Identifier
Mp00223: Permutations —runsort⟶ Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00115: Set partitions —Kasraoui-Zeng⟶ Set partitions
Images
[1] => [1] => {{1}} => {{1}}
[1,2] => [1,2] => {{1},{2}} => {{1},{2}}
[2,1] => [1,2] => {{1},{2}} => {{1},{2}}
[1,2,3] => [1,2,3] => {{1},{2},{3}} => {{1},{2},{3}}
[1,3,2] => [1,3,2] => {{1},{2,3}} => {{1},{2,3}}
[2,1,3] => [1,3,2] => {{1},{2,3}} => {{1},{2,3}}
[2,3,1] => [1,2,3] => {{1},{2},{3}} => {{1},{2},{3}}
[3,1,2] => [1,2,3] => {{1},{2},{3}} => {{1},{2},{3}}
[3,2,1] => [1,2,3] => {{1},{2},{3}} => {{1},{2},{3}}
[1,2,3,4] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[1,2,4,3] => [1,2,4,3] => {{1},{2},{3,4}} => {{1},{2},{3,4}}
[1,3,2,4] => [1,3,2,4] => {{1},{2,3},{4}} => {{1},{2,3},{4}}
[1,3,4,2] => [1,3,4,2] => {{1},{2,3,4}} => {{1},{2,3,4}}
[1,4,2,3] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[1,4,3,2] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[2,1,3,4] => [1,3,4,2] => {{1},{2,3,4}} => {{1},{2,3,4}}
[2,1,4,3] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[2,3,1,4] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[2,3,4,1] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[2,4,1,3] => [1,3,2,4] => {{1},{2,3},{4}} => {{1},{2,3},{4}}
[2,4,3,1] => [1,2,4,3] => {{1},{2},{3,4}} => {{1},{2},{3,4}}
[3,1,2,4] => [1,2,4,3] => {{1},{2},{3,4}} => {{1},{2},{3,4}}
[3,1,4,2] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[3,2,1,4] => [1,4,2,3] => {{1},{2,3,4}} => {{1},{2,3,4}}
[3,2,4,1] => [1,2,4,3] => {{1},{2},{3,4}} => {{1},{2},{3,4}}
[3,4,1,2] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[3,4,2,1] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[4,1,2,3] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[4,1,3,2] => [1,3,2,4] => {{1},{2,3},{4}} => {{1},{2,3},{4}}
[4,2,1,3] => [1,3,2,4] => {{1},{2,3},{4}} => {{1},{2,3},{4}}
[4,2,3,1] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[4,3,1,2] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[4,3,2,1] => [1,2,3,4] => {{1},{2},{3},{4}} => {{1},{2},{3},{4}}
[1,2,3,4,5] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[1,2,3,5,4] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[1,2,4,3,5] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[1,2,4,5,3] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[1,2,5,3,4] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[1,2,5,4,3] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[1,3,2,4,5] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[1,3,2,5,4] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}}
[1,3,4,2,5] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[1,3,4,5,2] => [1,3,4,5,2] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,3,5,2,4] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,3,5,4,2] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,4,2,3,5] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[1,4,2,5,3] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,4,3,2,5] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,4,3,5,2] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[1,4,5,2,3] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[1,4,5,3,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[1,5,2,3,4] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,5,2,4,3] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[1,5,3,2,4] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[1,5,3,4,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,5,4,2,3] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[1,5,4,3,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,1,3,4,5] => [1,3,4,5,2] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,1,3,5,4] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,1,4,3,5] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[2,1,4,5,3] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[2,1,5,3,4] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,1,5,4,3] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,3,1,4,5] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[2,3,1,5,4] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,3,4,1,5] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,3,4,5,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[2,3,5,1,4] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[2,3,5,4,1] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[2,4,1,3,5] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,4,1,5,3] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[2,4,3,1,5] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[2,4,3,5,1] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[2,4,5,1,3] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[2,4,5,3,1] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[2,5,1,3,4] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[2,5,1,4,3] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,5,3,1,4] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[2,5,3,4,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[2,5,4,1,3] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}}
[2,5,4,3,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,1,2,4,5] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,1,2,5,4] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,1,4,2,5] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,1,4,5,2] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[3,1,5,2,4] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[3,1,5,4,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,2,1,4,5] => [1,4,5,2,3] => {{1},{2,4},{3,5}} => {{1},{2,5},{3,4}}
[3,2,1,5,4] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,2,4,1,5] => [1,5,2,4,3] => {{1},{2,3,5},{4}} => {{1},{2,3,5},{4}}
[3,2,4,5,1] => [1,2,4,5,3] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,2,5,1,4] => [1,4,2,5,3] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,2,5,4,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,4,1,2,5] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,4,1,5,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,4,2,1,5] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[3,4,2,5,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[3,4,5,1,2] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[3,4,5,2,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[3,5,1,2,4] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[3,5,1,4,2] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
>>> Load all 11943 entries. <<<
[3,5,2,1,4] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[3,5,2,4,1] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[3,5,4,1,2] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[3,5,4,2,1] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[4,1,2,3,5] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[4,1,2,5,3] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[4,1,3,2,5] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}}
[4,1,3,5,2] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,1,5,2,3] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,1,5,3,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,2,1,3,5] => [1,3,5,2,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,2,1,5,3] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,2,3,1,5] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,2,3,5,1] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[4,2,5,1,3] => [1,3,2,5,4] => {{1},{2,3},{4,5}} => {{1},{2,3},{4,5}}
[4,2,5,3,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[4,3,1,2,5] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[4,3,1,5,2] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,3,2,1,5] => [1,5,2,3,4] => {{1},{2,3,4,5}} => {{1},{2,3,4,5}}
[4,3,2,5,1] => [1,2,5,3,4] => {{1},{2},{3,4,5}} => {{1},{2},{3,4,5}}
[4,3,5,1,2] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[4,3,5,2,1] => [1,2,3,5,4] => {{1},{2},{3},{4,5}} => {{1},{2},{3},{4,5}}
