Processing math: 100%

Identifier
Values
[1,2] => [1,2] => [2,1] => {{1,2}} => 0
[2,1] => [1,2] => [2,1] => {{1,2}} => 0
[1,2,3] => [1,2,3] => [2,3,1] => {{1,2,3}} => 0
[1,3,2] => [1,2,3] => [2,3,1] => {{1,2,3}} => 0
[2,1,3] => [1,2,3] => [2,3,1] => {{1,2,3}} => 0
[2,3,1] => [1,2,3] => [2,3,1] => {{1,2,3}} => 0
[3,1,2] => [1,3,2] => [3,2,1] => {{1,3},{2}} => 1
[3,2,1] => [1,3,2] => [3,2,1] => {{1,3},{2}} => 1
[1,2,3,4] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[1,2,4,3] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[1,3,2,4] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[1,3,4,2] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[1,4,2,3] => [1,2,4,3] => [2,4,3,1] => {{1,2,4},{3}} => 1
[1,4,3,2] => [1,2,4,3] => [2,4,3,1] => {{1,2,4},{3}} => 1
[2,1,3,4] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[2,1,4,3] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[2,3,1,4] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[2,3,4,1] => [1,2,3,4] => [2,3,4,1] => {{1,2,3,4}} => 0
[2,4,1,3] => [1,2,4,3] => [2,4,3,1] => {{1,2,4},{3}} => 1
[2,4,3,1] => [1,2,4,3] => [2,4,3,1] => {{1,2,4},{3}} => 1
[3,1,2,4] => [1,3,2,4] => [3,2,4,1] => {{1,3,4},{2}} => 1
[3,1,4,2] => [1,3,4,2] => [4,2,3,1] => {{1,4},{2},{3}} => 2
[3,2,1,4] => [1,3,2,4] => [3,2,4,1] => {{1,3,4},{2}} => 1
[3,2,4,1] => [1,3,4,2] => [4,2,3,1] => {{1,4},{2},{3}} => 2
[3,4,1,2] => [1,3,2,4] => [3,2,4,1] => {{1,3,4},{2}} => 1
[3,4,2,1] => [1,3,2,4] => [3,2,4,1] => {{1,3,4},{2}} => 1
[4,1,2,3] => [1,4,3,2] => [4,3,2,1] => {{1,4},{2,3}} => 0
[4,1,3,2] => [1,4,2,3] => [3,4,2,1] => {{1,2,3,4}} => 0
[4,2,1,3] => [1,4,3,2] => [4,3,2,1] => {{1,4},{2,3}} => 0
[4,2,3,1] => [1,4,2,3] => [3,4,2,1] => {{1,2,3,4}} => 0
[4,3,1,2] => [1,4,2,3] => [3,4,2,1] => {{1,2,3,4}} => 0
[4,3,2,1] => [1,4,2,3] => [3,4,2,1] => {{1,2,3,4}} => 0
[1,2,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,2,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,2,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,2,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,2,5,3,4] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[1,2,5,4,3] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[1,3,2,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,3,2,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,3,4,2,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,3,4,5,2] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[1,3,5,2,4] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[1,3,5,4,2] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[1,4,2,3,5] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[1,4,2,5,3] => [1,2,4,5,3] => [2,5,3,4,1] => {{1,2,5},{3},{4}} => 2
[1,4,3,2,5] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[1,4,3,5,2] => [1,2,4,5,3] => [2,5,3,4,1] => {{1,2,5},{3},{4}} => 2
[1,4,5,2,3] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[1,4,5,3,2] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[1,5,2,3,4] => [1,2,5,4,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0
[1,5,2,4,3] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[1,5,3,2,4] => [1,2,5,4,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0
[1,5,3,4,2] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[1,5,4,2,3] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[1,5,4,3,2] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[2,1,3,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,1,3,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,1,4,3,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,1,4,5,3] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,1,5,3,4] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[2,1,5,4,3] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[2,3,1,4,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,3,1,5,4] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,3,4,1,5] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,3,4,5,1] => [1,2,3,4,5] => [2,3,4,5,1] => {{1,2,3,4,5}} => 0
[2,3,5,1,4] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[2,3,5,4,1] => [1,2,3,5,4] => [2,3,5,4,1] => {{1,2,3,5},{4}} => 1
[2,4,1,3,5] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[2,4,1,5,3] => [1,2,4,5,3] => [2,5,3,4,1] => {{1,2,5},{3},{4}} => 2
[2,4,3,1,5] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[2,4,3,5,1] => [1,2,4,5,3] => [2,5,3,4,1] => {{1,2,5},{3},{4}} => 2
[2,4,5,1,3] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[2,4,5,3,1] => [1,2,4,3,5] => [2,4,3,5,1] => {{1,2,4,5},{3}} => 1
[2,5,1,3,4] => [1,2,5,4,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0
[2,5,1,4,3] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[2,5,3,1,4] => [1,2,5,4,3] => [2,5,4,3,1] => {{1,2,5},{3,4}} => 0
[2,5,3,4,1] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[2,5,4,1,3] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[2,5,4,3,1] => [1,2,5,3,4] => [2,4,5,3,1] => {{1,2,3,4,5}} => 0
[3,1,2,4,5] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,1,2,5,4] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,1,4,2,5] => [1,3,4,2,5] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => 2
[3,1,4,5,2] => [1,3,4,5,2] => [5,2,3,4,1] => {{1,5},{2},{3},{4}} => 3
[3,1,5,2,4] => [1,3,5,4,2] => [5,2,4,3,1] => {{1,5},{2},{3,4}} => 1
[3,1,5,4,2] => [1,3,5,2,4] => [4,2,5,3,1] => {{1,3,4,5},{2}} => 1
[3,2,1,4,5] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,2,1,5,4] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,2,4,1,5] => [1,3,4,2,5] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => 2
[3,2,4,5,1] => [1,3,4,5,2] => [5,2,3,4,1] => {{1,5},{2},{3},{4}} => 3
[3,2,5,1,4] => [1,3,5,4,2] => [5,2,4,3,1] => {{1,5},{2},{3,4}} => 1
[3,2,5,4,1] => [1,3,5,2,4] => [4,2,5,3,1] => {{1,3,4,5},{2}} => 1
[3,4,1,2,5] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,4,1,5,2] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,4,2,1,5] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,4,2,5,1] => [1,3,2,4,5] => [3,2,4,5,1] => {{1,3,4,5},{2}} => 1
[3,4,5,1,2] => [1,3,5,2,4] => [4,2,5,3,1] => {{1,3,4,5},{2}} => 1
[3,4,5,2,1] => [1,3,5,2,4] => [4,2,5,3,1] => {{1,3,4,5},{2}} => 1
[3,5,1,2,4] => [1,3,2,5,4] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => 2
[3,5,1,4,2] => [1,3,2,5,4] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => 2
[3,5,2,1,4] => [1,3,2,5,4] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => 2
>>> Load all 14571 entries. <<<
[3,5,2,4,1] => [1,3,2,5,4] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => 2
[3,5,4,1,2] => [1,3,4,2,5] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => 2
[3,5,4,2,1] => [1,3,4,2,5] => [4,2,3,5,1] => {{1,4,5},{2},{3}} => 2
[4,1,2,3,5] => [1,4,3,2,5] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0
[4,1,2,5,3] => [1,4,5,3,2] => [5,4,2,3,1] => {{1,5},{2,3,4}} => 0
[4,1,3,2,5] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,1,3,5,2] => [1,4,5,2,3] => [4,5,2,3,1] => {{1,2,3,4,5}} => 0
[4,1,5,2,3] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,1,5,3,2] => [1,4,3,5,2] => [5,3,2,4,1] => {{1,5},{2,3},{4}} => 1
[4,2,1,3,5] => [1,4,3,2,5] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0
[4,2,1,5,3] => [1,4,5,3,2] => [5,4,2,3,1] => {{1,5},{2,3,4}} => 0
[4,2,3,1,5] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,2,3,5,1] => [1,4,5,2,3] => [4,5,2,3,1] => {{1,2,3,4,5}} => 0
[4,2,5,1,3] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,2,5,3,1] => [1,4,3,5,2] => [5,3,2,4,1] => {{1,5},{2,3},{4}} => 1
[4,3,1,2,5] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,3,1,5,2] => [1,4,5,2,3] => [4,5,2,3,1] => {{1,2,3,4,5}} => 0
[4,3,2,1,5] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,3,2,5,1] => [1,4,5,2,3] => [4,5,2,3,1] => {{1,2,3,4,5}} => 0
[4,3,5,1,2] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,3,5,2,1] => [1,4,2,3,5] => [3,4,2,5,1] => {{1,2,3,4,5}} => 0
[4,5,1,2,3] => [1,4,2,5,3] => [3,5,2,4,1] => {{1,2,3,5},{4}} => 1
[4,5,1,3,2] => [1,4,3,2,5] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0
[4,5,2,1,3] => [1,4,2,5,3] => [3,5,2,4,1] => {{1,2,3,5},{4}} => 1
[4,5,2,3,1] => [1,4,3,2,5] => [4,3,2,5,1] => {{1,4,5},{2,3}} => 0
[4,5,3,1,2] => [1,4,2,5,3] => [3,5,2,4,1] => {{1,2,3,5},{4}} => 1
[4,5,3,2,1] => [1,4,2,5,3] => [3,5,2,4,1] => {{1,2,3,5},{4}} => 1
[5,1,2,3,4] => [1,5,4,3,2] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => 1
[5,1,2,4,3] => [1,5,3,2,4] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0
[5,1,3,2,4] => [1,5,4,2,3] => [4,5,3,2,1] => {{1,2,4,5},{3}} => 1
[5,1,3,4,2] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,1,4,2,3] => [1,5,3,4,2] => [5,3,4,2,1] => {{1,5},{2,3,4}} => 0
[5,1,4,3,2] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,2,1,3,4] => [1,5,4,3,2] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => 1
[5,2,1,4,3] => [1,5,3,2,4] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0
[5,2,3,1,4] => [1,5,4,2,3] => [4,5,3,2,1] => {{1,2,4,5},{3}} => 1
[5,2,3,4,1] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,2,4,1,3] => [1,5,3,4,2] => [5,3,4,2,1] => {{1,5},{2,3,4}} => 0
[5,2,4,3,1] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,3,1,2,4] => [1,5,4,2,3] => [4,5,3,2,1] => {{1,2,4,5},{3}} => 1
[5,3,1,4,2] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,3,2,1,4] => [1,5,4,2,3] => [4,5,3,2,1] => {{1,2,4,5},{3}} => 1
[5,3,2,4,1] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,3,4,1,2] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,3,4,2,1] => [1,5,2,3,4] => [3,4,5,2,1] => {{1,3,5},{2,4}} => 0
[5,4,1,2,3] => [1,5,3,2,4] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0
[5,4,1,3,2] => [1,5,2,4,3] => [3,5,4,2,1] => {{1,2,3,4,5}} => 0
[5,4,2,1,3] => [1,5,3,2,4] => [4,3,5,2,1] => {{1,2,3,4,5}} => 0
[5,4,2,3,1] => [1,5,2,4,3] => [3,5,4,2,1] => {{1,2,3,4,5}} => 0
[5,4,3,1,2] => [1,5,2,4,3] => [3,5,4,2,1] => {{1,2,3,4,5}} => 0
[5,4,3,2,1] => [1,5,2,4,3] => [3,5,4,2,1] => {{1,2,3,4,5}} => 0
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,2,6,3,4,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,2,6,4,3,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[1,3,6,2,4,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,3,6,4,2,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => 3
[1,4,2,6,3,5] => [1,2,4,6,5,3] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => 1
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => 3
[1,4,3,6,2,5] => [1,2,4,6,5,3] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => 1
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[1,4,6,2,3,5] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[1,4,6,2,5,3] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[1,4,6,3,2,5] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[1,4,6,3,5,2] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[1,5,2,3,4,6] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[1,5,2,3,6,4] => [1,2,5,6,4,3] => [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => 0
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,2,6,4,3] => [1,2,5,4,6,3] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => 1
[1,5,3,2,4,6] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[1,5,3,2,6,4] => [1,2,5,6,4,3] => [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => 0
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,3,6,4,2] => [1,2,5,4,6,3] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => 1
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[1,5,6,2,3,4] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[1,5,6,2,4,3] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[1,5,6,3,2,4] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[1,5,6,3,4,2] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[1,5,6,4,2,3] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[1,5,6,4,3,2] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[1,6,2,3,4,5] => [1,2,6,5,4,3] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => 1
[1,6,2,3,5,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,2,4,3,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,2,5,3,4] => [1,2,6,4,5,3] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => 0
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,3,2,4,5] => [1,2,6,5,4,3] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => 1
[1,6,3,2,5,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,3,4,2,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,3,5,2,4] => [1,2,6,4,5,3] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => 0
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,4,2,3,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,4,3,2,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[1,6,5,2,3,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,5,2,4,3] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,5,3,2,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,5,3,4,2] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,5,4,2,3] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[1,6,5,4,3,2] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,1,6,3,4,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,1,6,4,3,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [2,3,4,5,6,1] => {{1,2,3,4,5,6}} => 0
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => 1
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [2,3,6,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => 1
[2,3,6,1,4,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,3,6,4,1,5] => [1,2,3,6,5,4] => [2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => 0
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [2,3,5,6,4,1] => {{1,2,3,4,5,6}} => 0
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => 3
[2,4,1,6,3,5] => [1,2,4,6,5,3] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => 1
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [2,6,3,4,5,1] => {{1,2,6},{3},{4},{5}} => 3
[2,4,3,6,1,5] => [1,2,4,6,5,3] => [2,6,3,5,4,1] => {{1,2,6},{3},{4,5}} => 1
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => 1
[2,4,6,1,3,5] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[2,4,6,1,5,3] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[2,4,6,3,1,5] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[2,4,6,3,5,1] => [1,2,4,3,6,5] => [2,4,3,6,5,1] => {{1,2,4,6},{3},{5}} => 2
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [2,5,3,4,6,1] => {{1,2,5,6},{3},{4}} => 2
[2,5,1,3,4,6] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[2,5,1,3,6,4] => [1,2,5,6,4,3] => [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => 0
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,1,6,4,3] => [1,2,5,4,6,3] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => 1
[2,5,3,1,4,6] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[2,5,3,1,6,4] => [1,2,5,6,4,3] => [2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => 0
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,3,6,4,1] => [1,2,5,4,6,3] => [2,6,4,3,5,1] => {{1,2,6},{3,4},{5}} => 1
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [2,5,6,3,4,1] => {{1,2,3,4,5,6}} => 0
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [2,4,5,3,6,1] => {{1,2,3,4,5,6}} => 0
[2,5,6,1,3,4] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[2,5,6,1,4,3] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[2,5,6,3,1,4] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[2,5,6,3,4,1] => [1,2,5,4,3,6] => [2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => 0
[2,5,6,4,1,3] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[2,5,6,4,3,1] => [1,2,5,3,6,4] => [2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => 1
[2,6,1,3,4,5] => [1,2,6,5,4,3] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => 1
[2,6,1,3,5,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,1,4,3,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,1,5,3,4] => [1,2,6,4,5,3] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => 0
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,3,1,4,5] => [1,2,6,5,4,3] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => 1
[2,6,3,1,5,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,3,4,1,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,3,5,1,4] => [1,2,6,4,5,3] => [2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => 0
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,4,1,3,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,4,3,1,5] => [1,2,6,5,3,4] => [2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => 1
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => 0
[2,6,5,1,3,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,5,1,4,3] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,5,3,1,4] => [1,2,6,4,3,5] => [2,5,4,6,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,5,3,4,1] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,5,4,1,3] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[2,6,5,4,3,1] => [1,2,6,3,5,4] => [2,4,6,5,3,1] => {{1,2,3,4,5,6}} => 0
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,2,6,4,5] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,1,2,6,5,4] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => 3
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => 4
[3,1,4,6,2,5] => [1,3,4,6,5,2] => [6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}} => 2
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} => 2
[3,1,5,2,4,6] => [1,3,5,4,2,6] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => 1
[3,1,5,2,6,4] => [1,3,5,6,4,2] => [6,2,5,3,4,1] => {{1,6},{2},{3,4,5}} => 1
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => 1
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,1,5,6,4,2] => [1,3,5,4,6,2] => [6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}} => 2
[3,1,6,2,4,5] => [1,3,6,5,4,2] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => 2
[3,1,6,2,5,4] => [1,3,6,4,2,5] => [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => 1
[3,1,6,4,2,5] => [1,3,6,5,2,4] => [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} => 2
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,1,6,5,2,4] => [1,3,6,4,5,2] => [6,2,4,5,3,1] => {{1,6},{2},{3,4,5}} => 1
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,1,6,4,5] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,2,1,6,5,4] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => 3
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [6,2,3,4,5,1] => {{1,6},{2},{3},{4},{5}} => 4
[3,2,4,6,1,5] => [1,3,4,6,5,2] => [6,2,3,5,4,1] => {{1,6},{2},{3},{4,5}} => 2
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} => 2
[3,2,5,1,4,6] => [1,3,5,4,2,6] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => 1
[3,2,5,1,6,4] => [1,3,5,6,4,2] => [6,2,5,3,4,1] => {{1,6},{2},{3,4,5}} => 1
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => 1
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,2,5,6,4,1] => [1,3,5,4,6,2] => [6,2,4,3,5,1] => {{1,6},{2},{3,4},{5}} => 2
[3,2,6,1,4,5] => [1,3,6,5,4,2] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => 2
[3,2,6,1,5,4] => [1,3,6,4,2,5] => [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => 1
[3,2,6,4,1,5] => [1,3,6,5,2,4] => [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} => 2
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,2,6,5,1,4] => [1,3,6,4,5,2] => [6,2,4,5,3,1] => {{1,6},{2},{3,4,5}} => 1
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,1,6,2,5] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,4,1,6,5,2] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,2,6,1,5] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,4,2,6,5,1] => [1,3,2,4,6,5] => [3,2,4,6,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => 1
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => 1
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => 1
[3,4,6,1,2,5] => [1,3,6,5,2,4] => [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} => 2
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,4,6,2,1,5] => [1,3,6,5,2,4] => [5,2,6,4,3,1] => {{1,3,5,6},{2},{4}} => 2
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [4,2,5,6,3,1] => {{1,4,6},{2},{3,5}} => 1
[3,5,1,2,4,6] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,1,2,6,4] => [1,3,2,5,6,4] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => 3
[3,5,1,4,2,6] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,1,4,6,2] => [1,3,2,5,6,4] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => 3
[3,5,1,6,2,4] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,1,6,4,2] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,2,1,4,6] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,2,1,6,4] => [1,3,2,5,6,4] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => 3
[3,5,2,4,1,6] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,2,4,6,1] => [1,3,2,5,6,4] => [3,2,6,4,5,1] => {{1,3,6},{2},{4},{5}} => 3
[3,5,2,6,1,4] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,2,6,4,1] => [1,3,2,5,4,6] => [3,2,5,4,6,1] => {{1,3,5,6},{2},{4}} => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [4,2,3,5,6,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [5,2,3,6,4,1] => {{1,4,5,6},{2},{3}} => 2
[3,5,6,1,2,4] => [1,3,6,4,2,5] => [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => 1
[3,5,6,1,4,2] => [1,3,6,2,5,4] => [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => 1
[3,5,6,2,1,4] => [1,3,6,4,2,5] => [5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => 1
[3,5,6,2,4,1] => [1,3,6,2,5,4] => [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => 1
[3,5,6,4,1,2] => [1,3,6,2,5,4] => [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => 1
[3,5,6,4,2,1] => [1,3,6,2,5,4] => [4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => 1
[3,6,1,2,4,5] => [1,3,2,6,5,4] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => 1
[3,6,1,2,5,4] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,1,4,2,5] => [1,3,2,6,5,4] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => 1
[3,6,1,4,5,2] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,1,5,2,4] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,1,5,4,2] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,2,1,4,5] => [1,3,2,6,5,4] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => 1
[3,6,2,1,5,4] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,2,4,1,5] => [1,3,2,6,5,4] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => 1
[3,6,2,4,5,1] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,2,5,1,4] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,2,5,4,1] => [1,3,2,6,4,5] => [3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => 1
[3,6,4,1,2,5] => [1,3,4,2,6,5] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => 3
[3,6,4,1,5,2] => [1,3,4,2,6,5] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => 3
[3,6,4,2,1,5] => [1,3,4,2,6,5] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => 3
[3,6,4,2,5,1] => [1,3,4,2,6,5] => [4,2,3,6,5,1] => {{1,4,6},{2},{3},{5}} => 3
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => 3
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [5,2,3,4,6,1] => {{1,5,6},{2},{3},{4}} => 3
[3,6,5,1,2,4] => [1,3,5,2,6,4] => [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,6,5,1,4,2] => [1,3,5,4,2,6] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => 1
[3,6,5,2,1,4] => [1,3,5,2,6,4] => [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,6,5,2,4,1] => [1,3,5,4,2,6] => [5,2,4,3,6,1] => {{1,5,6},{2},{3,4}} => 1
[3,6,5,4,1,2] => [1,3,5,2,6,4] => [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} => 2
[3,6,5,4,2,1] => [1,3,5,2,6,4] => [4,2,6,3,5,1] => {{1,3,4,6},{2},{5}} => 2
[4,1,2,3,5,6] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,1,2,3,6,5] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,1,2,5,3,6] => [1,4,5,3,2,6] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => 0
[4,1,2,5,6,3] => [1,4,5,6,3,2] => [6,5,2,3,4,1] => {{1,6},{2,3,4,5}} => 0
[4,1,2,6,3,5] => [1,4,6,5,3,2] => [6,5,2,4,3,1] => {{1,6},{2,3,5},{4}} => 1
[4,1,2,6,5,3] => [1,4,6,3,2,5] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}} => 0
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}} => 0
[4,1,3,6,2,5] => [1,4,6,5,2,3] => [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => 1
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,5,3,2,6] => [1,4,3,5,2,6] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => 1
[4,1,5,3,6,2] => [1,4,3,5,6,2] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} => 2
[4,1,5,6,2,3] => [1,4,6,3,5,2] => [6,4,2,5,3,1] => {{1,6},{2,3,4,5}} => 0
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,1,6,2,3,5] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,1,6,2,5,3] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,1,6,3,2,5] => [1,4,3,6,5,2] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => 0
[4,1,6,3,5,2] => [1,4,3,6,2,5] => [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => 0
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,1,6,5,3,2] => [1,4,5,3,6,2] => [6,4,2,3,5,1] => {{1,6},{2,3,4},{5}} => 1
[4,2,1,3,5,6] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,2,1,3,6,5] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,2,1,5,3,6] => [1,4,5,3,2,6] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => 0
[4,2,1,5,6,3] => [1,4,5,6,3,2] => [6,5,2,3,4,1] => {{1,6},{2,3,4,5}} => 0
[4,2,1,6,3,5] => [1,4,6,5,3,2] => [6,5,2,4,3,1] => {{1,6},{2,3,5},{4}} => 1
[4,2,1,6,5,3] => [1,4,6,3,2,5] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}} => 0
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}} => 0
[4,2,3,6,1,5] => [1,4,6,5,2,3] => [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => 1
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,5,3,1,6] => [1,4,3,5,2,6] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => 1
[4,2,5,3,6,1] => [1,4,3,5,6,2] => [6,3,2,4,5,1] => {{1,6},{2,3},{4},{5}} => 2
[4,2,5,6,1,3] => [1,4,6,3,5,2] => [6,4,2,5,3,1] => {{1,6},{2,3,4,5}} => 0
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,2,6,1,3,5] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,2,6,1,5,3] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,2,6,3,1,5] => [1,4,3,6,5,2] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => 0
[4,2,6,3,5,1] => [1,4,3,6,2,5] => [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => 0
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,2,6,5,3,1] => [1,4,5,3,6,2] => [6,4,2,3,5,1] => {{1,6},{2,3,4},{5}} => 1
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}} => 0
[4,3,1,6,2,5] => [1,4,6,5,2,3] => [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => 1
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [5,6,2,3,4,1] => {{1,2,3,4,5,6}} => 0
[4,3,2,6,1,5] => [1,4,6,5,2,3] => [5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => 1
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [3,4,2,5,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => 0
[4,3,6,1,2,5] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,3,6,1,5,2] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,3,6,2,1,5] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,3,6,2,5,1] => [1,4,2,3,6,5] => [3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => 1
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [4,5,2,3,6,1] => {{1,2,3,4,5,6}} => 0
[4,5,1,2,3,6] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,1,2,6,3] => [1,4,2,5,6,3] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[4,5,1,3,2,6] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,5,1,3,6,2] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,5,1,6,2,3] => [1,4,6,3,2,5] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,1,6,3,2] => [1,4,6,2,5,3] => [4,6,2,5,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,2,1,3,6] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,2,1,6,3] => [1,4,2,5,6,3] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[4,5,2,3,1,6] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,5,2,3,6,1] => [1,4,3,2,5,6] => [4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => 0
[4,5,2,6,1,3] => [1,4,6,3,2,5] => [5,4,2,6,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,2,6,3,1] => [1,4,6,2,5,3] => [4,6,2,5,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,3,1,2,6] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,3,1,6,2] => [1,4,2,5,6,3] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[4,5,3,2,1,6] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,3,2,6,1] => [1,4,2,5,6,3] => [3,6,2,4,5,1] => {{1,2,3,6},{4},{5}} => 2
[4,5,3,6,1,2] => [1,4,6,2,5,3] => [4,6,2,5,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,3,6,2,1] => [1,4,6,2,5,3] => [4,6,2,5,3,1] => {{1,2,3,4,5,6}} => 0
[4,5,6,1,2,3] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,6,1,3,2] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,6,2,1,3] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,6,2,3,1] => [1,4,2,5,3,6] => [3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => 1
[4,5,6,3,1,2] => [1,4,3,6,2,5] => [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => 0
[4,5,6,3,2,1] => [1,4,3,6,2,5] => [5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => 0
[4,6,1,2,3,5] => [1,4,2,6,5,3] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => 0
[4,6,1,2,5,3] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,1,3,2,5] => [1,4,3,2,6,5] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => 1
[4,6,1,3,5,2] => [1,4,3,2,6,5] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => 1
[4,6,1,5,2,3] => [1,4,5,2,6,3] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => 1
[4,6,1,5,3,2] => [1,4,5,3,2,6] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => 0
[4,6,2,1,3,5] => [1,4,2,6,5,3] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => 0
[4,6,2,1,5,3] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,2,3,1,5] => [1,4,3,2,6,5] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => 1
[4,6,2,3,5,1] => [1,4,3,2,6,5] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => 1
[4,6,2,5,1,3] => [1,4,5,2,6,3] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => 1
[4,6,2,5,3,1] => [1,4,5,3,2,6] => [5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => 0
[4,6,3,1,2,5] => [1,4,2,6,5,3] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => 0
[4,6,3,1,5,2] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,3,2,1,5] => [1,4,2,6,5,3] => [3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => 0
[4,6,3,2,5,1] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,3,5,1,2] => [1,4,5,2,6,3] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => 1
[4,6,3,5,2,1] => [1,4,5,2,6,3] => [4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => 1
[4,6,5,1,2,3] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,5,1,3,2] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,5,2,1,3] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,5,2,3,1] => [1,4,2,6,3,5] => [3,5,2,6,4,1] => {{1,2,3,4,5,6}} => 0
[4,6,5,3,1,2] => [1,4,3,5,2,6] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => 1
[4,6,5,3,2,1] => [1,4,3,5,2,6] => [5,3,2,4,6,1] => {{1,5,6},{2,3},{4}} => 1
[5,1,2,3,4,6] => [1,5,4,3,2,6] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => 1
[5,1,2,3,6,4] => [1,5,6,4,3,2] => [6,5,4,2,3,1] => {{1,6},{2,3,4,5}} => 0
[5,1,2,4,3,6] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,1,2,4,6,3] => [1,5,6,3,2,4] => [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => 0
[5,1,2,6,3,4] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,1,2,6,4,3] => [1,5,4,6,3,2] => [6,5,3,2,4,1] => {{1,6},{2,4,5},{3}} => 1
[5,1,3,2,4,6] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,1,3,2,6,4] => [1,5,6,4,2,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,1,3,6,4,2] => [1,5,4,6,2,3] => [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => 1
[5,1,4,2,3,6] => [1,5,3,4,2,6] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => 0
[5,1,4,2,6,3] => [1,5,6,3,4,2] => [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => 0
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,1,4,6,3,2] => [1,5,3,4,6,2] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} => 1
[5,1,6,2,3,4] => [1,5,3,6,4,2] => [6,3,5,2,4,1] => {{1,6},{2,3,4,5}} => 0
[5,1,6,2,4,3] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,1,6,3,2,4] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,1,6,3,4,2] => [1,5,4,3,6,2] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => 2
[5,1,6,4,2,3] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,1,6,4,3,2] => [1,5,3,6,2,4] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,2,1,3,4,6] => [1,5,4,3,2,6] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => 1
[5,2,1,3,6,4] => [1,5,6,4,3,2] => [6,5,4,2,3,1] => {{1,6},{2,3,4,5}} => 0
[5,2,1,4,3,6] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,2,1,4,6,3] => [1,5,6,3,2,4] => [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => 0
[5,2,1,6,3,4] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,2,1,6,4,3] => [1,5,4,6,3,2] => [6,5,3,2,4,1] => {{1,6},{2,4,5},{3}} => 1
[5,2,3,1,4,6] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,2,3,1,6,4] => [1,5,6,4,2,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,2,3,6,4,1] => [1,5,4,6,2,3] => [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => 1
[5,2,4,1,3,6] => [1,5,3,4,2,6] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => 0
[5,2,4,1,6,3] => [1,5,6,3,4,2] => [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => 0
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,2,4,6,3,1] => [1,5,3,4,6,2] => [6,3,4,2,5,1] => {{1,6},{2,3,4},{5}} => 1
[5,2,6,1,3,4] => [1,5,3,6,4,2] => [6,3,5,2,4,1] => {{1,6},{2,3,4,5}} => 0
[5,2,6,1,4,3] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,2,6,3,1,4] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,2,6,3,4,1] => [1,5,4,3,6,2] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => 2
[5,2,6,4,1,3] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,2,6,4,3,1] => [1,5,3,6,2,4] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,3,1,2,4,6] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,3,1,2,6,4] => [1,5,6,4,2,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,1,6,4,2] => [1,5,4,6,2,3] => [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => 1
[5,3,2,1,4,6] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,3,2,1,6,4] => [1,5,6,4,2,3] => [5,6,4,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,2,6,4,1] => [1,5,4,6,2,3] => [5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => 1
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [4,5,6,2,3,1] => {{1,2,3,4,5,6}} => 0
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => 0
[5,3,6,1,2,4] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,3,6,1,4,2] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,3,6,2,1,4] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,3,6,2,4,1] => [1,5,4,2,3,6] => [4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => 1
[5,3,6,4,1,2] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,3,6,4,2,1] => [1,5,2,3,6,4] => [3,4,6,2,5,1] => {{1,3,6},{2,4},{5}} => 1
[5,4,1,2,3,6] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,1,2,6,3] => [1,5,6,3,2,4] => [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => 0
[5,4,1,3,2,6] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,1,3,6,2] => [1,5,6,2,4,3] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => 0
[5,4,1,6,2,3] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,4,1,6,3,2] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,2,1,3,6] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,2,1,6,3] => [1,5,6,3,2,4] => [5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => 0
[5,4,2,3,1,6] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,2,3,6,1] => [1,5,6,2,4,3] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => 0
[5,4,2,6,1,3] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,4,2,6,3,1] => [1,5,3,2,4,6] => [4,3,5,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,3,1,2,6] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,3,1,6,2] => [1,5,6,2,4,3] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => 0
[5,4,3,2,1,6] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,3,2,6,1] => [1,5,6,2,4,3] => [4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => 0
[5,4,3,6,1,2] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,4,3,6,2,1] => [1,5,2,4,6,3] => [3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,4,6,1,2,3] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,6,1,3,2] => [1,5,3,6,2,4] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,4,6,2,1,3] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,6,2,3,1] => [1,5,3,6,2,4] => [5,3,6,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,4,6,3,1,2] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,4,6,3,2,1] => [1,5,2,4,3,6] => [3,5,4,2,6,1] => {{1,2,3,4,5,6}} => 0
[5,6,1,2,3,4] => [1,5,3,2,6,4] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,6,1,2,4,3] => [1,5,4,2,6,3] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} => 2
[5,6,1,3,2,4] => [1,5,2,6,4,3] => [3,6,5,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,6,1,3,4,2] => [1,5,4,3,2,6] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => 1
[5,6,1,4,2,3] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,1,4,3,2] => [1,5,3,2,6,4] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,6,2,1,3,4] => [1,5,3,2,6,4] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,6,2,1,4,3] => [1,5,4,2,6,3] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} => 2
[5,6,2,3,1,4] => [1,5,2,6,4,3] => [3,6,5,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,6,2,3,4,1] => [1,5,4,3,2,6] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => 1
[5,6,2,4,1,3] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,2,4,3,1] => [1,5,3,2,6,4] => [4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => 1
[5,6,3,1,2,4] => [1,5,2,6,4,3] => [3,6,5,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,6,3,1,4,2] => [1,5,4,2,6,3] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} => 2
[5,6,3,2,1,4] => [1,5,2,6,4,3] => [3,6,5,2,4,1] => {{1,2,3,4,5,6}} => 0
[5,6,3,2,4,1] => [1,5,4,2,6,3] => [4,6,3,2,5,1] => {{1,2,4,6},{3},{5}} => 2
[5,6,3,4,1,2] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,3,4,2,1] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,4,1,2,3] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,4,1,3,2] => [1,5,3,4,2,6] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => 0
[5,6,4,2,1,3] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,4,2,3,1] => [1,5,3,4,2,6] => [5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => 0
[5,6,4,3,1,2] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[5,6,4,3,2,1] => [1,5,2,6,3,4] => [3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => 0
[6,1,2,3,4,5] => [1,6,5,4,3,2] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => 0
[6,1,2,3,5,4] => [1,6,4,3,2,5] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => 1
[6,1,2,4,3,5] => [1,6,5,3,2,4] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,1,2,5,3,4] => [1,6,4,5,3,2] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => 2
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,1,3,2,4,5] => [1,6,5,4,2,3] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => 0
[6,1,3,2,5,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,1,3,4,2,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,3,5,2,4] => [1,6,4,5,2,3] => [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} => 2
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,4,2,3,5] => [1,6,5,3,4,2] => [6,4,5,3,2,1] => {{1,6},{2,3,4,5}} => 0
[6,1,4,2,5,3] => [1,6,3,4,2,5] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,4,3,2,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,4,5,2,3] => [1,6,3,4,5,2] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => 0
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,1,5,2,3,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,1,5,2,4,3] => [1,6,3,5,4,2] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => 1
[6,1,5,3,2,4] => [1,6,4,3,5,2] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => 1
[6,1,5,3,4,2] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,1,5,4,2,3] => [1,6,3,5,2,4] => [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,1,5,4,3,2] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,2,1,3,4,5] => [1,6,5,4,3,2] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => 0
[6,2,1,3,5,4] => [1,6,4,3,2,5] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => 1
[6,2,1,4,3,5] => [1,6,5,3,2,4] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,2,1,5,3,4] => [1,6,4,5,3,2] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => 2
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,2,3,1,4,5] => [1,6,5,4,2,3] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => 0
[6,2,3,1,5,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,2,3,4,1,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,3,5,1,4] => [1,6,4,5,2,3] => [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} => 2
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,4,1,3,5] => [1,6,5,3,4,2] => [6,4,5,3,2,1] => {{1,6},{2,3,4,5}} => 0
[6,2,4,1,5,3] => [1,6,3,4,2,5] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,4,3,1,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,4,5,1,3] => [1,6,3,4,5,2] => [6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => 0
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,2,5,1,3,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,2,5,1,4,3] => [1,6,3,5,4,2] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => 1
[6,2,5,3,1,4] => [1,6,4,3,5,2] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => 1
[6,2,5,3,4,1] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,2,5,4,1,3] => [1,6,3,5,2,4] => [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,2,5,4,3,1] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,3,1,2,4,5] => [1,6,5,4,2,3] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => 0
[6,3,1,2,5,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,3,1,4,2,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,1,5,2,4] => [1,6,4,5,2,3] => [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} => 2
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,2,1,4,5] => [1,6,5,4,2,3] => [5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => 0
[6,3,2,1,5,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,3,2,4,1,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,2,5,1,4] => [1,6,4,5,2,3] => [5,6,3,4,2,1] => {{1,2,5,6},{3},{4}} => 2
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,4,1,2,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,4,2,1,5] => [1,6,5,2,3,4] => [4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => 0
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [3,4,5,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,3,5,1,2,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,3,5,1,4,2] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,3,5,2,1,4] => [1,6,4,2,3,5] => [4,5,3,6,2,1] => {{1,4,6},{2,5},{3}} => 1
[6,3,5,2,4,1] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,3,5,4,1,2] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,3,5,4,2,1] => [1,6,2,3,5,4] => [3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => 0
[6,4,1,2,3,5] => [1,6,5,3,2,4] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,4,1,3,2,5] => [1,6,5,2,4,3] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,1,3,5,2] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,4,1,5,3,2] => [1,6,2,4,5,3] => [3,6,4,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,2,1,3,5] => [1,6,5,3,2,4] => [5,4,6,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,4,2,3,1,5] => [1,6,5,2,4,3] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,2,3,5,1] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => 0
[6,4,2,5,3,1] => [1,6,2,4,5,3] => [3,6,4,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,3,1,2,5] => [1,6,5,2,4,3] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,3,1,5,2] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,3,2,1,5] => [1,6,5,2,4,3] => [4,6,5,3,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,3,2,5,1] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,3,5,1,2] => [1,6,2,4,5,3] => [3,6,4,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,3,5,2,1] => [1,6,2,4,5,3] => [3,6,4,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,4,5,1,2,3] => [1,6,3,5,2,4] => [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,4,5,1,3,2] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,5,2,1,3] => [1,6,3,5,2,4] => [5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,4,5,2,3,1] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,5,3,1,2] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,4,5,3,2,1] => [1,6,2,4,3,5] => [3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => 0
[6,5,1,2,3,4] => [1,6,4,2,5,3] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,1,2,4,3] => [1,6,3,2,5,4] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,1,3,2,4] => [1,6,4,3,2,5] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,1,3,4,2] => [1,6,2,5,4,3] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,5,1,4,2,3] => [1,6,3,2,5,4] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,1,4,3,2] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,2,1,3,4] => [1,6,4,2,5,3] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,2,1,4,3] => [1,6,3,2,5,4] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,2,3,1,4] => [1,6,4,3,2,5] => [5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,2,3,4,1] => [1,6,2,5,4,3] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,5,2,4,1,3] => [1,6,3,2,5,4] => [4,3,6,5,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,2,4,3,1] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,3,1,2,4] => [1,6,4,2,5,3] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,3,1,4,2] => [1,6,2,5,4,3] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,5,3,2,1,4] => [1,6,4,2,5,3] => [4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => 1
[6,5,3,2,4,1] => [1,6,2,5,4,3] => [3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => 1
[6,5,3,4,1,2] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,3,4,2,1] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,4,1,2,3] => [1,6,3,4,2,5] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,4,1,3,2] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,4,2,1,3] => [1,6,3,4,2,5] => [5,3,4,6,2,1] => {{1,2,3,4,5,6}} => 0
[6,5,4,2,3,1] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,4,3,1,2] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[6,5,4,3,2,1] => [1,6,2,5,3,4] => [3,5,6,4,2,1] => {{1,3,6},{2,5},{4}} => 1
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,3,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,3,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,2,3,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,2,3,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,3,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,2,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,2,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,3,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,3,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,3,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,3,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,4,5,3,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,5,3,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,5,6,3,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,5,6,7,3] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,4,6,3,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,2,4,6,5,3,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,2,4,6,7,3,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,4,6,7,5,3] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,2,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,2,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,5,3,4,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,3,4,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,3,6,4,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[1,2,5,3,7,4,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[1,2,5,3,7,6,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,4,3,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,4,3,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,4,6,3,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[1,2,5,4,7,3,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[1,2,5,4,7,6,3] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,3,4,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,3,7,4] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,4,3,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,4,7,3] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,7,3,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,6,7,4,3] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,2,5,7,3,4,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,2,5,7,3,6,4] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,2,5,7,4,3,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,2,5,7,4,6,3] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,2,5,7,6,3,4] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,2,5,7,6,4,3] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,2,6,3,4,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,2,6,3,4,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[1,2,6,3,5,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,3,5,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,3,7,4,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,3,7,5,4] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[1,2,6,4,3,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,2,6,4,3,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[1,2,6,4,5,3,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,4,5,7,3] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,4,7,3,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,4,7,5,3] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[1,2,6,5,3,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,5,3,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,5,4,3,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,5,4,7,3] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,5,7,3,4] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,5,7,4,3] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,6,7,3,4,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,6,7,3,5,4] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,2,6,7,4,3,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,6,7,4,5,3] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,2,6,7,5,3,4] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,6,7,5,4,3] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,2,7,3,4,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[1,2,7,3,4,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,3,5,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,7,3,5,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,3,6,4,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[1,2,7,3,6,5,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,4,3,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[1,2,7,4,3,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,4,5,3,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,7,4,5,6,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,4,6,3,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[1,2,7,4,6,5,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,5,3,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,7,5,3,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,5,4,3,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,2,7,5,4,6,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,5,6,3,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,5,6,4,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,2,7,6,3,4,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,6,3,5,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,6,4,3,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,6,4,5,3] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,6,5,3,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,2,7,6,5,4,3] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,2,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,2,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,3,2,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,3,2,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,2,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,2,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,3,2,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,3,2,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,2,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,2,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,2,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,2,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,2,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,4,5,2,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,5,2,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,5,6,2,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,5,6,7,2] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,4,6,2,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,3,4,6,5,2,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,3,4,6,7,2,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,4,6,7,5,2] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,4,7,2,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,3,4,7,2,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,7,5,2,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,3,4,7,5,6,2] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,7,6,2,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,4,7,6,5,2] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,5,2,4,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,2,4,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,2,6,4,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[1,3,5,2,7,4,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[1,3,5,2,7,6,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,4,2,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,4,2,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,4,6,2,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[1,3,5,4,7,2,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[1,3,5,4,7,6,2] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,2,4,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,2,7,4] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,4,2,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,4,7,2] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,7,2,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,6,7,4,2] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,3,5,7,2,4,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,3,5,7,2,6,4] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,3,5,7,4,2,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,3,5,7,4,6,2] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,3,5,7,6,2,4] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,3,5,7,6,4,2] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,3,6,2,4,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,3,6,2,4,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[1,3,6,2,5,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,2,5,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,2,7,4,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,2,7,5,4] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[1,3,6,4,2,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,3,6,4,2,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[1,3,6,4,5,2,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,4,5,7,2] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,4,7,2,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,4,7,5,2] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[1,3,6,5,2,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,5,2,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,5,4,2,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,5,4,7,2] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,5,7,2,4] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,5,7,4,2] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,6,7,2,4,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,6,7,2,5,4] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,3,6,7,4,2,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,6,7,4,5,2] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[1,3,6,7,5,2,4] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,6,7,5,4,2] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,3,7,2,4,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[1,3,7,2,4,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,2,5,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,7,2,5,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,2,6,4,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[1,3,7,2,6,5,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,4,2,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[1,3,7,4,2,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,4,5,2,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,7,4,5,6,2] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,4,6,2,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[1,3,7,4,6,5,2] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,5,2,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,7,5,2,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,5,4,2,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,3,7,5,4,6,2] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,5,6,2,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,5,6,4,2] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,3,7,6,2,4,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,6,2,5,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,6,4,2,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,6,4,5,2] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,6,5,2,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,3,7,6,5,4,2] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,4,2,3,5,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,3,5,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,3,6,5,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,3,6,7,5] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,3,7,5,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,2,3,7,6,5] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,2,5,3,6,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,2,5,3,7,6] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,2,5,6,3,7] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => 4
[1,4,2,5,7,3,6] => [1,2,4,5,7,6,3] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => 2
[1,4,2,5,7,6,3] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,2,6,3,5,7] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[1,4,2,6,3,7,5] => [1,2,4,6,7,5,3] => [2,7,3,6,4,5,1] => {{1,2,7},{3},{4,5,6}} => 1
[1,4,2,6,5,3,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,6,5,7,3] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,6,7,3,5] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,6,7,5,3] => [1,2,4,6,5,7,3] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => 2
[1,4,2,7,3,5,6] => [1,2,4,7,6,5,3] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => 2
[1,4,2,7,3,6,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,2,7,5,3,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,2,7,5,6,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,2,7,6,3,5] => [1,2,4,7,5,6,3] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => 1
[1,4,2,7,6,5,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,3,2,5,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,2,5,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,2,6,5,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,2,6,7,5] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,2,7,5,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,3,2,7,6,5] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,3,5,2,6,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,3,5,2,7,6] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,3,5,6,2,7] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => 4
[1,4,3,5,7,2,6] => [1,2,4,5,7,6,3] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => 2
[1,4,3,5,7,6,2] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,3,6,2,5,7] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[1,4,3,6,2,7,5] => [1,2,4,6,7,5,3] => [2,7,3,6,4,5,1] => {{1,2,7},{3},{4,5,6}} => 1
[1,4,3,6,5,2,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,6,5,7,2] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,6,7,2,5] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,6,7,5,2] => [1,2,4,6,5,7,3] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => 2
[1,4,3,7,2,5,6] => [1,2,4,7,6,5,3] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => 2
[1,4,3,7,2,6,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,3,7,5,2,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,3,7,5,6,2] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,3,7,6,2,5] => [1,2,4,7,5,6,3] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => 1
[1,4,3,7,6,5,2] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,5,2,3,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,2,3,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,2,6,3,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,2,6,7,3] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,2,7,3,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,5,2,7,6,3] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,5,3,2,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,3,2,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,3,6,2,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,3,6,7,2] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,3,7,2,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,5,3,7,6,2] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,5,6,2,3,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,6,2,7,3] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,6,3,2,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,6,3,7,2] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,6,7,2,3] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,6,7,3,2] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,5,7,2,3,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,5,7,2,6,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,5,7,3,2,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,5,7,3,6,2] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,5,7,6,2,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,5,7,6,3,2] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[1,4,6,2,3,5,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,2,3,7,5] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[1,4,6,2,5,3,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,2,5,7,3] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[1,4,6,2,7,3,5] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,2,7,5,3] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,3,2,5,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,3,2,7,5] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[1,4,6,3,5,2,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,3,5,7,2] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[1,4,6,3,7,2,5] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,3,7,5,2] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[1,4,6,5,2,3,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,5,2,7,3] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,5,3,2,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,5,3,7,2] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,5,7,2,3] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,5,7,3,2] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[1,4,6,7,2,3,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,6,7,2,5,3] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,6,7,3,2,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,6,7,3,5,2] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,6,7,5,2,3] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,6,7,5,3,2] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,2,3,5,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[1,4,7,2,3,6,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,2,5,3,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[1,4,7,2,5,6,3] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,2,6,3,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,2,6,5,3] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,3,2,5,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[1,4,7,3,2,6,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,3,5,2,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[1,4,7,3,5,6,2] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,3,6,2,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,3,6,5,2] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[1,4,7,5,2,3,6] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[1,4,7,5,2,6,3] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[1,4,7,5,3,2,6] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[1,4,7,5,3,6,2] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[1,4,7,5,6,2,3] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[1,4,7,5,6,3,2] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[1,4,7,6,2,3,5] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,7,6,2,5,3] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[1,4,7,6,3,2,5] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,7,6,3,5,2] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[1,4,7,6,5,2,3] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,4,7,6,5,3,2] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[1,5,2,3,4,6,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,2,3,4,7,6] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,2,3,6,4,7] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,5,2,3,6,7,4] => [1,2,5,6,7,4,3] => [2,7,6,3,4,5,1] => {{1,2,7},{3,4,5,6}} => 0
[1,5,2,3,7,4,6] => [1,2,5,7,6,4,3] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}} => 1
[1,5,2,3,7,6,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,4,3,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,4,3,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,4,6,3,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,4,6,7,3] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,4,7,3,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,2,4,7,6,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,2,6,3,4,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,6,3,7,4] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,6,4,3,7] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[1,5,2,6,4,7,3] => [1,2,5,4,6,7,3] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => 2
[1,5,2,6,7,3,4] => [1,2,5,7,4,6,3] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}} => 0
[1,5,2,6,7,4,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,2,7,3,4,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,2,7,3,6,4] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,2,7,4,3,6] => [1,2,5,4,7,6,3] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0
[1,5,2,7,4,6,3] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,2,7,6,3,4] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,2,7,6,4,3] => [1,2,5,6,4,7,3] => [2,7,5,3,4,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[1,5,3,2,4,6,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,3,2,4,7,6] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,3,2,6,4,7] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,5,3,2,6,7,4] => [1,2,5,6,7,4,3] => [2,7,6,3,4,5,1] => {{1,2,7},{3,4,5,6}} => 0
[1,5,3,2,7,4,6] => [1,2,5,7,6,4,3] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}} => 1
[1,5,3,2,7,6,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,4,2,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,4,2,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,4,6,2,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,4,6,7,2] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,4,7,2,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,3,4,7,6,2] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,3,6,2,4,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,6,2,7,4] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,6,4,2,7] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[1,5,3,6,4,7,2] => [1,2,5,4,6,7,3] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => 2
[1,5,3,6,7,2,4] => [1,2,5,7,4,6,3] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}} => 0
[1,5,3,6,7,4,2] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,3,7,2,4,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,3,7,2,6,4] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,3,7,4,2,6] => [1,2,5,4,7,6,3] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0
[1,5,3,7,4,6,2] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,3,7,6,2,4] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,3,7,6,4,2] => [1,2,5,6,4,7,3] => [2,7,5,3,4,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[1,5,4,2,3,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,2,3,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,2,6,3,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,2,6,7,3] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,2,7,3,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,4,2,7,6,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,4,3,2,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,3,2,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,3,6,2,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,3,6,7,2] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,3,7,2,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,4,3,7,6,2] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,4,6,2,3,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,6,2,7,3] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,6,3,2,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,6,3,7,2] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,6,7,2,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,4,6,7,3,2] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[1,5,4,7,2,3,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,4,7,2,6,3] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,4,7,3,2,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,4,7,3,6,2] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,4,7,6,2,3] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,4,7,6,3,2] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,2,3,4,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,2,3,7,4] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,5,6,2,4,3,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,6,2,4,7,3] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,6,2,7,3,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,2,7,4,3] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,3,2,4,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,3,2,7,4] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,5,6,3,4,2,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,6,3,4,7,2] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,6,3,7,2,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,3,7,4,2] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,4,2,3,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,4,2,7,3] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,5,6,4,3,2,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,4,3,7,2] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[1,5,6,4,7,2,3] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,4,7,3,2] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,6,7,2,3,4] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,7,2,4,3] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,7,3,2,4] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,7,3,4,2] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[1,5,6,7,4,2,3] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,6,7,4,3,2] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[1,5,7,2,3,4,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,5,7,2,3,6,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,2,4,3,6] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[1,5,7,2,4,6,3] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[1,5,7,2,6,3,4] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,7,2,6,4,3] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,5,7,3,2,4,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,5,7,3,2,6,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,3,4,2,6] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[1,5,7,3,4,6,2] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[1,5,7,3,6,2,4] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,7,3,6,4,2] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,5,7,4,2,3,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,5,7,4,2,6,3] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,4,3,2,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[1,5,7,4,3,6,2] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,4,6,2,3] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,7,4,6,3,2] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,5,7,6,2,3,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,6,2,4,3] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,6,3,2,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,6,3,4,2] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,5,7,6,4,2,3] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[1,5,7,6,4,3,2] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[1,6,2,3,4,5,7] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[1,6,2,3,4,7,5] => [1,2,6,7,5,4,3] => [2,7,6,5,3,4,1] => {{1,2,7},{3,4,5,6}} => 0
[1,6,2,3,5,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,2,3,5,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,2,3,7,4,5] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,2,3,7,5,4] => [1,2,6,5,7,4,3] => [2,7,6,4,3,5,1] => {{1,2,7},{3,5,6},{4}} => 1
[1,6,2,4,3,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,2,4,3,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,2,4,5,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,2,4,5,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,2,4,7,3,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,2,4,7,5,3] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,2,5,3,4,7] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,6,2,5,3,7,4] => [1,2,6,7,4,5,3] => [2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => 0
[1,6,2,5,4,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,2,5,4,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,2,5,7,3,4] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,2,5,7,4,3] => [1,2,6,4,5,7,3] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[1,6,2,7,3,4,5] => [1,2,6,4,7,5,3] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}} => 0
[1,6,2,7,3,5,4] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,2,7,4,3,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,2,7,4,5,3] => [1,2,6,5,4,7,3] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => 2
[1,6,2,7,5,3,4] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,2,7,5,4,3] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,2,4,5,7] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[1,6,3,2,4,7,5] => [1,2,6,7,5,4,3] => [2,7,6,5,3,4,1] => {{1,2,7},{3,4,5,6}} => 0
[1,6,3,2,5,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,2,5,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,3,2,7,4,5] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,2,7,5,4] => [1,2,6,5,7,4,3] => [2,7,6,4,3,5,1] => {{1,2,7},{3,5,6},{4}} => 1
[1,6,3,4,2,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,3,4,2,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,4,5,2,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,3,4,5,7,2] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,4,7,2,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,3,4,7,5,2] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,3,5,2,4,7] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,6,3,5,2,7,4] => [1,2,6,7,4,5,3] => [2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => 0
[1,6,3,5,4,2,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,3,5,4,7,2] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,3,5,7,2,4] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,3,5,7,4,2] => [1,2,6,4,5,7,3] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[1,6,3,7,2,4,5] => [1,2,6,4,7,5,3] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}} => 0
[1,6,3,7,2,5,4] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,3,7,4,2,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,3,7,4,5,2] => [1,2,6,5,4,7,3] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => 2
[1,6,3,7,5,2,4] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,3,7,5,4,2] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,2,3,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,2,3,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,2,5,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,2,5,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,2,7,3,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,2,7,5,3] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,3,2,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,3,2,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,3,5,2,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,3,5,7,2] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,3,7,2,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,3,7,5,2] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,5,2,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,5,2,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,5,3,2,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,5,3,7,2] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,4,5,7,2,3] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,5,7,3,2] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,4,7,2,3,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,4,7,2,5,3] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,7,3,2,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,4,7,3,5,2] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[1,6,4,7,5,2,3] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,4,7,5,3,2] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[1,6,5,2,3,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,2,3,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,5,2,4,3,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,2,4,7,3] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,6,5,2,7,3,4] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,5,2,7,4,3] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,3,2,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,3,2,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[1,6,5,3,4,2,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,3,4,7,2] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,6,5,3,7,2,4] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,5,3,7,4,2] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,4,2,3,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,4,2,7,3] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,6,5,4,3,2,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,4,3,7,2] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[1,6,5,4,7,2,3] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,5,4,7,3,2] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,5,7,2,3,4] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,7,2,4,3] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,7,3,2,4] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,7,3,4,2] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,7,4,2,3] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,5,7,4,3,2] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,7,2,3,4,5] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,7,2,3,5,4] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,6,7,2,4,3,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,7,2,4,5,3] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[1,6,7,2,5,3,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,2,5,4,3] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,7,3,2,4,5] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,7,3,2,5,4] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,6,7,3,4,2,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,7,3,4,5,2] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[1,6,7,3,5,2,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,3,5,4,2] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[1,6,7,4,2,3,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,7,4,2,5,3] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,6,7,4,3,2,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[1,6,7,4,3,5,2] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[1,6,7,4,5,2,3] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,4,5,3,2] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,5,2,3,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,5,2,4,3] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,6,7,5,3,2,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,5,3,4,2] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[1,6,7,5,4,2,3] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,6,7,5,4,3,2] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,2,3,4,5,6] => [1,2,7,6,5,4,3] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0
[1,7,2,3,4,6,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,2,3,5,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,3,5,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,2,3,6,4,5] => [1,2,7,5,6,4,3] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => 2
[1,7,2,3,6,5,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,2,4,3,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[1,7,2,4,3,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,2,4,5,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,2,4,5,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,4,6,3,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,7,2,4,6,5,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,5,3,4,6] => [1,2,7,6,4,5,3] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}} => 0
[1,7,2,5,3,6,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,5,4,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,2,5,4,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,5,6,3,4] => [1,2,7,4,5,6,3] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => 0
[1,7,2,5,6,4,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,2,6,3,4,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,2,6,3,5,4] => [1,2,7,4,6,5,3] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => 1
[1,7,2,6,4,3,5] => [1,2,7,5,4,6,3] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => 1
[1,7,2,6,4,5,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,2,6,5,3,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,2,6,5,4,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,3,2,4,5,6] => [1,2,7,6,5,4,3] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0
[1,7,3,2,4,6,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,3,2,5,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,2,5,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,3,2,6,4,5] => [1,2,7,5,6,4,3] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => 2
[1,7,3,2,6,5,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,3,4,2,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[1,7,3,4,2,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,3,4,5,2,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,3,4,5,6,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,4,6,2,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,7,3,4,6,5,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,5,2,4,6] => [1,2,7,6,4,5,3] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}} => 0
[1,7,3,5,2,6,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,5,4,2,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,3,5,4,6,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,5,6,2,4] => [1,2,7,4,5,6,3] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => 0
[1,7,3,5,6,4,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,3,6,2,4,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,3,6,2,5,4] => [1,2,7,4,6,5,3] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => 1
[1,7,3,6,4,2,5] => [1,2,7,5,4,6,3] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => 1
[1,7,3,6,4,5,2] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,3,6,5,2,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,3,6,5,4,2] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,4,2,3,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[1,7,4,2,3,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,4,2,5,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,4,2,5,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,2,6,3,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,7,4,2,6,5,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,3,2,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[1,7,4,3,2,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,4,3,5,2,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,4,3,5,6,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,3,6,2,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[1,7,4,3,6,5,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,5,2,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,4,5,2,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,5,3,2,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,4,5,3,6,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,5,6,2,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,5,6,3,2] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,4,6,2,3,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,4,6,2,5,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,4,6,3,2,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[1,7,4,6,3,5,2] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,4,6,5,2,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,4,6,5,3,2] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[1,7,5,2,3,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,2,3,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,5,2,4,3,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,2,4,6,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,2,6,3,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,5,2,6,4,3] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,3,2,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,3,2,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,5,3,4,2,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,3,4,6,2] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,3,6,2,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[1,7,5,3,6,4,2] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,4,2,3,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,4,2,6,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,4,3,2,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,4,3,6,2] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,4,6,2,3] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,4,6,3,2] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,5,6,2,3,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,5,6,2,4,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,6,3,2,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,5,6,3,4,2] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,6,4,2,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,5,6,4,3,2] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[1,7,6,2,3,4,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,2,3,5,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,2,4,3,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,2,4,5,3] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,6,2,5,3,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,2,5,4,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,3,2,4,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,3,2,5,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,3,4,2,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,3,4,5,2] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,6,3,5,2,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,3,5,4,2] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,4,2,3,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,4,2,5,3] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,6,4,3,2,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[1,7,6,4,3,5,2] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[1,7,6,4,5,2,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,4,5,3,2] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,5,2,3,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,5,2,4,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,5,3,2,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[1,7,6,5,3,4,2] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,5,4,2,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[1,7,6,5,4,3,2] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,1,3,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,3,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,3,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,1,3,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,1,3,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,3,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,3,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,1,3,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,1,3,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,3,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,3,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,3,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,3,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,3,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,4,5,3,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,5,3,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,5,6,3,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,5,6,7,3] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,4,6,3,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,1,4,6,5,3,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,1,4,6,7,3,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,4,6,7,5,3] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,4,7,3,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,1,4,7,3,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,7,5,3,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,1,4,7,5,6,3] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,7,6,3,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,4,7,6,5,3] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,5,3,4,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,3,4,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,3,6,4,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[2,1,5,3,7,4,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[2,1,5,3,7,6,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,4,3,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,4,3,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,4,6,3,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[2,1,5,4,7,3,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[2,1,5,4,7,6,3] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,3,4,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,3,7,4] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,4,3,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,4,7,3] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,7,3,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,6,7,4,3] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,1,5,7,3,4,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,1,5,7,3,6,4] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,1,5,7,4,3,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,1,5,7,4,6,3] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,1,5,7,6,3,4] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,1,5,7,6,4,3] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,1,6,3,4,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,1,6,3,4,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[2,1,6,3,5,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,3,5,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,3,7,4,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,3,7,5,4] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[2,1,6,4,3,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,1,6,4,3,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[2,1,6,4,5,3,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,4,5,7,3] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,4,7,3,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,4,7,5,3] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[2,1,6,5,3,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,5,3,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,5,4,3,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,5,4,7,3] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,5,7,3,4] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,5,7,4,3] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,6,7,3,4,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,6,7,3,5,4] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,1,6,7,4,3,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,6,7,4,5,3] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,1,6,7,5,3,4] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,6,7,5,4,3] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,1,7,3,4,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[2,1,7,3,4,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,3,5,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,7,3,5,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,3,6,4,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[2,1,7,3,6,5,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,4,3,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[2,1,7,4,3,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,4,5,3,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,7,4,5,6,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,4,6,3,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[2,1,7,4,6,5,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,5,3,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,7,5,3,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,5,4,3,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,1,7,5,4,6,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,5,6,3,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,5,6,4,3] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,1,7,6,3,4,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,6,3,5,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,6,4,3,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,6,4,5,3] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,6,5,3,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,1,7,6,5,4,3] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,4,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,4,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,4,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,4,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,1,5,4,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,5,4,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,5,6,4,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,5,6,7,4] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,1,6,4,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,3,1,6,5,4,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,3,1,6,7,4,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,1,6,7,5,4] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,1,7,4,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,3,1,7,4,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,7,5,4,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,3,1,7,5,6,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,7,6,4,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,1,7,6,5,4] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,1,5,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,1,5,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,1,6,5,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,1,6,7,5] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,4,5,1,6,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,5,1,7,6] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,5,6,1,7] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,5,6,7,1] => [1,2,3,4,5,6,7] => [2,3,4,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [2,3,4,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,4,6,1,5,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,3,4,6,5,1,7] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => [2,3,4,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,3,4,6,7,1,5] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,4,6,7,5,1] => [1,2,3,4,6,5,7] => [2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,4,7,1,5,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,3,4,7,1,6,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,7,5,1,6] => [1,2,3,4,7,6,5] => [2,3,4,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,7,6,1,5] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => [2,3,4,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,5,1,4,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,1,4,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,1,6,4,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[2,3,5,1,7,4,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[2,3,5,1,7,6,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,4,1,6,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,4,1,7,6] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,4,6,1,7] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => [2,3,7,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[2,3,5,4,7,1,6] => [1,2,3,5,7,6,4] => [2,3,7,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[2,3,5,4,7,6,1] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,1,4,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,1,7,4] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,4,1,7] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,4,7,1] => [1,2,3,5,4,6,7] => [2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,7,1,4] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,6,7,4,1] => [1,2,3,5,7,4,6] => [2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,3,5,7,1,4,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,3,5,7,1,6,4] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,3,5,7,4,1,6] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,3,5,7,4,6,1] => [1,2,3,5,4,7,6] => [2,3,5,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,3,5,7,6,1,4] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,3,5,7,6,4,1] => [1,2,3,5,6,4,7] => [2,3,6,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,3,6,1,4,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,3,6,1,4,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[2,3,6,1,5,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,1,5,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,1,7,4,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,1,7,5,4] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[2,3,6,4,1,5,7] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,3,6,4,1,7,5] => [1,2,3,6,7,5,4] => [2,3,7,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[2,3,6,4,5,1,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,4,5,7,1] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,4,7,1,5] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,4,7,5,1] => [1,2,3,6,5,7,4] => [2,3,7,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[2,3,6,5,1,4,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,5,1,7,4] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,5,4,1,7] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,5,4,7,1] => [1,2,3,6,7,4,5] => [2,3,6,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,5,7,1,4] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => [2,3,5,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,6,7,1,4,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,6,7,1,5,4] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,3,6,7,4,1,5] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,6,7,4,5,1] => [1,2,3,6,5,4,7] => [2,3,6,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[2,3,6,7,5,1,4] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,6,7,5,4,1] => [1,2,3,6,4,7,5] => [2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,3,7,1,4,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[2,3,7,1,4,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,1,5,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,7,1,5,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,1,6,4,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[2,3,7,1,6,5,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,4,1,5,6] => [1,2,3,7,6,5,4] => [2,3,7,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[2,3,7,4,1,6,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,4,5,1,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,4,6,1,5] => [1,2,3,7,5,6,4] => [2,3,7,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[2,3,7,4,6,5,1] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,5,1,4,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,7,5,1,6,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,5,4,1,6] => [1,2,3,7,6,4,5] => [2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,3,7,5,4,6,1] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,5,6,1,4] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => [2,3,5,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,3,7,6,1,4,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,6,1,5,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,6,4,1,5] => [1,2,3,7,5,4,6] => [2,3,6,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,6,4,5,1] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,6,5,1,4] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,3,7,6,5,4,1] => [1,2,3,7,4,6,5] => [2,3,5,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,4,1,3,5,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,3,5,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,3,6,5,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,3,6,7,5] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,3,7,5,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,1,3,7,6,5] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,1,5,3,6,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,1,5,3,7,6] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,1,5,6,3,7] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => 4
[2,4,1,5,7,3,6] => [1,2,4,5,7,6,3] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => 2
[2,4,1,5,7,6,3] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,1,6,3,5,7] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[2,4,1,6,3,7,5] => [1,2,4,6,7,5,3] => [2,7,3,6,4,5,1] => {{1,2,7},{3},{4,5,6}} => 1
[2,4,1,6,5,3,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,6,5,7,3] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,6,7,3,5] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,6,7,5,3] => [1,2,4,6,5,7,3] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => 2
[2,4,1,7,3,5,6] => [1,2,4,7,6,5,3] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => 2
[2,4,1,7,3,6,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,1,7,5,3,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,1,7,5,6,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,1,7,6,3,5] => [1,2,4,7,5,6,3] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => 1
[2,4,1,7,6,5,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,3,1,5,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,1,5,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,1,6,5,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,1,6,7,5] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,1,7,5,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,3,1,7,6,5] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,3,5,1,6,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,3,5,1,7,6] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,3,5,6,1,7] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [2,7,3,4,5,6,1] => {{1,2,7},{3},{4},{5},{6}} => 4
[2,4,3,5,7,1,6] => [1,2,4,5,7,6,3] => [2,7,3,4,6,5,1] => {{1,2,7},{3},{4},{5,6}} => 2
[2,4,3,5,7,6,1] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,3,6,1,5,7] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[2,4,3,6,1,7,5] => [1,2,4,6,7,5,3] => [2,7,3,6,4,5,1] => {{1,2,7},{3},{4,5,6}} => 1
[2,4,3,6,5,1,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,6,5,7,1] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,6,7,1,5] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,6,7,5,1] => [1,2,4,6,5,7,3] => [2,7,3,5,4,6,1] => {{1,2,7},{3},{4,5},{6}} => 2
[2,4,3,7,1,5,6] => [1,2,4,7,6,5,3] => [2,7,3,6,5,4,1] => {{1,2,7},{3},{4,6},{5}} => 2
[2,4,3,7,1,6,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,3,7,5,1,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,3,7,5,6,1] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,3,7,6,1,5] => [1,2,4,7,5,6,3] => [2,7,3,5,6,4,1] => {{1,2,7},{3},{4,5,6}} => 1
[2,4,3,7,6,5,1] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,5,1,3,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,1,3,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,1,6,3,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,1,6,7,3] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,1,7,3,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,5,1,7,6,3] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,5,3,1,6,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,3,1,7,6] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,3,6,1,7] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,3,6,7,1] => [1,2,4,3,5,6,7] => [2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,3,7,1,6] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,5,3,7,6,1] => [1,2,4,3,5,7,6] => [2,4,3,5,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,5,6,1,3,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,6,1,7,3] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,6,3,1,7] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,6,3,7,1] => [1,2,4,6,7,3,5] => [2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,6,7,1,3] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,6,7,3,1] => [1,2,4,6,3,5,7] => [2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,5,7,1,3,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,5,7,1,6,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,5,7,3,1,6] => [1,2,4,7,6,3,5] => [2,6,3,7,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,5,7,3,6,1] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,5,7,6,1,3] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,5,7,6,3,1] => [1,2,4,7,3,5,6] => [2,5,3,6,7,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[2,4,6,1,3,5,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,1,3,7,5] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[2,4,6,1,5,3,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,1,5,7,3] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[2,4,6,1,7,3,5] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,1,7,5,3] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,3,1,5,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,3,1,7,5] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[2,4,6,3,5,1,7] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,3,5,7,1] => [1,2,4,3,6,7,5] => [2,4,3,7,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[2,4,6,3,7,1,5] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,3,7,5,1] => [1,2,4,3,6,5,7] => [2,4,3,6,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[2,4,6,5,1,3,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,5,1,7,3] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,5,3,1,7] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,5,3,7,1] => [1,2,4,5,3,6,7] => [2,5,3,4,6,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,5,7,1,3] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,5,7,3,1] => [1,2,4,5,7,3,6] => [2,6,3,4,7,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[2,4,6,7,1,3,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,6,7,1,5,3] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,6,7,3,1,5] => [1,2,4,7,5,3,6] => [2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,6,7,3,5,1] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,6,7,5,1,3] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,6,7,5,3,1] => [1,2,4,7,3,6,5] => [2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,1,3,5,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[2,4,7,1,3,6,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,1,5,3,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[2,4,7,1,5,6,3] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,1,6,3,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,1,6,5,3] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,3,1,5,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[2,4,7,3,1,6,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,3,5,1,6] => [1,2,4,3,7,6,5] => [2,4,3,7,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[2,4,7,3,5,6,1] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,3,6,1,5] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,3,6,5,1] => [1,2,4,3,7,5,6] => [2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[2,4,7,5,1,3,6] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[2,4,7,5,1,6,3] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[2,4,7,5,3,1,6] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[2,4,7,5,3,6,1] => [1,2,4,5,3,7,6] => [2,5,3,4,7,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[2,4,7,5,6,1,3] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,7,5,6,3,1] => [1,2,4,5,6,3,7] => [2,6,3,4,5,7,1] => {{1,2,6,7},{3},{4},{5}} => 3
[2,4,7,6,1,3,5] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,7,6,1,5,3] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[2,4,7,6,3,1,5] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,7,6,3,5,1] => [1,2,4,6,5,3,7] => [2,6,3,5,4,7,1] => {{1,2,6,7},{3},{4,5}} => 1
[2,4,7,6,5,1,3] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,4,7,6,5,3,1] => [1,2,4,6,3,7,5] => [2,5,3,7,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[2,5,1,3,4,6,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,1,3,4,7,6] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,1,3,6,4,7] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,5,1,3,6,7,4] => [1,2,5,6,7,4,3] => [2,7,6,3,4,5,1] => {{1,2,7},{3,4,5,6}} => 0
[2,5,1,3,7,4,6] => [1,2,5,7,6,4,3] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}} => 1
[2,5,1,3,7,6,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,4,3,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,4,3,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,4,6,3,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,4,6,7,3] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,4,7,3,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,1,4,7,6,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,1,6,3,4,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,6,3,7,4] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,6,4,3,7] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[2,5,1,6,4,7,3] => [1,2,5,4,6,7,3] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => 2
[2,5,1,6,7,3,4] => [1,2,5,7,4,6,3] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}} => 0
[2,5,1,6,7,4,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,1,7,3,4,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,1,7,3,6,4] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,1,7,4,3,6] => [1,2,5,4,7,6,3] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0
[2,5,1,7,4,6,3] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,1,7,6,3,4] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,1,7,6,4,3] => [1,2,5,6,4,7,3] => [2,7,5,3,4,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[2,5,3,1,4,6,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,3,1,4,7,6] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,3,1,6,4,7] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,5,3,1,6,7,4] => [1,2,5,6,7,4,3] => [2,7,6,3,4,5,1] => {{1,2,7},{3,4,5,6}} => 0
[2,5,3,1,7,4,6] => [1,2,5,7,6,4,3] => [2,7,6,3,5,4,1] => {{1,2,7},{3,4,6},{5}} => 1
[2,5,3,1,7,6,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,4,1,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,4,1,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,4,6,1,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,4,6,7,1] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,4,7,1,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,3,4,7,6,1] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,3,6,1,4,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,6,1,7,4] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,6,4,1,7] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[2,5,3,6,4,7,1] => [1,2,5,4,6,7,3] => [2,7,4,3,5,6,1] => {{1,2,7},{3,4},{5},{6}} => 2
[2,5,3,6,7,1,4] => [1,2,5,7,4,6,3] => [2,7,5,3,6,4,1] => {{1,2,7},{3,4,5,6}} => 0
[2,5,3,6,7,4,1] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,3,7,1,4,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,3,7,1,6,4] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,3,7,4,1,6] => [1,2,5,4,7,6,3] => [2,7,4,3,6,5,1] => {{1,2,7},{3,4},{5,6}} => 0
[2,5,3,7,4,6,1] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,3,7,6,1,4] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,3,7,6,4,1] => [1,2,5,6,4,7,3] => [2,7,5,3,4,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[2,5,4,1,3,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,1,3,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,1,6,3,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,1,6,7,3] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,1,7,3,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,4,1,7,6,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,4,3,1,6,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,3,1,7,6] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,3,6,1,7] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,3,6,7,1] => [1,2,5,6,7,3,4] => [2,6,7,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,3,7,1,6] => [1,2,5,7,6,3,4] => [2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,4,3,7,6,1] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,4,6,1,3,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,6,1,7,3] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,6,3,1,7] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,6,3,7,1] => [1,2,5,3,4,6,7] => [2,4,5,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,6,7,1,3] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,4,6,7,3,1] => [1,2,5,7,3,4,6] => [2,5,6,3,7,4,1] => {{1,2,5,7},{3,4,6}} => 0
[2,5,4,7,1,3,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,4,7,1,6,3] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,4,7,3,1,6] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,4,7,3,6,1] => [1,2,5,3,4,7,6] => [2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,4,7,6,1,3] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,4,7,6,3,1] => [1,2,5,6,3,4,7] => [2,5,6,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,1,3,4,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,1,3,7,4] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,5,6,1,4,3,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,6,1,4,7,3] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,6,1,7,3,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,1,7,4,3] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,3,1,4,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,3,1,7,4] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,5,6,3,4,1,7] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,6,3,4,7,1] => [1,2,5,4,3,6,7] => [2,5,4,3,6,7,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,6,3,7,1,4] => [1,2,5,7,4,3,6] => [2,6,5,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,3,7,4,1] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,4,1,3,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,4,1,7,3] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,5,6,4,3,1,7] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,4,3,7,1] => [1,2,5,3,6,7,4] => [2,4,7,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[2,5,6,4,7,1,3] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,4,7,3,1] => [1,2,5,7,3,6,4] => [2,5,7,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,6,7,1,3,4] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,7,1,4,3] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,7,3,1,4] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,7,3,4,1] => [1,2,5,3,6,4,7] => [2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[2,5,6,7,4,1,3] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,6,7,4,3,1] => [1,2,5,4,7,3,6] => [2,6,4,3,7,5,1] => {{1,2,5,6,7},{3,4}} => 0
[2,5,7,1,3,4,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,5,7,1,3,6,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,1,4,3,6] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[2,5,7,1,4,6,3] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[2,5,7,1,6,3,4] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,7,1,6,4,3] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,5,7,3,1,4,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,5,7,3,1,6,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,3,4,1,6] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[2,5,7,3,4,6,1] => [1,2,5,4,3,7,6] => [2,5,4,3,7,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[2,5,7,3,6,1,4] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,7,3,6,4,1] => [1,2,5,6,4,3,7] => [2,6,5,3,4,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,5,7,4,1,3,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,5,7,4,1,6,3] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,4,3,1,6] => [1,2,5,3,7,6,4] => [2,4,7,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[2,5,7,4,3,6,1] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,4,6,1,3] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,7,4,6,3,1] => [1,2,5,6,3,7,4] => [2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,5,7,6,1,3,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,6,1,4,3] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,6,3,1,4] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,6,3,4,1] => [1,2,5,3,7,4,6] => [2,4,6,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,5,7,6,4,1,3] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[2,5,7,6,4,3,1] => [1,2,5,4,6,3,7] => [2,6,4,3,5,7,1] => {{1,2,6,7},{3,4},{5}} => 1
[2,6,1,3,4,5,7] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[2,6,1,3,4,7,5] => [1,2,6,7,5,4,3] => [2,7,6,5,3,4,1] => {{1,2,7},{3,4,5,6}} => 0
[2,6,1,3,5,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,1,3,5,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,1,3,7,4,5] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,1,3,7,5,4] => [1,2,6,5,7,4,3] => [2,7,6,4,3,5,1] => {{1,2,7},{3,5,6},{4}} => 1
[2,6,1,4,3,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,1,4,3,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,1,4,5,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,1,4,5,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,1,4,7,3,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,1,4,7,5,3] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,1,5,3,4,7] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,6,1,5,3,7,4] => [1,2,6,7,4,5,3] => [2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => 0
[2,6,1,5,4,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,1,5,4,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,1,5,7,3,4] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,1,5,7,4,3] => [1,2,6,4,5,7,3] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[2,6,1,7,3,4,5] => [1,2,6,4,7,5,3] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}} => 0
[2,6,1,7,3,5,4] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,1,7,4,3,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,1,7,4,5,3] => [1,2,6,5,4,7,3] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => 2
[2,6,1,7,5,3,4] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,1,7,5,4,3] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,1,4,5,7] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[2,6,3,1,4,7,5] => [1,2,6,7,5,4,3] => [2,7,6,5,3,4,1] => {{1,2,7},{3,4,5,6}} => 0
[2,6,3,1,5,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,1,5,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,3,1,7,4,5] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,1,7,5,4] => [1,2,6,5,7,4,3] => [2,7,6,4,3,5,1] => {{1,2,7},{3,5,6},{4}} => 1
[2,6,3,4,1,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,3,4,1,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,4,5,1,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,3,4,5,7,1] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,4,7,1,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,3,4,7,5,1] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,3,5,1,4,7] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,6,3,5,1,7,4] => [1,2,6,7,4,5,3] => [2,7,5,6,3,4,1] => {{1,2,7},{3,5},{4,6}} => 0
[2,6,3,5,4,1,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,3,5,4,7,1] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,3,5,7,1,4] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,3,5,7,4,1] => [1,2,6,4,5,7,3] => [2,7,4,5,3,6,1] => {{1,2,7},{3,4,5},{6}} => 1
[2,6,3,7,1,4,5] => [1,2,6,4,7,5,3] => [2,7,4,6,3,5,1] => {{1,2,7},{3,4,5,6}} => 0
[2,6,3,7,1,5,4] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,3,7,4,1,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,3,7,4,5,1] => [1,2,6,5,4,7,3] => [2,7,5,4,3,6,1] => {{1,2,7},{3,5},{4},{6}} => 2
[2,6,3,7,5,1,4] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,3,7,5,4,1] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,1,3,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,1,3,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,1,5,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,1,5,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,1,7,3,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,1,7,5,3] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,3,1,5,7] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,3,1,7,5] => [1,2,6,7,5,3,4] => [2,6,7,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,3,5,1,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,3,5,7,1] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,3,7,1,5] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,3,7,5,1] => [1,2,6,5,7,3,4] => [2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,5,1,3,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,5,1,7,3] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,5,3,1,7] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,5,3,7,1] => [1,2,6,7,3,4,5] => [2,5,6,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,4,5,7,1,3] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => [2,4,5,6,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,4,7,1,3,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,4,7,1,5,3] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,7,3,1,5] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,4,7,3,5,1] => [1,2,6,5,3,4,7] => [2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[2,6,4,7,5,1,3] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => [2,4,5,7,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[2,6,5,1,3,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,1,3,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,5,1,4,3,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,1,4,7,3] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,6,5,1,7,3,4] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,5,1,7,4,3] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,3,1,4,7] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,3,1,7,4] => [1,2,6,7,4,3,5] => [2,6,5,7,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[2,6,5,3,4,1,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,3,4,7,1] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,6,5,3,7,1,4] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,5,3,7,4,1] => [1,2,6,4,3,5,7] => [2,5,4,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,4,1,3,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,4,1,7,3] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,6,5,4,3,1,7] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,4,3,7,1] => [1,2,6,7,3,5,4] => [2,5,7,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[2,6,5,4,7,1,3] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,5,4,7,3,1] => [1,2,6,3,5,7,4] => [2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,5,7,1,3,4] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,7,1,4,3] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,7,3,1,4] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,7,3,4,1] => [1,2,6,4,7,3,5] => [2,6,4,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,7,4,1,3] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,5,7,4,3,1] => [1,2,6,3,5,4,7] => [2,4,6,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,7,1,3,4,5] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,7,1,3,5,4] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,6,7,1,4,3,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,7,1,4,5,3] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[2,6,7,1,5,3,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,1,5,4,3] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,7,3,1,4,5] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,7,3,1,5,4] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,6,7,3,4,1,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,7,3,4,5,1] => [1,2,6,5,4,3,7] => [2,6,5,4,3,7,1] => {{1,2,6,7},{3,5},{4}} => 1
[2,6,7,3,5,1,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,3,5,4,1] => [1,2,6,4,3,7,5] => [2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[2,6,7,4,1,3,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,7,4,1,5,3] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,6,7,4,3,1,5] => [1,2,6,3,7,5,4] => [2,4,7,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[2,6,7,4,3,5,1] => [1,2,6,5,3,7,4] => [2,5,7,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[2,6,7,4,5,1,3] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,4,5,3,1] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,5,1,3,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,5,1,4,3] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,6,7,5,3,1,4] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,5,3,4,1] => [1,2,6,4,5,3,7] => [2,6,4,5,3,7,1] => {{1,2,6,7},{3,4,5}} => 0
[2,6,7,5,4,1,3] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,6,7,5,4,3,1] => [1,2,6,3,7,4,5] => [2,4,6,7,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,1,3,4,5,6] => [1,2,7,6,5,4,3] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0
[2,7,1,3,4,6,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,1,3,5,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,3,5,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,1,3,6,4,5] => [1,2,7,5,6,4,3] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => 2
[2,7,1,3,6,5,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,1,4,3,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[2,7,1,4,3,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,1,4,5,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,1,4,5,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,4,6,3,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,7,1,4,6,5,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,5,3,4,6] => [1,2,7,6,4,5,3] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}} => 0
