4,6,1,5,3] => [6,2,1,4,7,5,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,6,3,1,5] => [7,2,6,4,1,5,3] => {{1,3,5,6,7},{2},{4}} => {{1},{2},{3},{4,5},{6,7}} => 2
[2,7,4,6,3,5,1] => [1,2,6,4,7,5,3] => {{1},{2},{3,5,6,7},{4}} => {{1,6,7},{2},{3},{4,5}} => 3
[2,7,4,6,5,1,3] => [7,2,1,4,6,5,3] => {{1,3,7},{2},{4},{5,6}} => {{1},{2,4,5},{3},{6,7}} => 2
[2,7,4,6,5,3,1] => [1,2,7,4,6,5,3] => {{1},{2},{3,7},{4},{5,6}} => {{1,6,7},{2,4,5},{3}} => 3
[2,7,5,1,3,4,6] => [5,2,6,7,4,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,1,3,6,4] => [5,2,6,1,4,7,3] => {{1,4,5},{2},{3,6,7}} => {{1,5},{2},{3,6,7},{4}} => 1
[2,7,5,1,4,3,6] => [5,2,7,6,4,1,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,5,1,4,6,3] => [5,2,1,6,4,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,1,6,3,4] => [5,2,7,1,4,6,3] => {{1,4,5},{2},{3,7},{6}} => {{1,5},{2,3,6,7},{4}} => 2
[2,7,5,1,6,4,3] => [5,2,1,7,4,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,5,3,1,4,6] => [6,2,5,7,4,1,3] => {{1,6},{2},{3,4,5,7}} => {{1,3},{2,6,7},{4},{5}} => 1
[2,7,5,3,1,6,4] => [6,2,5,1,4,7,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,3,4,1,6] => [7,2,5,6,4,1,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,3,4,6,1] => [1,2,5,6,4,7,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,5,3,6,1,4] => [7,2,5,1,4,6,3] => {{1,3,4,5,7},{2},{6}} => {{1},{2,3},{4},{5},{6,7}} => 2
[2,7,5,3,6,4,1] => [1,2,5,7,4,6,3] => {{1},{2},{3,4,5,7},{6}} => {{1,6,7},{2,3},{4},{5}} => 3
[2,7,5,4,1,3,6] => [6,2,7,5,4,1,3] => {{1,6},{2},{3,7},{4,5}} => {{1,3,5},{2,6,7},{4}} => 1
[2,7,5,4,1,6,3] => [6,2,1,5,4,7,3] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,7,5,4,3,1,6] => [7,2,6,5,4,1,3] => {{1,3,6,7},{2},{4,5}} => {{1},{2},{3,5},{4},{6,7}} => 1
[2,7,5,4,3,6,1] => [1,2,6,5,4,7,3] => {{1},{2},{3,6,7},{4,5}} => {{1,6,7},{2},{3,5},{4}} => 2
[2,7,5,4,6,1,3] => [7,2,1,5,4,6,3] => {{1,3,7},{2},{4,5},{6}} => {{1},{2,3,5},{4},{6,7}} => 2
[2,7,5,4,6,3,1] => [1,2,7,5,4,6,3] => {{1},{2},{3,7},{4,5},{6}} => {{1,6,7},{2,3,5},{4}} => 3
[2,7,5,6,1,3,4] => [6,2,7,1,4,5,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,5,6,1,4,3] => [6,2,1,7,4,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,6,3,1,4] => [7,2,6,1,4,5,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,5,6,3,4,1] => [1,2,6,7,4,5,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,5,6,4,1,3] => [7,2,1,6,4,5,3] => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 1
[2,7,5,6,4,3,1] => [1,2,7,6,4,5,3] => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 2
[2,7,6,1,3,4,5] => [5,2,6,7,1,4,3] => {{1,5},{2},{3,4,6,7}} => {{1,4},{2},{3,6,7},{5}} => 1
[2,7,6,1,3,5,4] => [5,2,6,1,7,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,1,4,3,5] => [5,2,7,6,1,4,3] => {{1,5},{2},{3,7},{4,6}} => {{1,5},{2,4},{3,6,7}} => 1
[2,7,6,1,4,5,3] => [5,2,1,6,7,4,3] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,7,6,1,5,3,4] => [5,2,7,1,6,4,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,6,1,5,4,3] => [5,2,1,7,6,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,3,1,4,5] => [6,2,5,7,1,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,3,1,5,4] => [6,2,5,1,7,4,3] => {{1,4,6},{2},{3,5,7}} => {{1,3,5},{2,4,6,7}} => 1
[2,7,6,3,4,1,5] => [7,2,5,6,1,4,3] => {{1,3,5,7},{2},{4,6}} => {{1},{2,4},{3,5},{6,7}} => 1
[2,7,6,3,4,5,1] => [1,2,5,6,7,4,3] => {{1},{2},{3,5,7},{4,6}} => {{1,6,7},{2,4},{3,5}} => 2
[2,7,6,3,5,1,4] => [7,2,5,1,6,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,3,5,4,1] => [1,2,5,7,6,4,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,6,4,1,3,5] => [6,2,7,5,1,4,3] => {{1,4,5,6},{2},{3,7}} => {{1,5},{2,6,7},{3},{4}} => 1
[2,7,6,4,1,5,3] => [6,2,1,5,7,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,4,3,1,5] => [7,2,6,5,1,4,3] => {{1,3,4,5,6,7},{2}} => {{1},{2},{3},{4},{5},{6,7}} => 1
[2,7,6,4,3,5,1] => [1,2,6,5,7,4,3] => {{1},{2},{3,4,5,6,7}} => {{1,6,7},{2},{3},{4},{5}} => 2
[2,7,6,4,5,1,3] => [7,2,1,5,6,4,3] => {{1,3,7},{2},{4,5,6}} => {{1},{2,5},{3},{4},{6,7}} => 1
[2,7,6,4,5,3,1] => [1,2,7,5,6,4,3] => {{1},{2},{3,7},{4,5,6}} => {{1,6,7},{2,5},{3},{4}} => 2
[2,7,6,5,1,3,4] => [6,2,7,1,5,4,3] => {{1,4,6},{2},{3,7},{5}} => {{1,5},{2,6,7},{3,4}} => 2
[2,7,6,5,1,4,3] => [6,2,1,7,5,4,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,6,5,3,1,4] => [7,2,6,1,5,4,3] => {{1,3,4,6,7},{2},{5}} => {{1},{2},{3,4},{5},{6,7}} => 2
[2,7,6,5,3,4,1] => [1,2,6,7,5,4,3] => {{1},{2},{3,4,6,7},{5}} => {{1,6,7},{2},{3,4},{5}} => 3
[2,7,6,5,4,1,3] => [7,2,1,6,5,4,3] => {{1,3,7},{2},{4,6},{5}} => {{1},{2,5},{3,4},{6,7}} => 2
[2,7,6,5,4,3,1] => [1,2,7,6,5,4,3] => {{1},{2},{3,7},{4,6},{5}} => {{1,6,7},{2,5},{3,4}} => 3
[3,1,2,4,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,4,5,7,6] => [3,4,2,5,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,2,4,6,5,7] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,2,4,6,7,5] => [3,4,2,5,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,1,2,4,7,5,6] => [3,4,2,5,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,4,7,6,5] => [3,4,2,5,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,1,2,5,4,6,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,2,5,4,7,6] => [3,4,2,6,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,1,2,5,6,4,7] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,1,2,5,6,7,4] => [3,4,2,1,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[3,1,2,5,7,4,6] => [3,4,2,7,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,2,5,7,6,4] => [3,4,2,1,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[3,1,2,6,4,5,7] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,6,4,7,5] => [3,4,2,6,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,2,6,5,4,7] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,1,2,6,5,7,4] => [3,4,2,1,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[3,1,2,6,7,4,5] => [3,4,2,7,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,6,7,5,4] => [3,4,2,1,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[3,1,2,7,4,5,6] => [3,4,2,6,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,1,2,7,4,6,5] => [3,4,2,6,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,7,5,4,6] => [3,4,2,7,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,2,7,5,6,4] => [3,4,2,1,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[3,1,2,7,6,4,5] => [3,4,2,7,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,2,7,6,5,4] => [3,4,2,1,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[3,1,4,2,5,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,2,5,7,6] => [3,5,2,4,6,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,1,4,2,6,5,7] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,1,4,2,6,7,5] => [3,5,2,4,1,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[3,1,4,2,7,5,6] => [3,5,2,4,7,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,2,7,6,5] => [3,5,2,4,1,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[3,1,4,5,2,6,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,1,4,5,2,7,6] => [3,6,2,4,5,1,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[3,1,4,5,6,2,7] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[3,1,4,5,6,7,2] => [3,1,2,4,5,6,7] => {{1,2,3},{4},{5},{6},{7}} => {{1,2,3,4,5},{6},{7}} => 4
[3,1,4,5,7,2,6] => [3,7,2,4,5,1,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,1,4,5,7,6,2] => [3,1,2,4,5,7,6] => {{1,2,3},{4},{5},{6,7}} => {{1,3,4,5},{2},{6},{7}} => 2
[3,1,4,6,2,5,7] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,6,2,7,5] => [3,6,2,4,1,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,1,4,6,5,2,7] => [3,7,2,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[3,1,4,6,5,7,2] => [3,1,2,4,6,5,7] => {{1,2,3},{4},{5,6},{7}} => {{1,2,4,5},{3},{6},{7}} => 2
[3,1,4,6,7,2,5] => [3,7,2,4,1,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,6,7,5,2] => [3,1,2,4,7,5,6] => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 1
[3,1,4,7,2,5,6] => [3,6,2,4,7,1,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[3,1,4,7,2,6,5] => [3,6,2,4,1,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,7,5,2,6] => [3,7,2,4,6,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,1,4,7,5,6,2] => [3,1,2,4,6,7,5] => {{1,2,3},{4},{5,6,7}} => {{1,4,5},{2},{3},{6},{7}} => 1
[3,1,4,7,6,2,5] => [3,7,2,4,1,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,1,4,7,6,5,2] => [3,1,2,4,7,6,5] => {{1,2,3},{4},{5,7},{6}} => {{1,4,5},{2,3},{6},{7}} => 2
[3,1,5,2,4,6,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,2,4,7,6] => [3,5,2,6,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,5,2,6,4,7] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,5,2,6,7,4] => [3,5,2,1,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,1,5,2,7,4,6] => [3,5,2,7,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,2,7,6,4] => [3,5,2,1,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,1,5,4,2,6,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,1,5,4,2,7,6] => [3,6,2,5,4,1,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[3,1,5,4,6,2,7] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[3,1,5,4,6,7,2] => [3,1,2,5,4,6,7] => {{1,2,3},{4,5},{6},{7}} => {{1,2,3,5},{4},{6},{7}} => 2
[3,1,5,4,7,2,6] => [3,7,2,5,4,1,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,1,5,4,7,6,2] => [3,1,2,5,4,7,6] => {{1,2,3},{4,5},{6,7}} => {{1,3,5},{2},{4},{6},{7}} => 0
[3,1,5,6,2,4,7] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,6,2,7,4] => [3,6,2,1,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,5,6,4,2,7] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[3,1,5,6,4,7,2] => [3,1,2,6,4,5,7] => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 1
[3,1,5,6,7,2,4] => [3,7,2,1,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,6,7,4,2] => [3,1,2,7,4,5,6] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,5,7,2,4,6] => [3,6,2,7,4,1,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[3,1,5,7,2,6,4] => [3,6,2,1,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,7,4,2,6] => [3,7,2,6,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,5,7,4,6,2] => [3,1,2,6,4,7,5] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,5,7,6,2,4] => [3,7,2,1,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,5,7,6,4,2] => [3,1,2,7,4,6,5] => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 1
[3,1,6,2,4,5,7] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,1,6,2,4,7,5] => [3,5,2,6,1,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[3,1,6,2,5,4,7] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,2,5,7,4] => [3,5,2,1,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,6,2,7,4,5] => [3,5,2,7,1,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[3,1,6,2,7,5,4] => [3,5,2,1,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,4,2,5,7] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,4,2,7,5] => [3,6,2,5,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,1,6,4,5,2,7] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[3,1,6,4,5,7,2] => [3,1,2,5,6,4,7] => {{1,2,3},{4,5,6},{7}} => {{1,2,5},{3},{4},{6},{7}} => 1
[3,1,6,4,7,2,5] => [3,7,2,5,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,4,7,5,2] => [3,1,2,5,7,4,6] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,6,5,2,4,7] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,6,5,2,7,4] => [3,6,2,1,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,1,6,5,4,2,7] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[3,1,6,5,4,7,2] => [3,1,2,6,5,4,7] => {{1,2,3},{4,6},{5},{7}} => {{1,2,5},{3,4},{6},{7}} => 2
[3,1,6,5,7,2,4] => [3,7,2,1,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,6,5,7,4,2] => [3,1,2,7,5,4,6] => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 1
[3,1,6,7,2,4,5] => [3,6,2,7,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,7,2,5,4] => [3,6,2,1,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,1,6,7,4,2,5] => [3,7,2,6,1,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,1,6,7,4,5,2] => [3,1,2,6,7,4,5] => {{1,2,3},{4,6},{5,7}} => {{1,3,5},{2,4},{6},{7}} => 0
[3,1,6,7,5,2,4] => [3,7,2,1,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,6,7,5,4,2] => [3,1,2,7,6,4,5] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,7,2,4,5,6] => [3,5,2,6,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,2,4,6,5] => [3,5,2,6,1,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[3,1,7,2,5,4,6] => [3,5,2,7,6,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,1,7,2,5,6,4] => [3,5,2,1,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,2,6,4,5] => [3,5,2,7,1,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[3,1,7,2,6,5,4] => [3,5,2,1,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,7,4,2,5,6] => [3,6,2,5,7,1,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[3,1,7,4,2,6,5] => [3,6,2,5,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,4,5,2,6] => [3,7,2,5,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,4,5,6,2] => [3,1,2,5,6,7,4] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,7,4,6,2,5] => [3,7,2,5,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,1,7,4,6,5,2] => [3,1,2,5,7,6,4] => {{1,2,3},{4,5,7},{6}} => {{1,5},{2,3},{4},{6},{7}} => 1
[3,1,7,5,2,4,6] => [3,6,2,7,5,1,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[3,1,7,5,2,6,4] => [3,6,2,1,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,7,5,4,2,6] => [3,7,2,6,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,1,7,5,4,6,2] => [3,1,2,6,5,7,4] => {{1,2,3},{4,6,7},{5}} => {{1,5},{2},{3,4},{6},{7}} => 1
[3,1,7,5,6,2,4] => [3,7,2,1,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,1,7,5,6,4,2] => [3,1,2,7,5,6,4] => {{1,2,3},{4,7},{5},{6}} => {{1,5},{2,3,4},{6},{7}} => 2
[3,1,7,6,2,4,5] => [3,6,2,7,1,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,1,7,6,2,5,4] => [3,6,2,1,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,6,4,2,5] => [3,7,2,6,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,1,7,6,4,5,2] => [3,1,2,6,7,5,4] => {{1,2,3},{4,5,6,7}} => {{1,5},{2},{3},{4},{6},{7}} => 0
[3,1,7,6,5,2,4] => [3,7,2,1,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,1,7,6,5,4,2] => [3,1,2,7,6,5,4] => {{1,2,3},{4,7},{5,6}} => {{1,5},{2,4},{3},{6},{7}} => 0
[3,2,1,4,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,4,5,7,6] => [4,3,2,5,6,1,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,1,4,6,5,7] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,1,4,6,7,5] => [4,3,2,5,1,6,7] => {{1,4,5},{2,3},{6},{7}} => {{1,2,3},{4},{5,7},{6}} => 2
[3,2,1,4,7,5,6] => [4,3,2,5,7,1,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,4,7,6,5] => [4,3,2,5,1,7,6] => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 0
[3,2,1,5,4,6,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,1,5,4,7,6] => [4,3,2,6,5,1,7] => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 2
[3,2,1,5,6,4,7] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 2
[3,2,1,5,6,7,4] => [4,3,2,1,5,6,7] => {{1,4},{2,3},{5},{6},{7}} => {{1,2,3,4},{5,7},{6}} => 3
[3,2,1,5,7,4,6] => [4,3,2,7,5,1,6] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,1,5,7,6,4] => [4,3,2,1,5,7,6] => {{1,4},{2,3},{5},{6,7}} => {{1,3,4},{2},{5,7},{6}} => 1
[3,2,1,6,4,5,7] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,6,4,7,5] => [4,3,2,6,1,5,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,1,6,5,4,7] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 0
[3,2,1,6,5,7,4] => [4,3,2,1,6,5,7] => {{1,4},{2,3},{5,6},{7}} => {{1,2,4},{3},{5,7},{6}} => 1
[3,2,1,6,7,4,5] => [4,3,2,7,1,5,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,6,7,5,4] => [4,3,2,1,7,5,6] => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 0
[3,2,1,7,4,5,6] => [4,3,2,6,7,1,5] => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 0
[3,2,1,7,4,6,5] => [4,3,2,6,1,7,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,7,5,4,6] => [4,3,2,7,6,1,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,1,7,5,6,4] => [4,3,2,1,6,7,5] => {{1,4},{2,3},{5,6,7}} => {{1,4},{2},{3},{5,7},{6}} => 0
[3,2,1,7,6,4,5] => [4,3,2,7,1,6,5] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,1,7,6,5,4] => [4,3,2,1,7,6,5] => {{1,4},{2,3},{5,7},{6}} => {{1,4},{2,3},{5,7},{6}} => 1
[3,2,4,1,5,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,1,5,7,6] => [5,3,2,4,6,1,7] => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 2
[3,2,4,1,6,5,7] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 2
[3,2,4,1,6,7,5] => [5,3,2,4,1,6,7] => {{1,5},{2,3},{4},{6},{7}} => {{1,2,3},{4,5,7},{6}} => 3
[3,2,4,1,7,5,6] => [5,3,2,4,7,1,6] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,1,7,6,5] => [5,3,2,4,1,7,6] => {{1,5},{2,3},{4},{6,7}} => {{1,3},{2},{4,5,7},{6}} => 1
[3,2,4,5,1,6,7] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 2
[3,2,4,5,1,7,6] => [6,3,2,4,5,1,7] => {{1,6},{2,3},{4},{5},{7}} => {{1,2},{3,4,5,7},{6}} => 3
[3,2,4,5,6,1,7] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}} => {{1},{2,3,4,5,7},{6}} => 3
[3,2,4,5,6,7,1] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1,2,3,4,5,7},{6}} => 5
[3,2,4,5,7,1,6] => [7,3,2,4,5,1,6] => {{1,6,7},{2,3},{4},{5}} => {{1},{2},{3,4,5,7},{6}} => 2
[3,2,4,5,7,6,1] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1,3,4,5,7},{2},{6}} => 3
[3,2,4,6,1,5,7] => [6,3,2,4,7,5,1] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,6,1,7,5] => [6,3,2,4,1,5,7] => {{1,5,6},{2,3},{4},{7}} => {{1,2},{3},{4,5,7},{6}} => 2
[3,2,4,6,5,1,7] => [7,3,2,4,6,5,1] => {{1,7},{2,3},{4},{5,6}} => {{1},{2,4,5,7},{3},{6}} => 1
[3,2,4,6,5,7,1] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1,2,4,5,7},{3},{6}} => 3
[3,2,4,6,7,1,5] => [7,3,2,4,1,5,6] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,6,7,5,1] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 2
[3,2,4,7,1,5,6] => [6,3,2,4,7,1,5] => {{1,6},{2,3},{4},{5,7}} => {{1,3},{2,4,5,7},{6}} => 1
[3,2,4,7,1,6,5] => [6,3,2,4,1,7,5] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,7,5,1,6] => [7,3,2,4,6,1,5] => {{1,5,6,7},{2,3},{4}} => {{1},{2},{3},{4,5,7},{6}} => 1
[3,2,4,7,5,6,1] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1,4,5,7},{2},{3},{6}} => 2
[3,2,4,7,6,1,5] => [7,3,2,4,1,6,5] => {{1,5,7},{2,3},{4},{6}} => {{1},{2,3},{4,5,7},{6}} => 2
[3,2,4,7,6,5,1] => [1,3,2,4,7,6,5] => {{1},{2,3},{4},{5,7},{6}} => {{1,4,5,7},{2,3},{6}} => 3
[3,2,5,1,4,6,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,1,4,7,6] => [5,3,2,6,4,1,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,5,1,6,4,7] => [5,3,2,7,4,6,1] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,5,1,6,7,4] => [5,3,2,1,4,6,7] => {{1,4,5},{2,3},{6},{7}} => {{1,2,3},{4},{5,7},{6}} => 2
[3,2,5,1,7,4,6] => [5,3,2,7,4,1,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,1,7,6,4] => [5,3,2,1,4,7,6] => {{1,4,5},{2,3},{6,7}} => {{1,3},{2},{4},{5,7},{6}} => 0
[3,2,5,4,1,6,7] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 0
[3,2,5,4,1,7,6] => [6,3,2,5,4,1,7] => {{1,6},{2,3},{4,5},{7}} => {{1,2},{3,5,7},{4},{6}} => 1
[3,2,5,4,6,1,7] => [7,3,2,5,4,6,1] => {{1,7},{2,3},{4,5},{6}} => {{1},{2,3,5,7},{4},{6}} => 1
[3,2,5,4,6,7,1] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1,2,3,5,7},{4},{6}} => 3
[3,2,5,4,7,1,6] => [7,3,2,5,4,1,6] => {{1,6,7},{2,3},{4,5}} => {{1},{2},{3,5,7},{4},{6}} => 0
[3,2,5,4,7,6,1] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1,3,5,7},{2},{4},{6}} => 1
[3,2,5,6,1,4,7] => [6,3,2,7,4,5,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,6,1,7,4] => [6,3,2,1,4,5,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,5,6,4,1,7] => [7,3,2,6,4,5,1] => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 0
[3,2,5,6,4,7,1] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 2
[3,2,5,6,7,1,4] => [7,3,2,1,4,5,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,6,7,4,1] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,5,7,1,4,6] => [6,3,2,7,4,1,5] => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 0
[3,2,5,7,1,6,4] => [6,3,2,1,4,7,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,7,4,1,6] => [7,3,2,6,4,1,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,5,7,4,6,1] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,5,7,6,1,4] => [7,3,2,1,4,6,5] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,5,7,6,4,1] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 2
[3,2,6,1,4,5,7] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 0
[3,2,6,1,4,7,5] => [5,3,2,6,1,4,7] => {{1,5},{2,3},{4,6},{7}} => {{1,2,4},{3,5,7},{6}} => 1
[3,2,6,1,5,4,7] => [5,3,2,7,6,4,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,1,5,7,4] => [5,3,2,1,6,4,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,6,1,7,4,5] => [5,3,2,7,1,4,6] => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 0
[3,2,6,1,7,5,4] => [5,3,2,1,7,4,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,4,1,5,7] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,4,1,7,5] => [6,3,2,5,1,4,7] => {{1,4,5,6},{2,3},{7}} => {{1,2},{3},{4},{5,7},{6}} => 1
[3,2,6,4,5,1,7] => [7,3,2,5,6,4,1] => {{1,7},{2,3},{4,5,6}} => {{1},{2,5,7},{3},{4},{6}} => 0
[3,2,6,4,5,7,1] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1,2,5,7},{3},{4},{6}} => 2
[3,2,6,4,7,1,5] => [7,3,2,5,1,4,6] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,4,7,5,1] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,6,5,1,4,7] => [6,3,2,7,5,4,1] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,6,5,1,7,4] => [6,3,2,1,5,4,7] => {{1,4,6},{2,3},{5},{7}} => {{1,2},{3,4},{5,7},{6}} => 2
[3,2,6,5,4,1,7] => [7,3,2,6,5,4,1] => {{1,7},{2,3},{4,6},{5}} => {{1},{2,5,7},{3,4},{6}} => 1
[3,2,6,5,4,7,1] => [1,3,2,6,5,4,7] => {{1},{2,3},{4,6},{5},{7}} => {{1,2,5,7},{3,4},{6}} => 3
[3,2,6,5,7,1,4] => [7,3,2,1,5,4,6] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,6,5,7,4,1] => [1,3,2,7,5,4,6] => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 2
[3,2,6,7,1,4,5] => [6,3,2,7,1,4,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,7,1,5,4] => [6,3,2,1,7,4,5] => {{1,4,6},{2,3},{5,7}} => {{1,3},{2,4},{5,7},{6}} => 0
[3,2,6,7,4,1,5] => [7,3,2,6,1,4,5] => {{1,5,7},{2,3},{4,6}} => {{1},{2,4},{3,5,7},{6}} => 0
[3,2,6,7,4,5,1] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1,3,5,7},{2,4},{6}} => 1
[3,2,6,7,5,1,4] => [7,3,2,1,6,4,5] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,6,7,5,4,1] => [1,3,2,7,6,4,5] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,7,1,4,5,6] => [5,3,2,6,7,1,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,1,4,6,5] => [5,3,2,6,1,7,4] => {{1,5},{2,3},{4,6,7}} => {{1,4},{2},{3,5,7},{6}} => 0
[3,2,7,1,5,4,6] => [5,3,2,7,6,1,4] => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 0
[3,2,7,1,5,6,4] => [5,3,2,1,6,7,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,1,6,4,5] => [5,3,2,7,1,6,4] => {{1,5},{2,3},{4,7},{6}} => {{1,4},{2,3,5,7},{6}} => 1
[3,2,7,1,6,5,4] => [5,3,2,1,7,6,4] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,7,4,1,5,6] => [6,3,2,5,7,1,4] => {{1,6},{2,3},{4,5,7}} => {{1,3},{2,5,7},{4},{6}} => 0
[3,2,7,4,1,6,5] => [6,3,2,5,1,7,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,4,5,1,6] => [7,3,2,5,6,1,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,4,5,6,1] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,7,4,6,1,5] => [7,3,2,5,1,6,4] => {{1,4,5,7},{2,3},{6}} => {{1},{2,3},{4},{5,7},{6}} => 1
[3,2,7,4,6,5,1] => [1,3,2,5,7,6,4] => {{1},{2,3},{4,5,7},{6}} => {{1,5,7},{2,3},{4},{6}} => 2
[3,2,7,5,1,4,6] => [6,3,2,7,5,1,4] => {{1,6},{2,3},{4,7},{5}} => {{1,3,4},{2,5,7},{6}} => 1
[3,2,7,5,1,6,4] => [6,3,2,1,5,7,4] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,7,5,4,1,6] => [7,3,2,6,5,1,4] => {{1,4,6,7},{2,3},{5}} => {{1},{2},{3,4},{5,7},{6}} => 1
[3,2,7,5,4,6,1] => [1,3,2,6,5,7,4] => {{1},{2,3},{4,6,7},{5}} => {{1,5,7},{2},{3,4},{6}} => 2
[3,2,7,5,6,1,4] => [7,3,2,1,5,6,4] => {{1,4,7},{2,3},{5},{6}} => {{1},{2,3,4},{5,7},{6}} => 2
[3,2,7,5,6,4,1] => [1,3,2,7,5,6,4] => {{1},{2,3},{4,7},{5},{6}} => {{1,5,7},{2,3,4},{6}} => 3
[3,2,7,6,1,4,5] => [6,3,2,7,1,5,4] => {{1,5,6},{2,3},{4,7}} => {{1,4},{2,5,7},{3},{6}} => 0
[3,2,7,6,1,5,4] => [6,3,2,1,7,5,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,6,4,1,5] => [7,3,2,6,1,5,4] => {{1,4,5,6,7},{2,3}} => {{1},{2},{3},{4},{5,7},{6}} => 0
[3,2,7,6,4,5,1] => [1,3,2,6,7,5,4] => {{1},{2,3},{4,5,6,7}} => {{1,5,7},{2},{3},{4},{6}} => 1
[3,2,7,6,5,1,4] => [7,3,2,1,6,5,4] => {{1,4,7},{2,3},{5,6}} => {{1},{2,4},{3},{5,7},{6}} => 0
[3,2,7,6,5,4,1] => [1,3,2,7,6,5,4] => {{1},{2,3},{4,7},{5,6}} => {{1,5,7},{2,4},{3},{6}} => 1
[3,4,1,2,5,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,2,5,7,6] => [4,5,2,3,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,1,2,6,5,7] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,1,2,6,7,5] => [4,5,2,3,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,4,1,2,7,5,6] => [4,5,2,3,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,2,7,6,5] => [4,5,2,3,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,4,1,5,2,6,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,1,5,2,7,6] => [4,6,2,3,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,4,1,5,6,2,7] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,4,1,5,6,7,2] => [4,1,2,3,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[3,4,1,5,7,2,6] => [4,7,2,3,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,1,5,7,6,2] => [4,1,2,3,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[3,4,1,6,2,5,7] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,6,2,7,5] => [4,6,2,3,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,1,6,5,2,7] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,4,1,6,5,7,2] => [4,1,2,3,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[3,4,1,6,7,2,5] => [4,7,2,3,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,6,7,5,2] => [4,1,2,3,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[3,4,1,7,2,5,6] => [4,6,2,3,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,4,1,7,2,6,5] => [4,6,2,3,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,7,5,2,6] => [4,7,2,3,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,1,7,5,6,2] => [4,1,2,3,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[3,4,1,7,6,2,5] => [4,7,2,3,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,1,7,6,5,2] => [4,1,2,3,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[3,4,2,1,5,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,1,5,7,6] => [5,4,2,3,6,1,7] => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 1
[3,4,2,1,6,5,7] => [5,4,2,3,7,6,1] => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 1
[3,4,2,1,6,7,5] => [5,4,2,3,1,6,7] => {{1,5},{2,3,4},{6},{7}} => {{1,2,3},{4,7},{5},{6}} => 2
[3,4,2,1,7,5,6] => [5,4,2,3,7,1,6] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,1,7,6,5] => [5,4,2,3,1,7,6] => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 0
[3,4,2,5,1,6,7] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 1
[3,4,2,5,1,7,6] => [6,4,2,3,5,1,7] => {{1,6},{2,3,4},{5},{7}} => {{1,2},{3,4,7},{5},{6}} => 2
[3,4,2,5,6,1,7] => [7,4,2,3,5,6,1] => {{1,7},{2,3,4},{5},{6}} => {{1},{2,3,4,7},{5},{6}} => 2
[3,4,2,5,6,7,1] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1,2,3,4,7},{5},{6}} => 4
[3,4,2,5,7,1,6] => [7,4,2,3,5,1,6] => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 1
[3,4,2,5,7,6,1] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 2
[3,4,2,6,1,5,7] => [6,4,2,3,7,5,1] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,6,1,7,5] => [6,4,2,3,1,5,7] => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 1
[3,4,2,6,5,1,7] => [7,4,2,3,6,5,1] => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 0
[3,4,2,6,5,7,1] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 2
[3,4,2,6,7,1,5] => [7,4,2,3,1,5,6] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,6,7,5,1] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 1
[3,4,2,7,1,5,6] => [6,4,2,3,7,1,5] => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 0
[3,4,2,7,1,6,5] => [6,4,2,3,1,7,5] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,7,5,1,6] => [7,4,2,3,6,1,5] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[3,4,2,7,5,6,1] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 1
[3,4,2,7,6,1,5] => [7,4,2,3,1,6,5] => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 1
[3,4,2,7,6,5,1] => [1,4,2,3,7,6,5] => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 2
[3,4,5,1,2,6,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,1,2,7,6] => [5,6,2,3,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,5,1,6,2,7] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,5,1,6,7,2] => [5,1,2,3,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,4,5,1,7,2,6] => [5,7,2,3,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,1,7,6,2] => [5,1,2,3,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,4,5,2,1,6,7] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[3,4,5,2,1,7,6] => [6,5,2,3,4,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[3,4,5,2,6,1,7] => [7,5,2,3,4,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[3,4,5,2,6,7,1] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[3,4,5,2,7,1,6] => [7,5,2,3,4,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[3,4,5,2,7,6,1] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[3,4,5,6,1,2,7] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,6,1,7,2] => [6,1,2,3,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,5,6,2,1,7] => [7,6,2,3,4,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,4,5,6,2,7,1] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,4,5,6,7,1,2] => [7,1,2,3,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,6,7,2,1] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,5,7,1,2,6] => [6,7,2,3,4,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,4,5,7,1,6,2] => [6,1,2,3,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,7,2,1,6] => [7,6,2,3,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,5,7,2,6,1] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,5,7,6,1,2] => [7,1,2,3,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,5,7,6,2,1] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,4,6,1,2,5,7] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[3,4,6,1,2,7,5] => [5,6,2,3,1,4,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[3,4,6,1,5,2,7] => [5,7,2,3,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,1,5,7,2] => [5,1,2,3,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,6,1,7,2,5] => [5,7,2,3,1,4,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,4,6,1,7,5,2] => [5,1,2,3,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,2,1,5,7] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,2,1,7,5] => [6,5,2,3,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,4,6,2,5,1,7] => [7,5,2,3,6,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,4,6,2,5,7,1] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,4,6,2,7,1,5] => [7,5,2,3,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,2,7,5,1] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,6,5,1,2,7] => [6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,6,5,1,7,2] => [6,1,2,3,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,4,6,5,2,1,7] => [7,6,2,3,5,4,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[3,4,6,5,2,7,1] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[3,4,6,5,7,1,2] => [7,1,2,3,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,6,5,7,2,1] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,4,6,7,1,2,5] => [6,7,2,3,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,7,1,5,2] => [6,1,2,3,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,4,6,7,2,1,5] => [7,6,2,3,1,4,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[3,4,6,7,2,5,1] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[3,4,6,7,5,1,2] => [7,1,2,3,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,6,7,5,2,1] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,7,1,2,5,6] => [5,6,2,3,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,1,2,6,5] => [5,6,2,3,1,7,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,4,7,1,5,2,6] => [5,7,2,3,6,1,4] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[3,4,7,1,5,6,2] => [5,1,2,3,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,1,6,2,5] => [5,7,2,3,1,6,4] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[3,4,7,1,6,5,2] => [5,1,2,3,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,7,2,1,5,6] => [6,5,2,3,7,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,4,7,2,1,6,5] => [6,5,2,3,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,2,5,1,6] => [7,5,2,3,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,2,5,6,1] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,7,2,6,1,5] => [7,5,2,3,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,4,7,2,6,5,1] => [1,5,2,3,7,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,4,7,5,1,2,6] => [6,7,2,3,5,1,4] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[3,4,7,5,1,6,2] => [6,1,2,3,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,7,5,2,1,6] => [7,6,2,3,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,4,7,5,2,6,1] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,4,7,5,6,1,2] => [7,1,2,3,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,4,7,5,6,2,1] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[3,4,7,6,1,2,5] => [6,7,2,3,1,5,4] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[3,4,7,6,1,5,2] => [6,1,2,3,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,6,2,1,5] => [7,6,2,3,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,4,7,6,2,5,1] => [1,6,2,3,7,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,4,7,6,5,1,2] => [7,1,2,3,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,4,7,6,5,2,1] => [1,7,2,3,6,5,4] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[3,5,1,2,4,6,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,1,2,4,7,6] => [4,5,2,6,3,1,7] => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 1
[3,5,1,2,6,4,7] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 1
[3,5,1,2,6,7,4] => [4,5,2,1,3,6,7] => {{1,4},{2,3,5},{6},{7}} => {{1,2,3,5},{4,7},{6}} => 2
[3,5,1,2,7,4,6] => [4,5,2,7,3,1,6] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,1,2,7,6,4] => [4,5,2,1,3,7,6] => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 0
[3,5,1,4,2,6,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,4,2,7,6] => [4,6,2,5,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,1,4,6,2,7] => [4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,1,4,6,7,2] => [4,1,2,5,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,5,1,4,7,2,6] => [4,7,2,5,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,4,7,6,2] => [4,1,2,5,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,5,1,6,2,4,7] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[3,5,1,6,2,7,4] => [4,6,2,1,3,5,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[3,5,1,6,4,2,7] => [4,7,2,6,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,6,4,7,2] => [4,1,2,6,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,1,6,7,2,4] => [4,7,2,1,3,5,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,5,1,6,7,4,2] => [4,1,2,7,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,7,2,4,6] => [4,6,2,7,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,7,2,6,4] => [4,6,2,1,3,7,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,5,1,7,4,2,6] => [4,7,2,6,3,1,5] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[3,5,1,7,4,6,2] => [4,1,2,6,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,1,7,6,2,4] => [4,7,2,1,3,6,5] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[3,5,1,7,6,4,2] => [4,1,2,7,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,2,1,4,6,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,1,4,7,6] => [5,4,2,6,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,2,1,6,4,7] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,2,1,6,7,4] => [5,4,2,1,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[3,5,2,1,7,4,6] => [5,4,2,7,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,1,7,6,4] => [5,4,2,1,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[3,5,2,4,1,6,7] => [6,4,2,5,3,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[3,5,2,4,1,7,6] => [6,4,2,5,3,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[3,5,2,4,6,1,7] => [7,4,2,5,3,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[3,5,2,4,6,7,1] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[3,5,2,4,7,1,6] => [7,4,2,5,3,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[3,5,2,4,7,6,1] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[3,5,2,6,1,4,7] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,6,1,7,4] => [6,4,2,1,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,2,6,4,1,7] => [7,4,2,6,3,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,5,2,6,4,7,1] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,5,2,6,7,1,4] => [7,4,2,1,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,6,7,4,1] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,5,2,7,1,4,6] => [6,4,2,7,3,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,5,2,7,1,6,4] => [6,4,2,1,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,7,4,1,6] => [7,4,2,6,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,2,7,4,6,1] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,5,2,7,6,1,4] => [7,4,2,1,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,2,7,6,4,1] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,5,4,1,2,6,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,1,2,7,6] => [5,6,2,4,3,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,5,4,1,6,2,7] => [5,7,2,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,5,4,1,6,7,2] => [5,1,2,4,3,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[3,5,4,1,7,2,6] => [5,7,2,4,3,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,1,7,6,2] => [5,1,2,4,3,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[3,5,4,2,1,6,7] => [6,5,2,4,3,7,1] => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 1
[3,5,4,2,1,7,6] => [6,5,2,4,3,1,7] => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 2
[3,5,4,2,6,1,7] => [7,5,2,4,3,6,1] => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 2
[3,5,4,2,6,7,1] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 4
[3,5,4,2,7,1,6] => [7,5,2,4,3,1,6] => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 1