[4,5,1,2,3] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[4,5,1,3,2] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[4,5,2,1,3] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[4,5,2,3,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[4,5,3,1,2] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[4,5,3,2,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,1,2,3,4] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,1,2,4,3] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[5,1,3,2,4] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[5,1,3,4,2] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,1,4,2,3] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,1,4,3,2] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,2,1,3,4] => [1,3,4,2,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,2,1,4,3] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,2,3,1,4] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,2,3,4,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,2,4,1,3] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[5,2,4,3,1] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[5,3,1,2,4] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[5,3,1,4,2] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,3,2,1,4] => [1,4,2,3,5] => {{1},{2,3,4},{5}} => {{1},{2,3,4},{5}}
[5,3,2,4,1] => [1,2,4,3,5] => {{1},{2},{3,4},{5}} => {{1},{2},{3,4},{5}}
[5,3,4,1,2] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,3,4,2,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,4,1,2,3] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,4,1,3,2] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[5,4,2,1,3] => [1,3,2,4,5] => {{1},{2,3},{4},{5}} => {{1},{2,3},{4},{5}}
[5,4,2,3,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,4,3,1,2] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[5,4,3,2,1] => [1,2,3,4,5] => {{1},{2},{3},{4},{5}} => {{1},{2},{3},{4},{5}}
[1,2,3,4,5,6] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[1,2,3,5,4,6] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[1,2,3,5,6,4] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[1,2,3,6,4,5] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[1,2,3,6,5,4] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[1,2,4,3,5,6] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[1,2,4,3,6,5] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[1,2,4,5,3,6] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[1,2,4,5,6,3] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,4,6,3,5] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,4,6,5,3] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,5,3,4,6] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[1,2,5,3,6,4] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,5,4,3,6] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,5,4,6,3] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[1,2,5,6,3,4] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[1,2,5,6,4,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[1,2,6,3,4,5] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,6,3,5,4] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[1,2,6,4,3,5] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[1,2,6,4,5,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,6,5,3,4] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,2,6,5,4,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[1,3,2,4,5,6] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[1,3,2,4,6,5] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[1,3,2,5,4,6] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[1,3,2,5,6,4] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[1,3,2,6,4,5] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[1,3,2,6,5,4] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[1,3,4,2,5,6] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[1,3,4,2,6,5] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[1,3,4,5,2,6] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,3,4,5,6,2] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,4,6,2,5] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,4,6,5,2] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,5,2,4,6] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,3,5,2,6,4] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,5,4,2,6] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,5,4,6,2] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,3,5,6,2,4] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,3,5,6,4,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,3,6,2,4,5] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,6,2,5,4] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,3,6,4,2,5] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,3,6,4,5,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,6,5,2,4] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,3,6,5,4,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,2,3,5,6] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[1,4,2,3,6,5] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[1,4,2,5,3,6] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,4,2,5,6,3] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,2,6,3,5] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,2,6,5,3] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,3,2,5,6] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,3,2,6,5] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,3,5,2,6] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,3,5,6,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[1,4,3,6,2,5] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,4,3,6,5,2] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[1,4,5,2,3,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[1,4,5,2,6,3] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,4,5,3,2,6] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,4,5,3,6,2] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[1,4,5,6,2,3] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,5,6,3,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,4,6,2,3,5] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,4,6,2,5,3] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[1,4,6,3,2,5] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[1,4,6,3,5,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,4,6,5,2,3] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,4,6,5,3,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[1,5,2,3,4,6] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,5,2,3,6,4] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,2,4,3,6] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[1,5,2,4,6,3] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,5,2,6,3,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,2,6,4,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,3,2,4,6] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,5,3,2,6,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,3,4,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,3,4,6,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,5,3,6,2,4] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[1,5,3,6,4,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,4,2,3,6] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,4,2,6,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,4,3,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[1,5,4,3,6,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,4,6,2,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,5,4,6,3,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[1,5,6,2,3,4] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,6,2,4,3] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[1,5,6,3,2,4] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[1,5,6,3,4,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,6,4,2,3] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