[2,7,1,5,3,6,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,5,4,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,1,5,4,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,5,6,3,4] => [1,2,7,4,5,6,3] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => 0
[2,7,1,5,6,4,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,1,6,3,4,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,1,6,3,5,4] => [1,2,7,4,6,5,3] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => 1
[2,7,1,6,4,3,5] => [1,2,7,5,4,6,3] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => 1
[2,7,1,6,4,5,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,1,6,5,3,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,1,6,5,4,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,3,1,4,5,6] => [1,2,7,6,5,4,3] => [2,7,6,5,4,3,1] => {{1,2,7},{3,6},{4,5}} => 0
[2,7,3,1,4,6,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,3,1,5,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,1,5,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,3,1,6,4,5] => [1,2,7,5,6,4,3] => [2,7,6,4,5,3,1] => {{1,2,7},{3,6},{4},{5}} => 2
[2,7,3,1,6,5,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,3,4,1,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[2,7,3,4,1,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,3,4,5,1,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,4,6,1,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,7,3,4,6,5,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,5,1,4,6] => [1,2,7,6,4,5,3] => [2,7,5,6,4,3,1] => {{1,2,7},{3,4,5,6}} => 0
[2,7,3,5,1,6,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,5,4,1,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,3,5,4,6,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,5,6,1,4] => [1,2,7,4,5,6,3] => [2,7,4,5,6,3,1] => {{1,2,7},{3,4,5,6}} => 0
[2,7,3,5,6,4,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,3,6,1,4,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,3,6,1,5,4] => [1,2,7,4,6,5,3] => [2,7,4,6,5,3,1] => {{1,2,7},{3,4,6},{5}} => 1
[2,7,3,6,4,1,5] => [1,2,7,5,4,6,3] => [2,7,5,4,6,3,1] => {{1,2,7},{3,5,6},{4}} => 1
[2,7,3,6,4,5,1] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,3,6,5,1,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,3,6,5,4,1] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,4,1,3,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[2,7,4,1,3,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,4,1,5,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,4,1,5,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,1,6,3,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,7,4,1,6,5,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,3,1,5,6] => [1,2,7,6,5,3,4] => [2,6,7,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[2,7,4,3,1,6,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,4,3,5,1,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,4,3,5,6,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,3,6,1,5] => [1,2,7,5,6,3,4] => [2,6,7,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[2,7,4,3,6,5,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,5,1,3,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,4,5,1,6,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,5,3,1,6] => [1,2,7,6,3,4,5] => [2,5,6,7,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,4,5,3,6,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,5,6,1,3] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => [2,4,5,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,4,6,1,3,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,4,6,1,5,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,4,6,3,1,5] => [1,2,7,5,3,4,6] => [2,5,6,4,7,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[2,7,4,6,3,5,1] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,4,6,5,1,3] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => [2,4,5,7,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[2,7,5,1,3,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,1,3,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,5,1,4,3,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,1,4,6,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,1,6,3,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,5,1,6,4,3] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,3,1,4,6] => [1,2,7,6,4,3,5] => [2,6,5,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,3,1,6,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,5,3,4,1,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,3,4,6,1] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,3,6,1,4] => [1,2,7,4,3,5,6] => [2,5,4,6,7,3,1] => {{1,2,5,7},{3,4,6}} => 0
[2,7,5,3,6,4,1] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,4,1,3,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,4,1,6,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,4,3,1,6] => [1,2,7,6,3,5,4] => [2,5,7,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,4,3,6,1] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,4,6,1,3] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,4,6,3,1] => [1,2,7,3,5,6,4] => [2,4,7,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,5,6,1,3,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,5,6,1,4,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,6,3,1,4] => [1,2,7,4,6,3,5] => [2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,5,6,3,4,1] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,6,4,1,3] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,5,6,4,3,1] => [1,2,7,3,5,4,6] => [2,4,6,5,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[2,7,6,1,3,4,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,1,3,5,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,1,4,3,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,1,4,5,3] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,6,1,5,3,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,1,5,4,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,3,1,4,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,3,1,5,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,3,4,1,5] => [1,2,7,5,4,3,6] => [2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,3,4,5,1] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,6,3,5,1,4] => [1,2,7,4,3,6,5] => [2,5,4,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,3,5,4,1] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,4,1,3,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,4,1,5,3] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,6,4,3,1,5] => [1,2,7,5,3,6,4] => [2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[2,7,6,4,3,5,1] => [1,2,7,3,6,5,4] => [2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[2,7,6,4,5,1,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,4,5,3,1] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,5,1,3,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,5,1,4,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,5,3,1,4] => [1,2,7,4,5,3,6] => [2,6,4,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[2,7,6,5,3,4,1] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,5,4,1,3] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[2,7,6,5,4,3,1] => [1,2,7,3,6,4,5] => [2,4,6,7,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[3,1,2,4,5,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,4,5,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,4,6,5,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,4,6,7,5] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,4,7,5,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,2,4,7,6,5] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,2,5,4,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,5,4,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,5,6,4,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,5,6,7,4] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,5,7,4,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,2,5,7,6,4] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,2,6,4,5,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,2,6,4,7,5] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,1,2,6,5,4,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,2,6,5,7,4] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,1,2,6,7,4,5] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,2,6,7,5,4] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,2,7,4,5,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,1,2,7,4,6,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,7,5,4,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,1,2,7,5,6,4] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,7,6,4,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,2,7,6,5,4] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,4,2,5,6,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,2,5,7,6] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,2,6,5,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,2,6,7,5] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,2,7,5,6] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,1,4,2,7,6,5] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,1,4,5,2,6,7] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,1,4,5,2,7,6] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,1,4,5,6,2,7] => [1,3,4,5,6,2,7] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => 4
[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => 5
[3,1,4,5,7,2,6] => [1,3,4,5,7,6,2] => [7,2,3,4,6,5,1] => {{1,7},{2},{3},{4},{5,6}} => 3
[3,1,4,5,7,6,2] => [1,3,4,5,7,2,6] => [6,2,3,4,7,5,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,1,4,6,2,5,7] => [1,3,4,6,5,2,7] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => 2
[3,1,4,6,2,7,5] => [1,3,4,6,7,5,2] => [7,2,3,6,4,5,1] => {{1,7},{2},{3},{4,5,6}} => 2
[3,1,4,6,5,2,7] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,6,5,7,2] => [1,3,4,6,7,2,5] => [6,2,3,7,4,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,6,7,2,5] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,6,7,5,2] => [1,3,4,6,5,7,2] => [7,2,3,5,4,6,1] => {{1,7},{2},{3},{4,5},{6}} => 3
[3,1,4,7,2,5,6] => [1,3,4,7,6,5,2] => [7,2,3,6,5,4,1] => {{1,7},{2},{3},{4,6},{5}} => 3
[3,1,4,7,2,6,5] => [1,3,4,7,5,2,6] => [6,2,3,5,7,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,1,4,7,5,2,6] => [1,3,4,7,6,2,5] => [6,2,3,7,5,4,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,1,4,7,5,6,2] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,1,4,7,6,2,5] => [1,3,4,7,5,6,2] => [7,2,3,5,6,4,1] => {{1,7},{2},{3},{4,5,6}} => 2
[3,1,4,7,6,5,2] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,1,5,2,4,6,7] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,1,5,2,4,7,6] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,1,5,2,6,4,7] => [1,3,5,6,4,2,7] => [6,2,5,3,4,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,1,5,2,6,7,4] => [1,3,5,6,7,4,2] => [7,2,6,3,4,5,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,5,2,7,4,6] => [1,3,5,7,6,4,2] => [7,2,6,3,5,4,1] => {{1,7},{2},{3,4,6},{5}} => 2
[3,1,5,2,7,6,4] => [1,3,5,7,4,2,6] => [6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,4,2,6,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,4,2,7,6] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,4,6,2,7] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,4,6,7,2] => [1,3,5,6,7,2,4] => [6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,4,7,2,6] => [1,3,5,7,6,2,4] => [6,2,7,3,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,5,4,7,6,2] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,1,5,6,2,4,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,6,2,7,4] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,6,4,2,7] => [1,3,5,4,6,2,7] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => 2
[3,1,5,6,4,7,2] => [1,3,5,4,6,7,2] => [7,2,4,3,5,6,1] => {{1,7},{2},{3,4},{5},{6}} => 3
[3,1,5,6,7,2,4] => [1,3,5,7,4,6,2] => [7,2,5,3,6,4,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,5,6,7,4,2] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,1,5,7,2,4,6] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,5,7,2,6,4] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,1,5,7,4,2,6] => [1,3,5,4,7,6,2] => [7,2,4,3,6,5,1] => {{1,7},{2},{3,4},{5,6}} => 1
[3,1,5,7,4,6,2] => [1,3,5,4,7,2,6] => [6,2,4,3,7,5,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,1,5,7,6,2,4] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,5,7,6,4,2] => [1,3,5,6,4,7,2] => [7,2,5,3,4,6,1] => {{1,7},{2},{3,4,5},{6}} => 2
[3,1,6,2,4,5,7] => [1,3,6,5,4,2,7] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => 2
[3,1,6,2,4,7,5] => [1,3,6,7,5,4,2] => [7,2,6,5,3,4,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,6,2,5,4,7] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,6,2,5,7,4] => [1,3,6,7,4,2,5] => [6,2,5,7,3,4,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,1,6,2,7,4,5] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,6,2,7,5,4] => [1,3,6,5,7,4,2] => [7,2,6,4,3,5,1] => {{1,7},{2},{3,5,6},{4}} => 2
[3,1,6,4,2,5,7] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,1,6,4,2,7,5] => [1,3,6,7,5,2,4] => [6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,6,4,5,2,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,1,6,4,5,7,2] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,6,4,7,2,5] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,1,6,4,7,5,2] => [1,3,6,5,7,2,4] => [6,2,7,4,3,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,1,6,5,2,4,7] => [1,3,6,4,5,2,7] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,1,6,5,2,7,4] => [1,3,6,7,4,5,2] => [7,2,5,6,3,4,1] => {{1,7},{2},{3,5},{4,6}} => 1
[3,1,6,5,4,2,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,1,6,5,4,7,2] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,6,5,7,2,4] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,1,6,5,7,4,2] => [1,3,6,4,5,7,2] => [7,2,4,5,3,6,1] => {{1,7},{2},{3,4,5},{6}} => 2
[3,1,6,7,2,4,5] => [1,3,6,4,7,5,2] => [7,2,4,6,3,5,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,6,7,2,5,4] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,1,6,7,4,2,5] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,1,6,7,4,5,2] => [1,3,6,5,4,7,2] => [7,2,5,4,3,6,1] => {{1,7},{2},{3,5},{4},{6}} => 3
[3,1,6,7,5,2,4] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,1,6,7,5,4,2] => [1,3,6,4,7,2,5] => [6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,2,4,5,6] => [1,3,7,6,5,4,2] => [7,2,6,5,4,3,1] => {{1,7},{2},{3,6},{4,5}} => 1
[3,1,7,2,4,6,5] => [1,3,7,5,4,2,6] => [6,2,5,4,7,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,1,7,2,5,4,6] => [1,3,7,6,4,2,5] => [6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,2,5,6,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,1,7,2,6,4,5] => [1,3,7,5,6,4,2] => [7,2,6,4,5,3,1] => {{1,7},{2},{3,6},{4},{5}} => 3
[3,1,7,2,6,5,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,1,7,4,2,5,6] => [1,3,7,6,5,2,4] => [6,2,7,5,4,3,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,1,7,4,2,6,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,1,7,4,5,2,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,1,7,4,5,6,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,4,6,2,5] => [1,3,7,5,6,2,4] => [6,2,7,4,5,3,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,1,7,4,6,5,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,5,2,4,6] => [1,3,7,6,4,5,2] => [7,2,5,6,4,3,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,7,5,2,6,4] => [1,3,7,4,5,2,6] => [6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,5,4,2,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,1,7,5,4,6,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,5,6,2,4] => [1,3,7,4,5,6,2] => [7,2,4,5,6,3,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,1,7,5,6,4,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,1,7,6,2,4,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,1,7,6,2,5,4] => [1,3,7,4,6,5,2] => [7,2,4,6,5,3,1] => {{1,7},{2},{3,4,6},{5}} => 2
[3,1,7,6,4,2,5] => [1,3,7,5,4,6,2] => [7,2,5,4,6,3,1] => {{1,7},{2},{3,5,6},{4}} => 2
[3,1,7,6,4,5,2] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,1,7,6,5,2,4] => [1,3,7,4,6,2,5] => [6,2,4,7,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,1,7,6,5,4,2] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,2,1,4,5,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,4,5,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,4,6,5,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,4,6,7,5] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,4,7,5,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,1,4,7,6,5] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,1,5,4,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,5,4,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,5,6,4,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,5,6,7,4] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,5,7,4,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,1,5,7,6,4] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,1,6,4,5,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,1,6,4,7,5] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,2,1,6,5,4,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,1,6,5,7,4] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,2,1,6,7,4,5] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,1,6,7,5,4] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,1,7,4,5,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,2,1,7,4,6,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,7,5,4,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,2,1,7,5,6,4] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,7,6,4,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,1,7,6,5,4] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,4,1,5,6,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,1,5,7,6] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,1,6,5,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,1,6,7,5] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,1,7,5,6] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,2,4,1,7,6,5] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,2,4,5,1,6,7] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,2,4,5,1,7,6] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,2,4,5,6,1,7] => [1,3,4,5,6,2,7] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => 4
[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [7,2,3,4,5,6,1] => {{1,7},{2},{3},{4},{5},{6}} => 5
[3,2,4,5,7,1,6] => [1,3,4,5,7,6,2] => [7,2,3,4,6,5,1] => {{1,7},{2},{3},{4},{5,6}} => 3
[3,2,4,5,7,6,1] => [1,3,4,5,7,2,6] => [6,2,3,4,7,5,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,2,4,6,1,5,7] => [1,3,4,6,5,2,7] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => 2
[3,2,4,6,1,7,5] => [1,3,4,6,7,5,2] => [7,2,3,6,4,5,1] => {{1,7},{2},{3},{4,5,6}} => 2
[3,2,4,6,5,1,7] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,6,5,7,1] => [1,3,4,6,7,2,5] => [6,2,3,7,4,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,6,7,1,5] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,6,7,5,1] => [1,3,4,6,5,7,2] => [7,2,3,5,4,6,1] => {{1,7},{2},{3},{4,5},{6}} => 3
[3,2,4,7,1,5,6] => [1,3,4,7,6,5,2] => [7,2,3,6,5,4,1] => {{1,7},{2},{3},{4,6},{5}} => 3
[3,2,4,7,1,6,5] => [1,3,4,7,5,2,6] => [6,2,3,5,7,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,2,4,7,5,1,6] => [1,3,4,7,6,2,5] => [6,2,3,7,5,4,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,2,4,7,5,6,1] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,2,4,7,6,1,5] => [1,3,4,7,5,6,2] => [7,2,3,5,6,4,1] => {{1,7},{2},{3},{4,5,6}} => 2
[3,2,4,7,6,5,1] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,2,5,1,4,6,7] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,2,5,1,4,7,6] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,2,5,1,6,4,7] => [1,3,5,6,4,2,7] => [6,2,5,3,4,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,2,5,1,6,7,4] => [1,3,5,6,7,4,2] => [7,2,6,3,4,5,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,5,1,7,4,6] => [1,3,5,7,6,4,2] => [7,2,6,3,5,4,1] => {{1,7},{2},{3,4,6},{5}} => 2
[3,2,5,1,7,6,4] => [1,3,5,7,4,2,6] => [6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,4,1,6,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,4,1,7,6] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,4,6,1,7] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,4,6,7,1] => [1,3,5,6,7,2,4] => [6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,4,7,1,6] => [1,3,5,7,6,2,4] => [6,2,7,3,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,5,4,7,6,1] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,2,5,6,1,4,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,6,1,7,4] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,6,4,1,7] => [1,3,5,4,6,2,7] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => 2
[3,2,5,6,4,7,1] => [1,3,5,4,6,7,2] => [7,2,4,3,5,6,1] => {{1,7},{2},{3,4},{5},{6}} => 3
[3,2,5,6,7,1,4] => [1,3,5,7,4,6,2] => [7,2,5,3,6,4,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,5,6,7,4,1] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,2,5,7,1,4,6] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,5,7,1,6,4] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,2,5,7,4,1,6] => [1,3,5,4,7,6,2] => [7,2,4,3,6,5,1] => {{1,7},{2},{3,4},{5,6}} => 1
[3,2,5,7,4,6,1] => [1,3,5,4,7,2,6] => [6,2,4,3,7,5,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,2,5,7,6,1,4] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,5,7,6,4,1] => [1,3,5,6,4,7,2] => [7,2,5,3,4,6,1] => {{1,7},{2},{3,4,5},{6}} => 2
[3,2,6,1,4,5,7] => [1,3,6,5,4,2,7] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => 2
[3,2,6,1,4,7,5] => [1,3,6,7,5,4,2] => [7,2,6,5,3,4,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,6,1,5,4,7] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,6,1,5,7,4] => [1,3,6,7,4,2,5] => [6,2,5,7,3,4,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,2,6,1,7,4,5] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,6,1,7,5,4] => [1,3,6,5,7,4,2] => [7,2,6,4,3,5,1] => {{1,7},{2},{3,5,6},{4}} => 2
[3,2,6,4,1,5,7] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,2,6,4,1,7,5] => [1,3,6,7,5,2,4] => [6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,6,4,5,1,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,2,6,4,5,7,1] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,6,4,7,1,5] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,2,6,4,7,5,1] => [1,3,6,5,7,2,4] => [6,2,7,4,3,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,2,6,5,1,4,7] => [1,3,6,4,5,2,7] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,2,6,5,1,7,4] => [1,3,6,7,4,5,2] => [7,2,5,6,3,4,1] => {{1,7},{2},{3,5},{4,6}} => 1
[3,2,6,5,4,1,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,2,6,5,4,7,1] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,6,5,7,1,4] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,2,6,5,7,4,1] => [1,3,6,4,5,7,2] => [7,2,4,5,3,6,1] => {{1,7},{2},{3,4,5},{6}} => 2
[3,2,6,7,1,4,5] => [1,3,6,4,7,5,2] => [7,2,4,6,3,5,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,6,7,1,5,4] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,2,6,7,4,1,5] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,2,6,7,4,5,1] => [1,3,6,5,4,7,2] => [7,2,5,4,3,6,1] => {{1,7},{2},{3,5},{4},{6}} => 3
[3,2,6,7,5,1,4] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,2,6,7,5,4,1] => [1,3,6,4,7,2,5] => [6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,1,4,5,6] => [1,3,7,6,5,4,2] => [7,2,6,5,4,3,1] => {{1,7},{2},{3,6},{4,5}} => 1
[3,2,7,1,4,6,5] => [1,3,7,5,4,2,6] => [6,2,5,4,7,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,2,7,1,5,4,6] => [1,3,7,6,4,2,5] => [6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,1,5,6,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,2,7,1,6,4,5] => [1,3,7,5,6,4,2] => [7,2,6,4,5,3,1] => {{1,7},{2},{3,6},{4},{5}} => 3
[3,2,7,1,6,5,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,2,7,4,1,5,6] => [1,3,7,6,5,2,4] => [6,2,7,5,4,3,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,2,7,4,1,6,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,2,7,4,5,1,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,2,7,4,5,6,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,4,6,1,5] => [1,3,7,5,6,2,4] => [6,2,7,4,5,3,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,2,7,4,6,5,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,5,1,4,6] => [1,3,7,6,4,5,2] => [7,2,5,6,4,3,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,7,5,1,6,4] => [1,3,7,4,5,2,6] => [6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,5,4,1,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,2,7,5,4,6,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,5,6,1,4] => [1,3,7,4,5,6,2] => [7,2,4,5,6,3,1] => {{1,7},{2},{3,4,5,6}} => 1
[3,2,7,5,6,4,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,2,7,6,1,4,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,2,7,6,1,5,4] => [1,3,7,4,6,5,2] => [7,2,4,6,5,3,1] => {{1,7},{2},{3,4,6},{5}} => 2
[3,2,7,6,4,1,5] => [1,3,7,5,4,6,2] => [7,2,5,4,6,3,1] => {{1,7},{2},{3,5,6},{4}} => 2
[3,2,7,6,4,5,1] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,2,7,6,5,1,4] => [1,3,7,4,6,2,5] => [6,2,4,7,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,2,7,6,5,4,1] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,4,1,2,5,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,2,5,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,2,6,5,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,2,6,7,5] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,2,7,5,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,1,2,7,6,5] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,1,5,2,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,5,2,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,5,6,2,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,5,6,7,2] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,5,7,2,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,1,5,7,6,2] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,1,6,2,5,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,1,6,2,7,5] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,4,1,6,5,2,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,1,6,5,7,2] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,4,1,6,7,2,5] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,1,6,7,5,2] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,1,7,2,5,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,4,1,7,2,6,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,7,5,2,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,4,1,7,5,6,2] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,7,6,2,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,1,7,6,5,2] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,1,5,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,1,5,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,1,6,5,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,1,6,7,5] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,1,7,5,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,2,1,7,6,5] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,2,5,1,6,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,5,1,7,6] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,5,6,1,7] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,5,6,7,1] => [1,3,2,4,5,6,7] => [3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,5,7,1,6] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,2,5,7,6,1] => [1,3,2,4,5,7,6] => [3,2,4,5,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,2,6,1,5,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,2,6,1,7,5] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,4,2,6,5,1,7] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,2,6,5,7,1] => [1,3,2,4,6,7,5] => [3,2,4,7,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,4,2,6,7,1,5] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,2,6,7,5,1] => [1,3,2,4,6,5,7] => [3,2,4,6,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,2,7,1,5,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,4,2,7,1,6,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,7,5,1,6] => [1,3,2,4,7,6,5] => [3,2,4,7,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,4,2,7,5,6,1] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,7,6,1,5] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,2,7,6,5,1] => [1,3,2,4,7,5,6] => [3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,1,2,6,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,1,2,7,6] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,1,6,2,7] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,1,6,7,2] => [1,3,5,6,7,2,4] => [6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,1,7,2,6] => [1,3,5,7,6,2,4] => [6,2,7,3,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,5,1,7,6,2] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,4,5,2,1,6,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,2,1,7,6] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,2,6,1,7] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,2,6,7,1] => [1,3,5,6,7,2,4] => [6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,2,7,1,6] => [1,3,5,7,6,2,4] => [6,2,7,3,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,4,5,2,7,6,1] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,4,5,6,1,2,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,6,1,7,2] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,6,2,1,7] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,6,2,7,1] => [1,3,5,2,4,6,7] => [4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,6,7,1,2] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,4,5,6,7,2,1] => [1,3,5,7,2,4,6] => [5,2,6,3,7,4,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,4,5,7,1,2,6] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,5,7,1,6,2] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,5,7,2,1,6] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,5,7,2,6,1] => [1,3,5,2,4,7,6] => [4,2,5,3,7,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,4,5,7,6,1,2] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,5,7,6,2,1] => [1,3,5,6,2,4,7] => [5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,1,2,5,7] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,1,2,7,5] => [1,3,6,7,5,2,4] => [6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,1,5,2,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,1,5,7,2] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,1,7,2,5] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,1,7,5,2] => [1,3,6,5,7,2,4] => [6,2,7,4,3,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,2,1,5,7] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,2,1,7,5] => [1,3,6,7,5,2,4] => [6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,2,5,1,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,2,5,7,1] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,2,7,1,5] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,2,7,5,1] => [1,3,6,5,7,2,4] => [6,2,7,4,3,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,5,1,2,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,5,1,7,2] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,5,2,1,7] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,5,2,7,1] => [1,3,6,7,2,4,5] => [5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,6,5,7,1,2] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,5,7,2,1] => [1,3,6,2,4,5,7] => [4,2,5,6,3,7,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,4,6,7,1,2,5] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,4,6,7,1,5,2] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,7,2,1,5] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,4,6,7,2,5,1] => [1,3,6,5,2,4,7] => [5,2,6,4,3,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,4,6,7,5,1,2] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,4,6,7,5,2,1] => [1,3,6,2,4,7,5] => [4,2,5,7,3,6,1] => {{1,4,7},{2},{3,5},{6}} => 2
[3,4,7,1,2,5,6] => [1,3,7,6,5,2,4] => [6,2,7,5,4,3,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,4,7,1,2,6,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,4,7,1,5,2,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,4,7,1,5,6,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,1,6,2,5] => [1,3,7,5,6,2,4] => [6,2,7,4,5,3,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,4,7,1,6,5,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,2,1,5,6] => [1,3,7,6,5,2,4] => [6,2,7,5,4,3,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,4,7,2,1,6,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,4,7,2,5,1,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,4,7,2,5,6,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,2,6,1,5] => [1,3,7,5,6,2,4] => [6,2,7,4,5,3,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,4,7,2,6,5,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,5,1,2,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,4,7,5,1,6,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,5,2,1,6] => [1,3,7,6,2,4,5] => [5,2,6,7,4,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,4,7,5,2,6,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,5,6,1,2] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,5,6,2,1] => [1,3,7,2,4,5,6] => [4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,4,7,6,1,2,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,4,7,6,1,5,2] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,4,7,6,2,1,5] => [1,3,7,5,2,4,6] => [5,2,6,4,7,3,1] => {{1,5,7},{2},{3,6},{4}} => 2
[3,4,7,6,2,5,1] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,4,7,6,5,1,2] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,4,7,6,5,2,1] => [1,3,7,2,4,6,5] => [4,2,5,7,6,3,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,5,1,2,4,6,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,2,4,7,6] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,2,6,4,7] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,1,2,6,7,4] => [1,3,2,5,6,7,4] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => 4
[3,5,1,2,7,4,6] => [1,3,2,5,7,6,4] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => 2
[3,5,1,2,7,6,4] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,4,2,6,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,4,2,7,6] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,4,6,2,7] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,1,4,6,7,2] => [1,3,2,5,6,7,4] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => 4
[3,5,1,4,7,2,6] => [1,3,2,5,7,6,4] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => 2
[3,5,1,4,7,6,2] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,2,4,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,2,7,4] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,4,2,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,4,7,2] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,7,2,4] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,6,7,4,2] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,1,7,2,4,6] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,1,7,2,6,4] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,1,7,4,2,6] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,1,7,4,6,2] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,1,7,6,2,4] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,1,7,6,4,2] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,2,1,4,6,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,1,4,7,6] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,1,6,4,7] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,2,1,6,7,4] => [1,3,2,5,6,7,4] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => 4
[3,5,2,1,7,4,6] => [1,3,2,5,7,6,4] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => 2
[3,5,2,1,7,6,4] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,4,1,6,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,4,1,7,6] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,4,6,1,7] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,2,4,6,7,1] => [1,3,2,5,6,7,4] => [3,2,7,4,5,6,1] => {{1,3,7},{2},{4},{5},{6}} => 4
[3,5,2,4,7,1,6] => [1,3,2,5,7,6,4] => [3,2,7,4,6,5,1] => {{1,3,7},{2},{4},{5,6}} => 2
[3,5,2,4,7,6,1] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,1,4,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,1,7,4] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,4,1,7] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,4,7,1] => [1,3,2,5,4,6,7] => [3,2,5,4,6,7,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,7,1,4] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,6,7,4,1] => [1,3,2,5,7,4,6] => [3,2,6,4,7,5,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,5,2,7,1,4,6] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,2,7,1,6,4] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,2,7,4,1,6] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,2,7,4,6,1] => [1,3,2,5,4,7,6] => [3,2,5,4,7,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,5,2,7,6,1,4] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,2,7,6,4,1] => [1,3,2,5,6,4,7] => [3,2,6,4,5,7,1] => {{1,3,6,7},{2},{4},{5}} => 3
[3,5,4,1,2,6,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,1,2,7,6] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,1,6,2,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,1,6,7,2] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,1,7,2,6] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,5,4,1,7,6,2] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,5,4,2,1,6,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,2,1,7,6] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,2,6,1,7] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,2,6,7,1] => [1,3,4,2,5,6,7] => [4,2,3,5,6,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,2,7,1,6] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,5,4,2,7,6,1] => [1,3,4,2,5,7,6] => [4,2,3,5,7,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,5,4,6,1,2,7] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,6,1,7,2] => [1,3,4,6,7,2,5] => [6,2,3,7,4,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,6,2,1,7] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,6,2,7,1] => [1,3,4,6,7,2,5] => [6,2,3,7,4,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,6,7,1,2] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,6,7,2,1] => [1,3,4,6,2,5,7] => [5,2,3,6,4,7,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,5,4,7,1,2,6] => [1,3,4,7,6,2,5] => [6,2,3,7,5,4,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,5,4,7,1,6,2] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,5,4,7,2,1,6] => [1,3,4,7,6,2,5] => [6,2,3,7,5,4,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,5,4,7,2,6,1] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,5,4,7,6,1,2] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,5,4,7,6,2,1] => [1,3,4,7,2,5,6] => [5,2,3,6,7,4,1] => {{1,5,7},{2},{3},{4,6}} => 2
[3,5,6,1,2,4,7] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,1,2,7,4] => [1,3,6,7,4,2,5] => [6,2,5,7,3,4,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,5,6,1,4,2,7] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,1,4,7,2] => [1,3,6,7,2,5,4] => [5,2,7,6,3,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,5,6,1,7,2,4] => [1,3,6,2,5,7,4] => [4,2,7,5,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,5,6,1,7,4,2] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,2,1,4,7] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,2,1,7,4] => [1,3,6,7,4,2,5] => [6,2,5,7,3,4,1] => {{1,4,6,7},{2},{3,5}} => 1
[3,5,6,2,4,1,7] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,2,4,7,1] => [1,3,6,7,2,5,4] => [5,2,7,6,3,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,5,6,2,7,1,4] => [1,3,6,2,5,7,4] => [4,2,7,5,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,5,6,2,7,4,1] => [1,3,6,4,2,5,7] => [5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,4,1,2,7] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,4,1,7,2] => [1,3,6,7,2,5,4] => [5,2,7,6,3,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,5,6,4,2,1,7] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,4,2,7,1] => [1,3,6,7,2,5,4] => [5,2,7,6,3,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,5,6,4,7,1,2] => [1,3,6,2,5,7,4] => [4,2,7,5,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,5,6,4,7,2,1] => [1,3,6,2,5,7,4] => [4,2,7,5,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,5,6,7,1,2,4] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,7,1,4,2] => [1,3,6,4,7,2,5] => [6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,7,2,1,4] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,7,2,4,1] => [1,3,6,4,7,2,5] => [6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,7,4,1,2] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,6,7,4,2,1] => [1,3,6,2,5,4,7] => [4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,1,2,4,6] => [1,3,7,6,4,2,5] => [6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,1,2,6,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,5,7,1,4,2,6] => [1,3,7,6,2,5,4] => [5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,1,4,6,2] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,1,6,2,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,5,7,1,6,4,2] => [1,3,7,2,5,6,4] => [4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,2,1,4,6] => [1,3,7,6,4,2,5] => [6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,2,1,6,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,5,7,2,4,1,6] => [1,3,7,6,2,5,4] => [5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,2,4,6,1] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,2,6,1,4] => [1,3,7,4,2,5,6] => [5,2,4,6,7,3,1] => {{1,5,7},{2},{3,4,6}} => 1
[3,5,7,2,6,4,1] => [1,3,7,2,5,6,4] => [4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,4,1,2,6] => [1,3,7,6,2,5,4] => [5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,4,1,6,2] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,4,2,1,6] => [1,3,7,6,2,5,4] => [5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,4,2,6,1] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,4,6,1,2] => [1,3,7,2,5,6,4] => [4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,4,6,2,1] => [1,3,7,2,5,6,4] => [4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,5,7,6,1,2,4] => [1,3,7,4,6,2,5] => [6,2,4,7,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,5,7,6,1,4,2] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,6,2,1,4] => [1,3,7,4,6,2,5] => [6,2,4,7,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,5,7,6,2,4,1] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,6,4,1,2] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,5,7,6,4,2,1] => [1,3,7,2,5,4,6] => [4,2,6,5,7,3,1] => {{1,4,5,7},{2},{3,6}} => 1
[3,6,1,2,4,5,7] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,1,2,4,7,5] => [1,3,2,6,7,5,4] => [3,2,7,6,4,5,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,6,1,2,5,4,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,2,5,7,4] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,2,7,4,5] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,2,7,5,4] => [1,3,2,6,5,7,4] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => 2
[3,6,1,4,2,5,7] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,1,4,2,7,5] => [1,3,2,6,7,5,4] => [3,2,7,6,4,5,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,6,1,4,5,2,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,4,5,7,2] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,4,7,2,5] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,4,7,5,2] => [1,3,2,6,5,7,4] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => 2
[3,6,1,5,2,4,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,5,2,7,4] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,5,4,2,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,5,4,7,2] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,5,7,2,4] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,5,7,4,2] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,1,7,2,4,5] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,1,7,2,5,4] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,1,7,4,2,5] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,1,7,4,5,2] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,1,7,5,2,4] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,1,7,5,4,2] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,2,1,4,5,7] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,2,1,4,7,5] => [1,3,2,6,7,5,4] => [3,2,7,6,4,5,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,6,2,1,5,4,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,1,5,7,4] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,1,7,4,5] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,1,7,5,4] => [1,3,2,6,5,7,4] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => 2
[3,6,2,4,1,5,7] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,2,4,1,7,5] => [1,3,2,6,7,5,4] => [3,2,7,6,4,5,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,6,2,4,5,1,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,4,5,7,1] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,4,7,1,5] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,4,7,5,1] => [1,3,2,6,5,7,4] => [3,2,7,5,4,6,1] => {{1,3,7},{2},{4,5},{6}} => 2
[3,6,2,5,1,4,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,5,1,7,4] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,5,4,1,7] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,5,4,7,1] => [1,3,2,6,7,4,5] => [3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,5,7,1,4] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,5,7,4,1] => [1,3,2,6,4,5,7] => [3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,2,7,1,4,5] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,2,7,1,5,4] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,2,7,4,1,5] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,2,7,4,5,1] => [1,3,2,6,5,4,7] => [3,2,6,5,4,7,1] => {{1,3,6,7},{2},{4,5}} => 1
[3,6,2,7,5,1,4] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,2,7,5,4,1] => [1,3,2,6,4,7,5] => [3,2,5,7,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,6,4,1,2,5,7] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,1,2,7,5] => [1,3,4,2,6,7,5] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => 4
[3,6,4,1,5,2,7] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,1,5,7,2] => [1,3,4,2,6,7,5] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => 4
[3,6,4,1,7,2,5] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,1,7,5,2] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,2,1,5,7] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,2,1,7,5] => [1,3,4,2,6,7,5] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => 4
[3,6,4,2,5,1,7] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,2,5,7,1] => [1,3,4,2,6,7,5] => [4,2,3,7,5,6,1] => {{1,4,7},{2},{3},{5},{6}} => 4
[3,6,4,2,7,1,5] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,2,7,5,1] => [1,3,4,2,6,5,7] => [4,2,3,6,5,7,1] => {{1,4,6,7},{2},{3},{5}} => 3
[3,6,4,5,1,2,7] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,5,1,7,2] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,5,2,1,7] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,5,2,7,1] => [1,3,4,5,2,6,7] => [5,2,3,4,6,7,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,5,7,1,2] => [1,3,4,5,7,2,6] => [6,2,3,4,7,5,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,5,7,2,1] => [1,3,4,5,7,2,6] => [6,2,3,4,7,5,1] => {{1,5,6,7},{2},{3},{4}} => 3
[3,6,4,7,1,2,5] => [1,3,4,7,5,2,6] => [6,2,3,5,7,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,4,7,1,5,2] => [1,3,4,7,2,6,5] => [5,2,3,7,6,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,4,7,2,1,5] => [1,3,4,7,5,2,6] => [6,2,3,5,7,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,4,7,2,5,1] => [1,3,4,7,2,6,5] => [5,2,3,7,6,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,4,7,5,1,2] => [1,3,4,7,2,6,5] => [5,2,3,7,6,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,4,7,5,2,1] => [1,3,4,7,2,6,5] => [5,2,3,7,6,4,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,6,5,1,2,4,7] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,1,2,7,4] => [1,3,5,2,6,7,4] => [4,2,7,3,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,6,5,1,4,2,7] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,5,1,4,7,2] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,5,1,7,2,4] => [1,3,5,7,4,2,6] => [6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,1,7,4,2] => [1,3,5,7,2,6,4] => [5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,2,1,4,7] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,2,1,7,4] => [1,3,5,2,6,7,4] => [4,2,7,3,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,6,5,2,4,1,7] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,5,2,4,7,1] => [1,3,5,4,2,6,7] => [5,2,4,3,6,7,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,5,2,7,1,4] => [1,3,5,7,4,2,6] => [6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,2,7,4,1] => [1,3,5,7,2,6,4] => [5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,4,1,2,7] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,4,1,7,2] => [1,3,5,2,6,7,4] => [4,2,7,3,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,6,5,4,2,1,7] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,4,2,7,1] => [1,3,5,2,6,7,4] => [4,2,7,3,5,6,1] => {{1,3,4,7},{2},{5},{6}} => 3
[3,6,5,4,7,1,2] => [1,3,5,7,2,6,4] => [5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,4,7,2,1] => [1,3,5,7,2,6,4] => [5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,5,7,1,2,4] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,7,1,4,2] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,7,2,1,4] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,7,2,4,1] => [1,3,5,2,6,4,7] => [4,2,6,3,5,7,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,5,7,4,1,2] => [1,3,5,4,7,2,6] => [6,2,4,3,7,5,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,5,7,4,2,1] => [1,3,5,4,7,2,6] => [6,2,4,3,7,5,1] => {{1,5,6,7},{2},{3,4}} => 1
[3,6,7,1,2,4,5] => [1,3,7,5,2,6,4] => [5,2,7,4,6,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,1,2,5,4] => [1,3,7,4,2,6,5] => [5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,1,4,2,5] => [1,3,7,5,4,2,6] => [6,2,5,4,7,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,1,4,5,2] => [1,3,7,2,6,5,4] => [4,2,7,6,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,7,1,5,2,4] => [1,3,7,4,2,6,5] => [5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,1,5,4,2] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,2,1,4,5] => [1,3,7,5,2,6,4] => [5,2,7,4,6,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,2,1,5,4] => [1,3,7,4,2,6,5] => [5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,2,4,1,5] => [1,3,7,5,4,2,6] => [6,2,5,4,7,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,2,4,5,1] => [1,3,7,2,6,5,4] => [4,2,7,6,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,7,2,5,1,4] => [1,3,7,4,2,6,5] => [5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,2,5,4,1] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,4,1,2,5] => [1,3,7,5,2,6,4] => [5,2,7,4,6,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,4,1,5,2] => [1,3,7,2,6,5,4] => [4,2,7,6,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,7,4,2,1,5] => [1,3,7,5,2,6,4] => [5,2,7,4,6,3,1] => {{1,3,5,6,7},{2},{4}} => 2
[3,6,7,4,2,5,1] => [1,3,7,2,6,5,4] => [4,2,7,6,5,3,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,6,7,4,5,1,2] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,4,5,2,1] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,5,1,2,4] => [1,3,7,4,5,2,6] => [6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,5,1,4,2] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,5,2,1,4] => [1,3,7,4,5,2,6] => [6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => 1
[3,6,7,5,2,4,1] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,5,4,1,2] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,6,7,5,4,2,1] => [1,3,7,2,6,4,5] => [4,2,6,7,5,3,1] => {{1,4,7},{2},{3,6},{5}} => 2
[3,7,1,2,4,5,6] => [1,3,2,7,6,5,4] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => 2
[3,7,1,2,4,6,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,2,5,4,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,1,2,5,6,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,2,6,4,5] => [1,3,2,7,5,6,4] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,7,1,2,6,5,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,4,2,5,6] => [1,3,2,7,6,5,4] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => 2
[3,7,1,4,2,6,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,4,5,2,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,1,4,5,6,2] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,4,6,2,5] => [1,3,2,7,5,6,4] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,7,1,4,6,5,2] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,5,2,4,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,1,5,2,6,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,5,4,2,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,1,5,4,6,2] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,5,6,2,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,5,6,4,2] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,1,6,2,4,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,6,2,5,4] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,6,4,2,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,6,4,5,2] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,6,5,2,4] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,1,6,5,4,2] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,1,4,5,6] => [1,3,2,7,6,5,4] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => 2
[3,7,2,1,4,6,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,1,5,4,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,2,1,5,6,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,1,6,4,5] => [1,3,2,7,5,6,4] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,7,2,1,6,5,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,4,1,5,6] => [1,3,2,7,6,5,4] => [3,2,7,6,5,4,1] => {{1,3,7},{2},{4,6},{5}} => 2
[3,7,2,4,1,6,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,4,5,1,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,2,4,5,6,1] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,4,6,1,5] => [1,3,2,7,5,6,4] => [3,2,7,5,6,4,1] => {{1,3,7},{2},{4,5,6}} => 1
[3,7,2,4,6,5,1] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,5,1,4,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,2,5,1,6,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,5,4,1,6] => [1,3,2,7,6,4,5] => [3,2,6,7,5,4,1] => {{1,3,4,6,7},{2},{5}} => 2
[3,7,2,5,4,6,1] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,5,6,1,4] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,5,6,4,1] => [1,3,2,7,4,5,6] => [3,2,5,6,7,4,1] => {{1,3,5,7},{2},{4,6}} => 1
[3,7,2,6,1,4,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,6,1,5,4] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,6,4,1,5] => [1,3,2,7,5,4,6] => [3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,6,4,5,1] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,6,5,1,4] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,2,6,5,4,1] => [1,3,2,7,4,6,5] => [3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,4,1,2,5,6] => [1,3,4,2,7,6,5] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => 2
[3,7,4,1,2,6,5] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,1,5,2,6] => [1,3,4,2,7,6,5] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => 2
[3,7,4,1,5,6,2] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,1,6,2,5] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,1,6,5,2] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,2,1,5,6] => [1,3,4,2,7,6,5] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => 2
[3,7,4,2,1,6,5] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,2,5,1,6] => [1,3,4,2,7,6,5] => [4,2,3,7,6,5,1] => {{1,4,7},{2},{3},{5,6}} => 2
[3,7,4,2,5,6,1] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,2,6,1,5] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,2,6,5,1] => [1,3,4,2,7,5,6] => [4,2,3,6,7,5,1] => {{1,4,5,6,7},{2},{3}} => 2
[3,7,4,5,1,2,6] => [1,3,4,5,2,7,6] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => 4
[3,7,4,5,1,6,2] => [1,3,4,5,2,7,6] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => 4
[3,7,4,5,2,1,6] => [1,3,4,5,2,7,6] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => 4
[3,7,4,5,2,6,1] => [1,3,4,5,2,7,6] => [5,2,3,4,7,6,1] => {{1,5,7},{2},{3},{4},{6}} => 4
[3,7,4,5,6,1,2] => [1,3,4,5,6,2,7] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => 4
[3,7,4,5,6,2,1] => [1,3,4,5,6,2,7] => [6,2,3,4,5,7,1] => {{1,6,7},{2},{3},{4},{5}} => 4
[3,7,4,6,1,2,5] => [1,3,4,6,2,7,5] => [5,2,3,7,4,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,7,4,6,1,5,2] => [1,3,4,6,5,2,7] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => 2
[3,7,4,6,2,1,5] => [1,3,4,6,2,7,5] => [5,2,3,7,4,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,7,4,6,2,5,1] => [1,3,4,6,5,2,7] => [6,2,3,5,4,7,1] => {{1,6,7},{2},{3},{4,5}} => 2
[3,7,4,6,5,1,2] => [1,3,4,6,2,7,5] => [5,2,3,7,4,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,7,4,6,5,2,1] => [1,3,4,6,2,7,5] => [5,2,3,7,4,6,1] => {{1,4,5,7},{2},{3},{6}} => 3
[3,7,5,1,2,4,6] => [1,3,5,2,7,6,4] => [4,2,7,3,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,7,5,1,2,6,4] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,1,4,2,6] => [1,3,5,4,2,7,6] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => 2
[3,7,5,1,4,6,2] => [1,3,5,4,2,7,6] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => 2
[3,7,5,1,6,2,4] => [1,3,5,6,2,7,4] => [5,2,7,3,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,5,1,6,4,2] => [1,3,5,6,4,2,7] => [6,2,5,3,4,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,7,5,2,1,4,6] => [1,3,5,2,7,6,4] => [4,2,7,3,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,7,5,2,1,6,4] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,2,4,1,6] => [1,3,5,4,2,7,6] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => 2
[3,7,5,2,4,6,1] => [1,3,5,4,2,7,6] => [5,2,4,3,7,6,1] => {{1,5,7},{2},{3,4},{6}} => 2
[3,7,5,2,6,1,4] => [1,3,5,6,2,7,4] => [5,2,7,3,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,5,2,6,4,1] => [1,3,5,6,4,2,7] => [6,2,5,3,4,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,7,5,4,1,2,6] => [1,3,5,2,7,6,4] => [4,2,7,3,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,7,5,4,1,6,2] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,4,2,1,6] => [1,3,5,2,7,6,4] => [4,2,7,3,6,5,1] => {{1,3,4,7},{2},{5,6}} => 1
[3,7,5,4,2,6,1] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,4,6,1,2] => [1,3,5,6,2,7,4] => [5,2,7,3,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,5,4,6,2,1] => [1,3,5,6,2,7,4] => [5,2,7,3,4,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,5,6,1,2,4] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,6,1,4,2] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,6,2,1,4] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,6,2,4,1] => [1,3,5,2,7,4,6] => [4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,5,6,4,1,2] => [1,3,5,4,6,2,7] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => 2
[3,7,5,6,4,2,1] => [1,3,5,4,6,2,7] => [6,2,4,3,5,7,1] => {{1,6,7},{2},{3,4},{5}} => 2
[3,7,6,1,2,4,5] => [1,3,6,4,2,7,5] => [5,2,4,7,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,6,1,2,5,4] => [1,3,6,5,2,7,4] => [5,2,7,4,3,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,7,6,1,4,2,5] => [1,3,6,2,7,5,4] => [4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,6,1,4,5,2] => [1,3,6,5,4,2,7] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => 2
[3,7,6,1,5,2,4] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,1,5,4,2] => [1,3,6,4,2,7,5] => [5,2,4,7,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,6,2,1,4,5] => [1,3,6,4,2,7,5] => [5,2,4,7,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,6,2,1,5,4] => [1,3,6,5,2,7,4] => [5,2,7,4,3,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,7,6,2,4,1,5] => [1,3,6,2,7,5,4] => [4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,6,2,4,5,1] => [1,3,6,5,4,2,7] => [6,2,5,4,3,7,1] => {{1,6,7},{2},{3,5},{4}} => 2
[3,7,6,2,5,1,4] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,2,5,4,1] => [1,3,6,4,2,7,5] => [5,2,4,7,3,6,1] => {{1,3,4,5,7},{2},{6}} => 2
[3,7,6,4,1,2,5] => [1,3,6,2,7,5,4] => [4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,6,4,1,5,2] => [1,3,6,5,2,7,4] => [5,2,7,4,3,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,7,6,4,2,1,5] => [1,3,6,2,7,5,4] => [4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => 1
[3,7,6,4,2,5,1] => [1,3,6,5,2,7,4] => [5,2,7,4,3,6,1] => {{1,3,5,7},{2},{4},{6}} => 3
[3,7,6,4,5,1,2] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,4,5,2,1] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,5,1,2,4] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,5,1,4,2] => [1,3,6,4,5,2,7] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,7,6,5,2,1,4] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,5,2,4,1] => [1,3,6,4,5,2,7] => [6,2,4,5,3,7,1] => {{1,6,7},{2},{3,4,5}} => 1
[3,7,6,5,4,1,2] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[3,7,6,5,4,2,1] => [1,3,6,2,7,4,5] => [4,2,6,7,3,5,1] => {{1,4,7},{2},{3,5,6}} => 1
[4,1,2,3,5,6,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,2,3,5,7,6] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,2,3,6,5,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,2,3,6,7,5] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,2,3,7,5,6] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,1,2,3,7,6,5] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,1,2,5,3,6,7] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,1,2,5,3,7,6] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,1,2,5,6,3,7] => [1,4,5,6,3,2,7] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,1,2,5,6,7,3] => [1,4,5,6,7,3,2] => [7,6,2,3,4,5,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,2,5,7,3,6] => [1,4,5,7,6,3,2] => [7,6,2,3,5,4,1] => {{1,7},{2,3,4,6},{5}} => 1
[4,1,2,5,7,6,3] => [1,4,5,7,3,2,6] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,2,6,3,5,7] => [1,4,6,5,3,2,7] => [6,5,2,4,3,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[4,1,2,6,3,7,5] => [1,4,6,7,5,3,2] => [7,6,2,5,3,4,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,2,6,5,3,7] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,2,6,5,7,3] => [1,4,6,7,3,2,5] => [6,5,2,7,3,4,1] => {{1,4,6,7},{2,3,5}} => 0
[4,1,2,6,7,3,5] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,2,6,7,5,3] => [1,4,6,5,7,3,2] => [7,6,2,4,3,5,1] => {{1,7},{2,3,5,6},{4}} => 1
[4,1,2,7,3,5,6] => [1,4,7,6,5,3,2] => [7,6,2,5,4,3,1] => {{1,7},{2,3,6},{4,5}} => 0
[4,1,2,7,3,6,5] => [1,4,7,5,3,2,6] => [6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,1,2,7,5,3,6] => [1,4,7,6,3,2,5] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,2,7,5,6,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,1,2,7,6,3,5] => [1,4,7,5,6,3,2] => [7,6,2,4,5,3,1] => {{1,7},{2,3,6},{4},{5}} => 2
[4,1,2,7,6,5,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,1,3,2,5,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,2,5,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,2,6,5,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,2,6,7,5] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,2,7,5,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,3,2,7,6,5] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,3,5,2,6,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,5,2,7,6] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,5,6,2,7] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,5,6,7,2] => [1,4,5,6,7,2,3] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,5,7,2,6] => [1,4,5,7,6,2,3] => [6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,3,5,7,6,2] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,1,3,6,2,5,7] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,1,3,6,2,7,5] => [1,4,6,7,5,2,3] => [6,7,2,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,6,5,2,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,1,3,6,5,7,2] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,6,7,2,5] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,1,3,6,7,5,2] => [1,4,6,5,7,2,3] => [6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,1,3,7,2,5,6] => [1,4,7,6,5,2,3] => [6,7,2,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[4,1,3,7,2,6,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,1,3,7,5,2,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,1,3,7,5,6,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,3,7,6,2,5] => [1,4,7,5,6,2,3] => [6,7,2,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,1,3,7,6,5,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,2,3,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,2,3,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,2,6,3,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,2,6,7,3] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,2,7,3,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,5,2,7,6,3] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,5,3,2,6,7] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,1,5,3,2,7,6] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,1,5,3,6,2,7] => [1,4,3,5,6,2,7] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => 2
[4,1,5,3,6,7,2] => [1,4,3,5,6,7,2] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}} => 3
[4,1,5,3,7,2,6] => [1,4,3,5,7,6,2] => [7,3,2,4,6,5,1] => {{1,7},{2,3},{4},{5,6}} => 1
[4,1,5,3,7,6,2] => [1,4,3,5,7,2,6] => [6,3,2,4,7,5,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,1,5,6,2,3,7] => [1,4,6,3,5,2,7] => [6,4,2,5,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,1,5,6,2,7,3] => [1,4,6,7,3,5,2] => [7,5,2,6,3,4,1] => {{1,7},{2,3,5},{4,6}} => 0
[4,1,5,6,3,2,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,1,5,6,3,7,2] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,6,7,2,3] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,1,5,6,7,3,2] => [1,4,6,3,5,7,2] => [7,4,2,5,3,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[4,1,5,7,2,3,6] => [1,4,7,6,3,5,2] => [7,5,2,6,4,3,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,5,7,2,6,3] => [1,4,7,3,5,2,6] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,7,3,2,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,1,5,7,3,6,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,5,7,6,2,3] => [1,4,7,3,5,6,2] => [7,4,2,5,6,3,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,5,7,6,3,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,6,2,3,5,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,6,2,3,7,5] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,1,6,2,5,3,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,6,2,5,7,3] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,1,6,2,7,3,5] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,6,2,7,5,3] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,6,3,2,5,7] => [1,4,3,6,5,2,7] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0
[4,1,6,3,2,7,5] => [1,4,3,6,7,5,2] => [7,3,2,6,4,5,1] => {{1,7},{2,3},{4,5,6}} => 0
[4,1,6,3,5,2,7] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,6,3,5,7,2] => [1,4,3,6,7,2,5] => [6,3,2,7,4,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,6,3,7,2,5] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,6,3,7,5,2] => [1,4,3,6,5,7,2] => [7,3,2,5,4,6,1] => {{1,7},{2,3},{4,5},{6}} => 1
[4,1,6,5,2,3,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,6,5,2,7,3] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,6,5,3,2,7] => [1,4,5,3,6,2,7] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[4,1,6,5,3,7,2] => [1,4,5,3,6,7,2] => [7,4,2,3,5,6,1] => {{1,7},{2,3,4},{5},{6}} => 2
[4,1,6,5,7,2,3] => [1,4,5,7,3,6,2] => [7,5,2,3,6,4,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,6,5,7,3,2] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,1,6,7,2,3,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,1,6,7,2,5,3] => [1,4,7,3,6,5,2] => [7,4,2,6,5,3,1] => {{1,7},{2,3,4,6},{5}} => 1
[4,1,6,7,3,2,5] => [1,4,7,5,3,6,2] => [7,5,2,4,6,3,1] => {{1,7},{2,3,5,6},{4}} => 1
[4,1,6,7,3,5,2] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,1,6,7,5,2,3] => [1,4,7,3,6,2,5] => [6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,1,6,7,5,3,2] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,1,7,2,3,5,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,1,7,2,3,6,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,7,2,5,3,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,1,7,2,5,6,3] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,7,2,6,3,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,7,2,6,5,3] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,7,3,2,5,6] => [1,4,3,7,6,5,2] => [7,3,2,6,5,4,1] => {{1,7},{2,3},{4,6},{5}} => 1
[4,1,7,3,2,6,5] => [1,4,3,7,5,2,6] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,1,7,3,5,2,6] => [1,4,3,7,6,2,5] => [6,3,2,7,5,4,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,1,7,3,5,6,2] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,1,7,3,6,2,5] => [1,4,3,7,5,6,2] => [7,3,2,5,6,4,1] => {{1,7},{2,3},{4,5,6}} => 0
[4,1,7,3,6,5,2] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,1,7,5,2,3,6] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,7,5,2,6,3] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,1,7,5,3,2,6] => [1,4,5,3,7,6,2] => [7,4,2,3,6,5,1] => {{1,7},{2,3,4},{5,6}} => 0
[4,1,7,5,3,6,2] => [1,4,5,3,7,2,6] => [6,4,2,3,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[4,1,7,5,6,2,3] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,1,7,5,6,3,2] => [1,4,5,6,3,7,2] => [7,5,2,3,4,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[4,1,7,6,2,3,5] => [1,4,6,3,7,5,2] => [7,4,2,6,3,5,1] => {{1,7},{2,3,4,5,6}} => 0
[4,1,7,6,2,5,3] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,1,7,6,3,2,5] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,1,7,6,3,5,2] => [1,4,6,5,3,7,2] => [7,5,2,4,3,6,1] => {{1,7},{2,3,5},{4},{6}} => 2
[4,1,7,6,5,2,3] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,1,7,6,5,3,2] => [1,4,6,3,7,2,5] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,1,3,5,6,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,1,3,5,7,6] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,1,3,6,5,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,1,3,6,7,5] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,1,3,7,5,6] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,2,1,3,7,6,5] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,2,1,5,3,6,7] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,2,1,5,3,7,6] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,2,1,5,6,3,7] => [1,4,5,6,3,2,7] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,2,1,5,6,7,3] => [1,4,5,6,7,3,2] => [7,6,2,3,4,5,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,1,5,7,3,6] => [1,4,5,7,6,3,2] => [7,6,2,3,5,4,1] => {{1,7},{2,3,4,6},{5}} => 1
[4,2,1,5,7,6,3] => [1,4,5,7,3,2,6] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,1,6,3,5,7] => [1,4,6,5,3,2,7] => [6,5,2,4,3,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[4,2,1,6,3,7,5] => [1,4,6,7,5,3,2] => [7,6,2,5,3,4,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,1,6,5,3,7] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,1,6,5,7,3] => [1,4,6,7,3,2,5] => [6,5,2,7,3,4,1] => {{1,4,6,7},{2,3,5}} => 0
[4,2,1,6,7,3,5] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,1,6,7,5,3] => [1,4,6,5,7,3,2] => [7,6,2,4,3,5,1] => {{1,7},{2,3,5,6},{4}} => 1
[4,2,1,7,3,5,6] => [1,4,7,6,5,3,2] => [7,6,2,5,4,3,1] => {{1,7},{2,3,6},{4,5}} => 0
[4,2,1,7,3,6,5] => [1,4,7,5,3,2,6] => [6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,2,1,7,5,3,6] => [1,4,7,6,3,2,5] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,1,7,5,6,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,2,1,7,6,3,5] => [1,4,7,5,6,3,2] => [7,6,2,4,5,3,1] => {{1,7},{2,3,6},{4},{5}} => 2
[4,2,1,7,6,5,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,2,3,1,5,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,1,5,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,1,6,5,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,1,6,7,5] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,1,7,5,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,3,1,7,6,5] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,3,5,1,6,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,5,1,7,6] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,5,6,1,7] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,5,6,7,1] => [1,4,5,6,7,2,3] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,5,7,1,6] => [1,4,5,7,6,2,3] => [6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,3,5,7,6,1] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,2,3,6,1,5,7] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,2,3,6,1,7,5] => [1,4,6,7,5,2,3] => [6,7,2,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,6,5,1,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,2,3,6,5,7,1] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,6,7,1,5] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,2,3,6,7,5,1] => [1,4,6,5,7,2,3] => [6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,2,3,7,1,5,6] => [1,4,7,6,5,2,3] => [6,7,2,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[4,2,3,7,1,6,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,2,3,7,5,1,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,2,3,7,5,6,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,3,7,6,1,5] => [1,4,7,5,6,2,3] => [6,7,2,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,2,3,7,6,5,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,1,3,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,1,3,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,1,6,3,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,1,6,7,3] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,1,7,3,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,5,1,7,6,3] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,5,3,1,6,7] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,2,5,3,1,7,6] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,2,5,3,6,1,7] => [1,4,3,5,6,2,7] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => 2
[4,2,5,3,6,7,1] => [1,4,3,5,6,7,2] => [7,3,2,4,5,6,1] => {{1,7},{2,3},{4},{5},{6}} => 3
[4,2,5,3,7,1,6] => [1,4,3,5,7,6,2] => [7,3,2,4,6,5,1] => {{1,7},{2,3},{4},{5,6}} => 1
[4,2,5,3,7,6,1] => [1,4,3,5,7,2,6] => [6,3,2,4,7,5,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,2,5,6,1,3,7] => [1,4,6,3,5,2,7] => [6,4,2,5,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,2,5,6,1,7,3] => [1,4,6,7,3,5,2] => [7,5,2,6,3,4,1] => {{1,7},{2,3,5},{4,6}} => 0
[4,2,5,6,3,1,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,2,5,6,3,7,1] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,6,7,1,3] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,2,5,6,7,3,1] => [1,4,6,3,5,7,2] => [7,4,2,5,3,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[4,2,5,7,1,3,6] => [1,4,7,6,3,5,2] => [7,5,2,6,4,3,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,5,7,1,6,3] => [1,4,7,3,5,2,6] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,7,3,1,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,2,5,7,3,6,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,5,7,6,1,3] => [1,4,7,3,5,6,2] => [7,4,2,5,6,3,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,5,7,6,3,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,6,1,3,5,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,6,1,3,7,5] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,2,6,1,5,3,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,6,1,5,7,3] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,2,6,1,7,3,5] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,6,1,7,5,3] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,6,3,1,5,7] => [1,4,3,6,5,2,7] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0
[4,2,6,3,1,7,5] => [1,4,3,6,7,5,2] => [7,3,2,6,4,5,1] => {{1,7},{2,3},{4,5,6}} => 0
[4,2,6,3,5,1,7] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,6,3,5,7,1] => [1,4,3,6,7,2,5] => [6,3,2,7,4,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,6,3,7,1,5] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,6,3,7,5,1] => [1,4,3,6,5,7,2] => [7,3,2,5,4,6,1] => {{1,7},{2,3},{4,5},{6}} => 1
[4,2,6,5,1,3,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,6,5,1,7,3] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,6,5,3,1,7] => [1,4,5,3,6,2,7] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[4,2,6,5,3,7,1] => [1,4,5,3,6,7,2] => [7,4,2,3,5,6,1] => {{1,7},{2,3,4},{5},{6}} => 2
[4,2,6,5,7,1,3] => [1,4,5,7,3,6,2] => [7,5,2,3,6,4,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,6,5,7,3,1] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,2,6,7,1,3,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,2,6,7,1,5,3] => [1,4,7,3,6,5,2] => [7,4,2,6,5,3,1] => {{1,7},{2,3,4,6},{5}} => 1
[4,2,6,7,3,1,5] => [1,4,7,5,3,6,2] => [7,5,2,4,6,3,1] => {{1,7},{2,3,5,6},{4}} => 1
[4,2,6,7,3,5,1] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,2,6,7,5,1,3] => [1,4,7,3,6,2,5] => [6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,2,6,7,5,3,1] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,2,7,1,3,5,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,2,7,1,3,6,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,7,1,5,3,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,2,7,1,5,6,3] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,7,1,6,3,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,7,1,6,5,3] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,7,3,1,5,6] => [1,4,3,7,6,5,2] => [7,3,2,6,5,4,1] => {{1,7},{2,3},{4,6},{5}} => 1
[4,2,7,3,1,6,5] => [1,4,3,7,5,2,6] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,2,7,3,5,1,6] => [1,4,3,7,6,2,5] => [6,3,2,7,5,4,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,2,7,3,5,6,1] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,2,7,3,6,1,5] => [1,4,3,7,5,6,2] => [7,3,2,5,6,4,1] => {{1,7},{2,3},{4,5,6}} => 0
[4,2,7,3,6,5,1] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,2,7,5,1,3,6] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,7,5,1,6,3] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,2,7,5,3,1,6] => [1,4,5,3,7,6,2] => [7,4,2,3,6,5,1] => {{1,7},{2,3,4},{5,6}} => 0
[4,2,7,5,3,6,1] => [1,4,5,3,7,2,6] => [6,4,2,3,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[4,2,7,5,6,1,3] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,2,7,5,6,3,1] => [1,4,5,6,3,7,2] => [7,5,2,3,4,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[4,2,7,6,1,3,5] => [1,4,6,3,7,5,2] => [7,4,2,6,3,5,1] => {{1,7},{2,3,4,5,6}} => 0
[4,2,7,6,1,5,3] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,2,7,6,3,1,5] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,2,7,6,3,5,1] => [1,4,6,5,3,7,2] => [7,5,2,4,3,6,1] => {{1,7},{2,3,5},{4},{6}} => 2
[4,2,7,6,5,1,3] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,2,7,6,5,3,1] => [1,4,6,3,7,2,5] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,2,5,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,2,5,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,2,6,5,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,2,6,7,5] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,2,7,5,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,1,2,7,6,5] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,1,5,2,6,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,5,2,7,6] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,5,6,2,7] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,5,6,7,2] => [1,4,5,6,7,2,3] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,5,7,2,6] => [1,4,5,7,6,2,3] => [6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,1,5,7,6,2] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,3,1,6,2,5,7] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,1,6,2,7,5] => [1,4,6,7,5,2,3] => [6,7,2,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,6,5,2,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,1,6,5,7,2] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,6,7,2,5] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,1,6,7,5,2] => [1,4,6,5,7,2,3] => [6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,1,7,2,5,6] => [1,4,7,6,5,2,3] => [6,7,2,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[4,3,1,7,2,6,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,3,1,7,5,2,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,3,1,7,5,6,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,1,7,6,2,5] => [1,4,7,5,6,2,3] => [6,7,2,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,3,1,7,6,5,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,1,5,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,1,5,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,1,6,5,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,1,6,7,5] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,1,7,5,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,2,1,7,6,5] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,2,5,1,6,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,5,1,7,6] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,5,6,1,7] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,5,6,7,1] => [1,4,5,6,7,2,3] => [6,7,2,3,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,5,7,1,6] => [1,4,5,7,6,2,3] => [6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,2,5,7,6,1] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,3,2,6,1,5,7] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,2,6,1,7,5] => [1,4,6,7,5,2,3] => [6,7,2,5,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,6,5,1,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,2,6,5,7,1] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,6,7,1,5] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,2,6,7,5,1] => [1,4,6,5,7,2,3] => [6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,2,7,1,5,6] => [1,4,7,6,5,2,3] => [6,7,2,5,4,3,1] => {{1,2,3,6,7},{4,5}} => 0
[4,3,2,7,1,6,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,3,2,7,5,1,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,3,2,7,5,6,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,2,7,6,1,5] => [1,4,7,5,6,2,3] => [6,7,2,4,5,3,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,3,2,7,6,5,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,1,2,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,1,2,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,1,6,2,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,1,6,7,2] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,1,7,2,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,5,1,7,6,2] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,5,2,1,6,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,2,1,7,6] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,2,6,1,7] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,2,6,7,1] => [1,4,2,3,5,6,7] => [3,4,2,5,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,2,7,1,6] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,5,2,7,6,1] => [1,4,2,3,5,7,6] => [3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,5,6,1,2,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,5,6,1,7,2] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,6,2,1,7] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,5,6,2,7,1] => [1,4,6,7,2,3,5] => [5,6,2,7,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,6,7,1,2] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,5,6,7,2,1] => [1,4,6,2,3,5,7] => [4,5,2,6,3,7,1] => {{1,4,6,7},{2,3,5}} => 0
[4,3,5,7,1,2,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,3,5,7,1,6,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,7,2,1,6] => [1,4,7,6,2,3,5] => [5,6,2,7,4,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,3,5,7,2,6,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,7,6,1,2] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,5,7,6,2,1] => [1,4,7,2,3,5,6] => [4,5,2,6,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,6,1,2,5,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,1,2,7,5] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,3,6,1,5,2,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,1,5,7,2] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,3,6,1,7,2,5] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,1,7,5,2] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,2,1,5,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,2,1,7,5] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,3,6,2,5,1,7] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,2,5,7,1] => [1,4,2,3,6,7,5] => [3,4,2,7,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,3,6,2,7,1,5] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,2,7,5,1] => [1,4,2,3,6,5,7] => [3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,3,6,5,1,2,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,6,5,1,7,2] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,6,5,2,1,7] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,6,5,2,7,1] => [1,4,5,2,3,6,7] => [4,5,2,3,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,6,5,7,1,2] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,3,6,5,7,2,1] => [1,4,5,7,2,3,6] => [5,6,2,3,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[4,3,6,7,1,2,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,3,6,7,1,5,2] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,3,6,7,2,1,5] => [1,4,7,5,2,3,6] => [5,6,2,4,7,3,1] => {{1,5,7},{2,3,6},{4}} => 1
[4,3,6,7,2,5,1] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,3,6,7,5,1,2] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,3,6,7,5,2,1] => [1,4,7,2,3,6,5] => [4,5,2,7,6,3,1] => {{1,4,7},{2,3,5,6}} => 0
[4,3,7,1,2,5,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,3,7,1,2,6,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,1,5,2,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,3,7,1,5,6,2] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,1,6,2,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,1,6,5,2] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,2,1,5,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,3,7,2,1,6,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,2,5,1,6] => [1,4,2,3,7,6,5] => [3,4,2,7,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,3,7,2,5,6,1] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,2,6,1,5] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,2,6,5,1] => [1,4,2,3,7,5,6] => [3,4,2,6,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,5,1,2,6] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,7,5,1,6,2] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,7,5,2,1,6] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,7,5,2,6,1] => [1,4,5,2,3,7,6] => [4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,3,7,5,6,1,2] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,5,6,2,1] => [1,4,5,6,2,3,7] => [5,6,2,3,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,3,7,6,1,2,5] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,3,7,6,1,5,2] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,7,6,2,1,5] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,3,7,6,2,5,1] => [1,4,6,5,2,3,7] => [5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,3,7,6,5,1,2] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,3,7,6,5,2,1] => [1,4,6,2,3,7,5] => [4,5,2,7,3,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[4,5,1,2,3,6,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,1,2,3,7,6] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,1,2,6,3,7] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,1,2,6,7,3] => [1,4,2,5,6,7,3] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[4,5,1,2,7,3,6] => [1,4,2,5,7,6,3] => [3,7,2,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[4,5,1,2,7,6,3] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,1,3,2,6,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,1,3,2,7,6] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,1,3,6,2,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,1,3,6,7,2] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,1,3,7,2,6] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,5,1,3,7,6,2] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,5,1,6,2,3,7] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,1,6,2,7,3] => [1,4,6,7,3,2,5] => [6,5,2,7,3,4,1] => {{1,4,6,7},{2,3,5}} => 0
[4,5,1,6,3,2,7] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,1,6,3,7,2] => [1,4,6,7,2,5,3] => [5,7,2,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,5,1,6,7,2,3] => [1,4,6,2,5,7,3] => [4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,5,1,6,7,3,2] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,1,7,2,3,6] => [1,4,7,6,3,2,5] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,1,7,2,6,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,5,1,7,3,2,6] => [1,4,7,6,2,5,3] => [5,7,2,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,1,7,3,6,2] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,1,7,6,2,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,5,1,7,6,3,2] => [1,4,7,2,5,6,3] => [4,7,2,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,1,3,6,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,2,1,3,7,6] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,2,1,6,3,7] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,2,1,6,7,3] => [1,4,2,5,6,7,3] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[4,5,2,1,7,3,6] => [1,4,2,5,7,6,3] => [3,7,2,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[4,5,2,1,7,6,3] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,2,3,1,6,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,2,3,1,7,6] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,2,3,6,1,7] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,2,3,6,7,1] => [1,4,3,2,5,6,7] => [4,3,2,5,6,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,2,3,7,1,6] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,5,2,3,7,6,1] => [1,4,3,2,5,7,6] => [4,3,2,5,7,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,5,2,6,1,3,7] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,6,1,7,3] => [1,4,6,7,3,2,5] => [6,5,2,7,3,4,1] => {{1,4,6,7},{2,3,5}} => 0
[4,5,2,6,3,1,7] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,6,3,7,1] => [1,4,6,7,2,5,3] => [5,7,2,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,5,2,6,7,1,3] => [1,4,6,2,5,7,3] => [4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,5,2,6,7,3,1] => [1,4,6,3,2,5,7] => [5,4,2,6,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,7,1,3,6] => [1,4,7,6,3,2,5] => [6,5,2,7,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,7,1,6,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,5,2,7,3,1,6] => [1,4,7,6,2,5,3] => [5,7,2,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,2,7,3,6,1] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,2,7,6,1,3] => [1,4,7,3,2,5,6] => [5,4,2,6,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[4,5,2,7,6,3,1] => [1,4,7,2,5,6,3] => [4,7,2,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,1,2,6,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,1,2,7,6] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,1,6,2,7] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,3,1,6,7,2] => [1,4,2,5,6,7,3] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[4,5,3,1,7,2,6] => [1,4,2,5,7,6,3] => [3,7,2,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[4,5,3,1,7,6,2] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,2,1,6,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,2,1,7,6] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,2,6,1,7] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,3,2,6,7,1] => [1,4,2,5,6,7,3] => [3,7,2,4,5,6,1] => {{1,2,3,7},{4},{5},{6}} => 3
[4,5,3,2,7,1,6] => [1,4,2,5,7,6,3] => [3,7,2,4,6,5,1] => {{1,2,3,7},{4},{5,6}} => 1
[4,5,3,2,7,6,1] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,3,6,1,2,7] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,6,1,7,2] => [1,4,6,7,2,5,3] => [5,7,2,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,5,3,6,2,1,7] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,6,2,7,1] => [1,4,6,7,2,5,3] => [5,7,2,6,3,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,5,3,6,7,1,2] => [1,4,6,2,5,7,3] => [4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,5,3,6,7,2,1] => [1,4,6,2,5,7,3] => [4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,5,3,7,1,2,6] => [1,4,7,6,2,5,3] => [5,7,2,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,7,1,6,2] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,3,7,2,1,6] => [1,4,7,6,2,5,3] => [5,7,2,6,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,7,2,6,1] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,3,7,6,1,2] => [1,4,7,2,5,6,3] => [4,7,2,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,3,7,6,2,1] => [1,4,7,2,5,6,3] => [4,7,2,5,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,6,1,2,3,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,1,2,7,3] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,1,3,2,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,1,3,7,2] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,1,7,2,3] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,1,7,3,2] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,1,3,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,1,7,3] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,3,1,7] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,3,7,1] => [1,4,2,5,3,6,7] => [3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,7,1,3] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,2,7,3,1] => [1,4,2,5,7,3,6] => [3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => 1
[4,5,6,3,1,2,7] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,3,1,7,2] => [1,4,3,6,7,2,5] => [6,3,2,7,4,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,3,2,1,7] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,3,2,7,1] => [1,4,3,6,7,2,5] => [6,3,2,7,4,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,3,7,1,2] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,3,7,2,1] => [1,4,3,6,2,5,7] => [5,3,2,6,4,7,1] => {{1,4,5,6,7},{2,3}} => 0
[4,5,6,7,1,2,3] => [1,4,7,3,6,2,5] => [6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,5,6,7,1,3,2] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,6,7,2,1,3] => [1,4,7,3,6,2,5] => [6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,5,6,7,2,3,1] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,6,7,3,1,2] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,6,7,3,2,1] => [1,4,7,2,5,3,6] => [4,6,2,5,7,3,1] => {{1,4,5,7},{2,3,6}} => 0
[4,5,7,1,2,3,6] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,1,2,6,3] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,1,3,2,6] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,1,3,6,2] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,1,6,2,3] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,7,1,6,3,2] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,7,2,1,3,6] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,2,1,6,3] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,2,3,1,6] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,2,3,6,1] => [1,4,2,5,3,7,6] => [3,5,2,4,7,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,5,7,2,6,1,3] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,7,2,6,3,1] => [1,4,2,5,6,3,7] => [3,6,2,4,5,7,1] => {{1,2,3,6,7},{4},{5}} => 2
[4,5,7,3,1,2,6] => [1,4,3,7,6,2,5] => [6,3,2,7,5,4,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,5,7,3,1,6,2] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,5,7,3,2,1,6] => [1,4,3,7,6,2,5] => [6,3,2,7,5,4,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,5,7,3,2,6,1] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,5,7,3,6,1,2] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,5,7,3,6,2,1] => [1,4,3,7,2,5,6] => [5,3,2,6,7,4,1] => {{1,5,7},{2,3},{4,6}} => 0
[4,5,7,6,1,2,3] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,7,6,1,3,2] => [1,4,6,3,7,2,5] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,7,6,2,1,3] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,7,6,2,3,1] => [1,4,6,3,7,2,5] => [6,4,2,7,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,7,6,3,1,2] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,5,7,6,3,2,1] => [1,4,6,2,5,3,7] => [4,6,2,5,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,2,3,5,7] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,1,2,3,7,5] => [1,4,2,6,7,5,3] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[4,6,1,2,5,3,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,2,5,7,3] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,2,7,3,5] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,2,7,5,3] => [1,4,2,6,5,7,3] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[4,6,1,3,2,5,7] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,1,3,2,7,5] => [1,4,3,2,6,7,5] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => 2
[4,6,1,3,5,2,7] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,1,3,5,7,2] => [1,4,3,2,6,7,5] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => 2
[4,6,1,3,7,2,5] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,1,3,7,5,2] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,1,5,2,3,7] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,1,5,2,7,3] => [1,4,5,2,6,7,3] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,6,1,5,3,2,7] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,6,1,5,3,7,2] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,6,1,5,7,2,3] => [1,4,5,7,3,2,6] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,5,7,3,2] => [1,4,5,7,2,6,3] => [5,7,2,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,7,2,3,5] => [1,4,7,5,2,6,3] => [5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,1,7,2,5,3] => [1,4,7,3,2,6,5] => [5,4,2,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,7,3,2,5] => [1,4,7,5,3,2,6] => [6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,1,7,3,5,2] => [1,4,7,2,6,5,3] => [4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,1,7,5,2,3] => [1,4,7,3,2,6,5] => [5,4,2,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,1,7,5,3,2] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,2,1,3,5,7] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,2,1,3,7,5] => [1,4,2,6,7,5,3] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[4,6,2,1,5,3,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,1,5,7,3] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,1,7,3,5] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,1,7,5,3] => [1,4,2,6,5,7,3] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[4,6,2,3,1,5,7] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,2,3,1,7,5] => [1,4,3,2,6,7,5] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => 2
[4,6,2,3,5,1,7] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,2,3,5,7,1] => [1,4,3,2,6,7,5] => [4,3,2,7,5,6,1] => {{1,4,7},{2,3},{5},{6}} => 2
[4,6,2,3,7,1,5] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,2,3,7,5,1] => [1,4,3,2,6,5,7] => [4,3,2,6,5,7,1] => {{1,4,6,7},{2,3},{5}} => 1
[4,6,2,5,1,3,7] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,2,5,1,7,3] => [1,4,5,2,6,7,3] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,6,2,5,3,1,7] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,6,2,5,3,7,1] => [1,4,5,3,2,6,7] => [5,4,2,3,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[4,6,2,5,7,1,3] => [1,4,5,7,3,2,6] => [6,5,2,3,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,5,7,3,1] => [1,4,5,7,2,6,3] => [5,7,2,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,7,1,3,5] => [1,4,7,5,2,6,3] => [5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,2,7,1,5,3] => [1,4,7,3,2,6,5] => [5,4,2,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,7,3,1,5] => [1,4,7,5,3,2,6] => [6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,2,7,3,5,1] => [1,4,7,2,6,5,3] => [4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,2,7,5,1,3] => [1,4,7,3,2,6,5] => [5,4,2,7,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,2,7,5,3,1] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,3,1,2,5,7] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,3,1,2,7,5] => [1,4,2,6,7,5,3] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[4,6,3,1,5,2,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,1,5,7,2] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,1,7,2,5] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,1,7,5,2] => [1,4,2,6,5,7,3] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[4,6,3,2,1,5,7] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,3,2,1,7,5] => [1,4,2,6,7,5,3] => [3,7,2,6,4,5,1] => {{1,2,3,7},{4,5,6}} => 0
[4,6,3,2,5,1,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,2,5,7,1] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,2,7,1,5] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,2,7,5,1] => [1,4,2,6,5,7,3] => [3,7,2,5,4,6,1] => {{1,2,3,7},{4,5},{6}} => 1
[4,6,3,5,1,2,7] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,3,5,1,7,2] => [1,4,5,2,6,7,3] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,6,3,5,2,1,7] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,3,5,2,7,1] => [1,4,5,2,6,7,3] => [4,7,2,3,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[4,6,3,5,7,1,2] => [1,4,5,7,2,6,3] => [5,7,2,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,5,7,2,1] => [1,4,5,7,2,6,3] => [5,7,2,3,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,3,7,1,2,5] => [1,4,7,5,2,6,3] => [5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,3,7,1,5,2] => [1,4,7,2,6,5,3] => [4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,3,7,2,1,5] => [1,4,7,5,2,6,3] => [5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => 1
[4,6,3,7,2,5,1] => [1,4,7,2,6,5,3] => [4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,3,7,5,1,2] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,3,7,5,2,1] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,5,1,2,3,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,1,2,7,3] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,1,3,2,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,1,3,7,2] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,1,7,2,3] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,1,7,3,2] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,1,3,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,1,7,3] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,3,1,7] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,3,7,1] => [1,4,2,6,7,3,5] => [3,6,2,7,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,7,1,3] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,2,7,3,1] => [1,4,2,6,3,5,7] => [3,5,2,6,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,3,1,2,7] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,3,1,7,2] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,3,2,1,7] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,3,2,7,1] => [1,4,3,5,2,6,7] => [5,3,2,4,6,7,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,3,7,1,2] => [1,4,3,5,7,2,6] => [6,3,2,4,7,5,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,3,7,2,1] => [1,4,3,5,7,2,6] => [6,3,2,4,7,5,1] => {{1,5,6,7},{2,3},{4}} => 1
[4,6,5,7,1,2,3] => [1,4,7,3,5,2,6] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,7,1,3,2] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,5,7,2,1,3] => [1,4,7,3,5,2,6] => [6,4,2,5,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[4,6,5,7,2,3,1] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,5,7,3,1,2] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,5,7,3,2,1] => [1,4,7,2,6,3,5] => [4,6,2,7,5,3,1] => {{1,4,7},{2,3,6},{5}} => 1
[4,6,7,1,2,3,5] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,1,2,5,3] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,7,1,3,2,5] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,1,3,5,2] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,7,1,5,2,3] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,1,5,3,2] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,2,1,3,5] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,2,1,5,3] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,7,2,3,1,5] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,2,3,5,1] => [1,4,2,6,5,3,7] => [3,6,2,5,4,7,1] => {{1,2,3,6,7},{4,5}} => 0
[4,6,7,2,5,1,3] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,2,5,3,1] => [1,4,2,6,3,7,5] => [3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,6,7,3,1,2,5] => [1,4,3,7,5,2,6] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,3,1,5,2] => [1,4,3,7,2,6,5] => [5,3,2,7,6,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,3,2,1,5] => [1,4,3,7,5,2,6] => [6,3,2,5,7,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,3,2,5,1] => [1,4,3,7,2,6,5] => [5,3,2,7,6,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,3,5,1,2] => [1,4,3,7,2,6,5] => [5,3,2,7,6,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,3,5,2,1] => [1,4,3,7,2,6,5] => [5,3,2,7,6,4,1] => {{1,4,5,6,7},{2,3}} => 0
[4,6,7,5,1,2,3] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,7,5,1,3,2] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,7,5,2,1,3] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,7,5,2,3,1] => [1,4,5,2,6,3,7] => [4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[4,6,7,5,3,1,2] => [1,4,5,3,7,2,6] => [6,4,2,3,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[4,6,7,5,3,2,1] => [1,4,5,3,7,2,6] => [6,4,2,3,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[4,7,1,2,3,5,6] => [1,4,2,7,6,5,3] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[4,7,1,2,3,6,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,1,2,5,3,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,1,2,5,6,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,1,2,6,3,5] => [1,4,2,7,5,6,3] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[4,7,1,2,6,5,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,1,3,2,5,6] => [1,4,3,2,7,6,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0
[4,7,1,3,2,6,5] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,1,3,5,2,6] => [1,4,3,2,7,6,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0
[4,7,1,3,5,6,2] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,1,3,6,2,5] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,1,3,6,5,2] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,1,5,2,3,6] => [1,4,5,2,7,6,3] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,7,1,5,2,6,3] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,1,5,3,2,6] => [1,4,5,3,2,7,6] => [5,4,2,3,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[4,7,1,5,3,6,2] => [1,4,5,3,2,7,6] => [5,4,2,3,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[4,7,1,5,6,2,3] => [1,4,5,6,2,7,3] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,1,5,6,3,2] => [1,4,5,6,3,2,7] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,7,1,6,2,3,5] => [1,4,6,3,2,7,5] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,1,6,2,5,3] => [1,4,6,5,2,7,3] => [5,7,2,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,7,1,6,3,2,5] => [1,4,6,2,7,5,3] => [4,7,2,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,1,6,3,5,2] => [1,4,6,5,3,2,7] => [6,5,2,4,3,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[4,7,1,6,5,2,3] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,1,6,5,3,2] => [1,4,6,3,2,7,5] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,2,1,3,5,6] => [1,4,2,7,6,5,3] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[4,7,2,1,3,6,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,2,1,5,3,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,2,1,5,6,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,2,1,6,3,5] => [1,4,2,7,5,6,3] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[4,7,2,1,6,5,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,2,3,1,5,6] => [1,4,3,2,7,6,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0
[4,7,2,3,1,6,5] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,2,3,5,1,6] => [1,4,3,2,7,6,5] => [4,3,2,7,6,5,1] => {{1,4,7},{2,3},{5,6}} => 0
[4,7,2,3,5,6,1] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,2,3,6,1,5] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,2,3,6,5,1] => [1,4,3,2,7,5,6] => [4,3,2,6,7,5,1] => {{1,4,5,6,7},{2,3}} => 0
[4,7,2,5,1,3,6] => [1,4,5,2,7,6,3] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,7,2,5,1,6,3] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,2,5,3,1,6] => [1,4,5,3,2,7,6] => [5,4,2,3,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[4,7,2,5,3,6,1] => [1,4,5,3,2,7,6] => [5,4,2,3,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[4,7,2,5,6,1,3] => [1,4,5,6,2,7,3] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,2,5,6,3,1] => [1,4,5,6,3,2,7] => [6,5,2,3,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,7,2,6,1,3,5] => [1,4,6,3,2,7,5] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,2,6,1,5,3] => [1,4,6,5,2,7,3] => [5,7,2,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,7,2,6,3,1,5] => [1,4,6,2,7,5,3] => [4,7,2,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,2,6,3,5,1] => [1,4,6,5,3,2,7] => [6,5,2,4,3,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[4,7,2,6,5,1,3] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,2,6,5,3,1] => [1,4,6,3,2,7,5] => [5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,3,1,2,5,6] => [1,4,2,7,6,5,3] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[4,7,3,1,2,6,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,1,5,2,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,3,1,5,6,2] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,3,1,6,2,5] => [1,4,2,7,5,6,3] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[4,7,3,1,6,5,2] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,3,2,1,5,6] => [1,4,2,7,6,5,3] => [3,7,2,6,5,4,1] => {{1,2,3,7},{4,6},{5}} => 1
[4,7,3,2,1,6,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,2,5,1,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,3,2,5,6,1] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,3,2,6,1,5] => [1,4,2,7,5,6,3] => [3,7,2,5,6,4,1] => {{1,2,3,7},{4,5,6}} => 0
[4,7,3,2,6,5,1] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,3,5,1,2,6] => [1,4,5,2,7,6,3] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,7,3,5,1,6,2] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,5,2,1,6] => [1,4,5,2,7,6,3] => [4,7,2,3,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[4,7,3,5,2,6,1] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,5,6,1,2] => [1,4,5,6,2,7,3] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,3,5,6,2,1] => [1,4,5,6,2,7,3] => [5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[4,7,3,6,1,2,5] => [1,4,6,2,7,5,3] => [4,7,2,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,6,1,5,2] => [1,4,6,5,2,7,3] => [5,7,2,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,7,3,6,2,1,5] => [1,4,6,2,7,5,3] => [4,7,2,6,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,3,6,2,5,1] => [1,4,6,5,2,7,3] => [5,7,2,4,3,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[4,7,3,6,5,1,2] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,3,6,5,2,1] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,5,1,2,3,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,5,1,2,6,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,1,3,2,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,5,1,3,6,2] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,1,6,2,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,1,6,3,2] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,2,1,3,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,5,2,1,6,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,2,3,1,6] => [1,4,2,7,6,3,5] => [3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[4,7,5,2,3,6,1] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,2,6,1,3] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,2,6,3,1] => [1,4,2,7,3,5,6] => [3,5,2,6,7,4,1] => {{1,2,3,5,7},{4,6}} => 0
[4,7,5,3,1,2,6] => [1,4,3,5,2,7,6] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => 2
[4,7,5,3,1,6,2] => [1,4,3,5,2,7,6] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => 2
[4,7,5,3,2,1,6] => [1,4,3,5,2,7,6] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => 2
[4,7,5,3,2,6,1] => [1,4,3,5,2,7,6] => [5,3,2,4,7,6,1] => {{1,5,7},{2,3},{4},{6}} => 2
[4,7,5,3,6,1,2] => [1,4,3,5,6,2,7] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => 2
[4,7,5,3,6,2,1] => [1,4,3,5,6,2,7] => [6,3,2,4,5,7,1] => {{1,6,7},{2,3},{4},{5}} => 2
[4,7,5,6,1,2,3] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,5,6,1,3,2] => [1,4,6,3,5,2,7] => [6,4,2,5,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,7,5,6,2,1,3] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,5,6,2,3,1] => [1,4,6,3,5,2,7] => [6,4,2,5,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[4,7,5,6,3,1,2] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,5,6,3,2,1] => [1,4,6,2,7,3,5] => [4,6,2,7,3,5,1] => {{1,4,7},{2,3,5,6}} => 0
[4,7,6,1,2,3,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,1,2,5,3] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,1,3,2,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,1,3,5,2] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,1,5,2,3] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,1,5,3,2] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,1,3,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,1,5,3] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,3,1,5] => [1,4,2,7,5,3,6] => [3,6,2,5,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,3,5,1] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,5,1,3] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,2,5,3,1] => [1,4,2,7,3,6,5] => [3,5,2,7,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,3,1,2,5] => [1,4,3,6,2,7,5] => [5,3,2,7,4,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,7,6,3,1,5,2] => [1,4,3,6,5,2,7] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0
[4,7,6,3,2,1,5] => [1,4,3,6,2,7,5] => [5,3,2,7,4,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,7,6,3,2,5,1] => [1,4,3,6,5,2,7] => [6,3,2,5,4,7,1] => {{1,6,7},{2,3},{4,5}} => 0
[4,7,6,3,5,1,2] => [1,4,3,6,2,7,5] => [5,3,2,7,4,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,7,6,3,5,2,1] => [1,4,3,6,2,7,5] => [5,3,2,7,4,6,1] => {{1,4,5,7},{2,3},{6}} => 1
[4,7,6,5,1,2,3] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,5,1,3,2] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,5,2,1,3] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,5,2,3,1] => [1,4,5,2,7,3,6] => [4,6,2,3,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[4,7,6,5,3,1,2] => [1,4,5,3,6,2,7] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[4,7,6,5,3,2,1] => [1,4,5,3,6,2,7] => [6,4,2,3,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[5,1,2,3,4,6,7] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,1,2,3,4,7,6] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,1,2,3,6,4,7] => [1,5,6,4,3,2,7] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,1,2,3,6,7,4] => [1,5,6,7,4,3,2] => [7,6,5,2,3,4,1] => {{1,7},{2,4,6},{3,5}} => 0
[5,1,2,3,7,4,6] => [1,5,7,6,4,3,2] => [7,6,5,2,4,3,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,2,3,7,6,4] => [1,5,7,4,3,2,6] => [6,5,4,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,4,3,6,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,4,3,7,6] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,4,6,3,7] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,2,4,6,7,3] => [1,5,6,7,3,2,4] => [6,5,7,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,4,7,3,6] => [1,5,7,6,3,2,4] => [6,5,7,2,4,3,1] => {{1,3,6,7},{2,4,5}} => 0
[5,1,2,4,7,6,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,1,2,6,3,4,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,6,3,7,4] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,2,6,4,3,7] => [1,5,4,6,3,2,7] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[5,1,2,6,4,7,3] => [1,5,4,6,7,3,2] => [7,6,3,2,4,5,1] => {{1,7},{2,4,5,6},{3}} => 1
[5,1,2,6,7,3,4] => [1,5,7,4,6,3,2] => [7,6,4,2,5,3,1] => {{1,7},{2,3,4,6},{5}} => 1
[5,1,2,6,7,4,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,1,2,7,3,4,6] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,1,2,7,3,6,4] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,1,2,7,4,3,6] => [1,5,4,7,6,3,2] => [7,6,3,2,5,4,1] => {{1,7},{2,4,6},{3},{5}} => 2
[5,1,2,7,4,6,3] => [1,5,4,7,3,2,6] => [6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,2,7,6,3,4] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,2,7,6,4,3] => [1,5,6,4,7,3,2] => [7,6,4,2,3,5,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,3,2,4,6,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,3,2,4,7,6] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,3,2,6,4,7] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,3,2,6,7,4] => [1,5,6,7,4,2,3] => [6,7,5,2,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[5,1,3,2,7,4,6] => [1,5,7,6,4,2,3] => [6,7,5,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,3,2,7,6,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,1,3,4,2,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,3,4,2,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,3,4,6,2,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,3,4,6,7,2] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,1,3,4,7,2,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,3,4,7,6,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,1,3,6,2,4,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,3,6,2,7,4] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,3,6,4,2,7] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,3,6,4,7,2] => [1,5,4,6,7,2,3] => [6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,3,6,7,2,4] => [1,5,7,4,6,2,3] => [6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,1,3,6,7,4,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,1,3,7,2,4,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,1,3,7,2,6,4] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,1,3,7,4,2,6] => [1,5,4,7,6,2,3] => [6,7,3,2,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,1,3,7,4,6,2] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,1,3,7,6,2,4] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,3,7,6,4,2] => [1,5,6,4,7,2,3] => [6,7,4,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,4,2,3,6,7] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,1,4,2,3,7,6] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,1,4,2,6,3,7] => [1,5,6,3,4,2,7] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => 0
[5,1,4,2,6,7,3] => [1,5,6,7,3,4,2] => [7,5,6,2,3,4,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,4,2,7,3,6] => [1,5,7,6,3,4,2] => [7,5,6,2,4,3,1] => {{1,7},{2,4,5},{3,6}} => 0
[5,1,4,2,7,6,3] => [1,5,7,3,4,2,6] => [6,4,5,2,7,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,4,3,2,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,4,3,2,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,4,3,6,2,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,4,3,6,7,2] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,1,4,3,7,2,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,4,3,7,6,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,1,4,6,2,3,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,4,6,2,7,3] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,4,6,3,2,7] => [1,5,3,4,6,2,7] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[5,1,4,6,3,7,2] => [1,5,3,4,6,7,2] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}} => 2
[5,1,4,6,7,2,3] => [1,5,7,3,4,6,2] => [7,4,5,2,6,3,1] => {{1,7},{2,4},{3,5,6}} => 0
[5,1,4,6,7,3,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,1,4,7,2,3,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,1,4,7,2,6,3] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,1,4,7,3,2,6] => [1,5,3,4,7,6,2] => [7,3,4,2,6,5,1] => {{1,7},{2,3,4},{5,6}} => 0
[5,1,4,7,3,6,2] => [1,5,3,4,7,2,6] => [6,3,4,2,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[5,1,4,7,6,2,3] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,4,7,6,3,2] => [1,5,6,3,4,7,2] => [7,4,5,2,3,6,1] => {{1,7},{2,4},{3,5},{6}} => 1
[5,1,6,2,3,4,7] => [1,5,3,6,4,2,7] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,1,6,2,3,7,4] => [1,5,3,6,7,4,2] => [7,3,6,2,4,5,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,6,2,4,3,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,6,2,4,7,3] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,6,2,7,3,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,1,6,2,7,4,3] => [1,5,7,3,6,4,2] => [7,4,6,2,5,3,1] => {{1,7},{2,4},{3,6},{5}} => 1
[5,1,6,3,2,4,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,1,6,3,2,7,4] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,1,6,3,4,2,7] => [1,5,4,3,6,2,7] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[5,1,6,3,4,7,2] => [1,5,4,3,6,7,2] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => 3
[5,1,6,3,7,2,4] => [1,5,7,4,3,6,2] => [7,5,4,2,6,3,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,6,3,7,4,2] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,6,4,2,3,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,1,6,4,2,7,3] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,1,6,4,3,2,7] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,6,4,3,7,2] => [1,5,3,6,7,2,4] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,6,4,7,2,3] => [1,5,7,3,6,2,4] => [6,4,7,2,5,3,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,1,6,4,7,3,2] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,6,7,2,3,4] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,1,6,7,2,4,3] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,1,6,7,3,2,4] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,6,7,3,4,2] => [1,5,3,6,4,7,2] => [7,3,5,2,4,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[5,1,6,7,4,2,3] => [1,5,4,7,3,6,2] => [7,5,3,2,6,4,1] => {{1,7},{2,4,5,6},{3}} => 1
[5,1,6,7,4,3,2] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,1,7,2,3,4,6] => [1,5,3,7,6,4,2] => [7,3,6,2,5,4,1] => {{1,7},{2,3,4,6},{5}} => 1
[5,1,7,2,3,6,4] => [1,5,3,7,4,2,6] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,7,2,4,3,6] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,1,7,2,4,6,3] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,1,7,2,6,3,4] => [1,5,6,3,7,4,2] => [7,4,6,2,3,5,1] => {{1,7},{2,4},{3,5,6}} => 0
[5,1,7,2,6,4,3] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,1,7,3,2,4,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,1,7,3,2,6,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,7,3,4,2,6] => [1,5,4,3,7,6,2] => [7,4,3,2,6,5,1] => {{1,7},{2,4},{3},{5,6}} => 1
[5,1,7,3,4,6,2] => [1,5,4,3,7,2,6] => [6,4,3,2,7,5,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,1,7,3,6,2,4] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,1,7,3,6,4,2] => [1,5,6,4,3,7,2] => [7,5,4,2,3,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[5,1,7,4,2,3,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,1,7,4,2,6,3] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,7,4,3,2,6] => [1,5,3,7,6,2,4] => [6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,1,7,4,3,6,2] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,1,7,4,6,2,3] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,1,7,4,6,3,2] => [1,5,6,3,7,2,4] => [6,4,7,2,3,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,7,6,2,3,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,7,6,2,4,3] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,1,7,6,3,2,4] => [1,5,3,7,4,6,2] => [7,3,5,2,6,4,1] => {{1,7},{2,3,4,5,6}} => 0
[5,1,7,6,3,4,2] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,1,7,6,4,2,3] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,1,7,6,4,3,2] => [1,5,4,6,3,7,2] => [7,5,3,2,4,6,1] => {{1,7},{2,4,5},{3},{6}} => 2
[5,2,1,3,4,6,7] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,2,1,3,4,7,6] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,2,1,3,6,4,7] => [1,5,6,4,3,2,7] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,2,1,3,6,7,4] => [1,5,6,7,4,3,2] => [7,6,5,2,3,4,1] => {{1,7},{2,4,6},{3,5}} => 0
[5,2,1,3,7,4,6] => [1,5,7,6,4,3,2] => [7,6,5,2,4,3,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,1,3,7,6,4] => [1,5,7,4,3,2,6] => [6,5,4,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,4,3,6,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,4,3,7,6] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,4,6,3,7] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,1,4,6,7,3] => [1,5,6,7,3,2,4] => [6,5,7,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,4,7,3,6] => [1,5,7,6,3,2,4] => [6,5,7,2,4,3,1] => {{1,3,6,7},{2,4,5}} => 0
[5,2,1,4,7,6,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,2,1,6,3,4,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,6,3,7,4] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,1,6,4,3,7] => [1,5,4,6,3,2,7] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[5,2,1,6,4,7,3] => [1,5,4,6,7,3,2] => [7,6,3,2,4,5,1] => {{1,7},{2,4,5,6},{3}} => 1
[5,2,1,6,7,3,4] => [1,5,7,4,6,3,2] => [7,6,4,2,5,3,1] => {{1,7},{2,3,4,6},{5}} => 1
[5,2,1,6,7,4,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,2,1,7,3,4,6] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,2,1,7,3,6,4] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,2,1,7,4,3,6] => [1,5,4,7,6,3,2] => [7,6,3,2,5,4,1] => {{1,7},{2,4,6},{3},{5}} => 2
[5,2,1,7,4,6,3] => [1,5,4,7,3,2,6] => [6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,1,7,6,3,4] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,1,7,6,4,3] => [1,5,6,4,7,3,2] => [7,6,4,2,3,5,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,3,1,4,6,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,3,1,4,7,6] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,3,1,6,4,7] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,3,1,6,7,4] => [1,5,6,7,4,2,3] => [6,7,5,2,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[5,2,3,1,7,4,6] => [1,5,7,6,4,2,3] => [6,7,5,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,3,1,7,6,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,2,3,4,1,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,3,4,1,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,3,4,6,1,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,3,4,6,7,1] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,2,3,4,7,1,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,3,4,7,6,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,2,3,6,1,4,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,3,6,1,7,4] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,3,6,4,1,7] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,3,6,4,7,1] => [1,5,4,6,7,2,3] => [6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,3,6,7,1,4] => [1,5,7,4,6,2,3] => [6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,2,3,6,7,4,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,2,3,7,1,4,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,2,3,7,1,6,4] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,2,3,7,4,1,6] => [1,5,4,7,6,2,3] => [6,7,3,2,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,2,3,7,4,6,1] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,2,3,7,6,1,4] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,3,7,6,4,1] => [1,5,6,4,7,2,3] => [6,7,4,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,4,1,3,6,7] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,2,4,1,3,7,6] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,2,4,1,6,3,7] => [1,5,6,3,4,2,7] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => 0
[5,2,4,1,6,7,3] => [1,5,6,7,3,4,2] => [7,5,6,2,3,4,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,4,1,7,3,6] => [1,5,7,6,3,4,2] => [7,5,6,2,4,3,1] => {{1,7},{2,4,5},{3,6}} => 0
[5,2,4,1,7,6,3] => [1,5,7,3,4,2,6] => [6,4,5,2,7,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,4,3,1,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,4,3,1,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,4,3,6,1,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,4,3,6,7,1] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,2,4,3,7,1,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,4,3,7,6,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,2,4,6,1,3,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,4,6,1,7,3] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,4,6,3,1,7] => [1,5,3,4,6,2,7] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[5,2,4,6,3,7,1] => [1,5,3,4,6,7,2] => [7,3,4,2,5,6,1] => {{1,7},{2,3,4},{5},{6}} => 2