[3,5,4,2,7,6,1] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 2
[3,5,4,6,1,2,7] => [6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,6,1,7,2] => [6,1,2,4,3,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,5,4,6,2,1,7] => [7,6,2,4,3,5,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[3,5,4,6,2,7,1] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[3,5,4,6,7,1,2] => [7,1,2,4,3,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,6,7,2,1] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,4,7,1,2,6] => [6,7,2,4,3,1,5] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[3,5,4,7,1,6,2] => [6,1,2,4,3,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,7,2,1,6] => [7,6,2,4,3,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,5,4,7,2,6,1] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,5,4,7,6,1,2] => [7,1,2,4,3,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,5,4,7,6,2,1] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,5,6,1,2,4,7] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,1,2,7,4] => [5,6,2,1,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,6,1,4,2,7] => [5,7,2,6,3,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,5,6,1,4,7,2] => [5,1,2,6,3,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[3,5,6,1,7,2,4] => [5,7,2,1,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,1,7,4,2] => [5,1,2,7,3,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[3,5,6,2,1,4,7] => [6,5,2,7,3,4,1] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,6,2,1,7,4] => [6,5,2,1,3,4,7] => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 1
[3,5,6,2,4,1,7] => [7,5,2,6,3,4,1] => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 0
[3,5,6,2,4,7,1] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 2
[3,5,6,2,7,1,4] => [7,5,2,1,3,4,6] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,6,2,7,4,1] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 1
[3,5,6,4,1,2,7] => [6,7,2,5,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,4,1,7,2] => [6,1,2,5,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,5,6,4,2,1,7] => [7,6,2,5,3,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,5,6,4,2,7,1] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,5,6,4,7,1,2] => [7,1,2,5,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,4,7,2,1] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,5,6,7,1,2,4] => [6,7,2,1,3,4,5] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[3,5,6,7,1,4,2] => [6,1,2,7,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,7,2,1,4] => [7,6,2,1,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,6,7,2,4,1] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,5,6,7,4,1,2] => [7,1,2,6,3,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,5,6,7,4,2,1] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[3,5,7,1,2,4,6] => [5,6,2,7,3,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,5,7,1,2,6,4] => [5,6,2,1,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,1,4,2,6] => [5,7,2,6,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,1,4,6,2] => [5,1,2,6,3,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[3,5,7,1,6,2,4] => [5,7,2,1,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,7,1,6,4,2] => [5,1,2,7,3,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[3,5,7,2,1,4,6] => [6,5,2,7,3,1,4] => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 0
[3,5,7,2,1,6,4] => [6,5,2,1,3,7,4] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,7,2,4,1,6] => [7,5,2,6,3,1,4] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[3,5,7,2,4,6,1] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 1
[3,5,7,2,6,1,4] => [7,5,2,1,3,6,4] => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 1
[3,5,7,2,6,4,1] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 2
[3,5,7,4,1,2,6] => [6,7,2,5,3,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,5,7,4,1,6,2] => [6,1,2,5,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,4,2,1,6] => [7,6,2,5,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,4,2,6,1] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,5,7,4,6,1,2] => [7,1,2,5,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,5,7,4,6,2,1] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,5,7,6,1,2,4] => [6,7,2,1,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,6,1,4,2] => [6,1,2,7,3,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,5,7,6,2,1,4] => [7,6,2,1,3,5,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[3,5,7,6,2,4,1] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[3,5,7,6,4,1,2] => [7,1,2,6,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,5,7,6,4,2,1] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,1,2,4,5,7] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,1,2,4,7,5] => [4,5,2,6,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,1,2,5,4,7] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[3,6,1,2,5,7,4] => [4,5,2,1,6,3,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[3,6,1,2,7,4,5] => [4,5,2,7,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,1,2,7,5,4] => [4,5,2,1,7,3,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,6,1,4,2,5,7] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,1,4,2,7,5] => [4,6,2,5,1,3,7] => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 1
[3,6,1,4,5,2,7] => [4,7,2,5,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,1,4,5,7,2] => [4,1,2,5,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,1,4,7,2,5] => [4,7,2,5,1,3,6] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[3,6,1,4,7,5,2] => [4,1,2,5,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,1,5,2,4,7] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 1
[3,6,1,5,2,7,4] => [4,6,2,1,5,3,7] => {{1,4},{2,3,6},{5},{7}} => {{1,2,5},{3,4,7},{6}} => 2
[3,6,1,5,4,2,7] => [4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,1,5,4,7,2] => [4,1,2,6,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,6,1,5,7,2,4] => [4,7,2,1,5,3,6] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[3,6,1,5,7,4,2] => [4,1,2,7,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,1,7,2,4,5] => [4,6,2,7,1,3,5] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,1,7,2,5,4] => [4,6,2,1,7,3,5] => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 0
[3,6,1,7,4,2,5] => [4,7,2,6,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,1,7,4,5,2] => [4,1,2,6,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,6,1,7,5,2,4] => [4,7,2,1,6,3,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,6,1,7,5,4,2] => [4,1,2,7,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,1,4,5,7] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[3,6,2,1,4,7,5] => [5,4,2,6,1,3,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[3,6,2,1,5,4,7] => [5,4,2,7,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,1,5,7,4] => [5,4,2,1,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,2,1,7,4,5] => [5,4,2,7,1,3,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,6,2,1,7,5,4] => [5,4,2,1,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,4,1,5,7] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,4,1,7,5] => [6,4,2,5,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,2,4,5,1,7] => [7,4,2,5,6,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,6,2,4,5,7,1] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,6,2,4,7,1,5] => [7,4,2,5,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,4,7,5,1] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,2,5,1,4,7] => [6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,2,5,1,7,4] => [6,4,2,1,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[3,6,2,5,4,1,7] => [7,4,2,6,5,3,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[3,6,2,5,4,7,1] => [1,4,2,6,5,3,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[3,6,2,5,7,1,4] => [7,4,2,1,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,2,5,7,4,1] => [1,4,2,7,5,3,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,6,2,7,1,4,5] => [6,4,2,7,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,7,1,5,4] => [6,4,2,1,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[3,6,2,7,4,1,5] => [7,4,2,6,1,3,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[3,6,2,7,4,5,1] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[3,6,2,7,5,1,4] => [7,4,2,1,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,2,7,5,4,1] => [1,4,2,7,6,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,4,1,2,5,7] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 1
[3,6,4,1,2,7,5] => [5,6,2,4,1,3,7] => {{1,5},{2,3,6},{4},{7}} => {{1,2,4,5},{3,7},{6}} => 2
[3,6,4,1,5,2,7] => [5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,1,5,7,2] => [5,1,2,4,6,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,6,4,1,7,2,5] => [5,7,2,4,1,3,6] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[3,6,4,1,7,5,2] => [5,1,2,4,7,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,2,1,5,7] => [6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,2,1,7,5] => [6,5,2,4,1,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[3,6,4,2,5,1,7] => [7,5,2,4,6,3,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[3,6,4,2,5,7,1] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[3,6,4,2,7,1,5] => [7,5,2,4,1,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,2,7,5,1] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,6,4,5,1,2,7] => [6,7,2,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,6,4,5,1,7,2] => [6,1,2,4,5,3,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[3,6,4,5,2,1,7] => [7,6,2,4,5,3,1] => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 2
[3,6,4,5,2,7,1] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 4
[3,6,4,5,7,1,2] => [7,1,2,4,5,3,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,6,4,5,7,2,1] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[3,6,4,7,1,2,5] => [6,7,2,4,1,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,7,1,5,2] => [6,1,2,4,7,3,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[3,6,4,7,2,1,5] => [7,6,2,4,1,3,5] => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 1
[3,6,4,7,2,5,1] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 2
[3,6,4,7,5,1,2] => [7,1,2,4,6,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,6,4,7,5,2,1] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,6,5,1,2,4,7] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,5,1,2,7,4] => [5,6,2,1,4,3,7] => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 1
[3,6,5,1,4,2,7] => [5,7,2,6,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,1,4,7,2] => [5,1,2,6,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,5,1,7,2,4] => [5,7,2,1,4,3,6] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[3,6,5,1,7,4,2] => [5,1,2,7,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,2,1,4,7] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,2,1,7,4] => [6,5,2,1,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[3,6,5,2,4,1,7] => [7,5,2,6,4,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[3,6,5,2,4,7,1] => [1,5,2,6,4,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[3,6,5,2,7,1,4] => [7,5,2,1,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,2,7,4,1] => [1,5,2,7,4,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,5,4,1,2,7] => [6,7,2,5,4,3,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,6,5,4,1,7,2] => [6,1,2,5,4,3,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[3,6,5,4,2,1,7] => [7,6,2,5,4,3,1] => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 0
[3,6,5,4,2,7,1] => [1,6,2,5,4,3,7] => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 2
[3,6,5,4,7,1,2] => [7,1,2,5,4,3,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,6,5,4,7,2,1] => [1,7,2,5,4,3,6] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[3,6,5,7,1,2,4] => [6,7,2,1,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,7,1,4,2] => [6,1,2,7,4,3,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[3,6,5,7,2,1,4] => [7,6,2,1,4,3,5] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,5,7,2,4,1] => [1,6,2,7,4,3,5] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 1
[3,6,5,7,4,1,2] => [7,1,2,6,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,5,7,4,2,1] => [1,7,2,6,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,7,1,2,4,5] => [5,6,2,7,1,3,4] => {{1,5},{2,3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 0
[3,6,7,1,2,5,4] => [5,6,2,1,7,3,4] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,7,1,4,2,5] => [5,7,2,6,1,3,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,6,7,1,4,5,2] => [5,1,2,6,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,1,5,2,4] => [5,7,2,1,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,1,5,4,2] => [5,1,2,7,6,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,6,7,2,1,4,5] => [6,5,2,7,1,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[3,6,7,2,1,5,4] => [6,5,2,1,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,2,4,1,5] => [7,5,2,6,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,2,4,5,1] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,7,2,5,1,4] => [7,5,2,1,6,3,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[3,6,7,2,5,4,1] => [1,5,2,7,6,3,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[3,6,7,4,1,2,5] => [6,7,2,5,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,4,1,5,2] => [6,1,2,5,7,3,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[3,6,7,4,2,1,5] => [7,6,2,5,1,3,4] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[3,6,7,4,2,5,1] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 1
[3,6,7,4,5,1,2] => [7,1,2,5,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,6,7,4,5,2,1] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,6,7,5,1,2,4] => [6,7,2,1,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,7,5,1,4,2] => [6,1,2,7,5,3,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[3,6,7,5,2,1,4] => [7,6,2,1,5,3,4] => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 1
[3,6,7,5,2,4,1] => [1,6,2,7,5,3,4] => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 2
[3,6,7,5,4,1,2] => [7,1,2,6,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,6,7,5,4,2,1] => [1,7,2,6,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,7,1,2,4,5,6] => [4,5,2,6,7,1,3] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[3,7,1,2,4,6,5] => [4,5,2,6,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,2,5,4,6] => [4,5,2,7,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,2,5,6,4] => [4,5,2,1,6,7,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,7,1,2,6,4,5] => [4,5,2,7,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,1,2,6,5,4] => [4,5,2,1,7,6,3] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[3,7,1,4,2,5,6] => [4,6,2,5,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,4,2,6,5] => [4,6,2,5,1,7,3] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[3,7,1,4,5,2,6] => [4,7,2,5,6,1,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,1,4,5,6,2] => [4,1,2,5,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,4,6,2,5] => [4,7,2,5,1,6,3] => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 1
[3,7,1,4,6,5,2] => [4,1,2,5,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,1,5,2,4,6] => [4,6,2,7,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,1,5,2,6,4] => [4,6,2,1,5,7,3] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[3,7,1,5,4,2,6] => [4,7,2,6,5,1,3] => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 1
[3,7,1,5,4,6,2] => [4,1,2,6,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,1,5,6,2,4] => [4,7,2,1,5,6,3] => {{1,4},{2,3,7},{5},{6}} => {{1,5},{2,3,4,7},{6}} => 2
[3,7,1,5,6,4,2] => [4,1,2,7,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,7,1,6,2,4,5] => [4,6,2,7,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,6,2,5,4] => [4,6,2,1,7,5,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[3,7,1,6,4,2,5] => [4,7,2,6,1,5,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,1,6,4,5,2] => [4,1,2,6,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,1,6,5,2,4] => [4,7,2,1,6,5,3] => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 0
[3,7,1,6,5,4,2] => [4,1,2,7,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,7,2,1,4,5,6] => [5,4,2,6,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,1,4,6,5] => [5,4,2,6,1,7,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,7,2,1,5,4,6] => [5,4,2,7,6,1,3] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[3,7,2,1,5,6,4] => [5,4,2,1,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,1,6,4,5] => [5,4,2,7,1,6,3] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[3,7,2,1,6,5,4] => [5,4,2,1,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,2,4,1,5,6] => [6,4,2,5,7,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,7,2,4,1,6,5] => [6,4,2,5,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,4,5,1,6] => [7,4,2,5,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,4,5,6,1] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,2,4,6,1,5] => [7,4,2,5,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,2,4,6,5,1] => [1,4,2,5,7,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,2,5,1,4,6] => [6,4,2,7,5,1,3] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[3,7,2,5,1,6,4] => [6,4,2,1,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,2,5,4,1,6] => [7,4,2,6,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,2,5,4,6,1] => [1,4,2,6,5,7,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,7,2,5,6,1,4] => [7,4,2,1,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[3,7,2,5,6,4,1] => [1,4,2,7,5,6,3] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[3,7,2,6,1,4,5] => [6,4,2,7,1,5,3] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[3,7,2,6,1,5,4] => [6,4,2,1,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,6,4,1,5] => [7,4,2,6,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,2,6,4,5,1] => [1,4,2,6,7,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,2,6,5,1,4] => [7,4,2,1,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[3,7,2,6,5,4,1] => [1,4,2,7,6,5,3] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[3,7,4,1,2,5,6] => [5,6,2,4,7,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,1,2,6,5] => [5,6,2,4,1,7,3] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[3,7,4,1,5,2,6] => [5,7,2,4,6,1,3] => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 1
[3,7,4,1,5,6,2] => [5,1,2,4,6,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,1,6,2,5] => [5,7,2,4,1,6,3] => {{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}} => 2
[3,7,4,1,6,5,2] => [5,1,2,4,7,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,7,4,2,1,5,6] => [6,5,2,4,7,1,3] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[3,7,4,2,1,6,5] => [6,5,2,4,1,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,2,5,1,6] => [7,5,2,4,6,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,2,5,6,1] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,7,4,2,6,1,5] => [7,5,2,4,1,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[3,7,4,2,6,5,1] => [1,5,2,4,7,6,3] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[3,7,4,5,1,2,6] => [6,7,2,4,5,1,3] => {{1,6},{2,3,7},{4},{5}} => {{1,3,4,5},{2,7},{6}} => 2
[3,7,4,5,1,6,2] => [6,1,2,4,5,7,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,7,4,5,2,1,6] => [7,6,2,4,5,1,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[3,7,4,5,2,6,1] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[3,7,4,5,6,1,2] => [7,1,2,4,5,6,3] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[3,7,4,5,6,2,1] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 4
[3,7,4,6,1,2,5] => [6,7,2,4,1,5,3] => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 1
[3,7,4,6,1,5,2] => [6,1,2,4,7,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,6,2,1,5] => [7,6,2,4,1,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[3,7,4,6,2,5,1] => [1,6,2,4,7,5,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[3,7,4,6,5,1,2] => [7,1,2,4,6,5,3] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[3,7,4,6,5,2,1] => [1,7,2,4,6,5,3] => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 2
[3,7,5,1,2,4,6] => [5,6,2,7,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,1,2,6,4] => [5,6,2,1,4,7,3] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[3,7,5,1,4,2,6] => [5,7,2,6,4,1,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,5,1,4,6,2] => [5,1,2,6,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,1,6,2,4] => [5,7,2,1,4,6,3] => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 1
[3,7,5,1,6,4,2] => [5,1,2,7,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,5,2,1,4,6] => [6,5,2,7,4,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[3,7,5,2,1,6,4] => [6,5,2,1,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,2,4,1,6] => [7,5,2,6,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,2,4,6,1] => [1,5,2,6,4,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,5,2,6,1,4] => [7,5,2,1,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[3,7,5,2,6,4,1] => [1,5,2,7,4,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[3,7,5,4,1,2,6] => [6,7,2,5,4,1,3] => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 0
[3,7,5,4,1,6,2] => [6,1,2,5,4,7,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,7,5,4,2,1,6] => [7,6,2,5,4,1,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[3,7,5,4,2,6,1] => [1,6,2,5,4,7,3] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[3,7,5,4,6,1,2] => [7,1,2,5,4,6,3] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[3,7,5,4,6,2,1] => [1,7,2,5,4,6,3] => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 2
[3,7,5,6,1,2,4] => [6,7,2,1,4,5,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,5,6,1,4,2] => [6,1,2,7,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,6,2,1,4] => [7,6,2,1,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,5,6,2,4,1] => [1,6,2,7,4,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,5,6,4,1,2] => [7,1,2,6,4,5,3] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[3,7,5,6,4,2,1] => [1,7,2,6,4,5,3] => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 1
[3,7,6,1,2,4,5] => [5,6,2,7,1,4,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[3,7,6,1,2,5,4] => [5,6,2,1,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,1,4,2,5] => [5,7,2,6,1,4,3] => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 0
[3,7,6,1,4,5,2] => [5,1,2,6,7,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,7,6,1,5,2,4] => [5,7,2,1,6,4,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,6,1,5,4,2] => [5,1,2,7,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,2,1,4,5] => [6,5,2,7,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,2,1,5,4] => [6,5,2,1,7,4,3] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[3,7,6,2,4,1,5] => [7,5,2,6,1,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[3,7,6,2,4,5,1] => [1,5,2,6,7,4,3] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[3,7,6,2,5,1,4] => [7,5,2,1,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,2,5,4,1] => [1,5,2,7,6,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,6,4,1,2,5] => [6,7,2,5,1,4,3] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[3,7,6,4,1,5,2] => [6,1,2,5,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,4,2,1,5] => [7,6,2,5,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[3,7,6,4,2,5,1] => [1,6,2,5,7,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[3,7,6,4,5,1,2] => [7,1,2,5,6,4,3] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[3,7,6,4,5,2,1] => [1,7,2,5,6,4,3] => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 1
[3,7,6,5,1,2,4] => [6,7,2,1,5,4,3] => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 1
[3,7,6,5,1,4,2] => [6,1,2,7,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,6,5,2,1,4] => [7,6,2,1,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[3,7,6,5,2,4,1] => [1,6,2,7,5,4,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[3,7,6,5,4,1,2] => [7,1,2,6,5,4,3] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[3,7,6,5,4,2,1] => [1,7,2,6,5,4,3] => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 2
[4,1,2,3,5,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,3,5,7,6] => [3,4,5,2,6,1,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,1,2,3,6,5,7] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,1,2,3,6,7,5] => [3,4,5,2,1,6,7] => {{1,3,5},{2,4},{6},{7}} => {{1,2,3},{4,6},{5,7}} => 2
[4,1,2,3,7,5,6] => [3,4,5,2,7,1,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,3,7,6,5] => [3,4,5,2,1,7,6] => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 0
[4,1,2,5,3,6,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,1,2,5,3,7,6] => [3,4,6,2,5,1,7] => {{1,3,6},{2,4},{5},{7}} => {{1,2},{3,4,6},{5,7}} => 2
[4,1,2,5,6,3,7] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => {{1},{2,3,4,6},{5,7}} => 2
[4,1,2,5,6,7,3] => [3,4,1,2,5,6,7] => {{1,3},{2,4},{5},{6},{7}} => {{1,2,3,4,6},{5,7}} => 3
[4,1,2,5,7,3,6] => [3,4,7,2,5,1,6] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,1,2,5,7,6,3] => [3,4,1,2,5,7,6] => {{1,3},{2,4},{5},{6,7}} => {{1,3,4,6},{2},{5,7}} => 1
[4,1,2,6,3,5,7] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,6,3,7,5] => [3,4,6,2,1,5,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,1,2,6,5,3,7] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 0
[4,1,2,6,5,7,3] => [3,4,1,2,6,5,7] => {{1,3},{2,4},{5,6},{7}} => {{1,2,4,6},{3},{5,7}} => 1
[4,1,2,6,7,3,5] => [3,4,7,2,1,5,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,6,7,5,3] => [3,4,1,2,7,5,6] => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 0
[4,1,2,7,3,5,6] => [3,4,6,2,7,1,5] => {{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 0
[4,1,2,7,3,6,5] => [3,4,6,2,1,7,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,7,5,3,6] => [3,4,7,2,6,1,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,1,2,7,5,6,3] => [3,4,1,2,6,7,5] => {{1,3},{2,4},{5,6,7}} => {{1,4,6},{2},{3},{5,7}} => 0
[4,1,2,7,6,3,5] => [3,4,7,2,1,6,5] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,1,2,7,6,5,3] => [3,4,1,2,7,6,5] => {{1,3},{2,4},{5,7},{6}} => {{1,4,6},{2,3},{5,7}} => 1
[4,1,3,2,5,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,2,5,7,6] => [3,5,4,2,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,3,2,6,5,7] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,3,2,6,7,5] => [3,5,4,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,1,3,2,7,5,6] => [3,5,4,2,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,2,7,6,5] => [3,5,4,2,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,1,3,5,2,6,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,3,5,2,7,6] => [3,6,4,2,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,1,3,5,6,2,7] => [3,7,4,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,1,3,5,6,7,2] => [3,1,4,2,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[4,1,3,5,7,2,6] => [3,7,4,2,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,3,5,7,6,2] => [3,1,4,2,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[4,1,3,6,2,5,7] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,6,2,7,5] => [3,6,4,2,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,3,6,5,2,7] => [3,7,4,2,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,1,3,6,5,7,2] => [3,1,4,2,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[4,1,3,6,7,2,5] => [3,7,4,2,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,6,7,5,2] => [3,1,4,2,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[4,1,3,7,2,5,6] => [3,6,4,2,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,1,3,7,2,6,5] => [3,6,4,2,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,7,5,2,6] => [3,7,4,2,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,3,7,5,6,2] => [3,1,4,2,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[4,1,3,7,6,2,5] => [3,7,4,2,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,3,7,6,5,2] => [3,1,4,2,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[4,1,5,2,3,6,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,1,5,2,3,7,6] => [3,5,6,2,4,1,7] => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 1
[4,1,5,2,6,3,7] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 1
[4,1,5,2,6,7,3] => [3,5,1,2,4,6,7] => {{1,3},{2,4,5},{6},{7}} => {{1,2,3,6},{4},{5,7}} => 2
[4,1,5,2,7,3,6] => [3,5,7,2,4,1,6] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,1,5,2,7,6,3] => [3,5,1,2,4,7,6] => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 0
[4,1,5,3,2,6,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,3,2,7,6] => [3,6,5,2,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,5,3,6,2,7] => [3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,5,3,6,7,2] => [3,1,5,2,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,1,5,3,7,2,6] => [3,7,5,2,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,3,7,6,2] => [3,1,5,2,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,1,5,6,2,3,7] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[4,1,5,6,2,7,3] => [3,6,1,2,4,5,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[4,1,5,6,3,2,7] => [3,7,6,2,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,6,3,7,2] => [3,1,6,2,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,5,6,7,2,3] => [3,7,1,2,4,5,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,5,6,7,3,2] => [3,1,7,2,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,7,2,3,6] => [3,6,7,2,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,7,2,6,3] => [3,6,1,2,4,7,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,5,7,3,2,6] => [3,7,6,2,4,1,5] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[4,1,5,7,3,6,2] => [3,1,6,2,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,5,7,6,2,3] => [3,7,1,2,4,6,5] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[4,1,5,7,6,3,2] => [3,1,7,2,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,6,2,3,5,7] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,6,2,3,7,5] => [3,5,6,2,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,6,2,5,3,7] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[4,1,6,2,5,7,3] => [3,5,1,2,6,4,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[4,1,6,2,7,3,5] => [3,5,7,2,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,6,2,7,5,3] => [3,5,1,2,7,4,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,6,3,2,5,7] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,1,6,3,2,7,5] => [3,6,5,2,1,4,7] => {{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}} => 1
[4,1,6,3,5,2,7] => [3,7,5,2,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,6,3,5,7,2] => [3,1,5,2,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,1,6,3,7,2,5] => [3,7,5,2,1,4,6] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[4,1,6,3,7,5,2] => [3,1,5,2,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,6,5,2,3,7] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 1
[4,1,6,5,2,7,3] => [3,6,1,2,5,4,7] => {{1,3},{2,4,6},{5},{7}} => {{1,2,6},{3,4},{5,7}} => 2
[4,1,6,5,3,2,7] => [3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,6,5,3,7,2] => [3,1,6,2,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,1,6,5,7,2,3] => [3,7,1,2,5,4,6] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[4,1,6,5,7,3,2] => [3,1,7,2,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,6,7,2,3,5] => [3,6,7,2,1,4,5] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,1,6,7,2,5,3] => [3,6,1,2,7,4,5] => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 0
[4,1,6,7,3,2,5] => [3,7,6,2,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,6,7,3,5,2] => [3,1,6,2,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,1,6,7,5,2,3] => [3,7,1,2,6,4,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,6,7,5,3,2] => [3,1,7,2,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,2,3,5,6] => [3,5,6,2,7,1,4] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[4,1,7,2,3,6,5] => [3,5,6,2,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,2,5,3,6] => [3,5,7,2,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,2,5,6,3] => [3,5,1,2,6,7,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,7,2,6,3,5] => [3,5,7,2,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,7,2,6,5,3] => [3,5,1,2,7,6,4] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[4,1,7,3,2,5,6] => [3,6,5,2,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,3,2,6,5] => [3,6,5,2,1,7,4] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[4,1,7,3,5,2,6] => [3,7,5,2,6,1,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,1,7,3,5,6,2] => [3,1,5,2,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,3,6,2,5] => [3,7,5,2,1,6,4] => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}} => 1
[4,1,7,3,6,5,2] => [3,1,5,2,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,1,7,5,2,3,6] => [3,6,7,2,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,7,5,2,6,3] => [3,6,1,2,5,7,4] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[4,1,7,5,3,2,6] => [3,7,6,2,5,1,4] => {{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}} => 1
[4,1,7,5,3,6,2] => [3,1,6,2,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,1,7,5,6,2,3] => [3,7,1,2,5,6,4] => {{1,3},{2,4,7},{5},{6}} => {{1,6},{2,3,4},{5,7}} => 2
[4,1,7,5,6,3,2] => [3,1,7,2,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,1,7,6,2,3,5] => [3,6,7,2,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,6,2,5,3] => [3,6,1,2,7,5,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[4,1,7,6,3,2,5] => [3,7,6,2,1,5,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,1,7,6,3,5,2] => [3,1,6,2,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,1,7,6,5,2,3] => [3,7,1,2,6,5,4] => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 0
[4,1,7,6,5,3,2] => [3,1,7,2,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,2,1,3,5,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,3,5,7,6] => [4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,1,3,6,5,7] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,1,3,6,7,5] => [4,3,5,2,1,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,2,1,3,7,5,6] => [4,3,5,2,7,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,3,7,6,5] => [4,3,5,2,1,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,2,1,5,3,6,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,1,5,3,7,6] => [4,3,6,2,5,1,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,2,1,5,6,3,7] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,2,1,5,6,7,3] => [4,3,1,2,5,6,7] => {{1,2,3,4},{5},{6},{7}} => {{1,2,3,4},{5},{6},{7}} => 3
[4,2,1,5,7,3,6] => [4,3,7,2,5,1,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,1,5,7,6,3] => [4,3,1,2,5,7,6] => {{1,2,3,4},{5},{6,7}} => {{1,3,4},{2},{5},{6},{7}} => 1
[4,2,1,6,3,5,7] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,6,3,7,5] => [4,3,6,2,1,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,1,6,5,3,7] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,2,1,6,5,7,3] => [4,3,1,2,6,5,7] => {{1,2,3,4},{5,6},{7}} => {{1,2,4},{3},{5},{6},{7}} => 1
[4,2,1,6,7,3,5] => [4,3,7,2,1,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,6,7,5,3] => [4,3,1,2,7,5,6] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[4,2,1,7,3,5,6] => [4,3,6,2,7,1,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,2,1,7,3,6,5] => [4,3,6,2,1,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,7,5,3,6] => [4,3,7,2,6,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,1,7,5,6,3] => [4,3,1,2,6,7,5] => {{1,2,3,4},{5,6,7}} => {{1,4},{2},{3},{5},{6},{7}} => 0
[4,2,1,7,6,3,5] => [4,3,7,2,1,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,1,7,6,5,3] => [4,3,1,2,7,6,5] => {{1,2,3,4},{5,7},{6}} => {{1,4},{2,3},{5},{6},{7}} => 1
[4,2,3,1,5,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,1,5,7,6] => [5,3,4,2,6,1,7] => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 1
[4,2,3,1,6,5,7] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 1
[4,2,3,1,6,7,5] => [5,3,4,2,1,6,7] => {{1,5},{2,3,4},{6},{7}} => {{1,2,3},{4,7},{5},{6}} => 2
[4,2,3,1,7,5,6] => [5,3,4,2,7,1,6] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,1,7,6,5] => [5,3,4,2,1,7,6] => {{1,5},{2,3,4},{6,7}} => {{1,3},{2},{4,7},{5},{6}} => 0
[4,2,3,5,1,6,7] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 1
[4,2,3,5,1,7,6] => [6,3,4,2,5,1,7] => {{1,6},{2,3,4},{5},{7}} => {{1,2},{3,4,7},{5},{6}} => 2
[4,2,3,5,6,1,7] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}} => {{1},{2,3,4,7},{5},{6}} => 2
[4,2,3,5,6,7,1] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1,2,3,4,7},{5},{6}} => 4
[4,2,3,5,7,1,6] => [7,3,4,2,5,1,6] => {{1,6,7},{2,3,4},{5}} => {{1},{2},{3,4,7},{5},{6}} => 1
[4,2,3,5,7,6,1] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1,3,4,7},{2},{5},{6}} => 2
[4,2,3,6,1,5,7] => [6,3,4,2,7,5,1] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,6,1,7,5] => [6,3,4,2,1,5,7] => {{1,5,6},{2,3,4},{7}} => {{1,2},{3},{4,7},{5},{6}} => 1
[4,2,3,6,5,1,7] => [7,3,4,2,6,5,1] => {{1,7},{2,3,4},{5,6}} => {{1},{2,4,7},{3},{5},{6}} => 0
[4,2,3,6,5,7,1] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1,2,4,7},{3},{5},{6}} => 2
[4,2,3,6,7,1,5] => [7,3,4,2,1,5,6] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,6,7,5,1] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 1
[4,2,3,7,1,5,6] => [6,3,4,2,7,1,5] => {{1,6},{2,3,4},{5,7}} => {{1,3},{2,4,7},{5},{6}} => 0
[4,2,3,7,1,6,5] => [6,3,4,2,1,7,5] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,7,5,1,6] => [7,3,4,2,6,1,5] => {{1,5,6,7},{2,3,4}} => {{1},{2},{3},{4,7},{5},{6}} => 0
[4,2,3,7,5,6,1] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1,4,7},{2},{3},{5},{6}} => 1
[4,2,3,7,6,1,5] => [7,3,4,2,1,6,5] => {{1,5,7},{2,3,4},{6}} => {{1},{2,3},{4,7},{5},{6}} => 1
[4,2,3,7,6,5,1] => [1,3,4,2,7,6,5] => {{1},{2,3,4},{5,7},{6}} => {{1,4,7},{2,3},{5},{6}} => 2