,5,6,4,3,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,2,3,4,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,2,3,5,4] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,6,2,4,3,5] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,6,2,4,5,3] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[1,6,2,5,3,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,2,5,4,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,3,2,4,5] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[1,6,3,2,5,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,3,4,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,3,4,5,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,3,5,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,6,3,5,4,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,6,4,2,3,5] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,6,4,2,5,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,4,3,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,4,3,5,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[1,6,4,5,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,4,5,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,5,2,3,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,5,2,4,3] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,6,5,3,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[1,6,5,3,4,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,5,4,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[1,6,5,4,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,3,4,5,6] => [1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,3,4,6,5] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,3,5,4,6] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,1,3,5,6,4] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,1,3,6,4,5] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,3,6,5,4] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,4,3,5,6] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[2,1,4,3,6,5] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[2,1,4,5,3,6] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[2,1,4,5,6,3] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,4,6,3,5] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,1,4,6,5,3] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,1,5,3,4,6] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,1,5,3,6,4] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,5,4,3,6] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,5,4,6,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,1,5,6,3,4] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,5,6,4,3] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,6,3,4,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,6,3,5,4] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,1,6,4,3,5] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,1,6,4,5,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,6,5,3,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,1,6,5,4,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,1,4,5,6] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,1,4,6,5] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,3,1,5,4,6] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,3,1,5,6,4] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,1,6,4,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,1,6,5,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,4,1,5,6] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,4,1,6,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,4,5,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,4,5,6,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[2,3,4,6,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,3,4,6,5,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[2,3,5,1,4,6] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,3,5,1,6,4] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,3,5,4,1,6] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,3,5,4,6,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[2,3,5,6,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[2,3,5,6,4,1] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[2,3,6,1,4,5] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[2,3,6,1,5,4] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,6,4,1,5] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,3,6,4,5,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[2,3,6,5,1,4] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[2,3,6,5,4,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[2,4,1,3,5,6] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,4,1,3,6,5] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,4,1,5,3,6] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[2,4,1,5,6,3] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[2,4,1,6,3,5] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,1,6,5,3] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,3,1,5,6] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[2,4,3,1,6,5] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,3,5,1,6] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,3,5,6,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[2,4,3,6,1,5] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[2,4,3,6,5,1] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[2,4,5,1,3,6] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,4,5,1,6,3] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[2,4,5,3,1,6] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[2,4,5,3,6,1] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[2,4,5,6,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[2,4,5,6,3,1] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,4,6,1,3,5] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,4,6,1,5,3] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,6,3,1,5] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[2,4,6,3,5,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,4,6,5,1,3] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[2,4,6,5,3,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,5,1,3,4,6] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,1,3,6,4] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,5,1,4,3,6] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,5,1,4,6,3] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[2,5,1,6,3,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,1,6,4,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,3,1,4,6] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[2,5,3,1,6,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,3,4,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,3,4,6,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[2,5,3,6,1,4] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,5,3,6,4,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,5,4,1,3,6] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[2,5,4,1,6,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,4,3,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,4,3,6,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,5,4,6,1,3] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[2,5,4,6,3,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[2,5,6,1,3,4] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[2,5,6,1,4,3] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,6,3,1,4] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,5,6,3,4,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[2,5,6,4,1,3] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[2,5,6,4,3,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[2,6,1,3,4,5] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[2,6,1,3,5,4] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,1,4,3,5] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,1,4,5,3] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,6,1,5