[5,2,4,6,7,1,3] => [1,5,7,3,4,6,2] => [7,4,5,2,6,3,1] => {{1,7},{2,4},{3,5,6}} => 0
[5,2,4,6,7,3,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,2,4,7,1,3,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,2,4,7,1,6,3] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,2,4,7,3,1,6] => [1,5,3,4,7,6,2] => [7,3,4,2,6,5,1] => {{1,7},{2,3,4},{5,6}} => 0
[5,2,4,7,3,6,1] => [1,5,3,4,7,2,6] => [6,3,4,2,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[5,2,4,7,6,1,3] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,4,7,6,3,1] => [1,5,6,3,4,7,2] => [7,4,5,2,3,6,1] => {{1,7},{2,4},{3,5},{6}} => 1
[5,2,6,1,3,4,7] => [1,5,3,6,4,2,7] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,2,6,1,3,7,4] => [1,5,3,6,7,4,2] => [7,3,6,2,4,5,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,6,1,4,3,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,6,1,4,7,3] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,6,1,7,3,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,2,6,1,7,4,3] => [1,5,7,3,6,4,2] => [7,4,6,2,5,3,1] => {{1,7},{2,4},{3,6},{5}} => 1
[5,2,6,3,1,4,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,2,6,3,1,7,4] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,2,6,3,4,1,7] => [1,5,4,3,6,2,7] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[5,2,6,3,4,7,1] => [1,5,4,3,6,7,2] => [7,4,3,2,5,6,1] => {{1,7},{2,4},{3},{5},{6}} => 3
[5,2,6,3,7,1,4] => [1,5,7,4,3,6,2] => [7,5,4,2,6,3,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,6,3,7,4,1] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,6,4,1,3,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,2,6,4,1,7,3] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,2,6,4,3,1,7] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,6,4,3,7,1] => [1,5,3,6,7,2,4] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,6,4,7,1,3] => [1,5,7,3,6,2,4] => [6,4,7,2,5,3,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,2,6,4,7,3,1] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,6,7,1,3,4] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,2,6,7,1,4,3] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,2,6,7,3,1,4] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,6,7,3,4,1] => [1,5,3,6,4,7,2] => [7,3,5,2,4,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[5,2,6,7,4,1,3] => [1,5,4,7,3,6,2] => [7,5,3,2,6,4,1] => {{1,7},{2,4,5,6},{3}} => 1
[5,2,6,7,4,3,1] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,2,7,1,3,4,6] => [1,5,3,7,6,4,2] => [7,3,6,2,5,4,1] => {{1,7},{2,3,4,6},{5}} => 1
[5,2,7,1,3,6,4] => [1,5,3,7,4,2,6] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,7,1,4,3,6] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,2,7,1,4,6,3] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,2,7,1,6,3,4] => [1,5,6,3,7,4,2] => [7,4,6,2,3,5,1] => {{1,7},{2,4},{3,5,6}} => 0
[5,2,7,1,6,4,3] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,2,7,3,1,4,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,2,7,3,1,6,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,7,3,4,1,6] => [1,5,4,3,7,6,2] => [7,4,3,2,6,5,1] => {{1,7},{2,4},{3},{5,6}} => 1
[5,2,7,3,4,6,1] => [1,5,4,3,7,2,6] => [6,4,3,2,7,5,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,2,7,3,6,1,4] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,2,7,3,6,4,1] => [1,5,6,4,3,7,2] => [7,5,4,2,3,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[5,2,7,4,1,3,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,2,7,4,1,6,3] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,7,4,3,1,6] => [1,5,3,7,6,2,4] => [6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,2,7,4,3,6,1] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,2,7,4,6,1,3] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,2,7,4,6,3,1] => [1,5,6,3,7,2,4] => [6,4,7,2,3,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,7,6,1,3,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,7,6,1,4,3] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,2,7,6,3,1,4] => [1,5,3,7,4,6,2] => [7,3,5,2,6,4,1] => {{1,7},{2,3,4,5,6}} => 0
[5,2,7,6,3,4,1] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,2,7,6,4,1,3] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,2,7,6,4,3,1] => [1,5,4,6,3,7,2] => [7,5,3,2,4,6,1] => {{1,7},{2,4,5},{3},{6}} => 2
[5,3,1,2,4,6,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,1,2,4,7,6] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,1,2,6,4,7] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,1,2,6,7,4] => [1,5,6,7,4,2,3] => [6,7,5,2,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[5,3,1,2,7,4,6] => [1,5,7,6,4,2,3] => [6,7,5,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,1,2,7,6,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,3,1,4,2,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,1,4,2,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,1,4,6,2,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,1,4,6,7,2] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,3,1,4,7,2,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,1,4,7,6,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,1,6,2,4,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,1,6,2,7,4] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,1,6,4,2,7] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,1,6,4,7,2] => [1,5,4,6,7,2,3] => [6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,1,6,7,2,4] => [1,5,7,4,6,2,3] => [6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,3,1,6,7,4,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,1,7,2,4,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,1,7,2,6,4] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,1,7,4,2,6] => [1,5,4,7,6,2,3] => [6,7,3,2,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,3,1,7,4,6,2] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,3,1,7,6,2,4] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,1,7,6,4,2] => [1,5,6,4,7,2,3] => [6,7,4,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,1,4,6,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,2,1,4,7,6] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,2,1,6,4,7] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,1,6,7,4] => [1,5,6,7,4,2,3] => [6,7,5,2,3,4,1] => {{1,2,4,6,7},{3,5}} => 0
[5,3,2,1,7,4,6] => [1,5,7,6,4,2,3] => [6,7,5,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,1,7,6,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,3,2,4,1,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,2,4,1,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,2,4,6,1,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,4,6,7,1] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,3,2,4,7,1,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,4,7,6,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,2,6,1,4,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,2,6,1,7,4] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,2,6,4,1,7] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,2,6,4,7,1] => [1,5,4,6,7,2,3] => [6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,2,6,7,1,4] => [1,5,7,4,6,2,3] => [6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,3,2,6,7,4,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,2,7,1,4,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,2,7,1,6,4] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,2,7,4,1,6] => [1,5,4,7,6,2,3] => [6,7,3,2,5,4,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,3,2,7,4,6,1] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,3,2,7,6,1,4] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,2,7,6,4,1] => [1,5,6,4,7,2,3] => [6,7,4,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,1,2,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,1,2,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,1,6,2,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,1,6,7,2] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,3,4,1,7,2,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,1,7,6,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,4,2,1,6,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,2,1,7,6] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,2,6,1,7] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,2,6,7,1] => [1,5,6,7,2,3,4] => [5,6,7,2,3,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,3,4,2,7,1,6] => [1,5,7,6,2,3,4] => [5,6,7,2,4,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,2,7,6,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,4,6,1,2,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,6,1,7,2] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,6,2,1,7] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,6,2,7,1] => [1,5,2,3,4,6,7] => [3,4,5,2,6,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,4,6,7,1,2] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,4,6,7,2,1] => [1,5,7,2,3,4,6] => [4,5,6,2,7,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,3,4,7,1,2,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,4,7,1,6,2] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,4,7,2,1,6] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,4,7,2,6,1] => [1,5,2,3,4,7,6] => [3,4,5,2,7,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,3,4,7,6,1,2] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,4,7,6,2,1] => [1,5,6,2,3,4,7] => [4,5,6,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,6,1,2,4,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,1,2,7,4] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,3,6,1,4,2,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,6,1,4,7,2] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,6,1,7,2,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,3,6,1,7,4,2] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,6,2,1,4,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,2,1,7,4] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,3,6,2,4,1,7] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,6,2,4,7,1] => [1,5,4,2,3,6,7] => [4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,6,2,7,1,4] => [1,5,7,4,2,3,6] => [5,6,4,2,7,3,1] => {{1,5,7},{2,3,4,6}} => 0
[5,3,6,2,7,4,1] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,6,4,1,2,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,4,1,7,2] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,3,6,4,2,1,7] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,4,2,7,1] => [1,5,2,3,6,7,4] => [3,4,7,2,5,6,1] => {{1,3,7},{2,4},{5},{6}} => 2
[5,3,6,4,7,1,2] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,6,4,7,2,1] => [1,5,7,2,3,6,4] => [4,5,7,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,6,7,1,2,4] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,7,1,4,2] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,7,2,1,4] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,7,2,4,1] => [1,5,2,3,6,4,7] => [3,4,6,2,5,7,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,3,6,7,4,1,2] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,3,6,7,4,2,1] => [1,5,4,7,2,3,6] => [5,6,3,2,7,4,1] => {{1,5,7},{2,4,6},{3}} => 1
[5,3,7,1,2,4,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,3,7,1,2,6,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,1,4,2,6] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,3,7,1,4,6,2] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,3,7,1,6,2,4] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,3,7,1,6,4,2] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,7,2,1,4,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,3,7,2,1,6,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,2,4,1,6] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,3,7,2,4,6,1] => [1,5,4,2,3,7,6] => [4,5,3,2,7,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,3,7,2,6,1,4] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,3,7,2,6,4,1] => [1,5,6,4,2,3,7] => [5,6,4,2,3,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,3,7,4,1,2,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,3,7,4,1,6,2] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,4,2,1,6] => [1,5,2,3,7,6,4] => [3,4,7,2,6,5,1] => {{1,3,7},{2,4},{5,6}} => 0
[5,3,7,4,2,6,1] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,4,6,1,2] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,3,7,4,6,2,1] => [1,5,6,2,3,7,4] => [4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,3,7,6,1,2,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,6,1,4,2] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,6,2,1,4] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,6,2,4,1] => [1,5,2,3,7,4,6] => [3,4,6,2,7,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,3,7,6,4,1,2] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,3,7,6,4,2,1] => [1,5,4,6,2,3,7] => [5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => 1
[5,4,1,2,3,6,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,2,3,7,6] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,2,6,3,7] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,1,2,6,7,3] => [1,5,6,7,3,2,4] => [6,5,7,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,2,7,3,6] => [1,5,7,6,3,2,4] => [6,5,7,2,4,3,1] => {{1,3,6,7},{2,4,5}} => 0
[5,4,1,2,7,6,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,4,1,3,2,6,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,3,2,7,6] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,3,6,2,7] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,1,3,6,7,2] => [1,5,6,7,2,4,3] => [5,7,6,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,3,7,2,6] => [1,5,7,6,2,4,3] => [5,7,6,2,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,4,1,3,7,6,2] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,6,2,3,7] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,1,6,2,7,3] => [1,5,2,4,6,7,3] => [3,7,4,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,4,1,6,3,2,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,6,3,7,2] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,6,7,2,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,4,1,6,7,3,2] => [1,5,7,2,4,6,3] => [4,7,5,2,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[5,4,1,7,2,3,6] => [1,5,2,4,7,6,3] => [3,7,4,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,4,1,7,2,6,3] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,1,7,3,2,6] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,1,7,3,6,2] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,1,7,6,2,3] => [1,5,6,2,4,7,3] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[5,4,1,7,6,3,2] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,2,1,3,6,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,1,3,7,6] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,1,6,3,7] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,2,1,6,7,3] => [1,5,6,7,3,2,4] => [6,5,7,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,1,7,3,6] => [1,5,7,6,3,2,4] => [6,5,7,2,4,3,1] => {{1,3,6,7},{2,4,5}} => 0
[5,4,2,1,7,6,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,4,2,3,1,6,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,3,1,7,6] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,3,6,1,7] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,2,3,6,7,1] => [1,5,6,7,2,4,3] => [5,7,6,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,3,7,1,6] => [1,5,7,6,2,4,3] => [5,7,6,2,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,4,2,3,7,6,1] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,6,1,3,7] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,2,6,1,7,3] => [1,5,2,4,6,7,3] => [3,7,4,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,4,2,6,3,1,7] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,6,3,7,1] => [1,5,3,2,4,6,7] => [4,3,5,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,6,7,1,3] => [1,5,7,3,2,4,6] => [5,4,6,2,7,3,1] => {{1,5,7},{2,4},{3,6}} => 0
[5,4,2,6,7,3,1] => [1,5,7,2,4,6,3] => [4,7,5,2,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[5,4,2,7,1,3,6] => [1,5,2,4,7,6,3] => [3,7,4,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,4,2,7,1,6,3] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,2,7,3,1,6] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,2,7,3,6,1] => [1,5,3,2,4,7,6] => [4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,2,7,6,1,3] => [1,5,6,2,4,7,3] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[5,4,2,7,6,3,1] => [1,5,6,3,2,4,7] => [5,4,6,2,3,7,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,3,1,2,6,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,1,2,7,6] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,1,6,2,7] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,3,1,6,7,2] => [1,5,6,7,2,4,3] => [5,7,6,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,1,7,2,6] => [1,5,7,6,2,4,3] => [5,7,6,2,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,4,3,1,7,6,2] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,2,1,6,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,2,1,7,6] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,2,6,1,7] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,3,2,6,7,1] => [1,5,6,7,2,4,3] => [5,7,6,2,3,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,2,7,1,6] => [1,5,7,6,2,4,3] => [5,7,6,2,4,3,1] => {{1,2,4,5,7},{3,6}} => 0
[5,4,3,2,7,6,1] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,6,1,2,7] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,3,6,1,7,2] => [1,5,2,4,6,7,3] => [3,7,4,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,4,3,6,2,1,7] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,3,6,2,7,1] => [1,5,2,4,6,7,3] => [3,7,4,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,4,3,6,7,1,2] => [1,5,7,2,4,6,3] => [4,7,5,2,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[5,4,3,6,7,2,1] => [1,5,7,2,4,6,3] => [4,7,5,2,6,3,1] => {{1,2,4,7},{3,5,6}} => 0
[5,4,3,7,1,2,6] => [1,5,2,4,7,6,3] => [3,7,4,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,4,3,7,1,6,2] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,7,2,1,6] => [1,5,2,4,7,6,3] => [3,7,4,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,4,3,7,2,6,1] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,3,7,6,1,2] => [1,5,6,2,4,7,3] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[5,4,3,7,6,2,1] => [1,5,6,2,4,7,3] => [4,7,5,2,3,6,1] => {{1,2,4,7},{3,5},{6}} => 1
[5,4,6,1,2,3,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,1,2,7,3] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,1,3,2,7] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,1,3,7,2] => [1,5,3,6,7,2,4] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,1,7,2,3] => [1,5,7,3,6,2,4] => [6,4,7,2,5,3,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,4,6,1,7,3,2] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,2,1,3,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,2,1,7,3] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,2,3,1,7] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,2,3,7,1] => [1,5,3,6,7,2,4] => [6,3,7,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,2,7,1,3] => [1,5,7,3,6,2,4] => [6,4,7,2,5,3,1] => {{1,3,6,7},{2,4},{5}} => 1
[5,4,6,2,7,3,1] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,1,2,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,1,7,2] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,2,1,7] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,2,7,1] => [1,5,2,4,3,6,7] => [3,5,4,2,6,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,7,1,2] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,3,7,2,1] => [1,5,7,2,4,3,6] => [4,6,5,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,1,2,3] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,1,3,2] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,2,1,3] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,2,3,1] => [1,5,2,4,7,3,6] => [3,6,4,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,3,1,2] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,6,7,3,2,1] => [1,5,3,6,2,4,7] => [5,3,6,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,4,7,1,2,3,6] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,1,2,6,3] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,1,3,2,6] => [1,5,3,7,6,2,4] => [6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,1,3,6,2] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,4,7,1,6,2,3] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,7,1,6,3,2] => [1,5,6,3,7,2,4] => [6,4,7,2,3,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,7,2,1,3,6] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,2,1,6,3] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,2,3,1,6] => [1,5,3,7,6,2,4] => [6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,2,3,6,1] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,4,7,2,6,1,3] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,7,2,6,3,1] => [1,5,6,3,7,2,4] => [6,4,7,2,3,5,1] => {{1,3,5,6,7},{2,4}} => 0
[5,4,7,3,1,2,6] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,3,1,6,2] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,3,2,1,6] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,3,2,6,1] => [1,5,2,4,3,7,6] => [3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,4,7,3,6,1,2] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,7,3,6,2,1] => [1,5,6,2,4,3,7] => [4,6,5,2,3,7,1] => {{1,2,4,6,7},{3,5}} => 0
[5,4,7,6,1,2,3] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,6,1,3,2] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,6,2,1,3] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,6,2,3,1] => [1,5,2,4,6,3,7] => [3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,4,7,6,3,1,2] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,4,7,6,3,2,1] => [1,5,3,7,2,4,6] => [5,3,6,2,7,4,1] => {{1,5,7},{2,3,4,6}} => 0
[5,6,1,2,3,4,7] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,1,2,3,7,4] => [1,5,3,2,6,7,4] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,6,1,2,4,3,7] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,1,2,4,7,3] => [1,5,4,2,6,7,3] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[5,6,1,2,7,3,4] => [1,5,7,4,2,6,3] => [5,7,4,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,1,2,7,4,3] => [1,5,7,3,2,6,4] => [5,4,7,2,6,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,1,3,2,4,7] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,1,3,2,7,4] => [1,5,2,6,7,4,3] => [3,7,6,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,1,3,4,2,7] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,1,3,4,7,2] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,1,3,7,2,4] => [1,5,7,4,3,2,6] => [6,5,4,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,1,3,7,4,2] => [1,5,7,2,6,4,3] => [4,7,6,2,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[5,6,1,4,2,3,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,1,4,2,7,3] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,1,4,3,2,7] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,1,4,3,7,2] => [1,5,3,2,6,7,4] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,6,1,4,7,2,3] => [1,5,7,3,2,6,4] => [5,4,7,2,6,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,1,4,7,3,2] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,1,7,2,3,4] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,1,7,2,4,3] => [1,5,2,6,4,7,3] => [3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,6,1,7,3,2,4] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,1,7,3,4,2] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,1,7,4,2,3] => [1,5,4,7,3,2,6] => [6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,1,7,4,3,2] => [1,5,4,7,2,6,3] => [5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,2,1,3,4,7] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,2,1,3,7,4] => [1,5,3,2,6,7,4] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,6,2,1,4,3,7] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,2,1,4,7,3] => [1,5,4,2,6,7,3] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[5,6,2,1,7,3,4] => [1,5,7,4,2,6,3] => [5,7,4,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,2,1,7,4,3] => [1,5,7,3,2,6,4] => [5,4,7,2,6,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,2,3,1,4,7] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,2,3,1,7,4] => [1,5,2,6,7,4,3] => [3,7,6,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,2,3,4,1,7] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,2,3,4,7,1] => [1,5,4,3,2,6,7] => [5,4,3,2,6,7,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,2,3,7,1,4] => [1,5,7,4,3,2,6] => [6,5,4,2,7,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,2,3,7,4,1] => [1,5,7,2,6,4,3] => [4,7,6,2,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[5,6,2,4,1,3,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,2,4,1,7,3] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,2,4,3,1,7] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,2,4,3,7,1] => [1,5,3,2,6,7,4] => [4,3,7,2,5,6,1] => {{1,2,3,4,7},{5},{6}} => 2
[5,6,2,4,7,1,3] => [1,5,7,3,2,6,4] => [5,4,7,2,6,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,2,4,7,3,1] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,2,7,1,3,4] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,2,7,1,4,3] => [1,5,2,6,4,7,3] => [3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,6,2,7,3,1,4] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,2,7,3,4,1] => [1,5,3,2,6,4,7] => [4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,2,7,4,1,3] => [1,5,4,7,3,2,6] => [6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,2,7,4,3,1] => [1,5,4,7,2,6,3] => [5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,3,1,2,4,7] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,1,2,7,4] => [1,5,2,6,7,4,3] => [3,7,6,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,1,4,2,7] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,3,1,4,7,2] => [1,5,4,2,6,7,3] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[5,6,3,1,7,2,4] => [1,5,7,4,2,6,3] => [5,7,4,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,1,7,4,2] => [1,5,7,2,6,4,3] => [4,7,6,2,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[5,6,3,2,1,4,7] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,2,1,7,4] => [1,5,2,6,7,4,3] => [3,7,6,2,4,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,2,4,1,7] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,3,2,4,7,1] => [1,5,4,2,6,7,3] => [4,7,3,2,5,6,1] => {{1,2,4,7},{3},{5},{6}} => 3
[5,6,3,2,7,1,4] => [1,5,7,4,2,6,3] => [5,7,4,2,6,3,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,3,2,7,4,1] => [1,5,7,2,6,4,3] => [4,7,6,2,5,3,1] => {{1,2,4,7},{3,6},{5}} => 1
[5,6,3,4,1,2,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,3,4,1,7,2] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,3,4,2,1,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,3,4,2,7,1] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,3,4,7,1,2] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,3,4,7,2,1] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,3,7,1,2,4] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,3,7,1,4,2] => [1,5,2,6,4,7,3] => [3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,6,3,7,2,1,4] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,3,7,2,4,1] => [1,5,2,6,4,7,3] => [3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,6,3,7,4,1,2] => [1,5,4,7,2,6,3] => [5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,3,7,4,2,1] => [1,5,4,7,2,6,3] => [5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => 1
[5,6,4,1,2,3,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,1,2,7,3] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,4,1,3,2,7] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,4,1,3,7,2] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,4,1,7,2,3] => [1,5,7,3,4,2,6] => [6,4,5,2,7,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,4,1,7,3,2] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,4,2,1,3,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,2,1,7,3] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,4,2,3,1,7] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,4,2,3,7,1] => [1,5,3,4,2,6,7] => [5,3,4,2,6,7,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,4,2,7,1,3] => [1,5,7,3,4,2,6] => [6,4,5,2,7,3,1] => {{1,3,5,6,7},{2,4}} => 0
[5,6,4,2,7,3,1] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,4,3,1,2,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,3,1,7,2] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,4,3,2,1,7] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,3,2,7,1] => [1,5,2,6,7,3,4] => [3,6,7,2,4,5,1] => {{1,3,7},{2,4,5,6}} => 0
[5,6,4,3,7,1,2] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,4,3,7,2,1] => [1,5,7,2,6,3,4] => [4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => 1
[5,6,4,7,1,2,3] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,7,1,3,2] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,7,2,1,3] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,7,2,3,1] => [1,5,2,6,3,4,7] => [3,5,6,2,4,7,1] => {{1,3,6,7},{2,4,5}} => 0
[5,6,4,7,3,1,2] => [1,5,3,4,7,2,6] => [6,3,4,2,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,4,7,3,2,1] => [1,5,3,4,7,2,6] => [6,3,4,2,7,5,1] => {{1,5,6,7},{2,3,4}} => 0
[5,6,7,1,2,3,4] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,1,2,4,3] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,1,3,2,4] => [1,5,3,7,4,2,6] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,1,3,4,2] => [1,5,3,7,2,6,4] => [5,3,7,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,1,4,2,3] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,7,1,4,3,2] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,7,2,1,3,4] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,2,1,4,3] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,2,3,1,4] => [1,5,3,7,4,2,6] => [6,3,5,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,2,3,4,1] => [1,5,3,7,2,6,4] => [5,3,7,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,2,4,1,3] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,7,2,4,3,1] => [1,5,4,2,6,3,7] => [4,6,3,2,5,7,1] => {{1,2,4,6,7},{3},{5}} => 2
[5,6,7,3,1,2,4] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,3,1,4,2] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,3,2,1,4] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,3,2,4,1] => [1,5,2,6,4,3,7] => [3,6,5,2,4,7,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,3,4,1,2] => [1,5,4,3,7,2,6] => [6,4,3,2,7,5,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,7,3,4,2,1] => [1,5,4,3,7,2,6] => [6,4,3,2,7,5,1] => {{1,5,6,7},{2,4},{3}} => 1
[5,6,7,4,1,2,3] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,4,1,3,2] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,4,2,1,3] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,4,2,3,1] => [1,5,2,6,3,7,4] => [3,5,7,2,4,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[5,6,7,4,3,1,2] => [1,5,3,7,2,6,4] => [5,3,7,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,6,7,4,3,2,1] => [1,5,3,7,2,6,4] => [5,3,7,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,2,3,4,6] => [1,5,3,2,7,6,4] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,7,1,2,3,6,4] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,2,4,3,6] => [1,5,4,2,7,6,3] => [4,7,3,2,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[5,7,1,2,4,6,3] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,1,2,6,3,4] => [1,5,6,3,2,7,4] => [5,4,7,2,3,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,7,1,2,6,4,3] => [1,5,6,4,2,7,3] => [5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,1,3,2,4,6] => [1,5,2,7,6,4,3] => [3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,7,1,3,2,6,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,1,3,4,2,6] => [1,5,4,3,2,7,6] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => 2
[5,7,1,3,4,6,2] => [1,5,4,3,2,7,6] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => 2
[5,7,1,3,6,2,4] => [1,5,6,2,7,4,3] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[5,7,1,3,6,4,2] => [1,5,6,4,3,2,7] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,7,1,4,2,3,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,1,4,2,6,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,4,3,2,6] => [1,5,3,2,7,6,4] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,7,1,4,3,6,2] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,4,6,2,3] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,4,6,3,2] => [1,5,6,3,2,7,4] => [5,4,7,2,3,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,7,1,6,2,3,4] => [1,5,2,7,4,6,3] => [3,7,5,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,6,2,4,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,6,3,2,4] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,6,3,4,2] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,1,6,4,2,3] => [1,5,4,6,2,7,3] => [5,7,3,2,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,7,1,6,4,3,2] => [1,5,4,6,3,2,7] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[5,7,2,1,3,4,6] => [1,5,3,2,7,6,4] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,7,2,1,3,6,4] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,1,4,3,6] => [1,5,4,2,7,6,3] => [4,7,3,2,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[5,7,2,1,4,6,3] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,2,1,6,3,4] => [1,5,6,3,2,7,4] => [5,4,7,2,3,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,7,2,1,6,4,3] => [1,5,6,4,2,7,3] => [5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,2,3,1,4,6] => [1,5,2,7,6,4,3] => [3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,7,2,3,1,6,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,2,3,4,1,6] => [1,5,4,3,2,7,6] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => 2
[5,7,2,3,4,6,1] => [1,5,4,3,2,7,6] => [5,4,3,2,7,6,1] => {{1,5,7},{2,4},{3},{6}} => 2
[5,7,2,3,6,1,4] => [1,5,6,2,7,4,3] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[5,7,2,3,6,4,1] => [1,5,6,4,3,2,7] => [6,5,4,2,3,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,7,2,4,1,3,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,2,4,1,6,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,4,3,1,6] => [1,5,3,2,7,6,4] => [4,3,7,2,6,5,1] => {{1,2,3,4,7},{5,6}} => 0
[5,7,2,4,3,6,1] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,4,6,1,3] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,4,6,3,1] => [1,5,6,3,2,7,4] => [5,4,7,2,3,6,1] => {{1,3,5,7},{2,4},{6}} => 1
[5,7,2,6,1,3,4] => [1,5,2,7,4,6,3] => [3,7,5,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,6,1,4,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,6,3,1,4] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,6,3,4,1] => [1,5,3,2,7,4,6] => [4,3,6,2,7,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,2,6,4,1,3] => [1,5,4,6,2,7,3] => [5,7,3,2,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,7,2,6,4,3,1] => [1,5,4,6,3,2,7] => [6,5,3,2,4,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[5,7,3,1,2,4,6] => [1,5,2,7,6,4,3] => [3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,7,3,1,2,6,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,3,1,4,2,6] => [1,5,4,2,7,6,3] => [4,7,3,2,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[5,7,3,1,4,6,2] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,3,1,6,2,4] => [1,5,6,2,7,4,3] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[5,7,3,1,6,4,2] => [1,5,6,4,2,7,3] => [5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,3,2,1,4,6] => [1,5,2,7,6,4,3] => [3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => 1
[5,7,3,2,1,6,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,3,2,4,1,6] => [1,5,4,2,7,6,3] => [4,7,3,2,6,5,1] => {{1,2,4,7},{3},{5,6}} => 1
[5,7,3,2,4,6,1] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,3,2,6,1,4] => [1,5,6,2,7,4,3] => [4,7,6,2,3,5,1] => {{1,2,4,7},{3,5,6}} => 0
[5,7,3,2,6,4,1] => [1,5,6,4,2,7,3] => [5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,3,4,1,2,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,3,4,1,6,2] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,4,2,1,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,3,4,2,6,1] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,4,6,1,2] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,4,6,2,1] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,6,1,2,4] => [1,5,2,7,4,6,3] => [3,7,5,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,6,1,4,2] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,6,2,1,4] => [1,5,2,7,4,6,3] => [3,7,5,2,6,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,6,2,4,1] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,3,6,4,1,2] => [1,5,4,6,2,7,3] => [5,7,3,2,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,7,3,6,4,2,1] => [1,5,4,6,2,7,3] => [5,7,3,2,4,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[5,7,4,1,2,3,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,4,1,2,6,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,1,3,2,6] => [1,5,3,4,2,7,6] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[5,7,4,1,3,6,2] => [1,5,3,4,2,7,6] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[5,7,4,1,6,2,3] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,1,6,3,2] => [1,5,6,3,4,2,7] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => 0
[5,7,4,2,1,3,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,4,2,1,6,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,2,3,1,6] => [1,5,3,4,2,7,6] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[5,7,4,2,3,6,1] => [1,5,3,4,2,7,6] => [5,3,4,2,7,6,1] => {{1,5,7},{2,3,4},{6}} => 1
[5,7,4,2,6,1,3] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,2,6,3,1] => [1,5,6,3,4,2,7] => [6,4,5,2,3,7,1] => {{1,6,7},{2,4},{3,5}} => 0
[5,7,4,3,1,2,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,4,3,1,6,2] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,3,2,1,6] => [1,5,2,7,6,3,4] => [3,6,7,2,5,4,1] => {{1,3,7},{2,4,6},{5}} => 1
[5,7,4,3,2,6,1] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,3,6,1,2] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,3,6,2,1] => [1,5,6,2,7,3,4] => [4,6,7,2,3,5,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,6,1,2,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,6,1,3,2] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,6,2,1,3] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,6,2,3,1] => [1,5,2,7,3,4,6] => [3,5,6,2,7,4,1] => {{1,2,3,4,5,6,7}} => 0
[5,7,4,6,3,1,2] => [1,5,3,4,6,2,7] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[5,7,4,6,3,2,1] => [1,5,3,4,6,2,7] => [6,3,4,2,5,7,1] => {{1,6,7},{2,3,4},{5}} => 1
[5,7,6,1,2,3,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,6,1,2,4,3] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,1,3,2,4] => [1,5,3,6,2,7,4] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,6,1,3,4,2] => [1,5,3,6,4,2,7] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,7,6,1,4,2,3] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,6,1,4,3,2] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,6,2,1,3,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,6,2,1,4,3] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,2,3,1,4] => [1,5,3,6,2,7,4] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,6,2,3,4,1] => [1,5,3,6,4,2,7] => [6,3,5,2,4,7,1] => {{1,6,7},{2,3,4,5}} => 0
[5,7,6,2,4,1,3] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,6,2,4,3,1] => [1,5,4,2,7,3,6] => [4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => 1
[5,7,6,3,1,2,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,6,3,1,4,2] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,3,2,1,4] => [1,5,2,7,4,3,6] => [3,6,5,2,7,4,1] => {{1,3,5,7},{2,4,6}} => 0
[5,7,6,3,2,4,1] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,3,4,1,2] => [1,5,4,3,6,2,7] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[5,7,6,3,4,2,1] => [1,5,4,3,6,2,7] => [6,4,3,2,5,7,1] => {{1,6,7},{2,4},{3},{5}} => 2
[5,7,6,4,1,2,3] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,4,1,3,2] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,4,2,1,3] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,4,2,3,1] => [1,5,2,7,3,6,4] => [3,5,7,2,6,4,1] => {{1,3,7},{2,4,5,6}} => 0
[5,7,6,4,3,1,2] => [1,5,3,6,2,7,4] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[5,7,6,4,3,2,1] => [1,5,3,6,2,7,4] => [5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,1,2,3,4,5,7] => [1,6,5,4,3,2,7] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0
[6,1,2,3,4,7,5] => [1,6,7,5,4,3,2] => [7,6,5,4,2,3,1] => {{1,7},{2,3,5,6},{4}} => 1
[6,1,2,3,5,4,7] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,2,3,5,7,4] => [1,6,7,4,3,2,5] => [6,5,4,7,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,2,3,7,4,5] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,2,3,7,5,4] => [1,6,5,7,4,3,2] => [7,6,5,3,2,4,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,2,4,3,5,7] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,2,4,3,7,5] => [1,6,7,5,3,2,4] => [6,5,7,4,2,3,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,1,2,4,5,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,1,2,4,5,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,1,2,4,7,3,5] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,1,2,4,7,5,3] => [1,6,5,7,3,2,4] => [6,5,7,3,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,2,5,3,4,7] => [1,6,4,5,3,2,7] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[6,1,2,5,3,7,4] => [1,6,7,4,5,3,2] => [7,6,4,5,2,3,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,2,5,4,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,1,2,5,4,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,1,2,5,7,3,4] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,1,2,5,7,4,3] => [1,6,4,5,7,3,2] => [7,6,3,4,2,5,1] => {{1,7},{2,5,6},{3},{4}} => 2
[6,1,2,7,3,4,5] => [1,6,4,7,5,3,2] => [7,6,3,5,2,4,1] => {{1,7},{2,4,5,6},{3}} => 1
[6,1,2,7,3,5,4] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,2,7,4,3,5] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,1,2,7,4,5,3] => [1,6,5,4,7,3,2] => [7,6,4,3,2,5,1] => {{1,7},{2,5,6},{3,4}} => 0
[6,1,2,7,5,3,4] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,1,2,7,5,4,3] => [1,6,4,7,3,2,5] => [6,5,3,7,2,4,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,1,3,2,4,5,7] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,1,3,2,4,7,5] => [1,6,7,5,4,2,3] => [6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,3,2,5,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,1,3,2,5,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,2,7,4,5] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,1,3,2,7,5,4] => [1,6,5,7,4,2,3] => [6,7,5,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,4,2,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,3,4,2,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,3,4,5,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,4,5,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,1,3,4,7,2,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,4,7,5,2] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,5,2,4,7] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,1,3,5,2,7,4] => [1,6,7,4,5,2,3] => [6,7,4,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,5,4,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,5,4,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,1,3,5,7,2,4] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,3,5,7,4,2] => [1,6,4,5,7,2,3] => [6,7,3,4,2,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,1,3,7,2,4,5] => [1,6,4,7,5,2,3] => [6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,3,7,2,5,4] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,3,7,4,2,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,1,3,7,4,5,2] => [1,6,5,4,7,2,3] => [6,7,4,3,2,5,1] => {{1,2,5,6,7},{3,4}} => 0
[6,1,3,7,5,2,4] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,1,3,7,5,4,2] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,4,2,3,5,7] => [1,6,5,3,4,2,7] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,1,4,2,3,7,5] => [1,6,7,5,3,4,2] => [7,5,6,4,2,3,1] => {{1,7},{2,5},{3,6},{4}} => 1
[6,1,4,2,5,3,7] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,2,5,7,3] => [1,6,7,3,4,2,5] => [6,4,5,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,2,7,3,5] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,2,7,5,3] => [1,6,5,7,3,4,2] => [7,5,6,3,2,4,1] => {{1,7},{2,5},{3,4,6}} => 0
[6,1,4,3,2,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,4,3,2,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,4,3,5,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,3,5,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,1,4,3,7,2,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,3,7,5,2] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,5,2,3,7] => [1,6,3,4,5,2,7] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,1,4,5,2,7,3] => [1,6,7,3,4,5,2] => [7,4,5,6,2,3,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,4,5,3,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,5,3,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,1,4,5,7,2,3] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,4,5,7,3,2] => [1,6,3,4,5,7,2] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[6,1,4,7,2,3,5] => [1,6,3,4,7,5,2] => [7,3,4,6,2,5,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,4,7,2,5,3] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,4,7,3,2,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,1,4,7,3,5,2] => [1,6,5,3,4,7,2] => [7,4,5,3,2,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[6,1,4,7,5,2,3] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,1,4,7,5,3,2] => [1,6,3,4,7,2,5] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,5,2,3,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,1,5,2,3,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,5,2,4,3,7] => [1,6,3,5,4,2,7] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[6,1,5,2,4,7,3] => [1,6,7,3,5,4,2] => [7,4,6,5,2,3,1] => {{1,7},{2,4,5},{3,6}} => 0
[6,1,5,2,7,3,4] => [1,6,3,5,7,4,2] => [7,3,6,4,2,5,1] => {{1,7},{2,3,5,6},{4}} => 1
[6,1,5,2,7,4,3] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,1,5,3,2,4,7] => [1,6,4,3,5,2,7] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[6,1,5,3,2,7,4] => [1,6,7,4,3,5,2] => [7,5,4,6,2,3,1] => {{1,7},{2,5},{3,4,6}} => 0
[6,1,5,3,4,2,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,1,5,3,4,7,2] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,5,3,7,2,4] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,1,5,3,7,4,2] => [1,6,4,3,5,7,2] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}} => 2
[6,1,5,4,2,3,7] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,5,4,2,7,3] => [1,6,7,3,5,2,4] => [6,4,7,5,2,3,1] => {{1,3,6,7},{2,4,5}} => 0
[6,1,5,4,3,2,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,1,5,4,3,7,2] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,1,5,4,7,2,3] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,1,5,4,7,3,2] => [1,6,3,5,7,2,4] => [6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,5,7,2,3,4] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,1,5,7,2,4,3] => [1,6,4,7,3,5,2] => [7,5,3,6,2,4,1] => {{1,7},{2,5},{3},{4,6}} => 1
[6,1,5,7,3,2,4] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,1,5,7,3,4,2] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,5,7,4,2,3] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,1,5,7,4,3,2] => [1,6,3,5,4,7,2] => [7,3,5,4,2,6,1] => {{1,7},{2,3,5},{4},{6}} => 2
[6,1,7,2,3,4,5] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,1,7,2,3,5,4] => [1,6,5,3,7,4,2] => [7,4,6,3,2,5,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,7,2,4,3,5] => [1,6,3,7,5,4,2] => [7,3,6,5,2,4,1] => {{1,7},{2,3,4,5,6}} => 0
[6,1,7,2,4,5,3] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,1,7,2,5,3,4] => [1,6,3,7,4,2,5] => [6,3,5,7,2,4,1] => {{1,4,6,7},{2,3,5}} => 0
[6,1,7,2,5,4,3] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,1,7,3,2,4,5] => [1,6,4,3,7,5,2] => [7,4,3,6,2,5,1] => {{1,7},{2,4,5,6},{3}} => 1
[6,1,7,3,2,5,4] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,1,7,3,4,2,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,1,7,3,4,5,2] => [1,6,5,4,3,7,2] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}} => 1
[6,1,7,3,5,2,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,3,5,4,2] => [1,6,4,3,7,2,5] => [6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,1,7,4,2,3,5] => [1,6,3,7,5,2,4] => [6,3,7,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,4,2,5,3] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,1,7,4,3,2,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,1,7,4,3,5,2] => [1,6,5,3,7,2,4] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,4,5,2,3] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,4,5,3,2] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,5,2,3,4] => [1,6,3,7,4,5,2] => [7,3,5,6,2,4,1] => {{1,7},{2,3,5},{4,6}} => 0
[6,1,7,5,2,4,3] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,1,7,5,3,2,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,5,3,4,2] => [1,6,4,5,3,7,2] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}} => 3
[6,1,7,5,4,2,3] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,1,7,5,4,3,2] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,1,3,4,5,7] => [1,6,5,4,3,2,7] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0
[6,2,1,3,4,7,5] => [1,6,7,5,4,3,2] => [7,6,5,4,2,3,1] => {{1,7},{2,3,5,6},{4}} => 1
[6,2,1,3,5,4,7] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,1,3,5,7,4] => [1,6,7,4,3,2,5] => [6,5,4,7,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,1,3,7,4,5] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,1,3,7,5,4] => [1,6,5,7,4,3,2] => [7,6,5,3,2,4,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,1,4,3,5,7] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,1,4,3,7,5] => [1,6,7,5,3,2,4] => [6,5,7,4,2,3,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,2,1,4,5,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,2,1,4,5,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,2,1,4,7,3,5] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,2,1,4,7,5,3] => [1,6,5,7,3,2,4] => [6,5,7,3,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,1,5,3,4,7] => [1,6,4,5,3,2,7] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[6,2,1,5,3,7,4] => [1,6,7,4,5,3,2] => [7,6,4,5,2,3,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,1,5,4,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,2,1,5,4,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,2,1,5,7,3,4] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,2,1,5,7,4,3] => [1,6,4,5,7,3,2] => [7,6,3,4,2,5,1] => {{1,7},{2,5,6},{3},{4}} => 2
[6,2,1,7,3,4,5] => [1,6,4,7,5,3,2] => [7,6,3,5,2,4,1] => {{1,7},{2,4,5,6},{3}} => 1
[6,2,1,7,3,5,4] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,1,7,4,3,5] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,2,1,7,4,5,3] => [1,6,5,4,7,3,2] => [7,6,4,3,2,5,1] => {{1,7},{2,5,6},{3,4}} => 0
[6,2,1,7,5,3,4] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,2,1,7,5,4,3] => [1,6,4,7,3,2,5] => [6,5,3,7,2,4,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,2,3,1,4,5,7] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,2,3,1,4,7,5] => [1,6,7,5,4,2,3] => [6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,3,1,5,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,2,3,1,5,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,1,7,4,5] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,2,3,1,7,5,4] => [1,6,5,7,4,2,3] => [6,7,5,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,4,1,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,3,4,1,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,3,4,5,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,4,5,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,2,3,4,7,1,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,4,7,5,1] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,5,1,4,7] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,2,3,5,1,7,4] => [1,6,7,4,5,2,3] => [6,7,4,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,5,4,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,5,4,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,2,3,5,7,1,4] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,3,5,7,4,1] => [1,6,4,5,7,2,3] => [6,7,3,4,2,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,2,3,7,1,4,5] => [1,6,4,7,5,2,3] => [6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,3,7,1,5,4] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,3,7,4,1,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,2,3,7,4,5,1] => [1,6,5,4,7,2,3] => [6,7,4,3,2,5,1] => {{1,2,5,6,7},{3,4}} => 0
[6,2,3,7,5,1,4] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,2,3,7,5,4,1] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,4,1,3,5,7] => [1,6,5,3,4,2,7] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,2,4,1,3,7,5] => [1,6,7,5,3,4,2] => [7,5,6,4,2,3,1] => {{1,7},{2,5},{3,6},{4}} => 1
[6,2,4,1,5,3,7] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,1,5,7,3] => [1,6,7,3,4,2,5] => [6,4,5,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,1,7,3,5] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,1,7,5,3] => [1,6,5,7,3,4,2] => [7,5,6,3,2,4,1] => {{1,7},{2,5},{3,4,6}} => 0
[6,2,4,3,1,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,4,3,1,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,4,3,5,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,3,5,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,2,4,3,7,1,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,3,7,5,1] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,5,1,3,7] => [1,6,3,4,5,2,7] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,2,4,5,1,7,3] => [1,6,7,3,4,5,2] => [7,4,5,6,2,3,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,4,5,3,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,5,3,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,2,4,5,7,1,3] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,4,5,7,3,1] => [1,6,3,4,5,7,2] => [7,3,4,5,2,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[6,2,4,7,1,3,5] => [1,6,3,4,7,5,2] => [7,3,4,6,2,5,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,4,7,1,5,3] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,4,7,3,1,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,2,4,7,3,5,1] => [1,6,5,3,4,7,2] => [7,4,5,3,2,6,1] => {{1,7},{2,3,4,5},{6}} => 1
[6,2,4,7,5,1,3] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,2,4,7,5,3,1] => [1,6,3,4,7,2,5] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,5,1,3,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,2,5,1,3,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,5,1,4,3,7] => [1,6,3,5,4,2,7] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[6,2,5,1,4,7,3] => [1,6,7,3,5,4,2] => [7,4,6,5,2,3,1] => {{1,7},{2,4,5},{3,6}} => 0
[6,2,5,1,7,3,4] => [1,6,3,5,7,4,2] => [7,3,6,4,2,5,1] => {{1,7},{2,3,5,6},{4}} => 1
[6,2,5,1,7,4,3] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,2,5,3,1,4,7] => [1,6,4,3,5,2,7] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[6,2,5,3,1,7,4] => [1,6,7,4,3,5,2] => [7,5,4,6,2,3,1] => {{1,7},{2,5},{3,4,6}} => 0
[6,2,5,3,4,1,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,2,5,3,4,7,1] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,5,3,7,1,4] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,2,5,3,7,4,1] => [1,6,4,3,5,7,2] => [7,4,3,5,2,6,1] => {{1,7},{2,4,5},{3},{6}} => 2
[6,2,5,4,1,3,7] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,5,4,1,7,3] => [1,6,7,3,5,2,4] => [6,4,7,5,2,3,1] => {{1,3,6,7},{2,4,5}} => 0
[6,2,5,4,3,1,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,2,5,4,3,7,1] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,2,5,4,7,1,3] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,2,5,4,7,3,1] => [1,6,3,5,7,2,4] => [6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,5,7,1,3,4] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,2,5,7,1,4,3] => [1,6,4,7,3,5,2] => [7,5,3,6,2,4,1] => {{1,7},{2,5},{3},{4,6}} => 1
[6,2,5,7,3,1,4] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,2,5,7,3,4,1] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,5,7,4,1,3] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,2,5,7,4,3,1] => [1,6,3,5,4,7,2] => [7,3,5,4,2,6,1] => {{1,7},{2,3,5},{4},{6}} => 2
[6,2,7,1,3,4,5] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,2,7,1,3,5,4] => [1,6,5,3,7,4,2] => [7,4,6,3,2,5,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,7,1,4,3,5] => [1,6,3,7,5,4,2] => [7,3,6,5,2,4,1] => {{1,7},{2,3,4,5,6}} => 0
[6,2,7,1,4,5,3] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,2,7,1,5,3,4] => [1,6,3,7,4,2,5] => [6,3,5,7,2,4,1] => {{1,4,6,7},{2,3,5}} => 0
[6,2,7,1,5,4,3] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,2,7,3,1,4,5] => [1,6,4,3,7,5,2] => [7,4,3,6,2,5,1] => {{1,7},{2,4,5,6},{3}} => 1
[6,2,7,3,1,5,4] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,2,7,3,4,1,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,2,7,3,4,5,1] => [1,6,5,4,3,7,2] => [7,5,4,3,2,6,1] => {{1,7},{2,5},{3,4},{6}} => 1
[6,2,7,3,5,1,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,3,5,4,1] => [1,6,4,3,7,2,5] => [6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,2,7,4,1,3,5] => [1,6,3,7,5,2,4] => [6,3,7,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,4,1,5,3] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,2,7,4,3,1,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,2,7,4,3,5,1] => [1,6,5,3,7,2,4] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,4,5,1,3] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,4,5,3,1] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,5,1,3,4] => [1,6,3,7,4,5,2] => [7,3,5,6,2,4,1] => {{1,7},{2,3,5},{4,6}} => 0
[6,2,7,5,1,4,3] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,2,7,5,3,1,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,5,3,4,1] => [1,6,4,5,3,7,2] => [7,5,3,4,2,6,1] => {{1,7},{2,5},{3},{4},{6}} => 3
[6,2,7,5,4,1,3] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,2,7,5,4,3,1] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,2,4,5,7] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,1,2,4,7,5] => [1,6,7,5,4,2,3] => [6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,1,2,5,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,1,2,5,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,2,7,4,5] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,1,2,7,5,4] => [1,6,5,7,4,2,3] => [6,7,5,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,4,2,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,1,4,2,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,1,4,5,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,4,5,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,1,4,7,2,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,4,7,5,2] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,5,2,4,7] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,1,5,2,7,4] => [1,6,7,4,5,2,3] => [6,7,4,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,5,4,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,5,4,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,1,5,7,2,4] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,1,5,7,4,2] => [1,6,4,5,7,2,3] => [6,7,3,4,2,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,1,7,2,4,5] => [1,6,4,7,5,2,3] => [6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,1,7,2,5,4] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,1,7,4,2,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,1,7,4,5,2] => [1,6,5,4,7,2,3] => [6,7,4,3,2,5,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,1,7,5,2,4] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,1,7,5,4,2] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,2,1,4,5,7] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,2,1,4,7,5] => [1,6,7,5,4,2,3] => [6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,2,1,5,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,2,1,5,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,1,7,4,5] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,2,1,7,5,4] => [1,6,5,7,4,2,3] => [6,7,5,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,4,1,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,2,4,1,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,2,4,5,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,4,5,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,2,4,7,1,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,4,7,5,1] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,5,1,4,7] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,2,5,1,7,4] => [1,6,7,4,5,2,3] => [6,7,4,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,5,4,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,5,4,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,2,5,7,1,4] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,2,5,7,4,1] => [1,6,4,5,7,2,3] => [6,7,3,4,2,5,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,2,7,1,4,5] => [1,6,4,7,5,2,3] => [6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,2,7,1,5,4] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,2,7,4,1,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,2,7,4,5,1] => [1,6,5,4,7,2,3] => [6,7,4,3,2,5,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,2,7,5,1,4] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,2,7,5,4,1] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,4,1,2,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,4,1,2,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,4,1,5,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,1,5,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,4,1,7,2,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,1,7,5,2] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,2,1,5,7] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,4,2,1,7,5] => [1,6,7,5,2,3,4] => [5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => 1
[6,3,4,2,5,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,2,5,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,4,2,7,1,5] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,2,7,5,1] => [1,6,5,7,2,3,4] => [5,6,7,3,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,5,1,2,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,5,1,7,2] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,4,5,2,1,7] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,5,2,7,1] => [1,6,7,2,3,4,5] => [4,5,6,7,2,3,1] => {{1,4,7},{2,5},{3,6}} => 0
[6,3,4,5,7,1,2] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,5,7,2,1] => [1,6,2,3,4,5,7] => [3,4,5,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,4,7,1,2,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,4,7,1,5,2] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,4,7,2,1,5] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,4,7,2,5,1] => [1,6,5,2,3,4,7] => [4,5,6,3,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,4,7,5,1,2] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,4,7,5,2,1] => [1,6,2,3,4,7,5] => [3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,3,5,1,2,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,5,1,2,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,5,1,4,2,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,1,4,7,2] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,5,1,7,2,4] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,3,5,1,7,4,2] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,5,2,1,4,7] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,5,2,1,7,4] => [1,6,7,4,2,3,5] => [5,6,4,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,5,2,4,1,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,2,4,7,1] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,5,2,7,1,4] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,3,5,2,7,4,1] => [1,6,4,2,3,5,7] => [4,5,3,6,2,7,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,3,5,4,1,2,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,4,1,7,2] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,5,4,2,1,7] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,4,2,7,1] => [1,6,7,2,3,5,4] => [4,5,7,6,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,3,5,4,7,1,2] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,3,5,4,7,2,1] => [1,6,2,3,5,7,4] => [3,4,7,5,2,6,1] => {{1,3,7},{2,4,5},{6}} => 1
[6,3,5,7,1,2,4] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,7,1,4,2] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,5,7,2,1,4] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,7,2,4,1] => [1,6,4,7,2,3,5] => [5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => 1
[6,3,5,7,4,1,2] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,5,7,4,2,1] => [1,6,2,3,5,4,7] => [3,4,6,5,2,7,1] => {{1,3,6,7},{2,4,5}} => 0
[6,3,7,1,2,4,5] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,3,7,1,2,5,4] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,3,7,1,4,2,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,3,7,1,4,5,2] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,7,1,5,2,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,1,5,4,2] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,3,7,2,1,4,5] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,3,7,2,1,5,4] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,3,7,2,4,1,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,3,7,2,4,5,1] => [1,6,5,4,2,3,7] => [5,6,4,3,2,7,1] => {{1,2,5,6,7},{3,4}} => 0
[6,3,7,2,5,1,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,2,5,4,1] => [1,6,4,2,3,7,5] => [4,5,3,7,2,6,1] => {{1,4,7},{2,5},{3},{6}} => 2
[6,3,7,4,1,2,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,3,7,4,1,5,2] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,3,7,4,2,1,5] => [1,6,2,3,7,5,4] => [3,4,7,6,2,5,1] => {{1,3,7},{2,4,5,6}} => 0
[6,3,7,4,2,5,1] => [1,6,5,2,3,7,4] => [4,5,7,3,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,3,7,4,5,1,2] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,4,5,2,1] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,5,1,2,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,5,1,4,2] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,7,5,2,1,4] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,5,2,4,1] => [1,6,4,5,2,3,7] => [5,6,3,4,2,7,1] => {{1,2,5,6,7},{3},{4}} => 2
[6,3,7,5,4,1,2] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,3,7,5,4,2,1] => [1,6,2,3,7,4,5] => [3,4,6,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,2,3,5,7] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,2,3,7,5] => [1,6,7,5,3,2,4] => [6,5,7,4,2,3,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,4,1,2,5,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,1,2,5,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,4,1,2,7,3,5] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,1,2,7,5,3] => [1,6,5,7,3,2,4] => [6,5,7,3,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,1,3,2,5,7] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,3,2,7,5] => [1,6,7,5,2,4,3] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[6,4,1,3,5,2,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,1,3,5,7,2] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,1,3,7,2,5] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,1,3,7,5,2] => [1,6,5,7,2,4,3] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}} => 0
[6,4,1,5,2,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,1,5,2,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,4,1,5,3,2,7] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,5,3,7,2] => [1,6,7,2,4,5,3] => [4,7,5,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,5,7,2,3] => [1,6,2,4,5,7,3] => [3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,1,5,7,3,2] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,1,7,2,3,5] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,4,1,7,2,5,3] => [1,6,5,2,4,7,3] => [4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,1,7,3,2,5] => [1,6,2,4,7,5,3] => [3,7,4,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,7,3,5,2] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,1,7,5,2,3] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,1,7,5,3,2] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,4,2,1,3,5,7] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,1,3,7,5] => [1,6,7,5,3,2,4] => [6,5,7,4,2,3,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,4,2,1,5,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,2,1,5,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,4,2,1,7,3,5] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,2,1,7,5,3] => [1,6,5,7,3,2,4] => [6,5,7,3,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,2,3,1,5,7] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,3,1,7,5] => [1,6,7,5,2,4,3] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[6,4,2,3,5,1,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,2,3,5,7,1] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,2,3,7,1,5] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,2,3,7,5,1] => [1,6,5,7,2,4,3] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}} => 0
[6,4,2,5,1,3,7] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,2,5,1,7,3] => [1,6,7,3,2,4,5] => [5,4,6,7,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,4,2,5,3,1,7] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,5,3,7,1] => [1,6,7,2,4,5,3] => [4,7,5,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,5,7,1,3] => [1,6,2,4,5,7,3] => [3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,2,5,7,3,1] => [1,6,3,2,4,5,7] => [4,3,5,6,2,7,1] => {{1,4,6,7},{2,3,5}} => 0
[6,4,2,7,1,3,5] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,4,2,7,1,5,3] => [1,6,5,2,4,7,3] => [4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,2,7,3,1,5] => [1,6,2,4,7,5,3] => [3,7,4,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,7,3,5,1] => [1,6,5,3,2,4,7] => [5,4,6,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,2,7,5,1,3] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,2,7,5,3,1] => [1,6,3,2,4,7,5] => [4,3,5,7,2,6,1] => {{1,4,7},{2,3,5},{6}} => 1
[6,4,3,1,2,5,7] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,1,2,7,5] => [1,6,7,5,2,4,3] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[6,4,3,1,5,2,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,3,1,5,7,2] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,3,1,7,2,5] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,3,1,7,5,2] => [1,6,5,7,2,4,3] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}} => 0
[6,4,3,2,1,5,7] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,2,1,7,5] => [1,6,7,5,2,4,3] => [5,7,6,4,2,3,1] => {{1,2,5,7},{3,6},{4}} => 1
[6,4,3,2,5,1,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,3,2,5,7,1] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,3,2,7,1,5] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,3,2,7,5,1] => [1,6,5,7,2,4,3] => [5,7,6,3,2,4,1] => {{1,2,5,7},{3,4,6}} => 0
[6,4,3,5,1,2,7] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,5,1,7,2] => [1,6,7,2,4,5,3] => [4,7,5,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,5,2,1,7] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,5,2,7,1] => [1,6,7,2,4,5,3] => [4,7,5,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,5,7,1,2] => [1,6,2,4,5,7,3] => [3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,3,5,7,2,1] => [1,6,2,4,5,7,3] => [3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,3,7,1,2,5] => [1,6,2,4,7,5,3] => [3,7,4,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,7,1,5,2] => [1,6,5,2,4,7,3] => [4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,3,7,2,1,5] => [1,6,2,4,7,5,3] => [3,7,4,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,3,7,2,5,1] => [1,6,5,2,4,7,3] => [4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,4,3,7,5,1,2] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,3,7,5,2,1] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,5,1,2,3,7] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,1,2,7,3] => [1,6,7,3,5,2,4] => [6,4,7,5,2,3,1] => {{1,3,6,7},{2,4,5}} => 0
[6,4,5,1,3,2,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,1,3,7,2] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,5,1,7,2,3] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,1,7,3,2] => [1,6,3,5,7,2,4] => [6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,2,1,3,7] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,2,1,7,3] => [1,6,7,3,5,2,4] => [6,4,7,5,2,3,1] => {{1,3,6,7},{2,4,5}} => 0
[6,4,5,2,3,1,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,2,3,7,1] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,5,2,7,1,3] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,2,7,3,1] => [1,6,3,5,7,2,4] => [6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,3,1,2,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,3,1,7,2] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,5,3,2,1,7] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,3,2,7,1] => [1,6,7,2,4,3,5] => [4,6,5,7,2,3,1] => {{1,4,7},{2,3,5,6}} => 0
[6,4,5,3,7,1,2] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,3,7,2,1] => [1,6,2,4,3,5,7] => [3,5,4,6,2,7,1] => {{1,3,4,6,7},{2,5}} => 0
[6,4,5,7,1,2,3] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,5,7,1,3,2] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,7,2,1,3] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,5,7,2,3,1] => [1,6,3,5,2,4,7] => [5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,4,5,7,3,1,2] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,5,7,3,2,1] => [1,6,2,4,7,3,5] => [3,6,4,7,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,4,7,1,2,3,5] => [1,6,3,7,5,2,4] => [6,3,7,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,1,2,5,3] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,1,3,2,5] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,1,3,5,2] => [1,6,5,3,7,2,4] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,1,5,2,3] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,1,5,3,2] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,2,1,3,5] => [1,6,3,7,5,2,4] => [6,3,7,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,2,1,5,3] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,2,3,1,5] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,2,3,5,1] => [1,6,5,3,7,2,4] => [6,4,7,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,2,5,1,3] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,2,5,3,1] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,3,1,2,5] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,3,1,5,2] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,3,2,1,5] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,3,2,5,1] => [1,6,5,2,4,3,7] => [4,6,5,3,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,3,5,1,2] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,3,5,2,1] => [1,6,2,4,3,7,5] => [3,5,4,7,2,6,1] => {{1,3,4,7},{2,5},{6}} => 1
[6,4,7,5,1,2,3] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,5,1,3,2] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,5,2,1,3] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,5,2,3,1] => [1,6,3,7,2,4,5] => [5,3,6,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,5,3,1,2] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,4,7,5,3,2,1] => [1,6,2,4,5,3,7] => [3,6,4,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,2,3,4,7] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,1,2,3,7,4] => [1,6,7,4,2,5,3] => [5,7,4,6,2,3,1] => {{1,2,5,7},{3,4,6}} => 0
[6,5,1,2,4,3,7] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,2,4,7,3] => [1,6,7,3,2,5,4] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,2,7,3,4] => [1,6,3,2,5,7,4] => [4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,5,1,2,7,4,3] => [1,6,4,2,5,7,3] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,5,1,3,2,4,7] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,1,3,2,7,4] => [1,6,7,4,3,2,5] => [6,5,4,7,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,5,1,3,4,2,7] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,1,3,4,7,2] => [1,6,7,2,5,4,3] => [4,7,6,5,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,5,1,3,7,2,4] => [1,6,2,5,7,4,3] => [3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,1,3,7,4,2] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,1,4,2,3,7] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,4,2,7,3] => [1,6,7,3,2,5,4] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,4,3,2,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,1,4,3,7,2] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,4,7,2,3] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,1,4,7,3,2] => [1,6,3,2,5,7,4] => [4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,5,1,7,2,3,4] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,1,7,2,4,3] => [1,6,4,7,3,2,5] => [6,5,3,7,2,4,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,5,1,7,3,2,4] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,1,7,3,4,2] => [1,6,4,7,2,5,3] => [5,7,3,6,2,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[6,5,1,7,4,2,3] => [1,6,2,5,4,7,3] => [3,7,5,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,5,1,7,4,3,2] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,1,3,4,7] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,2,1,3,7,4] => [1,6,7,4,2,5,3] => [5,7,4,6,2,3,1] => {{1,2,5,7},{3,4,6}} => 0
[6,5,2,1,4,3,7] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,1,4,7,3] => [1,6,7,3,2,5,4] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,1,7,3,4] => [1,6,3,2,5,7,4] => [4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,5,2,1,7,4,3] => [1,6,4,2,5,7,3] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,5,2,3,1,4,7] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,2,3,1,7,4] => [1,6,7,4,3,2,5] => [6,5,4,7,2,3,1] => {{1,3,4,6,7},{2,5}} => 0
[6,5,2,3,4,1,7] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,2,3,4,7,1] => [1,6,7,2,5,4,3] => [4,7,6,5,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,5,2,3,7,1,4] => [1,6,2,5,7,4,3] => [3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,2,3,7,4,1] => [1,6,4,3,2,5,7] => [5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,2,4,1,3,7] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,4,1,7,3] => [1,6,7,3,2,5,4] => [5,4,7,6,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,4,3,1,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,2,4,3,7,1] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,4,7,1,3] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,2,4,7,3,1] => [1,6,3,2,5,7,4] => [4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,5,2,7,1,3,4] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,2,7,1,4,3] => [1,6,4,7,3,2,5] => [6,5,3,7,2,4,1] => {{1,4,6,7},{2,5},{3}} => 1
[6,5,2,7,3,1,4] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,2,7,3,4,1] => [1,6,4,7,2,5,3] => [5,7,3,6,2,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[6,5,2,7,4,1,3] => [1,6,2,5,4,7,3] => [3,7,5,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,5,2,7,4,3,1] => [1,6,3,2,5,4,7] => [4,3,6,5,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,3,1,2,4,7] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,3,1,2,7,4] => [1,6,7,4,2,5,3] => [5,7,4,6,2,3,1] => {{1,2,5,7},{3,4,6}} => 0
[6,5,3,1,4,2,7] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,3,1,4,7,2] => [1,6,7,2,5,4,3] => [4,7,6,5,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,5,3,1,7,2,4] => [1,6,2,5,7,4,3] => [3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,3,1,7,4,2] => [1,6,4,2,5,7,3] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,5,3,2,1,4,7] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,3,2,1,7,4] => [1,6,7,4,2,5,3] => [5,7,4,6,2,3,1] => {{1,2,5,7},{3,4,6}} => 0
[6,5,3,2,4,1,7] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,3,2,4,7,1] => [1,6,7,2,5,4,3] => [4,7,6,5,2,3,1] => {{1,2,4,5,7},{3,6}} => 0
[6,5,3,2,7,1,4] => [1,6,2,5,7,4,3] => [3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,3,2,7,4,1] => [1,6,4,2,5,7,3] => [4,7,3,5,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,5,3,4,1,2,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,3,4,1,7,2] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,3,4,2,1,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,3,4,2,7,1] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,3,4,7,1,2] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,3,4,7,2,1] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,3,7,1,2,4] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,3,7,1,4,2] => [1,6,4,7,2,5,3] => [5,7,3,6,2,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[6,5,3,7,2,1,4] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,3,7,2,4,1] => [1,6,4,7,2,5,3] => [5,7,3,6,2,4,1] => {{1,2,5,7},{3},{4,6}} => 1
[6,5,3,7,4,1,2] => [1,6,2,5,4,7,3] => [3,7,5,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,5,3,7,4,2,1] => [1,6,2,5,4,7,3] => [3,7,5,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,5,4,1,2,3,7] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,1,2,7,3] => [1,6,7,3,4,2,5] => [6,4,5,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,1,3,2,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,1,3,7,2] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,1,7,2,3] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,4,1,7,3,2] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,2,1,3,7] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,2,1,7,3] => [1,6,7,3,4,2,5] => [6,4,5,7,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,2,3,1,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,2,3,7,1] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,2,7,1,3] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,4,2,7,3,1] => [1,6,3,4,2,5,7] => [5,3,4,6,2,7,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,3,1,2,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,3,1,7,2] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,3,2,1,7] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,3,2,7,1] => [1,6,7,2,5,3,4] => [4,6,7,5,2,3,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,3,7,1,2] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,4,3,7,2,1] => [1,6,2,5,7,3,4] => [3,6,7,4,2,5,1] => {{1,3,7},{2,5,6},{4}} => 1
[6,5,4,7,1,2,3] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,7,1,3,2] => [1,6,3,4,7,2,5] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,7,2,1,3] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,7,2,3,1] => [1,6,3,4,7,2,5] => [6,3,4,7,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,5,4,7,3,1,2] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,4,7,3,2,1] => [1,6,2,5,3,4,7] => [3,5,6,4,2,7,1] => {{1,3,6,7},{2,5},{4}} => 1
[6,5,7,1,2,3,4] => [1,6,3,7,4,2,5] => [6,3,5,7,2,4,1] => {{1,4,6,7},{2,3,5}} => 0
[6,5,7,1,2,4,3] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,1,3,2,4] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,1,3,4,2] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,1,4,2,3] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,7,1,4,3,2] => [1,6,3,7,2,5,4] => [5,3,7,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,5,7,2,1,3,4] => [1,6,3,7,4,2,5] => [6,3,5,7,2,4,1] => {{1,4,6,7},{2,3,5}} => 0
[6,5,7,2,1,4,3] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,2,3,1,4] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,2,3,4,1] => [1,6,4,2,5,3,7] => [4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,2,4,1,3] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,7,2,4,3,1] => [1,6,3,7,2,5,4] => [5,3,7,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,5,7,3,1,2,4] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,3,1,4,2] => [1,6,4,3,7,2,5] => [6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,3,2,1,4] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,3,2,4,1] => [1,6,4,3,7,2,5] => [6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,5,7,3,4,1,2] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,7,3,4,2,1] => [1,6,2,5,4,3,7] => [3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => 1
[6,5,7,4,1,2,3] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,4,1,3,2] => [1,6,3,7,2,5,4] => [5,3,7,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,5,7,4,2,1,3] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,4,2,3,1] => [1,6,3,7,2,5,4] => [5,3,7,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,5,7,4,3,1,2] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,5,7,4,3,2,1] => [1,6,2,5,3,7,4] => [3,5,7,4,2,6,1] => {{1,3,7},{2,5},{4},{6}} => 2
[6,7,1,2,3,4,5] => [1,6,4,2,7,5,3] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,7,1,2,3,5,4] => [1,6,5,3,2,7,4] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,1,2,4,3,5] => [1,6,3,2,7,5,4] => [4,3,7,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,1,2,4,5,3] => [1,6,5,4,2,7,3] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[6,7,1,2,5,3,4] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,1,2,5,4,3] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,1,3,2,4,5] => [1,6,4,3,2,7,5] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,7,1,3,2,5,4] => [1,6,5,2,7,4,3] => [4,7,6,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,1,3,4,2,5] => [1,6,2,7,5,4,3] => [3,7,6,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,1,3,4,5,2] => [1,6,5,4,3,2,7] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0
[6,7,1,3,5,2,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,1,3,5,4,2] => [1,6,4,3,2,7,5] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,7,1,4,2,3,5] => [1,6,3,2,7,5,4] => [4,3,7,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,1,4,2,5,3] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,1,4,3,2,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,1,4,3,5,2] => [1,6,5,3,2,7,4] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,1,4,5,2,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,1,4,5,3,2] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,1,5,2,3,4] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,1,5,2,4,3] => [1,6,4,5,2,7,3] => [5,7,3,4,2,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[6,7,1,5,3,2,4] => [1,6,2,7,4,5,3] => [3,7,5,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,7,1,5,3,4,2] => [1,6,4,5,3,2,7] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[6,7,1,5,4,2,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,1,5,4,3,2] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,2,1,3,4,5] => [1,6,4,2,7,5,3] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,7,2,1,3,5,4] => [1,6,5,3,2,7,4] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,2,1,4,3,5] => [1,6,3,2,7,5,4] => [4,3,7,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,2,1,4,5,3] => [1,6,5,4,2,7,3] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[6,7,2,1,5,3,4] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,2,1,5,4,3] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,2,3,1,4,5] => [1,6,4,3,2,7,5] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,7,2,3,1,5,4] => [1,6,5,2,7,4,3] => [4,7,6,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,2,3,4,1,5] => [1,6,2,7,5,4,3] => [3,7,6,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,2,3,4,5,1] => [1,6,5,4,3,2,7] => [6,5,4,3,2,7,1] => {{1,6,7},{2,5},{3,4}} => 0
[6,7,2,3,5,1,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,2,3,5,4,1] => [1,6,4,3,2,7,5] => [5,4,3,7,2,6,1] => {{1,2,4,5,7},{3},{6}} => 2
[6,7,2,4,1,3,5] => [1,6,3,2,7,5,4] => [4,3,7,6,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,2,4,1,5,3] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,2,4,3,1,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,2,4,3,5,1] => [1,6,5,3,2,7,4] => [5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,2,4,5,1,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,2,4,5,3,1] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,2,5,1,3,4] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,2,5,1,4,3] => [1,6,4,5,2,7,3] => [5,7,3,4,2,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[6,7,2,5,3,1,4] => [1,6,2,7,4,5,3] => [3,7,5,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,7,2,5,3,4,1] => [1,6,4,5,3,2,7] => [6,5,3,4,2,7,1] => {{1,6,7},{2,5},{3},{4}} => 2
[6,7,2,5,4,1,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,2,5,4,3,1] => [1,6,3,2,7,4,5] => [4,3,6,7,2,5,1] => {{1,4,7},{2,3,5,6}} => 0
[6,7,3,1,2,4,5] => [1,6,4,2,7,5,3] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,7,3,1,2,5,4] => [1,6,5,2,7,4,3] => [4,7,6,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,1,4,2,5] => [1,6,2,7,5,4,3] => [3,7,6,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,1,4,5,2] => [1,6,5,4,2,7,3] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[6,7,3,1,5,2,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,1,5,4,2] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,3,2,1,4,5] => [1,6,4,2,7,5,3] => [4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => 1
[6,7,3,2,1,5,4] => [1,6,5,2,7,4,3] => [4,7,6,3,2,5,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,2,4,1,5] => [1,6,2,7,5,4,3] => [3,7,6,5,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,2,4,5,1] => [1,6,5,4,2,7,3] => [5,7,4,3,2,6,1] => {{1,2,5,7},{3,4},{6}} => 1
[6,7,3,2,5,1,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,3,2,5,4,1] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,3,4,1,2,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,3,4,1,5,2] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,3,4,2,1,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,3,4,2,5,1] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,3,4,5,1,2] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,3,4,5,2,1] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,3,5,1,2,4] => [1,6,2,7,4,5,3] => [3,7,5,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,7,3,5,1,4,2] => [1,6,4,5,2,7,3] => [5,7,3,4,2,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[6,7,3,5,2,1,4] => [1,6,2,7,4,5,3] => [3,7,5,6,2,4,1] => {{1,2,3,5,7},{4,6}} => 0
[6,7,3,5,2,4,1] => [1,6,4,5,2,7,3] => [5,7,3,4,2,6,1] => {{1,2,5,7},{3},{4},{6}} => 3
[6,7,3,5,4,1,2] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,3,5,4,2,1] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,1,2,3,5] => [1,6,3,4,2,7,5] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,4,1,2,5,3] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,4,1,3,2,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,4,1,3,5,2] => [1,6,5,3,4,2,7] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,7,4,1,5,2,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,1,5,3,2] => [1,6,3,4,2,7,5] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,4,2,1,3,5] => [1,6,3,4,2,7,5] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,4,2,1,5,3] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,4,2,3,1,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,4,2,3,5,1] => [1,6,5,3,4,2,7] => [6,4,5,3,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,7,4,2,5,1,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,2,5,3,1] => [1,6,3,4,2,7,5] => [5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => 1
[6,7,4,3,1,2,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,4,3,1,5,2] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,4,3,2,1,5] => [1,6,2,7,5,3,4] => [3,6,7,5,2,4,1] => {{1,3,7},{2,4,5,6}} => 0
[6,7,4,3,2,5,1] => [1,6,5,2,7,3,4] => [4,6,7,3,2,5,1] => {{1,3,4,7},{2,5,6}} => 0
[6,7,4,3,5,1,2] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,3,5,2,1] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,5,1,2,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,5,1,3,2] => [1,6,3,4,5,2,7] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,7,4,5,2,1,3] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,5,2,3,1] => [1,6,3,4,5,2,7] => [6,3,4,5,2,7,1] => {{1,6,7},{2,3,4,5}} => 0
[6,7,4,5,3,1,2] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,4,5,3,2,1] => [1,6,2,7,3,4,5] => [3,5,6,7,2,4,1] => {{1,3,4,6,7},{2,5}} => 0
[6,7,5,1,2,3,4] => [1,6,3,5,2,7,4] => [5,3,7,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,7,5,1,2,4,3] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,5,1,3,2,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,5,1,3,4,2] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,5,1,4,2,3] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,1,4,3,2] => [1,6,3,5,4,2,7] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[6,7,5,2,1,3,4] => [1,6,3,5,2,7,4] => [5,3,7,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,7,5,2,1,4,3] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,5,2,3,1,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,5,2,3,4,1] => [1,6,4,2,7,3,5] => [4,6,3,7,2,5,1] => {{1,4,7},{2,5,6},{3}} => 1
[6,7,5,2,4,1,3] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,2,4,3,1] => [1,6,3,5,4,2,7] => [6,3,5,4,2,7,1] => {{1,6,7},{2,3,5},{4}} => 1
[6,7,5,3,1,2,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,5,3,1,4,2] => [1,6,4,3,5,2,7] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[6,7,5,3,2,1,4] => [1,6,2,7,4,3,5] => [3,6,5,7,2,4,1] => {{1,2,3,4,5,6,7}} => 0
[6,7,5,3,2,4,1] => [1,6,4,3,5,2,7] => [6,4,3,5,2,7,1] => {{1,6,7},{2,4,5},{3}} => 1
[6,7,5,3,4,1,2] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,3,4,2,1] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,4,1,2,3] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,4,1,3,2] => [1,6,3,5,2,7,4] => [5,3,7,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,7,5,4,2,1,3] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,4,2,3,1] => [1,6,3,5,2,7,4] => [5,3,7,4,2,6,1] => {{1,2,3,5,7},{4},{6}} => 2
[6,7,5,4,3,1,2] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[6,7,5,4,3,2,1] => [1,6,2,7,3,5,4] => [3,5,7,6,2,4,1] => {{1,3,7},{2,5},{4,6}} => 0
[7,1,2,3,4,5,6] => [1,7,6,5,4,3,2] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => 1
[7,1,2,3,4,6,5] => [1,7,5,4,3,2,6] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,1,2,3,5,4,6] => [1,7,6,4,3,2,5] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,3,5,6,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,1,2,3,6,4,5] => [1,7,5,6,4,3,2] => [7,6,5,3,4,2,1] => {{1,7},{2,6},{3,4,5}} => 0
[7,1,2,3,6,5,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,1,2,4,3,5,6] => [1,7,6,5,3,2,4] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,1,2,4,3,6,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,1,2,4,5,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,4,5,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,4,6,3,5] => [1,7,5,6,3,2,4] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,4,6,5,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,5,3,4,6] => [1,7,6,4,5,3,2] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}} => 0
[7,1,2,5,3,6,4] => [1,7,4,5,3,2,6] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,1,2,5,4,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,5,4,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,5,6,3,4] => [1,7,4,5,6,3,2] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}} => 3
[7,1,2,5,6,4,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,2,6,3,4,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,1,2,6,3,5,4] => [1,7,4,6,5,3,2] => [7,6,3,5,4,2,1] => {{1,7},{2,6},{3},{4,5}} => 1
[7,1,2,6,4,3,5] => [1,7,5,4,6,3,2] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}} => 1
[7,1,2,6,4,5,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,2,6,5,3,4] => [1,7,4,6,3,2,5] => [6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,2,6,5,4,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,3,2,4,5,6] => [1,7,6,5,4,2,3] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => 1
[7,1,3,2,4,6,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,1,3,2,5,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,1,3,2,5,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,3,2,6,4,5] => [1,7,5,6,4,2,3] => [6,7,5,3,4,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,1,3,2,6,5,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,3,4,2,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,1,3,4,2,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,3,4,5,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,3,4,5,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,3,4,6,2,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,1,3,4,6,5,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,3,5,2,4,6] => [1,7,6,4,5,2,3] => [6,7,4,5,3,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,1,3,5,2,6,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,1,3,5,4,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,3,5,4,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,3,5,6,2,4] => [1,7,4,5,6,2,3] => [6,7,3,4,5,2,1] => {{1,2,6,7},{3},{4},{5}} => 3
[7,1,3,5,6,4,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,3,6,2,4,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,3,6,2,5,4] => [1,7,4,6,5,2,3] => [6,7,3,5,4,2,1] => {{1,2,6,7},{3},{4,5}} => 1
[7,1,3,6,4,2,5] => [1,7,5,4,6,2,3] => [6,7,4,3,5,2,1] => {{1,2,6,7},{3,4},{5}} => 1
[7,1,3,6,4,5,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,3,6,5,2,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,1,3,6,5,4,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,2,3,5,6] => [1,7,6,5,3,4,2] => [7,5,6,4,3,2,1] => {{1,7},{2,3,5,6},{4}} => 1
[7,1,4,2,3,6,5] => [1,7,5,3,4,2,6] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,2,5,3,6] => [1,7,6,3,4,2,5] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,1,4,2,5,6,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,1,4,2,6,3,5] => [1,7,5,6,3,4,2] => [7,5,6,3,4,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,4,2,6,5,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,1,4,3,2,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,1,4,3,2,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,3,5,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,4,3,5,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,4,3,6,2,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,1,4,3,6,5,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,4,5,2,3,6] => [1,7,6,3,4,5,2] => [7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}} => 0
[7,1,4,5,2,6,3] => [1,7,3,4,5,2,6] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,5,3,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,1,4,5,3,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,4,5,6,2,3] => [1,7,3,4,5,6,2] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,4,5,6,3,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,1,4,6,2,3,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,6,2,5,3] => [1,7,3,4,6,5,2] => [7,3,4,6,5,2,1] => {{1,7},{2,3,4,6},{5}} => 1
[7,1,4,6,3,2,5] => [1,7,5,3,4,6,2] => [7,4,5,3,6,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,4,6,3,5,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,4,6,5,2,3] => [1,7,3,4,6,2,5] => [6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,1,4,6,5,3,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,2,3,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,1,5,2,3,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,5,2,4,3,6] => [1,7,6,3,5,4,2] => [7,4,6,5,3,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,5,2,4,6,3] => [1,7,3,5,4,2,6] => [6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,1,5,2,6,3,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,5,2,6,4,3] => [1,7,3,5,6,4,2] => [7,3,6,4,5,2,1] => {{1,7},{2,3,6},{4},{5}} => 2
[7,1,5,3,2,4,6] => [1,7,6,4,3,5,2] => [7,5,4,6,3,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,5,3,2,6,4] => [1,7,4,3,5,2,6] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,1,5,3,4,2,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,3,4,6,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,3,6,2,4] => [1,7,4,3,5,6,2] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}} => 1
[7,1,5,3,6,4,2] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,1,5,4,2,3,6] => [1,7,6,3,5,2,4] => [6,4,7,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,4,2,6,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,1,5,4,3,2,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,4,3,6,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,4,6,2,3] => [1,7,3,5,6,2,4] => [6,3,7,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,1,5,4,6,3,2] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,1,5,6,2,3,4] => [1,7,4,6,3,5,2] => [7,5,3,6,4,2,1] => {{1,7},{2,4,5,6},{3}} => 1
[7,1,5,6,2,4,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,1,5,6,3,2,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,1,5,6,3,4,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,5,6,4,2,3] => [1,7,3,5,4,6,2] => [7,3,5,4,6,2,1] => {{1,7},{2,3,5,6},{4}} => 1
[7,1,5,6,4,3,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,6,2,3,4,5] => [1,7,5,3,6,4,2] => [7,4,6,3,5,2,1] => {{1,7},{2,3,4,6},{5}} => 1
[7,1,6,2,3,5,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,1,6,2,4,3,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,1,6,2,4,5,3] => [1,7,3,6,5,4,2] => [7,3,6,5,4,2,1] => {{1,7},{2,3,6},{4,5}} => 0
[7,1,6,2,5,3,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,1,6,2,5,4,3] => [1,7,3,6,4,2,5] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,1,6,3,2,4,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,1,6,3,2,5,4] => [1,7,4,3,6,5,2] => [7,4,3,6,5,2,1] => {{1,7},{2,4,6},{3},{5}} => 2
[7,1,6,3,4,2,5] => [1,7,5,4,3,6,2] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}} => 0
[7,1,6,3,4,5,2] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,1,6,3,5,2,4] => [1,7,4,3,6,2,5] => [6,4,3,7,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,1,6,3,5,4,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,1,6,4,2,3,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,1,6,4,2,5,3] => [1,7,3,6,5,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,1,6,4,3,2,5] => [1,7,5,3,6,2,4] => [6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,1,6,4,3,5,2] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,1,6,4,5,2,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,1,6,4,5,3,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,1,6,5,2,3,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,1,6,5,2,4,3] => [1,7,3,6,4,5,2] => [7,3,5,6,4,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,1,6,5,3,2,4] => [1,7,4,5,3,6,2] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}} => 2
[7,1,6,5,3,4,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,1,6,5,4,2,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,1,6,5,4,3,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,1,3,4,5,6] => [1,7,6,5,4,3,2] => [7,6,5,4,3,2,1] => {{1,7},{2,6},{3,5},{4}} => 1
[7,2,1,3,4,6,5] => [1,7,5,4,3,2,6] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,2,1,3,5,4,6] => [1,7,6,4,3,2,5] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,3,5,6,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,2,1,3,6,4,5] => [1,7,5,6,4,3,2] => [7,6,5,3,4,2,1] => {{1,7},{2,6},{3,4,5}} => 0
[7,2,1,3,6,5,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,2,1,4,3,5,6] => [1,7,6,5,3,2,4] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,2,1,4,3,6,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,2,1,4,5,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,4,5,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,4,6,3,5] => [1,7,5,6,3,2,4] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,4,6,5,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,5,3,4,6] => [1,7,6,4,5,3,2] => [7,6,4,5,3,2,1] => {{1,7},{2,6},{3,4,5}} => 0
[7,2,1,5,3,6,4] => [1,7,4,5,3,2,6] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,2,1,5,4,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,5,4,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,5,6,3,4] => [1,7,4,5,6,3,2] => [7,6,3,4,5,2,1] => {{1,7},{2,6},{3},{4},{5}} => 3
[7,2,1,5,6,4,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,1,6,3,4,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,2,1,6,3,5,4] => [1,7,4,6,5,3,2] => [7,6,3,5,4,2,1] => {{1,7},{2,6},{3},{4,5}} => 1
[7,2,1,6,4,3,5] => [1,7,5,4,6,3,2] => [7,6,4,3,5,2,1] => {{1,7},{2,6},{3,4},{5}} => 1
[7,2,1,6,4,5,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,1,6,5,3,4] => [1,7,4,6,3,2,5] => [6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,1,6,5,4,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,3,1,4,5,6] => [1,7,6,5,4,2,3] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => 1
[7,2,3,1,4,6,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,2,3,1,5,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,2,3,1,5,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,3,1,6,4,5] => [1,7,5,6,4,2,3] => [6,7,5,3,4,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,2,3,1,6,5,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,3,4,1,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,2,3,4,1,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,3,4,5,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,3,4,5,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,3,4,6,1,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,2,3,4,6,5,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,3,5,1,4,6] => [1,7,6,4,5,2,3] => [6,7,4,5,3,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,2,3,5,1,6,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,2,3,5,4,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,3,5,4,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,3,5,6,1,4] => [1,7,4,5,6,2,3] => [6,7,3,4,5,2,1] => {{1,2,6,7},{3},{4},{5}} => 3
[7,2,3,5,6,4,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,3,6,1,4,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,3,6,1,5,4] => [1,7,4,6,5,2,3] => [6,7,3,5,4,2,1] => {{1,2,6,7},{3},{4,5}} => 1
[7,2,3,6,4,1,5] => [1,7,5,4,6,2,3] => [6,7,4,3,5,2,1] => {{1,2,6,7},{3,4},{5}} => 1
[7,2,3,6,4,5,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,3,6,5,1,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,2,3,6,5,4,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,1,3,5,6] => [1,7,6,5,3,4,2] => [7,5,6,4,3,2,1] => {{1,7},{2,3,5,6},{4}} => 1
[7,2,4,1,3,6,5] => [1,7,5,3,4,2,6] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,1,5,3,6] => [1,7,6,3,4,2,5] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,2,4,1,5,6,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,2,4,1,6,3,5] => [1,7,5,6,3,4,2] => [7,5,6,3,4,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,4,1,6,5,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,2,4,3,1,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,2,4,3,1,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,3,5,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,4,3,5,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,4,3,6,1,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,2,4,3,6,5,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,4,5,1,3,6] => [1,7,6,3,4,5,2] => [7,4,5,6,3,2,1] => {{1,7},{2,4,6},{3,5}} => 0
[7,2,4,5,1,6,3] => [1,7,3,4,5,2,6] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,5,3,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,2,4,5,3,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,4,5,6,1,3] => [1,7,3,4,5,6,2] => [7,3,4,5,6,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,4,5,6,3,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,2,4,6,1,3,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,6,1,5,3] => [1,7,3,4,6,5,2] => [7,3,4,6,5,2,1] => {{1,7},{2,3,4,6},{5}} => 1
[7,2,4,6,3,1,5] => [1,7,5,3,4,6,2] => [7,4,5,3,6,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,4,6,3,5,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,4,6,5,1,3] => [1,7,3,4,6,2,5] => [6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,4,6,5,3,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,1,3,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,2,5,1,3,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,5,1,4,3,6] => [1,7,6,3,5,4,2] => [7,4,6,5,3,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,5,1,4,6,3] => [1,7,3,5,4,2,6] => [6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,2,5,1,6,3,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,5,1,6,4,3] => [1,7,3,5,6,4,2] => [7,3,6,4,5,2,1] => {{1,7},{2,3,6},{4},{5}} => 2
[7,2,5,3,1,4,6] => [1,7,6,4,3,5,2] => [7,5,4,6,3,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,5,3,1,6,4] => [1,7,4,3,5,2,6] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,2,5,3,4,1,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,3,4,6,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,3,6,1,4] => [1,7,4,3,5,6,2] => [7,4,3,5,6,2,1] => {{1,7},{2,4,5,6},{3}} => 1
[7,2,5,3,6,4,1] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,2,5,4,1,3,6] => [1,7,6,3,5,2,4] => [6,4,7,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,4,1,6,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,2,5,4,3,1,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,4,3,6,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,4,6,1,3] => [1,7,3,5,6,2,4] => [6,3,7,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,2,5,4,6,3,1] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,2,5,6,1,3,4] => [1,7,4,6,3,5,2] => [7,5,3,6,4,2,1] => {{1,7},{2,4,5,6},{3}} => 1
[7,2,5,6,1,4,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,2,5,6,3,1,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,2,5,6,3,4,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,5,6,4,1,3] => [1,7,3,5,4,6,2] => [7,3,5,4,6,2,1] => {{1,7},{2,3,5,6},{4}} => 1
[7,2,5,6,4,3,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,6,1,3,4,5] => [1,7,5,3,6,4,2] => [7,4,6,3,5,2,1] => {{1,7},{2,3,4,6},{5}} => 1
[7,2,6,1,3,5,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,2,6,1,4,3,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,2,6,1,4,5,3] => [1,7,3,6,5,4,2] => [7,3,6,5,4,2,1] => {{1,7},{2,3,6},{4,5}} => 0
[7,2,6,1,5,3,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,2,6,1,5,4,3] => [1,7,3,6,4,2,5] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,2,6,3,1,4,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,2,6,3,1,5,4] => [1,7,4,3,6,5,2] => [7,4,3,6,5,2,1] => {{1,7},{2,4,6},{3},{5}} => 2
[7,2,6,3,4,1,5] => [1,7,5,4,3,6,2] => [7,5,4,3,6,2,1] => {{1,7},{2,5,6},{3,4}} => 0
[7,2,6,3,4,5,1] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,2,6,3,5,1,4] => [1,7,4,3,6,2,5] => [6,4,3,7,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,2,6,3,5,4,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,6,4,1,3,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,2,6,4,1,5,3] => [1,7,3,6,5,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,2,6,4,3,1,5] => [1,7,5,3,6,2,4] => [6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,6,4,3,5,1] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,2,6,4,5,1,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,2,6,4,5,3,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,6,5,1,3,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,2,6,5,1,4,3] => [1,7,3,6,4,5,2] => [7,3,5,6,4,2,1] => {{1,7},{2,3,4,5,6}} => 0
[7,2,6,5,3,1,4] => [1,7,4,5,3,6,2] => [7,5,3,4,6,2,1] => {{1,7},{2,5,6},{3},{4}} => 2
[7,2,6,5,3,4,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,2,6,5,4,1,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,2,6,5,4,3,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,1,2,4,5,6] => [1,7,6,5,4,2,3] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => 1
[7,3,1,2,4,6,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,3,1,2,5,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,1,2,5,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,1,2,6,4,5] => [1,7,5,6,4,2,3] => [6,7,5,3,4,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,3,1,2,6,5,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,1,4,2,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,3,1,4,2,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,1,4,5,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,1,4,5,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,1,4,6,2,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,1,4,6,5,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,1,5,2,4,6] => [1,7,6,4,5,2,3] => [6,7,4,5,3,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,3,1,5,2,6,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,3,1,5,4,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,1,5,4,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,1,5,6,2,4] => [1,7,4,5,6,2,3] => [6,7,3,4,5,2,1] => {{1,2,6,7},{3},{4},{5}} => 3
[7,3,1,5,6,4,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,1,6,2,4,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,1,6,2,5,4] => [1,7,4,6,5,2,3] => [6,7,3,5,4,2,1] => {{1,2,6,7},{3},{4,5}} => 1
[7,3,1,6,4,2,5] => [1,7,5,4,6,2,3] => [6,7,4,3,5,2,1] => {{1,2,6,7},{3,4},{5}} => 1
[7,3,1,6,4,5,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,1,6,5,2,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,3,1,6,5,4,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,2,1,4,5,6] => [1,7,6,5,4,2,3] => [6,7,5,4,3,2,1] => {{1,2,6,7},{3,5},{4}} => 1
[7,3,2,1,4,6,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,3,2,1,5,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,2,1,5,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,2,1,6,4,5] => [1,7,5,6,4,2,3] => [6,7,5,3,4,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,3,2,1,6,5,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,2,4,1,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,3,2,4,1,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,2,4,5,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,2,4,5,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,2,4,6,1,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,2,4,6,5,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,2,5,1,4,6] => [1,7,6,4,5,2,3] => [6,7,4,5,3,2,1] => {{1,2,6,7},{3,4,5}} => 0
[7,3,2,5,1,6,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,3,2,5,4,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,2,5,4,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,2,5,6,1,4] => [1,7,4,5,6,2,3] => [6,7,3,4,5,2,1] => {{1,2,6,7},{3},{4},{5}} => 3
[7,3,2,5,6,4,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,2,6,1,4,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,2,6,1,5,4] => [1,7,4,6,5,2,3] => [6,7,3,5,4,2,1] => {{1,2,6,7},{3},{4,5}} => 1
[7,3,2,6,4,1,5] => [1,7,5,4,6,2,3] => [6,7,4,3,5,2,1] => {{1,2,6,7},{3,4},{5}} => 1
[7,3,2,6,4,5,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,2,6,5,1,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,3,2,6,5,4,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,1,2,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,3,4,1,2,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,1,5,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,4,1,5,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,1,6,2,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,4,1,6,5,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,2,1,5,6] => [1,7,6,5,2,3,4] => [5,6,7,4,3,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,3,4,2,1,6,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,2,5,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,4,2,5,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,2,6,1,5] => [1,7,5,6,2,3,4] => [5,6,7,3,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,4,2,6,5,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,5,1,2,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,4,5,1,6,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,5,2,1,6] => [1,7,6,2,3,4,5] => [4,5,6,7,3,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,3,4,5,2,6,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,5,6,1,2] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,5,6,2,1] => [1,7,2,3,4,5,6] => [3,4,5,6,7,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,3,4,6,1,2,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,6,1,5,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,6,2,1,5] => [1,7,5,2,3,4,6] => [4,5,6,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,6,2,5,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,6,5,1,2] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,4,6,5,2,1] => [1,7,2,3,4,6,5] => [3,4,5,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,1,2,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,5,1,2,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,5,1,4,2,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,1,4,6,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,1,6,2,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,5,1,6,4,2] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,3,5,2,1,4,6] => [1,7,6,4,2,3,5] => [5,6,4,7,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,3,5,2,1,6,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,5,2,4,1,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,2,4,6,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,2,6,1,4] => [1,7,4,2,3,5,6] => [4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,3,5,2,6,4,1] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,3,5,4,1,2,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,4,1,6,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,4,2,1,6] => [1,7,6,2,3,5,4] => [4,5,7,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,4,2,6,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,4,6,1,2] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,3,5,4,6,2,1] => [1,7,2,3,5,6,4] => [3,4,7,5,6,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,3,5,6,1,2,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,3,5,6,1,4,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,6,2,1,4] => [1,7,4,6,2,3,5] => [5,6,3,7,4,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,3,5,6,2,4,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,6,4,1,2] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,5,6,4,2,1] => [1,7,2,3,5,4,6] => [3,4,6,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,3,6,1,2,4,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,3,6,1,2,5,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,3,6,1,4,2,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,3,6,1,4,5,2] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,3,6,1,5,2,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,3,6,1,5,4,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,2,1,4,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,3,6,2,1,5,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,3,6,2,4,1,5] => [1,7,5,4,2,3,6] => [5,6,4,3,7,2,1] => {{1,5,7},{2,6},{3,4}} => 0
[7,3,6,2,4,5,1] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,3,6,2,5,1,4] => [1,7,4,2,3,6,5] => [4,5,3,7,6,2,1] => {{1,4,7},{2,5,6},{3}} => 1
[7,3,6,2,5,4,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,4,1,2,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,3,6,4,1,5,2] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,3,6,4,2,1,5] => [1,7,5,2,3,6,4] => [4,5,7,3,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,3,6,4,2,5,1] => [1,7,2,3,6,5,4] => [3,4,7,6,5,2,1] => {{1,3,7},{2,4,6},{5}} => 1
[7,3,6,4,5,1,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,4,5,2,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,5,1,2,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,3,6,5,1,4,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,5,2,1,4] => [1,7,4,5,2,3,6] => [5,6,3,4,7,2,1] => {{1,5,7},{2,6},{3},{4}} => 2
[7,3,6,5,2,4,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,5,4,1,2] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,3,6,5,4,2,1] => [1,7,2,3,6,4,5] => [3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,1,2,3,5,6] => [1,7,6,5,3,2,4] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,1,2,3,6,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,4,1,2,5,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,2,5,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,2,6,3,5] => [1,7,5,6,3,2,4] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,2,6,5,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,3,2,5,6] => [1,7,6,5,2,4,3] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,1,3,2,6,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,1,3,5,2,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,1,3,5,6,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,3,6,2,5] => [1,7,5,6,2,4,3] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,3,6,5,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,5,2,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,5,2,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,5,3,2,6] => [1,7,6,2,4,5,3] => [4,7,5,6,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,4,1,5,3,6,2] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,1,5,6,2,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,5,6,3,2] => [1,7,2,4,5,6,3] => [3,7,4,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,6,2,3,5] => [1,7,5,2,4,6,3] => [4,7,5,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,1,6,2,5,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,4,1,6,3,2,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,4,1,6,3,5,2] => [1,7,2,4,6,5,3] => [3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,1,6,5,2,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,4,1,6,5,3,2] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,2,1,3,5,6] => [1,7,6,5,3,2,4] => [6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,2,1,3,6,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,4,2,1,5,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,1,5,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,1,6,3,5] => [1,7,5,6,3,2,4] => [6,5,7,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,1,6,5,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,3,1,5,6] => [1,7,6,5,2,4,3] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,2,3,1,6,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,2,3,5,1,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,2,3,5,6,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,3,6,1,5] => [1,7,5,6,2,4,3] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,3,6,5,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,5,1,3,6] => [1,7,6,3,2,4,5] => [5,4,6,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,5,1,6,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,5,3,1,6] => [1,7,6,2,4,5,3] => [4,7,5,6,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,4,2,5,3,6,1] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,2,5,6,1,3] => [1,7,3,2,4,5,6] => [4,3,5,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,5,6,3,1] => [1,7,2,4,5,6,3] => [3,7,4,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,6,1,3,5] => [1,7,5,2,4,6,3] => [4,7,5,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,2,6,1,5,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,4,2,6,3,1,5] => [1,7,5,3,2,4,6] => [5,4,6,3,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,4,2,6,3,5,1] => [1,7,2,4,6,5,3] => [3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,2,6,5,1,3] => [1,7,3,2,4,6,5] => [4,3,5,7,6,2,1] => {{1,4,7},{2,3,5,6}} => 0
[7,4,2,6,5,3,1] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,3,1,2,5,6] => [1,7,6,5,2,4,3] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,3,1,2,6,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,3,1,5,2,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,3,1,5,6,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,1,6,2,5] => [1,7,5,6,2,4,3] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,1,6,5,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,2,1,5,6] => [1,7,6,5,2,4,3] => [5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,4,3,2,1,6,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,3,2,5,1,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,3,2,5,6,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,2,6,1,5] => [1,7,5,6,2,4,3] => [5,7,6,3,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,2,6,5,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,5,1,2,6] => [1,7,6,2,4,5,3] => [4,7,5,6,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,4,3,5,1,6,2] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,3,5,2,1,6] => [1,7,6,2,4,5,3] => [4,7,5,6,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,4,3,5,2,6,1] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,3,5,6,1,2] => [1,7,2,4,5,6,3] => [3,7,4,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,5,6,2,1] => [1,7,2,4,5,6,3] => [3,7,4,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,6,1,2,5] => [1,7,5,2,4,6,3] => [4,7,5,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,6,1,5,2] => [1,7,2,4,6,5,3] => [3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,3,6,2,1,5] => [1,7,5,2,4,6,3] => [4,7,5,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,3,6,2,5,1] => [1,7,2,4,6,5,3] => [3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,3,6,5,1,2] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,3,6,5,2,1] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,5,1,2,3,6] => [1,7,6,3,5,2,4] => [6,4,7,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,1,2,6,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,4,5,1,3,2,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,5,1,3,6,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,1,6,2,3] => [1,7,3,5,6,2,4] => [6,3,7,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,4,5,1,6,3,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,2,1,3,6] => [1,7,6,3,5,2,4] => [6,4,7,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,2,1,6,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,4,5,2,3,1,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,5,2,3,6,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,2,6,1,3] => [1,7,3,5,6,2,4] => [6,3,7,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,4,5,2,6,3,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,3,1,2,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,5,3,1,6,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,3,2,1,6] => [1,7,6,2,4,3,5] => [4,6,5,7,3,2,1] => {{1,4,7},{2,6},{3,5}} => 0
[7,4,5,3,2,6,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,3,6,1,2] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,3,6,2,1] => [1,7,2,4,3,5,6] => [3,5,4,6,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,4,5,6,1,2,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,4,5,6,1,3,2] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,5,6,2,1,3] => [1,7,3,5,2,4,6] => [5,3,6,4,7,2,1] => {{1,5,7},{2,3,6},{4}} => 1
[7,4,5,6,2,3,1] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,5,6,3,1,2] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,5,6,3,2,1] => [1,7,2,4,6,3,5] => [3,6,4,7,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,4,6,1,2,3,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,1,2,5,3] => [1,7,3,6,5,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,4,6,1,3,2,5] => [1,7,5,3,6,2,4] => [6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,6,1,3,5,2] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,1,5,2,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,4,6,1,5,3,2] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,2,1,3,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,2,1,5,3] => [1,7,3,6,5,2,4] => [6,3,7,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,4,6,2,3,1,5] => [1,7,5,3,6,2,4] => [6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,4,6,2,3,5,1] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,2,5,1,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,4,6,2,5,3,1] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,3,1,2,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,3,1,5,2] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,3,2,1,5] => [1,7,5,2,4,3,6] => [4,6,5,3,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,3,2,5,1] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,3,5,1,2] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,3,5,2,1] => [1,7,2,4,3,6,5] => [3,5,4,7,6,2,1] => {{1,3,4,7},{2,5,6}} => 0