[4,2,5,1,3,6,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,1,3,7,6] => [5,3,6,2,4,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,5,1,6,3,7] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,5,1,6,7,3] => [5,3,1,2,4,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,2,5,1,7,3,6] => [5,3,7,2,4,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,1,7,6,3] => [5,3,1,2,4,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,2,5,3,1,6,7] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[4,2,5,3,1,7,6] => [6,3,5,2,4,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[4,2,5,3,6,1,7] => [7,3,5,2,4,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[4,2,5,3,6,7,1] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[4,2,5,3,7,1,6] => [7,3,5,2,4,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[4,2,5,3,7,6,1] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[4,2,5,6,1,3,7] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,6,1,7,3] => [6,3,1,2,4,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,5,6,3,1,7] => [7,3,6,2,4,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,2,5,6,3,7,1] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,2,5,6,7,1,3] => [7,3,1,2,4,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,6,7,3,1] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,5,7,1,3,6] => [6,3,7,2,4,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,2,5,7,1,6,3] => [6,3,1,2,4,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,7,3,1,6] => [7,3,6,2,4,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,5,7,3,6,1] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,5,7,6,1,3] => [7,3,1,2,4,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,5,7,6,3,1] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,2,6,1,3,5,7] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[4,2,6,1,3,7,5] => [5,3,6,2,1,4,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[4,2,6,1,5,3,7] => [5,3,7,2,6,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,1,5,7,3] => [5,3,1,2,6,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,6,1,7,3,5] => [5,3,7,2,1,4,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,2,6,1,7,5,3] => [5,3,1,2,7,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,3,1,5,7] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,3,1,7,5] => [6,3,5,2,1,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,2,6,3,5,1,7] => [7,3,5,2,6,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,2,6,3,5,7,1] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,2,6,3,7,1,5] => [7,3,5,2,1,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,3,7,5,1] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,6,5,1,3,7] => [6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,6,5,1,7,3] => [6,3,1,2,5,4,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,2,6,5,3,1,7] => [7,3,6,2,5,4,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[4,2,6,5,3,7,1] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[4,2,6,5,7,1,3] => [7,3,1,2,5,4,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,6,5,7,3,1] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[4,2,6,7,1,3,5] => [6,3,7,2,1,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,7,1,5,3] => [6,3,1,2,7,4,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,2,6,7,3,1,5] => [7,3,6,2,1,4,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[4,2,6,7,3,5,1] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[4,2,6,7,5,1,3] => [7,3,1,2,6,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,6,7,5,3,1] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,7,1,3,5,6] => [5,3,6,2,7,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,1,3,6,5] => [5,3,6,2,1,7,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,2,7,1,5,3,6] => [5,3,7,2,6,1,4] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[4,2,7,1,5,6,3] => [5,3,1,2,6,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,1,6,3,5] => [5,3,7,2,1,6,4] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[4,2,7,1,6,5,3] => [5,3,1,2,7,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,7,3,1,5,6] => [6,3,5,2,7,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,2,7,3,1,6,5] => [6,3,5,2,1,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,3,5,1,6] => [7,3,5,2,6,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,3,5,6,1] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,7,3,6,1,5] => [7,3,5,2,1,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,2,7,3,6,5,1] => [1,3,5,2,7,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,2,7,5,1,3,6] => [6,3,7,2,5,1,4] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[4,2,7,5,1,6,3] => [6,3,1,2,5,7,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,7,5,3,1,6] => [7,3,6,2,5,1,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,2,7,5,3,6,1] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[4,2,7,5,6,1,3] => [7,3,1,2,5,6,4] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,2,7,5,6,3,1] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[4,2,7,6,1,3,5] => [6,3,7,2,1,5,4] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[4,2,7,6,1,5,3] => [6,3,1,2,7,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,6,3,1,5] => [7,3,6,2,1,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,2,7,6,3,5,1] => [1,3,6,2,7,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,2,7,6,5,1,3] => [7,3,1,2,6,5,4] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,2,7,6,5,3,1] => [1,3,7,2,6,5,4] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[4,3,1,2,5,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,2,5,7,6] => [4,5,3,2,6,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,1,2,6,5,7] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,1,2,6,7,5] => [4,5,3,2,1,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[4,3,1,2,7,5,6] => [4,5,3,2,7,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,2,7,6,5] => [4,5,3,2,1,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[4,3,1,5,2,6,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,1,5,2,7,6] => [4,6,3,2,5,1,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[4,3,1,5,6,2,7] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[4,3,1,5,6,7,2] => [4,1,3,2,5,6,7] => {{1,2,4},{3},{5},{6},{7}} => {{1,2,3,4},{5,6},{7}} => 4
[4,3,1,5,7,2,6] => [4,7,3,2,5,1,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,1,5,7,6,2] => [4,1,3,2,5,7,6] => {{1,2,4},{3},{5},{6,7}} => {{1,3,4},{2},{5,6},{7}} => 2
[4,3,1,6,2,5,7] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,6,2,7,5] => [4,6,3,2,1,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,1,6,5,2,7] => [4,7,3,2,6,5,1] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[4,3,1,6,5,7,2] => [4,1,3,2,6,5,7] => {{1,2,4},{3},{5,6},{7}} => {{1,2,4},{3},{5,6},{7}} => 2
[4,3,1,6,7,2,5] => [4,7,3,2,1,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,6,7,5,2] => [4,1,3,2,7,5,6] => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 1
[4,3,1,7,2,5,6] => [4,6,3,2,7,1,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[4,3,1,7,2,6,5] => [4,6,3,2,1,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,7,5,2,6] => [4,7,3,2,6,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,1,7,5,6,2] => [4,1,3,2,6,7,5] => {{1,2,4},{3},{5,6,7}} => {{1,4},{2},{3},{5,6},{7}} => 1
[4,3,1,7,6,2,5] => [4,7,3,2,1,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,1,7,6,5,2] => [4,1,3,2,7,6,5] => {{1,2,4},{3},{5,7},{6}} => {{1,4},{2,3},{5,6},{7}} => 2
[4,3,2,1,5,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,1,5,7,6] => [5,4,3,2,6,1,7] => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 2
[4,3,2,1,6,5,7] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 2
[4,3,2,1,6,7,5] => [5,4,3,2,1,6,7] => {{1,5},{2,4},{3},{6},{7}} => {{1,2,3},{4,7},{5,6}} => 3
[4,3,2,1,7,5,6] => [5,4,3,2,7,1,6] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,1,7,6,5] => [5,4,3,2,1,7,6] => {{1,5},{2,4},{3},{6,7}} => {{1,3},{2},{4,7},{5,6}} => 1
[4,3,2,5,1,6,7] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 2
[4,3,2,5,1,7,6] => [6,4,3,2,5,1,7] => {{1,6},{2,4},{3},{5},{7}} => {{1,2},{3,4,7},{5,6}} => 3
[4,3,2,5,6,1,7] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => {{1},{2,3,4,7},{5,6}} => 3
[4,3,2,5,6,7,1] => [1,4,3,2,5,6,7] => {{1},{2,4},{3},{5},{6},{7}} => {{1,2,3,4,7},{5,6}} => 5
[4,3,2,5,7,1,6] => [7,4,3,2,5,1,6] => {{1,6,7},{2,4},{3},{5}} => {{1},{2},{3,4,7},{5,6}} => 2
[4,3,2,5,7,6,1] => [1,4,3,2,5,7,6] => {{1},{2,4},{3},{5},{6,7}} => {{1,3,4,7},{2},{5,6}} => 3
[4,3,2,6,1,5,7] => [6,4,3,2,7,5,1] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,6,1,7,5] => [6,4,3,2,1,5,7] => {{1,5,6},{2,4},{3},{7}} => {{1,2},{3},{4,7},{5,6}} => 2
[4,3,2,6,5,1,7] => [7,4,3,2,6,5,1] => {{1,7},{2,4},{3},{5,6}} => {{1},{2,4,7},{3},{5,6}} => 1
[4,3,2,6,5,7,1] => [1,4,3,2,6,5,7] => {{1},{2,4},{3},{5,6},{7}} => {{1,2,4,7},{3},{5,6}} => 3
[4,3,2,6,7,1,5] => [7,4,3,2,1,5,6] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,6,7,5,1] => [1,4,3,2,7,5,6] => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 2
[4,3,2,7,1,5,6] => [6,4,3,2,7,1,5] => {{1,6},{2,4},{3},{5,7}} => {{1,3},{2,4,7},{5,6}} => 1
[4,3,2,7,1,6,5] => [6,4,3,2,1,7,5] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,7,5,1,6] => [7,4,3,2,6,1,5] => {{1,5,6,7},{2,4},{3}} => {{1},{2},{3},{4,7},{5,6}} => 1
[4,3,2,7,5,6,1] => [1,4,3,2,6,7,5] => {{1},{2,4},{3},{5,6,7}} => {{1,4,7},{2},{3},{5,6}} => 2
[4,3,2,7,6,1,5] => [7,4,3,2,1,6,5] => {{1,5,7},{2,4},{3},{6}} => {{1},{2,3},{4,7},{5,6}} => 2
[4,3,2,7,6,5,1] => [1,4,3,2,7,6,5] => {{1},{2,4},{3},{5,7},{6}} => {{1,4,7},{2,3},{5,6}} => 3
[4,3,5,1,2,6,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,1,2,7,6] => [5,6,3,2,4,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,5,1,6,2,7] => [5,7,3,2,4,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,5,1,6,7,2] => [5,1,3,2,4,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[4,3,5,1,7,2,6] => [5,7,3,2,4,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,1,7,6,2] => [5,1,3,2,4,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[4,3,5,2,1,6,7] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 1
[4,3,5,2,1,7,6] => [6,5,3,2,4,1,7] => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 2
[4,3,5,2,6,1,7] => [7,5,3,2,4,6,1] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 2
[4,3,5,2,6,7,1] => [1,5,3,2,4,6,7] => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 4
[4,3,5,2,7,1,6] => [7,5,3,2,4,1,6] => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 1
[4,3,5,2,7,6,1] => [1,5,3,2,4,7,6] => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 2
[4,3,5,6,1,2,7] => [6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,6,1,7,2] => [6,1,3,2,4,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,5,6,2,1,7] => [7,6,3,2,4,5,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[4,3,5,6,2,7,1] => [1,6,3,2,4,5,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[4,3,5,6,7,1,2] => [7,1,3,2,4,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,6,7,2,1] => [1,7,3,2,4,5,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,5,7,1,2,6] => [6,7,3,2,4,1,5] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[4,3,5,7,1,6,2] => [6,1,3,2,4,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,7,2,1,6] => [7,6,3,2,4,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,5,7,2,6,1] => [1,6,3,2,4,7,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,5,7,6,1,2] => [7,1,3,2,4,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,5,7,6,2,1] => [1,7,3,2,4,6,5] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[4,3,6,1,2,5,7] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 1
[4,3,6,1,2,7,5] => [5,6,3,2,1,4,7] => {{1,5},{2,4,6},{3},{7}} => {{1,2,4},{3,7},{5,6}} => 2
[4,3,6,1,5,2,7] => [5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,1,5,7,2] => [5,1,3,2,6,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,6,1,7,2,5] => [5,7,3,2,1,4,6] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[4,3,6,1,7,5,2] => [5,1,3,2,7,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,2,1,5,7] => [6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,2,1,7,5] => [6,5,3,2,1,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[4,3,6,2,5,1,7] => [7,5,3,2,6,4,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[4,3,6,2,5,7,1] => [1,5,3,2,6,4,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[4,3,6,2,7,1,5] => [7,5,3,2,1,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,2,7,5,1] => [1,5,3,2,7,4,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,6,5,1,2,7] => [6,7,3,2,5,4,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,6,5,1,7,2] => [6,1,3,2,5,4,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[4,3,6,5,2,1,7] => [7,6,3,2,5,4,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 2
[4,3,6,5,2,7,1] => [1,6,3,2,5,4,7] => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 4
[4,3,6,5,7,1,2] => [7,1,3,2,5,4,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,6,5,7,2,1] => [1,7,3,2,5,4,6] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[4,3,6,7,1,2,5] => [6,7,3,2,1,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,7,1,5,2] => [6,1,3,2,7,4,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[4,3,6,7,2,1,5] => [7,6,3,2,1,4,5] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 1
[4,3,6,7,2,5,1] => [1,6,3,2,7,4,5] => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 2
[4,3,6,7,5,1,2] => [7,1,3,2,6,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,6,7,5,2,1] => [1,7,3,2,6,4,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,7,1,2,5,6] => [5,6,3,2,7,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,1,2,6,5] => [5,6,3,2,1,7,4] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[4,3,7,1,5,2,6] => [5,7,3,2,6,1,4] => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 1
[4,3,7,1,5,6,2] => [5,1,3,2,6,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,1,6,2,5] => [5,7,3,2,1,6,4] => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 2
[4,3,7,1,6,5,2] => [5,1,3,2,7,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,7,2,1,5,6] => [6,5,3,2,7,1,4] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[4,3,7,2,1,6,5] => [6,5,3,2,1,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,2,5,1,6] => [7,5,3,2,6,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,2,5,6,1] => [1,5,3,2,6,7,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,7,2,6,1,5] => [7,5,3,2,1,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[4,3,7,2,6,5,1] => [1,5,3,2,7,6,4] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[4,3,7,5,1,2,6] => [6,7,3,2,5,1,4] => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 2
[4,3,7,5,1,6,2] => [6,1,3,2,5,7,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,7,5,2,1,6] => [7,6,3,2,5,1,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[4,3,7,5,2,6,1] => [1,6,3,2,5,7,4] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[4,3,7,5,6,1,2] => [7,1,3,2,5,6,4] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[4,3,7,5,6,2,1] => [1,7,3,2,5,6,4] => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 4
[4,3,7,6,1,2,5] => [6,7,3,2,1,5,4] => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 1
[4,3,7,6,1,5,2] => [6,1,3,2,7,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,6,2,1,5] => [7,6,3,2,1,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[4,3,7,6,2,5,1] => [1,6,3,2,7,5,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[4,3,7,6,5,1,2] => [7,1,3,2,6,5,4] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[4,3,7,6,5,2,1] => [1,7,3,2,6,5,4] => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 2
[4,5,1,2,3,6,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,2,3,7,6] => [4,5,6,2,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,1,2,6,3,7] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,1,2,6,7,3] => [4,5,1,2,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,5,1,2,7,3,6] => [4,5,7,2,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,2,7,6,3] => [4,5,1,2,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,5,1,3,2,6,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,1,3,2,7,6] => [4,6,5,2,3,1,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[4,5,1,3,6,2,7] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[4,5,1,3,6,7,2] => [4,1,5,2,3,6,7] => {{1,2,4},{3,5},{6},{7}} => {{1,2,3,5},{4,6},{7}} => 2
[4,5,1,3,7,2,6] => [4,7,5,2,3,1,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,1,3,7,6,2] => [4,1,5,2,3,7,6] => {{1,2,4},{3,5},{6,7}} => {{1,3,5},{2},{4,6},{7}} => 0
[4,5,1,6,2,3,7] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,6,2,7,3] => [4,6,1,2,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,1,6,3,2,7] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[4,5,1,6,3,7,2] => [4,1,6,2,3,5,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 1
[4,5,1,6,7,2,3] => [4,7,1,2,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,6,7,3,2] => [4,1,7,2,3,5,6] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,5,1,7,2,3,6] => [4,6,7,2,3,1,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[4,5,1,7,2,6,3] => [4,6,1,2,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,7,3,2,6] => [4,7,6,2,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,1,7,3,6,2] => [4,1,6,2,3,7,5] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,5,1,7,6,2,3] => [4,7,1,2,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,1,7,6,3,2] => [4,1,7,2,3,6,5] => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 1
[4,5,2,1,3,6,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,1,3,7,6] => [5,4,6,2,3,1,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,5,2,1,6,3,7] => [5,4,7,2,3,6,1] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,5,2,1,6,7,3] => [5,4,1,2,3,6,7] => {{1,3,5},{2,4},{6},{7}} => {{1,2,3},{4,6},{5,7}} => 2
[4,5,2,1,7,3,6] => [5,4,7,2,3,1,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,1,7,6,3] => [5,4,1,2,3,7,6] => {{1,3,5},{2,4},{6,7}} => {{1,3},{2},{4,6},{5,7}} => 0
[4,5,2,3,1,6,7] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 0
[4,5,2,3,1,7,6] => [6,4,5,2,3,1,7] => {{1,6},{2,4},{3,5},{7}} => {{1,2},{3,5,7},{4,6}} => 1
[4,5,2,3,6,1,7] => [7,4,5,2,3,6,1] => {{1,7},{2,4},{3,5},{6}} => {{1},{2,3,5,7},{4,6}} => 1
[4,5,2,3,6,7,1] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1,2,3,5,7},{4,6}} => 3
[4,5,2,3,7,1,6] => [7,4,5,2,3,1,6] => {{1,6,7},{2,4},{3,5}} => {{1},{2},{3,5,7},{4,6}} => 0
[4,5,2,3,7,6,1] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1,3,5,7},{2},{4,6}} => 1
[4,5,2,6,1,3,7] => [6,4,7,2,3,5,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,6,1,7,3] => [6,4,1,2,3,5,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,5,2,6,3,1,7] => [7,4,6,2,3,5,1] => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 0
[4,5,2,6,3,7,1] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 2
[4,5,2,6,7,1,3] => [7,4,1,2,3,5,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,6,7,3,1] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,5,2,7,1,3,6] => [6,4,7,2,3,1,5] => {{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 0
[4,5,2,7,1,6,3] => [6,4,1,2,3,7,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,7,3,1,6] => [7,4,6,2,3,1,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,5,2,7,3,6,1] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,5,2,7,6,1,3] => [7,4,1,2,3,6,5] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,5,2,7,6,3,1] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 2
[4,5,3,1,2,6,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,1,2,7,6] => [5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,3,1,6,2,7] => [5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,3,1,6,7,2] => [5,1,4,2,3,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[4,5,3,1,7,2,6] => [5,7,4,2,3,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,1,7,6,2] => [5,1,4,2,3,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[4,5,3,2,1,6,7] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[4,5,3,2,1,7,6] => [6,5,4,2,3,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[4,5,3,2,6,1,7] => [7,5,4,2,3,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[4,5,3,2,6,7,1] => [1,5,4,2,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[4,5,3,2,7,1,6] => [7,5,4,2,3,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[4,5,3,2,7,6,1] => [1,5,4,2,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[4,5,3,6,1,2,7] => [6,7,4,2,3,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,6,1,7,2] => [6,1,4,2,3,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,3,6,2,1,7] => [7,6,4,2,3,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,5,3,6,2,7,1] => [1,6,4,2,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,5,3,6,7,1,2] => [7,1,4,2,3,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,6,7,2,1] => [1,7,4,2,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,3,7,1,2,6] => [6,7,4,2,3,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,5,3,7,1,6,2] => [6,1,4,2,3,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,7,2,1,6] => [7,6,4,2,3,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,3,7,2,6,1] => [1,6,4,2,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,3,7,6,1,2] => [7,1,4,2,3,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,3,7,6,2,1] => [1,7,4,2,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,5,6,1,2,3,7] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,5,6,1,2,7,3] => [5,6,1,2,3,4,7] => {{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}} => 1
[4,5,6,1,3,2,7] => [5,7,6,2,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,1,3,7,2] => [5,1,6,2,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,6,1,7,2,3] => [5,7,1,2,3,4,6] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[4,5,6,1,7,3,2] => [5,1,7,2,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,2,1,3,7] => [6,5,7,2,3,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,2,1,7,3] => [6,5,1,2,3,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,5,6,2,3,1,7] => [7,5,6,2,3,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,5,6,2,3,7,1] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,5,6,2,7,1,3] => [7,5,1,2,3,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,2,7,3,1] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,6,3,1,2,7] => [6,7,5,2,3,4,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,6,3,1,7,2] => [6,1,5,2,3,4,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[4,5,6,3,2,1,7] => [7,6,5,2,3,4,1] => {{1,7},{2,4,6},{3,5}} => {{1},{2,7},{3,5},{4,6}} => 0
[4,5,6,3,2,7,1] => [1,6,5,2,3,4,7] => {{1},{2,4,6},{3,5},{7}} => {{1,2,7},{3,5},{4,6}} => 2
[4,5,6,3,7,1,2] => [7,1,5,2,3,4,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,6,3,7,2,1] => [1,7,5,2,3,4,6] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[4,5,6,7,1,2,3] => [6,7,1,2,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,7,1,3,2] => [6,1,7,2,3,4,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[4,5,6,7,2,1,3] => [7,6,1,2,3,4,5] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,5,6,7,2,3,1] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 1
[4,5,6,7,3,1,2] => [7,1,6,2,3,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,6,7,3,2,1] => [1,7,6,2,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,7,1,2,3,6] => [5,6,7,2,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,1,2,6,3] => [5,6,1,2,3,7,4] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[4,5,7,1,3,2,6] => [5,7,6,2,3,1,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,5,7,1,3,6,2] => [5,1,6,2,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,1,6,2,3] => [5,7,1,2,3,6,4] => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}} => 1
[4,5,7,1,6,3,2] => [5,1,7,2,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,7,2,1,3,6] => [6,5,7,2,3,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,5,7,2,1,6,3] => [6,5,1,2,3,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,2,3,1,6] => [7,5,6,2,3,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,2,3,6,1] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,7,2,6,1,3] => [7,5,1,2,3,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,5,7,2,6,3,1] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,5,7,3,1,2,6] => [6,7,5,2,3,1,4] => {{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 0
[4,5,7,3,1,6,2] => [6,1,5,2,3,7,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,7,3,2,1,6] => [7,6,5,2,3,1,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[4,5,7,3,2,6,1] => [1,6,5,2,3,7,4] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[4,5,7,3,6,1,2] => [7,1,5,2,3,6,4] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[4,5,7,3,6,2,1] => [1,7,5,2,3,6,4] => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 2
[4,5,7,6,1,2,3] => [6,7,1,2,3,5,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,5,7,6,1,3,2] => [6,1,7,2,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,6,2,1,3] => [7,6,1,2,3,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,5,7,6,2,3,1] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,5,7,6,3,1,2] => [7,1,6,2,3,5,4] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[4,5,7,6,3,2,1] => [1,7,6,2,3,5,4] => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 1
[4,6,1,2,3,5,7] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,1,2,3,7,5] => [4,5,6,2,1,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[4,6,1,2,5,3,7] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,2,5,7,3] => [4,5,1,2,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,1,2,7,3,5] => [4,5,7,2,1,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[4,6,1,2,7,5,3] => [4,5,1,2,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,3,2,5,7] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,3,2,7,5] => [4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,1,3,5,2,7] => [4,7,5,2,6,3,1] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[4,6,1,3,5,7,2] => [4,1,5,2,6,3,7] => {{1,2,4},{3,5,6},{7}} => {{1,2,5},{3},{4,6},{7}} => 1
[4,6,1,3,7,2,5] => [4,7,5,2,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,3,7,5,2] => [4,1,5,2,7,3,6] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,6,1,5,2,3,7] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,1,5,2,7,3] => [4,6,1,2,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,6,1,5,3,2,7] => [4,7,6,2,5,3,1] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[4,6,1,5,3,7,2] => [4,1,6,2,5,3,7] => {{1,2,4},{3,6},{5},{7}} => {{1,2,5},{3,4,6},{7}} => 2
[4,6,1,5,7,2,3] => [4,7,1,2,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,1,5,7,3,2] => [4,1,7,2,5,3,6] => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 1
[4,6,1,7,2,3,5] => [4,6,7,2,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,7,2,5,3] => [4,6,1,2,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,6,1,7,3,2,5] => [4,7,6,2,1,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,1,7,3,5,2] => [4,1,6,2,7,3,5] => {{1,2,4},{3,6},{5,7}} => {{1,3},{2,5},{4,6},{7}} => 0
[4,6,1,7,5,2,3] => [4,7,1,2,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,1,7,5,3,2] => [4,1,7,2,6,3,5] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,6,2,1,3,5,7] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => {{1},{2,5},{3,7},{4,6}} => 0
[4,6,2,1,3,7,5] => [5,4,6,2,1,3,7] => {{1,5},{2,4},{3,6},{7}} => {{1,2,5},{3,7},{4,6}} => 1
[4,6,2,1,5,3,7] => [5,4,7,2,6,3,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,1,5,7,3] => [5,4,1,2,6,3,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,6,2,1,7,3,5] => [5,4,7,2,1,3,6] => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 0
[4,6,2,1,7,5,3] => [5,4,1,2,7,3,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,3,1,5,7] => [6,4,5,2,7,3,1] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,3,1,7,5] => [6,4,5,2,1,3,7] => {{1,3,5,6},{2,4},{7}} => {{1,2},{3},{4,6},{5,7}} => 1
[4,6,2,3,5,1,7] => [7,4,5,2,6,3,1] => {{1,7},{2,4},{3,5,6}} => {{1},{2,5,7},{3},{4,6}} => 0
[4,6,2,3,5,7,1] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1,2,5,7},{3},{4,6}} => 2
[4,6,2,3,7,1,5] => [7,4,5,2,1,3,6] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,3,7,5,1] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,6,2,5,1,3,7] => [6,4,7,2,5,3,1] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,6,2,5,1,7,3] => [6,4,1,2,5,3,7] => {{1,3,6},{2,4},{5},{7}} => {{1,2},{3,4,6},{5,7}} => 2
[4,6,2,5,3,1,7] => [7,4,6,2,5,3,1] => {{1,7},{2,4},{3,6},{5}} => {{1},{2,5,7},{3,4,6}} => 1
[4,6,2,5,3,7,1] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1,2,5,7},{3,4,6}} => 3
[4,6,2,5,7,1,3] => [7,4,1,2,5,3,6] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,6,2,5,7,3,1] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 2
[4,6,2,7,1,3,5] => [6,4,7,2,1,3,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,7,1,5,3] => [6,4,1,2,7,3,5] => {{1,3,6},{2,4},{5,7}} => {{1,3},{2,5,7},{4,6}} => 0
[4,6,2,7,3,1,5] => [7,4,6,2,1,3,5] => {{1,5,7},{2,4},{3,6}} => {{1},{2,5},{3,7},{4,6}} => 0
[4,6,2,7,3,5,1] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1,3,7},{2,5},{4,6}} => 1
[4,6,2,7,5,1,3] => [7,4,1,2,6,3,5] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,6,2,7,5,3,1] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,6,3,1,2,5,7] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[4,6,3,1,2,7,5] => [5,6,4,2,1,3,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[4,6,3,1,5,2,7] => [5,7,4,2,6,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,1,5,7,2] => [5,1,4,2,6,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,3,1,7,2,5] => [5,7,4,2,1,3,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,6,3,1,7,5,2] => [5,1,4,2,7,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,2,1,5,7] => [6,5,4,2,7,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,2,1,7,5] => [6,5,4,2,1,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,3,2,5,1,7] => [7,5,4,2,6,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,6,3,2,5,7,1] => [1,5,4,2,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,6,3,2,7,1,5] => [7,5,4,2,1,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,2,7,5,1] => [1,5,4,2,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,3,5,1,2,7] => [6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,3,5,1,7,2] => [6,1,4,2,5,3,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[4,6,3,5,2,1,7] => [7,6,4,2,5,3,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[4,6,3,5,2,7,1] => [1,6,4,2,5,3,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[4,6,3,5,7,1,2] => [7,1,4,2,5,3,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,3,5,7,2,1] => [1,7,4,2,5,3,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[4,6,3,7,1,2,5] => [6,7,4,2,1,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,7,1,5,2] => [6,1,4,2,7,3,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[4,6,3,7,2,1,5] => [7,6,4,2,1,3,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[4,6,3,7,2,5,1] => [1,6,4,2,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[4,6,3,7,5,1,2] => [7,1,4,2,6,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,3,7,5,2,1] => [1,7,4,2,6,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,5,1,2,3,7] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,1,2,7,3] => [5,6,1,2,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,5,1,3,2,7] => [5,7,6,2,4,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,5,1,3,7,2] => [5,1,6,2,4,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[4,6,5,1,7,2,3] => [5,7,1,2,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,1,7,3,2] => [5,1,7,2,4,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[4,6,5,2,1,3,7] => [6,5,7,2,4,3,1] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,6,5,2,1,7,3] => [6,5,1,2,4,3,7] => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 1
[4,6,5,2,3,1,7] => [7,5,6,2,4,3,1] => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 0
[4,6,5,2,3,7,1] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 2
[4,6,5,2,7,1,3] => [7,5,1,2,4,3,6] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,6,5,2,7,3,1] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 1
[4,6,5,3,1,2,7] => [6,7,5,2,4,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,3,1,7,2] => [6,1,5,2,4,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[4,6,5,3,2,1,7] => [7,6,5,2,4,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[4,6,5,3,2,7,1] => [1,6,5,2,4,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[4,6,5,3,7,1,2] => [7,1,5,2,4,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,3,7,2,1] => [1,7,5,2,4,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,5,7,1,2,3] => [6,7,1,2,4,3,5] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[4,6,5,7,1,3,2] => [6,1,7,2,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,7,2,1,3] => [7,6,1,2,4,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,5,7,2,3,1] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,5,7,3,1,2] => [7,1,6,2,4,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,5,7,3,2,1] => [1,7,6,2,4,3,5] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[4,6,7,1,2,3,5] => [5,6,7,2,1,3,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,6,7,1,2,5,3] => [5,6,1,2,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,1,3,2,5] => [5,7,6,2,1,3,4] => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 0
[4,6,7,1,3,5,2] => [5,1,6,2,7,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,7,1,5,2,3] => [5,7,1,2,6,3,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,6,7,1,5,3,2] => [5,1,7,2,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,2,1,3,5] => [6,5,7,2,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,2,1,5,3] => [6,5,1,2,7,3,4] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[4,6,7,2,3,1,5] => [7,5,6,2,1,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[4,6,7,2,3,5,1] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[4,6,7,2,5,1,3] => [7,5,1,2,6,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,2,5,3,1] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,7,3,1,2,5] => [6,7,5,2,1,3,4] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[4,6,7,3,1,5,2] => [6,1,5,2,7,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,3,2,1,5] => [7,6,5,2,1,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,6,7,3,2,5,1] => [1,6,5,2,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,6,7,3,5,1,2] => [7,1,5,2,6,3,4] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[4,6,7,3,5,2,1] => [1,7,5,2,6,3,4] => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 1
[4,6,7,5,1,2,3] => [6,7,1,2,5,3,4] => {{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}} => 1
[4,6,7,5,1,3,2] => [6,1,7,2,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,7,5,2,1,3] => [7,6,1,2,5,3,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,6,7,5,2,3,1] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[4,6,7,5,3,1,2] => [7,1,6,2,5,3,4] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[4,6,7,5,3,2,1] => [1,7,6,2,5,3,4] => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 2
[4,7,1,2,3,5,6] => [4,5,6,2,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,2,3,6,5] => [4,5,6,2,1,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[4,7,1,2,5,3,6] => [4,5,7,2,6,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,1,2,5,6,3] => [4,5,1,2,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,2,6,3,5] => [4,5,7,2,1,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[4,7,1,2,6,5,3] => [4,5,1,2,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,1,3,2,5,6] => [4,6,5,2,7,1,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[4,7,1,3,2,6,5] => [4,6,5,2,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,3,5,2,6] => [4,7,5,2,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,3,5,6,2] => [4,1,5,2,6,7,3] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,7,1,3,6,2,5] => [4,7,5,2,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,1,3,6,5,2] => [4,1,5,2,7,6,3] => {{1,2,4},{3,5,7},{6}} => {{1,5},{2,3},{4,6},{7}} => 1
[4,7,1,5,2,3,6] => [4,6,7,2,5,1,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[4,7,1,5,2,6,3] => [4,6,1,2,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,1,5,3,2,6] => [4,7,6,2,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,1,5,3,6,2] => [4,1,6,2,5,7,3] => {{1,2,4},{3,6,7},{5}} => {{1,5},{2},{3,4,6},{7}} => 1
[4,7,1,5,6,2,3] => [4,7,1,2,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,7,1,5,6,3,2] => [4,1,7,2,5,6,3] => {{1,2,4},{3,7},{5},{6}} => {{1,5},{2,3,4,6},{7}} => 2
[4,7,1,6,2,3,5] => [4,6,7,2,1,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,1,6,2,5,3] => [4,6,1,2,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,6,3,2,5] => [4,7,6,2,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,1,6,3,5,2] => [4,1,6,2,7,5,3] => {{1,2,4},{3,5,6,7}} => {{1,5},{2},{3},{4,6},{7}} => 0
[4,7,1,6,5,2,3] => [4,7,1,2,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,7,1,6,5,3,2] => [4,1,7,2,6,5,3] => {{1,2,4},{3,7},{5,6}} => {{1,5},{2,4,6},{3},{7}} => 0
[4,7,2,1,3,5,6] => [5,4,6,2,7,1,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,1,3,6,5] => [5,4,6,2,1,7,3] => {{1,5},{2,4},{3,6,7}} => {{1,5},{2},{3,7},{4,6}} => 0
[4,7,2,1,5,3,6] => [5,4,7,2,6,1,3] => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 0
[4,7,2,1,5,6,3] => [5,4,1,2,6,7,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,1,6,3,5] => [5,4,7,2,1,6,3] => {{1,5},{2,4},{3,7},{6}} => {{1,5},{2,3,7},{4,6}} => 1
[4,7,2,1,6,5,3] => [5,4,1,2,7,6,3] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,7,2,3,1,5,6] => [6,4,5,2,7,1,3] => {{1,6},{2,4},{3,5,7}} => {{1,3,5},{2,7},{4,6}} => 0
[4,7,2,3,1,6,5] => [6,4,5,2,1,7,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,3,5,1,6] => [7,4,5,2,6,1,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,3,5,6,1] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,7,2,3,6,1,5] => [7,4,5,2,1,6,3] => {{1,3,5,7},{2,4},{6}} => {{1},{2,3},{4,6},{5,7}} => 1
[4,7,2,3,6,5,1] => [1,4,5,2,7,6,3] => {{1},{2,4},{3,5,7},{6}} => {{1,5,7},{2,3},{4,6}} => 2
[4,7,2,5,1,3,6] => [6,4,7,2,5,1,3] => {{1,6},{2,4},{3,7},{5}} => {{1,5},{2,7},{3,4,6}} => 1
[4,7,2,5,1,6,3] => [6,4,1,2,5,7,3] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,7,2,5,3,1,6] => [7,4,6,2,5,1,3] => {{1,3,6,7},{2,4},{5}} => {{1},{2},{3,4,6},{5,7}} => 1
[4,7,2,5,3,6,1] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1,5,7},{2},{3,4,6}} => 2
[4,7,2,5,6,1,3] => [7,4,1,2,5,6,3] => {{1,3,7},{2,4},{5},{6}} => {{1},{2,3,4,6},{5,7}} => 2
[4,7,2,5,6,3,1] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1,5,7},{2,3,4,6}} => 3
[4,7,2,6,1,3,5] => [6,4,7,2,1,5,3] => {{1,5,6},{2,4},{3,7}} => {{1,5},{2,7},{3},{4,6}} => 0
[4,7,2,6,1,5,3] => [6,4,1,2,7,5,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,6,3,1,5] => [7,4,6,2,1,5,3] => {{1,3,5,6,7},{2,4}} => {{1},{2},{3},{4,6},{5,7}} => 0
[4,7,2,6,3,5,1] => [1,4,6,2,7,5,3] => {{1},{2,4},{3,5,6,7}} => {{1,5,7},{2},{3},{4,6}} => 1
[4,7,2,6,5,1,3] => [7,4,1,2,6,5,3] => {{1,3,7},{2,4},{5,6}} => {{1},{2,4,6},{3},{5,7}} => 0
[4,7,2,6,5,3,1] => [1,4,7,2,6,5,3] => {{1},{2,4},{3,7},{5,6}} => {{1,5,7},{2,4,6},{3}} => 1
[4,7,3,1,2,5,6] => [5,6,4,2,7,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,1,2,6,5] => [5,6,4,2,1,7,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,7,3,1,5,2,6] => [5,7,4,2,6,1,3] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[4,7,3,1,5,6,2] => [5,1,4,2,6,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,1,6,2,5] => [5,7,4,2,1,6,3] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[4,7,3,1,6,5,2] => [5,1,4,2,7,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,3,2,1,5,6] => [6,5,4,2,7,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,7,3,2,1,6,5] => [6,5,4,2,1,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,2,5,1,6] => [7,5,4,2,6,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,2,5,6,1] => [1,5,4,2,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,3,2,6,1,5] => [7,5,4,2,1,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,3,2,6,5,1] => [1,5,4,2,7,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,7,3,5,1,2,6] => [6,7,4,2,5,1,3] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[4,7,3,5,1,6,2] => [6,1,4,2,5,7,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,3,5,2,1,6] => [7,6,4,2,5,1,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,3,5,2,6,1] => [1,6,4,2,5,7,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[4,7,3,5,6,1,2] => [7,1,4,2,5,6,3] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[4,7,3,5,6,2,1] => [1,7,4,2,5,6,3] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[4,7,3,6,1,2,5] => [6,7,4,2,1,5,3] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[4,7,3,6,1,5,2] => [6,1,4,2,7,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,6,2,1,5] => [7,6,4,2,1,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,3,6,2,5,1] => [1,6,4,2,7,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,3,6,5,1,2] => [7,1,4,2,6,5,3] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[4,7,3,6,5,2,1] => [1,7,4,2,6,5,3] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[4,7,5,1,2,3,6] => [5,6,7,2,4,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,5,1,2,6,3] => [5,6,1,2,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,1,3,2,6] => [5,7,6,2,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,1,3,6,2] => [5,1,6,2,4,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[4,7,5,1,6,2,3] => [5,7,1,2,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,5,1,6,3,2] => [5,1,7,2,4,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[4,7,5,2,1,3,6] => [6,5,7,2,4,1,3] => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 0
[4,7,5,2,1,6,3] => [6,5,1,2,4,7,3] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,7,5,2,3,1,6] => [7,5,6,2,4,1,3] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[4,7,5,2,3,6,1] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 1
[4,7,5,2,6,1,3] => [7,5,1,2,4,6,3] => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 1
[4,7,5,2,6,3,1] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 2
[4,7,5,3,1,2,6] => [6,7,5,2,4,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[4,7,5,3,1,6,2] => [6,1,5,2,4,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,3,2,1,6] => [7,6,5,2,4,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,3,2,6,1] => [1,6,5,2,4,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,5,3,6,1,2] => [7,1,5,2,4,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[4,7,5,3,6,2,1] => [1,7,5,2,4,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[4,7,5,6,1,2,3] => [6,7,1,2,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,6,1,3,2] => [6,1,7,2,4,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,5,6,2,1,3] => [7,6,1,2,4,5,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[4,7,5,6,2,3,1] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[4,7,5,6,3,1,2] => [7,1,6,2,4,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,5,6,3,2,1] => [1,7,6,2,4,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,6,1,2,3,5] => [5,6,7,2,1,4,3] => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 0
[4,7,6,1,2,5,3] => [5,6,1,2,7,4,3] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,7,6,1,3,2,5] => [5,7,6,2,1,4,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[4,7,6,1,3,5,2] => [5,1,6,2,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,1,5,2,3] => [5,7,1,2,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,1,5,3,2] => [5,1,7,2,6,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,6,2,1,3,5] => [6,5,7,2,1,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[4,7,6,2,1,5,3] => [6,5,1,2,7,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,2,3,1,5] => [7,5,6,2,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,2,3,5,1] => [1,5,6,2,7,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,6,2,5,1,3] => [7,5,1,2,6,4,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[4,7,6,2,5,3,1] => [1,5,7,2,6,4,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[4,7,6,3,1,2,5] => [6,7,5,2,1,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,3,1,5,2] => [6,1,5,2,7,4,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[4,7,6,3,2,1,5] => [7,6,5,2,1,4,3] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[4,7,6,3,2,5,1] => [1,6,5,2,7,4,3] => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 1
[4,7,6,3,5,1,2] => [7,1,5,2,6,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[4,7,6,3,5,2,1] => [1,7,5,2,6,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[4,7,6,5,1,2,3] => [6,7,1,2,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,6,5,1,3,2] => [6,1,7,2,5,4,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[4,7,6,5,2,1,3] => [7,6,1,2,5,4,3] => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 1
[4,7,6,5,2,3,1] => [1,6,7,2,5,4,3] => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 2
[4,7,6,5,3,1,2] => [7,1,6,2,5,4,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[4,7,6,5,3,2,1] => [1,7,6,2,5,4,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[5,1,2,3,4,6,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,3,4,7,6] => [3,4,5,6,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,2,3,6,4,7] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,2,3,6,7,4] => [3,4,5,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,1,2,3,7,4,6] => [3,4,5,7,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,3,7,6,4] => [3,4,5,1,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,1,2,4,3,6,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,1,2,4,3,7,6] => [3,4,6,5,2,1,7] => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 1
[5,1,2,4,6,3,7] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 1
[5,1,2,4,6,7,3] => [3,4,1,5,2,6,7] => {{1,3},{2,4,5},{6},{7}} => {{1,2,3,6},{4},{5,7}} => 2
[5,1,2,4,7,3,6] => [3,4,7,5,2,1,6] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,1,2,4,7,6,3] => [3,4,1,5,2,7,6] => {{1,3},{2,4,5},{6,7}} => {{1,3,6},{2},{4},{5,7}} => 0
[5,1,2,6,3,4,7] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,6,3,7,4] => [3,4,6,1,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,2,6,4,3,7] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[5,1,2,6,4,7,3] => [3,4,1,6,2,5,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[5,1,2,6,7,3,4] => [3,4,7,1,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,6,7,4,3] => [3,4,1,7,2,5,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,2,7,3,4,6] => [3,4,6,7,2,1,5] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[5,1,2,7,3,6,4] => [3,4,6,1,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,7,4,3,6] => [3,4,7,6,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,2,7,4,6,3] => [3,4,1,6,2,7,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,2,7,6,3,4] => [3,4,7,1,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,2,7,6,4,3] => [3,4,1,7,2,6,5] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[5,1,3,2,4,6,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,3,2,4,7,6] => [3,5,4,6,2,1,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,1,3,2,6,4,7] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,1,3,2,6,7,4] => [3,5,4,1,2,6,7] => {{1,3,4},{2,5},{6},{7}} => {{1,2,3,6},{4,7},{5}} => 2
[5,1,3,2,7,4,6] => [3,5,4,7,2,1,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,3,2,7,6,4] => [3,5,4,1,2,7,6] => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 0
[5,1,3,4,2,6,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,4,2,7,6] => [3,6,4,5,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,3,4,6,2,7] => [3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,3,4,6,7,2] => [3,1,4,5,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,1,3,4,7,2,6] => [3,7,4,5,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,4,7,6,2] => [3,1,4,5,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,1,3,6,2,4,7] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,1,3,6,2,7,4] => [3,6,4,1,2,5,7] => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 1
[5,1,3,6,4,2,7] => [3,7,4,6,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,6,4,7,2] => [3,1,4,6,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,3,6,7,2,4] => [3,7,4,1,2,5,6] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[5,1,3,6,7,4,2] => [3,1,4,7,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,7,2,4,6] => [3,6,4,7,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,7,2,6,4] => [3,6,4,1,2,7,5] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[5,1,3,7,4,2,6] => [3,7,4,6,2,1,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,1,3,7,4,6,2] => [3,1,4,6,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,3,7,6,2,4] => [3,7,4,1,2,6,5] => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 1
[5,1,3,7,6,4,2] => [3,1,4,7,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,4,2,3,6,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,1,4,2,3,7,6] => [3,5,6,4,2,1,7] => {{1,3,6},{2,5},{4},{7}} => {{1,2},{3,6},{4,5,7}} => 2
[5,1,4,2,6,3,7] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,6},{4,5,7}} => 2
[5,1,4,2,6,7,3] => [3,5,1,4,2,6,7] => {{1,3},{2,5},{4},{6},{7}} => {{1,2,3,6},{4,5,7}} => 3
[5,1,4,2,7,3,6] => [3,5,7,4,2,1,6] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,1,4,2,7,6,3] => [3,5,1,4,2,7,6] => {{1,3},{2,5},{4},{6,7}} => {{1,3,6},{2},{4,5,7}} => 1
[5,1,4,3,2,6,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,3,2,7,6] => [3,6,5,4,2,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,1,4,3,6,2,7] => [3,7,5,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,1,4,3,6,7,2] => [3,1,5,4,2,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[5,1,4,3,7,2,6] => [3,7,5,4,2,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,3,7,6,2] => [3,1,5,4,2,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[5,1,4,6,2,3,7] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 1
[5,1,4,6,2,7,3] => [3,6,1,4,2,5,7] => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 2
[5,1,4,6,3,2,7] => [3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,6,3,7,2] => [3,1,6,4,2,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,1,4,6,7,2,3] => [3,7,1,4,2,5,6] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[5,1,4,6,7,3,2] => [3,1,7,4,2,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,7,2,3,6] => [3,6,7,4,2,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,7,2,6,3] => [3,6,1,4,2,7,5] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[5,1,4,7,3,2,6] => [3,7,6,4,2,1,5] => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 1
[5,1,4,7,3,6,2] => [3,1,6,4,2,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,1,4,7,6,2,3] => [3,7,1,4,2,6,5] => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 2
[5,1,4,7,6,3,2] => [3,1,7,4,2,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,1,6,2,3,4,7] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,6,2,3,7,4] => [3,5,6,1,2,4,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,1,6,2,4,3,7] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}} => 0
[5,1,6,2,4,7,3] => [3,5,1,6,2,4,7] => {{1,3},{2,5},{4,6},{7}} => {{1,2,4},{3,6},{5,7}} => 1
[5,1,6,2,7,3,4] => [3,5,7,1,2,4,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,6,2,7,4,3] => [3,5,1,7,2,4,6] => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 0
[5,1,6,3,2,4,7] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,3,2,7,4] => [3,6,5,1,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,6,3,4,2,7] => [3,7,5,6,2,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,1,6,3,4,7,2] => [3,1,5,6,2,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[5,1,6,3,7,2,4] => [3,7,5,1,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,3,7,4,2] => [3,1,5,7,2,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[5,1,6,4,2,3,7] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[5,1,6,4,2,7,3] => [3,6,1,5,2,4,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[5,1,6,4,3,2,7] => [3,7,6,5,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,4,3,7,2] => [3,1,6,5,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,1,6,4,7,2,3] => [3,7,1,5,2,4,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,6,4,7,3,2] => [3,1,7,5,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,7,2,3,4] => [3,6,7,1,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,7,2,4,3] => [3,6,1,7,2,4,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,6,7,3,2,4] => [3,7,6,1,2,4,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,1,6,7,3,4,2] => [3,1,6,7,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,6,7,4,2,3] => [3,7,1,6,2,4,5] => {{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 0
[5,1,6,7,4,3,2] => [3,1,7,6,2,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,1,7,2,3,4,6] => [3,5,6,7,2,1,4] => {{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => 0
[5,1,7,2,3,6,4] => [3,5,6,1,2,7,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,7,2,4,3,6] => [3,5,7,6,2,1,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,1,7,2,4,6,3] => [3,5,1,6,2,7,4] => {{1,3},{2,5},{4,6,7}} => {{1,4},{2},{3,6},{5,7}} => 0
[5,1,7,2,6,3,4] => [3,5,7,1,2,6,4] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,1,7,2,6,4,3] => [3,5,1,7,2,6,4] => {{1,3},{2,5},{4,7},{6}} => {{1,4},{2,3,6},{5,7}} => 1
[5,1,7,3,2,4,6] => [3,6,5,7,2,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,1,7,3,2,6,4] => [3,6,5,1,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,7,3,4,2,6] => [3,7,5,6,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,7,3,4,6,2] => [3,1,5,6,2,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[5,1,7,3,6,2,4] => [3,7,5,1,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,7,3,6,4,2] => [3,1,5,7,2,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[5,1,7,4,2,3,6] => [3,6,7,5,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,7,4,2,6,3] => [3,6,1,5,2,7,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,7,4,3,2,6] => [3,7,6,5,2,1,4] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[5,1,7,4,3,6,2] => [3,1,6,5,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,7,4,6,2,3] => [3,7,1,5,2,6,4] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[5,1,7,4,6,3,2] => [3,1,7,5,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,1,7,6,2,3,4] => [3,6,7,1,2,5,4] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,1,7,6,2,4,3] => [3,6,1,7,2,5,4] => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 0
[5,1,7,6,3,2,4] => [3,7,6,1,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,1,7,6,3,4,2] => [3,1,6,7,2,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,1,7,6,4,2,3] => [3,7,1,6,2,5,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[5,1,7,6,4,3,2] => [3,1,7,6,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,3,4,6,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,1,3,4,7,6] => [4,3,5,6,2,1,7] => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 1
[5,2,1,3,6,4,7] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 1
[5,2,1,3,6,7,4] => [4,3,5,1,2,6,7] => {{1,4},{2,3,5},{6},{7}} => {{1,2,3,5},{4,7},{6}} => 2
[5,2,1,3,7,4,6] => [4,3,5,7,2,1,6] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,1,3,7,6,4] => [4,3,5,1,2,7,6] => {{1,4},{2,3,5},{6,7}} => {{1,3,5},{2},{4,7},{6}} => 0
[5,2,1,4,3,6,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,4,3,7,6] => [4,3,6,5,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,1,4,6,3,7] => [4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,1,4,6,7,3] => [4,3,1,5,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,2,1,4,7,3,6] => [4,3,7,5,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,4,7,6,3] => [4,3,1,5,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,2,1,6,3,4,7] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[5,2,1,6,3,7,4] => [4,3,6,1,2,5,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[5,2,1,6,4,3,7] => [4,3,7,6,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,6,4,7,3] => [4,3,1,6,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,1,6,7,3,4] => [4,3,7,1,2,5,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,2,1,6,7,4,3] => [4,3,1,7,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,7,3,4,6] => [4,3,6,7,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,7,3,6,4] => [4,3,6,1,2,7,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,2,1,7,4,3,6] => [4,3,7,6,2,1,5] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[5,2,1,7,4,6,3] => [4,3,1,6,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,1,7,6,3,4] => [4,3,7,1,2,6,5] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[5,2,1,7,6,4,3] => [4,3,1,7,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,3,1,4,6,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,1,4,7,6] => [5,3,4,6,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,3,1,6,4,7] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,3,1,6,7,4] => [5,3,4,1,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,2,3,1,7,4,6] => [5,3,4,7,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,1,7,6,4] => [5,3,4,1,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,2,3,4,1,6,7] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[5,2,3,4,1,7,6] => [6,3,4,5,2,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[5,2,3,4,6,1,7] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[5,2,3,4,6,7,1] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[5,2,3,4,7,1,6] => [7,3,4,5,2,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[5,2,3,4,7,6,1] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[5,2,3,6,1,4,7] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,6,1,7,4] => [6,3,4,1,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,3,6,4,1,7] => [7,3,4,6,2,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,2,3,6,4,7,1] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,2,3,6,7,1,4] => [7,3,4,1,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,6,7,4,1] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,2,3,7,1,4,6] => [6,3,4,7,2,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,2,3,7,1,6,4] => [6,3,4,1,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,7,4,1,6] => [7,3,4,6,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,3,7,4,6,1] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,2,3,7,6,1,4] => [7,3,4,1,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,3,7,6,4,1] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,2,4,1,3,6,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,1,3,7,6] => [5,3,6,4,2,1,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,2,4,1,6,3,7] => [5,3,7,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,2,4,1,6,7,3] => [5,3,1,4,2,6,7] => {{1,2,3,5},{4},{6},{7}} => {{1,2,3},{4,5},{6},{7}} => 3
[5,2,4,1,7,3,6] => [5,3,7,4,2,1,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,1,7,6,3] => [5,3,1,4,2,7,6] => {{1,2,3,5},{4},{6,7}} => {{1,3},{2},{4,5},{6},{7}} => 1
[5,2,4,3,1,6,7] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 1
[5,2,4,3,1,7,6] => [6,3,5,4,2,1,7] => {{1,6},{2,3,5},{4},{7}} => {{1,2},{3,7},{4,5},{6}} => 2
[5,2,4,3,6,1,7] => [7,3,5,4,2,6,1] => {{1,7},{2,3,5},{4},{6}} => {{1},{2,3,7},{4,5},{6}} => 2
[5,2,4,3,6,7,1] => [1,3,5,4,2,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1,2,3,7},{4,5},{6}} => 4
[5,2,4,3,7,1,6] => [7,3,5,4,2,1,6] => {{1,6,7},{2,3,5},{4}} => {{1},{2},{3,7},{4,5},{6}} => 1
[5,2,4,3,7,6,1] => [1,3,5,4,2,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1,3,7},{2},{4,5},{6}} => 2
[5,2,4,6,1,3,7] => [6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,6,1,7,3] => [6,3,1,4,2,5,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,2,4,6,3,1,7] => [7,3,6,4,2,5,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[5,2,4,6,3,7,1] => [1,3,6,4,2,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[5,2,4,6,7,1,3] => [7,3,1,4,2,5,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,6,7,3,1] => [1,3,7,4,2,5,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,2,4,7,1,3,6] => [6,3,7,4,2,1,5] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[5,2,4,7,1,6,3] => [6,3,1,4,2,7,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,7,3,1,6] => [7,3,6,4,2,1,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,2,4,7,3,6,1] => [1,3,6,4,2,7,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,2,4,7,6,1,3] => [7,3,1,4,2,6,5] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,2,4,7,6,3,1] => [1,3,7,4,2,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[5,2,6,1,3,4,7] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,1,3,7,4] => [5,3,6,1,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,6,1,4,3,7] => [5,3,7,6,2,4,1] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,2,6,1,4,7,3] => [5,3,1,6,2,4,7] => {{1,2,3,5},{4,6},{7}} => {{1,2,4},{3,5},{6},{7}} => 1
[5,2,6,1,7,3,4] => [5,3,7,1,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,1,7,4,3] => [5,3,1,7,2,4,6] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[5,2,6,3,1,4,7] => [6,3,5,7,2,4,1] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,6,3,1,7,4] => [6,3,5,1,2,4,7] => {{1,4,6},{2,3,5},{7}} => {{1,2},{3,5},{4,7},{6}} => 1
[5,2,6,3,4,1,7] => [7,3,5,6,2,4,1] => {{1,7},{2,3,5},{4,6}} => {{1},{2,4,7},{3,5},{6}} => 0
[5,2,6,3,4,7,1] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1,2,4,7},{3,5},{6}} => 2
[5,2,6,3,7,1,4] => [7,3,5,1,2,4,6] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,6,3,7,4,1] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 1
[5,2,6,4,1,3,7] => [6,3,7,5,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,4,1,7,3] => [6,3,1,5,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,2,6,4,3,1,7] => [7,3,6,5,2,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,2,6,4,3,7,1] => [1,3,6,5,2,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,2,6,4,7,1,3] => [7,3,1,5,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,4,7,3,1] => [1,3,7,5,2,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,2,6,7,1,3,4] => [6,3,7,1,2,4,5] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[5,2,6,7,1,4,3] => [6,3,1,7,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,7,3,1,4] => [7,3,6,1,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,6,7,3,4,1] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,2,6,7,4,1,3] => [7,3,1,6,2,4,5] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,2,6,7,4,3,1] => [1,3,7,6,2,4,5] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[5,2,7,1,3,4,6] => [5,3,6,7,2,1,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,2,7,1,3,6,4] => [5,3,6,1,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,1,4,3,6] => [5,3,7,6,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,1,4,6,3] => [5,3,1,6,2,7,4] => {{1,2,3,5},{4,6,7}} => {{1,4},{2},{3,5},{6},{7}} => 0
[5,2,7,1,6,3,4] => [5,3,7,1,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,7,1,6,4,3] => [5,3,1,7,2,6,4] => {{1,2,3,5},{4,7},{6}} => {{1,4},{2,3,5},{6},{7}} => 1
[5,2,7,3,1,4,6] => [6,3,5,7,2,1,4] => {{1,6},{2,3,5},{4,7}} => {{1,4},{2,7},{3,5},{6}} => 0
[5,2,7,3,1,6,4] => [6,3,5,1,2,7,4] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,7,3,4,1,6] => [7,3,5,6,2,1,4] => {{1,4,6,7},{2,3,5}} => {{1},{2},{3,5},{4,7},{6}} => 0
[5,2,7,3,4,6,1] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1,4,7},{2},{3,5},{6}} => 1
[5,2,7,3,6,1,4] => [7,3,5,1,2,6,4] => {{1,4,7},{2,3,5},{6}} => {{1},{2,3,5},{4,7},{6}} => 1
[5,2,7,3,6,4,1] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1,4,7},{2,3,5},{6}} => 2
[5,2,7,4,1,3,6] => [6,3,7,5,2,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,2,7,4,1,6,3] => [6,3,1,5,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,4,3,1,6] => [7,3,6,5,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,4,3,6,1] => [1,3,6,5,2,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,2,7,4,6,1,3] => [7,3,1,5,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,2,7,4,6,3,1] => [1,3,7,5,2,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,2,7,6,1,3,4] => [6,3,7,1,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,6,1,4,3] => [6,3,1,7,2,5,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,2,7,6,3,1,4] => [7,3,6,1,2,5,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[5,2,7,6,3,4,1] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[5,2,7,6,4,1,3] => [7,3,1,6,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,2,7,6,4,3,1] => [1,3,7,6,2,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,3,1,2,4,6,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,1,2,4,7,6] => [4,5,3,6,2,1,7] => {{1,4,6},{2,5},{3},{7}} => {{1,2},{3,5,6},{4,7}} => 2
[5,3,1,2,6,4,7] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}} => 2
[5,3,1,2,6,7,4] => [4,5,3,1,2,6,7] => {{1,4},{2,5},{3},{6},{7}} => {{1,2,3,5,6},{4,7}} => 3
[5,3,1,2,7,4,6] => [4,5,3,7,2,1,6] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,1,2,7,6,4] => [4,5,3,1,2,7,6] => {{1,4},{2,5},{3},{6,7}} => {{1,3,5,6},{2},{4,7}} => 1
[5,3,1,4,2,6,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,4,2,7,6] => [4,6,3,5,2,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,1,4,6,2,7] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,1,4,6,7,2] => [4,1,3,5,2,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[5,3,1,4,7,2,6] => [4,7,3,5,2,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,4,7,6,2] => [4,1,3,5,2,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[5,3,1,6,2,4,7] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 1
[5,3,1,6,2,7,4] => [4,6,3,1,2,5,7] => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 2
[5,3,1,6,4,2,7] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,6,4,7,2] => [4,1,3,6,2,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,1,6,7,2,4] => [4,7,3,1,2,5,6] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[5,3,1,6,7,4,2] => [4,1,3,7,2,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,7,2,4,6] => [4,6,3,7,2,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,7,2,6,4] => [4,6,3,1,2,7,5] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[5,3,1,7,4,2,6] => [4,7,3,6,2,1,5] => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 1
[5,3,1,7,4,6,2] => [4,1,3,6,2,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,1,7,6,2,4] => [4,7,3,1,2,6,5] => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 2
[5,3,1,7,6,4,2] => [4,1,3,7,2,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,2,1,4,6,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,1,4,7,6] => [5,4,3,6,2,1,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,2,1,6,4,7] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,2,1,6,7,4] => [5,4,3,1,2,6,7] => {{1,2,4,5},{3},{6},{7}} => {{1,2,3},{4},{5,6},{7}} => 3
[5,3,2,1,7,4,6] => [5,4,3,7,2,1,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,1,7,6,4] => [5,4,3,1,2,7,6] => {{1,2,4,5},{3},{6,7}} => {{1,3},{2},{4},{5,6},{7}} => 1
[5,3,2,4,1,6,7] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 1
[5,3,2,4,1,7,6] => [6,4,3,5,2,1,7] => {{1,6},{2,4,5},{3},{7}} => {{1,2},{3,7},{4},{5,6}} => 2
[5,3,2,4,6,1,7] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}} => {{1},{2,3,7},{4},{5,6}} => 2
[5,3,2,4,6,7,1] => [1,4,3,5,2,6,7] => {{1},{2,4,5},{3},{6},{7}} => {{1,2,3,7},{4},{5,6}} => 4
[5,3,2,4,7,1,6] => [7,4,3,5,2,1,6] => {{1,6,7},{2,4,5},{3}} => {{1},{2},{3,7},{4},{5,6}} => 1
[5,3,2,4,7,6,1] => [1,4,3,5,2,7,6] => {{1},{2,4,5},{3},{6,7}} => {{1,3,7},{2},{4},{5,6}} => 2
[5,3,2,6,1,4,7] => [6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,6,1,7,4] => [6,4,3,1,2,5,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,2,6,4,1,7] => [7,4,3,6,2,5,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[5,3,2,6,4,7,1] => [1,4,3,6,2,5,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[5,3,2,6,7,1,4] => [7,4,3,1,2,5,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,6,7,4,1] => [1,4,3,7,2,5,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,3,2,7,1,4,6] => [6,4,3,7,2,1,5] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[5,3,2,7,1,6,4] => [6,4,3,1,2,7,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,7,4,1,6] => [7,4,3,6,2,1,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,2,7,4,6,1] => [1,4,3,6,2,7,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,3,2,7,6,1,4] => [7,4,3,1,2,6,5] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,2,7,6,4,1] => [1,4,3,7,2,6,5] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,3,4,1,2,6,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,1,2,7,6] => [5,6,3,4,2,1,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[5,3,4,1,6,2,7] => [5,7,3,4,2,6,1] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[5,3,4,1,6,7,2] => [5,1,3,4,2,6,7] => {{1,2,5},{3},{4},{6},{7}} => {{1,2,3},{4,5,6},{7}} => 4
[5,3,4,1,7,2,6] => [5,7,3,4,2,1,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,1,7,6,2] => [5,1,3,4,2,7,6] => {{1,2,5},{3},{4},{6,7}} => {{1,3},{2},{4,5,6},{7}} => 2
[5,3,4,2,1,6,7] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 2
[5,3,4,2,1,7,6] => [6,5,3,4,2,1,7] => {{1,6},{2,5},{3},{4},{7}} => {{1,2},{3,7},{4,5,6}} => 3
[5,3,4,2,6,1,7] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}} => {{1},{2,3,7},{4,5,6}} => 3
[5,3,4,2,6,7,1] => [1,5,3,4,2,6,7] => {{1},{2,5},{3},{4},{6},{7}} => {{1,2,3,7},{4,5,6}} => 5
[5,3,4,2,7,1,6] => [7,5,3,4,2,1,6] => {{1,6,7},{2,5},{3},{4}} => {{1},{2},{3,7},{4,5,6}} => 2
[5,3,4,2,7,6,1] => [1,5,3,4,2,7,6] => {{1},{2,5},{3},{4},{6,7}} => {{1,3,7},{2},{4,5,6}} => 3
[5,3,4,6,1,2,7] => [6,7,3,4,2,5,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,6,1,7,2] => [6,1,3,4,2,5,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[5,3,4,6,2,1,7] => [7,6,3,4,2,5,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 2
[5,3,4,6,2,7,1] => [1,6,3,4,2,5,7] => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 4
[5,3,4,6,7,1,2] => [7,1,3,4,2,5,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,6,7,2,1] => [1,7,3,4,2,5,6] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[5,3,4,7,1,2,6] => [6,7,3,4,2,1,5] => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 2
[5,3,4,7,1,6,2] => [6,1,3,4,2,7,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,7,2,1,6] => [7,6,3,4,2,1,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[5,3,4,7,2,6,1] => [1,6,3,4,2,7,5] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[5,3,4,7,6,1,2] => [7,1,3,4,2,6,5] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[5,3,4,7,6,2,1] => [1,7,3,4,2,6,5] => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 4
[5,3,6,1,2,4,7] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,1,2,7,4] => [5,6,3,1,2,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,6,1,4,2,7] => [5,7,3,6,2,4,1] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[5,3,6,1,4,7,2] => [5,1,3,6,2,4,7] => {{1,2,5},{3},{4,6},{7}} => {{1,2,4},{3,5,6},{7}} => 2
[5,3,6,1,7,2,4] => [5,7,3,1,2,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,1,7,4,2] => [5,1,3,7,2,4,6] => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 1
[5,3,6,2,1,4,7] => [6,5,3,7,2,4,1] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,6,2,1,7,4] => [6,5,3,1,2,4,7] => {{1,4,6},{2,5},{3},{7}} => {{1,2},{3,5,6},{4,7}} => 2
[5,3,6,2,4,1,7] => [7,5,3,6,2,4,1] => {{1,7},{2,5},{3},{4,6}} => {{1},{2,4,7},{3,5,6}} => 1
[5,3,6,2,4,7,1] => [1,5,3,6,2,4,7] => {{1},{2,5},{3},{4,6},{7}} => {{1,2,4,7},{3,5,6}} => 3
[5,3,6,2,7,1,4] => [7,5,3,1,2,4,6] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,6,2,7,4,1] => [1,5,3,7,2,4,6] => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 2
[5,3,6,4,1,2,7] => [6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,4,1,7,2] => [6,1,3,5,2,4,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[5,3,6,4,2,1,7] => [7,6,3,5,2,4,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[5,3,6,4,2,7,1] => [1,6,3,5,2,4,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[5,3,6,4,7,1,2] => [7,1,3,5,2,4,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,4,7,2,1] => [1,7,3,5,2,4,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,3,6,7,1,2,4] => [6,7,3,1,2,4,5] => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 1
[5,3,6,7,1,4,2] => [6,1,3,7,2,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,7,2,1,4] => [7,6,3,1,2,4,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,6,7,2,4,1] => [1,6,3,7,2,4,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,3,6,7,4,1,2] => [7,1,3,6,2,4,5] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[5,3,6,7,4,2,1] => [1,7,3,6,2,4,5] => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 2
[5,3,7,1,2,4,6] => [5,6,3,7,2,1,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[5,3,7,1,2,6,4] => [5,6,3,1,2,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,1,4,2,6] => [5,7,3,6,2,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,1,4,6,2] => [5,1,3,6,2,7,4] => {{1,2,5},{3},{4,6,7}} => {{1,4},{2},{3,5,6},{7}} => 1
[5,3,7,1,6,2,4] => [5,7,3,1,2,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,7,1,6,4,2] => [5,1,3,7,2,6,4] => {{1,2,5},{3},{4,7},{6}} => {{1,4},{2,3,5,6},{7}} => 2
[5,3,7,2,1,4,6] => [6,5,3,7,2,1,4] => {{1,6},{2,5},{3},{4,7}} => {{1,4},{2,7},{3,5,6}} => 1
[5,3,7,2,1,6,4] => [6,5,3,1,2,7,4] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,7,2,4,1,6] => [7,5,3,6,2,1,4] => {{1,4,6,7},{2,5},{3}} => {{1},{2},{3,5,6},{4,7}} => 1
[5,3,7,2,4,6,1] => [1,5,3,6,2,7,4] => {{1},{2,5},{3},{4,6,7}} => {{1,4,7},{2},{3,5,6}} => 2
[5,3,7,2,6,1,4] => [7,5,3,1,2,6,4] => {{1,4,7},{2,5},{3},{6}} => {{1},{2,3,5,6},{4,7}} => 2
[5,3,7,2,6,4,1] => [1,5,3,7,2,6,4] => {{1},{2,5},{3},{4,7},{6}} => {{1,4,7},{2,3,5,6}} => 3
[5,3,7,4,1,2,6] => [6,7,3,5,2,1,4] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[5,3,7,4,1,6,2] => [6,1,3,5,2,7,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,4,2,1,6] => [7,6,3,5,2,1,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,4,2,6,1] => [1,6,3,5,2,7,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,3,7,4,6,1,2] => [7,1,3,5,2,6,4] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[5,3,7,4,6,2,1] => [1,7,3,5,2,6,4] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[5,3,7,6,1,2,4] => [6,7,3,1,2,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,6,1,4,2] => [6,1,3,7,2,5,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[5,3,7,6,2,1,4] => [7,6,3,1,2,5,4] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 1
[5,3,7,6,2,4,1] => [1,6,3,7,2,5,4] => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 2
[5,3,7,6,4,1,2] => [7,1,3,6,2,5,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[5,3,7,6,4,2,1] => [1,7,3,6,2,5,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[5,4,1,2,3,6,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,1,2,3,7,6] => [4,5,6,3,2,1,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,4,1,2,6,3,7] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,4,1,2,6,7,3] => [4,5,1,3,2,6,7] => {{1,3,4},{2,5},{6},{7}} => {{1,2,3,6},{4,7},{5}} => 2
[5,4,1,2,7,3,6] => [4,5,7,3,2,1,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,1,2,7,6,3] => [4,5,1,3,2,7,6] => {{1,3,4},{2,5},{6,7}} => {{1,3,6},{2},{4,7},{5}} => 0
[5,4,1,3,2,6,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,3,2,7,6] => [4,6,5,3,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,1,3,6,2,7] => [4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,1,3,6,7,2] => [4,1,5,3,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,4,1,3,7,2,6] => [4,7,5,3,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,3,7,6,2] => [4,1,5,3,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,4,1,6,2,3,7] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,4,1,6,2,7,3] => [4,6,1,3,2,5,7] => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 1
[5,4,1,6,3,2,7] => [4,7,6,3,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,6,3,7,2] => [4,1,6,3,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,1,6,7,2,3] => [4,7,1,3,2,5,6] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[5,4,1,6,7,3,2] => [4,1,7,3,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,7,2,3,6] => [4,6,7,3,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,7,2,6,3] => [4,6,1,3,2,7,5] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[5,4,1,7,3,2,6] => [4,7,6,3,2,1,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,4,1,7,3,6,2] => [4,1,6,3,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,1,7,6,2,3] => [4,7,1,3,2,6,5] => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 1
[5,4,1,7,6,3,2] => [4,1,7,3,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,2,1,3,6,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,1,3,7,6] => [5,4,6,3,2,1,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,2,1,6,3,7] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,2,1,6,7,3] => [5,4,1,3,2,6,7] => {{1,2,3,4,5},{6},{7}} => {{1,2,3},{4},{5},{6},{7}} => 2
[5,4,2,1,7,3,6] => [5,4,7,3,2,1,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,1,7,6,3] => [5,4,1,3,2,7,6] => {{1,2,3,4,5},{6,7}} => {{1,3},{2},{4},{5},{6},{7}} => 0
[5,4,2,3,1,6,7] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[5,4,2,3,1,7,6] => [6,4,5,3,2,1,7] => {{1,6},{2,3,4,5},{7}} => {{1,2},{3,7},{4},{5},{6}} => 1