[7,4,6,5,1,2,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,4,6,5,1,3,2] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,5,2,1,3] => [1,7,3,6,2,4,5] => [5,3,6,7,4,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,4,6,5,2,3,1] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,5,3,1,2] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,4,6,5,3,2,1] => [1,7,2,4,5,3,6] => [3,6,4,5,7,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,1,2,3,4,6] => [1,7,6,4,2,5,3] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,1,2,3,6,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,1,2,4,3,6] => [1,7,6,3,2,5,4] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,5,1,2,4,6,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,1,2,6,3,4] => [1,7,4,2,5,6,3] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,1,2,6,4,3] => [1,7,3,2,5,6,4] => [4,3,7,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,1,3,2,4,6] => [1,7,6,4,3,2,5] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,1,3,2,6,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,5,1,3,4,2,6] => [1,7,6,2,5,4,3] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,1,3,4,6,2] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,1,3,6,2,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,5,1,3,6,4,2] => [1,7,2,5,6,4,3] => [3,7,6,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,5,1,4,2,3,6] => [1,7,6,3,2,5,4] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,5,1,4,2,6,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,1,4,3,2,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,1,4,3,6,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,1,4,6,2,3] => [1,7,3,2,5,6,4] => [4,3,7,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,1,4,6,3,2] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,1,6,2,3,4] => [1,7,4,6,3,2,5] => [6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,1,6,2,4,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,1,6,3,2,4] => [1,7,4,6,2,5,3] => [5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,1,6,3,4,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,1,6,4,2,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,1,6,4,3,2] => [1,7,2,5,4,6,3] => [3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,2,1,3,4,6] => [1,7,6,4,2,5,3] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,2,1,3,6,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,2,1,4,3,6] => [1,7,6,3,2,5,4] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,5,2,1,4,6,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,2,1,6,3,4] => [1,7,4,2,5,6,3] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,2,1,6,4,3] => [1,7,3,2,5,6,4] => [4,3,7,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,2,3,1,4,6] => [1,7,6,4,3,2,5] => [6,5,4,7,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,2,3,1,6,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,5,2,3,4,1,6] => [1,7,6,2,5,4,3] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,2,3,4,6,1] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,2,3,6,1,4] => [1,7,4,3,2,5,6] => [5,4,3,6,7,2,1] => {{1,5,7},{2,4,6},{3}} => 1
[7,5,2,3,6,4,1] => [1,7,2,5,6,4,3] => [3,7,6,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,5,2,4,1,3,6] => [1,7,6,3,2,5,4] => [5,4,7,6,3,2,1] => {{1,3,5,7},{2,4,6}} => 0
[7,5,2,4,1,6,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,2,4,3,1,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,2,4,3,6,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,2,4,6,1,3] => [1,7,3,2,5,6,4] => [4,3,7,5,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,2,4,6,3,1] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,2,6,1,3,4] => [1,7,4,6,3,2,5] => [6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,2,6,1,4,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,2,6,3,1,4] => [1,7,4,6,2,5,3] => [5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,2,6,3,4,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,2,6,4,1,3] => [1,7,3,2,5,4,6] => [4,3,6,5,7,2,1] => {{1,4,5,7},{2,3,6}} => 0
[7,5,2,6,4,3,1] => [1,7,2,5,4,6,3] => [3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,1,2,4,6] => [1,7,6,4,2,5,3] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,3,1,2,6,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,3,1,4,2,6] => [1,7,6,2,5,4,3] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,3,1,4,6,2] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,3,1,6,2,4] => [1,7,4,2,5,6,3] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,3,1,6,4,2] => [1,7,2,5,6,4,3] => [3,7,6,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,5,3,2,1,4,6] => [1,7,6,4,2,5,3] => [5,7,4,6,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,3,2,1,6,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,3,2,4,1,6] => [1,7,6,2,5,4,3] => [4,7,6,5,3,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,3,2,4,6,1] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,3,2,6,1,4] => [1,7,4,2,5,6,3] => [4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,3,2,6,4,1] => [1,7,2,5,6,4,3] => [3,7,6,4,5,2,1] => {{1,2,3,6,7},{4},{5}} => 2
[7,5,3,4,1,2,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,3,4,1,6,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,4,2,1,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,3,4,2,6,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,4,6,1,2] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,3,4,6,2,1] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,3,6,1,2,4] => [1,7,4,6,2,5,3] => [5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,3,6,1,4,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,6,2,1,4] => [1,7,4,6,2,5,3] => [5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,5,3,6,2,4,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,6,4,1,2] => [1,7,2,5,4,6,3] => [3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,3,6,4,2,1] => [1,7,2,5,4,6,3] => [3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,1,2,3,6] => [1,7,6,3,4,2,5] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,5,4,1,2,6,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,5,4,1,3,2,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,4,1,3,6,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,1,6,2,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,5,4,1,6,3,2] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,4,2,1,3,6] => [1,7,6,3,4,2,5] => [6,4,5,7,3,2,1] => {{1,2,4,6,7},{3,5}} => 0
[7,5,4,2,1,6,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,5,4,2,3,1,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,4,2,3,6,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,2,6,1,3] => [1,7,3,4,2,5,6] => [5,3,4,6,7,2,1] => {{1,5,7},{2,3,4,6}} => 0
[7,5,4,2,6,3,1] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,4,3,1,2,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,4,3,1,6,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,3,2,1,6] => [1,7,6,2,5,3,4] => [4,6,7,5,3,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,5,4,3,2,6,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,3,6,1,2] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,4,3,6,2,1] => [1,7,2,5,6,3,4] => [3,6,7,4,5,2,1] => {{1,3,7},{2,6},{4},{5}} => 2
[7,5,4,6,1,2,3] => [1,7,3,4,6,2,5] => [6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,5,4,6,1,3,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,6,2,1,3] => [1,7,3,4,6,2,5] => [6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,5,4,6,2,3,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,6,3,1,2] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,4,6,3,2,1] => [1,7,2,5,3,4,6] => [3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,5,6,1,2,3,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,6,1,2,4,3] => [1,7,3,6,4,2,5] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,1,3,2,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,6,1,3,4,2] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,1,4,2,3] => [1,7,3,6,2,5,4] => [5,3,7,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,1,4,3,2] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,6,2,1,3,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,6,2,1,4,3] => [1,7,3,6,4,2,5] => [6,3,5,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,2,3,1,4] => [1,7,4,2,5,3,6] => [4,6,3,5,7,2,1] => {{1,4,5,7},{2,6},{3}} => 1
[7,5,6,2,3,4,1] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,2,4,1,3] => [1,7,3,6,2,5,4] => [5,3,7,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,2,4,3,1] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,6,3,1,2,4] => [1,7,4,3,6,2,5] => [6,4,3,7,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,5,6,3,1,4,2] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,3,2,1,4] => [1,7,4,3,6,2,5] => [6,4,3,7,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,5,6,3,2,4,1] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,3,4,1,2] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,6,3,4,2,1] => [1,7,2,5,4,3,6] => [3,6,5,4,7,2,1] => {{1,3,5,7},{2,6},{4}} => 1
[7,5,6,4,1,2,3] => [1,7,3,6,2,5,4] => [5,3,7,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,4,1,3,2] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,4,2,1,3] => [1,7,3,6,2,5,4] => [5,3,7,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,5,6,4,2,3,1] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,4,3,1,2] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,5,6,4,3,2,1] => [1,7,2,5,3,6,4] => [3,5,7,4,6,2,1] => {{1,3,7},{2,5,6},{4}} => 1
[7,6,1,2,3,4,5] => [1,7,5,3,2,6,4] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,1,2,3,5,4] => [1,7,4,2,6,5,3] => [4,7,3,6,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,6,1,2,4,3,5] => [1,7,5,4,2,6,3] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,1,2,4,5,3] => [1,7,3,2,6,5,4] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,1,2,5,3,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,1,2,5,4,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,1,3,2,4,5] => [1,7,5,2,6,4,3] => [4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,1,3,2,5,4] => [1,7,4,3,2,6,5] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,1,3,4,2,5] => [1,7,5,4,3,2,6] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,1,3,4,5,2] => [1,7,2,6,5,4,3] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,6,1,3,5,2,4] => [1,7,4,3,2,6,5] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,1,3,5,4,2] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,1,4,2,3,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,1,4,2,5,3] => [1,7,3,2,6,5,4] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,1,4,3,2,5] => [1,7,5,3,2,6,4] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,1,4,3,5,2] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,1,4,5,2,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,1,4,5,3,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,1,5,2,3,4] => [1,7,4,5,2,6,3] => [5,7,3,4,6,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,1,5,2,4,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,1,5,3,2,4] => [1,7,4,5,3,2,6] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,1,5,3,4,2] => [1,7,2,6,4,5,3] => [3,7,5,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,1,5,4,2,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,1,5,4,3,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,2,1,3,4,5] => [1,7,5,3,2,6,4] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,2,1,3,5,4] => [1,7,4,2,6,5,3] => [4,7,3,6,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,6,2,1,4,3,5] => [1,7,5,4,2,6,3] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,2,1,4,5,3] => [1,7,3,2,6,5,4] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,2,1,5,3,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,2,1,5,4,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,2,3,1,4,5] => [1,7,5,2,6,4,3] => [4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,2,3,1,5,4] => [1,7,4,3,2,6,5] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,2,3,4,1,5] => [1,7,5,4,3,2,6] => [6,5,4,3,7,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,2,3,4,5,1] => [1,7,2,6,5,4,3] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,6,2,3,5,1,4] => [1,7,4,3,2,6,5] => [5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,2,3,5,4,1] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,2,4,1,3,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,2,4,1,5,3] => [1,7,3,2,6,5,4] => [4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,2,4,3,1,5] => [1,7,5,3,2,6,4] => [5,4,7,3,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,2,4,3,5,1] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,2,4,5,1,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,2,4,5,3,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,2,5,1,3,4] => [1,7,4,5,2,6,3] => [5,7,3,4,6,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,2,5,1,4,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,2,5,3,1,4] => [1,7,4,5,3,2,6] => [6,5,3,4,7,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,2,5,3,4,1] => [1,7,2,6,4,5,3] => [3,7,5,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,2,5,4,1,3] => [1,7,3,2,6,4,5] => [4,3,6,7,5,2,1] => {{1,4,7},{2,3,6},{5}} => 1
[7,6,2,5,4,3,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,1,2,4,5] => [1,7,5,2,6,4,3] => [4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,3,1,2,5,4] => [1,7,4,2,6,5,3] => [4,7,3,6,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,6,3,1,4,2,5] => [1,7,5,4,2,6,3] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,3,1,4,5,2] => [1,7,2,6,5,4,3] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,6,3,1,5,2,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,3,1,5,4,2] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,3,2,1,4,5] => [1,7,5,2,6,4,3] => [4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => 1
[7,6,3,2,1,5,4] => [1,7,4,2,6,5,3] => [4,7,3,6,5,2,1] => {{1,2,4,6,7},{3},{5}} => 2
[7,6,3,2,4,1,5] => [1,7,5,4,2,6,3] => [5,7,4,3,6,2,1] => {{1,2,5,6,7},{3,4}} => 0
[7,6,3,2,4,5,1] => [1,7,2,6,5,4,3] => [3,7,6,5,4,2,1] => {{1,2,3,6,7},{4,5}} => 0
[7,6,3,2,5,1,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,3,2,5,4,1] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,3,4,1,2,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,3,4,1,5,2] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,3,4,2,1,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,3,4,2,5,1] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,3,4,5,1,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,4,5,2,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,5,1,2,4] => [1,7,4,5,2,6,3] => [5,7,3,4,6,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,3,5,1,4,2] => [1,7,2,6,4,5,3] => [3,7,5,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,5,2,1,4] => [1,7,4,5,2,6,3] => [5,7,3,4,6,2,1] => {{1,2,5,6,7},{3},{4}} => 2
[7,6,3,5,2,4,1] => [1,7,2,6,4,5,3] => [3,7,5,6,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,5,4,1,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,3,5,4,2,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,1,2,3,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,4,1,2,5,3] => [1,7,3,4,2,6,5] => [5,3,4,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,1,3,2,5] => [1,7,5,3,4,2,6] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,1,3,5,2] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,4,1,5,2,3] => [1,7,3,4,2,6,5] => [5,3,4,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,1,5,3,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,2,1,3,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,4,2,1,5,3] => [1,7,3,4,2,6,5] => [5,3,4,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,2,3,1,5] => [1,7,5,3,4,2,6] => [6,4,5,3,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,2,3,5,1] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,4,2,5,1,3] => [1,7,3,4,2,6,5] => [5,3,4,7,6,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,2,5,3,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,3,1,2,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,4,3,1,5,2] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,4,3,2,1,5] => [1,7,5,2,6,3,4] => [4,6,7,3,5,2,1] => {{1,3,4,7},{2,6},{5}} => 1
[7,6,4,3,2,5,1] => [1,7,2,6,5,3,4] => [3,6,7,5,4,2,1] => {{1,3,7},{2,6},{4,5}} => 0
[7,6,4,3,5,1,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,3,5,2,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,1,2,3] => [1,7,3,4,5,2,6] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,1,3,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,2,1,3] => [1,7,3,4,5,2,6] => [6,3,4,5,7,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,2,3,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,3,1,2] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,4,5,3,2,1] => [1,7,2,6,3,4,5] => [3,5,6,7,4,2,1] => {{1,2,3,4,5,6,7}} => 0
[7,6,5,1,2,3,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,5,1,2,4,3] => [1,7,3,5,2,6,4] => [5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,1,3,2,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,5,1,3,4,2] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,5,1,4,2,3] => [1,7,3,5,4,2,6] => [6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,1,4,3,2] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,2,1,3,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,5,2,1,4,3] => [1,7,3,5,2,6,4] => [5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,2,3,1,4] => [1,7,4,2,6,3,5] => [4,6,3,7,5,2,1] => {{1,4,7},{2,6},{3},{5}} => 2
[7,6,5,2,3,4,1] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,5,2,4,1,3] => [1,7,3,5,4,2,6] => [6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,2,4,3,1] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,3,1,2,4] => [1,7,4,3,5,2,6] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,5,3,1,4,2] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,5,3,2,1,4] => [1,7,4,3,5,2,6] => [6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => 1
[7,6,5,3,2,4,1] => [1,7,2,6,4,3,5] => [3,6,5,7,4,2,1] => {{1,3,4,5,7},{2,6}} => 0
[7,6,5,3,4,1,2] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,3,4,2,1] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,4,1,2,3] => [1,7,3,5,2,6,4] => [5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,4,1,3,2] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,4,2,1,3] => [1,7,3,5,2,6,4] => [5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => 1
[7,6,5,4,2,3,1] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,4,3,1,2] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[7,6,5,4,3,2,1] => [1,7,2,6,3,5,4] => [3,5,7,6,4,2,1] => {{1,3,7},{2,4,5,6}} => 0
[8,7,6,5,4,3,2,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,4,3,2,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,5,4,3,2,1] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,4,3,2,1] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,5,6,4,3,2,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,6,4,3,2,1] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,7,4,3,2,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,8,4,3,2,1] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,7,6,4,5,3,2,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,4,5,3,2,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,4,5,3,2,1] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,4,5,3,2,1] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,4,5,6,3,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,6,7,3,2,1] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,7,5,4,8,3,2,1] => [1,6,3,5,8,2,7,4] => [6,3,8,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,5,8,3,2,1] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,3,4,2,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,3,4,2,1] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,6,3,4,2,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,6,3,4,2,1] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,3,4,2,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,7,8,3,4,2,1] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,7,8,3,4,2,1] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,4,3,6,2,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,4,3,6,2,1] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,3,6,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,3,4,6,2,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,3,4,6,2,1] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,3,5,6,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,4,5,6,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,4,5,6,2,1] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,6,4,5,3,7,2,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,3,5,7,2,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,5,6,7,2,1] => [1,8,2,4,5,6,7,3] => [3,8,4,5,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,6,7,2,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,4,3,8,2,1] => [1,6,8,2,5,3,7,4] => [4,6,8,5,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,4,3,8,2,1] => [1,5,3,7,2,6,8,4] => [5,3,8,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,6,4,5,3,8,2,1] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,5,4,6,3,8,2,1] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,4,7,3,8,2,1] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,6,4,3,5,8,2,1] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,3,4,5,8,2,1] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,3,4,5,7,8,2,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,4,6,7,8,2,1] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,3,5,6,7,8,2,1] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,6,5,4,2,3,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,4,2,3,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,5,4,2,3,1] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,6,4,2,3,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,6,5,7,4,2,3,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,8,4,2,3,1] => [1,7,3,5,4,8,2,6] => [7,3,5,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,6,4,5,2,3,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,4,5,2,3,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,4,5,2,3,1] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,4,5,2,3,1] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,7,4,5,6,2,3,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,6,7,2,3,1] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,4,5,8,2,3,1] => [1,7,3,4,5,8,2,6] => [7,3,4,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,5,8,2,3,1] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,5,6,7,8,2,3,1] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,7,5,3,2,4,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,5,7,3,2,4,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,3,2,4,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,5,8,3,2,4,1] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,5,8,3,2,4,1] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,8,3,2,4,1] => [1,5,3,7,4,8,2,6] => [7,3,5,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,2,3,4,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,8,5,2,3,4,1] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,5,7,2,3,4,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,2,3,4,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,5,8,2,3,4,1] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,8,4,3,2,5,1] => [1,7,5,3,8,2,6,4] => [6,4,8,3,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,7,6,3,4,2,5,1] => [1,8,2,7,5,4,3,6] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,6,8,3,4,2,5,1] => [1,7,5,4,3,8,2,6] => [7,5,4,3,8,2,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,7,8,3,4,2,5,1] => [1,6,2,7,5,4,3,8] => [3,7,6,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,3,2,4,5,1] => [1,6,4,3,8,2,7,5] => [6,4,3,8,2,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,8,2,3,4,5,1] => [1,7,5,3,8,2,6,4] => [6,4,8,3,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,7,8,2,3,4,5,1] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,5,4,3,2,7,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,4,3,2,7,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,5,3,4,2,7,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,3,4,2,7,1] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,4,5,6,2,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,4,2,3,7,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,4,2,3,7,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,4,5,2,6,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,3,4,6,7,1] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,4,2,5,6,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,4,5,6,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,4,5,6,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,4,3,2,8,1] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,6,7,4,3,2,8,1] => [1,5,3,7,8,2,6,4] => [6,3,8,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,5,7,3,4,2,8,1] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,4,3,6,2,8,1] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,4,6,2,8,1] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,5,6,2,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,7,2,8,1] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,5,6,3,7,2,8,1] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,3,4,5,7,2,8,1] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,7,2,8,1] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,5,6,4,2,3,8,1] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,5,7,4,2,3,8,1] => [1,6,3,7,8,2,5,4] => [6,3,8,7,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,2,4,8,1] => [1,6,4,3,7,8,2,5] => [7,4,3,8,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,6,2,3,4,8,1] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,6,7,2,3,4,8,1] => [1,5,3,7,8,2,6,4] => [6,3,8,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,3,2,4,5,6,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,4,5,6,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,4,3,2,7,8,1] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,2,7,8,1] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,4,2,7,8,1] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,2,7,8,1] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,2,7,8,1] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,5,4,2,3,7,8,1] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,2,3,7,8,1] => [1,6,7,8,2,4,3,5] => [5,7,6,8,2,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,4,6,2,3,7,8,1] => [1,5,3,6,7,8,2,4] => [7,3,8,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,2,3,7,8,1] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,3,4,5,7,8,1] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,2,6,7,8,1] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,2,6,7,8,1] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,2,6,7,8,1] => [1,3,5,6,7,8,2,4] => [7,2,8,3,4,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,2,3,6,7,8,1] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,3,2,4,6,7,8,1] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,6,7,8,1] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,5,6,7,8,1] => [1,4,5,6,7,8,2,3] => [7,8,2,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,6,7,8,1] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,5,6,7,8,1] => [1,4,5,6,7,8,2,3] => [7,8,2,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,6,7,8,1] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,4,3,1,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,4,3,1,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,5,4,3,1,2] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,4,3,1,2] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,5,6,4,3,1,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,6,4,3,1,2] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,7,4,3,1,2] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,8,4,3,1,2] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,7,6,4,5,3,1,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,4,5,3,1,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,8,4,5,3,1,2] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,4,5,6,3,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,6,4,5,8,3,1,2] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,3,4,1,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,3,4,1,2] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,6,3,4,1,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,6,3,4,1,2] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,3,4,1,2] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,7,8,3,4,1,2] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,7,8,3,4,1,2] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,4,3,6,1,2] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,3,6,1,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,5,3,6,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,8,5,3,4,6,1,2] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,3,5,6,1,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,3,5,6,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,3,4,5,6,1,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,4,5,6,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,3,5,6,7,1,2] => [1,8,2,4,5,6,7,3] => [3,8,4,5,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,6,7,1,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,4,3,8,1,2] => [1,6,8,2,5,3,7,4] => [4,6,8,5,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,4,3,8,1,2] => [1,5,3,7,2,6,8,4] => [5,3,8,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,4,6,3,8,1,2] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,4,7,3,8,1,2] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,6,4,3,5,8,1,2] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,3,4,5,8,1,2] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,4,5,3,6,8,1,2] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,7,8,1,2] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,5,7,8,1,2] => [1,6,8,2,4,5,7,3] => [4,8,5,6,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,7,8,1,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,4,6,7,8,1,2] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,3,5,6,7,8,1,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,6,8,5,4,2,1,3] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,4,2,1,3] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,7,5,6,4,2,1,3] => [1,8,3,5,4,6,2,7] => [7,3,5,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,5,6,4,2,1,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,4,5,2,1,3] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,6,2,1,3] => [1,8,3,4,5,6,2,7] => [7,3,4,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,5,7,2,1,3] => [1,8,3,4,5,7,2,6] => [7,3,4,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,5,8,2,1,3] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,4,1,2,3] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,4,1,2,3] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,8,5,6,4,1,2,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,4,5,1,2,3] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,7,4,5,6,1,2,3] => [1,8,3,4,5,6,2,7] => [7,3,4,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,5,6,1,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,5,6,4,7,1,2,3] => [1,8,3,6,2,5,7,4] => [5,3,8,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,5,7,1,2,3] => [1,8,3,4,5,7,2,6] => [7,3,4,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,5,8,1,2,3] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,5,8,1,2,3] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,5,4,7,8,1,2,3] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,8,5,3,2,1,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,3,2,1,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,6,7,8,3,2,1,4] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,2,3,1,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,8,2,3,1,4] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,6,8,5,3,1,2,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,8,3,1,2,4] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,5,2,1,3,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,5,6,7,2,1,3,4] => [1,8,4,7,3,6,2,5] => [7,5,3,8,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,5,8,2,1,3,4] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,8,5,1,2,3,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,5,6,7,1,2,3,4] => [1,8,4,7,3,6,2,5] => [7,5,3,8,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,5,8,1,2,3,4] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,6,4,3,2,1,5] => [1,8,5,3,6,2,7,4] => [6,4,8,3,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,7,4,3,2,1,5] => [1,8,5,3,7,2,6,4] => [6,4,8,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,3,4,2,1,5] => [1,8,5,4,3,6,2,7] => [7,5,4,3,6,8,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,8,6,3,4,2,1,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,4,2,3,1,5] => [1,6,3,8,5,2,7,4] => [6,3,8,5,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,2,3,4,1,5] => [1,8,5,3,7,2,6,4] => [6,4,8,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,4,3,1,2,5] => [1,8,5,3,6,2,7,4] => [6,4,8,3,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,6,3,4,1,2,5] => [1,8,5,4,3,6,2,7] => [7,5,4,3,6,8,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,8,6,3,4,1,2,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,4,2,1,3,5] => [1,7,3,6,2,8,5,4] => [5,3,8,7,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,4,1,2,3,5] => [1,7,3,6,2,8,5,4] => [5,3,8,7,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,3,2,1,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[6,7,8,3,2,1,4,5] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,6,2,3,1,4,5] => [1,8,5,3,6,2,7,4] => [6,4,8,3,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,6,2,3,1,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,7,2,3,1,4,5] => [1,8,5,3,7,4,2,6] => [7,4,6,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,2,3,1,4,5] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,6,3,1,2,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[6,7,8,3,1,2,4,5] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,6,2,1,3,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,8,6,2,1,3,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,8,2,1,3,4,5] => [1,6,3,8,5,2,7,4] => [6,3,8,5,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,1,2,3,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,8,6,1,2,3,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,8,1,2,3,4,5] => [1,6,3,8,5,2,7,4] => [6,3,8,5,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,2,3,1,6] => [1,8,6,3,4,5,2,7] => [7,4,5,6,3,8,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,8,5,2,3,4,1,6] => [1,7,2,8,6,4,3,5] => [3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,2,3,4,5,1,6] => [1,7,2,8,6,5,4,3] => [3,8,7,6,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,5,4,2,1,3,6] => [1,7,3,5,2,8,6,4] => [5,3,8,4,7,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,5,4,1,2,3,6] => [1,7,3,5,2,8,6,4] => [5,3,8,4,7,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,4,5,1,2,3,6] => [1,7,3,4,5,2,8,6] => [6,3,4,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,5,2,1,3,4,6] => [1,8,6,3,5,2,7,4] => [6,4,8,5,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,2,3,4,6] => [1,8,6,3,5,2,7,4] => [6,4,8,5,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,2,4,1,5,6] => [1,7,5,4,2,8,6,3] => [5,8,4,3,7,2,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,7,4,2,1,3,5,6] => [1,8,6,3,4,2,7,5] => [6,4,5,8,3,7,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,7,4,1,2,3,5,6] => [1,8,6,3,4,2,7,5] => [6,4,5,8,3,7,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,7,3,2,1,4,5,6] => [1,8,6,4,2,7,5,3] => [5,8,4,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,3,2,1,4,5,6] => [1,7,5,2,8,6,4,3] => [4,8,7,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,3,1,4,5,6] => [1,8,6,4,3,2,7,5] => [6,5,4,8,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,3,1,4,5,6] => [1,7,5,2,8,6,4,3] => [4,8,7,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,1,2,4,5,6] => [1,7,5,2,8,6,4,3] => [4,8,7,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,1,3,4,5,6] => [1,8,6,4,2,7,5,3] => [5,8,4,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,2,1,3,4,5,6] => [1,7,5,3,2,8,6,4] => [5,4,8,3,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,2,3,4,5,6] => [1,8,6,4,2,7,5,3] => [5,8,4,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,1,2,3,4,5,6] => [1,7,5,3,2,8,6,4] => [5,4,8,3,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,4,3,2,1,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,6,4,3,2,1,7] => [1,8,7,2,5,3,6,4] => [4,6,8,5,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,3,4,2,1,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,5,3,6,2,1,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,5,6,2,1,7] => [1,8,7,2,4,5,6,3] => [4,8,5,6,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,6,2,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,6,5,4,2,3,1,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,6,4,2,3,1,7] => [1,8,7,2,5,3,6,4] => [4,6,8,5,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,2,3,4,1,7] => [1,8,7,2,5,3,6,4] => [4,6,8,5,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,2,4,5,1,7] => [1,8,7,2,6,5,4,3] => [4,8,7,6,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,3,5,2,6,1,7] => [1,8,7,2,4,5,3,6] => [4,7,5,6,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,5,2,3,6,1,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,2,5,6,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,2,4,5,6,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,2,3,4,5,6,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,6,5,4,3,1,2,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,5,3,4,1,2,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,4,3,6,1,2,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,5,3,6,1,2,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,4,6,1,2,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,3,5,6,1,2,7] => [1,8,7,2,4,5,6,3] => [4,8,5,6,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,6,1,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,6,4,5,2,1,3,7] => [1,8,7,3,4,5,2,6] => [7,4,5,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,5,1,2,3,7] => [1,8,7,3,4,5,2,6] => [7,4,5,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,2,3,1,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,5,2,1,3,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,5,1,2,3,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,3,2,4,1,5,7] => [1,8,7,5,4,2,6,3] => [6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,2,3,4,1,5,7] => [1,8,7,5,4,3,2,6] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,3,2,1,4,5,7] => [1,8,7,5,2,6,4,3] => [5,8,7,4,6,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,3,5,2,1,6,7] => [1,8,7,6,2,4,5,3] => [5,8,6,7,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,5,2,3,4,1,6,7] => [1,8,7,6,2,5,4,3] => [5,8,7,6,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,4,2,1,3,6,7] => [1,8,7,6,3,4,2,5] => [7,5,6,8,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,5,4,1,2,3,6,7] => [1,8,7,6,3,4,2,5] => [7,5,6,8,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,4,5,1,2,3,6,7] => [1,8,7,6,3,5,2,4] => [7,5,8,6,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,1,4,6,7] => [1,8,7,6,4,2,5,3] => [6,8,5,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,1,2,4,6,7] => [1,8,7,6,4,2,5,3] => [6,8,5,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,1,3,4,6,7] => [1,8,7,6,4,2,5,3] => [6,8,5,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,2,3,4,6,7] => [1,8,7,6,4,2,5,3] => [6,8,5,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,2,1,5,6,7] => [1,8,7,6,5,2,4,3] => [6,8,7,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,4,2,3,1,5,6,7] => [1,8,7,6,5,2,4,3] => [6,8,7,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,4,2,1,3,5,6,7] => [1,8,7,6,5,3,2,4] => [7,6,8,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,4,1,2,3,5,6,7] => [1,8,7,6,5,3,2,4] => [7,6,8,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,6,7,4,3,2,1,8] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,5,3,2,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,5,3,2,1,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,5,4,6,3,2,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,6,7,3,2,1,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,4,2,1,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,3,5,2,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,3,5,2,1,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,6,3,4,5,2,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,3,6,2,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,4,3,7,2,1,8] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,6,3,7,2,1,8] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,5,2,3,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,6,2,3,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,7,3,2,4,1,8] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,5,7,2,3,4,1,8] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,7,2,3,4,1,8] => [1,5,3,7,2,6,4,8] => [5,3,7,2,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,3,2,6,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,5,3,2,6,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,4,2,6,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,3,5,2,6,1,8] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,5,4,2,3,6,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,5,2,3,6,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,3,5,6,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,2,7,1,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,6,2,7,1,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,5,6,2,7,1,8] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,2,7,1,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,5,3,2,4,7,1,8] => [1,6,7,2,5,4,3,8] => [4,7,6,5,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,4,5,2,6,7,1,8] => [1,3,5,6,7,2,4,8] => [6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,2,3,6,7,1,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,3,2,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,6,7,1,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,5,6,7,1,8] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,6,7,1,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,5,3,1,2,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,7,3,1,2,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,4,1,2,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,3,4,5,1,2,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,5,3,7,1,2,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,6,3,4,7,1,2,8] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,4,5,7,1,2,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,4,2,1,3,8] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,5,2,1,3,8] => [1,7,3,4,5,2,6,8] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,7,2,1,3,8] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,5,4,1,2,3,8] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,5,1,2,3,8] => [1,7,3,4,5,2,6,8] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,7,1,2,3,8] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,3,2,4,1,5,8] => [1,7,5,4,2,6,3,8] => [5,7,4,3,6,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,7,3,2,4,1,5,8] => [1,6,2,7,5,4,3,8] => [3,7,6,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,3,4,1,5,8] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,7,2,3,4,1,5,8] => [1,6,2,7,5,4,3,8] => [3,7,6,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,3,2,1,4,5,8] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,3,1,2,4,5,8] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,1,2,3,4,5,8] => [1,7,5,3,2,6,4,8] => [5,4,7,3,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,1,2,3,4,5,8] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,3,5,2,1,6,8] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,5,2,1,3,6,8] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,1,2,3,6,8] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,3,1,4,6,8] => [1,7,6,4,3,2,5,8] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,2,1,5,6,8] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,3,1,2,5,6,8] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,1,2,3,5,6,8] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,6,3,2,1,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,3,2,1,7,8] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,3,4,5,2,1,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,6,2,1,7,8] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,5,6,2,1,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,6,2,3,1,7,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,3,4,1,7,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,3,2,5,1,7,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,2,3,4,5,1,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,2,6,1,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,4,6,1,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,6,1,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,6,1,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,5,6,1,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,1,2,7,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,6,3,1,2,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,6,1,2,7,8] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,5,6,1,2,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,6,2,1,3,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,2,1,3,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,1,2,3,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,3,2,1,4,7,8] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,2,1,3,4,7,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,1,2,3,4,7,8] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,1,2,3,4,7,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,4,2,1,5,7,8] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,2,1,3,5,7,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,2,3,5,7,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,2,1,6,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,2,1,6,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,4,2,1,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,5,2,1,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,2,1,6,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,2,3,1,6,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,3,1,6,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,3,2,4,1,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,3,4,1,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,2,5,1,6,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,1,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,5,1,6,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,1,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,1,2,6,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,1,2,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,5,1,2,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,1,2,6,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,2,1,3,6,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,1,3,6,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,1,2,3,6,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,2,3,6,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,2,1,4,6,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,3,1,4,6,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,1,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,2,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,1,5,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,1,5,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,4,1,5,6,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,1,2,5,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,1,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,1,2,3,5,6,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,2,1,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,5,4,3,2,1] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,7,4,3,2,1] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,7,8,6,3,2,1] => [1,5,6,3,7,2,4,8] => [6,4,7,2,3,5,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,5,8,7,6,3,2,1] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,4,8,7,3,2,1] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,5,8,7,3,2,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,6,4,8,3,2,1] => [1,5,8,2,7,3,6,4] => [4,6,8,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,7,6,8,3,2,1] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,8,5,4,2,1] => [1,3,6,4,8,2,7,5] => [6,2,4,8,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,7,8,6,5,2,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,5,7,8,6,2,1] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,5,6,8,7,2,1] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,8,7,2,1] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,7,6,4,3,8,2,1] => [1,5,3,6,8,2,7,4] => [6,3,8,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,6,5,8,2,1] => [1,4,6,8,2,3,7,5] => [5,6,2,8,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,6,7,5,8,2,1] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,5,7,6,8,2,1] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,7,5,4,3,1] => [1,2,6,4,7,3,8,5] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,7,8,5,4,3,1] => [1,2,6,4,8,3,7,5] => [2,6,4,8,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,7,8,4,3,1] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,4,8,7,3,1] => [1,2,5,8,3,6,7,4] => [2,5,8,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,4,8,3,1] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,4,7,6,5,8,3,1] => [1,2,4,6,8,3,7,5] => [2,6,3,8,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,6,7,5,8,4,1] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,6,7,8,5,4,1] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,3,6,5,8,7,4,1] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,6,5,8,4,1] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,5,6,7,8,4,1] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,8,6,5,1] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,7,6,8,5,1] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,6,7,8,5,1] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,3,2,7,8,6,1] => [1,5,7,6,8,2,4,3] => [6,8,7,2,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,2,8,7,6,1] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,3,8,7,6,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,5,7,8,6,1] => [1,4,5,7,6,8,2,3] => [7,8,2,3,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,2,5,8,7,6,1] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,5,8,7,6,1] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,7,8,6,1] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,5,4,3,2,8,7,1] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,4,3,6,2,8,7,1] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,5,4,3,8,7,1] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,6,5,8,7,1] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,3,4,6,5,8,7,1] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,5,4,7,6,2,8,1] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,3,6,5,7,2,8,1] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,4,3,8,1] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,7,4,3,8,1] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,4,3,8,1] => [1,2,5,4,7,8,3,6] => [2,7,4,3,8,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,4,7,6,3,8,1] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,6,7,3,8,1] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,6,7,4,8,1] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,2,7,6,5,8,1] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,3,7,6,5,8,1] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,4,7,6,5,8,1] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,7,6,5,8,1] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,6,7,5,8,1] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,5,2,7,6,8,1] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,5,4,7,6,8,1] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,2,5,7,6,8,1] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,6,4,2,7,8,1] => [1,3,6,7,8,2,5,4] => [6,2,8,7,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,4,6,2,7,8,1] => [1,3,4,6,7,8,2,5] => [7,2,3,8,4,5,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,6,5,4,3,7,8,1] => [1,2,6,7,8,3,5,4] => [2,6,8,7,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,6,3,7,8,1] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,6,3,7,8,1] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,5,6,4,7,8,1] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,3,6,5,7,8,1] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,5,4,2,6,7,8,1] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,5,4,3,6,7,8,1] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,6,7,8,1] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,6,7,8,1] => [1,3,5,6,7,8,2,4] => [7,2,8,3,4,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,6,8,7,5,4,3,2] => [1,2,6,4,7,3,8,5] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,7,8,5,4,3,2] => [1,2,6,4,8,3,7,5] => [2,6,4,8,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,7,8,4,3,2] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,8,7,3,2] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,6,5,8,3,2] => [1,2,4,6,8,3,7,5] => [2,6,3,8,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,6,7,8,5,4,2] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,3,5,6,7,8,4,2] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,8,7,6,5,2] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,7,6,8,5,2] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,6,7,8,5,2] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,4,3,8,7,6,2] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,5,8,7,6,2] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,5,7,8,6,2] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,5,4,3,8,7,2] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,3,8,7,2] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,6,5,4,3,8,2] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,7,4,3,8,2] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,4,3,8,2] => [1,2,5,4,7,8,3,6] => [2,7,4,3,8,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,6,4,7,3,8,2] => [1,2,5,7,8,3,6,4] => [2,6,8,3,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,4,5,6,7,3,8,2] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,6,5,7,4,8,2] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,7,6,5,8,2] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,6,7,5,8,2] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,5,4,3,7,8,2] => [1,2,6,7,8,3,5,4] => [2,6,8,7,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,3,7,8,2] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,5,6,4,7,8,2] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,3,6,5,7,8,2] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,4,3,6,7,8,2] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,6,7,8,2] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,5,6,7,8,2] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,7,8,5,4,3] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,1,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,5,8,4,3] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,6,5,7,4,8,3] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,6,7,5,8,3] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,6,8,5,4,3] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,8,5,4,3] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,6,5,8,7,4,3] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,6,5,8,4,3] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,5,6,7,8,4,3] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,8,7,6,5,3] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,8,6,5,3] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,7,6,8,5,3] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,6,7,8,5,3] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,4,5,8,7,6,3] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,5,7,8,6,3] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,6,5,8,7,3] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,7,6,5,8,3] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,6,4,7,8,3] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,6,7,8,3] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,5,8,7,6,4] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,1,7,6,5,8,4] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,1,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,1,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,2,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,7,6,5,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,8,6,5,4] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,7,6,8,5,4] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,6,7,8,5,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,8,7,6,4] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,7,8,6,4] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,6,5,8,7,4] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,7,6,5,8,4] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,6,7,5,8,4] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,6,7,8,4] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,7,8,6,5] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,2,1,6,8,7,5] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,2,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,1,8,7,6,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,2,1,6,7,8,5] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,3,1,6,7,8,5] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,4,1,6,7,8,5] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,1,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,1,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,2,6,7,8,5] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,2,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,2,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,3,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,1,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,8,7,6,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,7,8,6,5] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,4,6,7,8,5] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,2,1,7,8,6] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,4,2,1,7,8,6] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,3,5,2,1,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,4,5,2,1,7,8,6] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,3,1,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,4,3,1,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,1,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,1,7,8,6] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,2,5,1,7,8,6] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,1,7,8,6] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,5,1,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,3,2,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,4,3,2,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,2,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,4,2,7,8,6] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,5,2,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,5,4,3,7,8,6] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,5,3,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,5,4,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,5,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,2,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,4,1,5,7,8,6] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,1,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,2,5,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,2,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,3,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,2,1,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,3,2,1,8,7] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,3,6,5,2,1,8,7] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,6,2,1,8,7] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,5,6,2,1,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,5,4,3,1,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,4,3,1,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,6,5,4,1,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,5,6,4,1,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,3,6,5,1,8,7] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,5,4,2,6,1,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,3,5,2,6,1,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,3,6,1,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,6,1,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,4,2,5,6,1,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,5,6,1,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,4,3,2,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,3,2,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,4,6,3,2,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,5,4,2,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,5,6,2,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,5,4,3,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,6,4,3,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,6,5,3,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,5,6,3,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,6,5,4,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,6,4,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,1,6,5,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,3,1,6,5,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,4,1,6,5,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,2,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,6,5,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,2,1,6,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,2,1,6,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,4,2,1,6,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,3,5,2,1,6,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,2,1,6,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,3,1,6,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,1,6,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,1,6,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,5,4,1,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,4,5,1,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,2,6,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,4,2,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,5,2,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,5,3,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,4,3,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,4,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,5,6,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,1,5,6,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,4,1,5,6,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,2,5,6,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,4,3,2,1,8] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,3,7,6,2,1,8] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,7,6,2,1,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,5,4,7,2,1,8] => [1,3,5,7,2,6,4,8] => [5,2,7,3,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,6,7,4,3,1,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,4,7,6,3,1,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,4,7,3,1,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,6,7,3,1,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,7,6,5,4,1,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,7,5,4,1,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,6,5,7,4,1,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,5,6,7,4,1,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,2,6,7,5,1,8] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,4,7,6,5,1,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,6,7,5,1,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,3,2,7,6,1,8] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,2,7,6,1,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,5,2,7,6,1,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,5,7,6,1,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,6,5,2,7,1,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,4,6,2,7,1,8] => [1,3,4,6,7,2,5,8] => [6,2,3,7,4,5,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,5,4,6,3,7,1,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,6,5,4,7,1,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,5,6,4,7,1,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,2,6,5,7,1,8] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,4,2,6,7,1,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,4,5,3,6,7,1,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,6,5,7,4,3,2,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,4,3,2,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,4,7,6,3,2,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,7,3,2,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,6,7,3,2,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,7,6,5,4,2,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,7,5,4,2,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,6,5,7,4,2,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,5,6,7,4,2,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,6,7,5,2,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,5,4,7,6,2,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,5,7,6,2,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,4,6,3,7,2,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,5,4,7,2,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,5,6,4,7,2,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,5,3,6,7,2,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,5,6,7,2,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,6,5,4,3,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,5,4,3,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,5,6,7,4,3,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,6,7,5,3,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,5,6,4,7,3,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,6,7,3,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,2,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,7,6,5,4,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,6,7,5,4,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,7,6,4,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,5,6,7,4,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,2,1,6,7,5,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,4,1,6,7,5,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,7,6,5,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,1,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,2,6,7,5,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,2,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,7,6,5,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,4,6,7,5,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,2,1,7,6,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,2,1,7,6,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,4,2,1,7,6,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,5,2,1,7,6,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,3,1,7,6,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,1,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,1,7,6,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,5,4,1,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,2,5,1,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,5,1,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,3,2,7,6,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,2,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,4,2,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,5,2,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,4,3,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,3,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,4,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,4,1,5,7,6,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,2,5,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,5,2,1,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,6,3,1,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,6,5,4,1,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,5,6,4,1,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,3,6,5,1,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,4,6,5,1,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,5,4,2,6,1,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[1,6,5,4,3,2,7,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,3,2,7,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,4,6,3,2,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,6,3,2,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,6,4,2,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,3,6,5,2,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,4,3,6,2,7,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,6,2,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,5,6,2,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,6,5,4,3,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,6,4,3,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,6,5,3,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,4,5,6,3,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,6,5,4,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,5,6,4,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,3,1,6,5,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,4,1,6,5,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,3,4,1,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,6,5,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,4,2,1,6,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,5,4,3,1,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,3,1,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,1,6,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,5,4,1,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,4,3,2,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,3,2,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,4,2,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,5,2,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,4,3,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,3,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,5,4,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,4,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,3,1,5,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,3,2,5,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,4,2,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => [2,3,4,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,5,6,4,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,5,6,8,4] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,5,6,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,3,8,5,7,6,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,3,8,6,5,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,3,8,6,7,5,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,4,3,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,5,8,6,7,3] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,5,6,8,3] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,8,5,6,7,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,4,8,6,5,7,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,6,4,5,3,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,5,4,6,3,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,2,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,6,5,4,7,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,2,8,6,5,7,4,3] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,5,6,8,4] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,5,7,6,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,2,8,6,5,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,2,8,6,7,5,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,4,2,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,5,8,6,7,2] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,5,6,7,2] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,4,8,6,5,7,2] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,4,8,6,7,5,2] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,6,4,5,2,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,4,5,7,2,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,4,5,6,2,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,3,8,4,5,6,7,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,4,6,5,7,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,4,6,7,5,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,5,4,6,7,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,5,4,7,6,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,5,6,7,4,2] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,6,5,7,4,2] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,3,8,5,6,7,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,3,8,5,7,6,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,3,8,6,5,7,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,3,8,6,7,5,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,3,4,2,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,4,2,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,4,2,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,3,4,6,2,7,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,4,6,2,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,4,6,7,8,2] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,4,8,6,7,2] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,4,5,2,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,3,4,5,6,2,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,4,7,6,5,2] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,5,4,2,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,3,5,4,6,2,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,5,7,6,4,2] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,6,5,4,8,2] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,8,3,7,5,6,4,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,3,7,6,5,4,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,4,3,5,2,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,4,5,3,2,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,4,5,3,2,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,4,5,6,3,2,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,7,6,5,3,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,5,4,3,6,2,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,8,5,4,3,6,7,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,3,7,6,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,6,3,7,2] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,8,6,4,5,3,7,2] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,7,4,5,6,3,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,4,6,5,3,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,5,4,3,7,2] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,7,5,4,6,3,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,5,6,4,3,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,5,6,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,3,8,5,7,6,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,3,8,6,5,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,3,8,6,7,5,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,4,3,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,5,8,6,7,3] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,8,5,6,7,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,4,8,5,7,6,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,4,8,6,5,7,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,4,8,6,7,5,3] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,1,6,4,5,3,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,5,6,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,5,7,6,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,6,5,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,6,7,5,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,4,6,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,4,7,6,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,6,4,7,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,6,7,4,3] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,5,4,7,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,8,6,5,7,4,3] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,5,8,6,7,4] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,7,5,6,4,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,5,6,7,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,1,8,6,7,5,4] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,1,8,6,7,5] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,8,6,7,1] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,5,6,1,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,5,6,8,1] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,5,6,7,1] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,6,5,7,1] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,6,7,5,1] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,6,4,5,1,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,4,5,1,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,4,5,6,7,1] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,4,6,7,5,1] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,4,6,1,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,8,5,4,6,7,1] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,6,4,1,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,8,5,6,4,7,1] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,5,6,7,4,1] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,6,5,4,7,1] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,4,3,7,5,6,8,1] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,3,8,5,6,7,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,3,8,5,7,6,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,3,8,6,5,7,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,3,8,6,7,5,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,3,4,1,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,4,1,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,3,4,6,7,8,1] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,4,8,6,7,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,4,8,7,6,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,3,4,5,1,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,7,3,4,5,6,1,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,3,5,4,1,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,3,5,4,1,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,8,3,5,7,6,4,1] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,7,5,6,4,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,3,7,6,5,4,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,4,3,8,6,7,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,3,5,1,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,8,4,3,7,6,5,1] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,5,3,1,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,4,5,3,1,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,7,4,5,6,3,1,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,6,5,3,8,1] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,8,4,7,6,5,3,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,5,4,3,6,7,1] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,4,3,7,6,1] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,4,6,3,8,1] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,4,5,3,8,1] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,4,5,6,3,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,4,6,5,3,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,4,6,3,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,6,4,3,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,8,6,7,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,1,5,8,6,7,4] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,1,7,5,6,8,4] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,4,7,5,6,8,1] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,2,4,8,5,6,7,1] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,2,4,8,6,7,5,1] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,2,5,4,8,6,7,1] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,6,4,5,7,1,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,7,4,5,6,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,7,4,6,5,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,7,5,4,6,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,7,5,6,4,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,8,5,7,6,4,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,1,5,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,5,7,8,6] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,5,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,3,1,6,5,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,6,5,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,6,7,8,5] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,6,8,7,5] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,3,1,7,6,5,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,3,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,8,7,6,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,5,1,6,8,7] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,5,1,7,8,6] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,6,5,8,7,1] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,2,3,7,5,6,1,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,1,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,3,4,1,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,3,4,6,1,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,7,6,1,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,2,3,4,8,6,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,8,7,6,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,4,5,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,4,5,8,7,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,2,3,4,5,7,6,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,5,4,6,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,5,4,7,6,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,5,6,7,4,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,6,5,4,1,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,3,1,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,4,3,1,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,4,3,1,7,6,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,4,3,6,1,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,3,6,1,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,3,7,6,1,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,2,4,3,8,7,6,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,3,5,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,3,6,5,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,3,6,5,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,3,6,7,5,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,5,3,1,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,5,3,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,5,3,8,7,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,4,5,3,6,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,3,7,6,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,6,3,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,6,7,3,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,6,5,3,1,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,5,4,3,7,1,8] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,5,4,3,6,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,4,6,3,8,1] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,4,7,6,3,1] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,6,4,5,3,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,6,5,4,3,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,2,1,8,6,7,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,4,1,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,2,4,1,7,6,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,2,4,6,1,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,4,7,6,1,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,2,4,6,5,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,4,6,7,5,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,4,1,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,4,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,4,7,8,1] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,4,8,7,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,3,2,5,4,7,6,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,5,6,4,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,5,6,4,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,5,6,7,4,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,6,5,7,4,1] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,2,1,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,4,2,1,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,4,2,6,1,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,2,7,6,1,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,3,4,2,8,6,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,2,5,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,2,6,5,8,1] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,2,6,5,7,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,2,1,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,2,8,7,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,3,4,5,2,7,6,1] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,6,5,2,1,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,4,2,7,1,8] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,3,5,4,2,6,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,4,6,2,8,1] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,4,7,6,2,1] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,3,6,4,5,2,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,6,5,4,2,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,3,2,5,1,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,4,3,2,6,5,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,7,5,6,2,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,7,6,5,2,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,4,6,5,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,5,4,2,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,5,4,7,2,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,5,4,6,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,5,6,4,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,3,6,5,2,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,1,3,6,5,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,6,3,5,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,3,6,8,5,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,6,8,1,3,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,1,3,6,5,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,6,3,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,6,7,3,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,4,1,6,7,3,5,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,1,3,6,7,8,5] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,6,7,3,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,4,1,6,7,3,8,5] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,6,7,8,3,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,3,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,4,7,1,3,8,5,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,7,8,3,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,5,1,3,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,1,3,5,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,1,3,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,5,7,8,3,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,4,3,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,1,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,5,8,3,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,4,5,1,6,3,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,6,1,3,8,7] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,5,6,8,3,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,1,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,1,3,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,1,6,3,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,6,1,3,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,1,6,7,3,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,6,7,1,3,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,1,6,7,8,3] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,6,1,7,8,3] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,6,7,1,8,3] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,5,6,3,4,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,6,3,4,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,1,3,4,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,1,6,3,8,4,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,6,3,4,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,6,3,7,4,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,6,3,7,4,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,6,7,3,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,6,1,7,3,4,8] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,6,3,7,8,4] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,6,3,7,8,4] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,1,3,8,4] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,5,6,7,8,3,4] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,6,7,1,8,3,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,6,7,8,1,3,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,5,3,7,8,4,6] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,3,7,8,4,6] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,1,3,8,4,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,8,1,3,4,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,5,1,4,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,1,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,1,8,3,4,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,1,3,5,8,4,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,1,5,3,4,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,1,4,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,1,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,1,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,3,5,1,4,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,1,4,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,1,7,4,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,7,1,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,1,7,8,4] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,5,6,7,8,1,4] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,6,3,7,4,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,7,8,3,4,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,3,7,4,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,7,1,4,5,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,3,6,7,4,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,3,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,6,7,8,1,4,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,3,8,4,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,8,1,3,4,5,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,6,1,8,4,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,6,3,4,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,1,3,6,4,5,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,6,1,4,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,3,4,1,6,8,5,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,6,4,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,6,4,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,6,1,4,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,3,4,6,1,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,4,6,7,1,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,4,6,7,8,1,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,7,8,3,4,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,8,1,3,4,5,6] => [1,2,7,5,3,8,6,4] => [2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,3,7,4,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,7,4,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,1,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,7,8,1,4,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,1,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,7,1,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,8,1,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,1,7,5,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,7,1,5,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,3,4,5,7,1,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,5,7,8,1,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,3,4,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,1,4,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,4,1,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,1,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,1,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,1,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,5,1,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,5,8,1,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,4,5,6,8,1,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,1,4,2,6,5,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,2,6,5,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,4,2,6,5,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,2,6,5,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,4,2,6,7,5,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,2,6,7,5,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,4,2,6,7,8,5] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,2,6,7,8,5] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,2,5,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,2,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,4,2,5,7,8,6] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,2,5,7,8,6] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,1,2,7,8,6] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,2,5,6,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,1,2,6,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,6,2,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,6,1,2,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,4,2,5,6,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,4,1,5,2,6,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,6,2,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,6,7,2,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,1,6,7,2,8] => [1,3,5,6,7,2,4,8] => [6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,6,1,7,2,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,6,7,8,2] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,1,6,7,8,2] => [1,3,5,6,7,8,2,4] => [7,2,8,3,4,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,6,1,7,8,2] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,6,7,1,8,2] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,5,6,2,4,8,7] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,6,2,4,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,5,6,2,4,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,6,2,4,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,1,6,2,7,4,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,1,6,7,2,4,8] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,5,6,2,7,8,4] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,6,2,7,8,4] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,1,6,7,2,8,4] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,1,6,7,8,2,4] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,6,7,8,1,2,4] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,5,2,7,8,4,6] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,2,7,8,4,6] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,7,8,1,2,4,6] => [1,3,7,4,8,6,2,5] => [7,2,4,8,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,7,1,2,4,6,8] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,2,4,7,6,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,2,5,4,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,5,2,4,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,2,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,1,2,4,7,8,6] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,3,5,2,4,7,8,6] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,2,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,5,2,7,8,4,6] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,2,5,4,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,5,8,4,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,5,1,2,4,6,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,2,5,4,6,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,5,2,4,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,5,6,2,4,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,1,2,4,6,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,3,5,2,4,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,2,5,6,4,7,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,5,6,2,4,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,2,5,6,7,4,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,5,6,2,7,4,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,5,6,7,2,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,2,5,6,7,8,4] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,5,6,2,7,8,4] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,5,6,7,8,2,4] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,6,1,2,7,4,8,5] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,2,6,7,4,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,6,2,7,4,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,7,4,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,6,2,7,4,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,6,7,8,2,4,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,6,2,4,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[3,1,2,4,6,5,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,6,2,5,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,6,4,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,6,2,4,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,3,4,6,2,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,2,4,6,7,5,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,6,7,2,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,2,4,6,7,8,5] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,6,7,2,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,4,6,7,8,2,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,7,1,2,4,8,5,6] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,2,7,4,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,8,2,4,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,4,2,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,4,7,8,2,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,7,4,5,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,3,4,7,2,5,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,1,2,4,5,7,6,8] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,5,7,2,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,1,2,4,5,7,8,6] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,5,7,8,2,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,2,4,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,3,4,2,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,2,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,5,2,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,4,5,8,2,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,1,2,4,5,6,8,7] => [1,3,2,4,5,6,7,8] => [3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,4,5,6,8,2,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,5,2,6,3,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,6,2,3,8,7] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,1,2,3,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,5,2,6,8,3,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,6,8,1,2,3,7] => [1,4,8,7,3,6,2,5] => [7,5,2,8,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,2,6,3,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,6,2,3,7,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,1,2,7,3,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,1,7,2,3,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,5,2,6,7,8,3] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,1,2,7,8,3] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,1,7,8,2,3] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,5,2,7,8,3,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,1,2,7,8,3,6] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,5,2,7,3,6,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,1,7,2,3,6,8] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,2,3,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,2,3,7,6,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,5,2,3,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,5,2,3,7,8,6] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,2,3,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,5,2,8,3,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,1,5,2,3,8,6,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,1,2,3,6,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,5,2,6,3,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,6,2,3,8,7] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,5,2,3,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,2,3,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,2,6,3,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,6,2,3,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,2,6,7,3,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,6,7,2,3,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,2,5,6,7,8,3] => [1,4,5,6,7,8,3,2] => [8,7,2,3,4,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,4,5,2,6,7,8,3] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,6,2,7,8,3] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,5,6,7,2,8,3] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,6,2,7,3,8,5] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,1,7,2,8,3,5] => [1,4,7,3,2,6,8,5] => [5,4,2,8,6,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,6,7,8,2,3,5] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,1,7,8,2,3,5] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,8,2,3,5] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,6,2,7,3,5,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,1,2,7,3,5,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,2,3,5,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,2,6,7,3,5,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,2,6,7,3,5,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,2,6,7,3,8,5] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,2,8,3,5,7] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,8,1,2,3,5,7] => [1,4,2,6,3,8,7,5] => [3,5,2,8,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,1,2,6,3,8,5,7] => [1,4,6,8,7,5,3,2] => [8,7,2,6,3,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,4,6,8,2,3,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,6,2,3,5,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,2,3,6,5,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,6,5,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,6,3,5,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,4,3,6,8,5,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,6,2,3,5,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,2,3,6,5,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,6,5,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,6,3,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,2,3,6,7,5,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,6,7,5,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,6,7,3,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,2,3,6,7,8,5] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,6,7,8,5] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,6,7,3,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,4,6,7,8,3,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,7,2,8,3,5,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,1,8,2,3,5,6] => [1,4,8,6,3,2,7,5] => [6,5,2,8,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,2,3,8,5,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,2,3,8,5,6] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,3,8,5,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,3,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,7,3,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,8,3,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,7,2,3,5,6,8] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,2,4,3,7,5,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,7,3,5,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,1,2,3,5,7,6,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,5,7,6,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,5,7,3,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,2,3,5,7,8,6] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,5,7,8,6] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,5,7,8,3,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,3,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,5,3,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,5,8,3,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,1,2,3,5,6,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,2,3,5,6,8,7] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,5,6,8,3,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,4,2,3,5,6,7,8] => [1,2,4,3,5,6,7,8] => [2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,1,2,7,3,8,4] => [1,5,7,8,4,2,6,3] => [6,8,5,2,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,7,2,8,3,4] => [1,5,2,6,8,4,7,3] => [3,8,6,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,7,8,2,3,4] => [1,5,8,4,7,3,6,2] => [8,6,4,2,7,5,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,6,1,7,8,2,3,4] => [1,5,8,4,7,3,2,6] => [7,6,4,2,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,2,7,3,4,8] => [1,5,7,4,2,6,3,8] => [5,7,4,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,6,3,7,4,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,6,3,7,4,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,2,7,3,4,8] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,2,3,4,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,6,2,3,7,8,4] => [1,5,3,6,7,8,4,2] => [8,3,7,2,4,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,1,2,6,3,7,8,4] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,6,3,7,8,4] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,2,3,8,4] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,6,7,2,8,3,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,6,7,8,2,3,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,6,2,8,3,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,6,3,8,4,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,2,6,8,3,4,7] => [1,5,8,7,4,6,3,2] => [8,7,5,2,6,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,5,6,2,8,3,4,7] => [1,2,5,8,7,4,3,6] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,2,3,4,8,7] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,2,6,3,4,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,6,3,4,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,2,3,4,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,5,6,3,4,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,2,6,3,4,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,6,3,4,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,2,3,4,7,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,5,6,3,4,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,5,6,3,7,4,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,2,3,6,7,8,4] => [1,5,6,7,8,4,3,2] => [8,7,6,2,3,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,2,5,6,3,7,8,4] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,5,6,7,8,3,4] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,1,2,3,8,4,6] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,7,3,8,4,6] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,7,2,3,8,4,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,8,2,3,4,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,7,2,3,4,8,6] => [1,5,3,7,8,6,4,2] => [8,3,7,2,6,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,5,2,3,7,8,4,6] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,3,7,8,4,6] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,1,2,3,4,6,8] => [1,5,3,2,7,6,4,8] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,1,2,7,3,4,6,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,2,3,4,7,6,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,5,3,4,7,6,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,3,5,7,4,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,2,3,4,7,8,6] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,5,3,4,7,8,6] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,3,5,7,8,4,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,2,8,3,4,6,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,2,8,3,4,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,3,5,4,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,5,8,4,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,2,3,4,6,8,7] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,5,3,4,6,8,7] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,2,3,4,6,7,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,5,3,4,6,7,8] => [1,2,3,5,4,6,7,8] => [2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,1,2,3,4,8,5] => [1,6,4,2,7,8,5,3] => [4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,2,3,7,4,8,5] => [1,6,4,3,2,5,7,8] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,6,3,7,4,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,8,3,4,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,2,3,7,4,5,8] => [1,6,4,3,2,5,7,8] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,6,3,7,4,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,3,4,5,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,6,7,4,5,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,6,7,4,8,5] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,6,7,8,4,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,8,2,3,4,5,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,6,3,8,4,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,1,2,3,4,8,5,7] => [1,6,8,7,5,4,3,2] => [8,7,6,5,2,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,2,6,3,4,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,3,6,4,5,8,7] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,6,3,4,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,3,6,4,5,7,8] => [1,2,3,4,6,5,7,8] => [2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,8,2,3,4,5,6] => [1,7,5,3,8,6,4,2] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,7,8,2,3,4,5,6] => [1,2,7,5,3,8,6,4] => [2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,7,8,3,4,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,2,3,4,8,5,6] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,3,7,4,8,5,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,8,4,5,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,4,7,8,5,6] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,7,4,5,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,2,3,4,7,5,6,8] => [1,2,3,4,5,7,6,8] => [2,3,4,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,4,8,5,6,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,2,6,1,4,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,4,5,2,3,8,1,6] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,2,3,1,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,6,2,1,3,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,5,4,2,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,5,1,3,2,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,3,2,8,1,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,3,8,2,1,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,3,8,1,2,5] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,7,4,3,1,8,2,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,3,8,2,6] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,1,7,5,4,8,3,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[3,8,1,5,4,7,6,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,5,1,3,7,6,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,3,6,5,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,8,5,7,3,1,4,2] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,8,6,7,1,3,4,2] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,7,3,5,2] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,8,6,7,4,5,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,7,6,8,4,3,5] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,6,8,4,2,5] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,6,1,8,3,2,5] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,2,1,8,3,6] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,6,2,7,3,5,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,6,8,4,1,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,7,8,1,4,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,2,1,7,8,5,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,1,2,8,7,6,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,2,8,1,7,6,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,3,2,8,7,1,5,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,2,6,5,3,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,8,2,6,5,1,3] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,2,7,1,5,3] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,8,2,1,7,6,3] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,1,2,7,6,3] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,1,8,2,7,6,4] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,1,5,8,3,7,6,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,6,8,7,3,5,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,8,7,2,5,4] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,8,1,7,2,5,3] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,2,4,1,3] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,8,6,1,4,2,3] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,6,1,4,3,2] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,5,1,3,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,3,5,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,7,1,2,3,6,8] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,7,1,2,3,5,8] => [1,6,3,7,5,2,4,8] => [6,3,7,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,1,2,3,5,8] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,2,8,1,3,4,5,6] => [1,7,5,3,8,6,4,2] => [8,4,7,3,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,3,5,1,2,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,3,6,1,2,4,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,7,1,2,3,5,6] => [1,8,6,3,7,5,2,4] => [7,4,8,6,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,6,1,3,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,6,1,2,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,1,2,3,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,8,1,2,4,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,4,8,1,3,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,4,8,1,2,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,6,7,1,3,4,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,5,1,4,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,3,5,1,2,6,8] => [1,4,5,2,7,6,3,8] => [4,7,2,3,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,7,2,6,1,4,5,8] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,3,6,1,2,5,8] => [1,4,6,2,7,5,3,8] => [4,7,2,6,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,1,2,4,7] => [1,5,2,8,7,4,6,3] => [3,8,6,2,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,6,1,2,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,5,1,2,4,7] => [1,6,2,8,7,4,5,3] => [3,8,6,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,2,7,1,3,5,6] => [1,4,7,5,2,8,6,3] => [5,8,2,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,3,7,1,2,5,6] => [1,4,7,5,2,8,6,3] => [5,8,2,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,2,7,1,3,4,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,3,7,1,2,4,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,4,7,1,2,3,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,3,7,1,2,4,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,1,2,3,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,2,6,1,4,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,6,1,3,7,8] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,2,7,1,4,5,8] => [1,6,4,7,5,2,3,8] => [6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,2,6,1,4,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,8,1,4,5,7] => [1,6,4,8,7,5,2,3] => [7,8,3,6,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,2,8,1,4,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,4,8,1,2,3,6] => [1,7,3,4,8,6,2,5] => [7,3,4,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,5,1,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,7,1,3,4,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,1,2,4,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,2,5,1,3,4,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,2,6,1,3,4,5] => [1,8,5,2,7,4,6,3] => [4,8,6,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,6,1,2,4,5] => [1,8,5,2,7,4,6,3] => [4,8,6,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,6,1,2,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,5,8,1,2,7] => [1,4,5,8,7,2,6,3] => [6,8,2,3,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,4,8,1,3,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,3,4,8,1,2,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,7,2,6,8,1,4,5] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,7,3,4,8,1,2,5] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,7,3,5,8,1,2,4] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,8,2,5,7,1,3,6] => [1,4,5,7,3,2,8,6] => [6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,3,5,7,1,2,6] => [1,4,5,7,2,8,6,3] => [5,8,2,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,4,7,1,3,6] => [1,5,7,3,2,8,6,4] => [5,4,8,2,7,3,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,8,3,6,7,1,2,5] => [1,4,6,2,8,5,7,3] => [4,8,2,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,6,7,1,2,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,4,6,1,3,5] => [1,7,3,2,8,5,6,4] => [4,3,8,6,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,3,2,6,8,1,4,7] => [1,5,8,7,4,6,2,3] => [7,8,5,2,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,6,8,1,3,7] => [1,5,8,7,3,2,4,6] => [6,5,7,2,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,3,2,5,8,1,4,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,2,7,8,1,4,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,5,2,7,8,1,3,4] => [1,6,2,5,8,4,7,3] => [3,8,6,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,2,5,8,1,3,6] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,3,5,8,1,2,6] => [1,7,2,4,5,8,6,3] => [3,8,4,5,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,5,8,1,2,4] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,5,7,1,4,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,6,7,1,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,6,1,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,2,6,1,4,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,8,2,6,1,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,8,2,6,1,4,7] => [1,5,6,2,3,8,7,4] => [4,5,8,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,4,8,2,7,1,3,6] => [1,5,7,3,8,6,2,4] => [7,4,8,2,6,3,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,8,3,7,1,2,6] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,8,2,7,1,3,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,8,3,7,1,2,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,3,8,2,6,1,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,8,2,6,1,3,5] => [1,7,3,8,5,6,2,4] => [7,3,8,5,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,2,6,1,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,6,8,2,5,1,3,4] => [1,7,3,8,4,2,6,5] => [6,3,5,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,3,5,1,2,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,2,5,1,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,2,5,1,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,7,2,4,1,3,6] => [1,8,6,2,5,4,3,7] => [4,7,6,5,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[6,4,3,2,7,1,5,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,5,3,2,8,1,4,6] => [1,7,4,2,5,8,6,3] => [4,8,3,5,7,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,4,3,8,1,2,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,2,5,1,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,5,2,4,1,3,7] => [1,8,7,3,5,4,2,6] => [7,4,6,5,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,6,3,2,7,1,4,5] => [1,8,5,7,4,2,6,3] => [6,8,5,3,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,2,6,1,4,5] => [1,8,5,6,2,7,4,3] => [5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,5,2,6,1,3,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,8,3,7,2,6,1,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,2,6,1,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,7,2,5,1,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,2,4,1,3] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,5,7,3,4,1,2] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,3,6,2,5,1,4] => [1,7,2,8,4,6,5,3] => [3,8,5,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,8,4,6,2,5,1,3] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,6,3,5,1,2] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,6,2,4,1,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,8,2,6,1,5] => [1,7,2,4,8,5,3,6] => [3,7,4,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,2,5,1,4] => [1,8,4,7,2,6,5,3] => [5,8,3,7,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,4,3,2,6,1,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,3,2,6,1,4] => [1,8,4,3,5,2,7,6] => [6,4,3,5,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,6,4,2,5,1,3] => [1,8,3,6,5,2,7,4] => [6,3,8,5,4,7,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,1,2,5,3,4,8,6] => [1,7,8,6,4,5,3,2] => [8,7,5,6,4,2,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,2,6,3,4,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,1,2,5,3,7,8,4] => [1,6,7,8,4,5,3,2] => [8,7,5,6,2,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,1,2,5,6,3,8,4] => [1,7,8,4,5,6,3,2] => [8,7,4,5,6,2,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,4,2,3,7,5,6] => [1,8,6,7,5,3,4,2] => [8,6,7,5,3,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,1,4,2,3,7,8,5] => [1,6,7,8,5,3,4,2] => [8,6,7,5,2,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,5,2,3,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,1,5,2,3,4,8,6] => [1,7,8,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,2,3,7,8,4] => [1,6,7,8,4,2,3,5] => [6,7,5,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,2,6,3,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,4,2,6,8,3,7] => [1,5,6,8,7,3,4,2] => [8,6,7,2,3,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,4,2,6,7,3,5] => [1,8,5,6,7,3,4,2] => [8,6,7,3,4,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,1,8,6,2,7,4,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,1,4,8,2,3,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,1,6,5,2,3,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,1,6,5,2,3,8,4] => [1,7,8,4,5,2,3,6] => [6,7,4,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,2,7,3,6] => [1,8,6,7,3,4,5,2] => [8,5,6,7,3,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,1,8,5,7,2,4,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,4,5,6,2,3,7] => [1,8,7,3,4,5,6,2] => [8,4,5,6,7,3,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,4,5,7,2,3,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,6,7,2,3] => [1,8,3,4,5,6,7,2] => [8,3,4,5,6,7,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,8,1,6,3,4,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,8,1,6,3,7,4,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,1,5,7,3,4,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,2,4,5,8,6] => [1,7,8,6,5,4,2,3] => [7,8,6,5,4,2,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[6,3,1,2,4,8,5,7] => [1,6,8,7,5,4,2,3] => [7,8,6,5,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,2,6,7,8,4] => [1,5,6,7,8,4,2,3] => [7,8,6,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,2,3,7,5,6] => [1,8,6,7,5,3,2,4] => [7,6,8,5,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,2,3,4,8,5] => [1,7,8,5,3,2,6,4] => [6,5,8,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,1,2,7,3,8,6] => [1,5,7,8,6,3,2,4] => [7,6,8,2,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,1,2,7,3,4,6] => [1,5,7,4,2,8,6,3] => [5,8,4,2,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,2,6,7,3,5] => [1,8,5,6,7,3,2,4] => [7,6,8,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,2,6,7,3,4] => [1,5,6,7,3,2,8,4] => [6,5,8,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,1,6,2,8,5,7] => [1,4,6,8,7,5,2,3] => [7,8,2,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,8,2,4,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,1,5,2,8,4,7] => [1,6,8,7,4,5,2,3] => [7,8,5,6,2,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,3,1,5,2,7,8,4] => [1,6,7,8,4,5,2,3] => [7,8,5,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,5,2,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,6,2,3,8,5] => [1,7,8,5,2,4,6,3] => [5,8,6,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,1,5,2,3,4,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,1,6,2,3,4,5] => [1,8,5,2,7,4,6,3] => [4,8,6,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,5,2,7,8,3] => [1,6,7,8,3,2,4,5] => [6,5,7,8,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,3,1,5,7,2,8,6] => [1,4,5,7,8,6,2,3] => [7,8,2,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,5,7,2,4,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,5,6,2,8,4] => [1,7,8,4,5,6,2,3] => [7,8,4,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,7,6,2,3,5] => [1,8,5,6,2,4,7,3] => [5,8,6,3,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,5,6,8,2,7] => [1,4,5,6,8,7,2,3] => [7,8,2,3,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,1,5,6,7,8,2] => [1,4,5,6,7,8,2,3] => [7,8,2,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,1,3,8,5,7] => [1,2,6,8,7,5,3,4] => [2,7,8,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,1,3,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,4,1,7,3,8,6] => [1,2,5,7,8,6,3,4] => [2,7,8,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,1,7,3,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,1,6,3,8,5] => [1,2,7,8,5,6,3,4] => [2,7,8,5,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,1,7,3,4,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,1,6,3,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,8,5,1,6,7,3,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,1,6,7,8,3] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,1,2,4,8,6] => [1,7,8,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,1,2,7,8,4] => [1,6,7,8,4,2,3,5] => [6,7,5,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,1,2,3,8,6] => [1,7,8,6,3,4,2,5] => [7,5,6,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,1,2,3,5,7] => [1,6,3,4,2,8,7,5] => [5,3,4,8,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,3,4,1,8,2,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,3,4,1,7,2,5,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,1,6,2,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,4,1,8,7,2,6] => [1,5,8,6,7,2,3,4] => [6,7,8,2,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,1,6,7,2,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,5,4,1,6,7,2,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,1,6,7,8,2] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,5,1,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,4,6,1,3,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,8,6,5,1,3,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,7,8,5,1,3,4,6] => [1,2,7,4,5,3,8,6] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,6,5,1,3,8,4] => [1,2,7,8,4,5,3,6] => [2,7,5,6,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,6,1,7,3,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,6,5,1,2,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,3,6,5,1,2,8,4] => [1,7,8,4,5,2,3,6] => [6,7,4,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,1,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,3,4,5,1,7,2,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