[5,4,2,3,6,1,7] => [7,4,5,3,2,6,1] => {{1,7},{2,3,4,5},{6}} => {{1},{2,3,7},{4},{5},{6}} => 1
[5,4,2,3,6,7,1] => [1,4,5,3,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1,2,3,7},{4},{5},{6}} => 3
[5,4,2,3,7,1,6] => [7,4,5,3,2,1,6] => {{1,6,7},{2,3,4,5}} => {{1},{2},{3,7},{4},{5},{6}} => 0
[5,4,2,3,7,6,1] => [1,4,5,3,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1,3,7},{2},{4},{5},{6}} => 1
[5,4,2,6,1,3,7] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,6,1,7,3] => [6,4,1,3,2,5,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,2,6,3,1,7] => [7,4,6,3,2,5,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,4,2,6,3,7,1] => [1,4,6,3,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,4,2,6,7,1,3] => [7,4,1,3,2,5,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,6,7,3,1] => [1,4,7,3,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,4,2,7,1,3,6] => [6,4,7,3,2,1,5] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,4,2,7,1,6,3] => [6,4,1,3,2,7,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,7,3,1,6] => [7,4,6,3,2,1,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,2,7,3,6,1] => [1,4,6,3,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,4,2,7,6,1,3] => [7,4,1,3,2,6,5] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,2,7,6,3,1] => [1,4,7,3,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,4,3,1,2,6,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,1,2,7,6] => [5,6,4,3,2,1,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[5,4,3,1,6,2,7] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[5,4,3,1,6,7,2] => [5,1,4,3,2,6,7] => {{1,2,5},{3,4},{6},{7}} => {{1,2,3},{4,6},{5},{7}} => 2
[5,4,3,1,7,2,6] => [5,7,4,3,2,1,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,1,7,6,2] => [5,1,4,3,2,7,6] => {{1,2,5},{3,4},{6,7}} => {{1,3},{2},{4,6},{5},{7}} => 0
[5,4,3,2,1,6,7] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 0
[5,4,3,2,1,7,6] => [6,5,4,3,2,1,7] => {{1,6},{2,5},{3,4},{7}} => {{1,2},{3,7},{4,6},{5}} => 1
[5,4,3,2,6,1,7] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}} => {{1},{2,3,7},{4,6},{5}} => 1
[5,4,3,2,6,7,1] => [1,5,4,3,2,6,7] => {{1},{2,5},{3,4},{6},{7}} => {{1,2,3,7},{4,6},{5}} => 3
[5,4,3,2,7,1,6] => [7,5,4,3,2,1,6] => {{1,6,7},{2,5},{3,4}} => {{1},{2},{3,7},{4,6},{5}} => 0
[5,4,3,2,7,6,1] => [1,5,4,3,2,7,6] => {{1},{2,5},{3,4},{6,7}} => {{1,3,7},{2},{4,6},{5}} => 1
[5,4,3,6,1,2,7] => [6,7,4,3,2,5,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,6,1,7,2] => [6,1,4,3,2,5,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[5,4,3,6,2,1,7] => [7,6,4,3,2,5,1] => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 0
[5,4,3,6,2,7,1] => [1,6,4,3,2,5,7] => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 2
[5,4,3,6,7,1,2] => [7,1,4,3,2,5,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,6,7,2,1] => [1,7,4,3,2,5,6] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[5,4,3,7,1,2,6] => [6,7,4,3,2,1,5] => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 0
[5,4,3,7,1,6,2] => [6,1,4,3,2,7,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,7,2,1,6] => [7,6,4,3,2,1,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[5,4,3,7,2,6,1] => [1,6,4,3,2,7,5] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[5,4,3,7,6,1,2] => [7,1,4,3,2,6,5] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[5,4,3,7,6,2,1] => [1,7,4,3,2,6,5] => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 2
[5,4,6,1,2,3,7] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,1,2,7,3] => [5,6,1,3,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,6,1,3,2,7] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[5,4,6,1,3,7,2] => [5,1,6,3,2,4,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 1
[5,4,6,1,7,2,3] => [5,7,1,3,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,1,7,3,2] => [5,1,7,3,2,4,6] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,4,6,2,1,3,7] => [6,5,7,3,2,4,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,6,2,1,7,3] => [6,5,1,3,2,4,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,4,6,2,3,1,7] => [7,5,6,3,2,4,1] => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 0
[5,4,6,2,3,7,1] => [1,5,6,3,2,4,7] => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 2
[5,4,6,2,7,1,3] => [7,5,1,3,2,4,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,6,2,7,3,1] => [1,5,7,3,2,4,6] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,4,6,3,1,2,7] => [6,7,5,3,2,4,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,3,1,7,2] => [6,1,5,3,2,4,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,4,6,3,2,1,7] => [7,6,5,3,2,4,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,4,6,3,2,7,1] => [1,6,5,3,2,4,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,4,6,3,7,1,2] => [7,1,5,3,2,4,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,3,7,2,1] => [1,7,5,3,2,4,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,4,6,7,1,2,3] => [6,7,1,3,2,4,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,4,6,7,1,3,2] => [6,1,7,3,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,7,2,1,3] => [7,6,1,3,2,4,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,6,7,2,3,1] => [1,6,7,3,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,4,6,7,3,1,2] => [7,1,6,3,2,4,5] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[5,4,6,7,3,2,1] => [1,7,6,3,2,4,5] => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 1
[5,4,7,1,2,3,6] => [5,6,7,3,2,1,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[5,4,7,1,2,6,3] => [5,6,1,3,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,1,3,2,6] => [5,7,6,3,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,1,3,6,2] => [5,1,6,3,2,7,4] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,4,7,1,6,2,3] => [5,7,1,3,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,7,1,6,3,2] => [5,1,7,3,2,6,4] => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 1
[5,4,7,2,1,3,6] => [6,5,7,3,2,1,4] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 0
[5,4,7,2,1,6,3] => [6,5,1,3,2,7,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,7,2,3,1,6] => [7,5,6,3,2,1,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,4,7,2,3,6,1] => [1,5,6,3,2,7,4] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,4,7,2,6,1,3] => [7,5,1,3,2,6,4] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,4,7,2,6,3,1] => [1,5,7,3,2,6,4] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 2
[5,4,7,3,1,2,6] => [6,7,5,3,2,1,4] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,4,7,3,1,6,2] => [6,1,5,3,2,7,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,3,2,1,6] => [7,6,5,3,2,1,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,3,2,6,1] => [1,6,5,3,2,7,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,4,7,3,6,1,2] => [7,1,5,3,2,6,4] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,4,7,3,6,2,1] => [1,7,5,3,2,6,4] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,4,7,6,1,2,3] => [6,7,1,3,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,6,1,3,2] => [6,1,7,3,2,5,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[5,4,7,6,2,1,3] => [7,6,1,3,2,5,4] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,4,7,6,2,3,1] => [1,6,7,3,2,5,4] => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 1
[5,4,7,6,3,1,2] => [7,1,6,3,2,5,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,4,7,6,3,2,1] => [1,7,6,3,2,5,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,1,2,3,4,7] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => {{1},{2,5},{3,6},{4,7}} => 0
[5,6,1,2,3,7,4] => [4,5,6,1,2,3,7] => {{1,4},{2,5},{3,6},{7}} => {{1,2,5},{3,6},{4,7}} => 1
[5,6,1,2,4,3,7] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,1,2,4,7,3] => [4,5,1,6,2,3,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,6,1,2,7,3,4] => [4,5,7,1,2,3,6] => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 0
[5,6,1,2,7,4,3] => [4,5,1,7,2,3,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,1,3,2,4,7] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[5,6,1,3,2,7,4] => [4,6,5,1,2,3,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[5,6,1,3,4,2,7] => [4,7,5,6,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,1,3,4,7,2] => [4,1,5,6,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,1,3,7,2,4] => [4,7,5,1,2,3,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,6,1,3,7,4,2] => [4,1,5,7,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,1,4,2,3,7] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,1,4,2,7,3] => [4,6,1,5,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,1,4,3,2,7] => [4,7,6,5,2,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,1,4,3,7,2] => [4,1,6,5,2,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[5,6,1,4,7,2,3] => [4,7,1,5,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,1,4,7,3,2] => [4,1,7,5,2,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[5,6,1,7,2,3,4] => [4,6,7,1,2,3,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,6,1,7,2,4,3] => [4,6,1,7,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,1,7,3,2,4] => [4,7,6,1,2,3,5] => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 0
[5,6,1,7,3,4,2] => [4,1,6,7,2,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,1,7,4,2,3] => [4,7,1,6,2,3,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,6,1,7,4,3,2] => [4,1,7,6,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,1,3,4,7] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,2,1,3,7,4] => [5,4,6,1,2,3,7] => {{1,2,4,5},{3,6},{7}} => {{1,2,5},{3,6},{4},{7}} => 1
[5,6,2,1,4,3,7] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,1,4,7,3] => [5,4,1,6,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,2,1,7,3,4] => [5,4,7,1,2,3,6] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[5,6,2,1,7,4,3] => [5,4,1,7,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,3,1,4,7] => [6,4,5,7,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,3,1,7,4] => [6,4,5,1,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,2,3,4,1,7] => [7,4,5,6,2,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,6,2,3,4,7,1] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,6,2,3,7,1,4] => [7,4,5,1,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,3,7,4,1] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,2,4,1,3,7] => [6,4,7,5,2,3,1] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,6,2,4,1,7,3] => [6,4,1,5,2,3,7] => {{1,3,6},{2,4,5},{7}} => {{1,2},{3,6},{4},{5,7}} => 1
[5,6,2,4,3,1,7] => [7,4,6,5,2,3,1] => {{1,7},{2,4,5},{3,6}} => {{1},{2,5,7},{3,6},{4}} => 0
[5,6,2,4,3,7,1] => [1,4,6,5,2,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1,2,5,7},{3,6},{4}} => 2
[5,6,2,4,7,1,3] => [7,4,1,5,2,3,6] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,6,2,4,7,3,1] => [1,4,7,5,2,3,6] => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 1
[5,6,2,7,1,3,4] => [6,4,7,1,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,7,1,4,3] => [6,4,1,7,2,3,5] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[5,6,2,7,3,1,4] => [7,4,6,1,2,3,5] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,2,7,3,4,1] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[5,6,2,7,4,1,3] => [7,4,1,6,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,2,7,4,3,1] => [1,4,7,6,2,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,3,1,2,4,7] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,1,2,7,4] => [5,6,4,1,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,3,1,4,2,7] => [5,7,4,6,2,3,1] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[5,6,3,1,4,7,2] => [5,1,4,6,2,3,7] => {{1,2,5},{3,4,6},{7}} => {{1,2,4},{3,6},{5},{7}} => 1
[5,6,3,1,7,2,4] => [5,7,4,1,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,1,7,4,2] => [5,1,4,7,2,3,6] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,6,3,2,1,4,7] => [6,5,4,7,2,3,1] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,3,2,1,7,4] => [6,5,4,1,2,3,7] => {{1,3,4,6},{2,5},{7}} => {{1,2},{3,6},{4,7},{5}} => 1
[5,6,3,2,4,1,7] => [7,5,4,6,2,3,1] => {{1,7},{2,5},{3,4,6}} => {{1},{2,4,7},{3,6},{5}} => 0
[5,6,3,2,4,7,1] => [1,5,4,6,2,3,7] => {{1},{2,5},{3,4,6},{7}} => {{1,2,4,7},{3,6},{5}} => 2
[5,6,3,2,7,1,4] => [7,5,4,1,2,3,6] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,3,2,7,4,1] => [1,5,4,7,2,3,6] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,6,3,4,1,2,7] => [6,7,4,5,2,3,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,4,1,7,2] => [6,1,4,5,2,3,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[5,6,3,4,2,1,7] => [7,6,4,5,2,3,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[5,6,3,4,2,7,1] => [1,6,4,5,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[5,6,3,4,7,1,2] => [7,1,4,5,2,3,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,4,7,2,1] => [1,7,4,5,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,3,7,1,2,4] => [6,7,4,1,2,3,5] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[5,6,3,7,1,4,2] => [6,1,4,7,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,7,2,1,4] => [7,6,4,1,2,3,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,3,7,2,4,1] => [1,6,4,7,2,3,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,3,7,4,1,2] => [7,1,4,6,2,3,5] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[5,6,3,7,4,2,1] => [1,7,4,6,2,3,5] => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 1
[5,6,4,1,2,3,7] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,1,2,7,3] => [5,6,1,4,2,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,6,4,1,3,2,7] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[5,6,4,1,3,7,2] => [5,1,6,4,2,3,7] => {{1,2,5},{3,6},{4},{7}} => {{1,2,4,5},{3,6},{7}} => 2
[5,6,4,1,7,2,3] => [5,7,1,4,2,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,1,7,3,2] => [5,1,7,4,2,3,6] => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 1
[5,6,4,2,1,3,7] => [6,5,7,4,2,3,1] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,6,4,2,1,7,3] => [6,5,1,4,2,3,7] => {{1,3,6},{2,5},{4},{7}} => {{1,2},{3,6},{4,5,7}} => 2
[5,6,4,2,3,1,7] => [7,5,6,4,2,3,1] => {{1,7},{2,5},{3,6},{4}} => {{1},{2,4,5,7},{3,6}} => 1
[5,6,4,2,3,7,1] => [1,5,6,4,2,3,7] => {{1},{2,5},{3,6},{4},{7}} => {{1,2,4,5,7},{3,6}} => 3
[5,6,4,2,7,1,3] => [7,5,1,4,2,3,6] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,6,4,2,7,3,1] => [1,5,7,4,2,3,6] => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 2
[5,6,4,3,1,2,7] => [6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,3,1,7,2] => [6,1,5,4,2,3,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[5,6,4,3,2,1,7] => [7,6,5,4,2,3,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[5,6,4,3,2,7,1] => [1,6,5,4,2,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[5,6,4,3,7,1,2] => [7,1,5,4,2,3,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,3,7,2,1] => [1,7,5,4,2,3,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,6,4,7,1,2,3] => [6,7,1,4,2,3,5] => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 1
[5,6,4,7,1,3,2] => [6,1,7,4,2,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,7,2,1,3] => [7,6,1,4,2,3,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,6,4,7,2,3,1] => [1,6,7,4,2,3,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,6,4,7,3,1,2] => [7,1,6,4,2,3,5] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[5,6,4,7,3,2,1] => [1,7,6,4,2,3,5] => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 2
[5,6,7,1,2,3,4] => [5,6,7,1,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,1,2,4,3] => [5,6,1,7,2,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,6,7,1,3,2,4] => [5,7,6,1,2,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,7,1,3,4,2] => [5,1,6,7,2,3,4] => {{1,2,5},{3,6},{4,7}} => {{1,4},{2,5},{3,6},{7}} => 0
[5,6,7,1,4,2,3] => [5,7,1,6,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,1,4,3,2] => [5,1,7,6,2,3,4] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,6,7,2,1,3,4] => [6,5,7,1,2,3,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,7,2,1,4,3] => [6,5,1,7,2,3,4] => {{1,3,6},{2,5},{4,7}} => {{1,4},{2,5,7},{3,6}} => 0
[5,6,7,2,3,1,4] => [7,5,6,1,2,3,4] => {{1,4,7},{2,5},{3,6}} => {{1},{2,5},{3,6},{4,7}} => 0
[5,6,7,2,3,4,1] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1,4,7},{2,5},{3,6}} => 1
[5,6,7,2,4,1,3] => [7,5,1,6,2,3,4] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,6,7,2,4,3,1] => [1,5,7,6,2,3,4] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,6,7,3,1,2,4] => [6,7,5,1,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,3,1,4,2] => [6,1,5,7,2,3,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[5,6,7,3,2,1,4] => [7,6,5,1,2,3,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[5,6,7,3,2,4,1] => [1,6,5,7,2,3,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[5,6,7,3,4,1,2] => [7,1,5,6,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,3,4,2,1] => [1,7,5,6,2,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,7,4,1,2,3] => [6,7,1,5,2,3,4] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[5,6,7,4,1,3,2] => [6,1,7,5,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,4,2,1,3] => [7,6,1,5,2,3,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,6,7,4,2,3,1] => [1,6,7,5,2,3,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,6,7,4,3,1,2] => [7,1,6,5,2,3,4] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[5,6,7,4,3,2,1] => [1,7,6,5,2,3,4] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[5,7,1,2,3,4,6] => [4,5,6,7,2,1,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,1,2,3,6,4] => [4,5,6,1,2,7,3] => {{1,4},{2,5},{3,6,7}} => {{1,5},{2},{3,6},{4,7}} => 0
[5,7,1,2,4,3,6] => [4,5,7,6,2,1,3] => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 0
[5,7,1,2,4,6,3] => [4,5,1,6,2,7,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,1,2,6,3,4] => [4,5,7,1,2,6,3] => {{1,4},{2,5},{3,7},{6}} => {{1,5},{2,3,6},{4,7}} => 1
[5,7,1,2,6,4,3] => [4,5,1,7,2,6,3] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,7,1,3,2,4,6] => [4,6,5,7,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,3,2,6,4] => [4,6,5,1,2,7,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,7,1,3,4,2,6] => [4,7,5,6,2,1,3] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[5,7,1,3,4,6,2] => [4,1,5,6,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,3,6,2,4] => [4,7,5,1,2,6,3] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[5,7,1,3,6,4,2] => [4,1,5,7,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,1,4,2,3,6] => [4,6,7,5,2,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,1,4,2,6,3] => [4,6,1,5,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,4,3,2,6] => [4,7,6,5,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,4,3,6,2] => [4,1,6,5,2,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[5,7,1,4,6,2,3] => [4,7,1,5,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,1,4,6,3,2] => [4,1,7,5,2,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[5,7,1,6,2,3,4] => [4,6,7,1,2,5,3] => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 0
[5,7,1,6,2,4,3] => [4,6,1,7,2,5,3] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,7,1,6,3,2,4] => [4,7,6,1,2,5,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[5,7,1,6,3,4,2] => [4,1,6,7,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,6,4,2,3] => [4,7,1,6,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,1,6,4,3,2] => [4,1,7,6,2,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,2,1,3,4,6] => [5,4,6,7,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,1,3,6,4] => [5,4,6,1,2,7,3] => {{1,2,4,5},{3,6,7}} => {{1,5},{2},{3,6},{4},{7}} => 0
[5,7,2,1,4,3,6] => [5,4,7,6,2,1,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,2,1,4,6,3] => [5,4,1,6,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,1,6,3,4] => [5,4,7,1,2,6,3] => {{1,2,4,5},{3,7},{6}} => {{1,5},{2,3,6},{4},{7}} => 1
[5,7,2,1,6,4,3] => [5,4,1,7,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,2,3,1,4,6] => [6,4,5,7,2,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,7,2,3,1,6,4] => [6,4,5,1,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,3,4,1,6] => [7,4,5,6,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,3,4,6,1] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,7,2,3,6,1,4] => [7,4,5,1,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,2,3,6,4,1] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,7,2,4,1,3,6] => [6,4,7,5,2,1,3] => {{1,6},{2,4,5},{3,7}} => {{1,5},{2,7},{3,6},{4}} => 0
[5,7,2,4,1,6,3] => [6,4,1,5,2,7,3] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,7,2,4,3,1,6] => [7,4,6,5,2,1,3] => {{1,3,6,7},{2,4,5}} => {{1},{2},{3,6},{4},{5,7}} => 0
[5,7,2,4,3,6,1] => [1,4,6,5,2,7,3] => {{1},{2,4,5},{3,6,7}} => {{1,5,7},{2},{3,6},{4}} => 1
[5,7,2,4,6,1,3] => [7,4,1,5,2,6,3] => {{1,3,7},{2,4,5},{6}} => {{1},{2,3,6},{4},{5,7}} => 1
[5,7,2,4,6,3,1] => [1,4,7,5,2,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1,5,7},{2,3,6},{4}} => 2
[5,7,2,6,1,3,4] => [6,4,7,1,2,5,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,2,6,1,4,3] => [6,4,1,7,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,6,3,1,4] => [7,4,6,1,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,2,6,3,4,1] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,7,2,6,4,1,3] => [7,4,1,6,2,5,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[5,7,2,6,4,3,1] => [1,4,7,6,2,5,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[5,7,3,1,2,4,6] => [5,6,4,7,2,1,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[5,7,3,1,2,6,4] => [5,6,4,1,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,1,4,2,6] => [5,7,4,6,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,1,4,6,2] => [5,1,4,6,2,7,3] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,7,3,1,6,2,4] => [5,7,4,1,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,3,1,6,4,2] => [5,1,4,7,2,6,3] => {{1,2,5},{3,4,7},{6}} => {{1,4},{2,3,6},{5},{7}} => 1
[5,7,3,2,1,4,6] => [6,5,4,7,2,1,3] => {{1,6},{2,5},{3,4,7}} => {{1,4},{2,7},{3,6},{5}} => 0
[5,7,3,2,1,6,4] => [6,5,4,1,2,7,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,3,2,4,1,6] => [7,5,4,6,2,1,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,3,2,4,6,1] => [1,5,4,6,2,7,3] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,7,3,2,6,1,4] => [7,5,4,1,2,6,3] => {{1,3,4,7},{2,5},{6}} => {{1},{2,3,6},{4,7},{5}} => 1
[5,7,3,2,6,4,1] => [1,5,4,7,2,6,3] => {{1},{2,5},{3,4,7},{6}} => {{1,4,7},{2,3,6},{5}} => 2
[5,7,3,4,1,2,6] => [6,7,4,5,2,1,3] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[5,7,3,4,1,6,2] => [6,1,4,5,2,7,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,4,2,1,6] => [7,6,4,5,2,1,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,4,2,6,1] => [1,6,4,5,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,7,3,4,6,1,2] => [7,1,4,5,2,6,3] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[5,7,3,4,6,2,1] => [1,7,4,5,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[5,7,3,6,1,2,4] => [6,7,4,1,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,6,1,4,2] => [6,1,4,7,2,5,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[5,7,3,6,2,1,4] => [7,6,4,1,2,5,3] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[5,7,3,6,2,4,1] => [1,6,4,7,2,5,3] => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 1
[5,7,3,6,4,1,2] => [7,1,4,6,2,5,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,3,6,4,2,1] => [1,7,4,6,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,7,4,1,2,3,6] => [5,6,7,4,2,1,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[5,7,4,1,2,6,3] => [5,6,1,4,2,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,1,3,2,6] => [5,7,6,4,2,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,1,3,6,2] => [5,1,6,4,2,7,3] => {{1,2,5},{3,6,7},{4}} => {{1,4,5},{2},{3,6},{7}} => 1
[5,7,4,1,6,2,3] => [5,7,1,4,2,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,7,4,1,6,3,2] => [5,1,7,4,2,6,3] => {{1,2,5},{3,7},{4},{6}} => {{1,4,5},{2,3,6},{7}} => 2
[5,7,4,2,1,3,6] => [6,5,7,4,2,1,3] => {{1,6},{2,5},{3,7},{4}} => {{1,4,5},{2,7},{3,6}} => 1
[5,7,4,2,1,6,3] => [6,5,1,4,2,7,3] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,7,4,2,3,1,6] => [7,5,6,4,2,1,3] => {{1,3,6,7},{2,5},{4}} => {{1},{2},{3,6},{4,5,7}} => 1
[5,7,4,2,3,6,1] => [1,5,6,4,2,7,3] => {{1},{2,5},{3,6,7},{4}} => {{1,4,5,7},{2},{3,6}} => 2
[5,7,4,2,6,1,3] => [7,5,1,4,2,6,3] => {{1,3,7},{2,5},{4},{6}} => {{1},{2,3,6},{4,5,7}} => 2
[5,7,4,2,6,3,1] => [1,5,7,4,2,6,3] => {{1},{2,5},{3,7},{4},{6}} => {{1,4,5,7},{2,3,6}} => 3
[5,7,4,3,1,2,6] => [6,7,5,4,2,1,3] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[5,7,4,3,1,6,2] => [6,1,5,4,2,7,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,3,2,1,6] => [7,6,5,4,2,1,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,3,2,6,1] => [1,6,5,4,2,7,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,7,4,3,6,1,2] => [7,1,5,4,2,6,3] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[5,7,4,3,6,2,1] => [1,7,5,4,2,6,3] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[5,7,4,6,1,2,3] => [6,7,1,4,2,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,6,1,3,2] => [6,1,7,4,2,5,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[5,7,4,6,2,1,3] => [7,6,1,4,2,5,3] => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 1
[5,7,4,6,2,3,1] => [1,6,7,4,2,5,3] => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 2
[5,7,4,6,3,1,2] => [7,1,6,4,2,5,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[5,7,4,6,3,2,1] => [1,7,6,4,2,5,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[5,7,6,1,2,3,4] => [5,6,7,1,2,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,6,1,2,4,3] => [5,6,1,7,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,1,3,2,4] => [5,7,6,1,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,1,3,4,2] => [5,1,6,7,2,4,3] => {{1,2,5},{3,4,6,7}} => {{1,4},{2},{3,6},{5},{7}} => 0
[5,7,6,1,4,2,3] => [5,7,1,6,2,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,7,6,1,4,3,2] => [5,1,7,6,2,4,3] => {{1,2,5},{3,7},{4,6}} => {{1,5},{2,4},{3,6},{7}} => 0
[5,7,6,2,1,3,4] => [6,5,7,1,2,4,3] => {{1,4,6},{2,5},{3,7}} => {{1,5},{2,4,7},{3,6}} => 0
[5,7,6,2,1,4,3] => [6,5,1,7,2,4,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,6,2,3,1,4] => [7,5,6,1,2,4,3] => {{1,3,4,6,7},{2,5}} => {{1},{2},{3,6},{4,7},{5}} => 0
[5,7,6,2,3,4,1] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1,4,7},{2},{3,6},{5}} => 1
[5,7,6,2,4,1,3] => [7,5,1,6,2,4,3] => {{1,3,7},{2,5},{4,6}} => {{1},{2,4},{3,6},{5,7}} => 0
[5,7,6,2,4,3,1] => [1,5,7,6,2,4,3] => {{1},{2,5},{3,7},{4,6}} => {{1,5,7},{2,4},{3,6}} => 1
[5,7,6,3,1,2,4] => [6,7,5,1,2,4,3] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[5,7,6,3,1,4,2] => [6,1,5,7,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,3,2,1,4] => [7,6,5,1,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,3,2,4,1] => [1,6,5,7,2,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[5,7,6,3,4,1,2] => [7,1,5,6,2,4,3] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[5,7,6,3,4,2,1] => [1,7,5,6,2,4,3] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[5,7,6,4,1,2,3] => [6,7,1,5,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,4,1,3,2] => [6,1,7,5,2,4,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[5,7,6,4,2,1,3] => [7,6,1,5,2,4,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[5,7,6,4,2,3,1] => [1,6,7,5,2,4,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[5,7,6,4,3,1,2] => [7,1,6,5,2,4,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[5,7,6,4,3,2,1] => [1,7,6,5,2,4,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,1,2,3,4,5,7] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,1,2,3,4,7,5] => [3,4,5,6,1,2,7] => {{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}} => 1
[6,1,2,3,5,4,7] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,3,5,7,4] => [3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,2,3,7,4,5] => [3,4,5,7,1,2,6] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[6,1,2,3,7,5,4] => [3,4,5,1,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,4,3,5,7] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,4,3,7,5] => [3,4,6,5,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,2,4,5,3,7] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[6,1,2,4,5,7,3] => [3,4,1,5,6,2,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[6,1,2,4,7,3,5] => [3,4,7,5,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,4,7,5,3] => [3,4,1,5,7,2,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,2,5,3,4,7] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,1,2,5,3,7,4] => [3,4,6,1,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,1,2,5,4,3,7] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 1
[6,1,2,5,4,7,3] => [3,4,1,6,5,2,7] => {{1,3},{2,4,6},{5},{7}} => {{1,2,6},{3,4},{5,7}} => 2
[6,1,2,5,7,3,4] => [3,4,7,1,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,1,2,5,7,4,3] => [3,4,1,7,5,2,6] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[6,1,2,7,3,4,5] => [3,4,6,7,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,7,3,5,4] => [3,4,6,1,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,1,2,7,4,3,5] => [3,4,7,6,1,2,5] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,1,2,7,4,5,3] => [3,4,1,6,7,2,5] => {{1,3},{2,4,6},{5,7}} => {{1,3},{2,4,6},{5,7}} => 0
[6,1,2,7,5,3,4] => [3,4,7,1,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,2,7,5,4,3] => [3,4,1,7,6,2,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,3,2,4,5,7] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,3,2,4,7,5] => [3,5,4,6,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,3,2,5,4,7] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,1,3,2,5,7,4] => [3,5,4,1,6,2,7] => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 1
[6,1,3,2,7,4,5] => [3,5,4,7,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,3,2,7,5,4] => [3,5,4,1,7,2,6] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[6,1,3,4,2,5,7] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,3,4,2,7,5] => [3,6,4,5,1,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,1,3,4,5,2,7] => [3,7,4,5,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,3,4,5,7,2] => [3,1,4,5,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,3,4,7,2,5] => [3,7,4,5,1,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,1,3,4,7,5,2] => [3,1,4,5,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,3,5,2,4,7] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,1,3,5,2,7,4] => [3,6,4,1,5,2,7] => {{1,3,4},{2,6},{5},{7}} => {{1,2,6},{3,4,7},{5}} => 2
[6,1,3,5,4,2,7] => [3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,1,3,5,4,7,2] => [3,1,4,6,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,1,3,5,7,2,4] => [3,7,4,1,5,2,6] => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 1
[6,1,3,5,7,4,2] => [3,1,4,7,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,1,3,7,2,4,5] => [3,6,4,7,1,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,3,7,2,5,4] => [3,6,4,1,7,2,5] => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 0
[6,1,3,7,4,2,5] => [3,7,4,6,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,3,7,4,5,2] => [3,1,4,6,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,1,3,7,5,2,4] => [3,7,4,1,6,2,5] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[6,1,3,7,5,4,2] => [3,1,4,7,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,4,2,3,5,7] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,4,2,3,7,5] => [3,5,6,4,1,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,1,4,2,5,3,7] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 1
[6,1,4,2,5,7,3] => [3,5,1,4,6,2,7] => {{1,3},{2,5,6},{4},{7}} => {{1,2,6},{3},{4,5,7}} => 2
[6,1,4,2,7,3,5] => [3,5,7,4,1,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,4,2,7,5,3] => [3,5,1,4,7,2,6] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[6,1,4,3,2,5,7] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,1,4,3,2,7,5] => [3,6,5,4,1,2,7] => {{1,3,5},{2,6},{4},{7}} => {{1,2,6},{3,7},{4,5}} => 2
[6,1,4,3,5,2,7] => [3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,4,3,5,7,2] => [3,1,5,4,6,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,1,4,3,7,2,5] => [3,7,5,4,1,2,6] => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 1
[6,1,4,3,7,5,2] => [3,1,5,4,7,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,4,5,2,3,7] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,6},{3,4,5,7}} => 2
[6,1,4,5,2,7,3] => [3,6,1,4,5,2,7] => {{1,3},{2,6},{4},{5},{7}} => {{1,2,6},{3,4,5,7}} => 3
[6,1,4,5,3,2,7] => [3,7,6,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,1,4,5,3,7,2] => [3,1,6,4,5,2,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[6,1,4,5,7,2,3] => [3,7,1,4,5,2,6] => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 2
[6,1,4,5,7,3,2] => [3,1,7,4,5,2,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,1,4,7,2,3,5] => [3,6,7,4,1,2,5] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,1,4,7,2,5,3] => [3,6,1,4,7,2,5] => {{1,3},{2,6},{4},{5,7}} => {{1,3},{2,6},{4,5,7}} => 1
[6,1,4,7,3,2,5] => [3,7,6,4,1,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,4,7,3,5,2] => [3,1,6,4,7,2,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[6,1,4,7,5,2,3] => [3,7,1,4,6,2,5] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[6,1,4,7,5,3,2] => [3,1,7,4,6,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,1,5,2,3,4,7] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,5,2,3,7,4] => [3,5,6,1,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,5,2,4,3,7] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[6,1,5,2,4,7,3] => [3,5,1,6,4,2,7] => {{1,3},{2,4,5,6},{7}} => {{1,2,6},{3},{4},{5,7}} => 1
[6,1,5,2,7,3,4] => [3,5,7,1,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,5,2,7,4,3] => [3,5,1,7,4,2,6] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,5,3,2,4,7] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,5,3,2,7,4] => [3,6,5,1,4,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,1,5,3,4,2,7] => [3,7,5,6,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,5,3,4,7,2] => [3,1,5,6,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,1,5,3,7,2,4] => [3,7,5,1,4,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,1,5,3,7,4,2] => [3,1,5,7,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,5,4,2,3,7] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 0
[6,1,5,4,2,7,3] => [3,6,1,5,4,2,7] => {{1,3},{2,6},{4,5},{7}} => {{1,2,6},{3,5,7},{4}} => 1
[6,1,5,4,3,2,7] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,1,5,4,3,7,2] => [3,1,6,5,4,2,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[6,1,5,4,7,2,3] => [3,7,1,5,4,2,6] => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 0
[6,1,5,4,7,3,2] => [3,1,7,5,4,2,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,1,5,7,2,3,4] => [3,6,7,1,4,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,5,7,2,4,3] => [3,6,1,7,4,2,5] => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 0
[6,1,5,7,3,2,4] => [3,7,6,1,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,5,7,3,4,2] => [3,1,6,7,4,2,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[6,1,5,7,4,2,3] => [3,7,1,6,4,2,5] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,5,7,4,3,2] => [3,1,7,6,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,2,3,4,5] => [3,5,6,7,1,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,1,7,2,3,5,4] => [3,5,6,1,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,2,4,3,5] => [3,5,7,6,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,2,4,5,3] => [3,5,1,6,7,2,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,7,2,5,3,4] => [3,5,7,1,6,2,4] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,1,7,2,5,4,3] => [3,5,1,7,6,2,4] => {{1,3},{2,5,6},{4,7}} => {{1,4},{2,6},{3},{5,7}} => 0
[6,1,7,3,2,4,5] => [3,6,5,7,1,2,4] => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 0
[6,1,7,3,2,5,4] => [3,6,5,1,7,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,7,3,4,2,5] => [3,7,5,6,1,2,4] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[6,1,7,3,4,5,2] => [3,1,5,6,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,3,5,2,4] => [3,7,5,1,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,3,5,4,2] => [3,1,5,7,6,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,1,7,4,2,3,5] => [3,6,7,5,1,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,1,7,4,2,5,3] => [3,6,1,5,7,2,4] => {{1,3},{2,6},{4,5,7}} => {{1,3},{2,6},{4},{5,7}} => 0
[6,1,7,4,3,2,5] => [3,7,6,5,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,4,3,5,2] => [3,1,6,5,7,2,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[6,1,7,4,5,2,3] => [3,7,1,5,6,2,4] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[6,1,7,4,5,3,2] => [3,1,7,5,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,1,7,5,2,3,4] => [3,6,7,1,5,2,4] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,1,7,5,2,4,3] => [3,6,1,7,5,2,4] => {{1,3},{2,6},{4,7},{5}} => {{1,3,4},{2,6},{5,7}} => 1
[6,1,7,5,3,2,4] => [3,7,6,1,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,1,7,5,3,4,2] => [3,1,6,7,5,2,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[6,1,7,5,4,2,3] => [3,7,1,6,5,2,4] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[6,1,7,5,4,3,2] => [3,1,7,6,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,1,3,4,5,7] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,1,3,4,7,5] => [4,3,5,6,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,1,3,5,4,7] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[6,2,1,3,5,7,4] => [4,3,5,1,6,2,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[6,2,1,3,7,4,5] => [4,3,5,7,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,1,3,7,5,4] => [4,3,5,1,7,2,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,2,1,4,3,5,7] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,1,4,3,7,5] => [4,3,6,5,1,2,7] => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 1
[6,2,1,4,5,3,7] => [4,3,7,5,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,1,4,5,7,3] => [4,3,1,5,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,1,4,7,3,5] => [4,3,7,5,1,2,6] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[6,2,1,4,7,5,3] => [4,3,1,5,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,1,5,3,4,7] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 1
[6,2,1,5,3,7,4] => [4,3,6,1,5,2,7] => {{1,4},{2,3,6},{5},{7}} => {{1,2,5},{3,4,7},{6}} => 2
[6,2,1,5,4,3,7] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,1,5,4,7,3] => [4,3,1,6,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,2,1,5,7,3,4] => [4,3,7,1,5,2,6] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[6,2,1,5,7,4,3] => [4,3,1,7,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,1,7,3,4,5] => [4,3,6,7,1,2,5] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,1,7,3,5,4] => [4,3,6,1,7,2,5] => {{1,4},{2,3,6},{5,7}} => {{1,3},{2,5},{4,7},{6}} => 0
[6,2,1,7,4,3,5] => [4,3,7,6,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,1,7,4,5,3] => [4,3,1,6,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,2,1,7,5,3,4] => [4,3,7,1,6,2,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,2,1,7,5,4,3] => [4,3,1,7,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,1,4,5,7] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[6,2,3,1,4,7,5] => [5,3,4,6,1,2,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[6,2,3,1,5,4,7] => [5,3,4,7,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,1,5,7,4] => [5,3,4,1,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,3,1,7,4,5] => [5,3,4,7,1,2,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,2,3,1,7,5,4] => [5,3,4,1,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,4,1,5,7] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,4,1,7,5] => [6,3,4,5,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,3,4,5,1,7] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,2,3,4,5,7,1] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,2,3,4,7,1,5] => [7,3,4,5,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,4,7,5,1] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,3,5,1,4,7] => [6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,3,5,1,7,4] => [6,3,4,1,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,2,3,5,4,1,7] => [7,3,4,6,5,2,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[6,2,3,5,4,7,1] => [1,3,4,6,5,2,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[6,2,3,5,7,1,4] => [7,3,4,1,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,3,5,7,4,1] => [1,3,4,7,5,2,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,2,3,7,1,4,5] => [6,3,4,7,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,7,1,5,4] => [6,3,4,1,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,2,3,7,4,1,5] => [7,3,4,6,1,2,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[6,2,3,7,4,5,1] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[6,2,3,7,5,1,4] => [7,3,4,1,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,3,7,5,4,1] => [1,3,4,7,6,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,4,1,3,5,7] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 1
[6,2,4,1,3,7,5] => [5,3,6,4,1,2,7] => {{1,5},{2,3,6},{4},{7}} => {{1,2,4,5},{3,7},{6}} => 2
[6,2,4,1,5,3,7] => [5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,1,5,7,3] => [5,3,1,4,6,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,2,4,1,7,3,5] => [5,3,7,4,1,2,6] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[6,2,4,1,7,5,3] => [5,3,1,4,7,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,3,1,5,7] => [6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,3,1,7,5] => [6,3,5,4,1,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,2,4,3,5,1,7] => [7,3,5,4,6,2,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[6,2,4,3,5,7,1] => [1,3,5,4,6,2,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[6,2,4,3,7,1,5] => [7,3,5,4,1,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,3,7,5,1] => [1,3,5,4,7,2,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,2,4,5,1,3,7] => [6,3,7,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,2,4,5,1,7,3] => [6,3,1,4,5,2,7] => {{1,2,3,6},{4},{5},{7}} => {{1,2},{3,4,5},{6},{7}} => 3
[6,2,4,5,3,1,7] => [7,3,6,4,5,2,1] => {{1,7},{2,3,6},{4},{5}} => {{1},{2,7},{3,4,5},{6}} => 2
[6,2,4,5,3,7,1] => [1,3,6,4,5,2,7] => {{1},{2,3,6},{4},{5},{7}} => {{1,2,7},{3,4,5},{6}} => 4
[6,2,4,5,7,1,3] => [7,3,1,4,5,2,6] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,2,4,5,7,3,1] => [1,3,7,4,5,2,6] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[6,2,4,7,1,3,5] => [6,3,7,4,1,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,7,1,5,3] => [6,3,1,4,7,2,5] => {{1,2,3,6},{4},{5,7}} => {{1,3},{2,4,5},{6},{7}} => 1
[6,2,4,7,3,1,5] => [7,3,6,4,1,2,5] => {{1,5,7},{2,3,6},{4}} => {{1},{2,4,5},{3,7},{6}} => 1
[6,2,4,7,3,5,1] => [1,3,6,4,7,2,5] => {{1},{2,3,6},{4},{5,7}} => {{1,3,7},{2,4,5},{6}} => 2
[6,2,4,7,5,1,3] => [7,3,1,4,6,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,2,4,7,5,3,1] => [1,3,7,4,6,2,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,2,5,1,3,4,7] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,5,1,3,7,4] => [5,3,6,1,4,2,7] => {{1,4,5},{2,3,6},{7}} => {{1,2,5},{3,7},{4},{6}} => 1
[6,2,5,1,4,3,7] => [5,3,7,6,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,1,4,7,3] => [5,3,1,6,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,5,1,7,3,4] => [5,3,7,1,4,2,6] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[6,2,5,1,7,4,3] => [5,3,1,7,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,3,1,4,7] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,3,1,7,4] => [6,3,5,1,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,2,5,3,4,1,7] => [7,3,5,6,4,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,2,5,3,4,7,1] => [1,3,5,6,4,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,2,5,3,7,1,4] => [7,3,5,1,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,3,7,4,1] => [1,3,5,7,4,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,5,4,1,3,7] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,2,5,4,1,7,3] => [6,3,1,5,4,2,7] => {{1,2,3,6},{4,5},{7}} => {{1,2},{3,5},{4},{6},{7}} => 1
[6,2,5,4,3,1,7] => [7,3,6,5,4,2,1] => {{1,7},{2,3,6},{4,5}} => {{1},{2,7},{3,5},{4},{6}} => 0
[6,2,5,4,3,7,1] => [1,3,6,5,4,2,7] => {{1},{2,3,6},{4,5},{7}} => {{1,2,7},{3,5},{4},{6}} => 2
[6,2,5,4,7,1,3] => [7,3,1,5,4,2,6] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,2,5,4,7,3,1] => [1,3,7,5,4,2,6] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[6,2,5,7,1,3,4] => [6,3,7,1,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,7,1,4,3] => [6,3,1,7,4,2,5] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[6,2,5,7,3,1,4] => [7,3,6,1,4,2,5] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,5,7,3,4,1] => [1,3,6,7,4,2,5] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 1
[6,2,5,7,4,1,3] => [7,3,1,6,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,5,7,4,3,1] => [1,3,7,6,4,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,7,1,3,4,5] => [5,3,6,7,1,2,4] => {{1,5},{2,3,6},{4,7}} => {{1,4},{2,5},{3,7},{6}} => 0
[6,2,7,1,3,5,4] => [5,3,6,1,7,2,4] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,7,1,4,3,5] => [5,3,7,6,1,2,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,2,7,1,4,5,3] => [5,3,1,6,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,1,5,3,4] => [5,3,7,1,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,1,5,4,3] => [5,3,1,7,6,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,2,7,3,1,4,5] => [6,3,5,7,1,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,2,7,3,1,5,4] => [6,3,5,1,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,3,4,1,5] => [7,3,5,6,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,3,4,5,1] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,7,3,5,1,4] => [7,3,5,1,6,2,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[6,2,7,3,5,4,1] => [1,3,5,7,6,2,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[6,2,7,4,1,3,5] => [6,3,7,5,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,4,1,5,3] => [6,3,1,5,7,2,4] => {{1,2,3,6},{4,5,7}} => {{1,3},{2,5},{4},{6},{7}} => 0
[6,2,7,4,3,1,5] => [7,3,6,5,1,2,4] => {{1,4,5,7},{2,3,6}} => {{1},{2,5},{3,7},{4},{6}} => 0
[6,2,7,4,3,5,1] => [1,3,6,5,7,2,4] => {{1},{2,3,6},{4,5,7}} => {{1,3,7},{2,5},{4},{6}} => 1
[6,2,7,4,5,1,3] => [7,3,1,5,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,2,7,4,5,3,1] => [1,3,7,5,6,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,2,7,5,1,3,4] => [6,3,7,1,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,7,5,1,4,3] => [6,3,1,7,5,2,4] => {{1,2,3,6},{4,7},{5}} => {{1,3,4},{2,5},{6},{7}} => 1
[6,2,7,5,3,1,4] => [7,3,6,1,5,2,4] => {{1,4,7},{2,3,6},{5}} => {{1},{2,5},{3,4,7},{6}} => 1
[6,2,7,5,3,4,1] => [1,3,6,7,5,2,4] => {{1},{2,3,6},{4,7},{5}} => {{1,3,4,7},{2,5},{6}} => 2
[6,2,7,5,4,1,3] => [7,3,1,6,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,2,7,5,4,3,1] => [1,3,7,6,5,2,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,3,1,2,4,5,7] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,1,2,4,7,5] => [4,5,3,6,1,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,1,2,5,4,7] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 1
[6,3,1,2,5,7,4] => [4,5,3,1,6,2,7] => {{1,4},{2,5,6},{3},{7}} => {{1,2,5,6},{3},{4,7}} => 2
[6,3,1,2,7,4,5] => [4,5,3,7,1,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,1,2,7,5,4] => [4,5,3,1,7,2,6] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[6,3,1,4,2,5,7] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,1,4,2,7,5] => [4,6,3,5,1,2,7] => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 2
[6,3,1,4,5,2,7] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,1,4,5,7,2] => [4,1,3,5,6,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,1,4,7,2,5] => [4,7,3,5,1,2,6] => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 1
[6,3,1,4,7,5,2] => [4,1,3,5,7,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,1,5,2,4,7] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => {{1},{2,5,6},{3,4,7}} => 2
[6,3,1,5,2,7,4] => [4,6,3,1,5,2,7] => {{1,4},{2,6},{3},{5},{7}} => {{1,2,5,6},{3,4,7}} => 3
[6,3,1,5,4,2,7] => [4,7,3,6,5,2,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,1,5,4,7,2] => [4,1,3,6,5,2,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[6,3,1,5,7,2,4] => [4,7,3,1,5,2,6] => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 2
[6,3,1,5,7,4,2] => [4,1,3,7,5,2,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,1,7,2,4,5] => [4,6,3,7,1,2,5] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,1,7,2,5,4] => [4,6,3,1,7,2,5] => {{1,4},{2,6},{3},{5,7}} => {{1,3},{2,5,6},{4,7}} => 1
[6,3,1,7,4,2,5] => [4,7,3,6,1,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,1,7,4,5,2] => [4,1,3,6,7,2,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[6,3,1,7,5,2,4] => [4,7,3,1,6,2,5] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[6,3,1,7,5,4,2] => [4,1,3,7,6,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,1,4,5,7] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 1
[6,3,2,1,4,7,5] => [5,4,3,6,1,2,7] => {{1,5},{2,4,6},{3},{7}} => {{1,2,4},{3,7},{5,6}} => 2
[6,3,2,1,5,4,7] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,1,5,7,4] => [5,4,3,1,6,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,2,1,7,4,5] => [5,4,3,7,1,2,6] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[6,3,2,1,7,5,4] => [5,4,3,1,7,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,4,1,5,7] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,4,1,7,5] => [6,4,3,5,1,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,2,4,5,1,7] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[6,3,2,4,5,7,1] => [1,4,3,5,6,2,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[6,3,2,4,7,1,5] => [7,4,3,5,1,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,4,7,5,1] => [1,4,3,5,7,2,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,2,5,1,4,7] => [6,4,3,7,5,2,1] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,2,5,1,7,4] => [6,4,3,1,5,2,7] => {{1,2,4,6},{3},{5},{7}} => {{1,2},{3,4},{5,6},{7}} => 3
[6,3,2,5,4,1,7] => [7,4,3,6,5,2,1] => {{1,7},{2,4,6},{3},{5}} => {{1},{2,7},{3,4},{5,6}} => 2
[6,3,2,5,4,7,1] => [1,4,3,6,5,2,7] => {{1},{2,4,6},{3},{5},{7}} => {{1,2,7},{3,4},{5,6}} => 4
[6,3,2,5,7,1,4] => [7,4,3,1,5,2,6] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,2,5,7,4,1] => [1,4,3,7,5,2,6] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[6,3,2,7,1,4,5] => [6,4,3,7,1,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,7,1,5,4] => [6,4,3,1,7,2,5] => {{1,2,4,6},{3},{5,7}} => {{1,3},{2,4},{5,6},{7}} => 1
[6,3,2,7,4,1,5] => [7,4,3,6,1,2,5] => {{1,5,7},{2,4,6},{3}} => {{1},{2,4},{3,7},{5,6}} => 1
[6,3,2,7,4,5,1] => [1,4,3,6,7,2,5] => {{1},{2,4,6},{3},{5,7}} => {{1,3,7},{2,4},{5,6}} => 2
[6,3,2,7,5,1,4] => [7,4,3,1,6,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,2,7,5,4,1] => [1,4,3,7,6,2,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,4,1,2,5,7] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 2
[6,3,4,1,2,7,5] => [5,6,3,4,1,2,7] => {{1,5},{2,6},{3},{4},{7}} => {{1,2,4,5,6},{3,7}} => 3
[6,3,4,1,5,2,7] => [5,7,3,4,6,2,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,1,5,7,2] => [5,1,3,4,6,2,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[6,3,4,1,7,2,5] => [5,7,3,4,1,2,6] => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 2
[6,3,4,1,7,5,2] => [5,1,3,4,7,2,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,2,1,5,7] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,2,1,7,5] => [6,5,3,4,1,2,7] => {{1,2,5,6},{3},{4},{7}} => {{1,2},{3},{4,5,6},{7}} => 3
[6,3,4,2,5,1,7] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}} => {{1},{2,7},{3},{4,5,6}} => 2
[6,3,4,2,5,7,1] => [1,5,3,4,6,2,7] => {{1},{2,5,6},{3},{4},{7}} => {{1,2,7},{3},{4,5,6}} => 4
[6,3,4,2,7,1,5] => [7,5,3,4,1,2,6] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,2,7,5,1] => [1,5,3,4,7,2,6] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[6,3,4,5,1,2,7] => [6,7,3,4,5,2,1] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[6,3,4,5,1,7,2] => [6,1,3,4,5,2,7] => {{1,2,6},{3},{4},{5},{7}} => {{1,2},{3,4,5,6},{7}} => 4
[6,3,4,5,2,1,7] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}} => {{1},{2,7},{3,4,5,6}} => 3
[6,3,4,5,2,7,1] => [1,6,3,4,5,2,7] => {{1},{2,6},{3},{4},{5},{7}} => {{1,2,7},{3,4,5,6}} => 5
[6,3,4,5,7,1,2] => [7,1,3,4,5,2,6] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[6,3,4,5,7,2,1] => [1,7,3,4,5,2,6] => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 4
[6,3,4,7,1,2,5] => [6,7,3,4,1,2,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,7,1,5,2] => [6,1,3,4,7,2,5] => {{1,2,6},{3},{4},{5,7}} => {{1,3},{2,4,5,6},{7}} => 2
[6,3,4,7,2,1,5] => [7,6,3,4,1,2,5] => {{1,5,7},{2,6},{3},{4}} => {{1},{2,4,5,6},{3,7}} => 2
[6,3,4,7,2,5,1] => [1,6,3,4,7,2,5] => {{1},{2,6},{3},{4},{5,7}} => {{1,3,7},{2,4,5,6}} => 3
[6,3,4,7,5,1,2] => [7,1,3,4,6,2,5] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[6,3,4,7,5,2,1] => [1,7,3,4,6,2,5] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[6,3,5,1,2,4,7] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,5,1,2,7,4] => [5,6,3,1,4,2,7] => {{1,4,5},{2,6},{3},{7}} => {{1,2,5,6},{3,7},{4}} => 2
[6,3,5,1,4,2,7] => [5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,1,4,7,2] => [5,1,3,6,4,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,5,1,7,2,4] => [5,7,3,1,4,2,6] => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 1
[6,3,5,1,7,4,2] => [5,1,3,7,4,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,2,1,4,7] => [6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,2,1,7,4] => [6,5,3,1,4,2,7] => {{1,2,4,5,6},{3},{7}} => {{1,2},{3},{4},{5,6},{7}} => 2
[6,3,5,2,4,1,7] => [7,5,3,6,4,2,1] => {{1,7},{2,4,5,6},{3}} => {{1},{2,7},{3},{4},{5,6}} => 1
[6,3,5,2,4,7,1] => [1,5,3,6,4,2,7] => {{1},{2,4,5,6},{3},{7}} => {{1,2,7},{3},{4},{5,6}} => 3
[6,3,5,2,7,1,4] => [7,5,3,1,4,2,6] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,2,7,4,1] => [1,5,3,7,4,2,6] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,5,4,1,2,7] => [6,7,3,5,4,2,1] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[6,3,5,4,1,7,2] => [6,1,3,5,4,2,7] => {{1,2,6},{3},{4,5},{7}} => {{1,2},{3,5,6},{4},{7}} => 2
[6,3,5,4,2,1,7] => [7,6,3,5,4,2,1] => {{1,7},{2,6},{3},{4,5}} => {{1},{2,7},{3,5,6},{4}} => 1
[6,3,5,4,2,7,1] => [1,6,3,5,4,2,7] => {{1},{2,6},{3},{4,5},{7}} => {{1,2,7},{3,5,6},{4}} => 3
[6,3,5,4,7,1,2] => [7,1,3,5,4,2,6] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[6,3,5,4,7,2,1] => [1,7,3,5,4,2,6] => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 2
[6,3,5,7,1,2,4] => [6,7,3,1,4,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,7,1,4,2] => [6,1,3,7,4,2,5] => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 1
[6,3,5,7,2,1,4] => [7,6,3,1,4,2,5] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,5,7,2,4,1] => [1,6,3,7,4,2,5] => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 2
[6,3,5,7,4,1,2] => [7,1,3,6,4,2,5] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,5,7,4,2,1] => [1,7,3,6,4,2,5] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,7,1,2,4,5] => [5,6,3,7,1,2,4] => {{1,5},{2,6},{3},{4,7}} => {{1,4},{2,5,6},{3,7}} => 1
[6,3,7,1,2,5,4] => [5,6,3,1,7,2,4] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,7,1,4,2,5] => [5,7,3,6,1,2,4] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[6,3,7,1,4,5,2] => [5,1,3,6,7,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,1,5,2,4] => [5,7,3,1,6,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,1,5,4,2] => [5,1,3,7,6,2,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[6,3,7,2,1,4,5] => [6,5,3,7,1,2,4] => {{1,2,5,6},{3},{4,7}} => {{1,4},{2,5,6},{3},{7}} => 1
[6,3,7,2,1,5,4] => [6,5,3,1,7,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,2,4,1,5] => [7,5,3,6,1,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,2,4,5,1] => [1,5,3,6,7,2,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,7,2,5,1,4] => [7,5,3,1,6,2,4] => {{1,4,7},{2,5,6},{3}} => {{1},{2,5,6},{3},{4,7}} => 1
[6,3,7,2,5,4,1] => [1,5,3,7,6,2,4] => {{1},{2,5,6},{3},{4,7}} => {{1,4,7},{2,5,6},{3}} => 2
[6,3,7,4,1,2,5] => [6,7,3,5,1,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,4,1,5,2] => [6,1,3,5,7,2,4] => {{1,2,6},{3},{4,5,7}} => {{1,3},{2,5,6},{4},{7}} => 1
[6,3,7,4,2,1,5] => [7,6,3,5,1,2,4] => {{1,4,5,7},{2,6},{3}} => {{1},{2,5,6},{3,7},{4}} => 1
[6,3,7,4,2,5,1] => [1,6,3,5,7,2,4] => {{1},{2,6},{3},{4,5,7}} => {{1,3,7},{2,5,6},{4}} => 2
[6,3,7,4,5,1,2] => [7,1,3,5,6,2,4] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[6,3,7,4,5,2,1] => [1,7,3,5,6,2,4] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[6,3,7,5,1,2,4] => [6,7,3,1,5,2,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,7,5,1,4,2] => [6,1,3,7,5,2,4] => {{1,2,6},{3},{4,7},{5}} => {{1,3,4},{2,5,6},{7}} => 2
[6,3,7,5,2,1,4] => [7,6,3,1,5,2,4] => {{1,4,7},{2,6},{3},{5}} => {{1},{2,5,6},{3,4,7}} => 2
[6,3,7,5,2,4,1] => [1,6,3,7,5,2,4] => {{1},{2,6},{3},{4,7},{5}} => {{1,3,4,7},{2,5,6}} => 3
[6,3,7,5,4,1,2] => [7,1,3,6,5,2,4] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[6,3,7,5,4,2,1] => [1,7,3,6,5,2,4] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[6,4,1,2,3,5,7] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,1,2,3,7,5] => [4,5,6,3,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,1,2,5,3,7] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,4,1,2,5,7,3] => [4,5,1,3,6,2,7] => {{1,3,4},{2,5,6},{7}} => {{1,2,6},{3},{4,7},{5}} => 1
[6,4,1,2,7,3,5] => [4,5,7,3,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,1,2,7,5,3] => [4,5,1,3,7,2,6] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[6,4,1,3,2,5,7] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,1,3,2,7,5] => [4,6,5,3,1,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,4,1,3,5,2,7] => [4,7,5,3,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,1,3,5,7,2] => [4,1,5,3,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,1,3,7,2,5] => [4,7,5,3,1,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,4,1,3,7,5,2] => [4,1,5,3,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,1,5,2,3,7] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,4,1,5,2,7,3] => [4,6,1,3,5,2,7] => {{1,3,4},{2,6},{5},{7}} => {{1,2,6},{3,4,7},{5}} => 2
[6,4,1,5,3,2,7] => [4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,1,5,3,7,2] => [4,1,6,3,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,4,1,5,7,2,3] => [4,7,1,3,5,2,6] => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 1
[6,4,1,5,7,3,2] => [4,1,7,3,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,1,7,2,3,5] => [4,6,7,3,1,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,1,7,2,5,3] => [4,6,1,3,7,2,5] => {{1,3,4},{2,6},{5,7}} => {{1,3},{2,6},{4,7},{5}} => 0
[6,4,1,7,3,2,5] => [4,7,6,3,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,1,7,3,5,2] => [4,1,6,3,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,4,1,7,5,2,3] => [4,7,1,3,6,2,5] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[6,4,1,7,5,3,2] => [4,1,7,3,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,1,3,5,7] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[6,4,2,1,3,7,5] => [5,4,6,3,1,2,7] => {{1,5},{2,3,4,6},{7}} => {{1,2,4},{3,7},{5},{6}} => 1
[6,4,2,1,5,3,7] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,1,5,7,3] => [5,4,1,3,6,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,2,1,7,3,5] => [5,4,7,3,1,2,6] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,4,2,1,7,5,3] => [5,4,1,3,7,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,3,1,5,7] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,3,1,7,5] => [6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,2,3,5,1,7] => [7,4,5,3,6,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,4,2,3,5,7,1] => [1,4,5,3,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,4,2,3,7,1,5] => [7,4,5,3,1,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,3,7,5,1] => [1,4,5,3,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,2,5,1,3,7] => [6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,2,5,1,7,3] => [6,4,1,3,5,2,7] => {{1,2,3,4,6},{5},{7}} => {{1,2},{3,4},{5},{6},{7}} => 2
[6,4,2,5,3,1,7] => [7,4,6,3,5,2,1] => {{1,7},{2,3,4,6},{5}} => {{1},{2,7},{3,4},{5},{6}} => 1
[6,4,2,5,3,7,1] => [1,4,6,3,5,2,7] => {{1},{2,3,4,6},{5},{7}} => {{1,2,7},{3,4},{5},{6}} => 3
[6,4,2,5,7,1,3] => [7,4,1,3,5,2,6] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,2,5,7,3,1] => [1,4,7,3,5,2,6] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,4,2,7,1,3,5] => [6,4,7,3,1,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,7,1,5,3] => [6,4,1,3,7,2,5] => {{1,2,3,4,6},{5,7}} => {{1,3},{2,4},{5},{6},{7}} => 0
[6,4,2,7,3,1,5] => [7,4,6,3,1,2,5] => {{1,5,7},{2,3,4,6}} => {{1},{2,4},{3,7},{5},{6}} => 0
[6,4,2,7,3,5,1] => [1,4,6,3,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1,3,7},{2,4},{5},{6}} => 1
[6,4,2,7,5,1,3] => [7,4,1,3,6,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,2,7,5,3,1] => [1,4,7,3,6,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,3,1,2,5,7] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 0
[6,4,3,1,2,7,5] => [5,6,4,3,1,2,7] => {{1,5},{2,6},{3,4},{7}} => {{1,2,4,6},{3,7},{5}} => 1
[6,4,3,1,5,2,7] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,1,5,7,2] => [5,1,4,3,6,2,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[6,4,3,1,7,2,5] => [5,7,4,3,1,2,6] => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 0
[6,4,3,1,7,5,2] => [5,1,4,3,7,2,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,2,1,5,7] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,2,1,7,5] => [6,5,4,3,1,2,7] => {{1,2,5,6},{3,4},{7}} => {{1,2},{3},{4,6},{5},{7}} => 1
[6,4,3,2,5,1,7] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}} => {{1},{2,7},{3},{4,6},{5}} => 0
[6,4,3,2,5,7,1] => [1,5,4,3,6,2,7] => {{1},{2,5,6},{3,4},{7}} => {{1,2,7},{3},{4,6},{5}} => 2
[6,4,3,2,7,1,5] => [7,5,4,3,1,2,6] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,2,7,5,1] => [1,5,4,3,7,2,6] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[6,4,3,5,1,2,7] => [6,7,4,3,5,2,1] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[6,4,3,5,1,7,2] => [6,1,4,3,5,2,7] => {{1,2,6},{3,4},{5},{7}} => {{1,2},{3,4,6},{5},{7}} => 2
[6,4,3,5,2,1,7] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}} => {{1},{2,7},{3,4,6},{5}} => 1
[6,4,3,5,2,7,1] => [1,6,4,3,5,2,7] => {{1},{2,6},{3,4},{5},{7}} => {{1,2,7},{3,4,6},{5}} => 3
[6,4,3,5,7,1,2] => [7,1,4,3,5,2,6] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[6,4,3,5,7,2,1] => [1,7,4,3,5,2,6] => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 2
[6,4,3,7,1,2,5] => [6,7,4,3,1,2,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,7,1,5,2] => [6,1,4,3,7,2,5] => {{1,2,6},{3,4},{5,7}} => {{1,3},{2,4,6},{5},{7}} => 0
[6,4,3,7,2,1,5] => [7,6,4,3,1,2,5] => {{1,5,7},{2,6},{3,4}} => {{1},{2,4,6},{3,7},{5}} => 0
[6,4,3,7,2,5,1] => [1,6,4,3,7,2,5] => {{1},{2,6},{3,4},{5,7}} => {{1,3,7},{2,4,6},{5}} => 1
[6,4,3,7,5,1,2] => [7,1,4,3,6,2,5] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[6,4,3,7,5,2,1] => [1,7,4,3,6,2,5] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[6,4,5,1,2,3,7] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,5,1,2,7,3] => [5,6,1,3,4,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,4,5,1,3,2,7] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,1,3,7,2] => [5,1,6,3,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,5,1,7,2,3] => [5,7,1,3,4,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,4,5,1,7,3,2] => [5,1,7,3,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,2,1,3,7] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,2,1,7,3] => [6,5,1,3,4,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,4,5,2,3,1,7] => [7,5,6,3,4,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,4,5,2,3,7,1] => [1,5,6,3,4,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,4,5,2,7,1,3] => [7,5,1,3,4,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,2,7,3,1] => [1,5,7,3,4,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,5,3,1,2,7] => [6,7,5,3,4,2,1] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[6,4,5,3,1,7,2] => [6,1,5,3,4,2,7] => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 1
[6,4,5,3,2,1,7] => [7,6,5,3,4,2,1] => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 0
[6,4,5,3,2,7,1] => [1,6,5,3,4,2,7] => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 2
[6,4,5,3,7,1,2] => [7,1,5,3,4,2,6] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[6,4,5,3,7,2,1] => [1,7,5,3,4,2,6] => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 1
[6,4,5,7,1,2,3] => [6,7,1,3,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,7,1,3,2] => [6,1,7,3,4,2,5] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,4,5,7,2,1,3] => [7,6,1,3,4,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,5,7,2,3,1] => [1,6,7,3,4,2,5] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,4,5,7,3,1,2] => [7,1,6,3,4,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,5,7,3,2,1] => [1,7,6,3,4,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,7,1,2,3,5] => [5,6,7,3,1,2,4] => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 0
[6,4,7,1,2,5,3] => [5,6,1,3,7,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,7,1,3,2,5] => [5,7,6,3,1,2,4] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,4,7,1,3,5,2] => [5,1,6,3,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,1,5,2,3] => [5,7,1,3,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,1,5,3,2] => [5,1,7,3,6,2,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[6,4,7,2,1,3,5] => [6,5,7,3,1,2,4] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[6,4,7,2,1,5,3] => [6,5,1,3,7,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,2,3,1,5] => [7,5,6,3,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,2,3,5,1] => [1,5,6,3,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,7,2,5,1,3] => [7,5,1,3,6,2,4] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,4,7,2,5,3,1] => [1,5,7,3,6,2,4] => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 1
[6,4,7,3,1,2,5] => [6,7,5,3,1,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,3,1,5,2] => [6,1,5,3,7,2,4] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,4,7,3,2,1,5] => [7,6,5,3,1,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,4,7,3,2,5,1] => [1,6,5,3,7,2,4] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,4,7,3,5,1,2] => [7,1,5,3,6,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,4,7,3,5,2,1] => [1,7,5,3,6,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,4,7,5,1,2,3] => [6,7,1,3,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,7,5,1,3,2] => [6,1,7,3,5,2,4] => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 1
[6,4,7,5,2,1,3] => [7,6,1,3,5,2,4] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,4,7,5,2,3,1] => [1,6,7,3,5,2,4] => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 2
[6,4,7,5,3,1,2] => [7,1,6,3,5,2,4] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,4,7,5,3,2,1] => [1,7,6,3,5,2,4] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,5,1,2,3,4,7] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[6,5,1,2,3,7,4] => [4,5,6,1,3,2,7] => {{1,4},{2,3,5,6},{7}} => {{1,2,5},{3},{4,7},{6}} => 1
[6,5,1,2,4,3,7] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,2,4,7,3] => [4,5,1,6,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,1,2,7,3,4] => [4,5,7,1,3,2,6] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,5,1,2,7,4,3] => [4,5,1,7,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,3,2,4,7] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => {{1},{2,6},{3,5},{4,7}} => 0
[6,5,1,3,2,7,4] => [4,6,5,1,3,2,7] => {{1,4},{2,6},{3,5},{7}} => {{1,2,6},{3,5},{4,7}} => 1
[6,5,1,3,4,2,7] => [4,7,5,6,3,2,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,1,3,4,7,2] => [4,1,5,6,3,2,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[6,5,1,3,7,2,4] => [4,7,5,1,3,2,6] => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 0
[6,5,1,3,7,4,2] => [4,1,5,7,3,2,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,1,4,2,3,7] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,1,4,2,7,3] => [4,6,1,5,3,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,5,1,4,3,2,7] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,4,3,7,2] => [4,1,6,5,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,1,4,7,2,3] => [4,7,1,5,3,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,5,1,4,7,3,2] => [4,1,7,5,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,7,2,3,4] => [4,6,7,1,3,2,5] => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 0
[6,5,1,7,2,4,3] => [4,6,1,7,3,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,1,7,3,2,4] => [4,7,6,1,3,2,5] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,5,1,7,3,4,2] => [4,1,6,7,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,7,4,2,3] => [4,7,1,6,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,1,7,4,3,2] => [4,1,7,6,3,2,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[6,5,2,1,3,4,7] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,1,3,7,4] => [5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,2,1,4,3,7] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,5,2,1,4,7,3] => [5,4,1,6,3,2,7] => {{1,3,5},{2,4,6},{7}} => {{1,2,4,6},{3,5,7}} => 1
[6,5,2,1,7,3,4] => [5,4,7,1,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,1,7,4,3] => [5,4,1,7,3,2,6] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[6,5,2,3,1,4,7] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,2,3,1,7,4] => [6,4,5,1,3,2,7] => {{1,2,4,6},{3,5},{7}} => {{1,2},{3,5},{4,6},{7}} => 1
[6,5,2,3,4,1,7] => [7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}} => {{1},{2,7},{3,5},{4,6}} => 0
[6,5,2,3,4,7,1] => [1,4,5,6,3,2,7] => {{1},{2,4,6},{3,5},{7}} => {{1,2,7},{3,5},{4,6}} => 2
[6,5,2,3,7,1,4] => [7,4,5,1,3,2,6] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,2,3,7,4,1] => [1,4,5,7,3,2,6] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[6,5,2,4,1,3,7] => [6,4,7,5,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,4,1,7,3] => [6,4,1,5,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,2,4,3,1,7] => [7,4,6,5,3,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,5,2,4,3,7,1] => [1,4,6,5,3,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,5,2,4,7,1,3] => [7,4,1,5,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,4,7,3,1] => [1,4,7,5,3,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,5,2,7,1,3,4] => [6,4,7,1,3,2,5] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[6,5,2,7,1,4,3] => [6,4,1,7,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,7,3,1,4] => [7,4,6,1,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,2,7,3,4,1] => [1,4,6,7,3,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,5,2,7,4,1,3] => [7,4,1,6,3,2,5] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,5,2,7,4,3,1] => [1,4,7,6,3,2,5] => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 1
[6,5,3,1,2,4,7] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,3,1,2,7,4] => [5,6,4,1,3,2,7] => {{1,3,4,5},{2,6},{7}} => {{1,2,6},{3,7},{4},{5}} => 1
[6,5,3,1,4,2,7] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,1,4,7,2] => [5,1,4,6,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,3,1,7,2,4] => [5,7,4,1,3,2,6] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[6,5,3,1,7,4,2] => [5,1,4,7,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,2,1,4,7] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,2,1,7,4] => [6,5,4,1,3,2,7] => {{1,2,3,4,5,6},{7}} => {{1,2},{3},{4},{5},{6},{7}} => 1
[6,5,3,2,4,1,7] => [7,5,4,6,3,2,1] => {{1,7},{2,3,4,5,6}} => {{1},{2,7},{3},{4},{5},{6}} => 0
[6,5,3,2,4,7,1] => [1,5,4,6,3,2,7] => {{1},{2,3,4,5,6},{7}} => {{1,2,7},{3},{4},{5},{6}} => 2
[6,5,3,2,7,1,4] => [7,5,4,1,3,2,6] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,2,7,4,1] => [1,5,4,7,3,2,6] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,5,3,4,1,2,7] => [6,7,4,5,3,2,1] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[6,5,3,4,1,7,2] => [6,1,4,5,3,2,7] => {{1,2,6},{3,4,5},{7}} => {{1,2},{3,6},{4},{5},{7}} => 1
[6,5,3,4,2,1,7] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}} => {{1},{2,7},{3,6},{4},{5}} => 0
[6,5,3,4,2,7,1] => [1,6,4,5,3,2,7] => {{1},{2,6},{3,4,5},{7}} => {{1,2,7},{3,6},{4},{5}} => 2
[6,5,3,4,7,1,2] => [7,1,4,5,3,2,6] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[6,5,3,4,7,2,1] => [1,7,4,5,3,2,6] => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 1
[6,5,3,7,1,2,4] => [6,7,4,1,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,7,1,4,2] => [6,1,4,7,3,2,5] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,5,3,7,2,1,4] => [7,6,4,1,3,2,5] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,3,7,2,4,1] => [1,6,4,7,3,2,5] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,5,3,7,4,1,2] => [7,1,4,6,3,2,5] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,3,7,4,2,1] => [1,7,4,6,3,2,5] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,5,4,1,2,3,7] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,5,4,1,2,7,3] => [5,6,1,4,3,2,7] => {{1,3,5},{2,6},{4},{7}} => {{1,2,6},{3,7},{4,5}} => 2
[6,5,4,1,3,2,7] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,1,3,7,2] => [5,1,6,4,3,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,5,4,1,7,2,3] => [5,7,1,4,3,2,6] => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 1
[6,5,4,1,7,3,2] => [5,1,7,4,3,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,2,1,3,7] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,2,1,7,3] => [6,5,1,4,3,2,7] => {{1,2,3,5,6},{4},{7}} => {{1,2},{3},{4,5},{6},{7}} => 2
[6,5,4,2,3,1,7] => [7,5,6,4,3,2,1] => {{1,7},{2,3,5,6},{4}} => {{1},{2,7},{3},{4,5},{6}} => 1
[6,5,4,2,3,7,1] => [1,5,6,4,3,2,7] => {{1},{2,3,5,6},{4},{7}} => {{1,2,7},{3},{4,5},{6}} => 3
[6,5,4,2,7,1,3] => [7,5,1,4,3,2,6] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,2,7,3,1] => [1,5,7,4,3,2,6] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,5,4,3,1,2,7] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[6,5,4,3,1,7,2] => [6,1,5,4,3,2,7] => {{1,2,6},{3,5},{4},{7}} => {{1,2},{3,6},{4,5},{7}} => 2
[6,5,4,3,2,1,7] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => {{1},{2,7},{3,6},{4,5}} => 1
[6,5,4,3,2,7,1] => [1,6,5,4,3,2,7] => {{1},{2,6},{3,5},{4},{7}} => {{1,2,7},{3,6},{4,5}} => 3
[6,5,4,3,7,1,2] => [7,1,5,4,3,2,6] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[6,5,4,3,7,2,1] => [1,7,5,4,3,2,6] => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 2
[6,5,4,7,1,2,3] => [6,7,1,4,3,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,7,1,3,2] => [6,1,7,4,3,2,5] => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 1
[6,5,4,7,2,1,3] => [7,6,1,4,3,2,5] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,5,4,7,2,3,1] => [1,6,7,4,3,2,5] => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 2
[6,5,4,7,3,1,2] => [7,1,6,4,3,2,5] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,5,4,7,3,2,1] => [1,7,6,4,3,2,5] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,5,7,1,2,3,4] => [5,6,7,1,3,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,7,1,2,4,3] => [5,6,1,7,3,2,4] => {{1,3,5},{2,6},{4,7}} => {{1,4},{2,6},{3,5,7}} => 0
[6,5,7,1,3,2,4] => [5,7,6,1,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,1,3,4,2] => [5,1,6,7,3,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,5,7,1,4,2,3] => [5,7,1,6,3,2,4] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[6,5,7,1,4,3,2] => [5,1,7,6,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,2,1,3,4] => [6,5,7,1,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,2,1,4,3] => [6,5,1,7,3,2,4] => {{1,2,3,5,6},{4,7}} => {{1,4},{2,5},{3},{6},{7}} => 0
[6,5,7,2,3,1,4] => [7,5,6,1,3,2,4] => {{1,4,7},{2,3,5,6}} => {{1},{2,5},{3},{4,7},{6}} => 0
[6,5,7,2,3,4,1] => [1,5,6,7,3,2,4] => {{1},{2,3,5,6},{4,7}} => {{1,4,7},{2,5},{3},{6}} => 1
[6,5,7,2,4,1,3] => [7,5,1,6,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,2,4,3,1] => [1,5,7,6,3,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,5,7,3,1,2,4] => [6,7,5,1,3,2,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,7,3,1,4,2] => [6,1,5,7,3,2,4] => {{1,2,6},{3,5},{4,7}} => {{1,4},{2,6},{3,5},{7}} => 0
[6,5,7,3,2,1,4] => [7,6,5,1,3,2,4] => {{1,4,7},{2,6},{3,5}} => {{1},{2,6},{3,5},{4,7}} => 0
[6,5,7,3,2,4,1] => [1,6,5,7,3,2,4] => {{1},{2,6},{3,5},{4,7}} => {{1,4,7},{2,6},{3,5}} => 1