,1,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,6,1,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,8,7,1,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,6,1,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,5,6,1,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,3,8,7,6,1,4,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,5,7,1,3,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,6,1,3,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,7,1,2,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,5,6,1,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,5,8,7,1,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,6,7,1,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,8,5,6,7,1,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,6,1,4,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,2,6,4,1,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,5,6,2,3,1,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,2,1,3,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,1,6,4,2,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,5,6,1,3,2,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,3,1,2,8,7] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,2,5,1] => [1,4,3,7,5,8,2,6] => [7,3,2,5,8,4,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,2,1,5] => [1,4,3,7,2,6,5,8] => [5,3,2,7,6,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,1,2,5] => [1,4,3,7,2,6,5,8] => [5,3,2,7,6,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,1,5,2] => [1,4,3,7,5,8,2,6] => [7,3,2,5,8,4,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,5,1,2] => [1,4,3,7,2,6,5,8] => [5,3,2,7,6,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,3,8,5,2,1] => [1,4,3,7,2,6,5,8] => [5,3,2,7,6,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,6,7,8,3,1,4,2] => [1,5,3,7,4,8,2,6] => [7,3,5,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,8,3,5,2] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,7,8,4,5,3] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,7,8,4,3,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,1,8,3,2,5] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,2,8,1,3,5] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,2,8,3,1,5] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,2,8,3,5,1] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,2,8,5,3,1] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,6,7,2,8,5,1,3] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,6,7,2,8,1,5,3] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,1,8,2,5,3] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,7,8,2,4,1,3] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,8,2,4,3,1] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,8,1,4,2,3] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,8,5,2,3] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,1,6,7,8,5,3,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,6,7,1,8,5,3,2] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,6,7,8,1,4,3,2] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,7,6,2,3,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,7,6,1,8,3] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,6,8,7,1,2] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,8,6,5,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,2,8,3,1,5,7,4] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,2,3,8,1,6,7,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,3,2,1,6,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,7,8,1,6,3] => [1,4,7,6,2,5,8,3] => [5,8,2,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,8,1,7,2,3,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,8,3,1,2,6,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,1,8,2,7,4,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,1,2,8,7,5,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,3,8,5,7,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[7,8,2,1,3,4,6,5] => [1,7,6,4,2,8,5,3] => [5,8,4,7,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,6,5,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,6,2,4,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,4,5,1,2,7,3,6] => [1,8,6,7,3,5,2,4] => [7,5,8,6,3,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,4,6,1,2,3,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,5,3,4,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,5,2,4,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,5,1,2,3,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,1,8,2,3,5] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,7,4,1,2,8,3,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,2,8,3,6] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,1,7,5,3,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,8,6,1,7,2,3,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,7,6,8,3,4,5] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,6,8,2,4,5] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,6,1,8,2,3,5] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,1,2,8,3,6] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,6,1,7,2,3,5] => [1,8,5,7,3,6,2,4] => [7,5,8,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,7,8,2,4,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,1,2,7,8,5,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,4,3,8,7,5,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,1,2,8,7,5,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,3,1,8,7,2,4,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,1,6,2,3,5] => [1,7,3,8,5,6,2,4] => [7,3,8,5,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,1,2,7,3,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,1,2,7,3,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,1,8,2,7,4,6] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,1,5,8,3,7,4,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,6,8,7,3,4,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,8,7,2,4,5] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,8,1,7,2,3,5] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,6,1,2,3,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,7,6,3,4,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,7,6,2,4,5] => [1,3,2,8,5,6,4,7] => [3,2,7,5,6,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,3,7,6,8,1,2] => [1,5,6,8,2,4,7,3] => [5,8,6,2,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,8,6,7,1,2] => [1,5,6,7,2,4,8,3] => [5,8,6,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,2,6,7,1,8,3] => [1,5,7,8,3,2,4,6] => [6,5,7,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,6,1,7,4,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,2,6,1,7,8,4] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,6,8,1,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,8,6,1,7,3] => [1,5,6,2,4,8,3,7] => [4,7,5,2,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,4,8,2,5,1,7,3] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,8,4,2,5,1,3,6] => [1,7,3,4,2,8,6,5] => [5,3,4,8,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,6,8,5,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,2,1,8,6,5,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,8,3,2,1,5,4,6] => [1,7,4,2,8,6,5,3] => [4,8,3,7,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,8,2,1,5,7,4] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,2,8,1,6,7,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,3,7,2,1,8,5,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,2,1,8,4,5] => [1,6,8,5,2,3,7,4] => [5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,3,2,1,6,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,2,8,1,7,4,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,2,1,8,7,5,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,7,5,6,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,2,1,8,5,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,8,1,4,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,3,2,1,4,6,5] => [1,7,6,4,2,8,5,3] => [5,8,4,7,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,1,8,5,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,3,2,1,5,8,6,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,8,4,7,2,5,3] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,3,2,6,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,1,2,6,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,4,6,5,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,8,2,3,1,6,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,8,3,7,6,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,4,7,1,5,3] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,8,3,7,6,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,8,3,7,6,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,3,8,1,7,6,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,8,1,7,6,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,2,1,3,8,7,6,5] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,1,2,3,8,7,6,5] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,1,3,2,8,7,6,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,8,7,6,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,2,7,6,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,3,8,2,7,6,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,3,8,2,7,6,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,1,7,2,5,3] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,3,5,8,2,7,6,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,5,8,2,7,6,4] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,8,1,2,7,5,4] => [1,3,8,4,2,6,7,5] => [5,2,4,8,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,8,2,1,7,5,4] => [1,3,8,4,2,6,7,5] => [5,2,4,8,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,8,2,7,1,5,3] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,8,1,7,6,4] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,2,4,8,7,6,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,5,8,1,7,6,4] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,5,8,1,7,6,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,3,2,6,5,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,2,6,4,8,7] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,2,5,4,8,6] => [1,7,8,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,2,5,3,8,6] => [1,7,8,6,3,4,2,5] => [7,5,6,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,3,5,4,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,2,5,3,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,2,6,1,4,3,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,2,8,1,4,3,7,5] => [1,6,3,8,5,4,2,7] => [7,3,6,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,3,8,2,6,4] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,6,1,5,3,7,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,8,2,6,3,7,4] => [1,5,6,3,8,4,2,7] => [7,4,6,2,3,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,1,8,3,6,4,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,3,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,8,5,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,1,3,2,6,5] => [1,8,5,3,7,6,2,4] => [7,4,8,3,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,1,5,2,8,3,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,3,8,4,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,1,5,2,8,3,7,4] => [1,6,3,5,8,4,2,7] => [7,3,6,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,8,3,7,2,6,4] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,6,2,8,1,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,8,2,4,1,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,2,5,8,3,1,6] => [1,7,2,4,5,8,6,3] => [3,8,4,5,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,6,3,8,1,7] => [1,4,6,8,7,2,5,3] => [6,8,2,7,3,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,3,1,6,8,2,4,7] => [1,5,8,7,4,6,2,3] => [7,8,5,2,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,6,3,8,2,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,6,3,8,2,7] => [1,4,6,8,7,2,5,3] => [6,8,2,7,3,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,4,5,3,8,2,1,6] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,5,3,1,8,2,6] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,5,8,3,2,6] => [1,4,5,8,6,3,2,7] => [7,6,2,3,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,5,8,1,4,6,2] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,7,8,3,6,2] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,7,3,8,4,2] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,7,1,8,3,5,2] => [1,6,3,7,5,8,2,4] => [7,3,8,5,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,3,1,4,5,2] => [1,6,4,3,8,2,7,5] => [6,4,3,8,2,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,2,8,4,5,1,3] => [1,6,5,4,8,3,2,7] => [7,6,4,3,2,8,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,1,7,4,8,3,2,5] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,7,3,2,8,4] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,7,3,2,8,4] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,7,3,8,4,1] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,7,3,1,8,4] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,1,7,3,8,4] => [1,5,7,8,4,2,6,3] => [6,8,5,2,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,4,2,8,3,5] => [1,6,8,5,2,3,7,4] => [5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,1,5,2,8,3,6] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,5,1,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,8,2,6,1,4] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,7,8,2,5,3,1] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,3,5,1,4,2] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,1,3,4,2,5,7] => [1,8,7,5,4,3,2,6] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,2,5,1,6,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,2,4,5,6,3,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,2,4,5,6,1,3,7] => [1,8,7,3,4,5,6,2] => [8,4,5,6,7,3,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,5,3,6,4,1,2,7] => [1,8,7,2,5,4,6,3] => [4,8,6,5,7,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,4,1,5,6,3,2,7] => [1,8,7,2,4,5,6,3] => [4,8,5,6,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,6,3,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,4,3,6,7,2,8,5] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,3,8,4,1,6,2] => [1,7,6,2,5,4,8,3] => [4,8,6,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,5,8,3,6,1,2] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,4,7,8,3,5,2,1] => [1,6,5,3,7,2,4,8] => [6,4,7,3,2,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,6,7,8,2,1,4] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,6,7,8,2,4,1] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,1,7,8,2,4,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,6,2,7,4,8,5,1] => [1,3,2,6,8,4,7,5] => [3,2,6,8,4,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,2,7,1,8,5,4] => [1,3,2,6,8,4,7,5] => [3,2,6,8,4,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,5,8,6,2,1,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,5,8,2,1,6,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,2,7,1,3,8,5,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,7,8,2,5,4] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,3,8,5,1,4,2] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,8,5,3,1,2] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,2,6,5,3,1,8] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,5,4,8,3,6,2] => [1,2,7,6,3,5,8,4] => [2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,5,4,1,3,2,6] => [1,8,6,3,5,2,7,4] => [6,4,8,5,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,4,8,2,6,3] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,2,7,1,5,3,6] => [1,4,7,3,2,8,6,5] => [5,4,2,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,1,4,2,3,5] => [1,7,3,6,2,8,5,4] => [5,3,8,7,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,8,4,3,5,2] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,6,7,8,3,4,5,2] => [1,2,6,4,8,3,7,5] => [2,6,4,8,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,1,3,4,2,5] => [1,8,5,3,7,2,6,4] => [6,4,8,3,7,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,8,1,3,5,6] => [1,4,8,6,3,2,7,5] => [6,5,2,8,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,8,3,1,5,7] => [1,4,8,7,5,3,2,6] => [7,6,2,5,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,3,1,2,4,6] => [1,7,4,3,8,6,2,5] => [7,4,3,8,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,7,3,1,4,2,6] => [1,8,6,4,3,7,2,5] => [7,5,4,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,7,3,8,4,6,2] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,8,3,7,6,4,2] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,6,1,2,3,8,7,4] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,2,7,1,8,4,6,5] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,2,1,8,3,6,5] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,1,8,3,2,5,4] => [1,7,5,3,2,6,4,8] => [5,4,7,3,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,7,3,5,2,4] => [1,8,4,7,2,6,5,3] => [5,8,3,7,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,6,8,7,3,5,4,2] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,1,6,5,3,2,4] => [1,8,4,6,3,2,7,5] => [6,5,3,8,4,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,8,2,1,7,6,3,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,8,7,2,5,4,3] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,6,5,3,4,8,7,2] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,2,3,8,7,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,8,4,6,2] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,3,7,4,6,2] => [1,2,8,3,5,7,6,4] => [2,4,8,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,1,2,7,3,6,5] => [1,8,5,7,6,3,2,4] => [7,6,8,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,6,8,3,4,5,2] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,1,2,8,3,6,5] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,7,2,8,4,6,5] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,1,6,2,3,5,8] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,1,7,2,3,5,6] => [1,4,7,5,2,8,6,3] => [5,8,2,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,1,8,7,2,4,5,3] => [1,6,4,7,5,2,3,8] => [6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,6,2,4,5,3] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,6,2,3,5,4] => [1,8,4,6,3,2,7,5] => [6,5,3,8,4,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,5,4,7,1,8,6] => [1,3,5,7,8,6,2,4] => [7,2,8,3,6,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,5,1,6,3,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,1,6,2,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,2,7,5,8,1] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,2,7,1,8,5] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,1,7,2,8,5] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,5,4,7,2,8,6] => [1,3,5,7,8,6,2,4] => [7,2,8,3,6,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,5,4,7,6,8,2] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,1,7,5,8,2] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,5,7,1,8,2] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,6,4,7,5,8,2] => [1,3,6,5,7,8,2,4] => [7,2,8,4,3,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,1,6,4,7,3,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,3,7,2,8,5] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,1,6,3,7,2,8,4] => [1,5,7,8,4,3,6,2] => [8,6,5,2,7,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,2,6,3,7,1,8,4] => [1,5,7,8,4,3,6,2] => [8,6,5,2,7,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,2,6,1,7,3,8,5] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,2,6,3,7,1,8,5] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,2,6,4,7,5,8,1] => [1,3,6,5,7,8,2,4] => [7,2,8,4,3,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,2,6,5,7,3,8,1] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,7,5,8,3] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,6,2,7,5,8,3] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,6,2,7,4,8,3] => [1,5,7,8,3,6,4,2] => [8,5,7,2,6,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,2,6,1,7,4,8,3] => [1,5,7,8,3,6,4,2] => [8,5,7,2,6,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,2,6,4,7,1,8,3] => [1,5,7,8,3,6,2,4] => [7,5,8,2,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,2,7,1,8,3] => [1,5,7,8,3,6,2,4] => [7,5,8,2,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,1,7,2,8,3] => [1,5,7,8,3,6,2,4] => [7,5,8,2,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,4,7,2,8,3] => [1,5,7,8,3,6,2,4] => [7,5,8,2,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,5,7,3,8,4] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,5,7,3,8,2] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,4,6,1,3,7] => [1,8,7,3,5,6,2,4] => [7,4,8,5,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,6,4,3,2,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,3,2,7,5,1] => [1,4,3,8,2,6,7,5] => [5,3,2,8,6,7,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,4,7,3,1,8,2,6] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,4,5,3,2,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,7,4,2,1,6,3] => [1,8,3,7,6,2,5,4] => [6,3,8,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,3,8,7,1,5,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,6,5,8,7,4,1,2] => [1,3,5,7,2,6,4,8] => [5,2,7,3,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,3,5,6,8,2,4] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,6,8,3,1,5] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,4,6,7,5,1] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,4,1,5,7,2,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,1,7,5,2,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,2,6,5,7,4,1,3] => [1,8,3,6,4,5,7,2] => [8,3,5,6,4,7,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,2,5,7,6,4,3,1] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,5,8,6,4,3] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,5,6,4,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,7,5,4,3,2] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,3,1,2,4,8,7] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,6,2,4,5,1,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,1,4,5,3,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,4,3,6,1,2,8,7] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,1,4,5,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,4,2,6,3,1] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,7,4,2,6,3,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,8,5,7,3,4] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,8,4,3,6,1,2] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,5,8,4,6,7,3] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,8,3,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,8,1,5,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,1,5,6,7,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,8,1,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,3,5,6,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,2,4,3,6,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,1,7,8,5,4,3,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,8,1,4,2,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,8,4,5,3,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,6,8,7,5] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,3,6,2,8,1,4] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,3,2,6,1,7,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,4,7,6,1,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,6,4,5,8,2,3] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,3,6,1,8,2,4] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,5,8,3,4] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,8,5,3,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,4,2,6,1,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,2,5,6,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,2,5,6,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,1,8,5,6,7,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,3,5,8,1,7,2] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,4,8,6,1,2] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,1,5,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,4,8,5,6,7,2] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,5,3,7,2,8,4,1] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,5,8,2,4,7,6,1] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,3,5,1,4,8,2,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,8,2,7,6,1] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,3,1,7,2,8,5] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,5,4,3,1,8,2,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,7,1,8,6,5,2] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,8,6,3,7,4,2] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,6,1,8,7,3,5,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,2,8,7,4,5,1,3] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,3,1,6,8,4,2,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,3,2,8,4] => [1,5,3,2,7,8,4,6] => [4,3,7,2,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,5,3,2,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,3,8,7,4,1] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,6,3,1,8,5] => [1,4,6,2,7,8,5,3] => [4,8,2,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,2,7,1,5,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,3,6,2,5,4,1] => [1,8,2,7,4,6,5,3] => [3,8,5,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,2,6,1,3,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,8,1,7,4,3] => [1,6,7,4,8,3,2,5] => [7,6,4,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,1,8,6,4,3] => [1,5,8,3,7,4,2,6] => [7,4,6,2,8,5,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,3,7,6,1,8] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,7,3,5,1,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,6,3,5,1,8] => [1,7,2,4,6,5,3,8] => [3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,2,6,3,1,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,2,6,3,1,5,7] => [1,4,6,2,8,7,5,3] => [4,8,2,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,5,2,7,3,4,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,7,2,3,4,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,2,7,3,4,6] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,1,2,8,3,4,6] => [1,7,4,2,5,8,6,3] => [4,8,3,5,7,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,1,7,2,3,4,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,7,6,2,3,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,6,1,5,4,3,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,3,1,4,6,2,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,6,2,8,3,1] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,7,2,6,3,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,4,6,7,3,1] => [1,5,6,7,3,2,8,4] => [6,5,8,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,4,8,1,6,3,2] => [1,7,3,4,8,2,5,6] => [6,3,4,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,3,5,8,6,2] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,8,3,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,3,7,4,1,8,2,5] => [1,6,8,5,2,3,7,4] => [5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,8,1,6,7,5,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,6,8,5,1] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,2,4,1,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,1,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,6,7,8,5] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,6,1,4,2,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,1,7,2,4] => [1,5,2,8,4,6,7,3] => [3,8,5,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,5,7,3,4] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,1,5,8,7,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,4,6,1,8,2] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,1,5,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,5,7,6,8,2] => [1,4,5,7,8,2,3,6] => [6,7,2,3,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,2,3,4,8,5,1] => [1,6,8,2,7,5,4,3] => [4,8,7,6,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,7,2,3,4,1,6,5] => [1,8,5,4,3,2,7,6] => [6,5,4,3,8,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,1,8,7,4,3,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,3,2,5,4,7] => [1,8,7,4,3,6,5,2] => [8,5,4,7,6,3,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,8,1,2,7,6,3,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,2,1,7,5,3,6] => [1,8,6,5,7,3,2,4] => [7,6,8,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,4,8,6,5,7,2] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,1,6,5,4,8,2,3] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,5,2,6,3,8,1,4] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,6,2,8,4,3,1,7] => [1,5,4,8,7,2,6,3] => [6,8,3,2,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,2,8,1,5,3,6] => [1,4,8,6,5,2,7,3] => [6,8,2,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,7,2,1,4,5,6,3] => [1,8,3,2,7,6,5,4] => [4,3,8,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,5,8,4,3,6,2,1] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,8,1,7,2,5,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,4,1,3,7,2,6,5] => [1,8,5,7,6,2,4,3] => [6,8,7,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,8,4,2,5,7,1] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,1,4,8,3,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,4,3,5,1,7] => [1,6,5,3,2,8,7,4] => [5,4,8,3,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,8,1,3,4,5,7,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,5,8,6,1,4,2,3] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,5,3,4,7,6,1] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,3,4,1,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,5,3,6,1,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,3,4,6,7,1] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,8,6,4,7,3] => [1,5,6,4,8,3,2,7] => [7,6,4,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,8,7,3,4,2] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,2,3,8,7,5,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,1,2,3,8,6,7,5] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,1,2,3,8,5,7,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[7,1,6,8,4,3,5,2] => [1,7,5,4,8,2,3,6] => [6,7,4,3,8,2,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,1,2,8,4,5,7,3] => [1,6,5,4,8,3,2,7] => [7,6,4,3,2,8,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,5,8,2,4,3,1,7] => [1,6,3,8,7,2,5,4] => [6,3,8,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,1,6,8,7,3,2,4] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,3,6,2,7,5] => [1,4,3,8,5,6,2,7] => [7,3,2,5,6,8,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,1,4,8,6,2,7,5] => [1,3,4,8,5,6,2,7] => [7,2,3,5,6,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,1,6,5,8,3,2,4] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,2,5,6,8,7,3] => [1,4,5,6,8,3,2,7] => [7,6,2,3,4,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,2,1,5,3,6] => [1,7,3,4,2,8,6,5] => [5,3,4,8,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,2,5,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,3,1,4,7,2,5,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,6,5,4,1,2] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,6,4,1,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,5,6,4,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,8,2,6,4,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,1,6,4,8,2] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,2,7,4,1,8] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,8,4,2,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,5,6,8,4,3] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,6,1,4,7,3,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,5,8,6,2,7,3,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,7,6,4,3,8,1,2] => [1,5,3,6,8,2,7,4] => [6,3,8,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,4,8,1,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,1,3,4,5,8,7,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,1,4,2,7,6,8,3] => [1,5,7,8,3,4,2,6] => [7,5,6,2,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,2,4,1,6,3,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,2,6,5,3,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,2,1,5,6,3,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,2,8,7,1,6,4,3] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,7,1,6,4,2,5,8] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,7,6,5,3,4,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,7,5,1,3,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,6,1,8,2,4] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,3,6,1,7,2,4] => [1,8,4,6,7,2,5,3] => [6,8,3,7,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,2,6,1,8,3,4] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,5,2,8,1,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,8,2,6,3,7,1,4] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,8,5,3,7,1,2,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,6,2,7,1,3,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,3,8,5,6,1,2,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,7,1,8,2,5] => [1,4,7,2,6,8,5,3] => [4,8,2,7,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,7,3,8,1,2,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,6,7,2,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,8,6,2,3,5] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,8,1,6,3,4] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,7,8,2,5,1,3] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,8,5,1,2,4] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,8,7,1,2,4,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,3,7,6,1,2,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,8,7,1,2,3,6] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,8,7,1,3,4,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,7,1,3,5] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,4,1,2,3] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,7,1,6,2,3,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,4,5,3,2,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,8,4,2,6,5,3] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,8,1,5,7,2] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,4,1,6,5,2] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,1,8,4,7] => [1,6,8,7,4,5,2,3] => [7,8,5,6,2,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,5,3,6,2,7,1,4] => [1,8,4,6,7,2,5,3] => [6,8,3,7,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,7,6,2,3,8,1] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,5,2,1,8,3,4,6] => [1,7,4,2,5,8,6,3] => [4,8,3,5,7,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,2,3,1,8,4,7] => [1,5,2,6,8,7,4,3] => [3,8,7,2,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,5,2,7,1,4] => [1,6,7,2,8,4,5,3] => [4,8,6,7,2,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,8,6,3,7,2,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,6,1,7,2,4,5] => [1,3,6,2,8,5,7,4] => [4,2,8,6,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,1,5,7,2,3,6] => [1,4,5,7,3,2,8,6] => [6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,7,1,2,8,4,5] => [1,6,8,5,2,3,7,4] => [5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,2,6,1,7,3,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,3,5,1,6,8,2,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,2,8,7,1,4,6] => [1,5,7,4,8,6,2,3] => [7,8,4,2,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,7,2,4,6] => [1,5,7,4,8,6,2,3] => [7,8,4,2,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,2,6,1,3] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,8,7,1,4,5] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,7,6,1,3,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,7,5,1,2,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,5,8,3,6,2,4,1] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,1,3,2,6,5,8] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,1,4,3,2,5,7,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,1,3,2,5,6,8] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,8,3,2,5,6,1] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,3,8,2,5,7,1] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,3,2,6,1,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,8,2,5,1,7] => [1,6,5,2,4,8,7,3] => [4,8,5,3,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,4,1,3,2,8,5,6] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,5,3,7,8,2,4,1] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,8,4,1,6,2,3] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,3,2,8,1,7,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,7,2,1,8,5] => [1,6,2,4,7,8,5,3] => [3,8,4,7,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,7,8,2,1,4] => [1,6,2,5,8,4,7,3] => [3,8,6,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,3,2,7,8,1,6] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,1,3,4,8,7] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,7,8,4,3,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,8,3,1,4,7,5] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,6,1,2,5,4] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,4,3,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,2,4,3,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,6,3,4,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,5,2,8,3,6,4,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,4,2,8,3,6,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,2,8,4,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,8,4,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,7,4,6,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,4,6,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,7,3,5,4,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,2,5,3,6,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,7,2,5,3,6,4,8] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,4,3,7,6,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,4,3,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,4,3,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,6,2,4,3,8,5,7] => [1,2,6,8,7,5,3,4] => [2,7,8,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,4,3,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,2,5,3,8,4,6] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,6,3,7,4,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,2,8,3,7,4,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,8,5,1,7,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,8,4,1,6,2,3] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,4,1,6,3,2] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,1,5,2,3,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,7,8,1,5,2,4,3] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,8,2,1,6,3,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,1,5,3,4,2] => [1,6,3,8,2,7,4,5] => [5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,8,1,3,4,5,2] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,8,3,1,6,2,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,8,1,5,6,2] => [1,4,8,2,7,6,5,3] => [4,8,2,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,5,2,3,8,1,7,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,7,3,8,1,5,2,6] => [1,4,8,6,5,2,7,3] => [6,8,2,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,7,3,8,1,2,5,6] => [1,4,8,6,2,7,5,3] => [5,8,2,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,8,1,4,3,2,5] => [1,6,3,8,5,4,2,7] => [7,3,6,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,1,4,2,5,3] => [1,6,2,7,5,4,3,8] => [3,7,6,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,1,2,4,5,3] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,7,8,1,3,2,4,5] => [1,6,2,7,4,3,8,5] => [3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,7,5,2,6,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,2,8,4,5,6,1,3] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,8,5,1,7,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,5,2,1,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,8,5,1,3,7,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,3,7,5,2,1,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,5,8,3,7,1,4] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,6,5,7,3,4,2,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,7,4,6,3,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,3,4,8,6,1,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,6,5,1,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,3,5,8,6,1,4] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,4,6,2,7,3,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,8,4,2,1] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,8,3,4,1] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,3,8,4,2] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,7,1,8,2] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,6,1,7,8,3] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,1,2,6,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,2,1,6,5,8] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,8,4,5,2,3,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,1,6,2,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,6,1,5,4,2,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,6,5,1,3,2,8] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,8,6,4,3,7,2,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,1,7,5,4,8,3] => [1,6,4,7,8,3,2,5] => [7,6,3,8,2,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,4,3,1,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,5,6,3,4,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,5,7,3,1,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,6,1,8,3,2] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,4,6,2,7,3,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,3,2,8,6,5,1] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,7,2,6,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,5,8,1,2,7,6] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,5,1,8,2,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,5,8,3,7,6] => [1,4,5,8,6,3,2,7] => [7,6,2,3,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,6,5,8,7,2,1,4] => [1,3,5,7,2,6,4,8] => [5,2,7,3,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,8,5,7,6,2,4,3] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,5,8,7,6,1,4,3] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,7,5,4,1,3] => [1,2,6,4,7,3,8,5] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,7,5,1,8,4,2] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,2,6,5,7,1,3] => [1,4,6,7,2,8,3,5] => [5,7,2,8,3,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,2,7,6,8,4] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,7,1,5,8,2,3,4] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,6,1,5,8,3,2,4] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,6,7,5,2,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,1,7,6,8,4] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,2,4,1,7,5,8,3] => [1,6,5,7,8,3,4,2] => [8,6,7,3,2,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,2,6,4,7,1,5,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,5,8,3,1,4] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,3,7,6,8,4] => [1,5,7,8,4,3,2,6] => [7,6,5,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,6,7,5,1,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,2,7,5,8,3] => [1,6,5,7,8,3,4,2] => [8,6,7,3,2,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,2,6,5,7,1,4,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,8,2,5,7,1,4] => [1,3,8,4,2,6,7,5] => [5,2,4,8,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,7,1,3,5,8,2,4] => [1,6,8,4,3,2,7,5] => [6,5,4,8,2,7,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,1,2,3,7,6,8,4] => [1,5,7,8,4,3,2,6] => [7,6,5,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,4,3,6,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,8,5,6,1,2,3] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,6,7,4,5,8,1] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,6,5,8,7,1,2,3] => [1,4,8,3,5,7,2,6] => [7,4,2,5,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,6,4,8,3,7,5,1] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,8,7,3,4,1] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,7,8,6,4,1,3] => [1,5,6,4,8,3,7,2] => [8,6,4,2,3,7,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,7,1,2,8,6,5,3] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,1,5,3,2,4] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,3,5,1,2,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,6,3,5,2,4] => [1,7,2,8,4,6,5,3] => [3,8,5,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,7,3,4,8,6,5,2] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,7,1,8,6,5,3] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,7,2,5,3,1,4] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,8,7,1,5,3] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,3,7,4,5,2] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,8,1,7,5,3] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,2,1,7,3,5,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,2,7,1,6,3] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,2,1,6,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,1,2,6,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,1,7,2,6,3] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,1,6,2,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,3,7,2,5,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,6,2,8,1,7,5,3] => [1,4,8,3,2,6,7,5] => [5,4,2,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,8,3,7,5,2] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,1,3,2,4,5] => [1,8,5,3,6,2,7,4] => [6,4,8,3,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,7,4,3,5,6,2] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,8,7,3,4,5,6,2] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,3,1,5,4,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,4,2,1,7,6,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,4,1,2,7,6,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,1,6,5,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,3,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,7,6,4,3,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,2,4,3,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,2,6,5,3,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,5,4,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,5,4,7,2,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,5,4,7,1,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,3,6,5,1,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,1,4,3,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,5,4,1,3,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,1,8,5,6,2] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,2,1,8,7,5,3] => [1,6,7,5,8,3,2,4] => [7,6,8,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,3,2,7,6,4,8] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,2,8,6,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,8,6,5,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,6,2,5,7,3,4,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,2,1,5,8,7,3,4] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,2,1,4,8,7,3,5] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,6,2,4,7,3,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,1,3,8,5,2,6] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,1,3,8,4,2,6] => [1,7,2,5,8,6,4,3] => [3,8,7,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,1,4,8,3,2,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,3,8,7,5,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,2,3,1,6,4,8,7] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,3,5,2,4,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,6,3,5,2,8,7] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,3,4,1,5,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,5,7,3,4,1] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,1,7,3,5,2,8,6] => [1,4,3,7,8,6,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,1,8,5,7,4,6,2] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,7,4,6,2,8,5] => [1,3,7,8,5,6,2,4] => [7,2,8,5,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,7,3,5,1,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,7,3,5,1] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,7,3,6,2,5,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,6,2,3,1,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,5,2,8,6,7,3] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,3,8,5,7,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,4,6,2,5,1,7,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,4,6,2,7,3] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,5,6,3,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,2,8,4,5,1] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,1,3,6,2,5,4] => [1,7,5,6,2,8,4,3] => [5,8,7,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,4,7,2,5,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,2,4,5,6,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,8,3,5,6,4,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,5,8,4,3,2,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,4,3,2,7,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,4,6,8,3,7,5,2] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,1,4,7,6,3] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,6,2,4,7,3,8,5] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,7,5,1,3,6,8,2] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,6,2,4,1,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,6,7,8,1,4,2] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,6,8,5,4,1,2] => [1,3,6,4,8,2,7,5] => [6,2,4,8,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,8,5,6,7,1,2] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,8,1,3,4,2] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,5,6,3,8,1,4] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,7,1,8,4,3] => [1,6,8,3,2,5,4,7] => [5,4,7,6,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,2,7,3,1,4,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,5,2,4,8,3,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,6,5,4,2,3,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,4,1,2,8,3] => [1,7,8,3,6,2,5,4] => [6,4,8,7,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,6,1,2,5,3,8] => [1,7,3,6,5,2,4,8] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,1,4,2,5,3,6,8] => [1,7,6,3,4,2,5,8] => [6,4,5,7,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,8,1,4,2,5,7,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,7,5,4,2,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,6,4,5,2,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,1,5,3,6,8] => [1,7,6,3,4,2,5,8] => [6,4,5,7,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,8,2,3,5,4,7,1] => [1,6,4,3,2,8,5,7] => [5,4,3,7,2,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,2,4,1,5,7,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,3,5,7,1,4,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,5,3,6,8,4,7,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,7,8,5,6,3] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,5,3,7,6,1,8,4] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,1,8,6,7,2] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,4,6,1,7,3] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,5,7,6,3,1] => [1,4,5,7,3,8,2,6] => [7,5,2,3,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,6,2,4,1] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,7,2,5,1,4] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,8,3,7,1,6,4,2] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,7,8,6,2,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,4,1,6,2,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,1,2,3,7,4] => [1,6,3,5,2,8,4,7] => [5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,5,3,1,2,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,5,1,2,7,6,3,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,6,1,7,3,5,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,5,3,1,7,6,2,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,2,7,8,1,6,4] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,4,6,5,8,7,1,2] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,2,7,5,3,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,3,7,5,2,4,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,4,1,5,8,6,3] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,1,5,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,6,8,3,4,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,3,1,5,7,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,3,7,4,5,1,8,2] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,3,6,8,1,5] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,7,4,6,2,8,1,3] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,4,6,1,7,2] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,4,1,6,7,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,4,7,1,6,3] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,8,3,1,7,5,2] => [1,4,3,8,2,6,7,5] => [5,3,2,8,6,7,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,7,4,1,6,2,3,8] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,8,5,3,7,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,3,2,7,8,5,1,4] => [1,6,5,8,4,7,2,3] => [7,8,5,3,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,3,5,6,1,7,2] => [1,4,5,6,2,8,3,7] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,7,1,5,3,2] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,7,2,5,3,1] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,7,2,6,3,1] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,8,7,1,6,3,2] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,8,7,6,1,2,4] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,7,6,1,2,3] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,1,7,6,4,3] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,8,7,1,6,3,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,7,2,6,3,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,2,7,6,4,3] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,8,3,7,6,4,1] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,8,7,1,6,3,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,8,7,2,6,3,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,8,1,7,2,5,3,6] => [1,4,7,3,2,8,6,5] => [5,4,2,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,3,6,5,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,3,6,5,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,8,2,4,7,6] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,1,2,6,3,8,7,5] => [1,4,6,8,5,3,2,7] => [7,6,2,5,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,6,5,3,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,5,2,8,6,3,7,4] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,5,2,6,3,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,5,2,6,3,8,7,4] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,2,7,6,3,8,4] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,4,2,8,3,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,8,6,2,4,7,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,3,7,1,8,2,5,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,4,2,8,3,6,5] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,5,4,2,7,3,6] => [1,8,6,7,3,5,2,4] => [7,5,8,6,3,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,6,2,1,7,3,4,5] => [1,8,5,7,4,2,6,3] => [6,8,5,3,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,4,2,7,3,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,5,2,6,3,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,5,3,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,2,8,6,3,5] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,8,7,5,3,6,4] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,8,6,3,7,5,4] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,3,8,6,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,3,6,5,8,2] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,1,8,7,6,2,4,3] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,6,2,4,1,3] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,2,4,3,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,5,2,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,4,5,3,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,5,3,8,7,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,1,4,5,3,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,8,6,2,4,3] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,8,6,3,4,5,2] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,5,3,8,6,2] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,1,4,5,3,6,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,3,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,5,2,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,7,3,6,1,2] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,6,2,4,1,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,1,8,2,3,7,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,2,4,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,1,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,8,6,1,5,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,8,6,7,1,3,5,4] => [1,2,8,4,7,5,3,6] => [2,7,4,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,5,6,1,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,6,3,1,7,2] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,5,6,2,8,1,4] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,1,3,4,8] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,8,1,3,5,4] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,1,3,6,5,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,7,6,1,8,3,4,5] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,1,2,8,4,6] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,1,6,3,4,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,3,5,7,2,4,1,6] => [1,8,6,4,7,2,3,5] => [6,7,4,8,3,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[2,3,4,1,8,7,5,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,1,7,3,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,8,1,6,4,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,1,4,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,3,6,5,1,7,2] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,6,3,4,1,7,2] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,5,4,3,1,7,2] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,4,1,6,3,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,5,4,1,3,6,2] => [1,7,6,3,5,2,8,4] => [6,4,8,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,5,4,2,1,7,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,1,7,3,6,2,4,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,8,2,6,4,3,5] => [1,7,3,8,5,6,4,2] => [8,3,7,5,6,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,8,7,2,1,6,4,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,6,1,5,4,3,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,2,5,6,3,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,6,8,1,4,3,5,2] => [1,7,5,4,2,6,3,8] => [5,7,4,3,6,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,5,8,3,1,4,6,2] => [1,7,6,4,3,8,2,5] => [7,5,4,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,2,7,3,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,1,5,2,7,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,4,3,1,2,6,5,8] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,5,4,2,3,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,4,2,3,7,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,1,5,3,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,1,3,6,5,8] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,5,6,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,4,3,6,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,3,5,4,7,8] => [1,6,4,3,2,5,7,8] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,2,3,4,6,5,8] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,3,7,8,6,1,2,4] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,6,1,8,7,4,3] => [1,2,5,8,3,6,7,4] => [2,5,8,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,1,6,3,7] => [1,8,7,3,4,5,2,6] => [7,4,5,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,3,4,7,8,1] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,1,3,2,5,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[5,3,7,2,6,4,8,1] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,1,3,4,8,5,2] => [1,6,8,2,7,5,4,3] => [4,8,7,6,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,2,1,3,4,6,5,7] => [1,8,7,5,4,3,2,6] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,2,3,4,5,7,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,6,2,1,3,8,7,4] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,4,8,3,6,2] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,1,8,3,5,2,4] => [1,6,5,3,2,7,4,8] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,2,8,3,5,1,4] => [1,6,5,3,2,7,4,8] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,7,8,5,1,4,3] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,7,2,8,6,4,3] => [1,5,8,3,7,4,2,6] => [7,4,6,2,8,5,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,7,8,2,4,3,1,5] => [1,6,3,8,5,4,2,7] => [7,3,6,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,8,5,2,4,3] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,7,8,4,1,3,2,5] => [1,6,3,8,5,2,7,4] => [6,3,8,5,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,5,2,7,4,1] => [1,6,7,4,5,2,3,8] => [6,7,4,5,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,8,4,7,3,1] => [1,6,7,3,2,5,4,8] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,4,7,2,3,6] => [1,5,7,3,2,8,6,4] => [5,4,8,2,7,3,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,6,4,8,5,7,1,2] => [1,3,4,8,2,6,7,5] => [5,2,3,8,6,7,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,3,8,4,2,7,1,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,3,8,5,6,7,2,1] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,7,4,8,1,3] => [1,6,8,3,2,5,4,7] => [5,4,7,6,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,3,6,1,2,5,7,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,1,8,7,3,2,4] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,5,3,6,4,2,8,1] => [1,7,8,2,5,4,6,3] => [4,8,6,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,6,4,7,3,1] => [1,8,2,5,4,6,7,3] => [3,8,5,4,6,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,7,4,3,5,8,1] => [1,6,5,3,7,8,2,4] => [7,4,8,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,3,4,8,1] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,2,1,8,3,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,1,7,2,5,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,8,6,1,7,4,5,2] => [1,3,6,4,2,8,5,7] => [5,2,4,7,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,1,3,7,2,6,5] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[7,6,1,8,4,3,2,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,6,1,8,4,3,5] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,1,7,3,5,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,4,7,5,3,2,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,3,2,6,4,1] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,6,8,2,7,3,1] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,2,6,8,7,3,4,1] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,7,4,5,6,1] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,8,6,5,3,2,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,8,7,6,3,4,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,7,4,6,2,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,8,7,4,2,3] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,7,5,3,2,1] => [1,6,3,4,7,2,8,5] => [6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,3,6,4,5,1,2] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,8,5,6,1,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,6,4,5,1,3] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,6,4,5,2,3] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,7,3,6,2,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,7,3,6,2,4] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,7,3,5,2,4] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,6,3,5,1,4] => [1,7,2,8,4,6,5,3] => [3,8,5,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,8,2,7,3,5,1,4] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,7,3,6,1,4] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,2,7,3,6,1,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,7,3,5,2,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,7,3,5,1,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,7,2,5,1,4] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,8,6,7,2,4,1,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,1,4,2,3] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,6,7,1,4,2,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,7,1,5,2,4] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,8,4,7,1,5,2,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,6,1,5,2,3] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,6,1,5,2,4] => [1,7,2,8,4,6,5,3] => [3,8,5,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,3,7,1,6,2,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,2,7,3,4] => [1,5,2,8,4,6,7,3] => [3,8,5,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,6,1,7,3,4] => [1,5,2,8,4,6,7,3] => [3,8,5,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,6,2,3,1,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,7,2,4,1,8] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,3,7,2,8,1,4] => [1,5,2,6,8,4,7,3] => [3,8,6,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,5,2,6,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,4,6,2,3,1,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,8,2,4,1,7] => [1,5,2,6,4,8,7,3] => [3,8,5,2,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,6,3,8,2,5,1,7] => [1,4,8,7,2,6,5,3] => [5,8,2,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,2,4,1,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,2,7,1,4] => [1,5,2,8,4,6,7,3] => [3,8,5,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,8,2,7,1,5] => [1,4,8,5,2,6,7,3] => [5,8,2,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,3,7,2,8,1,5] => [1,4,7,2,6,8,5,3] => [4,8,2,7,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,3,6,2,8,1,5] => [1,4,6,8,5,2,7,3] => [6,8,2,5,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,2,6,1,3] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,3,6,2,8,1,4] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,6,2,4,1,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,2,3,1,4] => [1,6,3,5,2,8,4,7] => [5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,3,8,2,4,1,5] => [1,6,4,8,5,2,7,3] => [6,8,3,5,2,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,3,4,2,6,1,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,4,2,8,1,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,2,3,1,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,4,7,2,3,1,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,4,7,2,3,1,5] => [1,6,3,4,7,2,8,5] => [6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,4,6,2,3,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,3,6,2,4,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[4,7,3,8,2,5,1,6] => [1,4,8,6,5,2,7,3] => [6,8,2,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,7,3,5,2,8,1,6] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,5,2,6,1,8] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,8,2,7,1,6] => [1,4,8,6,7,2,5,3] => [6,8,2,7,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,4,2,6,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,8,3,4,2,6,1,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,6,2,8,1,7] => [1,4,6,8,7,2,5,3] => [6,8,2,7,3,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,7,5,2,1,8,3,6] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,8,5,2,1,7,6,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,2,1,3,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,1,2,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,6,1,3,2,8,7] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,1,7,3,2,5] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,8,7,4,3,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,2,4,3,1] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,6,2,3,1,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,7,3,1,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,6,1,8,7,4,2,5] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,6,2,8,1,3,5] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,2,7,5,1,3] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,7,5,3,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,6,7,3,1,2,4] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,8,1,4,3,2] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,5,7,4,1,3,2] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,6,8,1,5,4] => [1,7,5,8,4,6,2,3] => [7,8,5,3,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,8,3,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,5,4,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,3,5,6,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,5,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,4,5,6,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,1,4,3,7,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,3,5,4,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,6,8,5,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,1,6,3,2,4,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,2,4,1,3,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,2,3,4,1,5,7] => [1,6,2,8,7,5,4,3] => [3,8,7,6,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,7,8,6,1,3] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,3,1,8,5,6,4] => [1,7,6,5,8,4,2,3] => [7,8,6,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,1,8,3,4,7,5] => [1,6,4,8,5,3,2,7] => [7,6,3,5,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,6,4,8,5,7,2] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,8,2,1,4,3,5,6] => [1,7,5,4,2,8,6,3] => [5,8,4,3,7,2,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,6,4,2,3,1,8,5] => [1,7,8,5,3,4,2,6] => [7,5,6,4,8,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,2,3,1,6,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,7,4,1,3,5,6] => [1,8,6,3,7,5,2,4] => [7,4,8,6,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,4,3,2,5,6] => [1,2,8,6,3,7,5,4] => [2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,3,8,2,4,7,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,4,2,6,3,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,7,4,5,3,8,6,2] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,1,2,5,8,7] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,1,4,2,7,5,8] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,3,2,6,7,1,4] => [1,8,4,2,5,6,7,3] => [4,8,3,5,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,3,1,4,5,8,6] => [1,7,8,6,5,4,2,3] => [7,8,6,5,4,2,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,1,5,2,8,7,3,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,5,1,3,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,7,5,4,2,8,3,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,1,4,8,2,7,3,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,7,4,5,2,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,1,2,8,4,6] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,2,8,7,1,3,4,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,1,5,8,2,7,3,6] => [1,4,8,6,7,3,5,2] => [8,6,2,7,4,5,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,1,2,7,4,6,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,4,7,2,6,8,3,5] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,4,2,7,8,3,6] => [1,5,7,3,4,2,6,8] => [6,4,5,2,7,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,1,2,7,6,4,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,7,1,8,2,4,6] => [1,5,8,6,2,3,7,4] => [5,6,8,2,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,3,4,2,5,6] => [1,2,8,6,3,7,5,4] => [2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,7,8,5,6,4] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,2,3,8,7,5,6,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,8,5,6,2,1,3] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,8,4,2,6,1,3] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,2,1,4,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,6,4,8,2,5,1,7] => [1,3,4,8,7,2,6,5] => [6,2,3,8,7,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,6,4,7,3,5,8,1] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,3,2,1,8,5,6] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,4,3,2,1,7,5,6] => [1,8,6,7,5,2,4,3] => [6,8,7,5,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,8,7,2,1,3] => [1,4,8,3,5,7,2,6] => [7,4,2,5,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,4,2,6,7,1,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,4,2,6,1,3] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,3,8,1,6,2,4] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,5,2,4,1,7,6,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,7,3,5,2,1,6,8] => [1,4,5,2,7,6,3,8] => [4,7,2,3,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,3,6,2,5,1,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,3,2,5,1,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,3,2,5,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,1,4,2,7,6,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,5,1,4,3,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,4,3,7,8,6] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,4,2,7,6,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,1,5,7,2,6,8] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,1,5,2,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,3,1,5,2,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,1,7,2,5,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,4,1,2,7,5,8] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,4,1,3,7,8,5] => [1,6,7,8,5,3,4,2] => [8,6,7,5,2,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,6,3,1,7,2,5,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,2,3,1,5,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,2,1,7,3,5,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,1,5,7,4,8] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,5,3,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,2,1,7,5,3,6,8] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,5,6,2,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,5,1,3,7,8,4] => [1,6,7,8,4,2,3,5] => [6,7,5,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,1,2,7,4,8] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,1,7,2,3,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,6,5,1,7,2,3,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,1,4,7,2,8] => [1,6,7,2,5,4,3,8] => [4,7,6,5,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,3,1,8,5,4,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,5,3,2,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,8,2,1,7,6] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,6,2,8,7,1,5] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,8,4,6,3,7,2,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,6,2,8,7,5,1] => [1,3,6,7,5,8,2,4] => [7,2,8,5,3,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,6,1,8,7,2,5] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,8,6,7,4,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,8,3,2,6,7,5,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,6,1,8,7,5,2] => [1,3,6,7,5,8,2,4] => [7,2,8,5,3,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,6,7,8,1,3,2] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,2,5,1,7,8,4,6] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,3,2,4,6,1,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,6,1,7,8,3] => [1,4,6,7,8,3,5,2] => [8,6,2,7,3,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,4,2,3,7,5,1,6] => [1,8,6,5,7,2,4,3] => [6,8,7,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,6,1,7,3,5,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,3,8,5,1,6] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,2,5,1,7,6,4,8] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,5,7,3,1,8,4,2] => [1,6,8,2,5,3,7,4] => [4,6,8,5,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,7,5,3,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,7,4,1,6,3,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,4,1,6,8,3] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,3,1,6,2] => [1,5,3,7,6,2,4,8] => [6,3,7,2,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,3,8,5,1,7,2] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,6,1,7,3,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,5,8,1,6,7,4] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,6,8,1,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,1,8,5,7,3] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,5,8,4,1,6,3,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,8,2,5,1,6,7,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,7,2,6,8,1,5] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,4,8,1,6,3] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,2,7,1,5,4,8] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,2,7,1,5,8,4] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,2,7,8,1,5,4] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,6,1,7,8,5,3] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,2,1,7,8,4,3] => [1,6,8,3,2,5,7,4] => [5,4,8,6,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,5,3,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,2,1,4,7,5,8] => [1,6,7,5,4,2,3,8] => [6,7,5,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,2,1,7,8,4,6] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,6,2,1,8,3,7,5] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,3,7,2,1,5,6] => [1,4,7,5,2,8,6,3] => [5,8,2,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,7,2,8,1,5,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,7,2,1,5,6,8] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,5,2,8,1,7,4,6] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,6,7,2,5,3,4,1] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,5,1,3,2,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,6,7,4,5,1,3,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,7,1,5,3,4,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,7,3,5,1,4,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,7,2,3,1,6,5] => [1,8,5,3,7,6,2,4] => [7,4,8,3,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,2,3,1,8,5,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,8,6,7,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,1,7,5,6,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,7,2,6,1,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,7,3,5,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,1,3,2,7,5,6,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,7,2,6,3,5,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,7,1,6,2,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,1,6,3,5,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,7,3,6,1,5,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,8,6,3,2,7,1] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,8,7,3,6,2,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,8,4,6,5,3] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,7,8,4,6,5,2] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,7,8,4,2,5,1] => [1,3,7,5,4,8,2,6] => [7,2,5,4,8,3,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,8,3,7,1,6,5,4] => [1,2,8,4,7,5,3,6] => [2,7,4,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,7,8,4,6,5,1] => [1,3,7,5,4,8,2,6] => [7,2,5,4,8,3,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,2,5,8,3,4,6,1] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,5,4,3,1,7] => [1,6,3,8,7,2,4,5] => [6,3,7,8,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,2,3,1,7] => [1,6,3,8,7,2,4,5] => [6,3,7,8,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,2,4,6,1] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,8,5,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,7,6,8,4,3,5,1] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,1,8,3,4,6,2] => [1,5,3,2,7,6,4,8] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,7,5,8,3,4,6,2] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,3,4,2,1] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,8,1,5,3,2,7] => [1,4,2,6,3,8,7,5] => [3,5,2,8,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,7,3,8,5,4,6,2] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,3,8,4,6,5,1] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,3,8,4,6,5,2] => [1,7,5,4,8,2,3,6] => [6,7,4,3,8,2,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,8,5,4,3,1,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,8,4,2,3,1,7] => [1,6,3,8,7,2,5,4] => [6,3,8,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,1,3,2,8,5,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,3,2,8,5,4,6,1] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,2,5,3,1,7] => [1,6,3,8,7,2,4,5] => [6,3,7,8,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,5,3,1,7] => [1,6,3,8,7,2,4,5] => [6,3,7,8,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,8,5,4,6,1] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,8,5,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[8,1,5,3,2,4,6,7] => [1,8,7,6,4,3,5,2] => [8,6,5,7,4,3,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,2,4,8,5,3,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,7,4,8,3,6] => [1,5,4,7,3,2,6,8] => [6,5,3,2,7,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,8,7,5,3,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,4,3,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,1,2,8,7,3,5] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,6,1,4,2,8,3,5] => [1,7,3,2,6,8,5,4] => [4,3,8,7,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,6,2,8,4,3,5] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,3,5,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,2,5,8,3,7,4,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,8,7,4,5,3,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,6,2,7,4,3,5] => [1,8,5,7,3,6,4,2] => [8,5,7,3,6,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,1,2,8,6,4,3,5] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,2,8,6,3,5] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,3,4,1,6,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,7,3,4,1,8,2,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,4,1,6,2,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,4,1,6,2,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,7,3,4,1,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,2,8,3,5,1,7] => [1,4,8,7,2,6,5,3] => [5,8,2,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,5,1,6,2,8] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,5,1,8,2,6] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,3,1,7,4,8] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,8,3,7,2,6] => [1,4,8,6,7,2,5,3] => [6,8,2,7,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,7,3,8,1,5] => [1,4,7,2,6,8,5,3] => [4,8,2,7,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,7,3,8,1,4] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,3,2,1,4,8,7] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,2,4,5,3,1,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,6,1,4,5,2,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,6,8,5,7,4,3] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,4,1,6,3,2] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,8,1,2,5,6,7,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,7,1,4,2,6,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,4,1,6,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,4,2,6,1,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,5,1,7,2,4] => [1,6,7,2,8,4,5,3] => [4,8,6,7,2,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,1,5,8,3,6,7,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,2,1,5,6,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,4,7,6,2,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,1,6,2,7,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,7,2,6,4,8,1] => [1,3,7,8,2,5,6,4] => [5,2,8,6,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,7,3,6,1,4,2] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,7,1,6,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,3,2,7,6,5,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,2,3,1,7,6,5,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,3,2,1,7,6,5,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,2,7,1,6,5,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,7,2,1,6,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,5,8,1,3,2] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,5,7,8,1,6,4,3] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,7,8,2,6,4,3] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,5,7,1,2,6,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,7,2,6,5,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,7,8,6,1,4,2] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,1,2,7,6,5,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,7,1,2,6,4,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,1,8,4,5,2,3] => [1,6,5,4,8,3,2,7] => [7,6,4,3,2,8,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,7,1,5,8,3,6,4] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,4,5,7,6,2,3] => [1,8,3,4,5,7,2,6] => [7,3,4,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,6,1,8,2,7,4] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,1,2,8,7,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,2,5,1,8,3,7,4] => [1,6,3,5,8,4,2,7] => [7,3,6,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,6,1,3,8,7,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,1,4,3,8,6,5] => [1,7,6,8,5,3,2,4] => [7,6,8,5,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,1,4,2,8,6,5] => [1,7,6,8,5,2,3,4] => [6,7,8,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,2,7,3,6,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,1,2,3,8,6,5] => [1,7,6,8,5,3,2,4] => [7,6,8,5,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,1,2,4,8,6,5] => [1,7,6,8,5,4,2,3] => [7,8,6,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,1,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => [8,7,6,5,3,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,4,1,6,5,3,8,7] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,6,5,1,3,8,7] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,5,8,1,7,3] => [1,4,5,8,3,6,2,7] => [7,5,2,3,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,5,8,1,3,7] => [1,4,5,8,7,3,6,2] => [8,6,2,3,7,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,4,6,8,1,5,3,7] => [1,2,4,8,7,3,6,5] => [2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,6,8,5,3,1,7] => [1,4,8,7,2,3,6,5] => [5,6,2,8,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,8,5,1,3,7] => [1,4,8,7,3,6,2,5] => [7,5,2,8,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,6,8,3,5,1,7] => [1,2,4,8,7,3,6,5] => [2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,6,8,3,1,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,2,5,8,7,3,1] => [1,4,5,8,2,6,7,3] => [5,8,2,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,6,3,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,2,8,5,7,1,3] => [1,4,8,3,2,6,7,5] => [5,4,2,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,8,7,1,3,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,8,7,5,3,1] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,6,4,8,1,7,5,3] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,4,8,7,3,5] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,4,5,8,2,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,1,7,4,5,8,3,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,3,1,7,5,8,2,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,3,7,1,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,1,3,7,2,4,5] => [1,6,2,8,5,7,4,3] => [3,8,7,5,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,2,1,7,3,4,6] => [1,5,7,4,2,8,6,3] => [5,8,4,2,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,4,1,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,5,2,1,8,6,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,4,8,7,1,3,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,4,8,7,2,3,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,3,2,1,5,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,7,2,5,1,8,3,6] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,1,4,8,5,6] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,7,6,1,3,8,5] => [1,4,6,3,7,8,5,2] => [8,4,2,7,3,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,2,6,8,1,3,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,6,8,1,7,3,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,6,4,8,7,1,2] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,5,4,8,6,3] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,8,5,4,6,1,2] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,5,4,8,1,2] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,2,1,5,4,8,7,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,6,4,3,2,8] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,6,1,5,8,2,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,1,5,7,3,8,4] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,6,1,7,4,3,2,8] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,7,8,4,3,2,5] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,8,5,6,3,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,8,5,7,2,4] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,6,4,8,7,2,5] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,5,8,3,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,5,4,1,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,8,4,3,2,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,5,7,1,4,3,2,8] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,8,7,1,4,3,2,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,4,6,1,3,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,6,4,5,1,3,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,6,2,5,4,1,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,1,2,5,4,7,8,3] => [1,6,7,8,3,2,4,5] => [6,5,7,8,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,3,6,8,1,7,2,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,7,2,5,8,1,3] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,4,1,6,3,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,5,4,6,2,8,1,3] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,4,3,6,7,2] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,4,6,2,7,8,1,3] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,2,7,1,4,8] => [1,5,7,4,2,6,3,8] => [5,7,4,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,2,7,1,8,4] => [1,5,7,8,4,2,6,3] => [6,8,5,2,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,1,6,3,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,2,1,8,4,7] => [1,5,2,6,8,7,4,3] => [3,8,7,2,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,4,3,2,1,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,7,2,1,8,6,3] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,5,8,3,2,6,1,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,3,2,1,6,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,2,5,1,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,3,5,2,1,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,5,2,1,4,7,6,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,3,5,2,1,8,4,6] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,4,1,3,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,4,1,3,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,8,2,1,7,4,5] => [1,3,8,5,2,6,7,4] => [5,2,8,4,6,7,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,3,8,2,1,4,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,5,2,1,4,6,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,8,3,5,4,6,1,2] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,6,3,7,5,2,4,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,3,2,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,2,3,8,7] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,1,6,2,8,3,4] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,2,8,4,3] => [1,5,2,7,4,6,8,3] => [3,8,5,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,6,5,1,8,4,3] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,5,1,4,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,4,1,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,3,6,1,5,4,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,3,8,4,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,3,6,2,8,4,1] => [1,5,2,7,4,6,8,3] => [3,8,5,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,5,1,8,6,2,4] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,7,6,1,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,5,8,7,3,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,4,8,1,6,2] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,8,7,5,6,1] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,7,5,1,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,8,4,1,2] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,8,1,2,4] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,5,8,7,3,2] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,1,6,3,8,2,4] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,5,8,2,3,6] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,3,6,1,8,4,2] => [1,5,2,7,4,6,8,3] => [3,8,5,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,5,8,6,3,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,3,5,4,8,6,2,1] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,5,6,1,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,8,7,1,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,1,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,1,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,4,8,5,1,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,5,8,2,1,6] => [1,7,2,4,5,8,6,3] => [3,8,4,5,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,5,8,3,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,8,1,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,8,1,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,7,2,5,3,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,7,1,5,3,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,7,5,6,2,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,4,7,5,6,1,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,5,1,8,6,2,3,4] => [1,7,3,2,5,6,4,8] => [4,3,7,5,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,6,1,5,2,3] => [1,7,2,4,6,5,3,8] => [3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,8,3,5,6,2,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,6,2,5,1,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,4,2,8,6,1,3,5] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,8,2,6,3,4] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,1,4,8,5,2,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,3,5,6,8,1] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,7,3,6,8,5,1] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,1,4,8,2,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,2,3,8,4,6,7,1] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,7,8,3,6,2,5] => [1,2,4,8,5,3,7,6] => [2,6,3,5,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,3,8,1,2,7,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,1,4,7,2,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,8,1,3,6,2,7,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,4,2,6,8,3] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,4,2,6,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,2,8,7,3,4] => [1,6,7,3,2,5,8,4] => [5,4,8,6,2,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,5,3,1,4,2,8,7] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,5,8,2,7,1,6] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,1,2,5,6,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,8,4,7,2,1] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,2,5,8,3,6,1] => [1,4,5,8,2,7,6,3] => [5,8,2,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,6,8,4,3,7,1] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,1,6,5,4,8,2,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,1,5,4,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,6,1,4,3,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,7,6,2,8,3,5,1] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,5,7,1,2,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,8,1,2,3] => [1,4,5,8,3,6,2,7] => [7,5,2,3,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,4,5,6,1,2] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,4,2,8,7,3] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,4,2,6,5,3] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,3,6,4,8,2,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,5,1,3,4,2,8,7] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,5,3,2,8,1,6] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,1,4,2,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,6,5,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,1,7,5,8,3] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,6,7,3,2,1,4] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,3,7,2,8,5] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,8,3,5,4,2,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,8,3,4,1,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,8,7,1,2,6,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,4,6,3,1,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,7,5,8,2,1,4,3] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,8,2,6,4,3] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,2,1,4,7,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,8,2,5,6,1,7,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,8,1,5,6,3,7,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,6,1,7,3,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[3,8,6,5,7,1,2,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,2,8,6,5,7,3,4] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,3,6,7,8,5] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,1,3,5,4,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,2,4,1,8,3] => [1,7,8,3,6,2,5,4] => [6,4,8,7,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,2,6,3,7,1,4] => [1,8,4,6,7,2,5,3] => [6,8,3,7,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,1,2,6,7,8,5] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,3,7,2,4] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,7,6,5,4,2,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,1,4,2,8,3] => [1,5,4,2,7,8,3,6] => [4,7,3,2,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,7,3,5,6,8,2] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,7,6,4,5,2,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,6,5,7,2,4] => [1,3,2,8,4,6,7,5] => [3,2,5,8,6,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,5,4,1,6,2,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,4,2,1,8,3] => [1,7,8,3,6,2,5,4] => [6,4,8,7,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,4,3,5,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,4,5,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,5,8,3,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,6,2,4,7,1,5,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,8,6,4,5,1,2] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,7,6,5,8,3,4] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,6,2,5,1,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,2,5,8,7,3,4] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,1,3,6,8,4,2,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,8,3,6,2,4] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,8,7,2,3,6,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,5,7,1,4,2,3,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,3,4,5,1,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,3,1,5,7,8] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,4,7,3,6,1,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,6,8,1,4,3,2] => [1,7,3,6,4,8,2,5] => [7,3,5,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,1,6,5,3,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,7,8,5,4,3,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,3,6,5,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[7,2,1,5,4,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,1,4,5,3,6] => [1,7,3,2,8,6,5,4] => [4,3,8,7,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,6,4,3,8,2] => [1,7,8,2,5,4,6,3] => [4,8,6,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,3,4,7,2] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,5,1,8,2,7,4,3] => [1,6,7,4,8,3,2,5] => [7,6,4,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,7,5,2,3,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,1,8,5,3,2,4] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,1,5,7,4,2,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,6,1,7,4,8,3] => [1,2,5,7,8,3,6,4] => [2,6,8,3,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,1,8,6,5,4,2,3] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,6,5,7,3,4,8,1] => [1,2,6,4,7,8,3,5] => [2,7,4,8,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,4,6,8,2,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,1,6,5,7,2,4,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,6,8,3,4,5] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,5,6,8,3,4] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,8,6,3,7,4,5,1] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,1,6,2,4,5,3] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[3,8,4,1,7,2,6,5] => [1,3,4,2,8,5,7,6] => [4,2,3,6,8,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,4,2,1,7,3,6,5] => [1,8,5,7,6,3,2,4] => [7,6,8,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,2,1,8,5,3,6] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,6,8,5,3,4,1] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,3,8,5,4,6,2,1] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,8,4,7,2,1] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,3,8,6,7,2,1] => [1,5,6,7,2,4,8,3] => [5,8,6,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,2,8,5,7,4,6,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,8,7,4,6,3,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,4,3,5,8,7] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,4,3,6,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,6,1,3,5,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,6,4,3,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,6,1,4,3,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,4,1,3,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,2,1,3,5,8,7] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,1,3,6,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,2,1,8,3,5,7] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,1,4,3,8,5,7] => [1,2,6,8,7,5,3,4] => [2,7,8,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,4,3,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,8,4,1,3,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,8,2,1,3,6,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,1,4,3,5,7] => [1,8,7,5,4,2,6,3] => [6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,6,4,8,3,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,1,6,8,3,5,7] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,1,6,3,8,5,7] => [1,4,6,8,7,5,3,2] => [8,7,2,6,3,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,1,4,3,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,2,1,8,3,6,5,7] => [1,4,8,7,5,3,2,6] => [7,6,2,5,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,1,6,3,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,8,1,3,6,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,4,1,8,3,6,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,8,3,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,4,8,6,3,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,6,4,1,3,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,8,2,1,3,5,7] => [1,4,2,6,3,8,7,5] => [3,5,2,8,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,6,8,4,1,3,5,7] => [1,2,6,3,8,7,5,4] => [2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,6,8,1,4,3,5,7] => [1,2,6,3,8,7,5,4] => [2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,6,4,1,3,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,1,3,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,2,1,3,5,7] => [1,6,3,4,2,8,7,5] => [5,3,4,8,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,2,4,3,8,1,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,3,6,1,5,2,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,5,2,8,1,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,8,5,6,2] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,1,6,3,8,4,5,2] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,1,8,4,6,3,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,3,4,2,7,5] => [1,8,5,4,3,6,2,7] => [7,5,4,3,6,8,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,3,5,1,7,2,6,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,5,2,6,4,8,1] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,2,4,3,8,1] => [1,6,3,7,8,2,5,4] => [6,3,8,7,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,2,4,1,5,3] => [1,7,5,4,2,6,3,8] => [5,7,4,3,6,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,1,3,2,8,5,6,4] => [1,7,6,5,8,4,2,3] => [7,8,6,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,7,2,6,3,8,1] => [1,5,6,3,7,8,2,4] => [7,4,8,2,3,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,1,6,5,8,3,7,4] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,1,7,4,8,3,5,2] => [1,6,3,7,5,8,2,4] => [7,3,8,5,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,1,5,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,3,4,7,1,8,6] => [1,2,5,7,8,6,3,4] => [2,7,8,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,3,2,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,4,3,8,5,2,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,8,1,7,3,5,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,7,3,5,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,7,1,3,6,2,4,5] => [1,8,5,6,2,7,4,3] => [5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,2,6,3,5,4,1] => [1,8,2,7,4,6,5,3] => [3,8,5,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,7,4,5,6,3] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,5,7,6,4,3,1] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,7,8,5,2,6,4,3] => [1,2,7,4,5,3,8,6] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,6,1,5,3,2,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,8,6,1,5,2,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,5,2,7,4,3,1,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,7,2,1,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,6,3,7,1,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,3,7,1,4,2,6] => [1,8,6,4,7,2,5,3] => [6,8,4,7,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,7,1,8,4,2] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,1,4,6,8,3,7,2] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,7,1,2,6,5] => [1,4,7,6,2,8,5,3] => [5,8,2,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,2,5,7,6,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,3,6,2,1,4,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,6,2,1,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,1,7,4,5,8,2,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,7,3,6,1,2,8,4] => [1,5,2,7,8,4,6,3] => [3,8,6,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,4,7,1,6,5,8,3] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,7,6,2,4,3,1] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,6,2,1,4,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,6,4,2,3,1] => [1,5,4,6,2,8,3,7] => [5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,7,6,4,2,1,3] => [1,5,4,6,2,8,3,7] => [5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,7,6,4,1,3,2] => [1,5,4,6,2,8,3,7] => [5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,4,2,1,6,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,2,6,1,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,1,5,6,4,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,8,3,1,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,6,7,8,3,2,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,4,1,2,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,6,2,7,8,1,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,2,7,8,5,1] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,6,7,2,8,5,1] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,1,7,8,2,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,6,7,1,8,5,2] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,1,7,8,5,2] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,3,7,4,8,2,6] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,4,8,2,6,3,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,4,8,3,7,2,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,4,5,3,6,2] => [1,7,6,3,2,8,4,5] => [5,4,7,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,1,6,4,7,2] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,8,2,6,3,5] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,4,2,6,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,4,1,6,5,3] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,3,6,5,1,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,8,3,5,4,7] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,3,8,1,4,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,6,3,8,7,1,5,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,5,1,8,3,4,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,8,3,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,4,8,3,7,1,6,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,8,3,7,6,1,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,3,8,1,7,4,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,1,3,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,1,4,8,2,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,8,2,3,7,6,1,5] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,8,2,3,7,1,6,5] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,4,8,3,7,2,6,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,8,1,2,4,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,3,8,2,4,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,3,8,2,4,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,2,7,6,3] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,8,2,7,6,3] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,8,1,2,7,6,3] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,7,2,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,2,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[3,4,8,1,2,7,6,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,3,1,2,5,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,2,1,5,3,6,4] => [1,7,6,3,2,8,4,5] => [5,4,7,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,5,4,2,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,5,4,6,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,2,1,5,4,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,3,6,1,4,7,8,2] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,6,2,4,7,1,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,7,1,8,3,6,5] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,1,6,7,4,8,5,2] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,6,5,3,8,4,2] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,5,2,4,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,3,1,4,8] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,4,8,5,1,2] => [1,3,6,5,8,2,7,4] => [6,2,8,4,3,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,7,6,3,8,4,1,2] => [1,5,8,2,7,3,6,4] => [4,6,8,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,2,1,3,8] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,2,8,1,3] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,1,8,3,2] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,5,3,2,8,4] => [1,2,7,8,4,5,3,6] => [2,7,5,6,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,1,2,8,3] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,5,4,8,7,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,1,6,2,4,7,8,3] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,2,4,8,3,6,5] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,1,8,2,6,3,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,2,1,5,3,6,8] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,1,2,5,3,8,6] => [1,4,2,7,8,6,3,5] => [3,7,2,8,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,5,8,2,4,3] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,1,7,6,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,3,2,8,1,5,7] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,4,3,2,8,1,6] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,2,3,7,5,4] => [1,2,8,4,3,6,7,5] => [2,5,4,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,3,2,7,5,4] => [1,2,8,4,3,6,7,5] => [2,5,4,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,1,7,2,5,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,2,6,8,4,1,5] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,4,7,1,3,6,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,8,2,3,7] => [1,5,8,7,3,2,4,6] => [6,5,7,2,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,4,8,1,7,6,2,3] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,7,8,1,5,3,2] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,8,5,2,4,1] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,8,7,1,3,6,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,2,1,6,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,7,3,8,6,5,1,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,4,3,2,1] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,2,4,6,3,8,7] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,1,2,6,5,3,8,7] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,7,8,3,2,6] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,7,4,8,2,3,6] => [1,5,8,6,2,3,7,4] => [5,6,8,2,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,4,7,2,3,6] => [1,5,7,3,8,6,2,4] => [7,4,8,2,6,3,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,1,8,7,5,2,3,6] => [1,4,7,3,8,6,2,5] => [7,4,2,8,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,6,3,2,8,5] => [1,4,6,2,7,8,5,3] => [4,8,2,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,2,3,8,6,5,4] => [1,7,5,8,4,3,2,6] => [7,6,5,3,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,1,2,3,5,7,6,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,2,3,6,7,5,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,2,3,6,8,5,4] => [1,7,5,6,8,4,3,2] => [8,7,6,3,4,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,2,3,6,5,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,5,4,3,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,6,3,4,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,7,2,8,3,4,1,5] => [1,6,4,8,5,3,2,7] => [7,6,3,5,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,7,5,4,3,2,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,4,5,3,2,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,3,8,7,4,5] => [1,6,7,4,3,2,5,8] => [6,5,4,7,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,6,3,2,4,7,1,5] => [1,8,5,4,2,6,7,3] => [5,8,4,3,6,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,6,2,4,3,1,8,5] => [1,7,8,5,3,2,6,4] => [6,5,8,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,1,2,6,3,5,4] => [1,7,5,6,3,2,8,4] => [6,5,8,3,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,6,8,4,7,1,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,8,1,7,3,6,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,4,8,5,7,6,1,2] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,1,7,3,5,4,2] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,6,5,4,2,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,6,5,4,2,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,1,4,6,3,5,8] => [1,7,5,6,3,2,4,8] => [6,5,7,3,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,2,7,3,5,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,4,1,7,6,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,3,1,8,7,2,5,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,4,7,2,6,3] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,4,6,1,2,3] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,1,2,4,7,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,2,4,3,1,8,7] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,2,5,8,7,4,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,8,7,1,3,6] => [1,4,8,6,2,5,7,3] => [5,8,2,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,7,6,2,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,5,8,7,4,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,8,2,6,5,3] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,7,8,2,6,5,4] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,7,8,1,6,5,4] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,8,3,7,1,5,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,4,7,1,5,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,2,4,7,1,6,3] => [1,8,3,2,5,7,6,4] => [4,3,8,5,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,8,3,7,2,5,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,4,7,2,6,3] => [1,8,3,2,5,7,6,4] => [4,3,8,5,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,6,8,2,7,5,3] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,2,8,1,7,4,3] => [1,5,2,6,7,4,8,3] => [3,8,6,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,4,5,7,2,6,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,3,6,1,2,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,7,3,1,5,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,5,7,1,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,7,2,6,1,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,3,4,6,2,5] => [1,8,5,4,3,2,7,6] => [6,5,4,3,8,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,8,4,5,7,1,6,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,2,6,1,3] => [1,8,3,4,5,2,7,6] => [6,3,4,5,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,3,4,6,1,5] => [1,8,5,4,3,2,7,6] => [6,5,4,3,8,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,7,2,3,6,1,4,5] => [1,8,5,6,2,7,4,3] => [5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,2,8,5,4,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,8,2,7,5,1] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,4,1,8,2,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,1,4,5,2,3,7,6] => [1,8,6,3,4,5,2,7] => [7,4,5,6,3,8,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,4,3,2,8,7,5,1] => [1,6,7,5,8,2,4,3] => [6,8,7,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,5,7,1,3,8,4] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,6,2,1,8,3] => [1,7,8,3,4,6,2,5] => [7,4,5,8,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,1,7,8,2,3] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,6,7,2,3,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,1,6,8,7,2,5] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,8,7,2,4,1] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,5,6,3,1,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,6,7,4,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,5,7,6,8,3,1,2] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,7,6,8,3,2] => [1,5,6,8,2,4,7,3] => [5,8,6,2,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,5,8,3,2,1] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,4,3,1,8,2] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[3,6,7,5,1,4,8,2] => [1,3,7,8,2,6,4,5] => [5,2,7,8,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,6,7,5,4,2,3] => [1,8,3,6,4,7,2,5] => [7,3,5,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,3,1,7,2,4,5] => [1,8,5,7,4,2,6,3] => [6,8,5,3,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,2,4,7,3,5] => [1,8,5,4,2,6,7,3] => [5,8,4,3,6,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,5,1,2,6,7,3,4] => [1,8,4,2,5,6,7,3] => [4,8,3,5,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,1,6,4,2,7,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,1,3,4,6,2] => [1,5,3,8,2,7,6,4] => [5,3,8,2,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,1,7,3,4,6,2] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,2,7,6,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,8,7,5,3,4] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,1,2,4,8,7,5,3] => [1,6,7,5,8,3,2,4] => [7,6,8,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,2,4,6,8,5,3] => [1,7,5,6,8,3,2,4] => [7,6,8,3,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,3,7,1,2,6,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,1,7,2,4,6,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,6,7,4,5,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,8,4,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,5,8,6,4,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,1,7,8,4,6,5,2] => [1,3,7,5,4,8,2,6] => [7,2,5,4,8,3,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,1,2,7,4,6,5,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,2,7,3,6,5,4] => [1,8,4,7,5,3,2,6] => [7,6,3,5,8,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,3,5,8,7,4,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,3,1,4,2,6] => [1,7,2,8,6,4,3,5] => [3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,5,6,3,1,4,8,2] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,5,3,6,4,1,8,2] => [1,7,8,2,5,4,6,3] => [4,8,6,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,1,8,4,6,2] => [1,7,6,4,2,5,8,3] => [5,8,4,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,3,1,8,2,4,6] => [1,7,4,2,5,8,6,3] => [4,8,3,5,7,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,3,1,8,4,2,6] => [1,7,2,5,8,6,4,3] => [3,8,7,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,8,6,1,4,2] => [1,7,4,8,2,5,6,3] => [5,8,3,6,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,8,3,6,1,4,2] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,8,3,1,6,4,2] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,8,3,1,6,2,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,6,1,4,2,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,6,4,1,2,8] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,8,6,3,1,2,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,8,6,3,4,1,2] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,4,1,6,2,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,4,1,8,2,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,4,6,1,8,2] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,5,4,1,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,2,8,4,7,6,1] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,4,7,3,2,8,6,1] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,8,3,2,7,6,1] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,2,1,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,2,8,4,7,6,1] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,5,8,4,7,6,3] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,8,6,7,5,4,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,7,3,6,5,2,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,6,3,7,5,2,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,6,8,5,4,1] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,2,5,4,7,6,1] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,8,3,6,5,2,1] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,3,2,8,6,1] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,5,4,8,6,1] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,1,7,5,4,8,6,3] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,4,3,6,5,2,1] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,8,4,3,7,5,2,1] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,3,5,7,1,2] => [1,4,3,8,2,6,7,5] => [5,3,2,8,6,7,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,8,1,2,4,5,7,3] => [1,6,5,4,2,8,3,7] => [5,7,4,3,2,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,3,5,2,4,1,6,7] => [1,8,7,6,2,3,5,4] => [5,6,8,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,7,3,6,1,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,8,3,1,6,7] => [1,4,8,7,6,2,5,3] => [6,8,2,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,6,8,4,7,3,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,5,8,3,6,7,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,6,8,4,7,1,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,6,2,7,5,1,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,7,1,4,2,6,3] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,4,3,5,2,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,1,5,2,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,7,5,3,1,2] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,2,6,8,5,4] => [1,7,5,6,8,4,2,3] => [7,8,6,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,1,8,5,4,7] => [1,6,5,8,7,4,2,3] => [7,8,6,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,3,7,4,1,8] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,1,2,4,5,3] => [1,8,3,6,4,2,7,5] => [6,3,5,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,7,6,2,1,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,6,5,2,1,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,6,3,5,2,4,1,8] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,5,6,2,4,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,7,5,4,1,2] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,1,7,5,4,3,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,7,5,4,3,1,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,6,5,4,1,2] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,6,1,7,4,3,2,5] => [1,8,5,4,7,2,6,3] => [6,8,4,3,7,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,4,8,3,1,6,2,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,4,6,8,7,2,5] => [1,3,4,6,7,2,5,8] => [6,2,3,7,4,5,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[1,6,3,8,7,2,5,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,3,7,2,6,8,4,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,3,8,2,1,6,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,5,2,1,8,6,4] => [1,7,6,8,4,2,3,5] => [6,7,5,8,3,2,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,7,6,4,1,5,2,3] => [1,8,3,6,5,2,7,4] => [6,3,8,5,4,7,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,6,2,8,7,3,5,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,8,5,4,7,1,3,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,6,4,3,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,8,3,6,5,4] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,5,8,3,4,6,2] => [1,7,6,4,8,2,3,5] => [6,7,4,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,4,5,7,3,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,4,5,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,4,3,8,2,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,6,5,4,3,2,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,4,8,7,1,3] => [1,5,8,3,2,6,7,4] => [5,4,8,2,6,7,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,3,8,2,4,7,1,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,4,2,8,5,1,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,2,5,8,1,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,1,7,6,8,2,5] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,1,7,5,6,8,2] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,5,2,8,1,6,3] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,4,3,1,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,2,3,4,1,6,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,2,1,3,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,5,2,1,7,4,8] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,7,2,5,3,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,6,2,4,7,3,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,6,2,4,7,8,3] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,8,2,4,7,3,6] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,6,5,7,2,4,3,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,7,2,4,3,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,2,4,8,3] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,8,2,4,6,7,3] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,7,8,3,2,4,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,6,2,8,3,4,5] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,7,3,2,4,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,2,8,6,5,3] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,7,6,5,2,8,4,3] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,2,8,4,3,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,6,2,8,3,4] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,7,6,2,4,8,3] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,3,2,4,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,2,3,7,4,8] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