[6,5,7,3,4,1,2] => [7,1,5,6,3,2,4] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[6,5,7,3,4,2,1] => [1,7,5,6,3,2,4] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[6,5,7,4,1,2,3] => [6,7,1,5,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,4,1,3,2] => [6,1,7,5,3,2,4] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,5,7,4,2,1,3] => [7,6,1,5,3,2,4] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,5,7,4,2,3,1] => [1,6,7,5,3,2,4] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,5,7,4,3,1,2] => [7,1,6,5,3,2,4] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,5,7,4,3,2,1] => [1,7,6,5,3,2,4] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,1,2,3,4,5] => [4,5,6,7,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,2,3,5,4] => [4,5,6,1,7,2,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,7,1,2,4,3,5] => [4,5,7,6,1,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,1,2,4,5,3] => [4,5,1,6,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,2,5,3,4] => [4,5,7,1,6,2,3] => {{1,4},{2,5,6},{3,7}} => {{1,5},{2,6},{3},{4,7}} => 0
[6,7,1,2,5,4,3] => [4,5,1,7,6,2,3] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,7,1,3,2,4,5] => [4,6,5,7,1,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,1,3,2,5,4] => [4,6,5,1,7,2,3] => {{1,4},{2,6},{3,5,7}} => {{1,3,5},{2,6},{4,7}} => 0
[6,7,1,3,4,2,5] => [4,7,5,6,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,3,4,5,2] => [4,1,5,6,7,2,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[6,7,1,3,5,2,4] => [4,7,5,1,6,2,3] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[6,7,1,3,5,4,2] => [4,1,5,7,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,4,2,3,5] => [4,6,7,5,1,2,3] => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 0
[6,7,1,4,2,5,3] => [4,6,1,5,7,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,1,4,3,2,5] => [4,7,6,5,1,2,3] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[6,7,1,4,3,5,2] => [4,1,6,5,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,4,5,2,3] => [4,7,1,5,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,1,4,5,3,2] => [4,1,7,5,6,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,1,5,2,3,4] => [4,6,7,1,5,2,3] => {{1,4},{2,6},{3,7},{5}} => {{1,5},{2,6},{3,4,7}} => 1
[6,7,1,5,2,4,3] => [4,6,1,7,5,2,3] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,7,1,5,3,2,4] => [4,7,6,1,5,2,3] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[6,7,1,5,3,4,2] => [4,1,6,7,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,1,5,4,2,3] => [4,7,1,6,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,1,5,4,3,2] => [4,1,7,6,5,2,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[6,7,2,1,3,4,5] => [5,4,6,7,1,2,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,7,2,1,3,5,4] => [5,4,6,1,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,1,4,3,5] => [5,4,7,6,1,2,3] => {{1,5},{2,4,6},{3,7}} => {{1,5},{2,4,6},{3,7}} => 0
[6,7,2,1,4,5,3] => [5,4,1,6,7,2,3] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,7,2,1,5,3,4] => [5,4,7,1,6,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,2,1,5,4,3] => [5,4,1,7,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,3,1,4,5] => [6,4,5,7,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,3,1,5,4] => [6,4,5,1,7,2,3] => {{1,2,4,6},{3,5,7}} => {{1,3,5},{2,4,6},{7}} => 0
[6,7,2,3,4,1,5] => [7,4,5,6,1,2,3] => {{1,3,5,7},{2,4,6}} => {{1},{2,4,6},{3,5,7}} => 0
[6,7,2,3,4,5,1] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1,3,5,7},{2,4,6}} => 1
[6,7,2,3,5,1,4] => [7,4,5,1,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,3,5,4,1] => [1,4,5,7,6,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,2,4,1,3,5] => [6,4,7,5,1,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,2,4,1,5,3] => [6,4,1,5,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,4,3,1,5] => [7,4,6,5,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,2,4,3,5,1] => [1,4,6,5,7,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,2,4,5,1,3] => [7,4,1,5,6,2,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[6,7,2,4,5,3,1] => [1,4,7,5,6,2,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[6,7,2,5,1,3,4] => [6,4,7,1,5,2,3] => {{1,2,4,6},{3,7},{5}} => {{1,5},{2,6},{3,4},{7}} => 1
[6,7,2,5,1,4,3] => [6,4,1,7,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,2,5,3,1,4] => [7,4,6,1,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,2,5,3,4,1] => [1,4,6,7,5,2,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,7,2,5,4,1,3] => [7,4,1,6,5,2,3] => {{1,3,7},{2,4,6},{5}} => {{1},{2,6},{3,4},{5,7}} => 1
[6,7,2,5,4,3,1] => [1,4,7,6,5,2,3] => {{1},{2,4,6},{3,7},{5}} => {{1,5,7},{2,6},{3,4}} => 2
[6,7,3,1,2,4,5] => [5,6,4,7,1,2,3] => {{1,5},{2,6},{3,4,7}} => {{1,4},{2,6},{3,7},{5}} => 0
[6,7,3,1,2,5,4] => [5,6,4,1,7,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,3,1,4,2,5] => [5,7,4,6,1,2,3] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[6,7,3,1,4,5,2] => [5,1,4,6,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,1,5,2,4] => [5,7,4,1,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,1,5,4,2] => [5,1,4,7,6,2,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[6,7,3,2,1,4,5] => [6,5,4,7,1,2,3] => {{1,2,5,6},{3,4,7}} => {{1,4},{2,6},{3},{5},{7}} => 0
[6,7,3,2,1,5,4] => [6,5,4,1,7,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,2,4,1,5] => [7,5,4,6,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,2,4,5,1] => [1,5,4,6,7,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,3,2,5,1,4] => [7,5,4,1,6,2,3] => {{1,3,4,7},{2,5,6}} => {{1},{2,6},{3},{4,7},{5}} => 0
[6,7,3,2,5,4,1] => [1,5,4,7,6,2,3] => {{1},{2,5,6},{3,4,7}} => {{1,4,7},{2,6},{3},{5}} => 1
[6,7,3,4,1,2,5] => [6,7,4,5,1,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,4,1,5,2] => [6,1,4,5,7,2,3] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,7,3,4,2,1,5] => [7,6,4,5,1,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,3,4,2,5,1] => [1,6,4,5,7,2,3] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,7,3,4,5,1,2] => [7,1,4,5,6,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,3,4,5,2,1] => [1,7,4,5,6,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,3,5,1,2,4] => [6,7,4,1,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,3,5,1,4,2] => [6,1,4,7,5,2,3] => {{1,2,6},{3,4,7},{5}} => {{1,3,4},{2,6},{5},{7}} => 1
[6,7,3,5,2,1,4] => [7,6,4,1,5,2,3] => {{1,3,4,7},{2,6},{5}} => {{1},{2,6},{3,4,7},{5}} => 1
[6,7,3,5,2,4,1] => [1,6,4,7,5,2,3] => {{1},{2,6},{3,4,7},{5}} => {{1,3,4,7},{2,6},{5}} => 2
[6,7,3,5,4,1,2] => [7,1,4,6,5,2,3] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[6,7,3,5,4,2,1] => [1,7,4,6,5,2,3] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[6,7,4,1,2,3,5] => [5,6,7,4,1,2,3] => {{1,5},{2,6},{3,7},{4}} => {{1,4,5},{2,6},{3,7}} => 1
[6,7,4,1,2,5,3] => [5,6,1,4,7,2,3] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,7,4,1,3,2,5] => [5,7,6,4,1,2,3] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[6,7,4,1,3,5,2] => [5,1,6,4,7,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,1,5,2,3] => [5,7,1,4,6,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,1,5,3,2] => [5,1,7,4,6,2,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[6,7,4,2,1,3,5] => [6,5,7,4,1,2,3] => {{1,2,5,6},{3,7},{4}} => {{1,4,5},{2,6},{3},{7}} => 1
[6,7,4,2,1,5,3] => [6,5,1,4,7,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,2,3,1,5] => [7,5,6,4,1,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,2,3,5,1] => [1,5,6,4,7,2,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,7,4,2,5,1,3] => [7,5,1,4,6,2,3] => {{1,3,7},{2,5,6},{4}} => {{1},{2,6},{3},{4,5,7}} => 1
[6,7,4,2,5,3,1] => [1,5,7,4,6,2,3] => {{1},{2,5,6},{3,7},{4}} => {{1,4,5,7},{2,6},{3}} => 2
[6,7,4,3,1,2,5] => [6,7,5,4,1,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,3,1,5,2] => [6,1,5,4,7,2,3] => {{1,2,6},{3,5,7},{4}} => {{1,3},{2,6},{4,5},{7}} => 1
[6,7,4,3,2,1,5] => [7,6,5,4,1,2,3] => {{1,3,5,7},{2,6},{4}} => {{1},{2,6},{3,7},{4,5}} => 1
[6,7,4,3,2,5,1] => [1,6,5,4,7,2,3] => {{1},{2,6},{3,5,7},{4}} => {{1,3,7},{2,6},{4,5}} => 2
[6,7,4,3,5,1,2] => [7,1,5,4,6,2,3] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[6,7,4,3,5,2,1] => [1,7,5,4,6,2,3] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[6,7,4,5,1,2,3] => [6,7,1,4,5,2,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,7,4,5,1,3,2] => [6,1,7,4,5,2,3] => {{1,2,6},{3,7},{4},{5}} => {{1,3,4,5},{2,6},{7}} => 2
[6,7,4,5,2,1,3] => [7,6,1,4,5,2,3] => {{1,3,7},{2,6},{4},{5}} => {{1},{2,6},{3,4,5,7}} => 2
[6,7,4,5,2,3,1] => [1,6,7,4,5,2,3] => {{1},{2,6},{3,7},{4},{5}} => {{1,3,4,5,7},{2,6}} => 3
[6,7,4,5,3,1,2] => [7,1,6,4,5,2,3] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[6,7,4,5,3,2,1] => [1,7,6,4,5,2,3] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[6,7,5,1,2,3,4] => [5,6,7,1,4,2,3] => {{1,4,5},{2,6},{3,7}} => {{1,5},{2,6},{3,7},{4}} => 0
[6,7,5,1,2,4,3] => [5,6,1,7,4,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,5,1,3,2,4] => [5,7,6,1,4,2,3] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[6,7,5,1,3,4,2] => [5,1,6,7,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,1,4,2,3] => [5,7,1,6,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,1,4,3,2] => [5,1,7,6,4,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,5,2,1,3,4] => [6,5,7,1,4,2,3] => {{1,2,4,5,6},{3,7}} => {{1,5},{2,6},{3},{4},{7}} => 0
[6,7,5,2,1,4,3] => [6,5,1,7,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,2,3,1,4] => [7,5,6,1,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,2,3,4,1] => [1,5,6,7,4,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,5,2,4,1,3] => [7,5,1,6,4,2,3] => {{1,3,7},{2,4,5,6}} => {{1},{2,6},{3},{4},{5,7}} => 0
[6,7,5,2,4,3,1] => [1,5,7,6,4,2,3] => {{1},{2,4,5,6},{3,7}} => {{1,5,7},{2,6},{3},{4}} => 1
[6,7,5,3,1,2,4] => [6,7,5,1,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,3,1,4,2] => [6,1,5,7,4,2,3] => {{1,2,6},{3,4,5,7}} => {{1,3},{2,6},{4},{5},{7}} => 0
[6,7,5,3,2,1,4] => [7,6,5,1,4,2,3] => {{1,3,4,5,7},{2,6}} => {{1},{2,6},{3,7},{4},{5}} => 0
[6,7,5,3,2,4,1] => [1,6,5,7,4,2,3] => {{1},{2,6},{3,4,5,7}} => {{1,3,7},{2,6},{4},{5}} => 1
[6,7,5,3,4,1,2] => [7,1,5,6,4,2,3] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[6,7,5,3,4,2,1] => [1,7,5,6,4,2,3] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[6,7,5,4,1,2,3] => [6,7,1,5,4,2,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,7,5,4,1,3,2] => [6,1,7,5,4,2,3] => {{1,2,6},{3,7},{4,5}} => {{1,3,5},{2,6},{4},{7}} => 0
[6,7,5,4,2,1,3] => [7,6,1,5,4,2,3] => {{1,3,7},{2,6},{4,5}} => {{1},{2,6},{3,5,7},{4}} => 0
[6,7,5,4,2,3,1] => [1,6,7,5,4,2,3] => {{1},{2,6},{3,7},{4,5}} => {{1,3,5,7},{2,6},{4}} => 1
[6,7,5,4,3,1,2] => [7,1,6,5,4,2,3] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[6,7,5,4,3,2,1] => [1,7,6,5,4,2,3] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[7,1,2,3,4,5,6] => [3,4,5,6,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,3,4,6,5] => [3,4,5,6,1,7,2] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[7,1,2,3,5,4,6] => [3,4,5,7,6,1,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,1,2,3,5,6,4] => [3,4,5,1,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,3,6,4,5] => [3,4,5,7,1,6,2] => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}} => 1
[7,1,2,3,6,5,4] => [3,4,5,1,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,2,4,3,5,6] => [3,4,6,5,7,1,2] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[7,1,2,4,3,6,5] => [3,4,6,5,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,4,5,3,6] => [3,4,7,5,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,4,5,6,3] => [3,4,1,5,6,7,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,2,4,6,3,5] => [3,4,7,5,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,2,4,6,5,3] => [3,4,1,5,7,6,2] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[7,1,2,5,3,4,6] => [3,4,6,7,5,1,2] => {{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}} => 1
[7,1,2,5,3,6,4] => [3,4,6,1,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,2,5,4,3,6] => [3,4,7,6,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,2,5,4,6,3] => [3,4,1,6,5,7,2] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[7,1,2,5,6,3,4] => [3,4,7,1,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,1,2,5,6,4,3] => [3,4,1,7,5,6,2] => {{1,3},{2,4,7},{5},{6}} => {{1,6},{2,3,4},{5,7}} => 2
[7,1,2,6,3,4,5] => [3,4,6,7,1,5,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,1,2,6,3,5,4] => [3,4,6,1,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,6,4,3,5] => [3,4,7,6,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,2,6,4,5,3] => [3,4,1,6,7,5,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,2,6,5,3,4] => [3,4,7,1,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,1,2,6,5,4,3] => [3,4,1,7,6,5,2] => {{1,3},{2,4,7},{5,6}} => {{1,6},{2,4},{3},{5,7}} => 0
[7,1,3,2,4,5,6] => [3,5,4,6,7,1,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,1,3,2,4,6,5] => [3,5,4,6,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,2,5,4,6] => [3,5,4,7,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,2,5,6,4] => [3,5,4,1,6,7,2] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[7,1,3,2,6,4,5] => [3,5,4,7,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,3,2,6,5,4] => [3,5,4,1,7,6,2] => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 1
[7,1,3,4,2,5,6] => [3,6,4,5,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,4,2,6,5] => [3,6,4,5,1,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,1,3,4,5,2,6] => [3,7,4,5,6,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,3,4,5,6,2] => [3,1,4,5,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,4,6,2,5] => [3,7,4,5,1,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,1,3,4,6,5,2] => [3,1,4,5,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,3,5,2,4,6] => [3,6,4,7,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,3,5,2,6,4] => [3,6,4,1,5,7,2] => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 1
[7,1,3,5,4,2,6] => [3,7,4,6,5,1,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,1,3,5,4,6,2] => [3,1,4,6,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,3,5,6,2,4] => [3,7,4,1,5,6,2] => {{1,3,4},{2,7},{5},{6}} => {{1,6},{2,3,4,7},{5}} => 2
[7,1,3,5,6,4,2] => [3,1,4,7,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,1,3,6,2,4,5] => [3,6,4,7,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,6,2,5,4] => [3,6,4,1,7,5,2] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[7,1,3,6,4,2,5] => [3,7,4,6,1,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,3,6,4,5,2] => [3,1,4,6,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,3,6,5,2,4] => [3,7,4,1,6,5,2] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 0
[7,1,3,6,5,4,2] => [3,1,4,7,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,1,4,2,3,5,6] => [3,5,6,4,7,1,2] => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 1
[7,1,4,2,3,6,5] => [3,5,6,4,1,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,2,5,3,6] => [3,5,7,4,6,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,2,5,6,3] => [3,5,1,4,6,7,2] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[7,1,4,2,6,3,5] => [3,5,7,4,1,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,1,4,2,6,5,3] => [3,5,1,4,7,6,2] => {{1,3},{2,5,7},{4},{6}} => {{1,6},{2,3},{4,5,7}} => 2
[7,1,4,3,2,5,6] => [3,6,5,4,7,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,3,2,6,5] => [3,6,5,4,1,7,2] => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 1
[7,1,4,3,5,2,6] => [3,7,5,4,6,1,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,1,4,3,5,6,2] => [3,1,5,4,6,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,3,6,2,5] => [3,7,5,4,1,6,2] => {{1,3,5},{2,7},{4},{6}} => {{1,6},{2,3,7},{4,5}} => 2
[7,1,4,3,6,5,2] => [3,1,5,4,7,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,1,4,5,2,3,6] => [3,6,7,4,5,1,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,1,4,5,2,6,3] => [3,6,1,4,5,7,2] => {{1,3},{2,6,7},{4},{5}} => {{1,6},{2},{3,4,5,7}} => 2
[7,1,4,5,3,2,6] => [3,7,6,4,5,1,2] => {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,7},{3,4,5}} => 2
[7,1,4,5,3,6,2] => [3,1,6,4,5,7,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,1,4,5,6,2,3] => [3,7,1,4,5,6,2] => {{1,3},{2,7},{4},{5},{6}} => {{1,6},{2,3,4,5,7}} => 3
[7,1,4,5,6,3,2] => [3,1,7,4,5,6,2] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[7,1,4,6,2,3,5] => [3,6,7,4,1,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,6,2,5,3] => [3,6,1,4,7,5,2] => {{1,3},{2,5,6,7},{4}} => {{1,6},{2},{3},{4,5,7}} => 1
[7,1,4,6,3,2,5] => [3,7,6,4,1,5,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,1,4,6,3,5,2] => [3,1,6,4,7,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,1,4,6,5,2,3] => [3,7,1,4,6,5,2] => {{1,3},{2,7},{4},{5,6}} => {{1,6},{2,4,5,7},{3}} => 1
[7,1,4,6,5,3,2] => [3,1,7,4,6,5,2] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[7,1,5,2,3,4,6] => [3,5,6,7,4,1,2] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[7,1,5,2,3,6,4] => [3,5,6,1,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,2,4,3,6] => [3,5,7,6,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,2,4,6,3] => [3,5,1,6,4,7,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,5,2,6,3,4] => [3,5,7,1,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,5,2,6,4,3] => [3,5,1,7,4,6,2] => {{1,3},{2,4,5,7},{6}} => {{1,6},{2,3},{4},{5,7}} => 1
[7,1,5,3,2,4,6] => [3,6,5,7,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,3,2,6,4] => [3,6,5,1,4,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,1,5,3,4,2,6] => [3,7,5,6,4,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,5,3,4,6,2] => [3,1,5,6,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,3,6,2,4] => [3,7,5,1,4,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,1,5,3,6,4,2] => [3,1,5,7,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,1,5,4,2,3,6] => [3,6,7,5,4,1,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,1,5,4,2,6,3] => [3,6,1,5,4,7,2] => {{1,3},{2,6,7},{4,5}} => {{1,6},{2},{3,5,7},{4}} => 0
[7,1,5,4,3,2,6] => [3,7,6,5,4,1,2] => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 0
[7,1,5,4,3,6,2] => [3,1,6,5,4,7,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,1,5,4,6,2,3] => [3,7,1,5,4,6,2] => {{1,3},{2,7},{4,5},{6}} => {{1,6},{2,3,5,7},{4}} => 1
[7,1,5,4,6,3,2] => [3,1,7,5,4,6,2] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[7,1,5,6,2,3,4] => [3,6,7,1,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,6,2,4,3] => [3,6,1,7,4,5,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,5,6,3,2,4] => [3,7,6,1,4,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,5,6,3,4,2] => [3,1,6,7,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,5,6,4,2,3] => [3,7,1,6,4,5,2] => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 0
[7,1,5,6,4,3,2] => [3,1,7,6,4,5,2] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[7,1,6,2,3,4,5] => [3,5,6,7,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,2,3,5,4] => [3,5,6,1,7,4,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,1,6,2,4,3,5] => [3,5,7,6,1,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,1,6,2,4,5,3] => [3,5,1,6,7,4,2] => {{1,3},{2,5,7},{4,6}} => {{1,3,6},{2,4},{5,7}} => 0
[7,1,6,2,5,3,4] => [3,5,7,1,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,2,5,4,3] => [3,5,1,7,6,4,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,6,3,2,4,5] => [3,6,5,7,1,4,2] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[7,1,6,3,2,5,4] => [3,6,5,1,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,3,4,2,5] => [3,7,5,6,1,4,2] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 0
[7,1,6,3,4,5,2] => [3,1,5,6,7,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,1,6,3,5,2,4] => [3,7,5,1,6,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,6,3,5,4,2] => [3,1,5,7,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,4,2,3,5] => [3,6,7,5,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,4,2,5,3] => [3,6,1,5,7,4,2] => {{1,3},{2,4,5,6,7}} => {{1,6},{2},{3},{4},{5,7}} => 0
[7,1,6,4,3,2,5] => [3,7,6,5,1,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,1,6,4,3,5,2] => [3,1,6,5,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,1,6,4,5,2,3] => [3,7,1,5,6,4,2] => {{1,3},{2,7},{4,5,6}} => {{1,6},{2,5,7},{3},{4}} => 0
[7,1,6,4,5,3,2] => [3,1,7,5,6,4,2] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[7,1,6,5,2,3,4] => [3,6,7,1,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,6,5,2,4,3] => [3,6,1,7,5,4,2] => {{1,3},{2,4,6,7},{5}} => {{1,6},{2},{3,4},{5,7}} => 1
[7,1,6,5,3,2,4] => [3,7,6,1,5,4,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,1,6,5,3,4,2] => [3,1,6,7,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,1,6,5,4,2,3] => [3,7,1,6,5,4,2] => {{1,3},{2,7},{4,6},{5}} => {{1,6},{2,5,7},{3,4}} => 1
[7,1,6,5,4,3,2] => [3,1,7,6,5,4,2] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[7,2,1,3,4,5,6] => [4,3,5,6,7,1,2] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[7,2,1,3,4,6,5] => [4,3,5,6,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,3,5,4,6] => [4,3,5,7,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,3,5,6,4] => [4,3,5,1,6,7,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,2,1,3,6,4,5] => [4,3,5,7,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,1,3,6,5,4] => [4,3,5,1,7,6,2] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[7,2,1,4,3,5,6] => [4,3,6,5,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,4,3,6,5] => [4,3,6,5,1,7,2] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[7,2,1,4,5,3,6] => [4,3,7,5,6,1,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,1,4,5,6,3] => [4,3,1,5,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,4,6,3,5] => [4,3,7,5,1,6,2] => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 1
[7,2,1,4,6,5,3] => [4,3,1,5,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,1,5,3,4,6] => [4,3,6,7,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,1,5,3,6,4] => [4,3,6,1,5,7,2] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[7,2,1,5,4,3,6] => [4,3,7,6,5,1,2] => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 1
[7,2,1,5,4,6,3] => [4,3,1,6,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,1,5,6,3,4] => [4,3,7,1,5,6,2] => {{1,4},{2,3,7},{5},{6}} => {{1,5},{2,3,4,7},{6}} => 2
[7,2,1,5,6,4,3] => [4,3,1,7,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,2,1,6,3,4,5] => [4,3,6,7,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,6,3,5,4] => [4,3,6,1,7,5,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,2,1,6,4,3,5] => [4,3,7,6,1,5,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,1,6,4,5,3] => [4,3,1,6,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,1,6,5,3,4] => [4,3,7,1,6,5,2] => {{1,4},{2,3,7},{5,6}} => {{1,5},{2,4,7},{3},{6}} => 0
[7,2,1,6,5,4,3] => [4,3,1,7,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,2,3,1,4,5,6] => [5,3,4,6,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,1,4,6,5] => [5,3,4,6,1,7,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,2,3,1,5,4,6] => [5,3,4,7,6,1,2] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[7,2,3,1,5,6,4] => [5,3,4,1,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,1,6,4,5] => [5,3,4,7,1,6,2] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[7,2,3,1,6,5,4] => [5,3,4,1,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,3,4,1,5,6] => [6,3,4,5,7,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,2,3,4,1,6,5] => [6,3,4,5,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,4,5,1,6] => [7,3,4,5,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,4,5,6,1] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,3,4,6,1,5] => [7,3,4,5,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,3,4,6,5,1] => [1,3,4,5,7,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,2,3,5,1,4,6] => [6,3,4,7,5,1,2] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[7,2,3,5,1,6,4] => [6,3,4,1,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,3,5,4,1,6] => [7,3,4,6,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,3,5,4,6,1] => [1,3,4,6,5,7,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,2,3,5,6,1,4] => [7,3,4,1,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,2,3,5,6,4,1] => [1,3,4,7,5,6,2] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[7,2,3,6,1,4,5] => [6,3,4,7,1,5,2] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[7,2,3,6,1,5,4] => [6,3,4,1,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,6,4,1,5] => [7,3,4,6,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,3,6,4,5,1] => [1,3,4,6,7,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,3,6,5,1,4] => [7,3,4,1,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,2,3,6,5,4,1] => [1,3,4,7,6,5,2] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[7,2,4,1,3,5,6] => [5,3,6,4,7,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,1,3,6,5] => [5,3,6,4,1,7,2] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[7,2,4,1,5,3,6] => [5,3,7,4,6,1,2] => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 1
[7,2,4,1,5,6,3] => [5,3,1,4,6,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,1,6,3,5] => [5,3,7,4,1,6,2] => {{1,5},{2,3,7},{4},{6}} => {{1,4,5},{2,3,7},{6}} => 2
[7,2,4,1,6,5,3] => [5,3,1,4,7,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,2,4,3,1,5,6] => [6,3,5,4,7,1,2] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[7,2,4,3,1,6,5] => [6,3,5,4,1,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,3,5,1,6] => [7,3,5,4,6,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,3,5,6,1] => [1,3,5,4,6,7,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,2,4,3,6,1,5] => [7,3,5,4,1,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,2,4,3,6,5,1] => [1,3,5,4,7,6,2] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[7,2,4,5,1,3,6] => [6,3,7,4,5,1,2] => {{1,6},{2,3,7},{4},{5}} => {{1,3,4,5},{2,7},{6}} => 2
[7,2,4,5,1,6,3] => [6,3,1,4,5,7,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,2,4,5,3,1,6] => [7,3,6,4,5,1,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,2,4,5,3,6,1] => [1,3,6,4,5,7,2] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[7,2,4,5,6,1,3] => [7,3,1,4,5,6,2] => {{1,2,3,7},{4},{5},{6}} => {{1},{2,3,4,5},{6},{7}} => 3
[7,2,4,5,6,3,1] => [1,3,7,4,5,6,2] => {{1},{2,3,7},{4},{5},{6}} => {{1,7},{2,3,4,5},{6}} => 4
[7,2,4,6,1,3,5] => [6,3,7,4,1,5,2] => {{1,5,6},{2,3,7},{4}} => {{1,4,5},{2,7},{3},{6}} => 1
[7,2,4,6,1,5,3] => [6,3,1,4,7,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,6,3,1,5] => [7,3,6,4,1,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,2,4,6,3,5,1] => [1,3,6,4,7,5,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,2,4,6,5,1,3] => [7,3,1,4,6,5,2] => {{1,2,3,7},{4},{5,6}} => {{1},{2,4,5},{3},{6},{7}} => 1
[7,2,4,6,5,3,1] => [1,3,7,4,6,5,2] => {{1},{2,3,7},{4},{5,6}} => {{1,7},{2,4,5},{3},{6}} => 2
[7,2,5,1,3,4,6] => [5,3,6,7,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,1,3,6,4] => [5,3,6,1,4,7,2] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[7,2,5,1,4,3,6] => [5,3,7,6,4,1,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,5,1,4,6,3] => [5,3,1,6,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,1,6,3,4] => [5,3,7,1,4,6,2] => {{1,4,5},{2,3,7},{6}} => {{1,5},{2,3,7},{4},{6}} => 1
[7,2,5,1,6,4,3] => [5,3,1,7,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,5,3,1,4,6] => [6,3,5,7,4,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,2,5,3,1,6,4] => [6,3,5,1,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,3,4,1,6] => [7,3,5,6,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,3,4,6,1] => [1,3,5,6,4,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,5,3,6,1,4] => [7,3,5,1,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,2,5,3,6,4,1] => [1,3,5,7,4,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,2,5,4,1,3,6] => [6,3,7,5,4,1,2] => {{1,6},{2,3,7},{4,5}} => {{1,3,5},{2,7},{4},{6}} => 0
[7,2,5,4,1,6,3] => [6,3,1,5,4,7,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,2,5,4,3,1,6] => [7,3,6,5,4,1,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,2,5,4,3,6,1] => [1,3,6,5,4,7,2] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[7,2,5,4,6,1,3] => [7,3,1,5,4,6,2] => {{1,2,3,7},{4,5},{6}} => {{1},{2,3,5},{4},{6},{7}} => 1
[7,2,5,4,6,3,1] => [1,3,7,5,4,6,2] => {{1},{2,3,7},{4,5},{6}} => {{1,7},{2,3,5},{4},{6}} => 2
[7,2,5,6,1,3,4] => [6,3,7,1,4,5,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,5,6,1,4,3] => [6,3,1,7,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,6,3,1,4] => [7,3,6,1,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,5,6,3,4,1] => [1,3,6,7,4,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,5,6,4,1,3] => [7,3,1,6,4,5,2] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[7,2,5,6,4,3,1] => [1,3,7,6,4,5,2] => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 1
[7,2,6,1,3,4,5] => [5,3,6,7,1,4,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,2,6,1,3,5,4] => [5,3,6,1,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,1,4,3,5] => [5,3,7,6,1,4,2] => {{1,5},{2,3,7},{4,6}} => {{1,5},{2,4},{3,7},{6}} => 0
[7,2,6,1,4,5,3] => [5,3,1,6,7,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,2,6,1,5,3,4] => [5,3,7,1,6,4,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,6,1,5,4,3] => [5,3,1,7,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,3,1,4,5] => [6,3,5,7,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,3,1,5,4] => [6,3,5,1,7,4,2] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[7,2,6,3,4,1,5] => [7,3,5,6,1,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,2,6,3,4,5,1] => [1,3,5,6,7,4,2] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[7,2,6,3,5,1,4] => [7,3,5,1,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,3,5,4,1] => [1,3,5,7,6,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,6,4,1,3,5] => [6,3,7,5,1,4,2] => {{1,4,5,6},{2,3,7}} => {{1,5},{2,7},{3},{4},{6}} => 0
[7,2,6,4,1,5,3] => [6,3,1,5,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,4,3,1,5] => [7,3,6,5,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,2,6,4,3,5,1] => [1,3,6,5,7,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,2,6,4,5,1,3] => [7,3,1,5,6,4,2] => {{1,2,3,7},{4,5,6}} => {{1},{2,5},{3},{4},{6},{7}} => 0
[7,2,6,4,5,3,1] => [1,3,7,5,6,4,2] => {{1},{2,3,7},{4,5,6}} => {{1,7},{2,5},{3},{4},{6}} => 1
[7,2,6,5,1,3,4] => [6,3,7,1,5,4,2] => {{1,4,6},{2,3,7},{5}} => {{1,5},{2,7},{3,4},{6}} => 1
[7,2,6,5,1,4,3] => [6,3,1,7,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,6,5,3,1,4] => [7,3,6,1,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,2,6,5,3,4,1] => [1,3,6,7,5,4,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,2,6,5,4,1,3] => [7,3,1,6,5,4,2] => {{1,2,3,7},{4,6},{5}} => {{1},{2,5},{3,4},{6},{7}} => 1
[7,2,6,5,4,3,1] => [1,3,7,6,5,4,2] => {{1},{2,3,7},{4,6},{5}} => {{1,7},{2,5},{3,4},{6}} => 2
[7,3,1,2,4,5,6] => [4,5,3,6,7,1,2] => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 1
[7,3,1,2,4,6,5] => [4,5,3,6,1,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,2,5,4,6] => [4,5,3,7,6,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,2,5,6,4] => [4,5,3,1,6,7,2] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[7,3,1,2,6,4,5] => [4,5,3,7,1,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,1,2,6,5,4] => [4,5,3,1,7,6,2] => {{1,4},{2,5,7},{3},{6}} => {{1,5,6},{2,3},{4,7}} => 2
[7,3,1,4,2,5,6] => [4,6,3,5,7,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,4,2,6,5] => [4,6,3,5,1,7,2] => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 1
[7,3,1,4,5,2,6] => [4,7,3,5,6,1,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,1,4,5,6,2] => [4,1,3,5,6,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,4,6,2,5] => [4,7,3,5,1,6,2] => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 2
[7,3,1,4,6,5,2] => [4,1,3,5,7,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,1,5,2,4,6] => [4,6,3,7,5,1,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,1,5,2,6,4] => [4,6,3,1,5,7,2] => {{1,4},{2,6,7},{3},{5}} => {{1,5,6},{2},{3,4,7}} => 2
[7,3,1,5,4,2,6] => [4,7,3,6,5,1,2] => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 2
[7,3,1,5,4,6,2] => [4,1,3,6,5,7,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,1,5,6,2,4] => [4,7,3,1,5,6,2] => {{1,4},{2,7},{3},{5},{6}} => {{1,5,6},{2,3,4,7}} => 3
[7,3,1,5,6,4,2] => [4,1,3,7,5,6,2] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[7,3,1,6,2,4,5] => [4,6,3,7,1,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,6,2,5,4] => [4,6,3,1,7,5,2] => {{1,4},{2,5,6,7},{3}} => {{1,5,6},{2},{3},{4,7}} => 1
[7,3,1,6,4,2,5] => [4,7,3,6,1,5,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,1,6,4,5,2] => [4,1,3,6,7,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,1,6,5,2,4] => [4,7,3,1,6,5,2] => {{1,4},{2,7},{3},{5,6}} => {{1,5,6},{2,4,7},{3}} => 1
[7,3,1,6,5,4,2] => [4,1,3,7,6,5,2] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[7,3,2,1,4,5,6] => [5,4,3,6,7,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,1,4,6,5] => [5,4,3,6,1,7,2] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[7,3,2,1,5,4,6] => [5,4,3,7,6,1,2] => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 1
[7,3,2,1,5,6,4] => [5,4,3,1,6,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,1,6,4,5] => [5,4,3,7,1,6,2] => {{1,5},{2,4,7},{3},{6}} => {{1,4},{2,3,7},{5,6}} => 2
[7,3,2,1,6,5,4] => [5,4,3,1,7,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,2,4,1,5,6] => [6,4,3,5,7,1,2] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[7,3,2,4,1,6,5] => [6,4,3,5,1,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,4,5,1,6] => [7,4,3,5,6,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,4,5,6,1] => [1,4,3,5,6,7,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,2,4,6,1,5] => [7,4,3,5,1,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,2,4,6,5,1] => [1,4,3,5,7,6,2] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[7,3,2,5,1,4,6] => [6,4,3,7,5,1,2] => {{1,6},{2,4,7},{3},{5}} => {{1,3,4},{2,7},{5,6}} => 2
[7,3,2,5,1,6,4] => [6,4,3,1,5,7,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,2,5,4,1,6] => [7,4,3,6,5,1,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,2,5,4,6,1] => [1,4,3,6,5,7,2] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,3,2,5,6,1,4] => [7,4,3,1,5,6,2] => {{1,2,4,7},{3},{5},{6}} => {{1},{2,3,4},{5,6},{7}} => 3
[7,3,2,5,6,4,1] => [1,4,3,7,5,6,2] => {{1},{2,4,7},{3},{5},{6}} => {{1,7},{2,3,4},{5,6}} => 4
[7,3,2,6,1,4,5] => [6,4,3,7,1,5,2] => {{1,5,6},{2,4,7},{3}} => {{1,4},{2,7},{3},{5,6}} => 1
[7,3,2,6,1,5,4] => [6,4,3,1,7,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,6,4,1,5] => [7,4,3,6,1,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,2,6,4,5,1] => [1,4,3,6,7,5,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,2,6,5,1,4] => [7,4,3,1,6,5,2] => {{1,2,4,7},{3},{5,6}} => {{1},{2,4},{3},{5,6},{7}} => 1
[7,3,2,6,5,4,1] => [1,4,3,7,6,5,2] => {{1},{2,4,7},{3},{5,6}} => {{1,7},{2,4},{3},{5,6}} => 2
[7,3,4,1,2,5,6] => [5,6,3,4,7,1,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,1,2,6,5] => [5,6,3,4,1,7,2] => {{1,5},{2,6,7},{3},{4}} => {{1,4,5,6},{2},{3,7}} => 2
[7,3,4,1,5,2,6] => [5,7,3,4,6,1,2] => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 2
[7,3,4,1,5,6,2] => [5,1,3,4,6,7,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,1,6,2,5] => [5,7,3,4,1,6,2] => {{1,5},{2,7},{3},{4},{6}} => {{1,4,5,6},{2,3,7}} => 3
[7,3,4,1,6,5,2] => [5,1,3,4,7,6,2] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[7,3,4,2,1,5,6] => [6,5,3,4,7,1,2] => {{1,6},{2,5,7},{3},{4}} => {{1,3},{2,7},{4,5,6}} => 2
[7,3,4,2,1,6,5] => [6,5,3,4,1,7,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,2,5,1,6] => [7,5,3,4,6,1,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,2,5,6,1] => [1,5,3,4,6,7,2] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[7,3,4,2,6,1,5] => [7,5,3,4,1,6,2] => {{1,2,5,7},{3},{4},{6}} => {{1},{2,3},{4,5,6},{7}} => 3
[7,3,4,2,6,5,1] => [1,5,3,4,7,6,2] => {{1},{2,5,7},{3},{4},{6}} => {{1,7},{2,3},{4,5,6}} => 4
[7,3,4,5,1,2,6] => [6,7,3,4,5,1,2] => {{1,6},{2,7},{3},{4},{5}} => {{1,3,4,5,6},{2,7}} => 3
[7,3,4,5,1,6,2] => [6,1,3,4,5,7,2] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[7,3,4,5,2,1,6] => [7,6,3,4,5,1,2] => {{1,2,6,7},{3},{4},{5}} => {{1},{2},{3,4,5,6},{7}} => 3
[7,3,4,5,2,6,1] => [1,6,3,4,5,7,2] => {{1},{2,6,7},{3},{4},{5}} => {{1,7},{2},{3,4,5,6}} => 4
[7,3,4,5,6,1,2] => [7,1,3,4,5,6,2] => {{1,2,7},{3},{4},{5},{6}} => {{1},{2,3,4,5,6},{7}} => 4
[7,3,4,5,6,2,1] => [1,7,3,4,5,6,2] => {{1},{2,7},{3},{4},{5},{6}} => {{1,7},{2,3,4,5,6}} => 5
[7,3,4,6,1,2,5] => [6,7,3,4,1,5,2] => {{1,5,6},{2,7},{3},{4}} => {{1,4,5,6},{2,7},{3}} => 2
[7,3,4,6,1,5,2] => [6,1,3,4,7,5,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,6,2,1,5] => [7,6,3,4,1,5,2] => {{1,2,5,6,7},{3},{4}} => {{1},{2},{3},{4,5,6},{7}} => 2
[7,3,4,6,2,5,1] => [1,6,3,4,7,5,2] => {{1},{2,5,6,7},{3},{4}} => {{1,7},{2},{3},{4,5,6}} => 3
[7,3,4,6,5,1,2] => [7,1,3,4,6,5,2] => {{1,2,7},{3},{4},{5,6}} => {{1},{2,4,5,6},{3},{7}} => 2
[7,3,4,6,5,2,1] => [1,7,3,4,6,5,2] => {{1},{2,7},{3},{4},{5,6}} => {{1,7},{2,4,5,6},{3}} => 3
[7,3,5,1,2,4,6] => [5,6,3,7,4,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,1,2,6,4] => [5,6,3,1,4,7,2] => {{1,4,5},{2,6,7},{3}} => {{1,5,6},{2},{3,7},{4}} => 1
[7,3,5,1,4,2,6] => [5,7,3,6,4,1,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,5,1,4,6,2] => [5,1,3,6,4,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,1,6,2,4] => [5,7,3,1,4,6,2] => {{1,4,5},{2,7},{3},{6}} => {{1,5,6},{2,3,7},{4}} => 2
[7,3,5,1,6,4,2] => [5,1,3,7,4,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,5,2,1,4,6] => [6,5,3,7,4,1,2] => {{1,6},{2,4,5,7},{3}} => {{1,3},{2,7},{4},{5,6}} => 1
[7,3,5,2,1,6,4] => [6,5,3,1,4,7,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,2,4,1,6] => [7,5,3,6,4,1,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,2,4,6,1] => [1,5,3,6,4,7,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,5,2,6,1,4] => [7,5,3,1,4,6,2] => {{1,2,4,5,7},{3},{6}} => {{1},{2,3},{4},{5,6},{7}} => 2
[7,3,5,2,6,4,1] => [1,5,3,7,4,6,2] => {{1},{2,4,5,7},{3},{6}} => {{1,7},{2,3},{4},{5,6}} => 3
[7,3,5,4,1,2,6] => [6,7,3,5,4,1,2] => {{1,6},{2,7},{3},{4,5}} => {{1,3,5,6},{2,7},{4}} => 1
[7,3,5,4,1,6,2] => [6,1,3,5,4,7,2] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[7,3,5,4,2,1,6] => [7,6,3,5,4,1,2] => {{1,2,6,7},{3},{4,5}} => {{1},{2},{3,5,6},{4},{7}} => 1
[7,3,5,4,2,6,1] => [1,6,3,5,4,7,2] => {{1},{2,6,7},{3},{4,5}} => {{1,7},{2},{3,5,6},{4}} => 2
[7,3,5,4,6,1,2] => [7,1,3,5,4,6,2] => {{1,2,7},{3},{4,5},{6}} => {{1},{2,3,5,6},{4},{7}} => 2
[7,3,5,4,6,2,1] => [1,7,3,5,4,6,2] => {{1},{2,7},{3},{4,5},{6}} => {{1,7},{2,3,5,6},{4}} => 3
[7,3,5,6,1,2,4] => [6,7,3,1,4,5,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,5,6,1,4,2] => [6,1,3,7,4,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,6,2,1,4] => [7,6,3,1,4,5,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,5,6,2,4,1] => [1,6,3,7,4,5,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,5,6,4,1,2] => [7,1,3,6,4,5,2] => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 1
[7,3,5,6,4,2,1] => [1,7,3,6,4,5,2] => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 2
[7,3,6,1,2,4,5] => [5,6,3,7,1,4,2] => {{1,5},{2,4,6,7},{3}} => {{1,4},{2},{3,7},{5,6}} => 1
[7,3,6,1,2,5,4] => [5,6,3,1,7,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,1,4,2,5] => [5,7,3,6,1,4,2] => {{1,5},{2,7},{3},{4,6}} => {{1,5,6},{2,4},{3,7}} => 1
[7,3,6,1,4,5,2] => [5,1,3,6,7,4,2] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[7,3,6,1,5,2,4] => [5,7,3,1,6,4,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,6,1,5,4,2] => [5,1,3,7,6,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,2,1,4,5] => [6,5,3,7,1,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,2,1,5,4] => [6,5,3,1,7,4,2] => {{1,4,6},{2,5,7},{3}} => {{1,3,5,6},{2,4,7}} => 1
[7,3,6,2,4,1,5] => [7,5,3,6,1,4,2] => {{1,2,5,7},{3},{4,6}} => {{1},{2,4},{3,5,6},{7}} => 1
[7,3,6,2,4,5,1] => [1,5,3,6,7,4,2] => {{1},{2,5,7},{3},{4,6}} => {{1,7},{2,4},{3,5,6}} => 2
[7,3,6,2,5,1,4] => [7,5,3,1,6,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,2,5,4,1] => [1,5,3,7,6,4,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,6,4,1,2,5] => [6,7,3,5,1,4,2] => {{1,4,5,6},{2,7},{3}} => {{1,5,6},{2,7},{3},{4}} => 1
[7,3,6,4,1,5,2] => [6,1,3,5,7,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,4,2,1,5] => [7,6,3,5,1,4,2] => {{1,2,4,5,6,7},{3}} => {{1},{2},{3},{4},{5,6},{7}} => 1
[7,3,6,4,2,5,1] => [1,6,3,5,7,4,2] => {{1},{2,4,5,6,7},{3}} => {{1,7},{2},{3},{4},{5,6}} => 2
[7,3,6,4,5,1,2] => [7,1,3,5,6,4,2] => {{1,2,7},{3},{4,5,6}} => {{1},{2,5,6},{3},{4},{7}} => 1
[7,3,6,4,5,2,1] => [1,7,3,5,6,4,2] => {{1},{2,7},{3},{4,5,6}} => {{1,7},{2,5,6},{3},{4}} => 2
[7,3,6,5,1,2,4] => [6,7,3,1,5,4,2] => {{1,4,6},{2,7},{3},{5}} => {{1,5,6},{2,7},{3,4}} => 2
[7,3,6,5,1,4,2] => [6,1,3,7,5,4,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,6,5,2,1,4] => [7,6,3,1,5,4,2] => {{1,2,4,6,7},{3},{5}} => {{1},{2},{3,4},{5,6},{7}} => 2
[7,3,6,5,2,4,1] => [1,6,3,7,5,4,2] => {{1},{2,4,6,7},{3},{5}} => {{1,7},{2},{3,4},{5,6}} => 3
[7,3,6,5,4,1,2] => [7,1,3,6,5,4,2] => {{1,2,7},{3},{4,6},{5}} => {{1},{2,5,6},{3,4},{7}} => 2
[7,3,6,5,4,2,1] => [1,7,3,6,5,4,2] => {{1},{2,7},{3},{4,6},{5}} => {{1,7},{2,5,6},{3,4}} => 3
[7,4,1,2,3,5,6] => [4,5,6,3,7,1,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,4,1,2,3,6,5] => [4,5,6,3,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,2,5,3,6] => [4,5,7,3,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,2,5,6,3] => [4,5,1,3,6,7,2] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[7,4,1,2,6,3,5] => [4,5,7,3,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,1,2,6,5,3] => [4,5,1,3,7,6,2] => {{1,3,4},{2,5,7},{6}} => {{1,6},{2,3},{4,7},{5}} => 1
[7,4,1,3,2,5,6] => [4,6,5,3,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,3,2,6,5] => [4,6,5,3,1,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,4,1,3,5,2,6] => [4,7,5,3,6,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,1,3,5,6,2] => [4,1,5,3,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,3,6,2,5] => [4,7,5,3,1,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,4,1,3,6,5,2] => [4,1,5,3,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,1,5,2,3,6] => [4,6,7,3,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,1,5,2,6,3] => [4,6,1,3,5,7,2] => {{1,3,4},{2,6,7},{5}} => {{1,6},{2},{3,4,7},{5}} => 1
[7,4,1,5,3,2,6] => [4,7,6,3,5,1,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,4,1,5,3,6,2] => [4,1,6,3,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,1,5,6,2,3] => [4,7,1,3,5,6,2] => {{1,3,4},{2,7},{5},{6}} => {{1,6},{2,3,4,7},{5}} => 2
[7,4,1,5,6,3,2] => [4,1,7,3,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,4,1,6,2,3,5] => [4,6,7,3,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,6,2,5,3] => [4,6,1,3,7,5,2] => {{1,3,4},{2,5,6,7}} => {{1,6},{2},{3},{4,7},{5}} => 0
[7,4,1,6,3,2,5] => [4,7,6,3,1,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,1,6,3,5,2] => [4,1,6,3,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,1,6,5,2,3] => [4,7,1,3,6,5,2] => {{1,3,4},{2,7},{5,6}} => {{1,6},{2,4,7},{3},{5}} => 0
[7,4,1,6,5,3,2] => [4,1,7,3,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,4,2,1,3,5,6] => [5,4,6,3,7,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,1,3,6,5] => [5,4,6,3,1,7,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,4,2,1,5,3,6] => [5,4,7,3,6,1,2] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[7,4,2,1,5,6,3] => [5,4,1,3,6,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,1,6,3,5] => [5,4,7,3,1,6,2] => {{1,5},{2,3,4,7},{6}} => {{1,4},{2,3,7},{5},{6}} => 1
[7,4,2,1,6,5,3] => [5,4,1,3,7,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,2,3,1,5,6] => [6,4,5,3,7,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,4,2,3,1,6,5] => [6,4,5,3,1,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,3,5,1,6] => [7,4,5,3,6,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,3,5,6,1] => [1,4,5,3,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,2,3,6,1,5] => [7,4,5,3,1,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,2,3,6,5,1] => [1,4,5,3,7,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,4,2,5,1,3,6] => [6,4,7,3,5,1,2] => {{1,6},{2,3,4,7},{5}} => {{1,3,4},{2,7},{5},{6}} => 1
[7,4,2,5,1,6,3] => [6,4,1,3,5,7,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,2,5,3,1,6] => [7,4,6,3,5,1,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,2,5,3,6,1] => [1,4,6,3,5,7,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,4,2,5,6,1,3] => [7,4,1,3,5,6,2] => {{1,2,3,4,7},{5},{6}} => {{1},{2,3,4},{5},{6},{7}} => 2
[7,4,2,5,6,3,1] => [1,4,7,3,5,6,2] => {{1},{2,3,4,7},{5},{6}} => {{1,7},{2,3,4},{5},{6}} => 3
[7,4,2,6,1,3,5] => [6,4,7,3,1,5,2] => {{1,5,6},{2,3,4,7}} => {{1,4},{2,7},{3},{5},{6}} => 0
[7,4,2,6,1,5,3] => [6,4,1,3,7,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,6,3,1,5] => [7,4,6,3,1,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,2,6,3,5,1] => [1,4,6,3,7,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,2,6,5,1,3] => [7,4,1,3,6,5,2] => {{1,2,3,4,7},{5,6}} => {{1},{2,4},{3},{5},{6},{7}} => 0
[7,4,2,6,5,3,1] => [1,4,7,3,6,5,2] => {{1},{2,3,4,7},{5,6}} => {{1,7},{2,4},{3},{5},{6}} => 1
[7,4,3,1,2,5,6] => [5,6,4,3,7,1,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,1,2,6,5] => [5,6,4,3,1,7,2] => {{1,5},{2,6,7},{3,4}} => {{1,4,6},{2},{3,7},{5}} => 0
[7,4,3,1,5,2,6] => [5,7,4,3,6,1,2] => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 0
[7,4,3,1,5,6,2] => [5,1,4,3,6,7,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,1,6,2,5] => [5,7,4,3,1,6,2] => {{1,5},{2,7},{3,4},{6}} => {{1,4,6},{2,3,7},{5}} => 1
[7,4,3,1,6,5,2] => [5,1,4,3,7,6,2] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[7,4,3,2,1,5,6] => [6,5,4,3,7,1,2] => {{1,6},{2,5,7},{3,4}} => {{1,3},{2,7},{4,6},{5}} => 0
[7,4,3,2,1,6,5] => [6,5,4,3,1,7,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,2,5,1,6] => [7,5,4,3,6,1,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,2,5,6,1] => [1,5,4,3,6,7,2] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[7,4,3,2,6,1,5] => [7,5,4,3,1,6,2] => {{1,2,5,7},{3,4},{6}} => {{1},{2,3},{4,6},{5},{7}} => 1
[7,4,3,2,6,5,1] => [1,5,4,3,7,6,2] => {{1},{2,5,7},{3,4},{6}} => {{1,7},{2,3},{4,6},{5}} => 2
[7,4,3,5,1,2,6] => [6,7,4,3,5,1,2] => {{1,6},{2,7},{3,4},{5}} => {{1,3,4,6},{2,7},{5}} => 1
[7,4,3,5,1,6,2] => [6,1,4,3,5,7,2] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[7,4,3,5,2,1,6] => [7,6,4,3,5,1,2] => {{1,2,6,7},{3,4},{5}} => {{1},{2},{3,4,6},{5},{7}} => 1
[7,4,3,5,2,6,1] => [1,6,4,3,5,7,2] => {{1},{2,6,7},{3,4},{5}} => {{1,7},{2},{3,4,6},{5}} => 2
[7,4,3,5,6,1,2] => [7,1,4,3,5,6,2] => {{1,2,7},{3,4},{5},{6}} => {{1},{2,3,4,6},{5},{7}} => 2
[7,4,3,5,6,2,1] => [1,7,4,3,5,6,2] => {{1},{2,7},{3,4},{5},{6}} => {{1,7},{2,3,4,6},{5}} => 3
[7,4,3,6,1,2,5] => [6,7,4,3,1,5,2] => {{1,5,6},{2,7},{3,4}} => {{1,4,6},{2,7},{3},{5}} => 0
[7,4,3,6,1,5,2] => [6,1,4,3,7,5,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,6,2,1,5] => [7,6,4,3,1,5,2] => {{1,2,5,6,7},{3,4}} => {{1},{2},{3},{4,6},{5},{7}} => 0
[7,4,3,6,2,5,1] => [1,6,4,3,7,5,2] => {{1},{2,5,6,7},{3,4}} => {{1,7},{2},{3},{4,6},{5}} => 1
[7,4,3,6,5,1,2] => [7,1,4,3,6,5,2] => {{1,2,7},{3,4},{5,6}} => {{1},{2,4,6},{3},{5},{7}} => 0
[7,4,3,6,5,2,1] => [1,7,4,3,6,5,2] => {{1},{2,7},{3,4},{5,6}} => {{1,7},{2,4,6},{3},{5}} => 1
[7,4,5,1,2,3,6] => [5,6,7,3,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,1,2,6,3] => [5,6,1,3,4,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,4,5,1,3,2,6] => [5,7,6,3,4,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,5,1,3,6,2] => [5,1,6,3,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,1,6,2,3] => [5,7,1,3,4,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,4,5,1,6,3,2] => [5,1,7,3,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,5,2,1,3,6] => [6,5,7,3,4,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,4,5,2,1,6,3] => [6,5,1,3,4,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,2,3,1,6] => [7,5,6,3,4,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,2,3,6,1] => [1,5,6,3,4,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,5,2,6,1,3] => [7,5,1,3,4,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,4,5,2,6,3,1] => [1,5,7,3,4,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,4,5,3,1,2,6] => [6,7,5,3,4,1,2] => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 0
[7,4,5,3,1,6,2] => [6,1,5,3,4,7,2] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[7,4,5,3,2,1,6] => [7,6,5,3,4,1,2] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[7,4,5,3,2,6,1] => [1,6,5,3,4,7,2] => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 1
[7,4,5,3,6,1,2] => [7,1,5,3,4,6,2] => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 1
[7,4,5,3,6,2,1] => [1,7,5,3,4,6,2] => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 2
[7,4,5,6,1,2,3] => [6,7,1,3,4,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,5,6,1,3,2] => [6,1,7,3,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,6,2,1,3] => [7,6,1,3,4,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,5,6,2,3,1] => [1,6,7,3,4,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,5,6,3,1,2] => [7,1,6,3,4,5,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,4,5,6,3,2,1] => [1,7,6,3,4,5,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,4,6,1,2,3,5] => [5,6,7,3,1,4,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,4,6,1,2,5,3] => [5,6,1,3,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,1,3,2,5] => [5,7,6,3,1,4,2] => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 0
[7,4,6,1,3,5,2] => [5,1,6,3,7,4,2] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[7,4,6,1,5,2,3] => [5,7,1,3,6,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,6,1,5,3,2] => [5,1,7,3,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,2,1,3,5] => [6,5,7,3,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,2,1,5,3] => [6,5,1,3,7,4,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,4,6,2,3,1,5] => [7,5,6,3,1,4,2] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[7,4,6,2,3,5,1] => [1,5,6,3,7,4,2] => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 1
[7,4,6,2,5,1,3] => [7,5,1,3,6,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,2,5,3,1] => [1,5,7,3,6,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,6,3,1,2,5] => [6,7,5,3,1,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,4,6,3,1,5,2] => [6,1,5,3,7,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,3,2,1,5] => [7,6,5,3,1,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,4,6,3,2,5,1] => [1,6,5,3,7,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,4,6,3,5,1,2] => [7,1,5,3,6,4,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,4,6,3,5,2,1] => [1,7,5,3,6,4,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,4,6,5,1,2,3] => [6,7,1,3,5,4,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,4,6,5,1,3,2] => [6,1,7,3,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,6,5,2,1,3] => [7,6,1,3,5,4,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,4,6,5,2,3,1] => [1,6,7,3,5,4,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,4,6,5,3,1,2] => [7,1,6,3,5,4,2] => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 1
[7,4,6,5,3,2,1] => [1,7,6,3,5,4,2] => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 2
[7,5,1,2,3,4,6] => [4,5,6,7,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,1,2,3,6,4] => [4,5,6,1,3,7,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,5,1,2,4,3,6] => [4,5,7,6,3,1,2] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[7,5,1,2,4,6,3] => [4,5,1,6,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,1,2,6,3,4] => [4,5,7,1,3,6,2] => {{1,4},{2,3,5,7},{6}} => {{1,5},{2,3},{4,7},{6}} => 1
[7,5,1,2,6,4,3] => [4,5,1,7,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,1,3,2,4,6] => [4,6,5,7,3,1,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,1,3,2,6,4] => [4,6,5,1,3,7,2] => {{1,4},{2,6,7},{3,5}} => {{1,6},{2},{3,5},{4,7}} => 0
[7,5,1,3,4,2,6] => [4,7,5,6,3,1,2] => {{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 0
[7,5,1,3,4,6,2] => [4,1,5,6,3,7,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,1,3,6,2,4] => [4,7,5,1,3,6,2] => {{1,4},{2,7},{3,5},{6}} => {{1,6},{2,3,5},{4,7}} => 1
[7,5,1,3,6,4,2] => [4,1,5,7,3,6,2] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[7,5,1,4,2,3,6] => [4,6,7,5,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,1,4,2,6,3] => [4,6,1,5,3,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,5,1,4,3,2,6] => [4,7,6,5,3,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,1,4,3,6,2] => [4,1,6,5,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,1,4,6,2,3] => [4,7,1,5,3,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,5,1,4,6,3,2] => [4,1,7,5,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,1,6,2,3,4] => [4,6,7,1,3,5,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,5,1,6,2,4,3] => [4,6,1,7,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,1,6,3,2,4] => [4,7,6,1,3,5,2] => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 0
[7,5,1,6,3,4,2] => [4,1,6,7,3,5,2] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[7,5,1,6,4,2,3] => [4,7,1,6,3,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,1,6,4,3,2] => [4,1,7,6,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,1,3,4,6] => [5,4,6,7,3,1,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,5,2,1,3,6,4] => [5,4,6,1,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,1,4,3,6] => [5,4,7,6,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,1,4,6,3] => [5,4,1,6,3,7,2] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[7,5,2,1,6,3,4] => [5,4,7,1,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,2,1,6,4,3] => [5,4,1,7,3,6,2] => {{1,3,5},{2,4,7},{6}} => {{1,4,6},{2,3,5,7}} => 1
[7,5,2,3,1,4,6] => [6,4,5,7,3,1,2] => {{1,6},{2,4,7},{3,5}} => {{1,4,6},{2,7},{3,5}} => 0
[7,5,2,3,1,6,4] => [6,4,5,1,3,7,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,2,3,4,1,6] => [7,4,5,6,3,1,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,2,3,4,6,1] => [1,4,5,6,3,7,2] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[7,5,2,3,6,1,4] => [7,4,5,1,3,6,2] => {{1,2,4,7},{3,5},{6}} => {{1},{2,3,5},{4,6},{7}} => 1
[7,5,2,3,6,4,1] => [1,4,5,7,3,6,2] => {{1},{2,4,7},{3,5},{6}} => {{1,7},{2,3,5},{4,6}} => 2
[7,5,2,4,1,3,6] => [6,4,7,5,3,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,5,2,4,1,6,3] => [6,4,1,5,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,4,3,1,6] => [7,4,6,5,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,4,3,6,1] => [1,4,6,5,3,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,2,4,6,1,3] => [7,4,1,5,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,2,4,6,3,1] => [1,4,7,5,3,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,5,2,6,1,3,4] => [6,4,7,1,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,6,1,4,3] => [6,4,1,7,3,5,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,5,2,6,3,1,4] => [7,4,6,1,3,5,2] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[7,5,2,6,3,4,1] => [1,4,6,7,3,5,2] => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 1
[7,5,2,6,4,1,3] => [7,4,1,6,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,2,6,4,3,1] => [1,4,7,6,3,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,3,1,2,4,6] => [5,6,4,7,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,1,2,6,4] => [5,6,4,1,3,7,2] => {{1,3,4,5},{2,6,7}} => {{1,6},{2},{3,7},{4},{5}} => 0
[7,5,3,1,4,2,6] => [5,7,4,6,3,1,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,3,1,4,6,2] => [5,1,4,6,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,1,6,2,4] => [5,7,4,1,3,6,2] => {{1,3,4,5},{2,7},{6}} => {{1,6},{2,3,7},{4},{5}} => 1
[7,5,3,1,6,4,2] => [5,1,4,7,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,3,2,1,4,6] => [6,5,4,7,3,1,2] => {{1,6},{2,3,4,5,7}} => {{1,3},{2,7},{4},{5},{6}} => 0
[7,5,3,2,1,6,4] => [6,5,4,1,3,7,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,2,4,1,6] => [7,5,4,6,3,1,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,2,4,6,1] => [1,5,4,6,3,7,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,3,2,6,1,4] => [7,5,4,1,3,6,2] => {{1,2,3,4,5,7},{6}} => {{1},{2,3},{4},{5},{6},{7}} => 1
[7,5,3,2,6,4,1] => [1,5,4,7,3,6,2] => {{1},{2,3,4,5,7},{6}} => {{1,7},{2,3},{4},{5},{6}} => 2
[7,5,3,4,1,2,6] => [6,7,4,5,3,1,2] => {{1,6},{2,7},{3,4,5}} => {{1,3,6},{2,7},{4},{5}} => 0
[7,5,3,4,1,6,2] => [6,1,4,5,3,7,2] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[7,5,3,4,2,1,6] => [7,6,4,5,3,1,2] => {{1,2,6,7},{3,4,5}} => {{1},{2},{3,6},{4},{5},{7}} => 0
[7,5,3,4,2,6,1] => [1,6,4,5,3,7,2] => {{1},{2,6,7},{3,4,5}} => {{1,7},{2},{3,6},{4},{5}} => 1
[7,5,3,4,6,1,2] => [7,1,4,5,3,6,2] => {{1,2,7},{3,4,5},{6}} => {{1},{2,3,6},{4},{5},{7}} => 1
[7,5,3,4,6,2,1] => [1,7,4,5,3,6,2] => {{1},{2,7},{3,4,5},{6}} => {{1,7},{2,3,6},{4},{5}} => 2
[7,5,3,6,1,2,4] => [6,7,4,1,3,5,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,3,6,1,4,2] => [6,1,4,7,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,6,2,1,4] => [7,6,4,1,3,5,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,3,6,2,4,1] => [1,6,4,7,3,5,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,3,6,4,1,2] => [7,1,4,6,3,5,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,5,3,6,4,2,1] => [1,7,4,6,3,5,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,5,4,1,2,3,6] => [5,6,7,4,3,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,1,2,6,3] => [5,6,1,4,3,7,2] => {{1,3,5},{2,6,7},{4}} => {{1,6},{2},{3,7},{4,5}} => 1
[7,5,4,1,3,2,6] => [5,7,6,4,3,1,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,5,4,1,3,6,2] => [5,1,6,4,3,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,1,6,2,3] => [5,7,1,4,3,6,2] => {{1,3,5},{2,7},{4},{6}} => {{1,6},{2,3,7},{4,5}} => 2
[7,5,4,1,6,3,2] => [5,1,7,4,3,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,5,4,2,1,3,6] => [6,5,7,4,3,1,2] => {{1,6},{2,3,5,7},{4}} => {{1,3},{2,7},{4,5},{6}} => 1
[7,5,4,2,1,6,3] => [6,5,1,4,3,7,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,2,3,1,6] => [7,5,6,4,3,1,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,2,3,6,1] => [1,5,6,4,3,7,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,5,4,2,6,1,3] => [7,5,1,4,3,6,2] => {{1,2,3,5,7},{4},{6}} => {{1},{2,3},{4,5},{6},{7}} => 2
[7,5,4,2,6,3,1] => [1,5,7,4,3,6,2] => {{1},{2,3,5,7},{4},{6}} => {{1,7},{2,3},{4,5},{6}} => 3
[7,5,4,3,1,2,6] => [6,7,5,4,3,1,2] => {{1,6},{2,7},{3,5},{4}} => {{1,3,6},{2,7},{4,5}} => 1
[7,5,4,3,1,6,2] => [6,1,5,4,3,7,2] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[7,5,4,3,2,1,6] => [7,6,5,4,3,1,2] => {{1,2,6,7},{3,5},{4}} => {{1},{2},{3,6},{4,5},{7}} => 1
[7,5,4,3,2,6,1] => [1,6,5,4,3,7,2] => {{1},{2,6,7},{3,5},{4}} => {{1,7},{2},{3,6},{4,5}} => 2
[7,5,4,3,6,1,2] => [7,1,5,4,3,6,2] => {{1,2,7},{3,5},{4},{6}} => {{1},{2,3,6},{4,5},{7}} => 2
[7,5,4,3,6,2,1] => [1,7,5,4,3,6,2] => {{1},{2,7},{3,5},{4},{6}} => {{1,7},{2,3,6},{4,5}} => 3
[7,5,4,6,1,2,3] => [6,7,1,4,3,5,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,5,4,6,1,3,2] => [6,1,7,4,3,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,6,2,1,3] => [7,6,1,4,3,5,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,5,4,6,2,3,1] => [1,6,7,4,3,5,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,5,4,6,3,1,2] => [7,1,6,4,3,5,2] => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 1
[7,5,4,6,3,2,1] => [1,7,6,4,3,5,2] => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 2
[7,5,6,1,2,3,4] => [5,6,7,1,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,1,2,4,3] => [5,6,1,7,3,4,2] => {{1,3,5},{2,4,6,7}} => {{1,4,6},{2},{3,5,7}} => 0
[7,5,6,1,3,2,4] => [5,7,6,1,3,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,6,1,3,4,2] => [5,1,6,7,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,1,4,2,3] => [5,7,1,6,3,4,2] => {{1,3,5},{2,7},{4,6}} => {{1,6},{2,4},{3,5,7}} => 0
[7,5,6,1,4,3,2] => [5,1,7,6,3,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,5,6,2,1,3,4] => [6,5,7,1,3,4,2] => {{1,4,6},{2,3,5,7}} => {{1,3,5},{2,4,7},{6}} => 0
[7,5,6,2,1,4,3] => [6,5,1,7,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,2,3,1,4] => [7,5,6,1,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,2,3,4,1] => [1,5,6,7,3,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,6,2,4,1,3] => [7,5,1,6,3,4,2] => {{1,2,3,5,7},{4,6}} => {{1},{2,4},{3,5},{6},{7}} => 0
[7,5,6,2,4,3,1] => [1,5,7,6,3,4,2] => {{1},{2,3,5,7},{4,6}} => {{1,7},{2,4},{3,5},{6}} => 1
[7,5,6,3,1,2,4] => [6,7,5,1,3,4,2] => {{1,4,6},{2,7},{3,5}} => {{1,6},{2,4,7},{3,5}} => 0
[7,5,6,3,1,4,2] => [6,1,5,7,3,4,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,6,3,2,1,4] => [7,6,5,1,3,4,2] => {{1,2,4,6,7},{3,5}} => {{1},{2},{3,5},{4,6},{7}} => 0
[7,5,6,3,2,4,1] => [1,6,5,7,3,4,2] => {{1},{2,4,6,7},{3,5}} => {{1,7},{2},{3,5},{4,6}} => 1
[7,5,6,3,4,1,2] => [7,1,5,6,3,4,2] => {{1,2,7},{3,5},{4,6}} => {{1},{2,4,6},{3,5},{7}} => 0
[7,5,6,3,4,2,1] => [1,7,5,6,3,4,2] => {{1},{2,7},{3,5},{4,6}} => {{1,7},{2,4,6},{3,5}} => 1
[7,5,6,4,1,2,3] => [6,7,1,5,3,4,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,5,6,4,1,3,2] => [6,1,7,5,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,4,2,1,3] => [7,6,1,5,3,4,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,5,6,4,2,3,1] => [1,6,7,5,3,4,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,5,6,4,3,1,2] => [7,1,6,5,3,4,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,5,6,4,3,2,1] => [1,7,6,5,3,4,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,6,1,2,3,4,5] => [4,5,6,7,1,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,1,2,3,5,4] => [4,5,6,1,7,3,2] => {{1,4},{2,5,7},{3,6}} => {{1,3,6},{2,5},{4,7}} => 0
[7,6,1,2,4,3,5] => [4,5,7,6,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,2,4,5,3] => [4,5,1,6,7,3,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,6,1,2,5,3,4] => [4,5,7,1,6,3,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,6,1,2,5,4,3] => [4,5,1,7,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,3,2,4,5] => [4,6,5,7,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,3,2,5,4] => [4,6,5,1,7,3,2] => {{1,4},{2,3,5,6,7}} => {{1,5},{2},{3},{4,7},{6}} => 0
[7,6,1,3,4,2,5] => [4,7,5,6,1,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,1,3,4,5,2] => [4,1,5,6,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,3,5,2,4] => [4,7,5,1,6,3,2] => {{1,4},{2,7},{3,5,6}} => {{1,6},{2,5},{3},{4,7}} => 0
[7,6,1,3,5,4,2] => [4,1,5,7,6,3,2] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[7,6,1,4,2,3,5] => [4,6,7,5,1,3,2] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[7,6,1,4,2,5,3] => [4,6,1,5,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,4,3,2,5] => [4,7,6,5,1,3,2] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 0
[7,6,1,4,3,5,2] => [4,1,6,5,7,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,1,4,5,2,3] => [4,7,1,5,6,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,1,4,5,3,2] => [4,1,7,5,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,1,5,2,3,4] => [4,6,7,1,5,3,2] => {{1,4},{2,3,6,7},{5}} => {{1,5},{2},{3,4,7},{6}} => 1
[7,6,1,5,2,4,3] => [4,6,1,7,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,1,5,3,2,4] => [4,7,6,1,5,3,2] => {{1,4},{2,7},{3,6},{5}} => {{1,6},{2,5},{3,4,7}} => 1
[7,6,1,5,3,4,2] => [4,1,6,7,5,3,2] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[7,6,1,5,4,2,3] => [4,7,1,6,5,3,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,6,1,5,4,3,2] => [4,1,7,6,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,2,1,3,4,5] => [5,4,6,7,1,3,2] => {{1,5},{2,4,7},{3,6}} => {{1,4,6},{2,5},{3,7}} => 0
[7,6,2,1,3,5,4] => [5,4,6,1,7,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,2,1,4,3,5] => [5,4,7,6,1,3,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,6,2,1,4,5,3] => [5,4,1,6,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,1,5,3,4] => [5,4,7,1,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,1,5,4,3] => [5,4,1,7,6,3,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,6,2,3,1,4,5] => [6,4,5,7,1,3,2] => {{1,3,5,6},{2,4,7}} => {{1,4,6},{2,5,7},{3}} => 0
[7,6,2,3,1,5,4] => [6,4,5,1,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,3,4,1,5] => [7,4,5,6,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,3,4,5,1] => [1,4,5,6,7,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,2,3,5,1,4] => [7,4,5,1,6,3,2] => {{1,2,4,7},{3,5,6}} => {{1},{2,5},{3},{4,6},{7}} => 0
[7,6,2,3,5,4,1] => [1,4,5,7,6,3,2] => {{1},{2,4,7},{3,5,6}} => {{1,7},{2,5},{3},{4,6}} => 1
[7,6,2,4,1,3,5] => [6,4,7,5,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,4,1,5,3] => [6,4,1,5,7,3,2] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[7,6,2,4,3,1,5] => [7,4,6,5,1,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,2,4,3,5,1] => [1,4,6,5,7,3,2] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[7,6,2,4,5,1,3] => [7,4,1,5,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,2,4,5,3,1] => [1,4,7,5,6,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,2,5,1,3,4] => [6,4,7,1,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,2,5,1,4,3] => [6,4,1,7,5,3,2] => {{1,3,6},{2,4,7},{5}} => {{1,3,4,6},{2,5,7}} => 1
[7,6,2,5,3,1,4] => [7,4,6,1,5,3,2] => {{1,2,4,7},{3,6},{5}} => {{1},{2,5},{3,4,6},{7}} => 1
[7,6,2,5,3,4,1] => [1,4,6,7,5,3,2] => {{1},{2,4,7},{3,6},{5}} => {{1,7},{2,5},{3,4,6}} => 2
[7,6,2,5,4,1,3] => [7,4,1,6,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,2,5,4,3,1] => [1,4,7,6,5,3,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,6,3,1,2,4,5] => [5,6,4,7,1,3,2] => {{1,5},{2,3,4,6,7}} => {{1,4},{2},{3,7},{5},{6}} => 0
[7,6,3,1,2,5,4] => [5,6,4,1,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,1,4,2,5] => [5,7,4,6,1,3,2] => {{1,5},{2,7},{3,4,6}} => {{1,6},{2,4},{3,7},{5}} => 0
[7,6,3,1,4,5,2] => [5,1,4,6,7,3,2] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[7,6,3,1,5,2,4] => [5,7,4,1,6,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,3,1,5,4,2] => [5,1,4,7,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,2,1,4,5] => [6,5,4,7,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,2,1,5,4] => [6,5,4,1,7,3,2] => {{1,3,4,6},{2,5,7}} => {{1,3,6},{2,4,7},{5}} => 0
[7,6,3,2,4,1,5] => [7,5,4,6,1,3,2] => {{1,2,5,7},{3,4,6}} => {{1},{2,4},{3,6},{5},{7}} => 0
[7,6,3,2,4,5,1] => [1,5,4,6,7,3,2] => {{1},{2,5,7},{3,4,6}} => {{1,7},{2,4},{3,6},{5}} => 1
[7,6,3,2,5,1,4] => [7,5,4,1,6,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,2,5,4,1] => [1,5,4,7,6,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,3,4,1,2,5] => [6,7,4,5,1,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,3,4,1,5,2] => [6,1,4,5,7,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,4,2,1,5] => [7,6,4,5,1,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,3,4,2,5,1] => [1,6,4,5,7,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,3,4,5,1,2] => [7,1,4,5,6,3,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,6,3,4,5,2,1] => [1,7,4,5,6,3,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,6,3,5,1,2,4] => [6,7,4,1,5,3,2] => {{1,3,4,6},{2,7},{5}} => {{1,6},{2,7},{3,4},{5}} => 1
[7,6,3,5,1,4,2] => [6,1,4,7,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,3,5,2,1,4] => [7,6,4,1,5,3,2] => {{1,2,3,4,6,7},{5}} => {{1},{2},{3,4},{5},{6},{7}} => 1
[7,6,3,5,2,4,1] => [1,6,4,7,5,3,2] => {{1},{2,3,4,6,7},{5}} => {{1,7},{2},{3,4},{5},{6}} => 2
[7,6,3,5,4,1,2] => [7,1,4,6,5,3,2] => {{1,2,7},{3,4,6},{5}} => {{1},{2,6},{3,4},{5},{7}} => 1
[7,6,3,5,4,2,1] => [1,7,4,6,5,3,2] => {{1},{2,7},{3,4,6},{5}} => {{1,7},{2,6},{3,4},{5}} => 2
[7,6,4,1,2,3,5] => [5,6,7,4,1,3,2] => {{1,5},{2,3,6,7},{4}} => {{1,4,5},{2},{3,7},{6}} => 1
[7,6,4,1,2,5,3] => [5,6,1,4,7,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,1,3,2,5] => [5,7,6,4,1,3,2] => {{1,5},{2,7},{3,6},{4}} => {{1,6},{2,4,5},{3,7}} => 1
[7,6,4,1,3,5,2] => [5,1,6,4,7,3,2] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[7,6,4,1,5,2,3] => [5,7,1,4,6,3,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,6,4,1,5,3,2] => [5,1,7,4,6,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,2,1,3,5] => [6,5,7,4,1,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,2,1,5,3] => [6,5,1,4,7,3,2] => {{1,3,6},{2,5,7},{4}} => {{1,3,6},{2,4,5,7}} => 1
[7,6,4,2,3,1,5] => [7,5,6,4,1,3,2] => {{1,2,5,7},{3,6},{4}} => {{1},{2,4,5},{3,6},{7}} => 1
[7,6,4,2,3,5,1] => [1,5,6,4,7,3,2] => {{1},{2,5,7},{3,6},{4}} => {{1,7},{2,4,5},{3,6}} => 2
[7,6,4,2,5,1,3] => [7,5,1,4,6,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,2,5,3,1] => [1,5,7,4,6,3,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,6,4,3,1,2,5] => [6,7,5,4,1,3,2] => {{1,3,5,6},{2,7},{4}} => {{1,6},{2,7},{3},{4,5}} => 1
[7,6,4,3,1,5,2] => [6,1,5,4,7,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,3,2,1,5] => [7,6,5,4,1,3,2] => {{1,2,3,5,6,7},{4}} => {{1},{2},{3},{4,5},{6},{7}} => 1
[7,6,4,3,2,5,1] => [1,6,5,4,7,3,2] => {{1},{2,3,5,6,7},{4}} => {{1,7},{2},{3},{4,5},{6}} => 2
[7,6,4,3,5,1,2] => [7,1,5,4,6,3,2] => {{1,2,7},{3,5,6},{4}} => {{1},{2,6},{3},{4,5},{7}} => 1
[7,6,4,3,5,2,1] => [1,7,5,4,6,3,2] => {{1},{2,7},{3,5,6},{4}} => {{1,7},{2,6},{3},{4,5}} => 2
[7,6,4,5,1,2,3] => [6,7,1,4,5,3,2] => {{1,3,6},{2,7},{4},{5}} => {{1,6},{2,7},{3,4,5}} => 2
[7,6,4,5,1,3,2] => [6,1,7,4,5,3,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,6,4,5,2,1,3] => [7,6,1,4,5,3,2] => {{1,2,3,6,7},{4},{5}} => {{1},{2},{3,4,5},{6},{7}} => 2
[7,6,4,5,2,3,1] => [1,6,7,4,5,3,2] => {{1},{2,3,6,7},{4},{5}} => {{1,7},{2},{3,4,5},{6}} => 3
[7,6,4,5,3,1,2] => [7,1,6,4,5,3,2] => {{1,2,7},{3,6},{4},{5}} => {{1},{2,6},{3,4,5},{7}} => 2
[7,6,4,5,3,2,1] => [1,7,6,4,5,3,2] => {{1},{2,7},{3,6},{4},{5}} => {{1,7},{2,6},{3,4,5}} => 3
[7,6,5,1,2,3,4] => [5,6,7,1,4,3,2] => {{1,4,5},{2,3,6,7}} => {{1,5},{2},{3,7},{4},{6}} => 0
[7,6,5,1,2,4,3] => [5,6,1,7,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,1,3,2,4] => [5,7,6,1,4,3,2] => {{1,4,5},{2,7},{3,6}} => {{1,6},{2,5},{3,7},{4}} => 0
[7,6,5,1,3,4,2] => [5,1,6,7,4,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,5,1,4,2,3] => [5,7,1,6,4,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,5,1,4,3,2] => [5,1,7,6,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,2,1,3,4] => [6,5,7,1,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,2,1,4,3] => [6,5,1,7,4,3,2] => {{1,3,6},{2,4,5,7}} => {{1,3,6},{2,5,7},{4}} => 0
[7,6,5,2,3,1,4] => [7,5,6,1,4,3,2] => {{1,2,4,5,7},{3,6}} => {{1},{2,5},{3,6},{4},{7}} => 0
[7,6,5,2,3,4,1] => [1,5,6,7,4,3,2] => {{1},{2,4,5,7},{3,6}} => {{1,7},{2,5},{3,6},{4}} => 1
[7,6,5,2,4,1,3] => [7,5,1,6,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,2,4,3,1] => [1,5,7,6,4,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,5,3,1,2,4] => [6,7,5,1,4,3,2] => {{1,3,4,5,6},{2,7}} => {{1,6},{2,7},{3},{4},{5}} => 0
[7,6,5,3,1,4,2] => [6,1,5,7,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,3,2,1,4] => [7,6,5,1,4,3,2] => {{1,2,3,4,5,6,7}} => {{1},{2},{3},{4},{5},{6},{7}} => 0
[7,6,5,3,2,4,1] => [1,6,5,7,4,3,2] => {{1},{2,3,4,5,6,7}} => {{1,7},{2},{3},{4},{5},{6}} => 1
[7,6,5,3,4,1,2] => [7,1,5,6,4,3,2] => {{1,2,7},{3,4,5,6}} => {{1},{2,6},{3},{4},{5},{7}} => 0
[7,6,5,3,4,2,1] => [1,7,5,6,4,3,2] => {{1},{2,7},{3,4,5,6}} => {{1,7},{2,6},{3},{4},{5}} => 1
[7,6,5,4,1,2,3] => [6,7,1,5,4,3,2] => {{1,3,6},{2,7},{4,5}} => {{1,6},{2,7},{3,5},{4}} => 0
[7,6,5,4,1,3,2] => [6,1,7,5,4,3,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,6,5,4,2,1,3] => [7,6,1,5,4,3,2] => {{1,2,3,6,7},{4,5}} => {{1},{2},{3,5},{4},{6},{7}} => 0
[7,6,5,4,2,3,1] => [1,6,7,5,4,3,2] => {{1},{2,3,6,7},{4,5}} => {{1,7},{2},{3,5},{4},{6}} => 1
[7,6,5,4,3,1,2] => [7,1,6,5,4,3,2] => {{1,2,7},{3,6},{4,5}} => {{1},{2,6},{3,5},{4},{7}} => 0
[7,6,5,4,3,2,1] => [1,7,6,5,4,3,2] => {{1},{2,7},{3,6},{4,5}} => {{1,7},{2,6},{3,5},{4}} => 1
[8,3,4,5,6,7,2,1] => [1,8,3,4,5,6,7,2] => {{1},{2,8},{3},{4},{5},{6},{7}} => {{1,8},{2,3,4,5,6,7}} => 6
[7,8,4,5,6,2,3,1] => [1,7,8,4,5,6,2,3] => {{1},{2,7},{3,8},{4},{5},{6}} => {{1,3,4,5,6,8},{2,7}} => 4
[6,7,4,5,2,3,8,1] => [1,6,7,4,5,2,3,8] => {{1},{2,6},{3,7},{4},{5},{8}} => {{1,2,4,5,6,8},{3,7}} => 4
[4,3,2,5,6,7,8,1] => [1,4,3,2,5,6,7,8] => {{1},{2,4},{3},{5},{6},{7},{8}} => {{1,2,3,4,5,8},{6,7}} => 6
[3,2,4,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,8},{7}} => 6
[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,7,8}} => 8
[8,3,4,5,6,7,1,2] => [8,1,3,4,5,6,7,2] => {{1,2,8},{3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,7},{8}} => 5
[8,3,4,5,6,1,2,7] => [7,8,3,4,5,6,1,2] => {{1,7},{2,8},{3},{4},{5},{6}} => {{1,3,4,5,6,7},{2,8}} => 4
[3,2,4,5,6,7,1,8] => [8,3,2,4,5,6,7,1] => {{1,8},{2,3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,8},{7}} => 4
[2,3,4,5,6,7,1,8] => [8,2,3,4,5,6,7,1] => {{1,8},{2},{3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,7,8}} => 6
[2,3,4,5,6,1,7,8] => [7,2,3,4,5,6,8,1] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 5
[2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,7,6] => {{1},{2},{3},{4},{5},{6,8},{7}} => {{1,4,5,6,7,8},{2,3}} => 6
[2,3,4,5,7,8,6,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 5
[2,3,4,6,5,8,7,1] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1,3,5,6,7,8},{2},{4}} => 4
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1,3,4,5,6,7,8},{2}} => 6
[2,3,4,7,6,5,8,1] => [1,2,3,4,7,6,5,8] => {{1},{2},{3},{4},{5,7},{6},{8}} => {{1,2,5,6,7,8},{3,4}} => 6
[2,3,4,5,7,6,8,1] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1,2,4,5,6,7,8},{3}} => 6
[2,3,4,6,5,7,8,1] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1,2,3,5,6,7,8},{4}} => 6
[2,3,5,4,6,7,8,1] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1,2,3,4,6,7,8},{5}} => 6
[1,3,4,5,6,7,8,2] => [2,1,3,4,5,6,7,8] => {{1,2},{3},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6,7},{8}} => 6
[2,1,4,5,6,7,8,3] => [3,2,1,4,5,6,7,8] => {{1,3},{2},{4},{5},{6},{7},{8}} => {{1,2,3,4,5,6},{7,8}} => 6
[2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,1,8] => {{1,7},{2},{3},{4},{5},{6},{8}} => {{1,2},{3,4,5,6,7,8}} => 6
[2,3,4,5,7,6,1,8] => [8,2,3,4,5,7,6,1] => {{1,8},{2},{3},{4},{5},{6,7}} => {{1},{2,4,5,6,7,8},{3}} => 4
[2,3,5,4,6,7,1,8] => [8,2,3,5,4,6,7,1] => {{1,8},{2},{3},{4,5},{6},{7}} => {{1},{2,3,4,6,7,8},{5}} => 4
[1,3,4,5,6,7,2,8] => [2,8,3,4,5,6,7,1] => {{1,2,8},{3},{4},{5},{6},{7}} => {{1},{2,3,4,5,6,7},{8}} => 5
[2,3,4,5,8,6,7,1] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1,4,5,6,7,8},{2},{3}} => 5
[2,3,4,5,6,8,1,7] => [8,2,3,4,5,6,1,7] => {{1,7,8},{2},{3},{4},{5},{6}} => {{1},{2},{3,4,5,6,7,8}} => 5
[4,1,2,5,6,7,8,3] => [3,4,1,2,5,6,7,8] => {{1,3},{2,4},{5},{6},{7},{8}} => {{1,2,3,4,5,7},{6,8}} => 4
[8,1,4,5,6,7,2,3] => [3,8,1,4,5,6,7,2] => {{1,3},{2,8},{4},{5},{6},{7}} => {{1,7},{2,3,4,5,6,8}} => 4
[2,3,8,1,6,7,4,5] => [5,2,3,8,1,6,7,4] => {{1,5},{2},{3},{4,8},{6},{7}} => {{1,5},{2,3,4,6,7,8}} => 4
[6,3,4,1,2,7,8,5] => [5,6,3,4,1,2,7,8] => {{1,5},{2,6},{3},{4},{7},{8}} => {{1,2,3,5,6,7},{4,8}} => 4
[2,5,6,3,4,7,8,1] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1,2,3,5,7,8},{4,6}} => 4
[2,3,4,7,8,5,6,1] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1,3,5,6,7,8},{2,4}} => 4
[2,3,7,8,6,4,5,1] => [1,2,3,7,8,6,4,5] => {{1},{2},{3},{4,7},{5,8},{6}} => {{1,3,4,6,7,8},{2,5}} => 4
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,0,1 2,3,0,1 9,8,6,0,1 44,45,20,10,0,1 265,264,135,40,15,0,1 1854,1855,924,315,70,21,0,1
$F_{2} = 1 + q^{2}$
$F_{3} = 2 + 3\ q + q^{3}$
$F_{4} = 9 + 8\ q + 6\ q^{2} + q^{4}$
$F_{5} = 44 + 45\ q + 20\ q^{2} + 10\ q^{3} + q^{5}$
$F_{6} = 265 + 264\ q + 135\ q^{2} + 40\ q^{3} + 15\ q^{4} + q^{6}$
$F_{7} = 1854 + 1855\ q + 924\ q^{2} + 315\ q^{3} + 70\ q^{4} + 21\ q^{5} + q^{7}$
Description
The number of anti-singletons of a set partition.
An anti-singleton of a set partition $S$ is an index $i$ such that $i$ and $i+1$ (considered cyclically) are both in the same block of $S$.
For noncrossing set partitions, this is also the number of singletons of the image of $S$ under the Kreweras complement.
An anti-singleton of a set partition $S$ is an index $i$ such that $i$ and $i+1$ (considered cyclically) are both in the same block of $S$.
For noncrossing set partitions, this is also the number of singletons of the image of $S$ under the Kreweras complement.
Map
conjugate
Description
The conjugate of a set partition.
This is an involution exchanging singletons and circular adjacencies due to [1].
This is an involution exchanging singletons and circular adjacencies due to [1].
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
Map
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].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
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