,3,5,2,8,4,6] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,5,2,3,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,2,3,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,2,4,7,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,7,4,2,8,5,3,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,7,4,2,3,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,2,3,8,5,7] => [1,2,6,8,7,5,3,4] => [2,7,8,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,6,1,4,8,2] => [1,3,5,2,7,8,4,6] => [4,2,7,3,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,4,1,6,7,5,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,4,1,6,7,8,2] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,1,4,7,6,5,8,2] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,1,7,4,3,5,8,2] => [1,6,5,3,7,8,2,4] => [7,4,8,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,1,2,8,5,6] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,3,2,1,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,4,3,7,2,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,8,3,2,1,4] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,3,4,2,8,5,6] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,3,8,2,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,1,4,3,7,2,5,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,7,8,6,1,5] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,5,6,3,8,1,4] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,2,6,3,8,1,4] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,6,8,4,1,3] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,3,2,1,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,7,4,6,5,8,1,2] => [1,3,4,6,8,2,7,5] => [6,2,3,8,4,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,4,8,6,7,1,2] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,8,1,5,4,6,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,2,7,6,8,4,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,6,2,4,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,4,2,6,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,4,2,5,3,6] => [1,7,3,2,8,6,5,4] => [4,3,8,7,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,2,4,3,5,6] => [1,7,5,4,2,8,6,3] => [5,8,4,3,7,2,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,6,2,3,8,7,4,5] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,2,6,5,3,7,4,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,2,8,6,4] => [1,2,7,6,8,4,3,5] => [2,7,6,8,4,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,1,4,3,2,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,4,3,8,5,2] => [1,7,5,3,2,6,8,4] => [5,4,8,3,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,5,8,3,1,7,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,5,1,3,2,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,8,2,4,3,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,5,4,7,2,1,6] => [1,3,5,7,2,8,6,4] => [5,2,8,3,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,4,5,8,3,7,6,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,5,4,1,2,7,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,8,5,2,3,7,6,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,2,7,1,3] => [1,6,7,2,4,5,3,8] => [4,7,5,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,8,2,1,7,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,5,8,1,2,7,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,5,2,1,7,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,7,5,6,1,3,2] => [1,4,5,6,2,8,3,7] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,1,8,4,3,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,5,3,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,5,8,2,7,3] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,7,3,6,1,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,6,7,4,1,2] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,7,1,8,5,6,3] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,1,7,2,8,5,6,3] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,2,3,4,8,5,6,1] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,1,8,5,2,7,4,3] => [1,6,7,4,5,2,3,8] => [6,7,4,5,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,4,5,8,6,3] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,8,3,6,7,5,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,8,5,3,7,1] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,3,5,8,4,2,1,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,7,5,6,1,2,3] => [1,4,5,6,2,8,3,7] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,4,3,5,6,1] => [1,7,6,5,3,8,2,4] => [7,5,8,4,3,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,5,2,8,3,1,7] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,5,2,7,4,3,1] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,5,4,3,8,1,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,2,3,4,7] => [1,5,2,8,7,4,6,3] => [3,8,6,2,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,5,8,2,3,7] => [1,4,5,8,7,3,6,2] => [8,6,2,3,7,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,3,6,1,4,5,2,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,4,3,8,1,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,8,4,3,7,6,1,2] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,3,1,6,2,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,3,8,6,2,5] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,5,3,4,8,2,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,1,7,4,5,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,8,7,4,3,5,2] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,3,4,7,2] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,5,8,6,3,4,7,1] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,6,5,2,8,1,7,3] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,8,1,3,6,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,5,2,3,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,2,5,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,1,5,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,2,5,6,7,1] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,3,5,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,1,2,3,7,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,7,1,8,6,3,5] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,3,6,7,4,1,2] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,3,2,8,5,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,5,1,7,2,3,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,3,6,5,8,2,1,4] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,3,5,8,2,1,4] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,8,3,7,5,4] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,4,8,1,7,3] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,4,8,2,6,7,3] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,4,8,2,6,7,3] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,1,5,8,6,3,4] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,8,3,7,6,1,2] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,4,8,5,1,7,2] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,8,1,6,7,2] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,5,8,4,6,1,3,2] => [1,7,3,8,2,5,6,4] => [5,3,8,6,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,4,1,8,2,7,3] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,4,7,8,1,3,2] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,1,5,3,8,2,6] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,4,1,5,3,2,6,8] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,1,5,4,3,2,6,7] => [1,8,7,6,2,3,5,4] => [5,6,8,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,8,1,4,7,2] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,1,5,3,2,8,6] => [1,7,8,6,2,4,5,3] => [5,8,6,7,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,1,5,2,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,4,1,5,3,6,2,8] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,1,5,4,3,6,2,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,1,5,7,8,2] => [1,6,7,8,2,4,3,5] => [5,7,6,8,2,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,7,3,8,4,5,1,2] => [1,6,5,4,8,2,7,3] => [6,8,4,3,2,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,8,3,6,5,7,1,2] => [1,4,6,7,2,8,3,5] => [5,7,2,8,3,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,7,3,8,2,4] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,1,6,5,7,2,3] => [1,4,6,7,2,8,3,5] => [5,7,2,8,3,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,5,1,6,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,6,2,8,1,4,3,7] => [1,5,2,6,4,8,7,3] => [3,8,5,2,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,8,3,4,1,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,8,3,6,2,7,4,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,4,7,3,5,1,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,7,5,6,3,8,2,4] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,5,6,3,4,1,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,7,2,8,1,4,3,5] => [1,6,4,8,5,2,7,3] => [6,8,3,5,2,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,1,7,5,8,4,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,6,1,4,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,8,2,7,3,6] => [1,4,8,6,7,3,2,5] => [7,6,2,8,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,6,1,8,2,7] => [1,4,6,8,7,2,5,3] => [6,8,2,7,3,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,1,5,8,4,6,2,3] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,1,7,3,2,5,4] => [1,8,4,7,5,3,2,6] => [7,6,3,5,8,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,1,3,8,5,2,4] => [1,7,2,6,5,8,4,3] => [3,8,7,5,4,2,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,6,2,3,8,5,1,4] => [1,7,2,6,5,8,4,3] => [3,8,7,5,4,2,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,5,2,3,1,7,6,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,2,7,3,1,5,4] => [1,8,4,7,5,3,2,6] => [7,6,3,5,8,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,2,1,7,6,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,7,2,1,4,3,6] => [1,8,6,4,2,5,3,7] => [5,7,4,6,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,7,4,1,2,6,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,1,7,2,6,5] => [1,8,5,7,6,2,4,3] => [6,8,7,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,1,3,2,7,6,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,7,4,1,2,6,3] => [1,8,3,7,6,2,5,4] => [6,3,8,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,6,4,7,2,5,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,7,1,5,4,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,2,1,7,6,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,7,3,1,6,2,4,5] => [1,8,5,6,2,7,4,3] => [5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,3,1,2,6,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,1,6,7,5,3,4,2] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,7,6,3,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,8,5,3,2,1] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,7,1,5,2,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,6,7,3,1,5] => [1,4,6,3,8,5,7,2] => [8,4,2,6,3,7,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,7,5,8,1,6,3,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,1,6,7,8,3] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,4,2,5,3,1] => [1,7,3,8,2,6,5,4] => [5,3,8,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,6,5,8,4,7,3] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,4,8,7,3,5,1] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,8,6,3,2,5,1] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,2,1,3,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,8,4,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,4,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,2,3,6,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,2,4,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,8,4,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,8,2,3,5,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,8,2,4,5,3,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,4,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,7,8,2,4,3,6,5] => [1,2,7,6,3,8,5,4] => [2,5,8,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,1,5,2,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,4,8,5,1,2,7,3] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,8,5,7,1,2,3] => [1,4,5,7,2,6,3,8] => [5,7,2,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,6,1,8,2,3] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,4,6,1,8,2,3] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,1,6,8,2,4] => [1,5,6,8,4,2,7,3] => [6,8,5,2,3,7,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,8,3,1,7,6,2,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,4,8,1,6,2,3] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,6,8,1,7,2,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,6,7,8,5,1,2,3] => [1,4,8,3,7,2,6,5] => [6,4,2,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,1,6,2,3] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,7,8,6,3,4] => [1,5,8,4,7,3,2,6] => [7,6,4,2,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,7,1,6,2,3] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,3,7,5,4,1,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,6,5,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,3,1,8,6,4,7] => [1,2,5,8,7,4,3,6] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,8,3,4,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,3,8,7,4,5] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,6,4,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,7,5,4,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,6,4,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,7,6,3,8,4,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,3,7,6,4,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,5,4,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,3,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,2,8,3,1,6,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,5,4,8,3,1,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,8,7,4,2,3,5,6] => [1,2,8,6,3,7,5,4] => [2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,8,4,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,6,3,8,4,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,4,2,7,3,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,7,4,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,7,6,4,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,8,1,6,4,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,6,4,7,1,5,3,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,5,7,1,4,3,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,3,8,1,6,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,1,7,5,6,4,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,8,1,6,5,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,2,1,4,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,7,5,2,8,6] => [1,4,7,8,6,2,3,5] => [6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,6,7,1,4,3,2] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,2,3,4,1] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,2,4,3,1] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,1,2,4,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,7,1,3,2,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,7,5,1,3,8] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,6,7,3,1,2,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,7,5,2,3,8] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,6,7,2,3,1,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,3,2,4,1] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,7,3,1,4,2] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,7,3,2,1,5] => [1,4,7,2,8,5,3,6] => [4,7,2,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,1,4,2,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,8,1,6,5,4,2,7] => [1,3,2,8,7,4,6,5] => [3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,3,7,5,8,2,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,3,8,4,2,5] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,6,3,5,2,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,8,6,2,7,5,4] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,2,7,8,4,5] => [1,6,8,5,7,4,2,3] => [7,8,6,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,2,6,8,1,5,3] => [1,4,6,2,7,5,8,3] => [4,8,2,6,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,4,1,6,8,3,5] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,2,7,6,1,3] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,2,6,3,4,1,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,8,1,4,7,5,2] => [1,6,7,5,4,2,3,8] => [6,7,5,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,1,8,5,7,2,3] => [1,4,8,3,2,6,7,5] => [5,4,2,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,5,8,6,2,4] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,8,1,5,7,2,4] => [1,3,8,4,2,6,7,5] => [5,2,4,8,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,1,2,5,8,6,3,4] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,2,5,8,6,3,4] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,6,8,2,3,5,4] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,1,5,8,6,3,4] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,7,6,8,3,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,8,2,1,5,4] => [1,3,6,2,7,5,4,8] => [4,2,7,6,3,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,2,1,6,8,5,3] => [1,7,5,6,8,3,2,4] => [7,6,8,3,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,3,7,6,8,1,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,8,1,2,5,4] => [1,3,6,2,7,5,4,8] => [4,2,7,6,3,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,7,6,8,2,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,2,6,8,5,3] => [1,7,5,6,8,3,2,4] => [7,6,8,3,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,7,6,8,3,2,5,4] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,6,8,3,1,5,4] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,8,5,6,1,3,2] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,5,8,7,1,3,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,4,5,3,7,2,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,1,5,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,3,5,2,7,1,6,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,3,8,1,4,2,7] => [1,5,2,6,4,8,7,3] => [3,8,5,2,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,6,1,2,4,5,8,3] => [1,7,8,3,2,6,5,4] => [5,4,8,7,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,8,1,4,7,3] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,3,1,6,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,3,5,6,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,2,3,1,5,7,8,4] => [1,6,7,8,4,2,3,5] => [6,7,5,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,2,1,6,5,3] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,2,3,4,7,8,1,5] => [1,6,8,5,7,2,3,4] => [6,7,8,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,3,7,8,5,1,4] => [1,6,5,8,4,7,2,3] => [7,8,5,3,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,6,3,8,1,7,4] => [1,5,8,4,3,6,2,7] => [7,5,4,2,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,3,6,1,7,4] => [1,5,6,2,8,4,3,7] => [4,7,6,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,4,3,7,1,2] => [1,5,3,8,2,6,7,4] => [5,3,8,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,6,3,2,1,7] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,3,4,5,8,1,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,1,4,3,6,2,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,3,8,2,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,2,7,4,1,6,8,3] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,4,3,6,2,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,4,3,7,1,2] => [1,5,3,6,7,2,8,4] => [6,3,8,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,1,4,2,3,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,3,1,6,7,5,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,1,6,2,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,8,7,3,5,2,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,4,3,7,1,6,2] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,4,7,2,6,3] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,8,3,7,5,6,2] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,3,8,2,6,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,4,8,2,7,5,6,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,2,4,8,3,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,3,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,1,7,8,5,3,2,6] => [1,4,8,6,3,7,2,5] => [7,5,2,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,2,8,3,6,5,7] => [1,4,8,7,5,3,2,6] => [7,6,2,5,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,8,6,5,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,6,8,4,7,3,1,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,8,4,6,5,2] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,8,2,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,2,4,8,1,6,5,7] => [1,3,4,8,7,5,2,6] => [7,2,3,6,8,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,2,8,7,4,3,5,1] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,8,4,6,5,1] => [1,7,5,4,8,2,3,6] => [6,7,4,3,8,2,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,3,4,2,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,3,2,4,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,1,4,8,2,6,5,7] => [1,3,4,8,7,5,2,6] => [7,2,3,6,8,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,7,2,8,3,5,4,1] => [1,6,5,3,2,7,4,8] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,4,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,1,3,4,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,3,4,8,6,5,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,8,3,6,2,1,5,7] => [1,4,6,2,8,7,5,3] => [4,8,2,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,8,7,2,4,6,1] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,8,4,5,7,3,6,1] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,2,5,6,3,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,1,3,5,2,6,4,7] => [1,8,7,4,5,2,3,6] => [6,7,4,5,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[5,8,4,3,7,2,6,1] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,3,7,2,8,6] => [1,2,5,7,8,6,3,4] => [2,7,8,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,6,4,7,5,2] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,3,2,6,8,4] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,7,5,2,8,4,6] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,7,4,1,8,3,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,7,8,3,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,8,7,2,3,5,1] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,1,7,8,4,5] => [1,6,8,5,7,4,2,3] => [7,8,6,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,3,7,6,2,1,5] => [1,8,5,6,2,4,7,3] => [5,8,6,3,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,2,7,6,1,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,6,2,8,7,1,5,4] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,2,8,1,6,5,4] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,7,8,6,1,5,3] => [1,4,8,3,7,5,6,2] => [8,4,2,6,7,5,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,7,2,5,6,4,3,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,3,8,6,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,7,6,5,4,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,7,3,2,1,6,8] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,3,6,2,1,4,7] => [1,5,2,8,7,4,6,3] => [3,8,6,2,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,8,2,1,4,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,2,7,5,1,4,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,8,2,6,5,1,4,7] => [1,3,2,8,7,4,6,5] => [3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,7,8,5,1,3,4] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,7,6,5,1,3,4] => [1,2,8,4,6,3,7,5] => [2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,4,3,1,7,8,2] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,3,1,8,6,2] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,3,6,1,8,7,2] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,3,7,6,1,4,8,2] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,8,2,6,1,4,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,1,5,6,7,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,1,6,4,8,7] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,1,6,4,3,8] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,1,5,6,3,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,7,1,5,4,6,8] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,7,6,5,8,3,2] => [1,4,6,8,2,3,7,5] => [5,6,2,8,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,5,7,2,4,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,8,1,7,2] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,2,3,5,4,6,8] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,3,5,4,6,7] => [1,8,7,6,4,3,2,5] => [7,6,5,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,1,3,5,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,3,5,6,1,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,7,2,1,3,5,4,6] => [1,8,6,5,3,2,7,4] => [6,5,8,4,3,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,6,7,8,1,5,4] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,6,7,2,5,4,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,1,4,2,8,3,6,5] => [1,7,6,3,4,2,5,8] => [6,4,5,7,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,1,8,2,5,3,6,4] => [1,7,6,3,8,4,2,5] => [7,4,6,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,3,2,5,4,8] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,1,2,5,4,7] => [1,8,7,4,2,6,5,3] => [5,8,4,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,6,3,2,4,5] => [1,8,5,3,7,4,6,2] => [8,4,6,3,7,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,2,6,7,5,4,1,3] => [1,8,3,6,4,7,2,5] => [7,3,5,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,2,1,6,5,4,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,8,3,6,5,4] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,1,4,6,8,3,2] => [1,7,3,2,5,6,8,4] => [4,3,8,5,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,6,1,4,3,2,8,7] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,7,1,3,8,2,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,6,3,7,4,2] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,5,4,8,2,1,3,6] => [1,7,3,4,8,6,2,5] => [7,3,4,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,1,6,2,4] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,8,5,1,6,4,3] => [1,2,7,4,5,3,8,6] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,4,3,6,1,8,5] => [1,2,7,8,5,6,3,4] => [2,7,8,5,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,5,7,1,8,6] => [1,4,5,7,8,6,2,3] => [7,8,2,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,8,4,6,2,3] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,7,1,8,6,2,3,4] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,7,8,6,3,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,7,5,2,8,3,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,7,5,1,8,3,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,7,2,8,6,1,3,4] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,5,4,1,8,3] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,8,6,3,2,4] => [1,5,6,3,7,2,4,8] => [6,4,7,2,3,5,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,6,7,5,3,8,2,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,4,7,1,5,6,8,3] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,1,7,5,8,2,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,7,8,6,1,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,2,7,5,8,1,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,4,5,1,8,3] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,7,5,8,1,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,6,3,8,2,4] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,5,1,8,2,6,4] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,1,5,8,7,3,2] => [1,4,5,8,2,6,7,3] => [5,8,2,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,5,8,2,3,7] => [1,4,5,8,7,3,2,6] => [7,6,2,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,5,8,3,6,2] => [1,4,5,8,2,7,6,3] => [5,8,2,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,7,8,1,6,5] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,8,5,4,3,2,7,1] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,8,4,3,2,1,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,4,3,1,8,7,2] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,5,3,2,8,4,1,6] => [1,7,2,5,8,6,4,3] => [3,8,7,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,3,2,8,4,6,1] => [1,7,6,4,2,5,8,3] => [5,8,4,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,8,1,5,6,3,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,2,4,1,8,5,3] => [1,6,8,3,2,7,5,4] => [5,4,8,7,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,3,1,2,7,8,4] => [1,5,2,6,7,8,4,3] => [3,8,7,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,3,2,7,8,4] => [1,5,2,6,7,8,4,3] => [3,8,7,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,2,1,7,8,4] => [1,5,2,6,7,8,4,3] => [3,8,7,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,3,7,8,4,1] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,8,5,2,1,4] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,2,7,8,5,3,1] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,6,4,5,8,1,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,4,5,8,1,3,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,4,6,2,1,3] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,2,5,8,6,7,1] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,8,5,6,7,3,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,5,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,7,1,8,6,5] => [1,4,7,6,8,5,2,3] => [7,8,2,6,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,8,4,2,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,2,1,6,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,8,2,1,3] => [1,4,5,8,3,6,2,7] => [7,5,2,3,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,6,8,7,1,3] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,5,6,7,1,3] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,3,6,5,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,2,4,6,5,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,6,4,1,5,2,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,3,4,5,1,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,7,5,8,2,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,1,4,7,6,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,5,8,3,1,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,4,7,2,1,3,5,6] => [1,8,6,3,7,5,2,4] => [7,4,8,6,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,2,1,3,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,7,8,4,1,6,3] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,1,5,2,6,8,7,3] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,1,8,5,4,6,3] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,2,1,3,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,1,5,6,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,1,8,6,7,2] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,1,4,5,6,7,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,7,2,1,8,6,5] => [1,3,7,6,8,5,2,4] => [7,2,8,6,4,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,2,6,7,8,1,4] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,2,7,8,4,6,1] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,7,2,8,4,6,1] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,5,6,7,8,3,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,1,6,8,3,5,2,7] => [1,4,8,7,2,3,6,5] => [5,6,2,8,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,3,2,5,1,7] => [1,4,3,8,7,2,6,5] => [6,3,2,8,7,5,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,7,2,8,3,5,6,1] => [1,4,8,2,7,6,5,3] => [4,8,2,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,1,2,6,8,4,3,7] => [1,5,8,7,3,2,4,6] => [6,5,7,2,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,2,3,8,4,1,7] => [1,5,8,7,2,6,4,3] => [5,8,7,2,6,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,1,2,3,8,5,4,7] => [1,6,5,8,7,4,3,2] => [8,7,6,3,2,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,7,2,8,4,5,3,1] => [1,6,5,4,8,2,7,3] => [6,8,4,3,2,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,1,2,3,4,8,6,5] => [1,7,6,8,5,4,3,2] => [8,7,6,5,3,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,8,1,2,4,3,7,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,1,6,8,2,4,7,5] => [1,3,6,4,8,5,2,7] => [7,2,4,6,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,5,2,3,4,6,8] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,5,3,1,6,4] => [1,7,6,2,8,4,5,3] => [4,8,6,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,5,3,2,4,7] => [1,6,2,8,7,4,5,3] => [3,8,6,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,8,1,6,4,2,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,7,2,6,4,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,2,5,6,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,2,3,6,5,1,7,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,7,6,5,3,2,4] => [1,2,8,4,6,3,7,5] => [2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,7,6,5,2,3,4] => [1,2,8,4,6,3,7,5] => [2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,8,6,5,4,1,3] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,2,8,5,4,6,1,3] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,8,5,1,7,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,2,5,6,3,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,4,3,1,7,2] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,8,6,4,1,3,7,2] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,5,3,7,2] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,6,1,8,5,2,7,4] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,2,8,6,7,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,2,5,8,3,6,1,4] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,5,6,3,4,2,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,6,3,8,5,2,1,4] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,6,4,8,3,1,5] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,4,2,6,3,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,7,8,5,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,3,1,6,5,8,2,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,4,5,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,3,4,1,5,2,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,4,5,2,1,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,1,5,3,4,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,6,8,1,2,7,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,7,2,3,5,8,1] => [1,6,5,3,7,8,2,4] => [7,4,8,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,5,7,8,6,2] => [1,4,5,7,6,8,2,3] => [7,8,2,3,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,1,8,4,7,3,2] => [1,6,7,3,2,5,4,8] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,4,7,6,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,3,2,8,1,6,5] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,1,4,7,2,8,5] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,1,5,7,3,4] => [1,2,8,4,3,6,7,5] => [2,5,4,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,4,2,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,3,4,7,1,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,3,2,5,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,6,2,7,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,8,6,4,5,2,7,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,5,3,6,2,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,1,8,7,6,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,4,2,7,3,5] => [1,6,7,3,2,8,5,4] => [5,4,8,7,2,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,1,6,8,7,3] => [1,5,6,8,3,4,2,7] => [7,5,6,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,6,1,8,7,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,1,4,6,5,7,8,2] => [1,3,4,6,7,8,2,5] => [7,2,3,8,4,5,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[1,4,7,3,5,6,8,2] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,2,6,8,4,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,2,4,8,7,6,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,4,8,6,5,3] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,5,8,4,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,4,8,7,3,5] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,5,7,3,4] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,4,1,5,3,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,4,8,3,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,4,5,7,2,3,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,8,7,2,3,4] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,5,3,7,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,7,3,5,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,6,2,8,4,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,8,7,4,1,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,7,6,3,8,1] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,2,4,8,6,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,2,4,8,7,6,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,2,3,8,5,4,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,8,5,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,5,6,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,8,6,4,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,3,8,6,5,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,2,4,8,6,3,7] => [1,5,8,7,3,2,4,6] => [6,5,7,2,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,5,4,3,1,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,7,8,5,6,4] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,3,1,2,8,6,7,5] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,6,7,4,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,3,8,7,5,4,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,8,7,4,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,2,8,7,6,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,7,6,3,5,4,2,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,2,5,4,3,1] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,1,6,5,3,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,7,1,6,5,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,2,6,5,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,4,1,3,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,6,4,5,1,3,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,3,2,5,4,7] => [1,6,5,2,8,7,4,3] => [4,8,7,3,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,3,6,1,4,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,1,4,3,6,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,8,2,5,3,7,1,4] => [1,6,7,2,8,4,5,3] => [4,8,6,7,2,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,5,1,4,3,7,6,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,4,3,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,1,3,2,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,4,7,1,3,2,5] => [1,6,3,4,7,2,8,5] => [6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,5,7,1,3,2,4] => [1,6,3,5,2,8,4,7] => [5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,1,3,2,6,5,8] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,7,1,4,2,6,5,8] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,6,8,1,4,2,5] => [1,3,6,4,8,5,2,7] => [7,2,4,6,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,5,8,3,6,1,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,6,1,5,4,8] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,3,7,1,5,4,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,8,5,2,3,1] => [1,7,3,4,8,2,6,5] => [6,3,4,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,7,8,3,6,2,1,4] => [1,5,6,2,7,3,8,4] => [4,6,8,2,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,4,8,7,2,5,1] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,3,5,7,2,1] => [1,4,3,8,2,6,7,5] => [5,3,2,8,6,7,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,7,3,5,6,8,2,1] => [1,4,5,6,8,2,7,3] => [6,8,2,3,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,5,8,2,6,1] => [1,4,5,8,2,7,6,3] => [5,8,2,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,4,7,8,2,1,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,3,4,8,2,7,6,1] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,4,2,5,1,8,7,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,7,2,6,4,1] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,4,8,2,1,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,8,5,3,7,2,1] => [1,6,7,2,4,5,3,8] => [4,7,5,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,7,3,1,8,5] => [1,6,2,4,7,8,5,3] => [3,8,4,7,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,7,1,8,2] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,6,3,7,1,8,2,4] => [1,5,2,6,8,4,7,3] => [3,8,6,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,4,7,8,2,1] => [1,6,8,2,3,5,7,4] => [4,5,8,6,2,7,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,2,5,1,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,7,3,6,8,2,5,1] => [1,4,6,2,7,5,8,3] => [4,8,2,6,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,8,2,5,3,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,4,8,2,3,6] => [1,7,3,5,8,6,2,4] => [7,3,8,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,4,8,5,2,3,6] => [1,7,3,4,8,6,2,5] => [7,3,4,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,1,2,4,6,5] => [1,7,6,4,2,8,5,3] => [5,8,4,7,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,7,4,2,3,5] => [1,8,5,4,7,3,2,6] => [7,6,4,3,8,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,3,6,1,2,4,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,7,4,2,3,5] => [1,6,2,8,5,4,7,3] => [3,8,6,5,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,5,4,2,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,8,4,5,2,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,7,8,5,3,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,8,5,4,1,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,2,1,4,6,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,8,7,4,2,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,8,4,3,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,2,6,7,5,4,3,1] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,7,3,5,4,8,2] => [1,6,4,3,7,8,2,5] => [7,4,3,8,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,8,7,2,4,1,3] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,7,1,2,4,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,8,4,1,7,5,6,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,4,1,6,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,8,6,5,3,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,8,1,4,6,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,6,8,7,4,1] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,7,1,4,3,6] => [1,8,6,4,7,3,2,5] => [7,6,4,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,6,4,8,1,3] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,3,5,6,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,3,8,2,6,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,6,1,4,7,2,8,5] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,8,4,7,2,3,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,4,5,8,1,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,7,4,1,5,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,1,4,6,3,8,5] => [1,2,7,8,5,6,3,4] => [2,7,8,5,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,4,1,3,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,4,8,6,5,2,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,5,1,2,8,3,4] => [1,6,8,4,2,7,3,5] => [5,7,4,8,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,7,5,8,3,1,4] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,2,6,4,7,3] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,2,8,4,6,3] => [1,7,6,4,2,5,8,3] => [5,8,4,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,5,1,6,4,7,8,2] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,2,7,4,6,8,3,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,7,5,1,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,6,1,8,5,7,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[3,1,5,4,8,7,6,2] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,2,5,8,4,7,3,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,6,8,5,4,7,3] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,8,5,2,7,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,7,4,8,2,1,6] => [1,3,7,2,5,8,6,4] => [4,2,8,5,7,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,4,6,8,3,5,2,7] => [1,2,4,8,7,3,6,5] => [2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,5,8,4,3,7,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,5,8,2,4,7,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,6,8,3,2,5,7] => [1,2,4,8,7,5,3,6] => [2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,5,7,4,8,1,2,6] => [1,3,7,2,5,8,6,4] => [4,2,8,5,7,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,7,5,6,8,2,4] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,6,5,8,1,7,4] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,7,5,8,3,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,5,8,7,1,4] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,5,6,8,4,3] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[3,1,6,7,5,8,4,2] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,2,7,5,8,3,1] => [1,4,7,3,2,6,8,5] => [5,4,2,8,6,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,5,8,2,7,4,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,5,8,4,7,6,3] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,8,7,3,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,6,8,5,1,4] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,5,7,4,3] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,8,7,6,3,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,7,4,6,8,1,5] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,3,4,7,1,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,7,3,4,5,8,1,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,2,3,8,1,5] => [1,4,2,7,3,6,8,5] => [3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,5,2,4,8,1,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,4,5,8,1,3] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,2,1,7,3,4,6,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,1,8,3,4,6,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[8,5,2,3,6,1,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,2,4,5,1] => [1,8,2,6,4,7,5,3] => [3,8,5,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,5,8,3,6,7,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,4,6,8,2,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,8,7,1,2,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,7,1,4,5,3] => [1,6,4,7,5,2,3,8] => [6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,6,1,3,4,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,1,3,4,5,8] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,7,6,2,3,4,5,8] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,6,2,3,4,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,3,4,5,6,1] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,8,3,6,2,4,5,1] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,5,8,7,2,3,6,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,4,7,1,8,5] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,2,5,7,1,4,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,1,3,2,8,5,4,7] => [1,6,5,8,7,4,2,3] => [7,8,6,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,2,4,8,1,3] => [1,6,8,3,7,2,5,4] => [6,4,8,7,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,5,2,7,4,1,6] => [1,3,5,7,2,8,6,4] => [5,2,8,3,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,5,1,2,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,4,7,2,6,3,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,4,7,2,3,6,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,3,8,1,2,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,8,3,7,6,5,2] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,8,2,1,6,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,2,7,6,5,4,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,7,2,6,8,5,1,4] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,1,7,5,6,4,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,3,6,5,7,4,2] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,6,2,4,3,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,4,5,7,2,3,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,3,6,1,7,2,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,8,6,5,7,3,4,2] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,2,4,6,1,7,3,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,3,6,8,7,4,2] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,6,5,4,1,8] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,6,2,5,4,3,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,6,3,1,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,3,4,7,6,2,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,5,1,6,4,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,2,6,1,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,6,2,8,5,4] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,2,6,5,4,3] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,7,8,2,6,5,3] => [1,4,8,3,7,5,2,6] => [7,4,2,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,8,2,7,4,3] => [1,5,2,6,7,4,8,3] => [3,8,6,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,7,8,1,6,5,3] => [1,4,8,3,7,5,2,6] => [7,4,2,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,1,6,5,4,3] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,7,2,6,5,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,1,6,5,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,1,2,8,6,4] => [1,7,6,8,4,2,3,5] => [6,7,5,8,3,2,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,3,1,7,6,4,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,6,2,8,5,4] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,6,1,2,7,5,4,3] => [1,8,3,2,6,5,7,4] => [4,3,8,6,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,1,2,6,5,4,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,6,2,7,5,4] => [1,3,2,8,4,6,7,5] => [3,2,5,8,6,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,5,1,2,7,6,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,1,2,7,4,3] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,4,7,3,1,8] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,3,5,8,1,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,5,2,8,1,3] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,4,3,1,8,2,7,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,8,3,2,6,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,5,2,8,3,4,7,1] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,5,3,4,8,2,7,1] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,3,1,8,2,7,5] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,5,3,2,6,4,1,7] => [1,8,7,2,5,6,4,3] => [4,8,7,5,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,7,2,5,4,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,2,6,4,3,1,8] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,6,2,5,4,3,8] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,7,3,5,4,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,8,2,7,3,1,6] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,2,4,7,5,1,3] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,7,3,1,5] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,7,3,4,1,5] => [1,2,6,4,7,3,8,5] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,8,6,3,5,1,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,8,1,7,2,5,4,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,4,3,5,1,7] => [1,2,8,7,3,6,5,4] => [2,5,8,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,5,3,2,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,7,2,5,4,3,1,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,2,5,4,7,1] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,7,8,4,3,6,2] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,6,5,7,4,1,3,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,7,5,6,2,3,1] => [1,4,5,6,2,8,3,7] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,2,6,3,1] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,4,8,2,6,3] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,1,4,3,6,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,6,5,3,7,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,1,7,6,2,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,7,5,6,1,2,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,5,8,6,7,1,2] => [1,3,5,6,7,2,4,8] => [6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,5,1,6,8,7,2] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,1,5,6,8,7,3] => [1,4,5,6,8,3,2,7] => [7,6,2,3,4,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,2,8,3,6,5] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,1,8,2,4,3,7,5] => [1,6,3,8,5,4,2,7] => [7,3,6,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,2,5,3,7,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,6,2,7,3,5,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,7,2,8,3,5,4] => [1,6,3,7,5,8,4,2] => [8,3,7,5,2,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,1,6,2,4,3,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,6,2,8,3,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,2,6,3,5,4] => [1,7,5,6,3,8,4,2] => [8,5,7,3,4,2,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,4,8,1,5,2,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,7,2,6,3,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,7,2,6,3] => [1,2,8,3,5,7,6,4] => [2,4,8,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,4,2,5,3,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,2,6,7,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,8,2,3,6,1] => [1,7,6,3,4,8,2,5] => [7,4,5,8,3,2,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,3,8,1,5,6,2,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,4,2,6,8,3] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,5,4,3,8,2,7,1] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,4,8,6,1,3,2] => [1,7,3,4,8,2,5,6] => [6,3,4,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,8,3,1,7,4,2] => [1,6,7,4,3,8,2,5] => [7,5,4,8,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,4,8,2,1,7,3,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,8,1,6,2,7] => [1,5,2,4,8,7,3,6] => [3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,8,5,1,2,3] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,1,6,7,3,5,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,5,2,7,6,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,7,3,8,1,6] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,1,7,8,5,2,4] => [1,6,5,8,4,7,2,3] => [7,8,5,3,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,2,6,1,8,7,3] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,1,5,2,6,8,7] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,1,2,5,7,4] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,6,7,1,2,5,8,4] => [1,3,7,8,4,2,6,5] => [6,2,5,8,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,1,3,2,4,6,5] => [1,7,6,4,3,2,8,5] => [6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,2,1,3,5,4,6] => [1,7,4,2,8,6,5,3] => [4,8,3,7,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,3,6,1,8,7,4] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,1,2,7,8,6,5] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,2,7,3,6,4,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,4,7,8,2,3,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,5,4,6,8,7,1,2] => [1,3,4,6,7,2,5,8] => [6,2,3,7,4,5,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[1,5,3,6,2,7,8,4] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,7,6,1,8,3] => [1,4,7,8,3,5,6,2] => [8,5,2,6,7,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,3,1,8,2,6,7,4] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,5,7,6,8,1,2] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,8,3,6,4,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,4,2,1,8,7,5,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,6,5,4,2,1,8,3] => [1,7,8,3,5,2,6,4] => [6,4,8,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,8,4,1,3,2] => [1,7,3,5,4,8,2,6] => [7,3,5,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,6,3,2,1,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,2,5,1,3,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,1,3,2,4,5,6] => [1,7,5,2,8,6,4,3] => [4,8,7,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,1,5,2,3,6] => [1,7,3,4,2,8,6,5] => [5,3,4,8,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,6,1,4,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,5,3,6,1,4,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,5,2,3,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,2,5,6,1,4,7,8] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,2,6,1,4,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,5,3,6,2,4,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,6,2,4,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,1,6,2,4,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,1,6,3,4,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,2,1,4,3,8] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,6,7,2,5,8,4] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,3,4,5,8,7,2,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,8,1,7,2] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,2,5,6,8,1,7] => [1,4,5,6,8,7,2,3] => [7,8,2,3,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,5,8,6,1,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,4,5,8,1,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,1,4,7,8,6] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,1,4,2,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,1,2,4,7,8,6] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,5,2,6,8,4,3] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,6,7,1,5,8,4] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,3,4,5,8,6,2,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,3,4,5,8,2,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,8,2,1,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,4,5,8,2,7,1] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,4,6,1,8,3,2] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,5,8,1,2,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,6,1,8,2,5,3] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,7,5,2,3] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,7,3,6,5,1,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,6,1,7,5,3,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,1,8,3,2,5] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,7,3,5,4,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,3,5,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,3,1,5,4,6,8] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,3,5,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,2,1,7,3,5,8,4] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,3,6,8,4,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,7,3,1,5,6,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,6,8,3,7,4,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,8,3,7,2,4,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,4,7,3,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,4,8,3,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,1,2,7,8,3,6,5] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,2,3,7,6,4] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,8,4,3,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,5,3,7,6,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,8,5,3,6,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,6,4,2,7,3,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,8,6,3,2,4,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,2,4,5,6,3] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,3,2,8,7,4,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,3,2,4,5,8] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,7,5,3,6,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,8,2,7,6,4,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,6,3,1,5,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,1,6,5,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,3,4,5,2,7] => [1,2,8,7,3,6,5,4] => [2,5,8,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,7,4,3,1,2] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,8,5,3,1,7,2] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,8,6,1,3,2,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,3,2,7,6,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,6,8,5,1,4] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,4,6,1,2] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,2,8,4,1,6,3] => [1,7,6,2,5,4,8,3] => [4,8,6,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,2,8,3,5,1,7] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,5,4,8,3,6,2] => [1,7,6,3,5,8,2,4] => [7,4,8,5,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,3,7,2,5,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,2,7,5,3,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,2,4,3,1] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,7,8,1,4,5,3] => [1,2,6,4,8,3,7,5] => [2,6,4,8,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,7,8,2,1,4,6] => [1,3,7,4,8,6,2,5] => [7,2,4,8,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,7,8,1,4,3,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,8,3,1,4,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,2,5,4,8,1,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,4,7,2,8,1,3,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,8,1,5,2,3] => [1,4,8,3,7,2,6,5] => [6,4,2,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,8,1,2,5,3] => [1,4,8,3,7,5,2,6] => [7,4,2,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,7,8,2,1,6,3] => [1,4,8,3,7,6,2,5] => [7,4,2,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,3,2,7,8,1,6,4] => [1,5,8,4,7,6,2,3] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,3,6,4,7,1,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,1,5,7,3] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,4,7,5,1,8,2,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,6,1,7,5,8,2,4] => [1,3,2,6,8,4,7,5] => [3,2,6,8,4,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,2,1,3,5,7,4] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,6,1,3,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,4,1,2,7,5,3,6] => [1,8,6,5,7,3,2,4] => [7,6,8,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,2,7,1,3,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,2,3,6,1,5,4] => [1,7,5,6,2,8,4,3] => [5,8,7,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,3,7,1,5,8] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[2,6,4,8,1,3,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,6,4,8,1,7,5,2] => [1,3,4,8,2,6,7,5] => [5,2,3,8,6,7,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,6,5,1,4,2,8,3] => [1,7,8,3,5,4,2,6] => [7,4,6,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,5,1,2,4,3,8] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,5,1,2,4,8,3] => [1,7,8,3,5,2,6,4] => [6,4,8,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,3,1,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,4,3,1,8,5,7] => [1,2,6,8,7,5,3,4] => [2,7,8,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,3,6,1,7,5] => [1,4,3,8,5,6,2,7] => [7,3,2,5,6,8,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,5,8,4,1,6,7,2] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,4,5,1,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,8,6,2,1,3,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,7,3,2,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,2,5,8,3,1] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,3,8,5,2,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,2,8,1,5,3] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,7,8,6,5] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,2,1,8,6,7,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,4,8,7,5,3,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,8,2,4,1,5,7] => [1,3,8,7,5,4,2,6] => [7,2,6,5,8,4,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,8,1,7,5,4,3] => [1,6,5,7,4,2,3,8] => [6,7,5,3,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,4,8,1,7,2] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,8,6,2,1,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,3,6,7,1,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,6,1,4,2] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,5,6,2,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,3,5,6,2,1,8] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,8,5,1,7,4,3] => [1,6,7,4,5,2,3,8] => [6,7,4,5,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,2,7,6,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,2,4,6,7,8,3] => [1,2,5,6,7,8,3,4] => [2,7,8,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,1,6,7,8,4] => [1,5,6,7,8,4,2,3] => [7,8,6,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,6,1,2,8,3] => [1,7,8,3,4,6,2,5] => [7,4,5,8,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,5,6,1,7,8,4] => [1,3,5,2,4,6,7,8] => [4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,4,7,2,1,3,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,5,3,7,2,6] => [1,8,6,7,2,4,5,3] => [5,8,6,7,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,5,4,7,2,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,6,7,8,2] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,7,6,5,4,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,7,2,8,6,5,3] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,7,6,1,4,2,5,8] => [1,3,6,2,7,5,4,8] => [4,2,7,6,3,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,7,5,3,2,1,6,4] => [1,8,4,3,5,2,7,6] => [6,4,3,5,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,6,1,5,3,2,8] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,6,3,7,2,5] => [1,4,6,7,2,3,8,5] => [5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,4,2,8,1,3,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,4,3,8,6,1,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,3,7,4,2,1,8] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,3,8,5,1,4,2] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,8,6,3,1,5,2] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,6,5,3,1,8] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,1,5,7,3] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,1,8,4,3,7,2,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,1,4,3,5,6,8] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,3,2,8,6,4,7] => [1,2,5,8,7,4,3,6] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,1,7,8,6,3] => [1,5,7,6,8,3,2,4] => [7,6,8,2,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,2,1,8,5,4] => [1,7,5,2,6,8,4,3] => [4,8,7,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,3,7,4,1,2,5] => [1,8,5,4,7,2,6,3] => [6,8,4,3,7,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,2,1,6,5,4,7,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,6,4,7,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,4,1,2,5,7,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,5,4,7,3,2] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,2,1,3,7,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,2,3,1,4,6,7] => [1,5,2,8,7,6,4,3] => [3,8,7,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,1,4,3,5,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,6,2,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,5,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,3,1,5,2,8] => [1,4,3,7,2,6,5,8] => [5,3,2,7,6,4,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,8,1,3,5,2,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,8,3,1,4,5,7,2] => [1,6,5,4,2,8,3,7] => [5,7,4,3,2,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[3,4,7,2,6,1,8,5] => [1,3,7,8,5,6,2,4] => [7,2,8,5,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,7,3,2,6,8,1] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[2,6,3,4,7,5,8,1] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,2,8,5,7,3,6] => [1,4,8,6,7,3,2,5] => [7,6,2,8,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,4,8,5,6,2] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,2,8,7,1,5,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,8,1,5,3,6] => [1,7,3,4,8,6,5,2] => [8,3,4,7,6,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,1,6,2,7,8,5,3] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,3,4,8,7,5,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,7,6,1,4,3] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,7,1,5,4,3] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,8,1,7,5,3,2] => [1,6,5,7,3,8,2,4] => [7,5,8,3,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,8,1,7,5,4,2] => [1,6,5,7,4,2,3,8] => [6,7,5,3,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,7,6,4,2] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,1,8,7,5,2] => [1,6,7,5,8,2,4,3] => [6,8,7,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,2,1,8,7,6,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,3,2,1,8,6,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,2,3,6,5,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,3,8,1,4,5,7] => [1,6,4,8,7,5,2,3] => [7,8,3,6,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,3,6,1,4,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,3,6,4,2,1,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,6,2,1,4,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,4,3,8,1,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,4,2,7,5,8,3] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,4,7,2,5,6,8,3] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,8,5,3,7,1,2] => [1,6,7,2,4,5,3,8] => [4,7,5,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,4,2,7,8,3] => [1,2,6,7,8,3,5,4] => [2,6,8,7,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,2,4,8,7,3] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,5,8,2,7,4] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,7,3,5,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,3,2,5,7,8,4] => [1,6,7,8,4,2,3,5] => [6,7,5,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,3,5,7,8,6] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,3,6,8,1,2,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,2,6,7,5,3,4,1] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,8,7,2,6,4,3] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,1,3,5,4,8] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,8,2,5,7,3] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,6,5,8,7,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,1,4,3,5,8,7,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,2,1,3,6,5,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,2,1,8,3,5,7,4] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,1,4,3,6,5,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,3,6,5,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,2,1,4,3,5,7,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,1,3,5,7,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,6,1,3,5,7,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,8,3,5,7,2] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,8,1,3,5,7,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,8,3,6,5,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,4,3,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,6,1,4,3,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,6,1,3,5,7,2] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,6,4,1,3,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,1,4,3,5,7,2] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,4,3,5,7,2] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,1,6,4,3,5,7,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,4,1,8,6,3,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,4,2,7,3,1,8] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,5,8,4,6,7,2,1] => [1,3,8,2,5,6,7,4] => [4,2,8,5,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,1,4,5,3,7,2] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,4,6,7,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,1,5,4,6,8,2] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,1,5,4,2,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,3,1,4,2,5,7] => [1,6,2,8,7,5,4,3] => [3,8,7,6,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,1,4,7,2,5] => [1,6,7,2,8,5,4,3] => [4,8,7,6,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,3,1,4,2,5,8] => [1,6,2,7,5,4,3,8] => [3,7,6,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,1,4,6,2,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,2,6,5,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,4,1,2,8,5,7,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,7,6,2,5,4,1,3] => [1,8,3,6,4,2,7,5] => [6,3,5,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,8,6,5,1,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,8,7,4,5,3,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,1,6,8,5,2,4] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,2,3,7,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,6,1,3,8,7,4,5] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,5,2,8,1,7,3,4] => [1,6,7,3,2,5,4,8] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,8,4,1,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,3,1,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,5,3,1,7,6,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,8,6,1,2,5,3] => [1,4,6,2,7,5,3,8] => [4,7,2,6,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,8,2,1,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,6,4,8,3,2,1,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,2,4,8,1,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,8,5,1,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,7,3,2,5,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,7,2,5,6,1] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,8,6,1,4,7,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,6,8,5,1,3,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,3,1,4,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,4,8,1,5,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,6,1,4,7,8,3] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,6,1,4,7,3,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,3,5,1,6,8,4,2] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,6,1,8,5,4,3] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,8,1,4,5,3] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,7,6,3,2,5,4] => [1,2,8,4,6,3,7,5] => [2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,4,7,6,1,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,8,4,1,2,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,7,1,6,8,5,2,4] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,1,8,6,4,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,1,8,6,4,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,7,1,6,8,5,4,2] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,4,8,5,3,1,2,7] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,5,8,4,6,2,1] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,4,7,5,1,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,3,4,7,1,6,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,7,1,6,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,4,6,1,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,8,5,3,2,6,1] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,2,4,6,8,3,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,5,4,6,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,7,3,2,4,6,5,1] => [1,8,2,7,5,4,3,6] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,2,6,3,4,5,7,1] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,2,5,4,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,6,3,4,5,2,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,5,4,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,2,4,3,5,7] => [1,8,7,5,4,2,6,3] => [6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,2,4,5,6,3,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,6,3,4,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,3,6,4,8,2,5] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,1,3,5,7,4,6] => [1,8,6,7,4,3,2,5] => [7,6,5,8,3,4,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,2,6,3,1,4,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,1,3,8,2,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,8,5,4,1,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,2,5,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,4,8,1,3,6,2,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,3,5,7,4,6] => [1,8,6,7,4,3,2,5] => [7,6,5,8,3,4,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,3,8,1,4,7,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,6,7,1,8,4] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,4,7,5,1,3,2,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,8,3,4,7,5] => [1,6,4,8,5,3,2,7] => [7,6,3,5,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,3,1,7,2,4,5] => [1,6,2,8,5,7,4,3] => [3,8,7,5,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,7,2,5,6,1,8,4] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,5,3,8,4,1,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,4,8,1,2,5] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,6,4,8,2,1,5] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,1,7,3,4,2,8] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,8,1,6,5,2,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,8,5,1,7,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,7,8,5,1,6] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,7,8,1,5,2,3] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,6,1,4,2,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,2,4,7,1,5,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,1,4,2,3] => [1,8,3,6,4,7,2,5] => [7,3,5,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,8,5,1,4,2,3] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,7,1,4,2,3] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,8,5,4,6,3,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,3,8,1,5,4,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,1,5,3,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[2,7,8,1,5,3,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,6,1,4,3,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,7,8,6,1,4,3,2] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,1,6,5,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,4,5,6,8,2] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,1,4,7,6,8,2] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,6,8,7,1,4,3,2] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,5,7,8,1,4,3,2] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,3,1,5,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,8,1,6,5,3,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,1,4,5,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,4,8,6,7,2] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,4,6,7,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,3,1,5,4,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,1,4,3,2] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,8,5,1,4,3,2] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,6,5,8,7,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,4,5,2,1,6,3] => [1,8,3,4,5,2,7,6] => [6,3,4,5,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,5,6,7,2,8] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,6,7,4,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,2,5,6,7,1,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,3,5,6,7,4,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,8,2,7,1,4] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,6,4,5,8,1,3,2] => [1,7,3,4,5,8,2,6] => [7,3,4,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,5,8,3,4,2] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,5,6,7,3,2] => [1,8,2,4,5,6,7,3] => [3,8,4,5,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,5,6,7,3,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,8,6,7,3,2] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,7,1,5,6,2,8,4] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,1,5,6,8,2,3] => [1,4,5,6,8,3,2,7] => [7,6,2,3,4,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,3,5,7,1,6] => [1,8,6,7,2,4,3,5] => [5,7,6,8,3,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,7,3,2,5,6,1,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,7,4,5,1,6,2,3] => [1,8,3,4,5,2,7,6] => [6,3,4,5,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,4,1,7,2,3] => [1,8,3,6,7,2,5,4] => [6,3,8,7,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,1,3,4,8,6] => [1,5,3,7,8,6,4,2] => [8,3,7,2,6,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,6,5,7,3,1,4,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,7,3,1,8,4] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,4,7,8,5,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,7,1,8,4,5,2,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,1,3,6,7,5,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,2,1,6,3,8,7,5] => [1,4,6,8,5,3,2,7] => [7,6,2,5,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,5,2,1,4,8] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,4,2,6,8,5,1] => [1,7,5,6,8,2,3,4] => [6,7,8,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,7,3,5,1] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,6,7,5,2,4,8,1] => [1,3,7,8,2,6,4,5] => [5,2,7,8,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,6,8,4,2,5,1] => [1,3,6,2,7,5,4,8] => [4,2,7,6,3,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,1,3,8,6,7,5] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,2,1,3,5,7,6,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,2,1,3,5,6,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,3,5,8,7,1,2] => [1,4,5,8,2,6,7,3] => [5,8,2,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,1,3,6,8] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,6,5,2,8,1,3] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,7,4,6,8,1,3,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,1,8,4,7,5,3,2] => [1,6,5,7,3,8,2,4] => [7,5,8,3,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,8,5,1,6,7,3,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,6,7,3,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,6,1,5,7,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,2,1,6,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,3,6,7,1,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[3,6,2,8,5,1,7,4] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,8,2,6,4,3,5] => [1,2,7,3,8,5,6,4] => [2,4,8,6,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,2,8,4,3,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,3,8,7,2,4,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,4,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,1,4,5,7,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,8,5,3,6,4,1] => [1,2,7,4,5,3,8,6] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,7,2,3,6,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,3,6,1,4,5,2] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,7,1,2,3,6,4,8] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,8,1,2,7,4,5] => [1,3,8,5,2,6,7,4] => [5,2,8,4,6,7,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,4,1,8,2,7,6,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,6,7,4,1,2,5,3] => [1,8,3,7,5,2,6,4] => [6,3,8,5,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,3,1,4,8,5,2] => [1,6,8,2,7,5,4,3] => [4,8,7,6,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,4,1,6,8,2,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,7,1,2,8,6,3] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,5,1,2,3,4,8,7] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,2,3,4,5,1,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,4,1,6,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,2,4,6,1,7,5] => [1,3,2,8,5,6,4,7] => [3,2,7,5,6,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,8,2,3,1,7,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,1,3,5,7,2,4,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,7,5,3,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,1,8,2,5,6,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,5,7,1,6,3,2] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,4,5,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,5,6,1,3,2,7,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,1,2,5,3,6,4] => [1,7,6,3,2,8,4,5] => [5,4,7,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,7,2,3,8,4] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,2,6,5,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,2,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,6,2,3,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,8,2,6,4,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,4,8,3,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,2,8,4,6,3] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,8,3,2,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,5,3,8,1,6] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,2,1,6,8,3,4,7] => [1,5,8,7,4,6,3,2] => [8,7,5,2,6,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,5,1,6,8,3,2,7] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,3,1,7,8,2,6] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,1,4,7,3,8,5] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,2,1,7,3,8,4,6] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,3,2,1,4,8,5] => [1,6,4,2,7,8,5,3] => [4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,7,8,1,6,3,4] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,6,1,7,8,4,3] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,3,5,1,4,6] => [1,7,4,3,8,6,2,5] => [7,4,3,8,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,7,4,3,6,2,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,3,6,1,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,2,4,8,5,1,7,3] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,8,1,3,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,4,3,5,8,2,7,1] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,8,1,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,3,8,5,1,2,4] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,3,5,6,8,1,7] => [1,4,5,6,8,7,2,3] => [7,8,2,3,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,5,2,3,1,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,7,5,2,3,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,5,8,7,3,1] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,7,2,4,5,3,1] => [1,6,5,4,2,8,3,7] => [5,7,4,3,2,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,2,6,7,4,5,3,1] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,5,8,7,2,3,1] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,8,7,2,3,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,6,8,7,4,5,3] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,7,5,3,1] => [1,6,5,7,3,8,2,4] => [7,5,8,3,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,8,2,7,5,3,1] => [1,6,5,7,3,8,2,4] => [7,5,8,3,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,1,8,6,4,7,5,3] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,4,7,5,3,1] => [1,2,8,3,6,5,7,4] => [2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,6,2,7,5,3,1] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,2,5,6,3,8,1,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,1,4,7,6,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,7,8,4,5,2] => [1,6,4,7,5,8,2,3] => [7,8,3,5,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,1,2,5,8,6,4] => [1,7,6,8,4,2,3,5] => [6,7,5,8,3,2,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,1,6,3,4,5,7,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,5,4,1,2,8,3] => [1,7,8,3,5,2,6,4] => [6,4,8,5,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,5,3,7,1] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,7,6,1,8,4] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,4,6,7,3,5] => [1,8,5,6,7,3,2,4] => [7,6,8,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,5,4,3,6,2] => [1,7,6,3,2,8,4,5] => [5,4,7,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,8,5,3,6,1] => [1,7,6,3,4,8,2,5] => [7,4,5,8,3,2,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,7,8,5,4,6,1,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,4,3,8,6,2,1] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,3,6,8,7,1,4,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,2,5,1,8,6] => [1,4,2,7,8,6,3,5] => [3,7,2,8,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,8,1,4,6,5,7] => [1,3,8,7,5,4,2,6] => [7,2,6,5,8,4,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,6,8,2,3,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,5,1,8,3,7,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,2,5,8,3,7,6] => [1,4,5,8,6,3,2,7] => [7,6,2,3,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,5,1,3,8,2,7,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,6,5,8,7,1,2,4] => [1,3,5,7,2,6,4,8] => [5,2,7,3,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,1,5,8,7,2,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,8,2,1,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,6,8,3,7,5,1] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,4,2,5,8,7,1,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,6,2,5,4,1,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,4,2,8,3,1] => [1,6,8,2,5,3,7,4] => [4,6,8,5,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,6,3,4,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,5,6,2,4,1,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,1,3,5,4,7] => [1,8,7,4,2,6,5,3] => [5,8,4,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,3,4,6,5,7] => [1,8,7,5,4,3,2,6] => [7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,3,7,8,4,5,1] => [1,6,4,7,5,8,2,3] => [7,8,3,5,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,6,7,3,4,8,2] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,7,8,2,1,4,5,3] => [1,6,4,2,7,5,3,8] => [4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,8,4,7,2,6,1] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,6,4,7,1,3,5] => [1,8,5,7,3,6,2,4] => [7,5,8,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,5,2,1,7,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,5,7,2,1,3,6] => [1,4,7,3,5,2,8,6] => [6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,4,6,3,7,1,5,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,4,1,5,7,2] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,6,3,1,8,4] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,3,8,4,6,1] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,7,1,8,5,3,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,6,7,1,5,4,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,8,4,3,1,6,2] => [1,5,3,8,2,7,6,4] => [5,3,8,2,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,4,5,8,3,6,1] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,8,6,1,3,5,2,7] => [1,4,2,8,7,3,6,5] => [3,6,2,8,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,2,5,7,1,6] => [1,8,6,7,2,4,3,5] => [5,7,6,8,3,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,3,7,2,5,8,1,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,2,5,4,1,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,3,7,2,5,1] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,7,3,6,2,1,8,5] => [1,4,6,2,7,8,5,3] => [4,8,2,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,5,1,4,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,3,7,6,2] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,1,7,4,5,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,1,2,7,5,6,8,4] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,2,6,3,8,1,5] => [1,4,6,8,5,3,2,7] => [7,6,2,5,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,2,8,1,4,6] => [1,5,8,6,2,3,7,4] => [5,6,8,2,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,2,6,5,1,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,8,1,7,6,3] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,2,8,7,4,3] => [1,5,8,3,2,6,7,4] => [5,4,8,2,6,7,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,7,6,8,1,5,4,3] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,7,1,6,4,3,2] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,2,5,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,2,5,1,3,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,7,2,4,6,8,1,3] => [1,5,6,8,3,2,7,4] => [6,5,8,2,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,6,2,8,3] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,7,3,1,6,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,2,7,1,5,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,7,8,3,4,5,1,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,2,4,6,5,8] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,2,3,5,6,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,3,7,1,6,8,5,2] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,6,8,2,5] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,4,3,5,1,6] => [1,2,8,6,5,3,7,4] => [2,6,8,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,8,7,6,1,2,4,3] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,7,2,6,8,5,3] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,3,6,5,8,1] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,8,2,4,5,6,7,1] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,2,5,4,6,7,1] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,8,7,3,4,5,1,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,8,7,6,1,3,4,2] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,6,2,3,4,1] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,6,4,1,2,3] => [1,5,4,6,2,8,3,7] => [5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,3,5,2,8,1,6] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,1,3,4,8,5,2] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,8,7,2,3,5,4,6] => [1,2,8,6,5,3,7,4] => [2,6,8,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,1,2,8,3,5,6,4] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,3,7,8,6,2,5] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,4,3,6,8,7,2] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,2,3,6,5,1] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,4,8,5,1,2,7] => [1,3,4,8,7,2,6,5] => [6,2,3,8,7,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,8,5,2,1,3,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,8,2,6,3,1,4,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,2,3,7,4,1,5] => [1,6,4,3,2,8,5,7] => [5,4,3,7,2,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,1,5,4,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,5,3,4,2,6,7] => [1,8,7,6,2,3,5,4] => [5,6,8,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,4,5,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,7,1,6,2,5,4,8] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,2,1,5,4,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,6,1,5,4,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,4,1,6,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,3,4,1,5,2,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,1,5,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,5,1,3,7,4,8] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,2,5,1,3,7,4,8] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,4,2,6,3,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,6,2,3,8,4] => [1,5,2,7,8,4,6,3] => [3,8,6,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,6,3,1,2,7,4,8] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,7,1,5,3,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,6,2,7,1,4,3] => [1,8,3,6,2,5,7,4] => [5,3,8,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,2,7,8,4,3] => [1,6,8,3,2,5,7,4] => [5,4,8,6,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,3,1,4,2] => [1,8,2,6,3,7,4,5] => [3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,4,1,2,7,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,3,2,6,4,1] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,1,7,2,6,4,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,2,5,1,3,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,7,8,1,4,3] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,2,8,5,6,3,4] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,1,5,6,3,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,7,8,5,2,3,4] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,3,4,6,8,7,2] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,1,5,3,7,2] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,8,3,2,7,1] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,3,5,2,1,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,8,3,5,1,2,4] => [1,6,2,7,3,8,4,5] => [3,5,7,8,2,4,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,4,8,1,2,6,7,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,8,2,4,3,6,7,1] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,2,3,1,6,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,3,5,1,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,6,5,1,4,3,7,2] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,6,1,4,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,8,2,4,6,3] => [1,7,6,4,8,3,2,5] => [7,6,4,8,3,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,7,8,4,1,6,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,4,1,3,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,2,5,7,6,3,1] => [1,4,5,7,3,2,8,6] => [6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,4,6,5,1,8,2,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,5,3,4,1,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,2,5,3,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[2,6,3,5,1,8,7,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,4,7,6,5,8,1,3] => [1,2,4,6,8,3,7,5] => [2,6,3,8,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,8,7,6,3,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,1,6,7,2,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,1,3,5,2,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,2,8,5,1,4,3] => [1,7,4,8,3,2,6,5] => [6,5,3,8,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,8,7,5,6,3] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,2,6,7,1,5] => [1,8,5,6,7,2,4,3] => [6,8,7,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,4,6,7,1,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[6,2,7,3,8,4,1,5] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,3,2,8,5,1,6] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,2,5,3,1,6,8] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,4,7,8,2,3,1,5] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,6,2,5,3,1,7] => [1,4,2,8,7,3,6,5] => [3,6,2,8,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,3,8,2,7,5] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,4,2,7,6,5,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,7,2,6,5,4] => [1,2,8,4,7,5,3,6] => [2,7,4,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,8,5,4,7,3] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,6,7,2,5,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,6,1,2,5,3,8] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,3,2,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,1,3,2,6,8] => [1,5,3,7,6,2,4,8] => [6,3,7,2,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,4,8,2,1,3,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,8,2,5,1,3,7] => [1,4,2,6,3,8,7,5] => [3,5,2,8,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,4,6,2,1,5,3,8] => [1,7,3,6,5,2,4,8] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,6,3,8,5,7,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,5,2,6,8,4,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,5,8,1,2,3] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,1,6,3,5,2] => [1,7,5,6,3,8,2,4] => [7,5,8,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,8,2,4,7,5] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,4,1,7,6,2,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,5,2,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,4,5,2,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,6,3,4,2,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,5,7,3,4,2,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,3,5,2,6,4,8] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,5,6,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,2,4,5,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,7,2,1,3,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,4,7,3,5,8,2,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,8,6,2,3,5,1,7] => [1,4,2,8,7,3,6,5] => [3,6,2,8,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,4,8,2,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,3,7,2,1,4,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,6,3,7,2,4] => [1,8,4,6,7,2,5,3] => [6,8,3,7,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,7,3,8,2,4,6] => [1,5,8,6,2,3,7,4] => [5,6,8,2,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,6,1,2,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,1,2,3,5,8] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,1,3,6,2,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,7,2,3,4,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,1,5,2,3,4] => [1,7,3,8,4,2,6,5] => [6,3,5,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,7,2,3,4,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,8,7,3,6,5,4,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,8,3,4,2,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,4,6,5,8,2,3] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,4,6,3,8,2,5] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,4,6,5,2,8,3] => [1,7,8,3,4,6,2,5] => [7,4,5,8,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,6,5,3,2,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,1,6,8,2,5] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,7,2,6,8,1,5] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,7,2,6,5,1,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,3,2,5,6,1,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,3,1,2,6,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,1,6,2,8,5] => [1,3,7,8,5,6,2,4] => [7,2,8,5,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,1,6,3,4,2,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,1,3,4,7,2] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,2,4,3,1,5,8,7] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,8,7,4,1,5,2,6] => [1,3,7,2,8,6,5,4] => [4,2,8,7,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,7,3,6,1,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,8,2,1,6,5,4] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,3,5,2,7,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,4,6,2,3,1] => [1,7,3,8,2,5,6,4] => [5,3,8,6,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,3,5,2,7,1] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,6,2,4,7,8,1] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,1,5,8,6,3,7] => [1,4,5,8,7,3,2,6] => [7,6,2,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,5,7,8,6,2] => [1,4,5,7,6,8,2,3] => [7,8,2,3,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,7,3,1,4,8,2,5] => [1,6,8,5,4,2,7,3] => [6,8,5,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,1,6,7,8,5,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,2,6,1,8,3,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,1,6,8,3,7,5] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,7,3,1,5,8,2,4] => [1,6,8,4,2,7,3,5] => [5,7,4,8,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,1,7,8,3,6,5] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,8,6,3,4,1] => [1,7,4,8,2,5,6,3] => [5,8,3,6,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,8,6,2,4,5,1] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,8,5,6,1,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,8,4,5,6,2,1] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,8,1,5,2,7] => [1,6,5,2,4,8,7,3] => [4,8,5,3,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,3,8,2,4,7,5,1] => [1,6,7,5,4,2,3,8] => [6,7,5,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,4,2,6,8,1,3] => [1,5,6,8,3,4,2,7] => [7,5,6,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,1,4,2,7,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,4,2,6,1,3,8] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,8,2,4,7,1] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,2,1,5,8,7] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,1,8,5,6,4,3,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,3,7,8,4,2,1,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,6,2,3,8,4,1] => [1,5,3,6,8,2,7,4] => [6,3,8,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,8,4,3,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,7,6,2,1,3,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,6,7,3,4,2,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,3,4,2,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,5,2,3,1,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,6,2,3,1,7,4] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,7,5,2,8,6] => [1,4,7,8,6,2,3,5] => [6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,8,1,3,4,5,2] => [1,7,5,3,8,2,6,4] => [6,4,8,3,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,8,3,2,5,7,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,3,8,2,6,7,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,3,8,1,7,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,3,1,6,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,5,3,2,4,7,8,6] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,5,1,3,2,6,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,2,1,5,3,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,1,3,6,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,7,1,3,2,6,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,2,4,5,6,3] => [1,8,3,2,7,6,5,4] => [4,3,8,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,8,1,3,2,6,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,5,7,8,6] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,4,3,7,8,6] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,1,2,3,7,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,2,7,6,1,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,7,3,6,2,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,2,8,1,7,6,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,2,7,1,6,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,7,8,3,4,1,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,2,8,7,5,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,8,1,6,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,6,7,4,2,5,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,6,4,7,2,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,4,7,1,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,5,6,3,7,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,4,8,5,7,3] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,8,3,1,4,2,5,6] => [1,7,5,4,2,8,6,3] => [5,8,4,3,7,2,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,6,1,8,4,3,2,7] => [1,5,4,8,7,2,6,3] => [6,8,3,2,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,6,7,8,5,2,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[6,5,8,1,4,3,2,7] => [1,6,3,8,7,2,5,4] => [6,3,8,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,5,2,7,6,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,5,4,7,8,2,6] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,7,4,3,8,1,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,7,4,8,1,6] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,1,6,8,4,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,6,8,7,1,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,2,8,6,5,4] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,7,2,4,1,6] => [1,8,6,4,7,2,5,3] => [6,8,4,7,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,5,8,2,4,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,4,3,8,1,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,6,8,2,3,1,5] => [1,7,2,4,8,5,3,6] => [3,7,4,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,8,3,1,5,6] => [1,7,5,3,4,8,6,2] => [8,4,5,3,7,2,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,3,8,7,2,4,1,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,7,4,6,2,3,1,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,7,4,2,8,6,5] => [1,3,7,6,8,5,2,4] => [7,2,8,6,4,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,2,8,4,1,7,6,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,6,4,8,2,3,1,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,4,7,2,3,1,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,6,4,2,3,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,2,3,1,4] => [1,7,2,5,3,8,4,6] => [3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,7,5,2,3,1,4] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,1,5,8,7,2] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,3,8,7,1,5,2] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,3,7,1,5,2] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,6,8,1,5,7,3,2] => [1,4,2,6,7,3,8,5] => [3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,4,6,8,5,7,3,2] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,1,8,5,3,7,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,8,5,3,1,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,1,8,5,7,2] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,4,8,7,1,5,3,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,1,8,7,5,3,2] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,6,4,8,7,3,5,2] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,2,8,7,5,1,3,6] => [1,4,7,3,8,6,2,5] => [7,4,2,8,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,8,7,3,5,1,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,4,7,8,5,6,1] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,5,6,7,4,8,1,3] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,4,2,5,3,7,1,8] => [1,6,7,2,4,5,3,8] => [4,7,5,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,6,2,3,1,8] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,6,4,8,2,1,5,7] => [1,3,4,8,7,5,2,6] => [7,2,3,6,8,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,7,2,3,6,5,1,8] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,7,2,3,5,6,1,8] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,3,2,6,4,7,1,8] => [1,5,4,6,7,2,3,8] => [6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,2,6,1,8,5,7] => [1,4,6,8,7,5,2,3] => [7,8,2,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,2,7,4,3,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,4,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,1,4,5,8,6] => [1,7,8,6,5,4,2,3] => [7,8,6,5,4,2,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,7,1,4,3,5,2,6] => [1,8,6,5,3,2,7,4] => [6,5,8,4,3,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,2,5,3,1,6,7] => [1,8,7,6,2,4,5,3] => [5,8,6,7,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,8,4,3,5,1,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,3,5,4,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,3,4,6,1,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,3,4,7,2,5] => [1,6,7,2,8,5,4,3] => [4,8,7,6,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,3,4,6,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,7,3,5,4,2,6] => [1,8,6,4,3,7,2,5] => [7,5,4,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,8,1,6,3,7,4] => [1,5,6,3,8,4,2,7] => [7,4,6,2,3,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,4,1,2,6,5,3] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,1,3,8,5,2,7,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,6,8,1,4] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,1,4,6,8,2,3,7] => [1,5,8,7,3,4,6,2] => [8,5,6,2,7,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,7,6,3,5,4,8,2] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,6,5,1,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,6,1,5,7,2,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,6,8,5,7,3,4,2] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,5,3,1,6,2] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,8,5,2,4,1,7,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,1,4,2,3,6,8,5] => [1,7,8,5,3,4,2,6] => [7,5,6,4,8,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,3,4,6,7,2] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,3,8,1,6,5,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,1,4,7,2,5,3,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,2,4,1,7,8,6] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,4,8,6,2,7,1,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,8,2,1,6,7,3,4] => [1,5,6,7,3,2,8,4] => [6,5,8,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,2,8,6,4,3,1] => [1,5,6,4,8,2,7,3] => [6,8,4,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,4,6,3,1,5] => [1,2,7,3,8,5,6,4] => [2,4,8,6,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,4,5,7,2,6,8,3] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,2,3,6,1,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,6,4,3,7,1,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,7,3,2,6,4] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,4,2,7,6,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,5,8,2,3,7,6,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,4,8,7,2,5,3] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,4,8,2,7,5,3] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,8,2,7,6,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,6,4,8,3,2,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,6,1,4,8,2,5,3] => [1,7,5,8,3,2,6,4] => [6,5,8,3,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,3,8,2,5,4] => [1,7,5,8,4,3,2,6] => [7,6,5,3,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,3,4,8,2,1,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,3,8,6,1,4] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,1,3,8,6,5,4] => [1,7,5,8,4,3,2,6] => [7,6,5,3,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,6,5,1,8,7,4,3] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,6,1,2,3,8,5,4] => [1,7,5,3,2,6,8,4] => [5,4,8,3,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,1,5,4,2,8,6,3] => [1,7,6,8,3,5,2,4] => [7,5,8,6,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,2,3,8,6,4] => [1,7,6,8,4,2,3,5] => [6,7,5,8,3,2,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,1,2,4,3,8,6,5] => [1,7,6,8,5,3,2,4] => [7,6,8,5,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,6,1,4,3,2,8,5] => [1,7,8,5,3,2,6,4] => [6,5,8,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,8,3,5,4,1,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[7,4,1,2,8,5,3,6] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,1,2,6,5,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,6,8,3,2] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,1,8,2,6,5,3,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,3,4,8,6,7,2] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,8,1,6,7,2] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,8,6,1,5,4,3,2] => [1,7,3,6,4,2,8,5] => [6,3,5,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,8,6,5,4,2,1] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,6,1,5,3,2,4,7] => [1,8,7,4,5,3,2,6] => [7,6,4,5,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,4,5,2,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,1,5,2,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,6,1,5,2,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,2,1,5,4,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,1,7,4,3,5] => [1,8,5,7,3,6,4,2] => [8,5,7,3,6,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,1,7,4,3,2,6,5] => [1,8,5,3,7,6,2,4] => [7,4,8,3,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,7,8,1,3,2,6,4] => [1,5,3,8,4,2,7,6] => [6,3,5,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,4,7,2,3,5] => [1,8,5,7,3,6,2,4] => [7,5,8,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,7,4,1,2,5,6] => [1,8,6,2,3,7,5,4] => [4,5,8,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,1,7,3,2,4,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,7,3,2,6,4] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,7,1,2,6,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,6,7,1,5,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,8,7,1,5,4,3] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,5,2,3,4,7,1] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,7,3,6,8,1] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,4,6,8,1,3,7] => [1,5,8,7,3,4,6,2] => [8,5,6,2,7,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,3,5,2,6,8,1,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,5,7,2,8,1,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,7,2,5,8,1] => [1,4,7,8,2,6,5,3] => [5,8,2,7,6,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,3,5,1,7,8,2,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,6,4,1,7,8,2] => [1,3,6,7,8,2,5,4] => [6,2,8,7,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,5,6,7,4,8,2] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,4,7,1,3,5,8,2] => [1,6,5,3,7,8,2,4] => [7,4,8,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,6,1,7,8,4] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,2,6,7,4,8,1] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,2,3,6,1,7,8,4] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,6,1,3,7,8,4] => [1,5,3,6,7,8,4,2] => [8,3,7,2,4,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,3,7,2,5,8,1,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,7,2,8,1,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,2,5,6,8,3] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,2,7,8,3] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,1,2,7,8,3] => [1,6,7,8,3,5,2,4] => [7,5,8,6,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,5,7,1,3,4,8,2] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,6,3,1,7,8,2] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,2,6,1,3,7] => [1,8,7,3,5,6,2,4] => [7,4,8,5,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,3,1,6,2,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,7,8,1,2,4] => [1,5,8,4,7,2,6,3] => [6,8,4,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,7,2,3,8,1,4] => [1,5,3,7,2,6,8,4] => [5,3,8,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,5,2,8,1,3,6] => [1,7,3,5,8,6,2,4] => [7,3,8,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,3,2,4,8,1,5] => [1,6,8,5,4,2,7,3] => [6,8,5,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,5,6,1,2,8,3] => [1,7,8,3,5,2,4,6] => [6,4,7,5,8,2,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,5,7,2,1,8,3,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,2,1,4,8,3] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,6,7,3,1,8,2] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,8,6,3,4,2] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,8,6,4,1,2] => [1,5,6,4,8,2,7,3] => [6,8,4,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,5,6,4,1,2] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,8,3,6,4,2] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,7,8,3,6,4,2] => [1,5,3,7,4,8,2,6] => [7,3,5,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,7,5,8,6,4,2] => [1,3,7,4,5,8,2,6] => [7,2,4,5,8,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,5,8,3,6,4,2] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,5,3,6,4,2] => [1,2,7,4,5,3,8,6] => [2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,8,6,1,3,4,2] => [1,7,4,6,3,8,2,5] => [7,5,3,8,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,3,8,5,6,4,2] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,8,6,3,4,2] => [1,7,4,8,2,5,6,3] => [5,8,3,6,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,3,5,8,6,4,2] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,7,8,6,4,2] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[7,3,8,1,5,6,4,2] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,3,5,6,4,2] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,3,4,8,6,1,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,7,3,4,6,1,2,8] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,1,4,6,8,2] => [1,5,4,2,7,8,3,6] => [4,7,3,2,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,3,5,1,2,6,4] => [1,7,6,2,8,4,5,3] => [4,8,6,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,1,2,6,4,8] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,5,1,2,6,8,4] => [1,3,5,2,7,8,4,6] => [4,2,7,3,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,1,4,3,5,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,6,1,3,2] => [1,5,6,2,4,8,3,7] => [4,7,5,2,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,7,2,5,8,3,1,6] => [1,4,5,8,6,3,2,7] => [7,6,2,3,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,1,2,5,3,4,6] => [1,8,6,3,2,7,4,5] => [5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,7,6,2,8,1,3] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,3,4,6,8,5,2] => [1,7,5,6,8,2,3,4] => [6,7,8,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,1,4,6,2,3] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,6,1,8,3,5,2] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,5,6,7,2,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,1,8,7,5,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,8,3,6,1,4] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,8,1,2,5,6,3] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,7,8,6,3,5,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,3,4,2,1,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,6,2,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,1,4,7,3,8,6] => [1,2,5,7,8,6,3,4] => [2,7,8,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,8,7,2,5,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,6,3,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,5,2,8,7,6,3] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,2,8,6,5,3] => [1,7,5,8,3,4,2,6] => [7,5,6,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,1,8,7,6,2] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,3,6,2,8,7,4] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,8,3,2,7,6,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,5,8,3,1,7,6,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,5,8,2,1,7,6,3] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,6,2,5,1,4,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,2,8,4,1,3,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,5,8,1,3,7,6,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,1,2,8,7,5,3] => [1,6,7,5,8,3,2,4] => [7,6,8,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,4,7,5,3,1,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,4,5,8,6,2] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,4,7,5,3,1,2] => [1,6,3,4,7,2,8,5] => [6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,6,3,1,4,5,8] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,6,3,7,5,4,2] => [1,2,8,3,6,5,7,4] => [2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,2,7,3,6,5,4] => [1,2,8,4,7,5,3,6] => [2,7,4,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,6,8,4,7,2] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,8,2,1,5,6] => [1,4,8,6,2,7,5,3] => [5,8,2,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,6,4,5,7,1,3,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,5,7,1,3,8,4,2] => [1,6,8,2,5,3,7,4] => [4,6,8,5,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,1,7,4,6,2] => [1,5,7,6,4,2,8,3] => [6,8,5,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,1,7,5,4,6,2] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,8,7,4,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,3,6,5,4,2] => [1,7,4,3,8,2,5,6] => [6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,2,7,1,6,4,3] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,8,5,2,4,1] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,3,4,6,8,5,1] => [1,7,5,6,8,2,3,4] => [6,7,8,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,4,8,7,1,6] => [1,5,8,6,7,2,3,4] => [6,7,8,2,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,7,3,6,4,2] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,7,3,1,6,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,3,4,8,5,1,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,4,1,8,6,5] => [1,7,6,8,5,2,3,4] => [6,7,8,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,4,8,7,5,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,4,6,5,2,3] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,5,4,6,2,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,1,7,3,2] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,7,1,6,3,2] => [1,4,7,3,5,2,8,6] => [6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,4,7,1,5,6,3,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,1,4,5,6,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,6,1,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,4,6,2,3] => [1,8,3,5,4,2,7,6] => [6,3,5,4,8,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,7,2,5,1,6,3] => [1,4,2,8,3,7,6,5] => [3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,4,8,5,2,7,3] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,7,1,4,2,5,6,3] => [1,8,3,2,7,6,5,4] => [4,3,8,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,3,8,6,7,5,1,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,8,6,7,5,2,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,7,1,8,2,6,3,4] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,7,1,3,5,6,4] => [1,2,8,4,3,7,6,5] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,3,7,4,1,5,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,8,6,7,5,1,3] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,2,7,5,6,1,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,4,7,5,1,6,2] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,5,1,6,2,3,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,2,4,1,5,6,3] => [1,8,3,2,7,6,5,4] => [4,3,8,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,8,6,1,7,2,5,3] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,4,1,2,5,6,3] => [1,8,3,4,2,7,6,5] => [5,3,4,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,7,1,3,6,4,5] => [1,8,5,3,7,4,2,6] => [7,4,6,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,1,5,6,2,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,2,1,6,7,4,3] => [1,8,3,2,5,6,7,4] => [4,3,8,5,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,6,7,5,3,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,4,1,2,7,5,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,2,6,7,5,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,6,7,3,5,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,1,7,2,3,6,4,5] => [1,8,5,3,7,4,2,6] => [7,4,6,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,2,4,5,7,1] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,8,3,5,4,7,1] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,7,6,1,3,5] => [1,8,5,6,2,4,7,3] => [5,8,6,3,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,2,1,6,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,2,1,4,3,6] => [1,7,3,5,2,8,6,4] => [5,3,8,4,7,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,2,3,1,4,8,6] => [1,7,8,6,4,3,2,5] => [7,6,5,8,4,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,8,1,3,2,4,6,7] => [1,5,2,8,7,6,4,3] => [3,8,7,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,8,3,7,2,5,4,1] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,8,2,3,7,1] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,4,2,5,6,1,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,8,1,5,7,3] => [1,6,5,2,4,8,3,7] => [4,7,5,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,4,2,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,1,5,6,2,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,4,6,2,1,3] => [1,5,6,2,7,3,8,4] => [4,6,8,2,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,6,4,7,2,1,3] => [1,5,7,2,8,3,6,4] => [4,6,8,2,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,7,5,8,6,3,2,1] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,2,6,4,1] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,7,8,6,2,4,1] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,4,6,7,2,1,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,4,3,7,8,1] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,5,7,3,2,1] => [1,4,5,7,2,6,3,8] => [5,7,2,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,8,2,7,1,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,3,4,1,5,8,6,2] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,5,8,4,2,6,3,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,1,4,3,5,2,8] => [1,6,5,3,2,7,4,8] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,2,4,1,5,3,6] => [1,7,3,2,8,6,5,4] => [4,3,8,7,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,2,4,3,5,1,8] => [1,6,5,3,2,7,4,8] => [5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,1,3,2,7,4,8] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,3,2,7,6,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,5,2,3,1,7,6,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,5,4,6,1,7,2,8] => [1,3,4,6,7,2,5,8] => [6,2,3,7,4,5,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,1,6,4,7,2,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,5,3,6,2,7,4,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,6,1,7,4,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,2,6,4,7,1,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,5,3,6,1,7,4,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,7,3,5,8,1] => [1,4,7,8,2,6,5,3] => [5,8,2,7,6,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,6,1,7,3,8,2,5] => [1,4,7,2,6,8,5,3] => [4,8,2,7,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,4,3,8,2,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,3,1,8,4,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,5,8,4,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,5,8,6,4,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,4,7,3,1,8,5,6] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,2,7,1,8,3,5] => [1,4,7,3,2,6,8,5] => [5,4,2,8,6,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,1,7,8,6,3,4] => [1,2,5,8,4,7,3,6] => [2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,6,2,8,7,4,5] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,2,8,4,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,5,2,7,8,4,1] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,7,8,4,2,6,3] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,2,5,7,3,1,8,6] => [1,4,7,8,6,2,3,5] => [6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,1,7,5,2,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,3,2,1,6,4,7,8] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,6,2,7,4,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,6,3,7,4,2,8] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,6,3,7,4,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,1,7,4,5,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,7,1,3,6,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,6,4,3,1,7,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,1,6,3,7,8] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,6,3,1,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,5,4,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,1,6,4,3,2,7,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,3,2,7,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,6,5,4,1,7] => [1,3,2,8,7,4,6,5] => [3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,2,8,6,1,4,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,1,5,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,6,7,4,1,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,3,7,2,5,6,1,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,6,5,2,4,8] => [1,3,2,7,4,6,5,8] => [3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,6,4,7,1,3,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,8,2,7,6,3,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,3,6,1,5,4,2] => [1,8,2,7,4,6,5,3] => [3,8,5,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,2,1,8,3,5] => [1,4,2,7,3,6,8,5] => [3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,1,8,4,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,3,8,2,7,5,4] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,8,2,6,4] => [1,2,7,6,3,5,8,4] => [2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,5,1,3,8,6,4] => [1,2,7,6,8,4,3,5] => [2,7,6,8,4,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,1,4,3,2,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,7,6,2,4,1,8,5] => [1,3,6,2,7,8,5,4] => [4,2,8,7,3,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,1,7,8,4,2,6] => [1,5,8,6,4,7,2,3] => [7,8,5,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,7,5,3,1,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,3,1,6,5,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,1,8,3,4,2,5] => [1,6,4,8,5,3,2,7] => [7,6,3,5,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,2,7,1,8,3,4] => [1,5,2,6,8,4,7,3] => [3,8,6,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,8,3,6,1,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[2,3,1,8,5,6,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,2,4,3,6,1,8] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,7,1,5,3,8] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,7,1,4,2,8] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,1,6,3,4,2,8] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,6,4,7,2,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,1,4,2,8,5,6] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,2,3,1,8,5,6] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,2,8,7,4,6,3,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,8,7,6,2,3] => [1,4,8,3,5,7,2,6] => [7,4,2,5,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,6,8,7,4,5,1] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,8,7,2,5,3] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,8,4,7,3,5,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,3,4,7,1,6,2] => [1,5,7,6,2,8,3,4] => [5,7,8,2,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,8,3,6,4,1] => [1,5,3,7,4,8,2,6] => [7,3,5,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,3,2,7,4,1] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,2,3,6,1] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,1,3,7,4,2] => [1,5,3,8,2,6,7,4] => [5,3,8,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,5,8,6,3,1] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,7,8,4,3,6,1] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,6,8,4,7,2,3,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,8,7,1,2] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,1,4,6,2,3,5] => [1,7,3,2,8,5,6,4] => [4,3,8,6,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,4,5,8,6,2,7,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,5,8,3,4,7,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,1,2,3,5,4,6] => [1,7,4,2,8,6,5,3] => [4,8,3,7,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,6,8,2,3,5,7,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,6,8,4,5,2,7,3] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,2,3,4,7,5] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,5,7,6,2,8,3] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,1,2,3,4,6,5] => [1,7,6,4,2,8,5,3] => [5,8,4,7,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,2,3,6,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,1,6,5,3,8,7] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,3,5,1,8,7] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,8,2,4,3,1,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,4,6,5,3,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,6,4,8,5,7,3] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[4,6,5,2,8,3,7,1] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,2,8,3,5,7,1] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,4,3,6,5,1,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,4,6,5,2,1,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,8,5,2,1,7,3] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,4,8,6,7,3,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,2,8,6,5,7,1,3] => [1,4,6,7,2,3,8,5] => [5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,6,4,5,1,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,6,8,4,3,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,3,1,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,2,1,5,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,5,3,2,6,7] => [1,8,7,6,2,4,5,3] => [5,8,6,7,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,7,8,4,3,5,2,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,1,5,6,2,3] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,4,3,5,6,2] => [1,7,6,5,3,8,2,4] => [7,5,8,4,3,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,7,3,8,4,5,2,1] => [1,6,5,4,8,2,7,3] => [6,8,4,3,2,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,2,7,8,4,3,1,5] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,1,2,7,6,5,8,4] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,5,3,6,4,8,2] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,6,7,4,8,3] => [1,5,7,8,3,2,4,6] => [6,5,7,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,8,3,2,5,7] => [1,4,8,7,5,3,2,6] => [7,6,2,5,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,8,7,3,4,2] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,1,6,3,2,5,7] => [1,4,6,2,8,7,5,3] => [4,8,2,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,1,6,3,2,5,8] => [1,4,6,2,7,5,3,8] => [4,7,2,6,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,5,3,7,2,4] => [1,6,7,2,8,4,5,3] => [4,8,6,7,2,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,7,5,2,4,1,6,3] => [1,8,3,5,4,2,7,6] => [6,3,5,4,8,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,3,4,7,6,2] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,1,2,3,5,6,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,3,7,5,8,2] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,1,7,6,4,2,5] => [1,3,2,8,5,6,4,7] => [3,2,7,5,6,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,6,2,4,3,1,5,8] => [1,7,5,3,2,6,4,8] => [5,4,7,3,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,4,3,5,1,6] => [1,8,6,5,3,2,7,4] => [6,5,8,4,3,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,2,3,5,4,8,6] => [1,7,8,6,4,3,2,5] => [7,6,5,8,4,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,1,2,3,5,8,4,7] => [1,6,8,7,4,3,2,5] => [7,6,5,8,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,3,5,7,4,8] => [1,6,7,4,3,2,5,8] => [6,5,4,7,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,5,6,3,4,7,8,2] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,4,5,2,3,8,6,1] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,1,2,8,7] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,4,5,8,6,1] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,2,3,4,5,7,1,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,6,8,5,1,2] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,8,5,3,4] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,6,8,4,1,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,5,7,1,4,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,3,5,1,7,2] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,5,1,8,4,6,7,2] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,3,7,4,2,6,1,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,3,2,4,5,7,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,7,4,2,1,6,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,5,4,6,3,2] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,8,4,6,3,7,2] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,4,1,2,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,8,2,4,7,6,5,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,1,4,6,7,5,2] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,2,5,1,7,6,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,4,3,5,1,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,5,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,1,3,6,2,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,6,1,5,7,2,8,4] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,8,7,2,1,4,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,4,7,5,8,2,3,1] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,4,2,6,3,1] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,6,2,8,3,1] => [1,5,2,4,6,8,3,7] => [3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,8,5,7,2,3,1] => [1,4,5,7,3,8,2,6] => [7,5,2,3,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,5,8,7,2,1] => [1,4,5,8,2,6,7,3] => [5,8,2,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,8,2,7,4,1] => [1,5,2,6,7,4,8,3] => [3,8,6,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,5,8,7,2,4,1] => [1,3,5,7,4,8,2,6] => [7,2,5,3,8,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,7,2,8,6,5,1] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,3,2,7,6,8,4,1] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,3,8,5,2,4,1] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,5,3,6,1,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,5,8,4,3,7,6,1] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,6,8,4,7,3,5,1] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,4,8,6,2,1,5] => [1,3,4,8,5,6,2,7] => [7,2,3,5,6,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,4,8,2,7,6,1] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,2,8,4,5,1,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,7,5,6,2,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,6,8,4,3,5,7,1] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,5,8,1,2,6,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,6,7,4,3,2,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,2,3,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,4,3,8,1,7,2] => [1,6,2,5,8,3,4,7] => [3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,8,3,6,5,1,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,8,5,4,6,3,1] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,6,5,7,3,4,1,8] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,4,6,1,3,5] => [1,2,7,3,8,5,6,4] => [2,4,8,6,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,3,2,7,8,5,6,4] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,5,2,1,8,7,3,4] => [1,6,7,3,2,5,8,4] => [5,4,8,6,2,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,4,2,6,3,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,3,8,2,7,4] => [1,5,8,4,3,6,2,7] => [7,5,4,2,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,1,5,6,2,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,7,8,4,5,6,2,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,8,4,2,6,7,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,3,8,5,2,7,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,2,3,7,5,1,4,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,3,4,8,6,2,5] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,3,4,8,1,7,5] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,5,1,7,2,3,4,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,1,5,8,2,7,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,4,5,3,2,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,6,3,7,5,2] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,6,7,3,4,2] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,3,8,6,7,4,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,3,8,6,7,1,5,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,4,1,8,6,7,5,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,6,1,7,4,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[3,5,1,6,7,8,4,2] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,5,6,1,7,8,3,2] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,1,6,7,4,8,2] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,1,5,6,7,4,3,2] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,1,6,7,4,2,8] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,5,6,1,7,3,2,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,2,1,4,8,3,5] => [1,7,3,2,6,8,5,4] => [4,3,8,7,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,1,2,4,8,3,5] => [1,7,3,2,6,8,5,4] => [4,3,8,7,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,2,5,4,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,2,5,4,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,5,4,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,1,5,4,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,5,4,8,3,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[3,2,7,5,4,8,1,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,8,4,7,3,1,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,4,8,1,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,8,3,2,4,7,1,5] => [1,6,7,2,8,5,4,3] => [4,8,7,6,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,7,5,4,8,2,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,7,5,4,8,2,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,5,8,4,7,3,2,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,3,7,5,1,2] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,7,3,2,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,5,4,8,2,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,1,4,7,2,5] => [1,8,5,4,2,6,7,3] => [5,8,4,3,6,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,1,3,2,7,8,5,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,7,3,5,4,8,1,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,4,7,3,1,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,5,1,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,5,2,1,8,4] => [1,7,8,4,5,2,3,6] => [6,7,4,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,4,2,1,3] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,2,8,1,3,7,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,6,3,1,4,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,5,8,1,4,7,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,7,6,3,1,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,6,3,1,5,4] => [1,2,8,4,6,3,7,5] => [2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,8,7,6,3,1,4] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,8,1,4,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,1,8,4,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,6,3,1,4,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,2,1,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,7,6,1,8,5,2,3] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,1,6,5,2,3] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,8,6,1,2,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,1,7,6,2,3,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,8,7,6,2,3,4] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,8,7,2,3,6] => [1,4,8,6,2,5,7,3] => [5,8,2,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,8,2,7,3,4] => [1,6,7,3,2,5,4,8] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,1,8,2,3,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,8,7,4,1,2,3] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,5,7,4,1,2,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,8,4,2,3,6,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,8,3,4,6,7,1] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,6,2,1,5,7,8,3] => [1,4,2,6,7,8,3,5] => [3,7,2,8,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,3,1,7,8,6] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,2,7,5,1,3,8] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,3,1,8,7,4,5] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,4,2,3,7,8,6,1] => [1,5,7,6,8,2,4,3] => [6,8,7,2,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,8,4,7,2,5,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,3,8,4,1,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,1,5,3,8,7] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,7,5,2,1,6,3,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,8,3,1,7,2,4,6] => [1,5,7,4,2,8,6,3] => [5,8,4,2,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,1,6,3,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,2,5,1,7,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,8,4,3,1,5,7,2] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,2,1,5,7,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,1,7,5,8,2] => [1,6,5,7,8,2,4,3] => [6,8,7,3,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,7,6,4,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,1,8,5,7,3,6] => [1,4,8,6,7,3,2,5] => [7,6,2,8,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,1,7,5,3,8] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,2,1,7,3,6,4,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,2,7,6,1,4,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,8,7,1,4,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,5,8,4,7,3,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,2,5,7,1,6,8] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,2,1,7,8,5,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,8,7,5,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,2,1,6,7,8,4] => [1,5,6,7,8,4,2,3] => [7,8,6,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,5,4,7,3,1] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,7,3,6,1,8] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,2,8,3,6,1,7] => [1,5,3,2,4,8,7,6] => [4,3,5,2,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,4,3,7,1,2,8,5] => [1,6,2,4,7,8,5,3] => [3,8,4,7,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,8,4,2,1,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,8,4,3,1,5,6] => [1,7,5,3,8,6,2,4] => [7,4,8,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,8,4,2,6,1] => [1,7,6,2,5,4,8,3] => [4,8,6,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,6,8,1,2,5,3,4] => [1,7,3,8,4,2,6,5] => [6,3,5,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,7,8,2,3,4] => [1,6,2,5,8,4,7,3] => [3,8,6,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,1,7,3,8,2,6] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,1,5,7,6,2,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,2,5,3,1,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,1,3,5,2,8,4,7] => [1,6,8,7,4,5,2,3] => [7,8,5,6,2,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,5,2,7,1,4,8,3] => [1,6,4,7,8,3,2,5] => [7,6,3,8,2,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,4,5,3,8,1,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,1,3,2,5,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,5,7,1,4,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,5,6,2,4,7,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,1,3,2,7,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,3,1,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,1,2,8,6,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,6,2,8,4,3,1,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,8,3,1,6,7,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,5,8,3,2,6,7,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,8,7,2,1,6,3,5] => [1,4,2,8,5,3,7,6] => [3,6,2,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,6,3,4,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,7,2,5,8,1,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,4,5,2,6,3,1,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,6,1,3,2,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,6,5,8,2,3] => [1,2,4,6,8,3,7,5] => [2,6,3,8,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,8,3,4,6,1,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,5,1,3,2,4] => [1,7,2,6,3,8,4,5] => [3,5,7,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,4,6,1,7,3] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,7,6,4,1,2,5,3] => [1,8,3,6,2,7,5,4] => [5,3,8,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,6,7,5,8,1,2] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,6,1,3,7,8,2] => [1,5,3,6,7,8,2,4] => [7,3,8,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,8,1,3,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,5,8,2,6,4] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,1,7,2,6,8,3,5] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,7,3,5,8,4] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,3,4,7,2,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,1,7,3,4,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,8,7,1,5,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,7,3,5,4,1] => [1,6,5,3,2,8,4,7] => [5,4,7,3,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,7,1,6,2,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,1,8,5,2,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,7,3,6,4,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,8,7,3,4,6] => [1,5,7,4,8,6,3,2] => [8,7,4,2,6,3,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,6,5,2,7,3,8,1] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,1,8,3,5,4] => [1,6,3,7,5,8,4,2] => [8,3,7,5,2,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,7,5,4,8,3,6,1] => [1,2,7,6,3,5,8,4] => [2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,4,3,2,7,1,6,5] => [1,8,5,7,6,2,4,3] => [6,8,7,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,8,7,4,5,1,2] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,6,1,3,5,2,8,4] => [1,7,8,4,3,2,6,5] => [6,5,4,8,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,1,3,5,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,4,5,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,5,8,3,2,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,4,5,8,1,3,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,2,1,5,3,8,6] => [1,4,2,7,8,6,3,5] => [3,7,2,8,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,4,7,2,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,2,7,8,6] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,2,1,3,7,8,6] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,7,8,1,5,3] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,5,1,3,2,4,7] => [1,8,7,4,2,6,3,5] => [5,7,4,8,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,1,2,5,4,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,5,3,2,7] => [1,4,2,8,7,3,6,5] => [3,6,2,8,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,4,2,3,1] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,3,8,7,1,6,4,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,2,7,4,5,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,7,3,6,4,1] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,8,1,6,3,5] => [1,2,4,8,5,3,7,6] => [2,6,3,5,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,7,8,2,6,3,1] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,4,1,2,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,1,5,2,3,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,2,7,6,1,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,5,8,6,1,4,7,2] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,8,5,6,1,4,7,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,1,5,2,7,3] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,2,3,7,6,1,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,6,4,8,5,1,7,3] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,6,4,8,5,2,1,3] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,3,1,2,8,5,6] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,2,1,4,5,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,1,3,8,6] => [1,4,2,7,8,6,3,5] => [3,7,2,8,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,4,8,6,3,5] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,3,2,1,8,5,6] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,7,3,1,5,2] => [1,4,7,5,3,8,2,6] => [7,5,2,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,5,6,3,8,2,4] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,4,3,6,5,2] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,3,7,4,2,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,8,4,2,6,3] => [1,7,6,2,5,4,8,3] => [4,8,6,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,7,8,4,6,5,3] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,2,3,5,7,1,4] => [1,8,4,3,2,6,7,5] => [5,4,3,8,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,2,4,3,1,5,6] => [1,7,5,3,2,8,6,4] => [5,4,8,3,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,1,3,5,8,4] => [1,6,5,3,7,8,4,2] => [8,4,7,3,2,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,4,3,1,7,5,2,6] => [1,8,6,5,7,2,4,3] => [6,8,7,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,1,4,6,8,5,2] => [1,7,5,6,8,2,3,4] => [6,7,8,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,2,8,7,1,6] => [1,5,8,6,7,2,3,4] => [6,7,8,2,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,7,3,4,6,1] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,7,5,4,2,1] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,2,1,4,8,5,7] => [1,6,8,7,5,4,2,3] => [7,8,6,5,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,4,8,7,5,3] => [1,6,7,5,8,3,2,4] => [7,6,8,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,8,3,5,7,4,1] => [1,6,7,4,3,8,2,5] => [7,5,4,8,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,1,8,3,5,4,6,2] => [1,7,6,4,3,8,2,5] => [7,5,4,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,2,4,8,6,5] => [1,7,6,8,5,4,2,3] => [7,8,6,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,5,3,2,1,7] => [1,8,7,2,4,5,3,6] => [4,7,5,6,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[5,1,6,4,3,2,8,7] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,1,5,4,3,2] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,5,6,1,4,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,2,5,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,8,2,3,1,5,6] => [1,7,5,3,8,6,2,4] => [7,4,8,3,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,4,1,8,2,3] => [1,6,8,3,7,2,5,4] => [6,4,8,7,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,5,1,8,2,3] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,4,1,3,6,2,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,3,6,1,8,2,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,4,7,3,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,3,7,1,5,2] => [1,4,3,6,2,8,5,7] => [5,3,2,7,4,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,8,6,1,7,5,3,2] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,6,7,1,3,8,2,4] => [1,5,3,7,2,6,8,4] => [5,3,8,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,6,8,7,4,2,1,3] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,5,7,6,3,1,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,6,8,2,3] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,7,1,8,2,5,3,6] => [1,4,8,6,5,2,7,3] => [6,8,2,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,2,4,3,7,8,1,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,2,7,5,6,8,3,4] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,8,4,6,3,2,1,5] => [1,7,2,8,5,3,4,6] => [3,6,7,5,8,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,6,3,5,7,2,8,4] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,4,6,5,7,2,1,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,2,6,8,1,3] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,6,8,7,1,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,5,4,2,3,8,1,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,2,6,7,3,1,4,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,3,5,6,2,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,5,7,1,8,4,6,2] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,1,3,7,8,4,2,6] => [1,5,8,6,4,7,2,3] => [7,8,5,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,8,1,7,3,4,6] => [1,2,5,7,4,3,8,6] => [2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,2,7,3,1,4,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,3,7,1,4,5] => [1,6,2,8,5,7,4,3] => [3,8,7,5,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,8,3,7,1,4,6] => [1,5,7,4,3,8,6,2] => [8,5,4,2,7,3,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,2,8,4,6,1,3,7] => [1,5,6,2,3,8,7,4] => [4,5,8,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,8,3,2,7,1,4,6] => [1,5,7,4,2,8,6,3] => [5,8,4,2,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,3,7,1,4,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,3,7,2,4,6] => [1,5,7,4,3,8,6,2] => [8,5,4,2,7,3,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,1,8,4,6,2,3,7] => [1,5,6,2,3,8,7,4] => [4,5,8,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,8,5,1,6,2,3,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,5,2,6,1,3,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,7,4,3,8,2,1,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,5,8,1,2,4,3] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,4,8,2,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,3,4,8,1,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,7,5,8,3,1,4,2] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,6,1,4,8,3] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,8,2,3,5,1] => [1,6,3,4,8,2,7,5] => [6,3,4,8,2,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,8,1,3,5,2] => [1,6,3,4,8,2,7,5] => [6,3,4,8,2,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,4,8,2,5,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,3,4,7,5,6,1] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,4,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,6,8,7,4,2,3] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,7,6,3,2,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,6,5,7,2,1] => [1,4,6,7,2,3,8,5] => [5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,8,6,7,5,2,3] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,7,8,6,4,2,3] => [1,5,6,4,8,3,7,2] => [8,6,4,2,3,7,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,8,4,5,1,6,3,2] => [1,7,3,4,5,2,8,6] => [6,3,4,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,5,8,1,4,6,7,2] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,2,7,8,5,3,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,8,6,5,3,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,2,7,8,5,1,4,6] => [1,3,7,4,8,6,2,5] => [7,2,4,8,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,7,8,5,1,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,1,8,4,3,2] => [1,5,8,2,7,3,6,4] => [4,6,8,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,1,8,4,3,2] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,4,2,5,3,6] => [1,2,8,6,5,3,7,4] => [2,6,8,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,1,6,4,2,5,3,8] => [1,7,3,6,5,2,4,8] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,6,5,4,7,1,3,8] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,7,1,6,4,2,8] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,8,6,3,5,1] => [1,7,5,6,3,2,4,8] => [6,5,7,3,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,1,8,7,4,2] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,4,6,1,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,7,5,4,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,1,8,6,3,5] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,3,5,7,4,2,1] => [1,8,2,6,4,5,7,3] => [3,8,5,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,4,2,1,5] => [1,8,5,4,7,2,6,3] => [6,8,4,3,7,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,8,6,4,7,5,1,3] => [1,2,8,3,6,5,7,4] => [2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,3,7,4,2,5,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,2,5,8,6,3] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,1,7,4,2,5] => [1,8,5,7,2,6,4,3] => [5,8,7,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,2,5,3,1,6] => [1,8,6,3,4,2,7,5] => [6,4,5,8,3,7,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,2,8,6,3,1,5] => [1,7,2,4,8,5,6,3] => [3,8,4,6,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,3,1,8,5,2,7,4] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,2,7,4,6,3] => [1,2,8,3,5,7,6,4] => [2,4,8,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,6,3,1,8,5,2] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,6,3,1,5,7,4,2] => [1,8,2,6,7,4,3,5] => [3,7,6,8,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,4,8,5,2,1,6,3] => [1,7,6,2,4,5,3,8] => [4,7,5,6,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,5,2,1,7,4,6,3] => [1,8,3,2,5,7,6,4] => [4,3,8,5,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,4,8,1,2,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,4,3,8,1,6,2,5] => [1,7,2,4,8,5,3,6] => [3,7,4,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,8,7,1,2,4] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,3,8,1,7,2,5] => [1,4,8,5,2,6,7,3] => [5,8,2,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,3,8,6,1,2,4] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,5,6,1,3,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,8,7,5,6,2,3,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,5,7,1,3,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,8,7,1,2,4] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,2,7,6,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,2,8,7,6,1,3,4] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,7,6,1,3,4] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,7,5,2,3,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,4,1,3,5,6] => [1,2,8,6,3,7,5,4] => [2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,8,7,1,3,2,6] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,6,1,3,2,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,1,4,5,3,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,7,2,3,5,4,1,6] => [1,8,6,4,3,2,7,5] => [6,5,4,8,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,4,8,7,2,6] => [1,5,8,6,7,2,3,4] => [6,7,8,2,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,2,8,7,1,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,6,8,2,5,3] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,1,6,5,4,8,3] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,3,2,6,1,8,5,4] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,3,6,8,1,5] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,6,3,2,5,7] => [1,8,7,5,3,2,4,6] => [6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,6,2,7,4,1,5] => [1,3,6,4,2,8,5,7] => [5,2,4,7,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,6,2,4,1,3,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,5,7,6,1,3,2] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,4,2,3,6,1] => [1,7,6,3,8,2,5,4] => [6,4,8,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,4,5,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,6,5,8,4,1,3] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,8,3,7,4,1,5] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,1,8,4,5,2] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,8,2,5,6,4,1] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,8,7,1,4,3,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,1,8,6,2,4,3,5] => [1,7,3,8,5,2,4,6] => [6,3,7,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,2,7,5,3,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,4,1,7,2,8,5] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,1,6,5,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,2,7,5,1,6,4,3] => [1,8,3,7,4,5,2,6] => [7,3,5,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,1,5,3,2,8,4,7] => [1,6,8,7,4,3,5,2] => [8,6,5,7,2,4,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,8,6,1,5,2,7,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,7,1,5,2,8,4] => [1,3,7,8,4,2,6,5] => [6,2,5,8,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,2,1,5,8,3,6] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,5,8,3,2,6] => [1,7,2,4,5,8,6,3] => [3,8,4,5,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,6,4,8,1,5] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,1,7,4,8,3,6] => [1,5,4,7,3,2,6,8] => [6,5,3,2,7,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,5,7,3,1,6,8,2] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,7,1,3,8,5,2] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,1,5,8,3,2] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,2,7,6,3,8] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,1,3,7,6,4,8] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,4,3,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,1,4,2,8,6,3] => [1,7,6,8,3,2,5,4] => [6,5,8,7,3,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,3,6,4,8,1,5,2] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,3,2,7,1,6,4,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,6,1,5,4,3,8] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,3,2,1,7,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,1,6,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,1,4,3,7,6] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,7,4,1,8,3,6,5] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,5,1,8,4,2,7,6] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,1,5,7,3,6,2,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,4,7,5,2,3] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,2,6,1,4,3] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,6,5,1,2,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,1,3,5,4,2,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,5,4,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,6,5,3,1,8,4] => [1,2,7,8,4,5,3,6] => [2,7,5,6,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,1,4,7,8,3] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,6,5,2,1,8,3] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,2,4,1,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,1,5,4,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,1,4,2,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,4,2,6,3,8,5] => [1,2,7,8,5,6,3,4] => [2,7,8,5,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,8,1,4,3] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,7,6,1,5,4,3] => [1,8,3,7,4,6,5,2] => [8,3,5,7,6,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,4,1,7,6,5,3,2] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,2,7,8,1,6] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,7,3,8,4,2,1] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,7,4,5,8,1,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,4,7,5,8,1,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,7,8,2,5,1] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,3,1,7,8,2,6] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,4,1,3,8,2] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,3,6,2,1,4,5] => [1,7,4,6,2,8,5,3] => [5,8,3,7,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,7,2,3,5,6,4] => [1,2,8,4,3,7,6,5] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,3,1,6,7,5,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,2,3,6,8,1] => [1,5,3,7,8,2,4,6] => [6,3,7,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,6,7,1,3,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,1,5,3,2,6,4] => [1,7,6,2,8,4,5,3] => [4,8,6,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,5,8,1,4,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,7,4,6,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,1,8,3,5,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,7,5,3,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,2,3,7,6,8,4,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,8,4,6,5] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,2,3,7,8,6,4,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,3,8,6,2,4,1] => [1,7,4,8,2,5,6,3] => [5,8,3,6,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,8,3,7,4,5,1] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,3,7,5,6,2] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,6,4,7,3,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,8,5,6,2,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,8,7,5,4,6,1] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,8,6,3,4,5,1] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,5,7,3,1] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,5,7,4,6,2] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,4,5,6,3,1] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,4,6,8,3,2,1] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,2,7,1,3,8,5,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,1,3,8,6,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,1,2,4,8,6,3] => [1,7,6,8,3,2,5,4] => [6,5,8,7,3,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,4,2,3,7,1,5,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,8,1,6,2,4,7] => [1,5,6,2,3,8,7,4] => [4,5,8,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,8,1,3,7,4,5,2] => [1,6,4,3,2,8,5,7] => [5,4,3,7,2,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,8,1,6,3,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,8,7,1,3,5,6,2] => [1,4,2,8,3,7,6,5] => [3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,7,1,2,3,6,5] => [1,4,2,8,5,3,7,6] => [3,6,2,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,6,2,3,5,4] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,1,2,5,3,6] => [1,7,3,4,2,8,6,5] => [5,3,4,8,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,4,7,2,5,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,1,6,3,5,4] => [1,7,5,6,3,2,8,4] => [6,5,8,3,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,3,7,4,1,5,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,3,7,6,4,5,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,1,4,5,7,8,2] => [1,6,7,8,2,3,4,5] => [5,6,7,8,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,4,6,2,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,4,7,6,8,3] => [1,5,7,8,3,2,4,6] => [6,5,7,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,1,2,6,3,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,7,4,6,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,7,5,1,6,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,7,5,2,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,4,2,3,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,8,4,2,3,6,5] => [1,2,7,6,3,8,5,4] => [2,5,8,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,3,4,2,6,5] => [1,8,5,4,3,2,7,6] => [6,5,4,3,8,7,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,7,4,3,6,2,8,5] => [1,2,7,8,5,6,3,4] => [2,7,8,5,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,3,6,2,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,3,4,2,6,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,1,3,7,2,8,5] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,8,5,7,3,4,1,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,5,8,4,3,1,6] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,3,5,4,7,1,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,1,2,6,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,1,2,5,7,4,8] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,4,5,8,2,1] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,8,7,5,3,6,4] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,1,4,8,6,3,2] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,3,8,1,4,7,2] => [1,5,2,6,4,8,3,7] => [3,7,5,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,1,5,4,8,7] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,2,6,1,3,8,7] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,8,1,7,4,3,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,5,4,8,1,3] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[2,1,5,8,4,3,7,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,4,8,1,5,3,2] => [1,7,3,4,8,2,6,5] => [6,3,4,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,7,6,3,8,1,4,5] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,4,8,3,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,8,7,2,6,1,3] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,2,6,3,1,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,1,3,4,8,7] => [1,6,4,2,5,3,7,8] => [4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,2,3,4,8,5,1] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,8,3,7,2,1,4,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,6,3,2,4,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,8,1,5,2,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,1,2,5,3,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,1,2,4,3,5,6,7] => [1,8,7,6,5,3,2,4] => [7,6,8,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[3,5,2,4,7,6,1,8] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,4,7,6,1,8,2] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,7,4,6,1,8,2] => [1,3,7,8,2,5,6,4] => [5,2,8,6,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,7,6,1,2,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,7,5,4,1,8,2,6] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,7,1,6,2,4,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,7,2,1,4,6,8] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,4,7,1,6,8,2] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,4,7,2,1,8,6] => [1,3,4,7,8,6,2,5] => [7,2,3,8,6,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,4,7,1,2,8,6] => [1,3,4,7,8,6,2,5] => [7,2,3,8,6,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,2,7,5,1,8,4,6] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,7,5,2,1,8,4,6] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,7,2,4,1,6,3] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,8,4,1,7,6,5,2] => [1,3,4,2,8,5,7,6] => [4,2,3,6,8,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,2,5,8,1,7,3,6] => [1,4,8,6,7,3,5,2] => [8,6,2,7,4,5,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,8,2,4,1,6,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,2,5,6,1,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,8,1,5,3,6,4] => [1,7,6,3,8,4,2,5] => [7,4,6,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,1,8,3,6,5] => [1,7,6,3,4,2,5,8] => [6,4,5,7,3,2,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,2,8,5,7,1,4,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,3,5,4,1,6,2,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,6,8,7,3,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,6,1,3,2] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,7,3,5,8,1] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,8,3,5,6,2] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,2,7,3,4,1,5,6] => [1,8,6,2,3,7,5,4] => [4,5,8,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,6,3,5,8,2,4] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,4,2,8,6,5,7,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,6,2,1,3,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,2,5,8,6,1] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,7,4,2,5,1,6,3] => [1,8,3,4,2,7,6,5] => [5,3,4,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,6,2,1,3,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,1,5,6,7,8,3] => [1,4,5,6,7,8,3,2] => [8,7,2,3,4,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,3,5,2,4,6,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,2,4,7,6,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,1,3,2,4,7,6,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,3,2,5,4,6,8] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,1,4,7,6,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,2,7,5,4,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,3,1,2,4,7,6,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,1,3,2,4,6,8] => [1,7,6,4,3,2,5,8] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,7,2,5,4,6,8] => [1,3,7,6,4,2,5,8] => [6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,5,3,2,4,6,8] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,4,7,6,5,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,2,7,6,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,3,4,2,8,1,6] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,6,3,4,1,5,2] => [1,8,2,7,5,4,3,6] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[3,5,6,4,8,2,7,1] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,5,4,8,2,6,3] => [1,2,7,6,3,5,8,4] => [2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,5,4,8,1,3,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,8,7,2,3] => [1,2,5,8,3,6,7,4] => [2,5,8,3,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,2,5,8,4,6] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,5,8,2,4,3,1] => [1,7,3,5,2,6,4,8] => [5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,6,5,8,3,1,4,2] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,3,1,5,8,6,4] => [1,7,6,8,4,2,3,5] => [6,7,5,8,3,2,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,2,6,5,3,8,1,4] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,3,1,4,8,6,5] => [1,7,6,8,5,4,2,3] => [7,8,6,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,5,4,8,6,1] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[3,5,6,1,4,7,8,2] => [1,3,6,7,8,2,5,4] => [6,2,8,7,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,3,5,2,7,8,6] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,7,1,8,4,2,6] => [1,3,7,2,5,8,6,4] => [4,2,8,5,7,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,1,3,2,4,6,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,3,4,2,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,3,1,4,2,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,6,2,1,7,4,8,5] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,5,3,4,7,8,1] => [1,2,6,7,8,3,5,4] => [2,6,8,7,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,3,2,6,7,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,4,1,3,2,6,7,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,6,1,8,5,7] => [1,4,6,8,7,5,2,3] => [7,8,2,6,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,6,8,5,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,6,7,2,4,5,1,3] => [1,8,3,7,2,6,5,4] => [5,3,8,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,2,3,7,1] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,4,8,6,3,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,8,2,5,3,7,1] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,6,2,4,7,5,1,3] => [1,8,3,2,6,5,7,4] => [4,3,8,6,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,6,8,4,1,5,7,3] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,8,6,2,3,7,5,1] => [1,4,2,8,3,6,7,5] => [3,5,2,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,1,4,3,6,2,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,1,3,6,2,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,2,6,5,1,7,3,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,1,6,8,3,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,2,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,6,5,7,1,2] => [1,4,6,7,2,3,8,5] => [5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,6,4,2,5,8,7] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,1,3,8,7,6,4,2] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,8,7,1,4,2] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,3,7,1,6,4] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,5,8,7,1,4,2] => [1,3,5,7,4,8,2,6] => [7,2,5,3,8,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,7,4,8,2,6,3,1] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,6,8,3,1,7,4,2] => [1,5,2,6,7,4,3,8] => [3,7,6,2,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,1,7,2,6,4] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,6,3,1,4,2,5,8] => [1,7,5,4,2,6,3,8] => [5,7,4,3,6,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,2,7,8,5,3,1,6] => [1,4,8,6,3,7,2,5] => [7,5,2,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,1,7,5,2,4,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,2,1,8,3,5] => [1,7,3,4,2,6,8,5] => [5,3,4,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,5,7,6,4,2,1] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,2,4,6,3,1] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,8,2,7,5,3,6,4] => [1,2,8,4,7,6,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,7,4,1,5,2,6,3] => [1,8,3,4,2,7,6,5] => [5,3,4,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,7,5,2,6,3,1,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,7,6,5,8,2,4] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,2,5,7,6,4,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,6,3,5,2,8] => [1,7,2,4,6,5,3,8] => [3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,1,8,6,3,5,2] => [1,7,5,6,3,2,4,8] => [6,5,7,3,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,2,8,7,4,1] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,8,1,6,7,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,3,7,4,2,5,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,3,1,2,6,5,8] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,2,5,7,6,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,3,5,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,3,6,8,2,5] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,5,7,1,4,2] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,6,2,7,1,5,3] => [1,4,2,8,3,6,5,7] => [3,5,2,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,1,4,7,5,8,3,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,8,5,6,3,1] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,8,6,4,1,3] => [1,5,6,4,8,3,2,7] => [7,6,4,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,2,5,3,1,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,3,8,2,7,5,4] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,3,7,1,5,4,2] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,6,3,1,7,2] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,6,7,1,2,8,5,3] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,1,2,8,5,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,3,5,2,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,4,8,5,3,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,6,7,8,4,3,5] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,7,8,4,5,3,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,3,6,8,2,5] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,1,7,5,6,8,2,4] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,6,5,7,1,8,4] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,4,8,2,7,5,1] => [1,3,4,8,2,6,7,5] => [5,2,3,8,6,7,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,7,2,4,6,5,3,1] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,5,4,6,1,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,8,5,6,4,3] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,8,4,6,5,3] => [1,2,7,5,4,8,3,6] => [2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,4,1,6,2,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,6,4,3,7,1,8,5] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,2,4,3,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,8,1,6,5,4] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,4,8,7,1,5,3] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,1,3,8,2,6,5,4] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,6,5,8,2,7,3] => [1,4,5,8,3,6,2,7] => [7,5,2,3,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,3,7,4,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,4,7,6,3,5,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,2,6,8,3,7,1] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,3,2,5,7,6,1] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,3,8,5,6,1] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,5,4,2,3,7,1] => [1,6,3,5,2,8,4,7] => [5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,2,4,3,7,6,1] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,2,1,3,5,6,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,2,5,7,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,6,8,1,7,5,3] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,3,8,6,2,1,5] => [1,7,2,4,8,5,6,3] => [3,8,4,6,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,3,4,2,1,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,6,4,7,1,8,3] => [1,2,5,7,8,3,6,4] => [2,6,8,3,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,5,4,8,1,6,7,3] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,5,8,7,3,4] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,7,4,6,8,3] => [1,2,5,4,7,8,3,6] => [2,7,4,3,8,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,1,7,2,3,5,8,4] => [1,6,5,3,7,8,4,2] => [8,4,7,3,2,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,8,2,7,4,6,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,6,2,3,5,7,4] => [1,8,4,2,3,6,5,7] => [4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,7,2,4,5,3,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,1,6,2,3,5,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,1,3,7,6] => [1,8,6,3,4,5,2,7] => [7,4,5,6,3,8,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,5,2,6,7,8,4,1] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,5,1,6,7,3,8,2] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,2,6,8,1,4] => [1,5,6,8,4,2,7,3] => [6,8,5,2,3,7,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,3,1,4,5,7,2,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,7,5,4,1,6] => [1,8,6,4,7,2,3,5] => [6,7,4,8,3,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,6,1,5,2,4,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,7,5,4,2,6] => [1,8,6,4,7,2,3,5] => [6,7,4,8,3,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[3,4,8,2,7,6,5,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,8,5,7,6,3,2] => [1,4,5,7,3,8,2,6] => [7,5,2,3,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,7,4,6,5,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,7,4,3,1,5,6] => [1,8,6,2,3,7,5,4] => [4,5,8,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,1,5,7,6,4,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,8,7,5,4,3] => [1,6,5,7,4,8,3,2] => [8,7,5,3,2,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,1,8,2,7,5,4,3] => [1,6,5,7,4,2,3,8] => [6,7,5,3,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,8,7,2,6,4,3] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,8,1,3,7,6,2,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,1,4,8,7,6,3,2] => [1,5,7,3,4,8,2,6] => [7,4,5,2,8,3,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,8,1,3,7,6,5,2] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,8,6,3,2,1,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,2,4,3,1,8] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,7,1,3,2,8,6,4] => [1,5,2,7,6,8,4,3] => [3,8,7,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,1,3,2,4,6,7] => [1,8,7,6,4,3,2,5] => [7,6,5,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,3,2,4,8,6] => [1,7,8,6,4,3,2,5] => [7,6,5,8,4,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,1,6,4,2,3,5,7] => [1,8,7,5,2,3,6,4] => [5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,4,8,2,3,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,2,6,8,3,5] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,4,1,8,6,3] => [1,7,6,8,3,5,2,4] => [7,5,8,6,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,2,3,8,1] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,5,1,3,8,2] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,4,2,1,8,5,3] => [1,6,8,3,4,2,7,5] => [6,4,5,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,8,5,1,2,7] => [1,4,8,7,2,3,6,5] => [5,6,2,8,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,5,8,4,3,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,1,2,5,7,8,4,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,1,2,6,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,6,2,7,3,4,8,1] => [1,5,3,2,6,4,7,8] => [4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,5,1,4,8,2,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,2,5,3,7,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,8,6,4,7,2,3] => [1,5,4,6,7,2,3,8] => [6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,6,1,5,3,8,7] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,7,2,3,1,5,8,4] => [1,6,5,2,7,8,4,3] => [4,8,7,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,3,8,4,1,6] => [1,7,2,5,8,6,4,3] => [3,8,7,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,3,1,4,2,5,7] => [1,8,7,5,4,2,6,3] => [6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,3,8,6,5,2,1] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,4,6,5,1,2] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,6,5,8,3,1] => [1,4,6,8,2,3,7,5] => [5,6,2,8,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,1,7,8,3,6] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,4,1,3,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,4,8,2,3,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,5,1,4,7,8,2,6] => [1,3,2,5,7,4,6,8] => [3,2,6,4,7,5,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,7,3,2,6,8,1,5] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,3,4,6,8,1,2,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,6,3,4,7,1] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,3,5,4,7,2] => [1,6,4,3,2,8,5,7] => [5,4,3,7,2,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,5,8,6,3,1,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,1,5,4,7,3] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,7,6,2,8,3] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,2,4,8,5,7,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,2,5,4,8,1,6,3] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,5,1,8,3,6,4] => [1,2,7,6,3,5,8,4] => [2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,1,3,2,4,8,6] => [1,5,2,7,8,6,4,3] => [3,8,7,2,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,4,2,3,5,6] => [1,8,6,3,7,5,2,4] => [7,4,8,6,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,3,8,7,4,2] => [1,6,7,4,3,2,5,8] => [6,5,4,7,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,6,2,7,4,3,1,8] => [1,5,4,7,2,6,3,8] => [5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,2,7,4,1,3,5] => [1,8,5,4,7,3,2,6] => [7,6,4,3,8,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[3,4,5,1,7,6,8,2] => [1,3,5,7,8,2,4,6] => [6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,7,2,6,1,8,4,3] => [1,5,2,7,4,6,8,3] => [3,8,5,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,2,6,1,3,8,4] => [1,5,2,7,8,4,6,3] => [3,8,6,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,7,3,4,5,2,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,2,5,4,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,1,3,8,7,5,2] => [1,6,7,5,8,2,4,3] => [6,8,7,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,7,4,6,8,3,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,7,2,4,6,8,3,5] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,3,5,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,1,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,3,8,1,7,5] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,2,6,3,4,8,1] => [1,5,3,2,7,8,4,6] => [4,3,7,2,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,8,7,3,1,4] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,3,8,4,1,7,2,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,8,1,6,4,3,5] => [1,7,3,8,5,6,4,2] => [8,3,7,5,6,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,2,6,4,3,5,1,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,3,1,4,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,3,2,4,1,8,7] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,1,4,7,8,5,3,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,1,6,5,7,4,2] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,7,3,1,4,2] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,3,1,4,6,7,2] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,1,4,3,7,8,2,5] => [1,6,8,5,7,2,3,4] => [6,7,8,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,3,1,4,6,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,8,3,1,6,5,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,1,4,6,7,3] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,1,8,7,5,4,6,3] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,8,3,4,1,6,5,2] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,4,5,2,3,7,1,6] => [1,8,6,7,2,4,3,5] => [5,7,6,8,3,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,7,5,2,3,8,1,6] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,8,5,4,1,7,6,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,2,4,7,6,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,2,4,1,6,5,3] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,2,8,3,5,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,2,5,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,1,5,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,5,7,2,3,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,1,2,3,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,5,8,7,2,3,4] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,7,2,5,8,3,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,5,7,2,3,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,2,6,8,3,4] => [1,7,3,2,5,6,8,4] => [4,3,8,5,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,3,8,7,2,4,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,3,2,4,6,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,1,4,2,5,7,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,6,2,5,7,3,4] => [1,2,8,4,3,6,7,5] => [2,5,4,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,1,2,6,3,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,1,2,7,6,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,5,8,7,6,2,3,4] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,3,1,5,2,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,1,3,4,5,2,6] => [1,7,2,8,6,5,4,3] => [3,8,7,6,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,8,4,1,5,3,2] => [1,7,3,8,2,6,5,4] => [5,3,8,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,5,4,8,6,3,7,2] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,3,6,2,4,1] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,7,2,1,3,5,8] => [1,4,2,6,3,7,5,8] => [3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,4,7,1,3,8,5] => [1,6,3,4,7,8,5,2] => [8,3,4,7,2,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,7,3,6,1,2,8,5] => [1,4,6,2,7,8,5,3] => [4,8,2,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,2,3,1,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,7,8,2,3,6,1,4] => [1,5,3,8,4,2,7,6] => [6,3,5,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,7,1,2,5,6,3] => [1,4,2,8,3,7,6,5] => [3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,7,4,1,5,6,3] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,1,3,7,5,8,2,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,5,7,3,8,1] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,4,1,8,7,2,5,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,7,6,2,4,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,7,8,1,3,4] => [1,5,8,4,7,3,6,2] => [8,6,4,2,7,5,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,5,3,8,1,7,2,6] => [1,4,8,6,7,2,5,3] => [6,8,2,7,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,8,5,1,3,2] => [1,7,3,4,8,2,6,5] => [6,3,4,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,6,4,8,3,1,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,3,8,4,2,6,5,1] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,2,5,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,8,1,6,5,2] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,7,5,2,8,4,1] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,7,3,6,2,8,1] => [1,4,3,7,8,2,5,6] => [6,3,2,7,8,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,4,8,7,2,1,3,6] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,4,7,3,5,6,1] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,6,1,7,2,5,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,6,3,7,1,8,2] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,3,2,8,5,4,1,7] => [1,6,4,8,7,2,3,5] => [6,7,3,8,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,5,1,3,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,5,1,2,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,3,5,2,7,8] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[3,7,2,4,1,6,5,8] => [1,3,2,7,5,4,6,8] => [3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,6,1,3,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,4,1,3,7,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,2,5,4,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,1,6,5,3,7,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,5,1,6,4,7,3] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,1,4,5,3,2,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,8,6,3,7,5,4] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,3,2,8,5,1,4] => [1,7,2,6,5,8,4,3] => [3,8,7,5,4,2,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,2,6,8,7,4,1,3] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,5,7,2,6,1] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,7,2,8,5,6,1] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,5,2,8,1,6,7,4] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,6,7,5,1,2,4,8] => [1,3,7,4,5,2,6,8] => [6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,5,1,8,2,3,6] => [1,7,3,5,8,6,2,4] => [7,3,8,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,6,4,8,1,7,2] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,2,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,2,5,3,8,7,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,5,1,4,3,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,3,5,4,8,6,2] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,2,8,5,7,6,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,4,7,3,6,5,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,5,4,1,3,2,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,8,7,4,6,1,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,4,1,3,7,2] => [1,6,3,5,2,8,4,7] => [5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,7,3,5,2,1,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,8,6,4,2,7,1] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,7,3,2,4,8,5,1] => [1,6,8,2,7,5,4,3] => [4,8,7,6,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,2,8,6,4,5,1,3] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,7,8,6,4,1,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,3,7,4,2,5] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,7,6,4,2,5,3] => [1,8,3,7,5,4,6,2] => [8,3,6,5,7,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,5,6,3,8,2,4,7] => [1,2,5,8,7,4,3,6] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,7,2,4,6,3] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,8,1,5,4,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,2,1,5,8,4,3,6] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,5,4,8,3,2,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,4,3,8,2,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,5,6,8,2,3] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,2,3,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,6,2,3,4,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,5,7,2,3,4,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,6,4,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,3,7,6,4,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,2,3,7,6,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,2,3,8,6,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,2,8,6,4,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,8,4,6,1,7,3] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,8,6,1,7,4] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,2,5,8,1,7,4] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,8,1,7,6,5,3] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,5,4,6,1,8,3] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,7,4,1,3,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,4,1,3,8,2] => [1,6,3,7,8,2,5,4] => [6,3,8,7,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,2,5,7,8,3] => [1,4,2,6,7,8,3,5] => [3,7,2,8,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,1,6,5,7,8,3] => [1,2,4,6,7,8,3,5] => [2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,3,1,8,6,5,2] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,4,2,7,1,8,3] => [1,5,7,8,3,4,2,6] => [7,5,6,2,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,5,3,1,8,6,4] => [1,2,7,6,8,4,3,5] => [2,7,6,8,4,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,3,2,4,1,8,6,5] => [1,7,6,8,5,2,3,4] => [6,7,8,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,2,7,5,1,6] => [1,8,6,5,7,2,4,3] => [6,8,7,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,5,2,8,6,1,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,2,8,6,4,5,7,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,8,5,3,4,6,7,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,5,3,1,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,2,4,7,6,8,3,1] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,4,1,3,6,2] => [1,7,6,3,8,2,5,4] => [6,4,8,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,1,3,2,5,8] => [1,7,5,3,6,2,4,8] => [6,4,7,3,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,5,2,6,7,3,1,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,3,6,1,4,7] => [1,5,6,2,3,8,7,4] => [4,5,8,2,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,3,5,1,6,7,8,2] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,1,2,3,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,8,5,2,4,3] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,3,2,1,8,6,4,7] => [1,5,8,7,4,2,3,6] => [6,7,5,2,8,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,3,2,6,5,1] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,8,4,3,2,6,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,3,8,2,1,7,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,3,2,1,7,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,8,4,3,2,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,8,6,1,3,2,4,5] => [1,7,4,2,8,5,3,6] => [4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,3,8,2,6,7,1] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,4,2,3,5,1,8,7] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,2,3,6,1,4,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,8,6,4,7,2,5,1] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,8,6,4,5,7,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,2,5,7,3,1,6] => [1,4,5,7,2,8,6,3] => [5,8,2,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,7,8,2,1,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,5,1,3,6,7,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,2,7,4,5,1] => [1,3,6,4,2,8,5,7] => [5,2,4,7,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,6,2,8,1,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,3,6,7,1,5] => [1,8,5,6,7,2,4,3] => [6,8,7,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,8,4,5,1,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,6,2,1,8,7,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,4,5,1,6,3,8] => [1,7,3,4,5,2,6,8] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,6,3,2,7] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,7,5,3,6,4,2] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,7,4,1,6,2,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,4,1,6,3,2,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,7,4,2,6,5,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,5,6,7,2,3] => [1,4,5,6,7,2,3,8] => [6,7,2,3,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,6,2,1,3] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,1,4,7,2,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,6,8,2,7,1,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,7,4,8,2,1,6] => [1,5,8,6,2,3,7,4] => [5,6,8,2,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,1,6,5,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,1,3,4,7,8,2,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,5,4,8,3,7,6,1] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,7,2,4,3,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,5,4,2,3,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,2,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,6,2,4,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,2,7,8,4,5,3,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,4,3,6,5,1] => [1,7,5,3,8,2,4,6] => [6,4,7,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,8,4,3,7,1,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,4,7,3,2,6,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,4,6,8,7,1,5] => [1,3,4,6,7,2,5,8] => [6,2,3,7,4,5,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[5,3,2,6,8,4,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,8,7,6,4,1] => [1,5,7,4,8,2,3,6] => [6,7,4,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,1,8,4,6,3] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,8,6,7,1,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,5,8,6,7,2,3] => [1,4,8,3,5,6,7,2] => [8,4,2,5,6,7,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,4,5,8,6,7,2,1] => [1,3,5,6,7,2,4,8] => [6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,8,6,4,7,2,1] => [1,5,4,6,7,2,3,8] => [6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,1,5,7,8,3,2] => [1,6,8,2,4,5,7,3] => [4,8,5,6,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,7,3,2,8,5] => [1,6,2,4,7,8,5,3] => [3,8,4,7,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,7,2,3,8,5] => [1,6,3,4,7,8,5,2] => [8,3,4,7,2,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,1,3,5,8,2,4,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,3,5,8,1,4,7] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,7,1,8,4,5,3,2] => [1,6,5,4,8,2,7,3] => [6,8,4,3,2,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,2,3,4,7,1,5,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,7,6,1,4,2] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,7,6,5,1,2] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,6,1,5,8,3] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,6,7,3,8,2,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,5,8,3,2,4,6,1] => [1,7,6,4,3,8,2,5] => [7,5,4,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,6,5,3,2,8] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,1,7,6,3,2,8] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,6,5,1,4,3,2,7] => [1,8,7,2,6,3,5,4] => [4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,6,4,5,8,2,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,6,4,5,7,2,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,7,6,1,4,3,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,3,8,4,1,2,7] => [1,5,4,8,7,2,6,3] => [6,8,3,2,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,3,4,7,8,1,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,5,1,7,2,4,8,3] => [1,6,4,7,8,3,2,5] => [7,6,3,8,2,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,2,7,5,4,3,6] => [1,8,6,4,7,3,2,5] => [7,6,4,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,5,3,2,6,4] => [1,2,8,4,5,3,7,6] => [2,6,4,5,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,1,4,6,3,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,6,1,4,3,8,2] => [1,5,4,2,7,8,3,6] => [4,7,3,2,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,1,7,5,4,2,3] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,3,1,2,8,5,4] => [1,7,5,2,6,8,4,3] => [4,8,7,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,5,2,6,4,8,3] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,1,8,3,2,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,6,5,2,7,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,6,7,8,2,3] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,2,1,6,7,5,4,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,6,3,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,1,5,7,3,2] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,7,4,3,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,6,1,3,2,8] => [1,7,2,5,3,4,6,8] => [3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,6,5,1,2,7,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,4,3,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,4,2,6,3,8,1] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,8,6,2,5,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,3,5,1,6,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,2,4,6,3,7,5,1] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,2,5,1,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,7,4,6,8,3,5,2] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,1,2,5,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,2,4,6,3,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,7,8,1,6,4] => [1,5,8,4,7,6,2,3] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,2,7,1,4,3,5,6] => [1,8,6,3,7,5,4,2] => [8,4,7,6,3,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,3,8,1,6,5,4,2] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,8,2,6,5,4,1] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,5,1,7,8,2,6,4] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,4,7,8,2,1,6,3] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,7,1,5,4,2] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,4,7,1,5,3,2,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,6,1,3,8,7] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,1,2,4,8,5,3] => [1,6,8,3,2,7,5,4] => [5,4,8,7,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,3,1,8,6,2,5] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,7,2,8,6,1,5] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,2,7,3,8,6,4] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,2,7,3,5,8,4] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,8,3,5,7,4] => [1,6,5,3,2,4,8,7] => [5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,5,3,2,1,8,7,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,2,8,6,1,5] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,3,7,5,2,1,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,5,4,8,6,1,3] => [1,7,2,3,5,8,4,6] => [3,4,7,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,1,8,2,6,3] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,2,1,8,7,4,5] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,1,8,7,4,5] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,8,1,7,5,6,2] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,1,6,4,8,3,5,2] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,5,6,1,2,7,4,3] => [1,8,3,6,7,4,2,5] => [7,3,6,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,5,4,7,3,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,1,3,6,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,7,1,8,2,5,4,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,7,2,1,8,5,3] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,6,7,8,3,1] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,1,3,5,6,7,8,2] => [1,4,5,6,7,8,2,3] => [7,8,2,3,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,3,7,1,5] => [1,4,2,6,7,3,8,5] => [3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,8,6,2,5,1,7,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,8,6,2,1,7,3] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,8,6,1,2,7,3] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,2,3,5,4,1,6] => [1,7,2,8,6,4,3,5] => [3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,3,7,6,4,8,2] => [1,5,6,4,7,8,2,3] => [7,8,4,2,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,1,7,3,8,2] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,1,2,4,8,6] => [1,5,2,7,8,6,4,3] => [3,8,7,2,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,5,1,7,4,8] => [1,6,7,4,5,2,3,8] => [6,7,4,5,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,7,2,5,8,4] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,7,2,8,5,1,4,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,2,7,8,3,1,4,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,8,2,5,3,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,7,3,4,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,6,4,5,2,3] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,5,7,8,3,4,2,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,1,3,7,5,6,2] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,5,1,3,8,6,7,2] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,2,3,4,7,1,8,5] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,3,1,2,4] => [1,6,2,8,4,7,3,5] => [3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,4,2,6,8,7,3] => [1,5,6,8,3,4,2,7] => [7,5,6,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,4,7,1,8,5] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,3,6,1,2,4] => [1,5,6,2,7,3,8,4] => [4,6,8,2,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,8,6,2,4,3,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,3,7,1,2,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,2,4,8,6,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,3,8,1,2,4] => [1,5,8,4,3,6,2,7] => [7,5,4,2,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,8,3,1,2,4] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,2,3,5,8,6,4] => [1,2,7,6,8,4,3,5] => [2,7,6,8,4,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,8,3,7,5,1,6,4] => [1,2,8,4,7,6,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[7,3,2,5,6,1,8,4] => [1,7,8,4,5,6,2,3] => [7,8,4,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,7,8,2,4,3,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,7,6,8,2,3] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,4,5,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,3,5,1,6,8,4] => [1,2,7,8,4,5,3,6] => [2,7,5,6,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,5,2,7,4,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,5,3,4,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,5,6,8,3,4] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,4,5,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,3,2,8,4,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,2,4,3,5,7] => [1,2,6,3,8,7,5,4] => [2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,1,4,6,7,3,5] => [1,8,5,6,7,3,2,4] => [7,6,8,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,5,1,3,8,4] => [1,6,3,7,8,4,5,2] => [8,3,6,7,2,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,6,1,3,5,7,2,4] => [1,8,4,3,2,6,7,5] => [5,4,3,8,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,5,3,4,8,2,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,1,5,6,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,8,4,3,7,1,5,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,4,6,7,1,2,5] => [1,3,4,6,2,8,5,7] => [5,2,3,7,4,8,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,1,3,8,2,4,5,6] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,1,4,7,2,5,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,6,7,8,1,4] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,2,6,7,5,1,3,4] => [1,8,4,7,3,6,2,5] => [7,5,3,8,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,4,7,1,3,6] => [1,2,5,7,3,8,6,4] => [2,5,8,3,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,7,1,2,3,6] => [1,4,7,3,8,6,2,5] => [7,4,2,8,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,5,7,2,3,6] => [1,4,5,7,3,8,6,2] => [8,5,2,3,7,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,3,5,4,2,8,1,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,7,4,2,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,1,8,5,7,6,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,2,1,4,7,6,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,2,3,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,1,2,4,3,7,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,7,6,2,3,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,7,6,4,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,7,2,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,6,7,2,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,2,1,7,5,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,7,3,6,5,1] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,4,7,6,5,2,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,7,1,3,6,5,2] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,4,7,6,8,1,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,1,4,6,7,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,2,4,1,7,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,6,8,4,3,5,1] => [1,7,5,4,8,2,3,6] => [6,7,4,3,8,2,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,2,4,6,1,3,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,8,3,4,7,5,2,1] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,5,7,6,3,2] => [1,4,5,7,3,2,8,6] => [6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,1,6,8,3,2,5] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,2,8,1,7,3,6] => [1,4,8,6,7,3,2,5] => [7,6,2,8,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,2,6,7,1,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,5,6,2,8,4] => [1,7,8,4,5,6,2,3] => [7,8,4,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,8,4,6,3,2] => [1,7,3,5,4,8,2,6] => [7,3,5,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,4,3,2,8,5,6] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,1,4,2,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,3,5,2,4,6] => [1,7,4,3,8,6,2,5] => [7,4,3,8,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,2,5,8,1,7,3] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,8,5,6,2,1,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,3,1,5,6,2] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,8,2,3,1,7,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,1,8,3,5,6,4] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,6,2,8,4,1,5] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,8,6,3,5,1,2,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[4,1,2,6,8,3,7,5] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,3,8,6,2,7,1] => [1,5,6,2,4,8,3,7] => [4,7,5,2,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,4,7,8,2,3,5,1] => [1,6,3,7,5,2,4,8] => [6,3,7,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,2,3,8,5,1] => [1,7,5,3,6,8,2,4] => [7,4,8,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,6,2,3,8,5,1] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,2,5,8,3,1] => [1,7,3,4,2,6,8,5] => [5,3,4,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,6,8,5,7,3,1] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,6,8,5,7,1,3] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,6,8,5,1,3,7] => [1,2,4,8,7,3,6,5] => [2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,6,8,5,3,1,7] => [1,2,4,8,7,3,6,5] => [2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,1,7,8,5,3,2] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,2,1,7,6,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,3,8,1,7,6,2] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,8,2,6,5,4,1,3] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,7,2,1,6,5] => [1,4,7,6,2,8,5,3] => [5,8,2,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,1,7,6,5,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,2,5,3,7,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,8,6,2,7,3,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,2,4,6,3,7,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,6,2,3,7,4,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,2,8,6,3,4,7] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,6,8,2,7,4,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,3,8,2,7,4,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,3,2,8,4,6] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,3,6,8,4,5] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,2,3,5,8,1,7,4] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,4,8,1,6,7,3] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,6,4,5,7,3,1,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,5,6,3,4,7,1,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,3,7,5,6,8,4,2] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,3,6,7,4,5,8,2] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,5,6,3,4,2,7,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,6,3,4,7,2,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,7,5,6,3,8,4,2] => [1,2,7,4,6,8,3,5] => [2,7,4,8,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,7,5,2,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,7,2,5,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,3,7,4,6,2,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,6,3,7,4,2,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,6,3,4,8,2] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,1,7,6,2,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,3,5,8,2,1,7] => [1,4,5,8,7,2,6,3] => [6,8,2,3,7,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,2,1,8,6,3] => [1,7,6,8,3,5,2,4] => [7,5,8,6,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,7,3,1,2,8,6] => [1,4,3,7,8,6,2,5] => [7,3,2,8,6,4,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[8,6,2,3,1,7,5,4] => [1,8,4,3,2,6,7,5] => [5,4,3,8,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,5,2,3,6,1,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,2,7,3,5,4,1,8] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,6,5,3,4,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,2,6,5,4,1,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,1,7,8,5,6,4] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,8,2,5,3,1,4,7] => [1,6,2,8,7,4,5,3] => [3,8,6,7,2,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,8,6,2,3,1,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,8,2,1,6,7] => [1,4,8,7,6,2,5,3] => [6,8,2,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,8,4,1,7,6,2,5] => [1,3,4,2,8,5,7,6] => [4,2,3,6,8,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,8,2,5,4,3,6,1] => [1,7,6,3,2,8,4,5] => [5,4,7,8,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,7,8,2,6,1] => [1,4,7,6,2,5,8,3] => [5,8,2,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,3,6,8,4,5,2] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,8,2,7,3,5,1] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,8,4,6,1,3] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[3,7,5,6,2,1,4,8] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,5,4,2,1,6,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,7,3,6,4,1] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,7,3,8,4,2] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,6,1,4,3,2,5] => [1,7,2,8,5,4,3,6] => [3,7,6,5,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,6,4,3,2,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,1,7,8,6,5,3,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,3,7,2,1,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,7,5,8,3,6,4,1] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,8,2,6,3,1] => [1,7,3,4,8,2,5,6] => [6,3,4,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,1,6,5,2,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,4,5,1,8,3,6] => [1,7,3,4,5,2,6,8] => [6,3,4,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,2,8,5,6,4] => [1,7,6,5,8,4,2,3] => [7,8,6,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,2,3,8,6,7,1] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,7,4,8,5,3,2,1] => [1,6,3,4,8,2,7,5] => [6,3,4,8,2,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,6,4,7,8,1] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,4,1,7,2,6,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,6,4,8,7,5,2] => [1,3,6,7,5,8,2,4] => [7,2,8,5,3,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,6,2,8,7,1,3,4] => [1,5,7,3,2,6,4,8] => [5,4,7,2,6,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,8,4,2,7,1,6,5] => [1,3,4,2,8,5,7,6] => [4,2,3,6,8,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,2,7,8,4,1,3,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,7,8,4,1,2,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,5,1,3,7,8,6] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,4,2,7,8,6] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,1,3,7,8,5,2,6] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,1,8,5,4,2,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,1,3,2,7,8,6] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,1,3,2,4,7,8,6] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,7,8,5,4,1,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,1,2,6,7,3] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,8,6,2,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,3,5,8,4,7,1,2] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,3,8,5,2,6,7,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,1,7,8,4] => [1,6,7,8,4,5,2,3] => [7,8,5,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,1,6,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,5,2,3,6,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,2,5,8,6,7,1,3] => [1,4,8,3,5,6,7,2] => [8,4,2,5,6,7,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,1,7,4,5,6,2,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,7,2,4,3,5,6] => [1,8,6,3,7,5,4,2] => [8,4,7,6,3,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,1,6,5,2,7,8,3] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,7,2,8,3] => [1,5,7,8,3,2,4,6] => [6,5,7,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,3,2,6,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,7,2,4,3,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,6,3,5,4,2,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,5,7,6,4,1,3] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[5,6,7,4,3,1,8,2] => [1,5,3,7,8,2,6,4] => [6,3,8,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,8,2,5,4,7,3] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,2,6,3,7,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,4,3,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,8,5,6,3,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,8,2,6,5,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,7,6,3,8,2,4,5] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,3,8,7,5,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,4,8,6,5,3] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,2,8,7,5,4,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,6,5,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,1,4,6,5,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,8,1,7,5,2,3,6] => [1,4,7,3,2,8,6,5] => [5,4,2,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,3,5,6,2,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,7,1,5,2,6,3] => [1,4,2,8,3,7,6,5] => [3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,2,7,5,1,3,6] => [1,4,7,3,2,8,6,5] => [5,4,2,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,3,6,2,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,8,2,6,3,5,1] => [1,7,5,6,3,8,2,4] => [7,5,8,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,2,6,3,1,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,1,4,6,5,2] => [1,8,2,7,5,4,3,6] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,8,2,4,6,5,1,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,5,2,4,6,1,3] => [1,8,3,5,4,2,7,6] => [6,3,5,4,8,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,6,2,5,7,4,3,1] => [1,8,2,6,4,5,7,3] => [3,8,5,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,5,4,6,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,1,5,8,6,7] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,4,8,7,5,3,1,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,5,1,4,3,8,7] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,4,6,5,1,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,4,8,7,3,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,1,6,5,2,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,3,2,6,5,1,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,1,2,6,5,3,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,8,7,3,4,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,6,3,4,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,1,2,6,8,7,5] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,7,5,6,3,1,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,3,1,6,4] => [1,2,8,4,5,3,7,6] => [2,6,4,5,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,3,6,4,1] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,6,1,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,3,1,2,6,4] => [1,8,4,3,5,2,7,6] => [6,4,3,5,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,2,3,5,4,6,8] => [1,7,6,4,3,2,5,8] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,2,4,3,5,6,8] => [1,7,6,5,3,2,4,8] => [6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,6,1,5,2,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,3,2,4,5,7] => [1,8,7,5,2,6,4,3] => [5,8,7,4,6,3,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,8,1,3,2,6,7] => [1,5,3,8,7,6,2,4] => [7,3,8,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,8,3,5,7,2,4,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,7,6,8,2,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,8,5,3,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,3,7,6,8,2,5] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,6,5,7,1,4] => [1,3,2,8,4,6,7,5] => [3,2,5,8,6,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,8,2,7,5,4,3,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,1,7,3,2,4] => [1,5,7,2,8,4,3,6] => [4,7,6,2,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,1,3,8,6,5,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,1,7,5,4,3,6] => [1,8,6,4,7,3,2,5] => [7,6,4,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,6,5,4,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,7,8,6,3,1,4] => [1,5,6,3,7,2,4,8] => [6,4,7,2,3,5,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,1,8,6,7,3,2,5] => [1,4,6,3,8,5,7,2] => [8,4,2,6,3,7,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,8,7,5,6,2,1,3] => [1,4,5,6,2,8,3,7] => [5,7,2,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,7,3,6,5,2] => [1,4,7,5,3,8,2,6] => [7,5,2,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,8,4,7,6,5,2] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,8,4,3,7,6,2] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,1,7,2,5,6,4,3] => [1,8,3,7,4,2,5,6] => [6,3,5,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,5,4,8,6,3] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,6,3,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,5,6,2,7,3] => [1,8,3,4,5,6,2,7] => [7,3,4,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,1,6,5,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,3,8,4,6,5] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,7,1,4,5,2,6] => [1,3,7,2,8,6,5,4] => [4,2,8,7,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,5,7,2,6,3,1] => [1,4,7,3,5,2,8,6] => [6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,7,2,4,1,5,6] => [1,8,6,2,3,7,5,4] => [4,5,8,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,3,4,6,2,1,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,5,1,4,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,1,6,4,2,7] => [1,8,7,2,5,6,4,3] => [4,8,7,5,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,2,6,3,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,6,4,2,5,3,7] => [1,2,8,7,3,6,5,4] => [2,5,8,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,6,2,4,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,1,2,4,7,6] => [1,8,6,4,2,5,3,7] => [5,7,4,6,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,2,1,6,5,3,4,7] => [1,8,7,4,6,3,2,5] => [7,6,4,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,4,1,2,3,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,6,3,2,7,4,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,7,3,6,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,6,8,3,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,8,1,7,4,5] => [1,2,3,6,7,4,8,5] => [2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,3,1,6,5,7,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,5,4,2,7,3] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,5,4,2,8,7] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,3,2,5,6,4] => [1,2,8,4,3,7,6,5] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,1,5,8,2,3,6,4] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,8,1,3,7,2] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[3,5,2,1,4,6,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,3,8,7,5,4,6,2] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,5,7,3,2,8,6] => [1,4,7,8,6,2,3,5] => [6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,1,6,2,8,5,4] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,8,2,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,3,4,5,6,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,5,6,2,7,4] => [1,2,8,4,5,6,3,7] => [2,7,4,5,6,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,5,1,6,8,7,3] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,8,5,2,6,3,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,6,2,4,8,1,5,3] => [1,7,5,8,3,2,6,4] => [6,5,8,3,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,1,6,4,2] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,8,7,3,1,6,4,2] => [1,5,2,8,3,7,4,6] => [3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,1,8,6,5,3,2] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,8,1,7,6,3] => [1,5,2,4,8,3,6,7] => [3,6,4,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,4,7,1,6,3,2] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,3,1,7,6,2] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,1,4,7,2,3] => [1,8,3,6,7,2,5,4] => [6,3,8,7,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,6,8,4,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,8,5,7,4,2,1,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,7,5,3,6,4,8,1] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,8,6,3,4,1] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,6,3,8,4,1] => [1,2,7,4,6,8,3,5] => [2,7,4,8,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,8,3,1,5,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,2,7,4,1,3] => [1,5,7,2,8,3,6,4] => [4,6,8,2,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,7,6,2,8,5,1,3] => [1,4,2,7,3,6,5,8] => [3,5,2,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,8,7,3,1,2] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,3,1,7,2,6,4,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,1,6,2,4,3] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,4,8,2,7,5] => [1,6,2,3,4,5,8,7] => [3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,5,6,1,7,2,4,3] => [1,8,3,6,2,5,7,4] => [5,3,8,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,1,3,8,4,2] => [1,5,3,6,8,2,7,4] => [6,3,8,2,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,1,4,2,8,5,3] => [1,6,8,3,2,7,5,4] => [5,4,8,7,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,4,8,3,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,5,1,3,8,6,2] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,4,2,5,7,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,5,7,8,3,6,2,4] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,7,8,2,4,3,6] => [1,2,5,3,7,4,8,6] => [2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,4,7,3,2,1,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,6,3,2,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,8,5,3,2,1,7] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,3,8,4,2,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,3,8,7,2,4,5,1] => [1,6,4,7,5,2,3,8] => [6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,1,3,4,8,5,6] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,8,3,4,5,2,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,5,6,3,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,5,8,2,6,1,4] => [1,7,2,3,5,4,8,6] => [3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,4,8,2,5,1,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,2,5,8,4,3,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,4,6,2,3,1] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,4,6,5,1,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,4,8,1,5,7,3,2] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,3,5,2,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,8,5,6,3,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,8,5,6,3,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,8,6,4,7,2,1] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,3,8,5,1,7,4] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,3,4,7,6,1,2,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,3,1,7,2,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,8,7,3,2,4] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,6,8,3,2,5] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,7,6,3,4,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,6,5,3,4,1] => [1,7,4,6,3,8,2,5] => [7,5,3,8,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,1,8,6,4,3,2] => [1,7,3,2,5,6,4,8] => [4,3,7,5,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,2,7,4,3] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,5,2,6,4,3,1,7] => [1,8,7,2,5,4,6,3] => [4,8,6,5,7,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,5,2,6,1,4,7,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,8,1,4,6,3] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,1,8,5,2,4,3] => [1,6,2,7,4,8,3,5] => [3,7,5,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,8,5,3,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,1,7,3,2,6,4,5] => [1,8,5,2,3,7,4,6] => [4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,5,2,4,1,8,3] => [1,7,8,3,5,4,2,6] => [7,4,6,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,2,7,3,4,5] => [1,8,5,7,4,2,6,3] => [6,8,5,3,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,6,4,8,7,5,1] => [1,3,6,7,5,8,2,4] => [7,2,8,5,3,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,1,8,6,5,3,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,6,4,8,7,2,5] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,3,6,8,7,1,5] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,4,5,7,6,1] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,8,5,7,1,3,6] => [1,4,5,7,3,8,6,2] => [8,5,2,3,7,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,6,1,4,3,2,5,8] => [1,7,5,3,2,6,4,8] => [5,4,7,3,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,3,5,6,2,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,3,5,6,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,6,8,1,5,3,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,1,5,3,7,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,2,3,6,7,1] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,5,2,8,6,7,1] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,2,5,4,7,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,4,1,8,5,2,7,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,4,8,5,2,1] => [1,3,6,5,8,2,7,4] => [6,2,8,4,3,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,3,5,8,4,6,7,1] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,2,8,4,6,7,1] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,4,5,8,2,6,7,1] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,4,8,2,6,7,1] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,5,4,8,3,6,7,1] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,3,2,6,7,1] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,8,3,2,5,1] => [1,7,5,3,6,2,4,8] => [6,4,7,3,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,6,3,2,8,4] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,1,4,3,8,6] => [1,7,8,6,3,2,5,4] => [6,5,8,7,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,8,3,1,2,5] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,2,5,1,3,7,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,3,8,2,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,7,5,4,8,3,1,6] => [1,2,7,3,5,8,6,4] => [2,4,8,5,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,6,2,8,4,3] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,8,5,6,2,3,1] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,4,7,2,5,8,3] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,7,8,3,5,4,2,1] => [1,6,4,3,8,2,7,5] => [6,4,3,8,2,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,4,3,7,5,8,1] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,7,2,4,1,6,3] => [1,8,3,7,6,2,5,4] => [6,3,8,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,8,2,1,5,6,3] => [1,7,6,5,2,4,3,8] => [5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,6,7,8,5,1,4] => [1,2,3,6,5,8,4,7] => [2,3,7,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,7,4,1,6,8,2,3] => [1,5,6,8,3,4,2,7] => [7,5,6,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,4,8,6,1,2,5] => [1,3,4,8,5,6,2,7] => [7,2,3,5,6,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[5,8,1,6,7,4,2,3] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,4,6,1,3,5] => [1,7,3,8,5,6,2,4] => [7,3,8,5,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,4,6,2,3,5] => [1,2,7,3,8,5,6,4] => [2,4,8,6,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,1,8,4,6,2,3,5] => [1,7,3,8,5,6,2,4] => [7,3,8,5,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,8,5,3,1,6] => [1,4,8,6,3,2,7,5] => [6,5,2,8,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,8,3,4,7,2,5] => [1,6,7,2,3,8,5,4] => [4,5,8,7,2,3,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,8,1,3,5,4,2,6] => [1,7,2,8,6,4,3,5] => [3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,1,6,8,3,5,2] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,5,6,3,1,7,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,6,4,2,3,7,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,3,6,8,4,2,1] => [1,5,8,2,7,3,4,6] => [4,6,7,2,8,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,8,7,3,2,5,4,6] => [1,2,8,6,5,3,7,4] => [2,6,8,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,4,8,6,3,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,2,4,7,3,8,6] => [1,2,5,7,8,6,3,4] => [2,7,8,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,5,7,4,1,2] => [1,8,2,6,4,5,7,3] => [3,8,5,6,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,1,4,7,6] => [1,8,6,4,2,5,3,7] => [5,7,4,6,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,2,7,6,8,4,3,5] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,3,2,7,8,4,6] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,8,6,2,3,4,1] => [1,7,4,6,3,8,2,5] => [7,5,3,8,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,7,3,6,8,5,2] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,7,6,8,4,5,3] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,4,3,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,2,6,4,1,8] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,2,6,1,7,4] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,5,3,4,1,8] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,4,5,3,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,2,8,1,7,5] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,7,6,1,4,3,5,2] => [1,8,2,7,5,4,3,6] => [3,7,6,5,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,7,6,1,5,4,2,3] => [1,8,3,6,4,2,7,5] => [6,3,5,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,5,4,2,1,6,7] => [1,8,7,6,2,3,5,4] => [5,6,8,7,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,7,1,5,2,4] => [1,8,4,7,2,6,5,3] => [5,8,3,7,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,6,1,2,5,4,3] => [1,8,3,6,5,2,7,4] => [6,3,8,5,4,7,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,7,6,1,4,2,5,3] => [1,8,3,6,2,7,5,4] => [5,3,8,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,5,8,6,1,3,2] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,8,4,1,2] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,5,1,3,4,2,6] => [1,7,2,8,6,4,3,5] => [3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,5,6,4,8,1,2] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,5,8,4,2,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,8,5,3,6,2,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,1,5,6,3,4,2,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,4,1,2,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,7,8,1,2,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,3,5,1,2,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,7,1,2,6,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,4,8,3,5,6,1,2] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,3,5,6,1,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,8,2,5,6,1,3] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,8,5,2,7,3] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,8,1,6,7,2] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,8,1,5,6,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,4,8,1,2,6,7,3] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,8,1,7,4,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,5,3,8,2,4,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,5,4,6,1,7,8,2] => [1,3,4,6,7,8,2,5] => [7,2,3,8,4,5,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,1,5,4,6,3,7,2] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,5,6,4,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,1,7,4,3,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,8,6,5,4,3] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,6,1,8,5,4,2] => [1,3,6,5,8,2,7,4] => [6,2,8,4,3,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[2,7,8,3,1,4,5,6] => [1,2,7,5,3,8,6,4] => [2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,5,3,2,6,7,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,5,6,3,2,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,6,7,3,2,8,4] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,8,6,3,5,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,2,7,8,4,3,5,6] => [1,2,3,7,5,4,8,6] => [2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,7,8,3,4,2,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,4,2,3,5,6] => [1,2,7,5,3,8,6,4] => [2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,3,7,8,5,4,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,4,5,2,3,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,8,3,4,5,2,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,4,5,6,3,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,8,2,1,3,7,6,4] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,1,8,7,5,3,4,2] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,6,8,4,1] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[3,5,2,4,7,6,8,1] => [1,3,2,5,7,8,4,6] => [3,2,7,4,8,5,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,3,2,6,4,7,8,1] => [1,5,4,6,7,8,2,3] => [7,8,3,2,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,2,7,6,4,8,1] => [1,5,6,4,7,8,2,3] => [7,8,4,2,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,4,8,6,1] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,3,5,1,6,4,7,2] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,5,6,1,3,7,2] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,4,1,8,2,5,3] => [1,7,5,8,3,4,2,6] => [7,5,6,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,6,7,4,3,5] => [1,8,5,7,3,2,4,6] => [6,5,7,3,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,2,6,8,3,4] => [1,5,6,8,4,2,7,3] => [6,8,5,2,3,7,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,8,4,3,1,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,3,1,2,5,8,4,6] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,7,6,3,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,5,6,7,3,1] => [1,8,2,4,5,6,7,3] => [3,8,4,5,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,3,7,8,2] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,3,6,7,8,2] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,1,7,6,3,4,8,2] => [1,5,3,7,8,2,4,6] => [6,3,7,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,5,4,8,2,3] => [1,6,8,3,7,2,4,5] => [6,4,7,8,2,5,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,5,8,2,4,7,6,3] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[3,8,6,5,7,2,4,1] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,1,4,7,3,5,2] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,2,7,4,5,3] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,6,8,3,1,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,7,8,1,3,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,4,7,2,6,8,5,3] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,7,6,5,1,4,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,5,7,1,4,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,6,8,5,2,4] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,1,5,8,7,3] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,8,5,7,6,4,2] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,1,8,7,4,6,3,2] => [1,5,4,7,3,8,2,6] => [7,5,3,2,8,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,8,7,5,1,3,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,6,2,8,7,4,1] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,1,3,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,2,6,8,1,4,3,5] => [1,7,3,6,4,8,5,2] => [8,3,5,7,4,2,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,6,5,7,3,8,4,1] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,8,5,3,2,4] => [1,6,3,7,2,4,8,5] => [5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,8,3,1,5,7,6,2] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,2,7,1,6,4] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,4,5,2,7,1,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,2,6,3,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,7,1,5,2,6,8,4] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,5,2,7,1,4,8] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,3,5,2,7,1,6,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,1,8,4,6,3,5,2] => [1,7,5,6,3,8,2,4] => [7,5,8,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,4,7,1,5,2] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,7,6,5,8,1,4] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,6,2,5,4,1,8] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,4,7,3,6,5,2,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,2,1,4,8,6,3,7] => [1,5,8,7,3,2,4,6] => [6,5,7,2,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,2,6,3,8,4,1,5] => [1,7,2,3,6,4,5,8] => [3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,2,4,3,8,5,1,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,3,1,7,5,8] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,2,4,3,1,6,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,3,6,4,2,7] => [1,8,7,2,5,6,4,3] => [4,8,7,5,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,3,6,5,2,7] => [1,8,7,2,4,3,5,6] => [4,6,5,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,3,7,5,2,6] => [1,8,6,5,7,2,4,3] => [6,8,7,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,1,3,2,5,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,5,2,4,8,1,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,8,1,4,3,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,2,3,7,5,8,4,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,3,8,5,6,2] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,1,8,5,6,2,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,2,8,5,4,6,3,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,2,8,4,6,3,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,5,1,4,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,8,4,1,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,3,7,1,6,5] => [1,8,5,7,6,2,4,3] => [6,8,7,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,5,6,2,7,4,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,2,4,6,7,1,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,3,2,8,1,6,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,4,7,8,2,3,6,1] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,4,5,2,8,1] => [1,3,7,8,2,6,4,5] => [5,2,7,8,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,7,4,6,2,8,1] => [1,3,7,8,2,5,6,4] => [5,2,8,6,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,7,6,2,4,8,1] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,1,2,6,4,5,7,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,4,5,8,2,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,7,4,5,8,3,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,7,3,2,5,8,1,4] => [1,6,8,4,2,7,3,5] => [5,7,4,8,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,8,4,5,3,7,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,7,2,1,3,6,8,4] => [1,5,3,2,7,8,4,6] => [4,3,7,2,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,8,5,1,4,3] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,4,5,7,3,8,2] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,3,1,6,8,2,5,4] => [1,7,5,8,4,6,2,3] => [7,8,5,3,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,2,1,5,4,7] => [1,8,7,4,2,6,5,3] => [5,8,4,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,4,1,7,6] => [1,8,6,2,5,4,3,7] => [4,7,6,5,3,8,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,5,1,4,6,3,2,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,6,2,4,1,5,8,3] => [1,7,8,3,2,6,5,4] => [5,4,8,7,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,1,7,6,3,4] => [1,8,4,2,3,5,7,6] => [4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,4,1,3,2,8,5] => [1,7,8,5,3,4,2,6] => [7,5,6,4,8,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,2,8,5,1,3,6,4] => [1,7,6,3,8,4,5,2] => [8,4,6,7,3,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,1,8,2,5,6,4,3] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,7,4,2,1,5,6,3] => [1,8,3,4,2,7,6,5] => [5,3,4,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,5,8,3,4,2,7] => [1,6,4,8,7,2,3,5] => [6,7,3,8,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,8,1,2,6,5,4] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,3,4,6,1,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,2,5,3,1,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,1,6,3,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,8,4,3,2,6,1] => [1,5,3,8,2,7,6,4] => [5,3,8,2,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,7,1,3,2,8,5,4] => [1,6,8,4,3,2,7,5] => [6,5,4,8,2,7,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,3,6,8,7,2,5,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,1,4,2,3,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,8,4,3,1,5,2] => [1,7,5,3,8,2,6,4] => [6,4,8,3,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,7,6,5,3,2,4,8] => [1,2,7,4,5,3,6,8] => [2,6,4,5,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,1,5,8,3,2] => [1,4,2,7,3,6,8,5] => [3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,7,3,8,2,1,6] => [1,5,8,6,2,4,3,7] => [5,7,6,2,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,7,2,6,1,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,2,4,6,3,7] => [1,8,7,3,5,4,2,6] => [7,4,6,5,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,5,1,2,4,6,7,3] => [1,8,3,2,5,4,6,7] => [4,3,6,5,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,5,6,4,2,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,6,8,1,5,4,3,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,2,1,7,6,3,8,4] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,5,8,1,3,7,2,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,2,6,8,3,5,1] => [1,4,6,3,2,7,5,8] => [5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,3,8,5,6,2,1] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,4,2,1,8,7,3,5] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,7,3,2,5,1,6,8] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,5,6,2,7,3,1,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,2,4,1,3,7,6] => [1,8,6,3,2,5,4,7] => [5,4,7,6,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,4,3,6,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,4,3,7,6,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,7,1,5,4,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,5,7,2,6,3,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,3,6,4,2,5] => [1,7,2,8,5,6,4,3] => [3,8,7,5,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,3,2,8,1,6] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,6,8,2,3,1,7] => [1,5,2,4,8,7,3,6] => [3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,8,5,1,2,3,7] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,7,8,2,1,3,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,2,8,5,7,1] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,4,8,3,7,2,1,6] => [1,5,7,2,4,3,8,6] => [4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,6,5,8,2,7,4] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,4,8,3,2,7,1,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,2,5,3,8,4,1] => [1,6,8,2,7,4,5,3] => [4,8,6,7,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,8,1,2,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,7,3,4,2,1] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,6,8,4,7,3,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,5,8,4,7,2,6] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,8,7,5,1,6,4] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,7,2,4,1,3,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,3,8,5,1,7,4,2] => [1,6,7,4,5,2,3,8] => [6,7,4,5,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,3,5,2,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,8,2,7,6,4,1,5] => [1,3,2,8,5,6,4,7] => [3,2,7,5,6,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,3,8,6,2,7,1,5] => [1,4,6,7,2,3,8,5] => [5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,2,4,6,1,3] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,1,4,6,5,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,2,6,5,8,3] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,1,6,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,3,2,5,4,6] => [1,2,7,4,3,8,6,5] => [2,5,4,8,7,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,3,5,4,6,2] => [1,7,6,4,3,2,8,5] => [6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,7,8,5,2,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,8,5,4,2,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,8,2,5,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,8,5,4,6] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,4,3,2,5,7,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,2,1,6,8,7,4,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,2,3,7,5,4,6,8] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,5,4,2,3,6,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,2,4,8,6,7,5] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,1,2,5,8,7,4,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,1,6,8,5,3,2] => [1,4,6,5,8,2,7,3] => [6,8,2,4,3,7,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,6,4,2,7,8,3,1] => [1,5,7,3,4,2,6,8] => [6,4,5,2,7,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,5,2,3,7,4,1,8] => [1,6,4,3,2,5,7,8] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,7,6,4,8,3,1,2] => [1,5,8,2,7,3,6,4] => [4,6,8,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,4,7,5,2,8,6] => [1,3,4,7,8,6,2,5] => [7,2,3,8,6,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[4,3,5,1,8,7,2,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,6,1,8,4,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,2,4,5,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,7,4,5,3,2,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,6,4,7,3,5,2,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,5,6,1,4,3,7,2] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,2,7,5,8,1,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,7,8,1,5,4] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,2,7,6,4,1,5,3] => [1,8,3,7,5,4,6,2] => [8,3,6,5,7,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,7,4,3,8,5,1,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,2,6,3,4,1,7,5] => [1,8,5,4,3,6,2,7] => [7,5,4,3,6,8,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,2,1,7,4,6,3,5] => [1,8,5,4,7,3,2,6] => [7,6,4,3,8,5,2,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,2,3,6,8,4,7,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,4,7,8,5,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,2,3,7,8,1,4,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,3,2,5,8,1,6] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,4,2,3,5,8] => [1,2,7,5,3,6,4,8] => [2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,2,5,8,6,4,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[5,7,2,4,3,6,8,1] => [1,5,3,2,7,8,4,6] => [4,3,7,2,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,6,1,7,4,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,4,8,6,1,7,2] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[7,5,2,3,8,4,6,1] => [1,7,6,4,3,2,5,8] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,1,4,8,3,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,4,6,5,1,8,2,3] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,1,3,2,6,8,4,5] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,5,2,8,1,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[6,1,3,8,4,2,7,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,8,6,2,7,3] => [1,5,6,2,4,8,3,7] => [4,7,5,2,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,4,6,8,1,3,2,7] => [1,5,2,4,8,7,3,6] => [3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,1,5,2,3,8,7,6] => [1,4,2,3,5,6,8,7] => [3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,6,2,8,4,3,1] => [1,7,3,6,4,2,5,8] => [6,3,5,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,8,5,3,2,1] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,2,4,6,5,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,6,5,3,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,6,8,7,4,3,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,8,7,5,3,2,6] => [1,2,4,7,3,8,6,5] => [2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,8,7,6,2,4,3] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,2,4,3,6,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,3,2,7,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,3,7,5,4,2,8,1] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,7,1,4,3,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,1,6,8,3,5] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,6,4,7,1,3] => [1,5,4,6,7,2,3,8] => [6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,3,4,7,2,8,5] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,7,2,5,3,1,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,2,1,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,1,4,7,5,2,3] => [1,8,3,2,6,5,7,4] => [4,3,8,6,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,7,5,4,2,8,3] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,1,3,7,4,2] => [1,8,2,6,7,4,3,5] => [3,7,6,8,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[2,8,6,4,7,3,5,1] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,1,4,6,5,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,2,4,7,8,1,3] => [1,6,8,3,2,5,7,4] => [5,4,8,6,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,5,4,3,1,2] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,4,3,6,8,2] => [1,5,3,7,8,2,4,6] => [6,3,7,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,8,5,2,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,1,2,4,7,8,6,3] => [1,5,7,6,8,3,2,4] => [7,6,8,2,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,8,6,2,3,4] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,3,6,4,5,8,2] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,1,6,2,7,3,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,1,6,2,5,3,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,7,5,2,3,4] => [1,8,4,7,3,6,2,5] => [7,5,3,8,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,7,4,2,3,5,8] => [1,6,3,7,5,2,4,8] => [6,3,7,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,1,3,6,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,7,8,1,3,2,6] => [1,5,2,4,8,6,3,7] => [3,7,4,2,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,1,6,3,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,7,1,6,5,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,6,5,7,1,8,4,3] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,1,3,6,2] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,1,6,3,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,7,1,6,8,3,5] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,1,2,5,3,6,7] => [1,8,7,6,3,2,4,5] => [6,5,7,8,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,4,2,6,3] => [1,8,3,5,4,2,7,6] => [6,3,5,4,8,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,3,7,1,5,2,6,8] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,5,1,6,4,2,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,4,3,1,7,2,5,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,6,4,1,7,3,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[6,3,2,7,4,5,1,8] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,2,4,1,3,6,8,5] => [1,7,8,5,3,4,2,6] => [7,5,6,4,8,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,3,2,5,7,1,4,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,2,5,7,4,8] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,5,4,1,6,3,7,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,3,7,2,4,8] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,8,3,6,2,7,4] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,1,4,5,2,3] => [1,6,5,4,2,8,3,7] => [5,7,4,3,2,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,2,6,4,7,3,8,5] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,5,8,1,6,3] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,5,8,6,2,1,3,7] => [1,4,6,2,5,3,8,7] => [4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,7,5,8,2,1,3] => [1,6,2,4,5,8,3,7] => [3,7,4,5,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,1,7,8,4,5] => [1,6,8,5,7,4,2,3] => [7,8,6,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,5,1,8,6,7,3] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,3,5,4,7,1] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,3,5,1,6,4,8,2] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,6,1,3,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,4,6,2,5,3,7,1] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,3,7,5,4,8,1] => [1,2,6,4,7,8,3,5] => [2,7,4,8,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,1,3,8,6,2] => [1,5,3,7,6,8,2,4] => [7,3,8,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,3,4,2,5,7,8] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,5,6,3,2,4,7,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,5,1,3,4,2,7,8] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,4,3,2,6,1,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,2,1,6,3,8] => [1,5,2,7,3,4,6,8] => [3,5,6,2,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,6,3,5,2,1] => [1,7,2,4,6,5,3,8] => [3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,1,3,6,8,2,5,4] => [1,7,5,8,4,6,2,3] => [7,8,5,3,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,5,8,2,4,1] => [1,3,7,4,5,8,2,6] => [7,2,4,5,8,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,7,4,5,2,8,6,3] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,3,4,2,5,8] => [1,7,5,4,3,2,6,8] => [6,5,4,3,7,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,1,2,4,5,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,1,5,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,8,5,4,1,3,2] => [1,7,3,8,2,6,4,5] => [5,3,7,8,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,4,5,3,2,8] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,6,4,3,2,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,6,7,4,3,1] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,6,4,5,2,3,7] => [1,8,7,3,6,2,4,5] => [6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,6,4,5,2,7,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,7,2,3,5,1] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,1,2,3,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,6,7,4,2,5,1,3] => [1,8,3,7,2,6,5,4] => [5,3,8,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,1,4,5,2,3] => [1,8,3,7,2,6,5,4] => [5,3,8,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,5,2,7,3,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,4,2,1,5,3] => [1,8,3,7,5,2,6,4] => [6,3,8,5,7,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,4,2,5,7,3,1] => [1,8,2,6,7,3,4,5] => [3,6,7,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,4,6,5,2,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,1,2,8,6,3] => [1,7,6,8,3,5,2,4] => [7,5,8,6,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,2,8,4,7,1,6] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[6,4,8,3,7,2,1,5] => [1,6,2,4,3,8,5,7] => [3,5,4,7,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,6,2,8,7,4,1,5] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,3,2,5,6,8,1] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,1,3,2,6] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,5,4,2,6,1,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,5,1,8,6,4] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,1,2,8,7,4,5] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,8,1,5,2,7] => [1,4,8,7,2,3,6,5] => [5,6,2,8,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,7,4,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,7,4,5,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,3,2,4,7,5] => [1,2,6,4,3,8,5,7] => [2,5,4,7,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,1,7,2,4,3,6] => [1,8,6,4,7,3,2,5] => [7,6,4,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,8,7,6,4,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,7,6,4,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,7,2,5,4,8] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,6,2,8,4,1,3,7] => [1,5,4,8,7,3,2,6] => [7,6,3,2,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,7,8,3,2,6,1] => [1,5,3,7,6,2,4,8] => [6,3,7,2,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,4,8,5,7,1,2,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,6,8,3,5,4,2,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,3,2,4,6,8,7] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,8,7,6,3,2,4] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,6,3,2,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,2,4,6,3,8] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,7,4,2,5,3,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,3,2,4,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,5,2,8,7,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,1,8,3,4,7,5] => [1,2,6,4,8,5,3,7] => [2,7,4,6,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,4,8,2,3,6] => [1,5,8,6,2,7,3,4] => [5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,5,7,1,4,3,8,2] => [1,6,3,7,8,2,5,4] => [6,3,8,7,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,2,8,5,7,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,4,8,5,7,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,1,4,2,6,5,8] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,8,2,6,3,7] => [1,5,2,4,8,7,3,6] => [3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,1,5,2,6,3,8] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,4,2,7,3,8] => [1,6,7,3,2,5,4,8] => [5,4,7,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,3,4,5,2,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,6,8,7,3,4,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,4,5,1,7,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,3,1,4,5,7,6] => [1,2,8,6,5,4,3,7] => [2,7,6,5,4,8,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[6,3,4,2,7,8,5,1] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,7,4,5,1,6,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,8,1,3,5,4] => [1,6,3,7,5,2,4,8] => [6,3,7,5,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,7,6,5,4,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,7,4,5,3,1,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,8,7,4,5,2,3] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,6,8,7,2,5,3,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,5,8,6,3,7] => [1,2,3,4,5,8,7,6] => [2,3,4,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,6,4,7,2,3,8] => [1,2,5,7,3,6,4,8] => [2,5,7,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,2,5,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,4,7,2,3,8] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,8,2,3,6,7,4] => [1,2,5,3,8,4,6,7] => [2,4,6,3,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,8,4,2,3,6,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,5,7,6,2,4,3,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,7,4,5,6,1] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,5,2,1,6,8,3,4] => [1,7,3,2,5,6,8,4] => [4,3,8,5,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,6,1,5,4,8,2,3] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,1,5,3,6,4,8,2] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,3,4,7,1,5] => [1,6,7,2,8,5,4,3] => [4,8,7,6,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,1,6,5,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,4,8,5,7,2,1,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,4,8,5,7,2,1] => [1,3,4,8,2,6,7,5] => [5,2,3,8,6,7,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,1,3,8,7,2,4,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,3,8,7,2,1,4] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,1,6,5,8,7,2,4] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,8,5,3,4,7,6,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,4,7,5,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,8,3,1,7,2] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,2,8,5,3,7,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,5,1,2,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,7,6,5,3,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,8,7,5,3,4] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,3,8,7,4,5,2,1] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,3,7,5,4,8,6,2] => [1,2,3,7,6,8,4,5] => [2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,2,1,4,3,6,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,8,7,2,5,4,1] => [1,6,5,2,3,8,4,7] => [4,5,7,3,2,8,6,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,8,4,1,7,5,2,3] => [1,6,5,7,2,8,3,4] => [5,7,8,3,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,6,7,4,5,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,2,6,7,5,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,2,1,6,7,5,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,4,8,1,5,2,7] => [1,3,4,8,7,2,6,5] => [6,2,3,8,7,5,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[6,1,2,5,4,8,7,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,7,3,5,6,2] => [1,8,2,4,7,6,5,3] => [3,8,4,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,8,7,5,6,4,1,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,3,6,2,8,4] => [1,2,7,8,4,3,5,6] => [2,6,5,7,8,3,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,5,8,3,4,2,7,6] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,5,1,4,2,8,7,3] => [1,6,8,3,2,5,4,7] => [5,4,7,6,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,5,4,8,2,6,7,1] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,5,1,3,6,2,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,7,3,4,1,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,2,8,4,3] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,5,8,7,2,4,3] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,7,6,2,8,3,4] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,5,7,3,8,4] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,1,6,3,2] => [1,5,2,4,8,3,7,6] => [3,6,4,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,8,3,2,7,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,8,7,1,6,4,3] => [1,2,5,3,8,4,7,6] => [2,4,6,3,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,8,3,6,2,1] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,7,5,2,4,1] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,5,7,3,6,2,1] => [1,8,2,4,7,3,5,6] => [3,6,4,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,6,5,3,1,2] => [1,7,2,8,3,4,6,5] => [3,5,6,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,5,1,6,3,4] => [1,2,8,4,5,3,7,6] => [2,6,4,5,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,4,2,1,5,3] => [1,8,3,6,2,7,5,4] => [5,3,8,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,3,7,1,4,6,2] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,7,2,6,5,8] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,4,3,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,6,3,4,8,7] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,6,2,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,6,3,8,5,2] => [1,4,6,8,2,3,7,5] => [5,6,2,8,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,8,6,7,2,3] => [1,5,6,7,2,4,8,3] => [5,8,6,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,2,8,4,5,3,7,1] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,2,1,3,7,4,8,5] => [1,6,4,3,2,5,7,8] => [5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,5,8,1,3,6,4] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,7,2,4,5,1] => [1,8,2,3,6,4,7,5] => [3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,2,4,5,7,8,3] => [1,6,7,8,3,2,4,5] => [6,5,7,8,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,5,4,8,6,2,7,1] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,1,3,7,4,5,6,2] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,5,3,6,4,7,2] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,4,7,6,3,2] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,2,4,5,3,7,1] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,2,7,4,1,5] => [1,8,5,7,2,6,4,3] => [5,8,7,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,5,6,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,8,1,3,5,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,1,3,4,2,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,2,5,1,8,7,3,6] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,5,4,7,8,3,6] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,1,2,5,3,6,8] => [1,4,2,7,6,3,5,8] => [3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,7,2,3,6,8,4] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,1,6,2,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,3,1,7,2,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,6,3,5,4,1,2] => [1,8,2,7,3,6,4,5] => [3,5,7,8,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,7,6,1,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,4,8,3,1,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,8,2,1,3,7,6] => [1,5,2,4,3,8,6,7] => [3,5,4,2,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,4,7,6,3,5,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,4,3,1,7,6,2,8] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,7,5,6,2,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,8,1,7,3,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,3,4,8,7,1] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,4,8,7,2,1] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,6,2,7,3] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,3,1,2,7,6,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,1,2,3,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,6,2,4,5,1,3,7] => [1,8,7,3,2,6,4,5] => [5,4,7,8,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,1,6,3,2,4] => [1,5,6,3,8,4,2,7] => [7,4,6,2,3,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,3,1,6,2,5,4] => [1,7,5,6,2,8,4,3] => [5,8,7,3,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,5,8,2,4,6,3] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,8,1,4,6,3] => [1,7,6,4,8,3,2,5] => [7,6,4,8,3,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,1,6,8,5,4,3,2] => [1,7,3,6,4,8,2,5] => [7,3,5,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,2,8,5,7,3] => [1,4,2,6,5,8,3,7] => [3,7,2,5,4,8,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,1,6,3,5,7,4,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,5,8,2,6,7,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,1,4,3,6,7,2,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,7,8,4,3,6,2,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,3,6,8,5] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,2,1,5,6,3,8,4] => [1,7,8,4,5,6,3,2] => [8,7,4,5,6,2,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,1,8,6,3,2,4,7] => [1,5,3,8,7,4,6,2] => [8,3,6,2,7,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,6,3,8,1,7,5,4] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,8,6,3,7,4] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,6,4,1,7,3,5] => [1,2,8,5,3,6,7,4] => [2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,5,1,7,2,8,4,3] => [1,6,8,3,2,5,4,7] => [5,4,7,6,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,8,1,7,5,3,6,4] => [1,2,8,4,7,6,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,2,8,7,6,4,3,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,7,8,6,3,5,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,6,5,7,8,4,2,3] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,7,1,6,2,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,5,8,2,7,4,6] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,1,8,4,5,3,2,7] => [1,6,3,8,7,2,4,5] => [6,3,7,8,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,6,8,5,3,7,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,8,4,5,7,3,2] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,8,4,7,6,2] => [1,3,2,5,4,8,6,7] => [3,2,5,4,7,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,6,1,8,5,4,7,2] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,4,8,3,7,6,5,1] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,8,5,4,3,7,1] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,8,7,2,5,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,6,3,4,1,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,7,6,3,1,2,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,8,6,2,3,7] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,6,2,7,8,1,3,4] => [1,5,8,4,7,3,2,6] => [7,6,4,2,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,5,6,1,2,8] => [1,4,5,6,2,7,3,8] => [5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,2,5,6,8,4,7,1] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,2,4,7,8,1,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,2,5,7,3,8,1,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,1,6,8,2,5] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,4,1,3,7,8,2,6] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,8,3,7,2,4] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,2,1,6,8,3,5,4] => [1,7,5,8,4,6,3,2] => [8,7,5,3,6,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,5,2,1,7,8,3,6] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,1,7,6,2,3,8,5] => [1,4,6,3,7,8,5,2] => [8,4,2,7,3,5,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,2,6,7,4,3,5,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,3,1,8,5,4,7] => [1,6,5,8,7,4,2,3] => [7,8,6,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,6,4,1,7,2] => [1,5,4,6,2,8,3,7] => [5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,5,8,1,3,4,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,8,3,2,4,6] => [1,5,3,7,4,8,6,2] => [8,3,5,2,7,4,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,2,1,8,5,7,4,3] => [1,6,7,4,8,3,2,5] => [7,6,4,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,2,3,1,8,7] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,6,8,4,5,3] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,2,8,3,1,5] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,7,8,4,5,1] => [1,6,4,7,5,8,2,3] => [7,8,3,5,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,4,8,2,7,6,5,3] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,3,1,5,2,8,6] => [1,4,2,7,8,6,3,5] => [3,7,2,8,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,8,3,4,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,6,5,3,4,7] => [1,8,7,4,6,3,2,5] => [7,6,4,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,2,7,5,4,1,3] => [1,6,4,7,2,8,3,5] => [5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,4,5,7,6,2,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,5,7,1,6,2] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,3,4,8,7,2,1,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,4,7,1,6,2] => [1,5,7,6,2,3,8,4] => [5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,8,7,1,4,6,3] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,7,6,8,2,4,1,5] => [1,3,6,4,8,5,2,7] => [7,2,4,6,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,7,8,6,3,1,2] => [1,5,6,3,7,2,4,8] => [6,4,7,2,3,5,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,8,6,2,5,4,7,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,2,7,4,8,3,1,5] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,4,5,6,1,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,4,7,2,1,8] => [1,5,7,2,3,6,4,8] => [4,5,7,2,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,6,2,7,3,1,8] => [1,5,7,2,4,3,6,8] => [4,6,5,2,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,6,5,8,7,1,4] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,6,5,8,7,1,3] => [1,4,5,8,3,6,7,2] => [8,5,2,3,6,7,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,4,7,5,8,3,1,2] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,8,5,1,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,2,6,4,8,7,1,5] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,7,1,3,2,5,8,4] => [1,6,5,2,7,8,4,3] => [4,8,7,3,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,3,4,8,1,6] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,6,2,4,1,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,8,2,6,3,7,4,1] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,8,2,3,7,5,6,1] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[2,8,4,3,7,5,6,1] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,3,8,5,4,1] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,8,3,7,5,6,1] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,3,8,2,5,6,1] => [1,4,8,2,7,6,5,3] => [4,8,2,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,5,6,4,1,3,2,7] => [1,8,7,2,5,3,6,4] => [4,6,8,5,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,8,3,4,6,1] => [1,5,3,2,7,6,4,8] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,3,8,6,4,5,7,1] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,3,8,6,4,7,5,1] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,2,8,7,4,5,1] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,8,6,7,5,4,1] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,5,6,3,1,4,2,7] => [1,8,7,2,5,3,6,4] => [4,6,8,5,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,6,3,4,2,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,4,6,7,3,2,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,7,3,5,4,1,2,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,1,6,7,3,5,4,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,2,5,1,3,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,4,7,3,5,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,4,3,7,2,5,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,7,8,3,2,6,1,4] => [1,5,2,7,3,8,4,6] => [3,5,7,2,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,4,2,3,6,8] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,3,6,4,5,2,8] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,3,1,2,7,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,4,1,3,7,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,7,6,3,2,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,7,6,3,2,8] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,2,8,6,4,3,1] => [1,7,3,2,5,6,4,8] => [4,3,7,5,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,4,3,8,6,2] => [1,5,3,7,6,8,2,4] => [7,3,8,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,8,6,4,2,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,2,3,8,7,6] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,3,2,4,6,7,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,5,4,2,3,7,8,6] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,8,1,6,5] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,1,4,3,5,2,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,1,6,2,8,7] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,4,1,8,2] => [1,6,2,5,4,3,7,8] => [3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,6,1,8,2,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,1,6,3,5,4] => [1,7,5,6,3,8,4,2] => [8,5,7,3,4,2,6,1] => {{1,8},{2,3,4,5,6,7}} => 0
[6,5,7,1,2,8,3,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,1,2,4,3,6] => [1,7,3,5,2,8,6,4] => [5,3,8,4,7,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,1,4,3,6,7,2] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[4,6,2,7,8,1,3,5] => [1,4,7,3,2,6,5,8] => [5,4,2,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,7,1,4,5,8] => [1,6,4,7,5,2,3,8] => [6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,4,1,7,8,2,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,1,3,4,2,5,8,7] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,1,3,6,2,4,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,6,2,4,3,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,6,3,7,8,4,2] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,6,3,8,4,2] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,6,1,8,4,2] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,4,7,6,8,1,2] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,4,6,1,2,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,5,4,1,2,7,6,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[5,7,6,1,3,2,4,8] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,3,4,1,2,7,6,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,8,3,1,2,5,4,6] => [1,7,4,2,8,6,5,3] => [4,8,3,7,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,3,7,6,2,4,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,4,8,1,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,5,2,8,3,6,7,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,1,2,6,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,4,6,3,1,5,7] => [1,2,8,7,5,3,4,6] => [2,6,7,5,8,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,7,5,1,3,8,2,4] => [1,6,8,4,2,7,3,5] => [5,7,4,8,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,1,3,6,7,2,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,6,2,4,1,3,5] => [1,7,3,6,2,8,5,4] => [5,3,8,7,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,3,7,2,8,4] => [1,5,7,8,4,3,2,6] => [7,6,5,2,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,6,3,4,2,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,8,6,4,2,3] => [1,5,6,4,8,3,2,7] => [7,6,4,2,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,5,6,4,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,1,8,5,6,4,2,3] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,5,6,4,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,3,8,5,6,4,2,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,5,1,6,2,3,4,7] => [1,8,7,4,6,3,2,5] => [7,6,4,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,8,4,1,3,5,6] => [1,2,7,5,3,8,6,4] => [2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,4,6,5,1,8,3] => [1,2,7,8,3,4,6,5] => [2,5,6,8,7,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,8,7,6,3,4,2] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,4,8,5,2,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,7,4,6,5,2] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,1,2,6,5,7,3] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,1,7,8,6,2] => [1,4,2,3,5,7,6,8] => [3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,8,2,3,4,7,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,1,5,8,4,6] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,6,5,1,7,4,8] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,6,5,8,1,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,2,1,7,8,3] => [1,4,2,6,7,8,3,5] => [3,7,2,8,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,7,5,8,3,2] => [1,4,7,3,2,6,8,5] => [5,4,2,8,6,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,2,6,5,1,7,8,3] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,6,5,1,7,8,2] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,4,6,2,7,1] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,5,6,8,7,2,3] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,1,8,6,7,2] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,2,4,8,7,3] => [1,6,8,3,2,5,4,7] => [5,4,7,6,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,7,1,6,3,5,4,2] => [1,8,2,7,4,6,5,3] => [3,8,5,7,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,4,2,8,7,3] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,7,8,4,2,3,5] => [1,6,2,3,7,4,8,5] => [3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,4,3,1,8,5,2,6] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,3,5,2,1,6,4] => [1,7,6,2,8,4,5,3] => [4,8,6,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,7,1,5,6,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,6,2,8,1,7,4] => [1,3,6,2,5,8,4,7] => [4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,5,7,3,8,2,6] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,6,8,2,5,3,4] => [1,7,3,6,5,2,4,8] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,6,5,7,8,4,1,3] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,7,4,2,3,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,4,6,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,3,1,7,6,8,4,5] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,1,8,4,6,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,7,2,6,4,1,3] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,5,1,7,4,3,2] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,5,2,7,4,1,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,8,6,5,2,1,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,5,8,1,6,4,3,2] => [1,7,3,8,2,5,6,4] => [5,3,8,6,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,8,1,7,5,4] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,8,7,6,2,1,4] => [1,5,6,2,3,8,4,7] => [4,5,7,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,2,7,5,3,8] => [1,4,2,3,6,5,7,8] => [3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,6,2,3,1,4,8] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,2,5,1,6,3,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,6,2,4,3,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,3,6,4,7,2,1] => [1,8,2,5,4,6,7,3] => [3,8,5,4,6,7,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,5,2,7,1,3,4] => [1,6,2,8,4,3,5,7] => [3,6,5,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,7,5,1,4,6,3,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,3,8,5,4,2,1,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,8,5,3,4,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,4,3,8,6,1] => [1,5,3,7,6,8,2,4] => [7,3,8,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,6,8,3,5,4,1] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,7,4,5,3,8,6,1] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,7,4,5,8,1] => [1,6,5,4,7,8,2,3] => [7,8,4,3,2,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,7,6,2,3,5,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,3,6,5,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,8,6,5,2,4,7,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,8,4,3,2,5,7] => [1,2,6,3,8,7,5,4] => [2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,3,2,8,4,6,5] => [1,2,7,6,4,3,5,8] => [2,6,5,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,3,2,5,7,4,1] => [1,8,2,6,7,4,3,5] => [3,7,6,8,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[6,8,5,7,2,1,4,3] => [1,6,2,8,3,5,4,7] => [3,5,7,6,2,8,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,6,4,8,5,3,7,2] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,5,3,4,7,8,2] => [1,2,6,7,8,3,5,4] => [2,6,8,7,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,7,8,1,3,5] => [1,4,7,3,6,2,5,8] => [6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,6,5,1,3,7,8,2] => [1,4,2,6,7,8,3,5] => [3,7,2,8,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,7,2,6,4,8,3] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,1,6,5,8,3] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,4,2,3,6,7] => [1,8,7,6,3,5,2,4] => [7,5,8,6,4,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,6,1,2,4,8,3] => [1,7,8,3,6,4,2,5] => [7,4,6,8,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,1,4,8,7,2,3,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,4,7,8,2,3,5] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,1,2,4,7,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,2,4,7,5,8] => [1,6,7,5,4,2,3,8] => [6,7,5,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,4,5,1,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,3,4,6,7,5,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,8,5,6,4,3] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,1,3,5,4,7] => [1,6,5,3,2,8,7,4] => [5,4,8,3,2,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,8,2,5,6,1,3,7] => [1,4,5,6,2,8,7,3] => [5,8,2,3,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,7,8,4,6,3,2,5] => [1,2,7,3,8,5,6,4] => [2,4,8,6,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,7,3,2,1,6,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,8,3,4,6,5,2,1] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,3,4,1,2,5,7,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,2,8,4,6,5,1,3] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,2,4,3,7,1] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,4,8,7,5,3,2,1] => [1,6,3,8,2,4,7,5] => [5,3,6,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,3,2,8,7,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,7,6,8,4,2,5] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,5,2,7,6,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,5,2,8,7,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,5,1,7,2,4,8] => [1,3,5,7,4,2,6,8] => [6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,1,6,3,7,2,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,6,3,7,8,1] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,5,1,3,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,5,2,7,3,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,6,3,7,1,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,5,2,7,3,1,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,8,2,4,6,7,1] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,2,4,3,6,1,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,8,4,6,7,2,1,5] => [1,3,4,6,2,8,5,7] => [5,2,3,7,4,8,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,8,4,6,7,2,5,1] => [1,3,4,6,2,8,5,7] => [5,2,3,7,4,8,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,4,3,6,7,2,5,1] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,8,6,4,2,3,5,7] => [1,2,8,7,5,3,6,4] => [2,6,8,5,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,2,4,5,1,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,3,6,7,2,1,4,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,4,5,1,7,3] => [1,8,3,6,2,4,5,7] => [5,3,6,7,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,1,4,7,3,6,5] => [1,8,5,7,6,3,2,4] => [7,6,8,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,1,7,8,5,2,6] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,5,3,6,4,7,1] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[2,8,7,1,5,3,6,4] => [1,2,8,4,3,7,6,5] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,8,4,2,7,6,5,1] => [1,3,4,2,8,5,7,6] => [4,2,3,6,8,7,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,8,1,6,4,5,2,7] => [1,3,2,8,7,4,6,5] => [3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,3,6,2,1,8,5] => [1,7,8,5,2,4,6,3] => [5,8,6,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,2,4,8,6,3,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,2,1,5,3,4,8,6] => [1,7,8,6,4,5,3,2] => [8,7,5,6,4,2,3,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,7,2,3,1,4,8,6] => [1,5,2,7,8,6,4,3] => [3,8,7,2,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,2,4,6,8,3] => [1,7,8,3,5,4,2,6] => [7,4,6,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,7,3,5,6,1] => [1,8,2,4,7,6,5,3] => [3,8,4,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,8,6,4,7,5,3,2] => [1,2,8,3,6,5,7,4] => [2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,1,5,8,6,3,2] => [1,7,3,2,4,5,8,6] => [4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,8,7,6,4,2,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,1,7,4,6,3] => [1,2,8,3,5,7,6,4] => [2,4,8,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,6,4,7,5,2,3] => [1,2,8,3,6,5,7,4] => [2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,8,6,4,7,5,3] => [1,2,3,8,4,6,7,5] => [2,3,5,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,1,5,7,3,8] => [1,6,7,3,2,4,5,8] => [5,4,6,7,2,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[5,3,7,4,2,6,8,1] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,2,8,4,3,1,6,7] => [1,5,3,8,7,6,2,4] => [7,3,8,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,1,8,4,3,2,6,7] => [1,5,3,8,7,6,2,4] => [7,3,8,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,2,7,4,3,6,8,1] => [1,5,3,7,8,2,4,6] => [6,3,7,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,7,4,1,6,8,2] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,2,3,7,4,5,1,8] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,1,3,7,4,5,8,2] => [1,6,5,4,7,8,2,3] => [7,8,4,3,2,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[6,1,3,7,4,5,2,8] => [1,6,5,4,7,2,3,8] => [6,7,4,3,2,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,7,8,4,6,3,1] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[2,5,4,1,8,6,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,1,4,6,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,3,2,4,8,1,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,3,5,8,1,6,2] => [1,4,5,8,2,7,6,3] => [5,8,2,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,2,8,3,1,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,2,5,1,8,4] => [1,3,7,8,4,2,6,5] => [6,2,5,8,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,6,5,7,1,4,8,3] => [1,2,6,4,7,8,3,5] => [2,7,4,8,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,7,8,4,6,2] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,1,2,4,7,6,5,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,3,2,4,7,1,6] => [1,8,6,7,2,5,4,3] => [5,8,7,6,3,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[8,5,4,2,6,3,1,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,4,6,5,1,3,2,7] => [1,8,7,2,4,5,3,6] => [4,7,5,6,8,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[3,8,6,4,7,2,1,5] => [1,3,6,2,8,5,7,4] => [4,2,8,6,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,6,3,7,2,1,5] => [1,4,3,6,2,8,5,7] => [5,3,2,7,4,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[2,8,3,1,7,6,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,2,1,6,8,3,4] => [1,5,6,8,4,2,7,3] => [6,8,5,2,3,7,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,5,1,4,2,6,8,7] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,5,1,4,2,6,7,8] => [1,3,2,5,4,6,7,8] => [3,2,5,4,6,7,8,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,3,7,6,5,2,4,8] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,6,7,5,4,3] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,2,3,4,1,8,5,6] => [1,7,5,2,3,4,6,8] => [4,5,6,3,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,8,1,3,6,5] => [1,2,4,8,5,3,7,6] => [2,6,3,5,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,1,2,3,7,4,6] => [1,8,6,7,4,2,5,3] => [6,8,5,7,3,4,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[5,2,8,3,1,4,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,7,4,5,1,2,6,3] => [1,8,3,4,5,2,7,6] => [6,3,4,5,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,2,7,1,5,4] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,4,8,2,1,7,6,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,3,5,7,6,2,4,1] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,7,3,2,8,4,5] => [1,6,8,5,2,3,7,4] => [5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,2,5,1,8,3,6,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,6,2,7,8,4,3,5] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,2,7,8,4,6,5] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[6,3,1,4,7,8,2,5] => [1,6,8,5,7,2,3,4] => [6,7,8,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,7,1,5,4,6,3,2] => [1,8,2,7,3,4,5,6] => [3,5,6,7,8,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,6,5,1,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[5,4,7,3,1,2,6,8] => [1,5,2,4,3,7,6,8] => [3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,6,8,5,4,3,1] => [1,7,3,6,4,8,2,5] => [7,3,5,8,4,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,6,2,4,1,8] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,5,1,3,6,8,7] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,4,8,5,1,7] => [1,6,5,8,7,2,3,4] => [6,7,8,3,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,2,7,8,4,5] => [1,6,8,5,7,4,2,3] => [7,8,6,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,4,2,3,1,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,7,2,3,6] => [1,2,8,6,3,5,7,4] => [2,5,8,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,5,6,4,3,1,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,2,5,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,2,4,1,6,7,3,5] => [1,8,5,6,7,3,4,2] => [8,6,7,3,4,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,7,3,6,2,4,1,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,8,1,7,2,6] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,3,4,2,7,8,1,5] => [1,6,8,5,7,2,3,4] => [6,7,8,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,6,3,7,8,2,1,4] => [1,5,8,4,7,2,6,3] => [6,8,4,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,8,6,7,5,1,2] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,2,7,8,3,1] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,2,1,7,8,3] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,6,2,1,7,3,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,5,1,6,7,3,2,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,8,3,7,4,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,2,1,3,8,4,6] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,4,1,6,8,2] => [1,3,5,2,7,8,4,6] => [4,2,7,3,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,4,5,6,8,1,3] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,5,8,1,6,7,4] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,4,6,2,8,1,5] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,7,6,5,2,8,3,1] => [1,4,5,2,7,3,6,8] => [4,6,2,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,4,6,3,8,7] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,6,4,3,1,7,2] => [1,8,2,5,3,6,4,7] => [3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,5,6,7,1,2,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,4,7,3,6,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,7,6,8,2,3] => [1,5,6,8,3,4,7,2] => [8,5,6,2,3,7,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,3,4,1,6,7,5,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,2,6,5,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,1,4,3,2,5,6] => [1,7,5,3,2,8,6,4] => [5,4,8,3,7,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,2,7,5,1,8,6] => [1,4,7,8,6,2,3,5] => [6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,7,1,4,5,6,3] => [1,2,8,3,7,6,5,4] => [2,4,8,7,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,5,3,8,1,6,7,4] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,3,4,1,7,8,2] => [1,6,7,8,2,5,3,4] => [5,7,8,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,3,1,4,7,8,6] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,3,1,5,2,7,8,6] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,1,4,7,8,6] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,6,4,5,8,1,2] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,4,8,7,2,3,1,6] => [1,5,2,4,7,3,8,6] => [3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,1,4,5,3,6,2,7] => [1,8,7,2,3,4,5,6] => [4,5,6,7,8,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,5,1,4,6,2,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,2,1,7,4,3,6] => [1,5,7,3,2,8,6,4] => [5,4,8,2,7,3,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,6,8,4,1,7,2,5] => [1,3,8,5,2,6,7,4] => [5,2,8,4,6,7,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,4,1,6,2,5,7,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,5,1,6,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,2,7,6,1,5,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,2,7,1,5,4,3] => [1,6,5,2,8,3,4,7] => [4,6,7,3,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,6,5,4,7,2,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,1,2,6,5,3,7,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,6,3,5,1,7,8] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,5,2,7,1,3,6,8] => [1,4,7,6,3,2,5,8] => [6,5,2,7,4,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,1,2,5,3,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,5,1,4,8,7,3] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,4,7,1,3,6,2] => [1,5,2,8,3,4,7,6] => [3,5,6,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,1,3,5,2,8] => [1,6,5,3,7,2,4,8] => [6,4,7,3,2,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,2,7,4,6,1] => [1,5,7,6,4,2,8,3] => [6,8,5,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,3,1,5,4,7,2] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,8,1,2,5,3,7,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,1,6,4,8,3] => [1,5,6,4,2,3,7,8] => [5,6,4,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,6,1,3,7,8] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,6,7,4,2,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[3,7,1,8,5,2,4,6] => [1,3,2,7,4,8,6,5] => [3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,1,6,4,7,2,8] => [1,5,4,6,7,2,3,8] => [6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,4,5,8,7,3,6] => [1,2,3,4,5,8,6,7] => [2,3,4,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,3,7,5,1,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,5,8,1,4,2] => [1,3,7,4,5,8,2,6] => [7,2,4,5,8,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,1,6,8,4,5,3] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,6,8,7,3,5,1,4] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,7,1,4,6,3,2] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,4,6,1,3,2,7,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,4,3,2,6,8] => [1,5,3,2,7,6,4,8] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,6,4,1,3,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,6,7,8,4,5,3] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,4,8,2,7,5,3] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,3,4,5,1,8,6,2] => [1,7,6,8,2,3,4,5] => [5,6,7,8,3,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[1,5,6,7,4,8,2,3] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,5,2,7,6,3,1,8] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,1,7,6,3,8] => [1,4,2,5,7,3,6,8] => [3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,3,2,5,1,7,8,4] => [1,6,7,8,4,5,2,3] => [7,8,5,6,2,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,4,6,5,2,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,7,8,1,6,5,3,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,4,5,8,1,7,6,3] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,1,3,2,7,6,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,5,8,1,6,2,3,4] => [1,7,3,8,4,2,5,6] => [6,3,5,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[6,2,4,5,3,8,1,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,6,8,4,2,5,7,3] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,8,1,5,2,3,7,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,2,8,6,7,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,4,6,2,7,3] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,7,5,4,6,2,8,3] => [1,2,7,8,3,5,6,4] => [2,5,8,6,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,1,7,2,8,3] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,8,1,3,7,6,2,5] => [1,4,3,2,8,5,7,6] => [4,3,2,6,8,7,5,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,5,2,1,3,8,7,4] => [1,6,8,4,2,5,3,7] => [5,7,4,6,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,8,3,5,4,2] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[6,5,7,4,1,3,2,8] => [1,6,3,7,2,5,4,8] => [5,3,7,6,2,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,6,1,8,3,5,2,7] => [1,4,8,7,2,6,5,3] => [5,8,2,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,8,3,2,5,6] => [1,4,8,6,2,7,5,3] => [5,8,2,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,4,8,1,6,3,2,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,3,6,2,1,5] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,5,7,1,3] => [1,4,2,6,7,3,8,5] => [3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,8,2,4,7,3,5,1] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,2,7,1,3,5] => [1,8,5,7,3,6,2,4] => [7,5,8,3,6,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,4,1,7,3,5] => [1,6,7,3,2,8,5,4] => [5,4,8,7,2,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,3,8,7,1,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[2,5,4,7,6,1,3,8] => [1,2,5,6,3,4,7,8] => [2,5,6,3,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,3,7,6,1,4,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,3,1,7,8,4] => [1,5,2,6,7,8,4,3] => [3,8,7,2,4,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,3,1,6,4,7] => [1,8,7,4,3,2,5,6] => [6,5,4,7,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,4,2,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,1,5,6,3,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,2,3,1,5,4,7] => [1,6,5,2,8,7,4,3] => [4,8,7,3,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,2,1,4,6,8,3] => [1,5,4,2,7,8,3,6] => [4,7,3,2,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,3,8,4,6,7,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,1,3,2,6,7,8,4] => [1,5,6,7,8,4,2,3] => [7,8,6,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,2,7,6,8] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,1,3,4,2,7,5,8] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,3,7,4,6,1,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[5,2,1,3,6,7,8,4] => [1,5,6,7,8,4,3,2] => [8,7,6,2,3,4,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,6,5,7,2,8,4,3] => [1,2,6,8,3,5,4,7] => [2,5,7,6,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,4,6,2,8,7,3] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,5,4,6,2,8,3,7] => [1,2,5,3,4,6,8,7] => [2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,3,7,8,1,6,2] => [1,4,7,6,2,5,8,3] => [5,8,2,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,4,1,5,7,6,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,6,1,4,3,7,8] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,8,2,3,5,6,1] => [1,7,6,5,3,8,2,4] => [7,5,8,4,3,2,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,5,4,1,2,6,7,8] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[5,3,1,4,6,7,8,2] => [1,5,6,7,8,2,3,4] => [6,7,8,2,3,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,6,7,4,8,5,1] => [1,3,6,8,2,4,7,5] => [5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,4,1,3,6,7,8] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,7,3,1,4,2,8] => [1,6,4,3,7,2,5,8] => [6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,5,6,2,1,8,3] => [1,7,8,3,5,2,4,6] => [6,4,7,5,8,2,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,4,5,2,7,1,8,3] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,7,5,6,2,1,8,4] => [1,3,5,2,7,8,4,6] => [4,2,7,3,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,4,1,3,5,2,7,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,5,8,2,3,7,1,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,7,2,5,1,6,8,3] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,4,7,2,8,3,1] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[6,3,1,7,4,2,5,8] => [1,6,2,3,4,7,5,8] => [3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,2,8,1,5,6,4,3] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,3,6,4,1,5,7,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,2,6,3,8,4,1] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,6,1,3,8,7] => [1,2,5,3,4,6,7,8] => [2,4,5,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,4,3,5,7,8] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,2,4,3,5,8,7] => [1,6,5,3,2,4,7,8] => [5,4,6,3,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,8,7,1,4,2,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,5,1,2,3,6,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,6,1,5,4,7,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,8,6,4,7,1,2,5] => [1,3,6,2,8,5,7,4] => [4,2,8,6,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,6,4,7,1,3,2,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,3,4,1,6,2,7,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,1,3,6,5,2,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,2,6,3,8,7] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[2,7,8,4,1,3,6,5] => [1,2,7,6,3,8,5,4] => [2,5,8,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,8,6,5,1,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,3,1,4,5,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,4,8,5,2,1,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,8,7,1,3,2,6,5] => [1,4,2,8,5,3,7,6] => [3,6,2,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,4,6,1,3,2] => [1,5,6,2,8,3,7,4] => [4,6,8,2,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,4,3,5,2,6] => [1,2,8,6,5,3,7,4] => [2,6,8,5,4,7,3,1] => {{1,2,3,6,7,8},{4,5}} => 0
[3,4,7,5,2,8,1,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,6,8,4,2,7,1,5] => [1,3,8,5,2,6,7,4] => [5,2,8,4,6,7,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,3,6,8,2,4,7,5] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,4,1,6,2,7,3] => [1,8,3,4,2,5,6,7] => [5,3,4,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,7,3,5,1,4] => [1,8,4,7,2,6,5,3] => [5,8,3,7,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,1,3,8,7,5,6,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,5,4,1,8,3,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,5,8,1,3,7,6,2] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,6,1,2,5,7,4] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[4,3,7,6,1,8,5,2] => [1,4,6,8,2,3,7,5] => [5,6,2,8,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,6,3,8,1] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,2,4,3,7,6,8] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,3,5,1,4,6,2] => [1,8,2,7,6,4,5,3] => [3,8,6,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,3,5,2,4,6,1] => [1,8,2,7,6,4,5,3] => [3,8,6,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,2,7,6,5,1,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,3,8,5,2,7,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,7,1,4,5,6,2,3] => [1,8,3,2,7,4,5,6] => [4,3,6,7,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,7,1,4,3,8,5] => [1,2,6,3,7,8,5,4] => [2,4,8,7,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,2,8,3,7,1,6] => [1,4,8,6,7,2,5,3] => [6,8,2,7,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,3,5,1,2,7] => [1,4,3,8,7,2,6,5] => [6,3,2,8,7,5,4,1] => {{1,4,5,6,7,8},{2,3}} => 0
[1,3,8,7,4,5,6,2] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,2,5,1,7,8,3] => [1,6,7,8,3,2,4,5] => [6,5,7,8,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[3,8,2,1,5,7,6,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,2,8,7,4,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,7,3,8,6,1] => [1,5,3,2,4,7,6,8] => [4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,2,5,4,1,7,8,3] => [1,6,7,8,3,5,2,4] => [7,5,8,6,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[4,1,5,6,3,8,7,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,8,5,1,3,7,6,4] => [1,2,8,4,3,5,6,7] => [2,5,4,6,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,8,3,7,6,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,1,3,5,4,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,3,8,7,2,5,6,4] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,1,2,7,6,5,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,2,4,6,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,3,4,8,6,5,1] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,7,4,8,3,6,1] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,5,6,2,4,7,1,3] => [1,8,3,6,7,2,5,4] => [6,3,8,7,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,2,8,5,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,3,1,2,4,6,7] => [1,5,2,8,7,6,4,3] => [3,8,7,2,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[1,5,8,7,2,4,3,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,8,7,3,5,4,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,7,4,2,8,1,3,5] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,3,7,6,4,8,2,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,6,4,8,7,3,1,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,1,8,7,3,5,4,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,1,3,7,2,4,6,5] => [1,8,5,2,3,4,7,6] => [4,5,6,3,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,1,4,8,3] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,8,6,7,2,5,4,1] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,8,1,2,7,4,3,6] => [1,5,7,3,2,8,6,4] => [5,4,8,2,7,3,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,3,1,8,2,4,5,7] => [1,6,4,8,7,5,2,3] => [7,8,3,6,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,6,2,4,8,3,1,5] => [1,7,2,6,3,4,5,8] => [3,5,6,7,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,3,1,2,5,4,7] => [1,6,5,2,8,7,4,3] => [4,8,7,3,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,4,7,1,2,3] => [1,5,7,2,8,3,6,4] => [4,6,8,2,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,4,7,3,6,8,2,5] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,7,3,6,8,1,5] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,7,5,6,1,8,4,3] => [1,2,7,4,6,8,3,5] => [2,7,4,8,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,2,6,7,4,5,8,3] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[2,3,1,8,7,5,6,4] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,2,4,3,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,6,4,1,5,3,7] => [1,2,8,7,3,6,5,4] => [2,5,8,7,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,4,5,1,3,2,6] => [1,8,6,3,4,5,2,7] => [7,4,5,6,3,8,2,1] => {{1,2,4,6,7,8},{3,5}} => 0
[2,6,3,8,4,1,7,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,8,4,7,3,2,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,8,6,3,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,7,5,2,3,8,6,4] => [1,2,7,6,8,4,3,5] => [2,7,6,8,4,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,4,2,1,3,7,5,6] => [1,8,6,7,5,3,2,4] => [7,6,8,5,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,8,2,4,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,8,3,2,4,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,1,5,4,6,7,8,2] => [1,3,5,6,7,8,2,4] => [7,2,8,3,4,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,4,2,7,6,5,8,3] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,7,3,4,1,5,6] => [1,2,8,6,3,7,5,4] => [2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,1,7,8,3,2,6,4] => [1,5,3,7,6,2,4,8] => [6,3,7,2,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,8,5,1,3,2,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,4,3,1,2,7,6,8] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,5,2,3,7,8] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,5,2,3,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,6,3,7,2,5,8] => [1,4,3,6,2,5,7,8] => [5,3,2,6,4,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,6,1,2,8,3,7,5] => [1,4,2,6,3,5,8,7] => [3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,6,7,1,5,4,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[5,1,6,7,3,2,4,8] => [1,5,3,6,2,4,7,8] => [5,3,6,2,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,1,4,7,2,3,8] => [1,5,7,3,2,6,4,8] => [5,4,7,2,6,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,2,6,7,4,5,3,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,8,5,3,2,4,6,7] => [1,2,8,7,6,4,3,5] => [2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,8,3,4,2,5,7] => [1,2,6,3,8,7,5,4] => [2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,7,8,6,4,3,2,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,2,1,6,7,5,4] => [1,3,2,8,4,5,6,7] => [3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,4,1,5,8,3,6] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,5,8,4,6,7,2] => [1,2,3,5,4,8,6,7] => [2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,4,8,2,7,1,5,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,8,1,2,4,6,3,5] => [1,7,3,2,8,5,4,6] => [4,3,7,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,1,2,4,3,8,6] => [1,7,8,6,3,2,5,4] => [6,5,8,7,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,6,8,5,1,7,4] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,4,8,6,1,7,5] => [1,3,4,8,5,6,2,7] => [7,2,3,5,6,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[2,1,3,8,4,5,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,7,8,4,6,5] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,1,3,8,4,7,6,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,2,8,7,5,4,6,3] => [1,2,3,8,4,7,6,5] => [2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,2,7,5,6,8,1,4] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,4,6,8,5,7,2,3] => [1,2,4,8,3,6,7,5] => [2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,4,5,8,1,6,2,3] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,2,3,6,8,1,5,4] => [1,7,5,8,4,6,2,3] => [7,8,5,3,6,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,5,8,6,3,1] => [1,7,3,4,5,8,2,6] => [7,3,4,5,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,5,4,1,3,6] => [1,7,3,8,6,2,4,5] => [6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,5,4,8,3,6,1] => [1,7,6,3,5,8,2,4] => [7,4,8,5,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,2,8,3,6,1] => [1,7,6,3,5,8,2,4] => [7,4,8,5,3,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,2,4,6,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[6,5,2,4,3,8,7,1] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,4,6,2,5,7,1,8] => [1,3,6,7,2,4,5,8] => [5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,8,3,6,5,1,2] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,1,7,2,3] => [1,6,7,2,4,5,3,8] => [4,7,5,6,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,2,7,4,5,8,1] => [1,6,5,4,7,8,2,3] => [7,8,4,3,2,5,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,4,3,8,5,6,1,2] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,2,1,7,6,3,4,8] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,3,4,7,8,2,6,5] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[3,5,6,2,4,7,8,1] => [1,3,6,7,8,2,5,4] => [6,2,8,7,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,5,4,7,2,6,8,1] => [1,3,4,7,8,2,5,6] => [6,2,3,7,8,4,5,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[3,5,2,7,8,6,4,1] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,1,4,2,5,3,6,7] => [1,8,7,6,3,4,2,5] => [7,5,6,8,4,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,3,1,2,5,4,6,7] => [1,8,7,6,4,2,3,5] => [6,7,5,8,4,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,2,5,1,8,7,6,3] => [1,4,2,3,5,8,6,7] => [3,4,2,5,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,8,1,7,6,3] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,3,4,2,6,7,1,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,3,1,8,2,6,5,4] => [1,7,5,2,3,4,8,6] => [4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,7,2,4,3,1,6] => [1,5,4,2,8,6,3,7] => [4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,7,6,2,4,3,8,5] => [1,2,7,8,5,4,3,6] => [2,7,6,5,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,2,5,8,3,4,1,7] => [1,6,4,8,7,2,3,5] => [6,7,3,8,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,8,6,5,7,4,3,1] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,8,6,5,7,4,1,3] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,8,5,2,4,1,3] => [1,7,2,6,4,5,3,8] => [3,7,5,6,4,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,8,4,6,3,7,1] => [1,2,5,6,3,8,4,7] => [2,5,7,3,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,2,3,7,6,1] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,6,2,7,4,8,3,1] => [1,5,4,7,3,2,6,8] => [6,5,3,2,7,4,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,3,1,8,2,6,7,5] => [1,4,8,5,2,3,6,7] => [5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,5,3,8,1,4,7,6] => [1,2,5,3,4,8,6,7] => [2,4,5,3,7,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,4,1,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,2,3,4,1,5,7,6] => [1,8,6,5,2,3,4,7] => [5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,8,1,4,3,6,5] => [1,2,7,6,3,8,5,4] => [2,5,8,7,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,3,2,5,6,7] => [1,8,7,6,5,2,4,3] => [6,8,7,5,4,3,2,1] => {{1,2,3,6,7,8},{4,5}} => 0
[8,6,1,2,3,5,4,7] => [1,8,7,4,2,6,5,3] => [5,8,4,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,3,8,1,4,7] => [1,2,5,8,7,4,3,6] => [2,7,6,3,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,1,4,5,3,2] => [1,7,3,8,2,6,5,4] => [5,3,8,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,7,8,5,6,4,3,2] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,8,5,6,4,3,7,2] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,8,4,5,1,7,3] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,3,6,7,2,5] => [1,8,5,6,7,2,4,3] => [6,8,7,3,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,5,3,4,8,1,7] => [1,6,8,7,2,3,5,4] => [5,6,8,7,2,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,8,1,7,2,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,1,3,4,8,7,2,6] => [1,5,8,6,7,2,3,4] => [6,7,8,2,4,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,8,4,7,6,2] => [1,5,4,8,2,3,6,7] => [5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,3,6,5,8,4,1,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,3,5,1,7,6,4,8] => [1,2,3,5,7,4,6,8] => [2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,8,7,6,4,1,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,5,7,4,6,3] => [1,8,3,2,4,5,7,6] => [4,3,5,6,8,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,3,1,2,5,8] => [1,7,5,2,4,3,6,8] => [4,6,5,3,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,4,1,3,7,2,5,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,6,4,7,5,1,3,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,2,6,5,3,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,1,8,3,2,6,5,4] => [1,7,5,2,3,8,4,6] => [4,5,7,3,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,5,3,4,1,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,3,1,7,8,2] => [1,6,7,8,2,4,3,5] => [5,7,6,8,2,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,5,6,3,4,1,8,7] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,6,7,2,3,8,5,1] => [1,4,2,6,8,3,7,5] => [3,6,2,8,4,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,4,5,8,3,6,2] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,3,7,8,1,5,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,2,7,8,3,1,4] => [1,5,8,4,7,2,6,3] => [6,8,4,2,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,7,1,8,4,3] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,5,3,6,4,2,1,7] => [1,8,7,2,5,4,6,3] => [4,8,6,5,7,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,5,8,1,2,3,6,4] => [1,7,6,3,8,4,2,5] => [7,4,6,8,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,1,6,3,8,2] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,2,5,1,6,8] => [1,4,2,3,7,6,5,8] => [3,4,2,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,1,4,3,2,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,2,1,3,5,4,6,8] => [1,7,6,4,3,2,5,8] => [6,5,4,7,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,2,5,4,8,7] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,3,6,7,5,1,8] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,3,4,8,5,6,2,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,3,8,5,6,7,2,4] => [1,2,3,8,4,5,6,7] => [2,3,5,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,6,8,3,1,2,5] => [1,7,2,4,8,5,3,6] => [3,7,4,6,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,1,5,4,8,6] => [1,7,8,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,1,6,2,3,7,8] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,3,6,5,2,4,7,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,8,1,4,5,3,6] => [1,2,7,3,8,6,5,4] => [2,4,8,7,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,1,3,5,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,3,7,2,5,6,1] => [1,8,2,4,7,6,5,3] => [3,8,4,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,2,4,5,1,7,3,6] => [1,8,6,7,3,4,5,2] => [8,5,6,7,3,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,4,3,7,1,5,6,2] => [1,8,2,4,7,6,5,3] => [3,8,4,7,6,5,2,1] => {{1,2,3,4,7,8},{5,6}} => 0
[5,1,8,4,2,3,7,6] => [1,5,2,3,8,6,4,7] => [3,4,7,2,6,8,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,2,7,6,3,1,4,5] => [1,8,5,3,7,4,6,2] => [8,4,6,3,7,5,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[5,8,2,7,3,1,6,4] => [1,5,3,2,8,4,7,6] => [4,3,6,2,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,2,6,7,5,4,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,1,7,5,6,2,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,4,7,2,3,6,5,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,1,2,7,6,4,5,3] => [1,8,3,2,4,7,5,6] => [4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,2,4,7,5,6,3] => [1,2,8,3,4,5,7,6] => [2,4,5,6,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,3,7,6,4,5] => [1,2,8,5,7,4,3,6] => [2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,7,8,5,2,4,6] => [1,3,7,4,8,6,2,5] => [7,2,4,8,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,1,8,2,7,5,3] => [1,4,8,3,2,6,7,5] => [5,4,2,8,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,4,8,6,3,1,7] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,4,8,6,3,7,1] => [1,2,5,6,3,4,8,7] => [2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,5,8,2,1,7,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,1,2,6,8,7] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,3,5,1,8,6,2,7] => [1,4,2,3,5,8,7,6] => [3,4,2,5,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[3,5,4,8,1,6,7,2] => [1,3,4,8,2,5,6,7] => [5,2,3,6,7,8,4,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[1,7,6,2,5,4,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,2,1,5,6,8,4] => [1,3,2,7,8,4,5,6] => [3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,3,4,1,6,5,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,4,3,5,2,7] => [1,8,7,2,3,6,5,4] => [4,5,8,7,6,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,4,5,2,7,1] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,5,1,6,8,3,7,2] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,4,2,6,5,3,8,7] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,2,7,4,6,1,8,5] => [1,3,7,8,5,6,2,4] => [7,2,8,5,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,3,2,4,5,7,1,6] => [1,8,6,7,2,3,4,5] => [5,6,7,8,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,7,1,5,4,2] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,6,1,5,2,4,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,5,2,4,1,3,8,6] => [1,7,8,6,3,2,5,4] => [6,5,8,7,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,5,4,1,3,7,2] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,4,3,8,7,2] => [1,6,8,2,5,3,4,7] => [4,6,7,5,2,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,7,6,2,5,8,1,3] => [1,4,2,7,3,6,8,5] => [3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,3,2,4,5,8,1,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,7,2,4,5,8,6,3] => [1,2,7,6,8,3,4,5] => [2,6,7,8,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,4,7,5,8,3] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,8,2,3,6,4,7] => [1,2,5,3,8,7,4,6] => [2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,6,7,5,3,4,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,6,8,7,4,5,3] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,5,6,8,2,7,1] => [1,3,5,8,2,4,6,7] => [5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,2,1,4,5,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,3,4,2,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,6,7,8,2,4,5,3] => [1,2,6,4,8,3,7,5] => [2,6,4,8,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,8,2,3,1,6,4] => [1,5,3,8,4,2,7,6] => [6,3,5,2,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,2,1,5,8,4] => [1,3,7,8,4,2,6,5] => [6,2,5,8,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,5,6,1,3,8,7,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,7,3,5,2,6,8,1] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,4,5,2,8,1] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,4,2,8,5,6,1] => [1,7,6,5,8,2,3,4] => [6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,2,8,4,7,5,6,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,4,5,8,7,2,1,3] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,2,3,8,7,5,1] => [1,6,7,5,8,2,4,3] => [6,8,7,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,7,1,4,6,8,2,3] => [1,5,6,8,3,2,7,4] => [6,5,8,2,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,5,7,3,8,4] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,1,3,5,6,4,7,2] => [1,8,2,3,4,5,6,7] => [3,4,5,6,7,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,1,5,6,2,8] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,8,6,4,7,3,2,1] => [1,5,7,2,8,3,6,4] => [4,6,8,2,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[8,5,2,3,1,6,7,4] => [1,8,4,3,2,5,6,7] => [5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,1,3,4,6,7,2] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,8,6,2,5,4,7,1] => [1,3,6,4,2,8,5,7] => [5,2,4,7,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[3,8,4,6,5,2,7,1] => [1,3,4,6,2,8,5,7] => [5,2,3,7,4,8,6,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,6,4,7,1,3,5,2] => [1,8,2,6,3,4,7,5] => [3,5,6,8,4,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,4,3,2,1,7,5] => [1,6,2,8,5,3,4,7] => [3,6,7,5,2,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,8,5,3,2,7,1] => [1,6,2,4,5,3,8,7] => [3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,2,4,7,8,1,3,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[1,7,8,5,4,6,2,3] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,6,8,1,5,2,7,3] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,4,8,2,7,5] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,8,3,2,4,5,7] => [1,2,6,4,3,8,7,5] => [2,5,4,8,3,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[8,6,5,2,4,3,7,1] => [1,8,2,6,3,5,4,7] => [3,5,7,6,4,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,6,4,8,2,5,1] => [1,7,5,8,2,3,6,4] => [5,6,8,3,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,3,5,4,8,2,6,1] => [1,7,6,2,3,5,8,4] => [4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,5,7,4,2,8,3] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,4,7,3,5,6,2] => [1,8,2,3,4,7,6,5] => [3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,5,6,4,1,3,8,7] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,3,6,8,5,2,1,7] => [1,4,8,7,2,3,6,5] => [5,6,2,8,7,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,8,5,2,3,7] => [1,4,8,7,3,6,2,5] => [7,5,2,8,6,4,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,8,6,2,4,7,1] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,1,2,5,4,8,6] => [1,7,8,6,4,2,3,5] => [6,7,5,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,6,4,1,3,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,2,4,3,7,6] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,3,7,8,2,6,5,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,6,2,7,3,4,5,1] => [1,8,2,6,4,7,5,3] => [3,8,5,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,5,6,3,7,2,4,8] => [1,2,5,7,4,3,6,8] => [2,6,5,3,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,6,7,4,2,3,8] => [1,2,5,4,7,3,6,8] => [2,6,4,3,7,5,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[8,6,1,7,3,4,5,2] => [1,8,2,6,4,7,5,3] => [3,8,5,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,5,1,7,4,2,3] => [1,6,4,2,8,3,5,7] => [4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,8,5,2,3,1,6,7] => [1,4,2,8,7,6,3,5] => [3,7,2,8,6,5,4,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,4,2,6,7,1,5,3] => [1,8,3,2,4,6,5,7] => [4,3,5,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,3,6,5,2,4] => [1,2,7,3,8,4,5,6] => [2,4,6,7,8,3,5,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,4,2,3,7,5,8,1] => [1,6,5,7,8,2,4,3] => [6,8,7,3,2,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,7,5,1,2,8,4] => [1,6,2,3,7,8,4,5] => [3,4,7,8,2,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,2,8,5,3,4,1] => [1,7,4,8,2,6,3,5] => [5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,5,7,1,4,2,6,3] => [1,8,3,7,6,2,5,4] => [6,3,8,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,1,4,8,3,6,5] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,3,1,8,7,4,6,5] => [1,2,3,4,8,5,7,6] => [2,3,4,6,8,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,2,7,8,3,6,5,1] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,2,6,4,8,7,3,1] => [1,5,8,2,3,6,7,4] => [4,5,8,2,6,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,3,1,7,8,6] => [1,5,2,4,3,6,7,8] => [3,5,4,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,4,3,8,2,6,7] => [1,5,8,7,6,2,3,4] => [6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,2,8,7,3,6,5,1] => [1,4,7,5,3,8,2,6] => [7,5,2,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,7,8,2,1,5,3] => [1,4,8,3,7,5,2,6] => [7,4,2,6,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,5,1,6,3,2,4] => [1,8,4,2,7,3,5,6] => [4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,6,2,3,5,1,4] => [1,7,2,8,4,3,6,5] => [3,6,5,8,7,2,4,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,6,3,4,1,2,7,5] => [1,8,5,2,6,3,4,7] => [4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,5,8,3,6,2,1] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[8,4,7,3,5,6,2,1] => [1,8,2,4,3,7,5,6] => [3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[3,4,8,6,2,1,7,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,1,8,2,4,6,5,7] => [1,3,8,7,5,4,2,6] => [7,2,6,5,8,4,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,1,7,6,2,5,4,3] => [1,8,3,7,4,6,5,2] => [8,3,5,7,6,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[3,5,8,6,1,7,4,2] => [1,3,8,2,5,4,6,7] => [4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,4,5,3,1,7,2,6] => [1,8,6,7,2,4,3,5] => [5,7,6,8,3,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,4,5,3,1,8,6,2] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,7,2,4,3,1] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,8,7,5,1,3,2,4] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,6,8,3,2,4,1] => [1,5,3,6,2,7,4,8] => [5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,6,4,2,8,1,5,3] => [1,7,5,8,3,4,2,6] => [7,5,6,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,4,8,7,1,2,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,6,7,8,2,4] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[2,1,4,7,8,6,3,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[6,4,8,5,7,3,1,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,6,4,7,2,5,8,3] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,7,5,6,4,8,2,3] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,2,6,4,5,8,1,3] => [1,7,2,3,6,8,4,5] => [3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[3,5,7,2,8,4,1,6] => [1,3,7,2,5,8,6,4] => [4,2,8,5,7,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,2,1,4,8,6,5] => [1,7,6,8,5,4,2,3] => [7,8,6,5,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,3,4,1,7,6,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,2,5,3,4,7,1,8] => [1,6,7,2,3,5,4,8] => [4,5,7,6,2,3,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,3,4,6,8,2,1,5] => [1,7,2,3,4,6,5,8] => [3,4,5,7,6,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,6,1,7,8,3] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,3,1,4,2,5,8,7] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,2,3,1,4,6,8,7] => [1,5,4,2,3,6,7,8] => [4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[3,5,4,1,6,2,8,7] => [1,3,4,2,5,6,7,8] => [4,2,3,5,6,7,8,1] => {{1,4,5,6,7,8},{2},{3}} => 2
[8,4,2,6,5,3,7,1] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,7,6,5,3,2,8] => [1,4,6,3,7,2,5,8] => [6,4,2,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,6,7,5,2,8] => [1,4,6,5,7,2,3,8] => [6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,8,5,7,1,4,3,6] => [1,2,8,6,4,7,3,5] => [2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,5,8,2,1,6,7,3] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[7,4,2,5,3,6,1,8] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[6,8,3,2,4,1,5,7] => [1,6,2,8,7,5,4,3] => [3,8,7,6,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,1,8,2,5,4,3] => [1,7,4,8,3,2,6,5] => [6,5,3,8,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,1,6,7,3,5,2] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,4,2,1,6,3,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,2,8,1,6,3,7] => [1,5,2,4,8,7,3,6] => [3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,8,6,3,2,7,1,4] => [1,5,2,8,4,3,6,7] => [3,6,5,2,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,6,2,5,8] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,5,7,2,4,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,1,4,8,6,7,3] => [1,5,8,3,2,4,6,7] => [5,4,6,2,7,8,3,1] => {{1,3,5,6,7,8},{2,4}} => 0
[4,5,2,1,3,7,6,8] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,7,6,4,5,1,8,3] => [1,2,7,8,3,6,4,5] => [2,5,7,8,6,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,1,7,3,5,2] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,3,2,6,7,8] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[4,7,3,2,1,6,5,8] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,3,5,6,2,8] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,7,1,4,3,6,2,8] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,7,1,5,4,8] => [1,6,5,2,3,4,7,8] => [4,5,6,3,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[6,1,3,4,5,2,7,8] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,5,1,3,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,3,6,4,2,1,8] => [1,7,2,5,4,6,3,8] => [3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,3,6,5,8,4,7,1] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,6,7,5,2,4,8] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,8,5,7,1,2,3,6] => [1,4,7,3,5,2,8,6] => [6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,4,3,2,6,1,7] => [1,5,2,8,7,3,4,6] => [3,6,7,2,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,7,3,8,2,4] => [1,6,8,4,7,2,3,5] => [6,7,4,8,2,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,5,1,7,8,6,2,4] => [1,3,2,5,8,4,7,6] => [3,2,6,4,8,7,5,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[5,2,4,1,7,6,8,3] => [1,5,7,8,3,4,2,6] => [7,5,6,2,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,2,3,1,6,8,4,5] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,1,8,2,5,6,3,7] => [1,4,2,3,8,7,5,6] => [3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,8,1,6,2,3,4] => [1,5,6,2,7,3,8,4] => [4,6,8,2,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,6,4,2,7,3,8,5] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,5,1,8,6,2,3] => [1,7,2,4,3,5,8,6] => [3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,8,6,7,5,3,2,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,6,8,4,5,2] => [1,2,3,7,5,8,4,6] => [2,3,7,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,5,7,6,4,3,2] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,7,2,6,1,8,3,5] => [1,4,6,8,5,2,7,3] => [6,8,2,5,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,3,4,2,5,7] => [1,6,2,8,7,5,4,3] => [3,8,7,6,2,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,1,3,6,4,8] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,3,1,2,6,8,7] => [1,4,2,5,3,6,7,8] => [3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[2,4,3,6,7,1,5,8] => [1,2,4,6,3,5,7,8] => [2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,3,5,2,1,6,4,8] => [1,7,4,2,3,5,6,8] => [4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,6,5,2,1,3,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,6,1,4,3,7,8] => [1,2,5,4,3,6,7,8] => [2,5,4,3,6,7,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[1,7,8,2,4,6,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,8,1,3,6,2] => [1,7,6,3,4,8,2,5] => [7,4,5,8,3,2,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,8,2,7,3,4,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,7,3,4,2,5] => [1,2,6,4,7,3,8,5] => [2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,1,3,6,7,8,5,2] => [1,4,6,8,2,3,5,7] => [5,6,2,7,3,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[7,4,1,5,6,8,3,2] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,1,5,6,2,3,7] => [1,4,5,6,2,8,7,3] => [5,8,2,3,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,7,4,5,6,8,3,2] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,4,5,6,8,3,1] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,7,8,3,1,6,5] => [1,2,4,8,5,3,7,6] => [2,6,3,5,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,6,4,2,3,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[4,6,5,8,2,3,7,1] => [1,4,8,2,6,3,5,7] => [4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,2,3,8,7,1,4,6] => [1,5,7,4,8,6,2,3] => [7,8,4,2,6,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,3,2,6,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,7,3,2,6,5,1,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,8,7,2,1,5,6,3] => [1,4,2,8,3,7,6,5] => [3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[7,3,8,4,5,1,2,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,4,6,1,3,5,2] => [1,7,5,2,8,3,4,6] => [4,6,7,3,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,8,6,2,1,4,3,5] => [1,7,3,6,4,2,8,5] => [6,3,5,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,8,6,3,1,2,5,4] => [1,7,5,2,8,4,3,6] => [4,7,6,3,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,4,7,1,3,6] => [1,5,7,3,8,6,2,4] => [7,4,8,2,6,3,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[7,3,1,2,8,6,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,1,3,2,4,5,6] => [1,8,6,4,3,2,7,5] => [6,5,4,8,3,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,6,5,7,2,8] => [1,4,6,7,2,3,5,8] => [5,6,2,7,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,3,5,7,2,8,6] => [1,4,5,7,8,6,2,3] => [7,8,2,3,6,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,5,8,6,7,2,4] => [1,3,5,6,7,2,4,8] => [6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,8,2,1,4,5,7,3] => [1,6,5,4,2,8,3,7] => [5,7,4,3,2,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,3,1,2,6,5,7,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,2,8,7,4,3] => [1,6,7,4,2,3,5,8] => [5,6,4,7,2,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,8,6,4,1,5,7,2] => [1,3,6,5,2,8,4,7] => [5,2,7,4,3,8,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[3,8,6,4,5,1,7,2] => [1,3,6,2,8,4,5,7] => [4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,6,3,5,7,1,2,8] => [1,4,5,7,2,6,3,8] => [5,7,2,3,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,5,6,1,2,7] => [1,4,5,6,2,8,7,3] => [5,8,2,3,4,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[4,7,2,5,6,8,1,3] => [1,4,5,6,8,3,2,7] => [7,6,2,3,4,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,6,5,8,3] => [1,2,4,3,7,8,5,6] => [2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,7,8,3,5,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,2,8,5,4,3] => [1,2,7,4,3,6,5,8] => [2,5,4,7,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,1,3,4,8,2,7,6] => [1,5,8,6,2,3,4,7] => [5,6,7,2,4,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[8,7,3,6,1,4,2,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,5,1,8,3,4,7,2] => [1,6,4,8,2,5,3,7] => [5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,5,6,1,3,4,8,2] => [1,7,8,2,5,3,6,4] => [4,6,8,5,7,2,3,1] => {{1,3,4,5,7,8},{2,6}} => 0
[3,2,7,5,8,6,4,1] => [1,3,7,4,5,8,2,6] => [7,2,4,5,8,3,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,5,3,1,2,6,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,8,7,3,5,2,6,4] => [1,2,8,4,3,7,6,5] => [2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,7,8,5,2,1,3] => [1,4,8,3,7,2,6,5] => [6,4,2,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,2,1,8,6,5,3] => [1,4,2,7,5,8,3,6] => [3,7,2,5,8,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,1,8,6,5,4] => [1,7,5,8,4,2,3,6] => [6,7,5,3,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,8,3,5,6,1,4] => [1,7,2,3,8,4,5,6] => [3,4,6,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,4,8,5,2,6] => [1,2,7,3,4,5,8,6] => [2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,2,8,4,5,3,1,6] => [1,7,2,3,8,6,4,5] => [3,4,7,8,6,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,4,2,5,7,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,4,5,8,1,3,6,2] => [1,7,6,3,5,2,4,8] => [6,4,7,5,3,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,6,5,8,2,4,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,2,6,3,1,7,4] => [1,5,3,2,8,4,6,7] => [4,3,6,2,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[2,7,3,5,4,1,8,6] => [1,2,7,8,6,3,4,5] => [2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,1,4,8,5,3,7,6] => [1,2,3,4,8,6,5,7] => [2,3,4,7,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,8,3,4,7,2,6] => [1,2,5,4,3,8,6,7] => [2,5,4,3,7,8,6,1] => {{1,2,5,6,7,8},{3,4}} => 0
[4,1,3,7,2,8,6,5] => [1,4,7,6,8,5,2,3] => [7,8,2,6,4,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,3,1,7,2,8,5] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,2,8,7,4,5] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[7,4,5,1,2,6,8,3] => [1,7,8,3,5,2,4,6] => [6,4,7,5,8,2,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[4,7,6,1,5,8,2,3] => [1,4,2,7,3,6,8,5] => [3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,7,8,4,1,5,2] => [1,3,7,5,4,8,2,6] => [7,2,5,4,8,3,6,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[1,6,5,8,7,3,2,4] => [1,2,6,3,5,7,4,8] => [2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,4,8,7,2,1,3] => [1,5,7,2,6,3,4,8] => [4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,8,6,5,3,1,4] => [1,7,2,3,8,4,6,5] => [3,4,6,8,7,2,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[3,6,1,4,5,2,7,8] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,3,6,5,7,2,4,8] => [1,2,3,6,4,5,7,8] => [2,3,5,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,2,5,6,4,3,8] => [1,2,7,3,4,5,6,8] => [2,4,5,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,5,4,3,7,2] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,5,3,2,7,4] => [1,2,6,3,8,4,5,7] => [2,4,6,7,3,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,7,6,8,5,2,4] => [1,2,3,7,4,6,5,8] => [2,3,5,7,6,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,1,2,3,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,3,5,4,1,6,2,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,7,5,6,1,4,2,8] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,1,3,7,8,2,6,4] => [1,5,8,4,7,6,2,3] => [7,8,4,2,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[4,1,3,6,5,8,2,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,1,5,8,2,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,3,5,7,2,8,4] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,8,6,5,3,1] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,2,6,4,3,1] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,3,1,5,8,6,2] => [1,7,6,8,2,4,3,5] => [5,7,6,8,3,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,2,6,7,3,1] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,2,1,8,5,6,4] => [1,7,6,5,8,4,2,3] => [7,8,6,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,1,3,8,2,7,4,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,1,6,3,2,4,7,5] => [1,8,5,2,3,6,4,7] => [4,5,7,3,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,7,4,6,1,3,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,7,6,2,3,1,5,8] => [1,4,2,7,5,3,6,8] => [3,6,2,5,7,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,6,1,3,2,8,5] => [1,4,2,7,8,5,3,6] => [3,7,2,6,8,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,6,3,1,8,5,2,4] => [1,7,2,6,5,8,4,3] => [3,8,7,5,4,2,6,1] => {{1,2,3,6,7,8},{4,5}} => 0
[7,2,1,3,6,8,5,4] => [1,7,5,6,8,4,3,2] => [8,7,6,3,4,2,5,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,5,2,6,8,7,4,3] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,3,7,5,2,6,4] => [1,2,8,4,7,6,3,5] => [2,7,4,8,6,5,3,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,1,3,6,5,2,7,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,7,1,5,2,6,8,3] => [1,4,5,2,7,8,3,6] => [4,7,2,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,7,5,2,1,4,3] => [1,8,3,7,4,5,2,6] => [7,3,5,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,1,6,2,3,8,7,5] => [1,4,2,3,6,8,5,7] => [3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,5,4,8,3,2,6,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[1,5,7,6,3,8,2,4] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,7,8,3,5,4,6] => [1,2,3,7,4,8,6,5] => [2,3,5,8,7,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,8,6,2,1,5,3] => [1,4,6,2,7,5,3,8] => [4,7,2,6,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,3,2,1,7,5] => [1,4,3,6,2,8,5,7] => [5,3,2,7,4,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[5,1,4,7,6,8,3,2] => [1,5,6,8,2,3,4,7] => [5,6,7,2,3,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,7,1,5,4,8,2] => [1,3,7,8,2,6,4,5] => [5,2,7,8,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,6,5,2,8,7,4,3] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,1,7,2,5,8,3,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,2,5,3,1,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,1,5,4,8,7,2] => [1,6,8,2,3,4,5,7] => [4,5,6,7,2,8,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,8,7,1,6,2,4] => [1,5,2,3,8,4,7,6] => [3,4,6,2,8,7,5,1] => {{1,3,5,6,7,8},{2,4}} => 0
[8,5,1,6,4,3,2,7] => [1,8,7,2,5,4,6,3] => [4,8,6,5,7,3,2,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,7,2,8,5,4,6,3] => [1,2,7,6,4,8,3,5] => [2,7,5,8,4,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,7,8,6,1,5,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,6,1,8,7,2,3,4] => [1,5,7,3,2,6,4,8] => [5,4,7,2,6,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,8,7,2,5,6,4,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,1,5,8,2,6] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,2,7,1,5,8,3,6] => [1,4,2,3,7,5,6,8] => [3,4,2,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,2,5,7,3,4,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,8,3,7,6,2,5] => [1,2,4,3,8,5,7,6] => [2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,5,3,6,8,4,7,2] => [1,2,5,8,3,4,6,7] => [2,5,6,3,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,4,7,5,6,8,2,1] => [1,3,7,2,4,5,6,8] => [4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,4,2,3,6,5,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,3,1,7,5,8] => [1,2,6,7,5,3,4,8] => [2,6,7,5,3,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,5,7,2,8,4,6,3] => [1,2,5,8,3,7,6,4] => [2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[4,6,5,1,2,3,7,8] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,5,2,6,3,4] => [1,2,8,4,5,3,7,6] => [2,6,4,5,8,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,4,5,6,2,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,4,7,2,3,6,5,8] => [1,2,4,3,7,5,6,8] => [2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,2,6,5,8,3,4,7] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,7,2,1,3,6,4,8] => [1,5,3,2,7,4,6,8] => [4,3,6,2,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,5,2,3,1,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,4,5,3,1,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,2,1,7,3,6] => [1,4,2,5,3,8,6,7] => [3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[6,3,1,8,2,7,5,4] => [1,6,7,5,2,3,4,8] => [5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,8,2,1,3,6,4,7] => [1,5,3,2,8,7,4,6] => [4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,8,3,5,2,6,4,7] => [1,2,8,7,4,5,3,6] => [2,7,5,6,8,4,3,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,3,8,7,4,5,1,6] => [1,2,3,8,6,5,4,7] => [2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,5,6,4,8,1,3] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[7,4,3,1,6,5,2,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,2,4,8,7,5,6] => [1,3,2,4,5,8,6,7] => [3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,4,1,2,3,7,8,6] => [1,5,3,2,4,6,7,8] => [4,3,5,2,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,8,6,2,1,3] => [1,5,6,2,4,8,3,7] => [4,7,5,2,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,2,4,1,3,7,5,6] => [1,8,6,7,5,3,4,2] => [8,6,7,5,3,4,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,1,8,2,3,6,4,5] => [1,7,4,2,3,8,5,6] => [4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,6,1,3,2,7,5,4] => [1,8,4,3,2,6,7,5] => [5,4,3,8,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,2,8,5,7,1,6,3] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,8,7,4,5,3,2,1] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,8,5,1,4,6,2,3] => [1,7,2,8,3,5,4,6] => [3,5,7,6,8,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,4,6,3,1,5,7,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,1,4,5,6,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,4,7,6,1,8,2] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,1,5,7,2,3] => [1,4,2,6,7,3,8,5] => [3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,1,3,6,4,8,7,5] => [1,2,3,4,6,8,5,7] => [2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,5,8,7,3,1,4,6] => [1,2,5,3,8,6,4,7] => [2,4,7,3,6,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,1,8,3,6,4,7] => [1,2,5,3,4,8,7,6] => [2,4,5,3,8,7,6,1] => {{1,2,3,4,5,8},{6,7}} => 0
[8,7,5,6,4,1,3,2] => [1,8,2,7,3,5,4,6] => [3,5,7,6,8,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[5,1,4,8,2,3,7,6] => [1,5,2,3,4,8,6,7] => [3,4,5,2,7,8,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[1,2,7,5,6,3,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[4,8,1,2,3,6,5,7] => [1,4,2,8,7,5,3,6] => [3,7,2,6,8,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,3,8,7,1,4,5] => [1,6,2,3,4,8,5,7] => [3,4,5,7,2,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,6,4,7,5,1] => [1,8,2,3,4,6,7,5] => [3,4,5,8,6,7,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,3,6,4,8,1,5] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,5,1,3,2,6,8,7] => [1,4,3,2,5,6,7,8] => [4,3,2,5,6,7,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,4,7,5,1,3,2,8] => [1,6,3,7,2,4,5,8] => [5,3,6,7,2,4,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,1,6,2,7,8,4] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,7,2,5,4,1,3,8] => [1,6,2,7,3,4,5,8] => [3,5,6,7,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,6,8,2,4,5,3,1] => [1,7,3,8,2,6,5,4] => [5,3,8,7,6,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,8,5,4,7,1,2,6] => [1,3,5,7,2,8,6,4] => [5,2,8,3,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[7,3,2,6,5,8,1,4] => [1,7,2,3,4,6,8,5] => [3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[3,6,2,5,7,4,8,1] => [1,3,2,6,4,5,7,8] => [3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,7,1,5,8,6,4,3] => [1,2,7,4,5,8,3,6] => [2,7,4,5,8,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,3,6,5,8,2] => [1,7,8,2,3,4,5,6] => [4,5,6,7,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,8,5,4,7,3,2] => [1,6,7,3,8,2,4,5] => [6,4,7,8,2,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,6,8,7,4,1] => [1,5,8,2,3,4,6,7] => [4,5,6,2,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,8,6,3,5,1,2] => [1,7,2,4,6,5,3,8] => [3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,3,4,7,8,6,1,5] => [1,2,3,4,7,5,8,6] => [2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,6,7,3,8,1,4] => [1,2,5,3,6,8,4,7] => [2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,7,2,8,5,3,6] => [1,4,2,3,7,5,8,6] => [3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,5,6,3,7,4,8,1] => [1,2,5,7,8,3,6,4] => [2,6,8,3,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,8,4,7,6,2,5,3] => [1,2,8,3,4,7,5,6] => [2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[8,3,6,2,1,5,4,7] => [1,8,7,4,2,3,6,5] => [5,6,4,8,7,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,6,7,5,3,1,4] => [1,2,8,4,7,3,6,5] => [2,6,4,8,7,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,2,6,3,1,8] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,5,3,1,4,7] => [1,8,7,4,5,3,2,6] => [7,6,4,5,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,5,4,3,6,1,8,2] => [1,7,8,2,5,6,3,4] => [4,7,8,5,6,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,6,8,4,3,7,2,1] => [1,5,3,8,2,6,7,4] => [5,3,8,2,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,1,5,3,8,6] => [1,7,8,6,3,4,2,5] => [7,5,6,8,4,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,2,1,7,4,6,8,5] => [1,3,2,4,7,8,5,6] => [3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[6,4,7,2,1,3,8,5] => [1,6,3,7,8,5,2,4] => [7,3,8,6,2,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[6,7,3,1,2,4,8,5] => [1,6,4,2,7,8,5,3] => [4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,8,6,7,2,5,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,7,4,6,8,3,5,1] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,4,7,6,2,1,8] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,8,5,7,2,6,3] => [1,4,5,7,6,2,3,8] => [6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,8,2,4,3,5,1] => [1,7,5,4,2,6,3,8] => [5,7,4,3,6,2,8,1] => {{1,2,5,6,7,8},{3,4}} => 0
[3,5,8,4,6,7,1,2] => [1,3,8,2,5,6,7,4] => [4,2,8,5,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[1,5,7,8,4,6,3,2] => [1,2,5,4,8,3,7,6] => [2,6,4,3,8,7,5,1] => {{1,2,5,6,7,8},{3,4}} => 0
[7,3,2,5,1,6,8,4] => [1,7,8,4,5,2,3,6] => [6,7,4,5,8,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,4,7,6,2,1,8,3] => [1,5,2,4,6,3,7,8] => [3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,5,2,6,7,3,8,1] => [1,4,6,3,2,5,7,8] => [5,4,2,6,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,1,8,5,3,2,6] => [1,4,8,6,3,2,7,5] => [6,5,2,8,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,1,2,5,7,8,3] => [1,6,7,8,3,2,4,5] => [6,5,7,8,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,3,1,4,7,6,2,8] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,4,5,2,7,1,3,8] => [1,6,2,4,3,5,7,8] => [3,5,4,6,2,7,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[7,4,3,5,1,6,2,8] => [1,7,2,4,5,3,6,8] => [3,6,4,5,7,2,8,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,1,2,7,6,3,4,8] => [1,5,6,3,2,4,7,8] => [5,4,6,2,3,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[5,6,1,7,2,4,3,8] => [1,5,2,6,4,7,3,8] => [3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,6,5,7,1,3,4,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,7,1,5,6,4,8] => [1,2,3,7,4,5,6,8] => [2,3,5,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[2,6,5,3,4,1,7,8] => [1,2,6,3,5,4,7,8] => [2,4,6,5,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,1,5,4,2,7,8,3] => [1,6,7,8,3,5,2,4] => [7,5,8,6,2,3,4,1] => {{1,3,4,6,7,8},{2,5}} => 0
[5,6,4,1,7,2,8,3] => [1,5,7,8,3,4,2,6] => [7,5,6,2,8,3,4,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,6,4,5,7,3,2,8] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,6,4,5,7,2,8,3] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,7,5,6,4,8,3,2] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[1,5,6,7,3,2,4,8] => [1,2,5,3,6,4,7,8] => [2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,2,1,4,3,7,5,6] => [1,8,6,7,5,3,2,4] => [7,6,8,5,3,4,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,8,2,1,5,3,4] => [1,7,3,8,4,2,6,5] => [6,3,5,8,7,2,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,6,4,8,5,3,1,2] => [1,7,2,6,3,4,8,5] => [3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[1,3,8,6,5,2,7,4] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[2,7,3,8,5,6,4,1] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,1,8,3,2,6,4] => [1,5,3,2,7,6,4,8] => [4,3,7,2,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[2,1,3,8,6,4,7,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[5,8,4,3,7,6,2,1] => [1,5,7,2,8,3,4,6] => [4,6,7,2,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,6,4,2,1,7,3] => [1,5,2,8,3,6,4,7] => [3,5,7,2,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,6,1,5,3,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,5,8,7,1,3,2] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,3,8,7,2,5,1] => [1,6,2,4,8,3,5,7] => [3,6,4,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,4,5,7,1,8,3] => [1,2,6,3,4,5,7,8] => [2,4,5,6,3,7,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[3,4,6,5,2,8,1,7] => [1,3,6,8,7,2,4,5] => [6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,1,4,6,2,7,8,3] => [1,5,2,3,4,6,7,8] => [3,4,5,2,6,7,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[3,1,5,8,2,6,7,4] => [1,3,5,2,4,8,6,7] => [4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,1,3,7,5,8,4,6] => [1,2,3,4,7,5,6,8] => [2,3,4,6,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,4,5,7,1,8,3] => [1,6,2,3,4,5,7,8] => [3,4,5,6,2,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,3,8,7,1,4,6,5] => [1,2,3,8,5,4,7,6] => [2,3,6,5,8,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,6,8,2,3,1,7,5] => [1,4,2,6,3,8,5,7] => [3,5,2,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,3,2,7,6,1,8,4] => [1,5,6,2,3,4,7,8] => [4,5,6,2,3,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,8,7,6,2,1,3] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,1,2,3,8,5] => [1,6,3,7,8,5,2,4] => [7,3,8,6,2,4,5,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,3,8,2,5,6,4,7] => [1,2,3,8,7,4,5,6] => [2,3,6,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,3,2,7,4,6,8,5] => [1,2,3,4,7,8,5,6] => [2,3,4,7,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,3,8,4,6,2,7,5] => [1,2,3,8,5,6,4,7] => [2,3,7,5,6,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,5,7,6,3,8,4,1] => [1,2,5,3,7,4,6,8] => [2,4,6,3,7,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,5,1,6,8,2,3] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,8,4,2,6,3,5] => [1,2,7,3,8,5,4,6] => [2,4,7,6,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,1,5,3,7,8,4] => [1,6,7,8,4,5,3,2] => [8,7,5,6,2,3,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,1,7,8,3,6,5,2] => [1,4,8,2,3,7,5,6] => [4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,8,4,3,5,1,7,6] => [1,2,8,6,3,4,5,7] => [2,5,6,7,4,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,4,7,6,8,1,3] => [1,5,6,8,3,4,7,2] => [8,5,6,2,3,7,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[7,2,6,4,1,5,3,8] => [1,7,3,6,5,2,4,8] => [6,3,7,5,4,2,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,2,6,5,8,3,7,4] => [1,2,3,6,4,5,8,7] => [2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,3,5,6,1,4,2,8] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,1,6,4,2,3] => [1,5,6,4,2,8,3,7] => [5,7,4,2,3,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,6,5,8,4,3] => [1,2,7,4,6,8,3,5] => [2,7,4,8,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[2,7,1,4,8,6,5,3] => [1,2,7,5,8,3,4,6] => [2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => 1
[8,3,2,6,5,1,7,4] => [1,8,4,6,2,3,5,7] => [5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,6,8,4,7,1,3,5] => [1,2,6,3,8,5,7,4] => [2,4,8,6,3,7,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,2,8,6,3,1,4,7] => [1,5,3,8,7,4,6,2] => [8,3,6,2,7,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[2,8,5,6,4,1,7,3] => [1,2,8,3,5,4,6,7] => [2,4,6,5,7,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,1,6,5,2,3,8,7] => [1,4,5,2,3,6,7,8] => [4,5,2,3,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,5,7,3,1] => [1,4,2,8,3,6,7,5] => [3,5,2,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,5,3,2,7,4,8] => [1,2,6,7,4,3,5,8] => [2,6,5,7,3,4,8,1] => {{1,2,4,6,7,8},{3,5}} => 0
[8,5,6,2,4,7,3,1] => [1,8,2,5,4,3,6,7] => [3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,3,1,4,7,8,2,6] => [1,5,7,2,3,4,6,8] => [4,5,6,2,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[8,6,1,3,5,7,4,2] => [1,8,2,6,7,4,3,5] => [3,7,6,8,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[5,2,4,1,6,8,3,7] => [1,5,6,8,7,3,4,2] => [8,6,7,2,3,5,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[4,7,1,2,5,6,3,8] => [1,4,2,7,3,5,6,8] => [3,5,2,6,7,4,8,1] => {{1,2,3,5,7,8},{4,6}} => 0
[7,4,1,2,5,6,3,8] => [1,7,3,2,4,5,6,8] => [4,3,5,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,8,1,6,3,2] => [1,5,2,7,3,4,8,6] => [3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[4,3,1,2,5,7,6,8] => [1,4,2,3,5,6,7,8] => [3,4,2,5,6,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,2,4,7,8,5,6,3] => [1,2,3,4,7,6,5,8] => [2,3,4,7,6,5,8,1] => {{1,2,3,4,7,8},{5,6}} => 0
[8,2,5,3,7,6,4,1] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,1,6,5,8,7,3,4] => [1,2,3,6,7,4,5,8] => [2,3,6,7,4,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,1,8,4,2,7,6,5] => [1,3,8,5,2,4,6,7] => [5,2,6,4,7,8,3,1] => {{1,3,5,6,7,8},{2},{4}} => 2
[8,2,3,1,7,6,4,5] => [1,8,5,7,4,2,3,6] => [6,7,5,3,8,4,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,7,2,3,1,6,4,5] => [1,8,5,2,7,4,3,6] => [4,7,6,3,8,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[4,6,3,2,5,1,8,7] => [1,4,2,6,3,5,7,8] => [3,5,2,6,4,7,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,2,6,5,7,1] => [1,4,2,8,3,5,6,7] => [3,5,2,6,7,8,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,3,5,6,1,8,2,4] => [1,7,2,3,5,4,6,8] => [3,4,6,5,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,4,3,6,2,1,8] => [1,5,6,2,7,3,4,8] => [4,6,7,2,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,2,4,6,8,1,5,3] => [1,7,5,8,3,4,6,2] => [8,5,6,3,7,2,4,1] => {{1,8},{2,3,4,5,6,7}} => 0
[8,5,6,1,3,2,7,4] => [1,8,4,2,5,3,6,7] => [4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => 1
[1,3,6,8,7,4,5,2] => [1,2,3,6,4,8,5,7] => [2,3,5,7,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,5,2,3,6,8,1] => [1,4,2,7,8,3,5,6] => [3,6,2,7,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,2,5,7,3,1,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,5,2,3,6,1,7] => [1,4,2,8,7,3,5,6] => [3,6,2,7,8,5,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[3,7,5,4,2,8,1,6] => [1,3,5,2,7,4,6,8] => [4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => 1
[4,7,1,3,2,8,5,6] => [1,4,3,2,7,5,6,8] => [4,3,2,6,7,5,8,1] => {{1,4,5,6,7,8},{2,3}} => 0
[6,3,1,5,4,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[3,4,8,5,7,2,6,1] => [1,3,8,2,4,5,7,6] => [4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[8,2,6,3,1,5,4,7] => [1,8,7,4,3,6,5,2] => [8,5,4,7,6,3,2,1] => {{1,8},{2,3,4,5,6,7}} => 0
[1,7,5,8,6,2,4,3] => [1,2,7,4,8,3,5,6] => [2,6,4,7,8,3,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,8,7,5,4,6,2,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,7,4,5,3,2] => [1,8,2,3,6,5,4,7] => [3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[6,4,8,1,5,3,7,2] => [1,6,3,8,2,4,5,7] => [5,3,6,7,2,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[4,1,3,7,6,5,2,8] => [1,4,7,2,3,5,6,8] => [4,5,2,6,7,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,2,7,1,5,8,3,4] => [1,6,8,4,2,3,7,5] => [5,6,4,8,2,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,6,2,5,7,4,3] => [1,8,3,6,7,4,2,5] => [7,3,6,8,4,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,7,1,5,3,6,8,4] => [1,2,7,8,4,5,3,6] => [2,7,5,6,8,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,7,2,3,5,8,1,4] => [1,6,8,4,3,2,7,5] => [6,5,4,8,2,7,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[2,6,7,5,3,8,1,4] => [1,2,6,8,4,5,3,7] => [2,7,5,6,3,8,4,1] => {{1,2,4,6,7,8},{3,5}} => 0
[4,5,2,6,8,3,1,7] => [1,4,6,3,2,5,8,7] => [5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[7,5,8,2,4,3,6,1] => [1,7,6,3,8,2,5,4] => [6,4,8,7,3,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,3,4,6,2,7] => [1,8,7,2,3,5,4,6] => [4,5,7,6,8,3,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,8,7,2,4,3,6,1] => [1,5,4,2,8,3,7,6] => [4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[7,8,2,3,5,4,6,1] => [1,7,6,4,3,2,8,5] => [6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[8,3,5,1,7,6,4,2] => [1,8,2,3,5,7,4,6] => [3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,4,1,5,7,8,2,3] => [1,6,8,3,2,4,5,7] => [5,4,6,7,2,8,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,7,2,6,1,4,3,5] => [1,8,5,2,7,3,4,6] => [4,6,7,3,8,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,2,5,3,8,4] => [1,2,7,8,4,3,6,5] => [2,6,5,8,7,3,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,8,5,1,4,3,6,7] => [1,2,8,7,6,3,5,4] => [2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,6,3,5,4,8,2,1] => [1,7,2,6,8,3,4,5] => [3,6,7,8,4,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[5,1,7,3,2,6,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,8,1,5,7,3,2,4] => [1,6,3,2,8,4,5,7] => [4,3,6,7,2,8,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,8,7,2,5,4,3] => [1,2,6,5,3,8,4,7] => [2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[3,1,8,4,5,2,7,6] => [1,3,8,6,2,4,5,7] => [5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => 1
[2,3,7,6,1,8,4,5] => [1,2,3,7,4,6,8,5] => [2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[5,8,4,2,1,3,7,6] => [1,5,2,8,6,3,4,7] => [3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => 1
[8,4,7,5,2,3,1,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,7,4,5,3,1,6] => [1,8,6,3,7,2,4,5] => [6,4,7,8,3,5,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,7,4,5,3,1,2] => [1,6,3,7,2,8,4,5] => [5,3,7,8,2,4,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,6,2,5,7,1,3] => [1,4,2,8,3,6,7,5] => [3,5,2,8,6,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,8,1,2,4,7,3,5] => [1,6,7,3,2,8,5,4] => [5,4,8,7,2,3,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,5,1,3,8,7,2,6] => [1,4,3,2,5,8,6,7] => [4,3,2,5,7,8,6,1] => {{1,4,5,6,7,8},{2,3}} => 0
[7,4,5,8,6,3,2,1] => [1,7,2,4,8,3,5,6] => [3,6,4,7,8,2,5,1] => {{1,3,4,5,7,8},{2,6}} => 0
[7,4,1,3,6,8,2,5] => [1,7,2,4,3,5,6,8] => [3,5,4,6,7,2,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,2,8,7,3,4,5] => [1,2,6,3,4,8,5,7] => [2,4,5,7,3,8,6,1] => {{1,2,4,6,7,8},{3,5}} => 0
[1,4,5,7,3,6,8,2] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,6,3,5,1,7,2] => [1,8,2,4,3,6,5,7] => [3,5,4,7,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,4,5,7,1,6,8,3] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[8,4,2,6,7,3,5,1] => [1,8,2,4,6,3,5,7] => [3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => 1
[4,1,5,7,8,6,2,3] => [1,4,7,2,3,5,8,6] => [4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => 1
[2,8,5,7,6,3,4,1] => [1,2,8,3,5,6,4,7] => [2,4,7,5,6,8,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,8,1,4,5,6,2,3] => [1,7,2,8,3,4,5,6] => [3,5,6,7,8,2,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[1,2,6,7,8,3,5,4] => [1,2,3,6,4,7,5,8] => [2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[1,2,4,8,6,7,3,5] => [1,2,3,4,8,5,6,7] => [2,3,4,6,7,8,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[7,4,8,3,5,6,2,1] => [1,7,2,4,3,8,5,6] => [3,5,4,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,6,1,4,7,5,8,3] => [1,2,6,5,7,8,3,4] => [2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => 1
[5,2,7,3,1,6,8,4] => [1,5,2,3,7,8,4,6] => [3,4,7,2,8,5,6,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,7,2,1,3,4,8,5] => [1,6,4,2,7,8,5,3] => [4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => 1
[2,4,5,8,3,6,7,1] => [1,2,4,8,3,5,6,7] => [2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => 1
[4,5,8,7,6,3,1,2] => [1,4,7,2,5,6,3,8] => [4,7,2,5,6,3,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,1,5,7,6,4,3,2] => [1,8,2,3,5,6,4,7] => [3,4,7,5,6,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,6,3,7,8,4,2,5] => [1,2,6,4,7,3,5,8] => [2,6,4,7,3,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,7,3,8,5,6,2,1] => [1,4,8,2,7,3,5,6] => [4,6,2,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,4,8,5,6,3,2] => [1,7,3,4,8,2,5,6] => [6,3,4,7,8,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,4,2,8,5,6,3,1] => [1,7,3,2,4,8,5,6] => [4,3,5,7,8,2,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[2,1,3,8,6,4,5,7] => [1,2,3,4,8,7,5,6] => [2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => 1
[6,1,4,3,5,8,2,7] => [1,6,8,7,2,3,4,5] => [5,6,7,8,2,4,3,1] => {{1,2,4,5,6,8},{3,7}} => 0
[7,1,5,4,6,3,8,2] => [1,7,8,2,3,5,6,4] => [4,5,8,6,7,2,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,4,7,8,3,5,1,2] => [1,6,5,3,7,2,4,8] => [6,4,7,3,2,5,8,1] => {{1,2,3,4,5,6,7,8}} => 0
[7,1,6,4,3,8,5,2] => [1,7,5,3,6,8,2,4] => [7,4,8,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[7,2,6,4,3,8,5,1] => [1,7,5,3,6,8,2,4] => [7,4,8,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[1,7,5,4,3,8,2,6] => [1,2,7,3,5,4,6,8] => [2,4,6,5,7,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[4,5,3,8,7,1,2,6] => [1,4,8,6,2,5,7,3] => [5,8,2,6,4,7,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,2,3,5,4,1,7,6] => [1,8,6,2,3,4,5,7] => [4,5,6,7,3,8,2,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,5,2,4,6,3,1,7] => [1,8,7,2,5,6,3,4] => [4,7,8,5,6,3,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[7,3,4,1,6,8,5,2] => [1,7,5,6,8,2,3,4] => [6,7,8,3,4,2,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[8,6,2,3,5,7,4,1] => [1,8,2,6,7,4,3,5] => [3,7,6,8,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[8,5,1,2,7,4,6,3] => [1,8,3,2,5,7,6,4] => [4,3,8,5,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,2,1,6,8,4,3] => [1,5,6,8,3,2,7,4] => [6,5,8,2,3,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[3,6,1,8,7,4,5,2] => [1,3,2,6,4,8,5,7] => [3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => 1
[5,3,7,4,6,2,1,8] => [1,5,6,2,3,7,4,8] => [4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => 1
[5,7,3,2,1,8,6,4] => [1,5,2,7,6,8,4,3] => [3,8,7,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,7,6,3,2,1,8,4] => [1,5,2,7,8,4,3,6] => [3,7,6,2,8,4,5,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,3,5,4,2,6,8] => [1,2,7,6,3,4,5,8] => [2,5,6,7,4,3,8,1] => {{1,2,4,5,7,8},{3,6}} => 0
[6,8,7,3,2,1,5,4] => [1,6,2,8,4,3,7,5] => [3,6,5,8,2,7,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[5,7,3,6,2,1,8,4] => [1,5,2,7,8,4,6,3] => [3,8,6,2,7,4,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,8,3,6,2,4,7,5] => [1,2,8,5,3,4,6,7] => [2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,8,7,5,6,4,2,3] => [1,2,8,3,7,4,5,6] => [2,4,6,7,8,5,3,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,3,5,6,2,8,1,7] => [1,4,6,8,7,2,3,5] => [6,7,2,8,3,5,4,1] => {{1,2,3,4,5,6,7,8}} => 0
[6,3,5,2,7,8,4,1] => [1,6,8,2,3,5,7,4] => [4,5,8,6,2,7,3,1] => {{1,3,4,6,7,8},{2,5}} => 0
[1,2,6,7,3,5,4,8] => [1,2,3,6,5,4,7,8] => [2,3,6,5,4,7,8,1] => {{1,2,3,6,7,8},{4,5}} => 0
[1,3,8,6,7,4,5,2] => [1,2,3,8,4,6,5,7] => [2,3,5,7,6,8,4,1] => {{1,2,3,5,6,8},{4,7}} => 0
[8,2,5,4,1,7,3,6] => [1,8,6,7,3,5,2,4] => [7,5,8,6,3,4,2,1] => {{1,2,3,5,7,8},{4,6}} => 0
[1,8,6,3,7,4,5,2] => [1,2,8,3,6,4,5,7] => [2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,6,2,8,7,4,3,1] => [1,5,7,3,2,6,4,8] => [5,4,7,2,6,3,8,1] => {{1,3,5,6,7,8},{2,4}} => 0
[6,1,2,4,7,5,3,8] => [1,6,5,7,3,2,4,8] => [6,5,7,3,2,4,8,1] => {{1,3,4,6,7,8},{2,5}} => 0
[8,3,1,4,6,7,2,5] => [1,8,5,6,7,2,3,4] => [6,7,8,3,4,5,2,1] => {{1,3,4,5,6,8},{2,7}} => 0
[1,6,5,7,3,4,8,2] => [1,2,6,4,7,8,3,5] => [2,7,4,8,3,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[1,7,6,8,2,5,4,3] => [1,2,7,4,8,3,6,5] => [2,6,4,8,7,3,5,1] => {{1,2,3,4,6,8},{5,7}} => 0
[1,6,3,4,2,5,8,7] => [1,2,6,5,3,4,7,8] => [2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => 1
[1,5,7,6,2,3,8,4] => [1,2,5,3,7,8,4,6] => [2,4,7,3,8,5,6,1] => {{1,2,3,4,5,6,7,8}} => 0
[4,8,3,1,7,6,2,5] => [1,4,2,8,5,7,3,6] => [3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => 1
[2,4,1,7,5,6,8,3] => [1,2,4,7,8,3,5,6] => [2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => 1
[5,6,1,4,3,8,7,2] => [1,5,3,2,6,8,4,7] => [4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => 1
[5,8,6,4,3,1,7,2] => [1,5,3,6,2,8,4,7] => [5,3,7,2,4,8,6,1] => {{1,2,3,4,5,6,7,8}} => 0
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Description
The number of singleton blocks of a set partition.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Inverse Kreweras complement
Description
Sends the permutation π∈Sn to the permutation cπ−1 where c=(1,…,n) is the long cycle.
Map
to cycle type
Description
Let π=c1…cr a permutation of size n decomposed in its cyclic parts. The associated set partition of [n] then is S=S1∪⋯∪Sr such that Si is the set of integers in the cycle ci.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].