,3,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,1,5,4,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,3,1,4,5] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[2,6,3,1,5,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,3,4,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,3,4,5,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,6,3,5,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,3,5,4,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[2,6,4,1,3,5] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,4,1,5,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,4,3,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[2,6,4,3,5,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[2,6,4,5,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[2,6,4,5,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,6,5,1,3,4] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[2,6,5,1,4,3] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,5,3,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[2,6,5,3,4,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[2,6,5,4,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[2,6,5,4,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,1,2,4,5,6] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,1,2,4,6,5] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,1,2,5,4,6] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,1,2,5,6,4] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[3,1,2,6,4,5] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,1,2,6,5,4] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,1,4,2,5,6] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,4,2,6,5] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,4,5,2,6] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,1,4,5,6,2] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,4,6,2,5] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[3,1,4,6,5,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,1,5,2,4,6] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,1,5,2,6,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,1,5,4,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,1,5,4,6,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,1,5,6,2,4] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[3,1,5,6,4,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,6,2,4,5] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[3,1,6,2,5,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,6,4,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,6,4,5,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,1,6,5,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,1,6,5,4,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,1,4,5,6] => [1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,1,4,6,5] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,2,1,5,4,6] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,2,1,5,6,4] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,1,6,4,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,1,6,5,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,4,1,5,6] => [1,5,6,2,4,3] => {{1},{2,4,5},{3,6}} => {{1},{2,5},{3,4,6}}
[3,2,4,1,6,5] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,2,4,5,1,6] => [1,6,2,4,5,3] => {{1},{2,3,6},{4},{5}} => {{1},{2,3,6},{4},{5}}
[3,2,4,5,6,1] => [1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,2,4,6,1,5] => [1,5,2,4,6,3] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,2,4,6,5,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,2,5,1,4,6] => [1,4,6,2,5,3] => {{1},{2,4},{3,6},{5}} => {{1},{2,6},{3,4},{5}}
[3,2,5,1,6,4] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,5,4,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,5,4,6,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,2,5,6,1,4] => [1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,5,6,4,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[3,2,6,1,4,5] => [1,4,5,2,6,3] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,2,6,1,5,4] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,2,6,4,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,2,6,4,5,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,2,6,5,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,2,6,5,4,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,4,1,2,5,6] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[3,4,1,2,6,5] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,4,1,5,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,4,1,5,6,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,1,6,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,1,6,5,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,2,1,5,6] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,2,1,6,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,2,5,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,2,5,6,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[3,4,2,6,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[3,4,2,6,5,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,4,5,1,2,6] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,4,5,1,6,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,5,2,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,4,5,2,6,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,4,5,6,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[3,4,5,6,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[3,4,6,1,2,5] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,4,6,1,5,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,4,6,2,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,4,6,2,5,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,4,6,5,1,2] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[3,4,6,5,2,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[3,5,1,2,4,6] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,5,1,2,6,4] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[3,5,1,4,2,6] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,5,1,4,6,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,5,1,6,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,5,1,6,4,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[3,5,2,1,4,6] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[3,5,2,1,6,4] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[3,5,2,4,1,6] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[3,5,2,4,6,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,5,2,6,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,5,2,6,4,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[3,5,4,1,2,6] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[3,5,4,1,6,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[3,5,4,2,1,6] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[3,5,4,2,6,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[3,5,4,6,1,2] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[3,5,4,6,2,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[3,5,6,1,2,4] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[3,5,6,1,4,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[3,5,6,2,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[3,5,6,2,4,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[3,5,6,4,1,2] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[3,5,6,4,2,1] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[3,6,1,2,4,5] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,6,1,2,5,4] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,6,1,4,2,5] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,6,1,4,5,2] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[3,6,1,5,2,4] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[3,6,1,5,4,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,6,2,1,4,5] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[3,6,2,1,5,4] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,6,2,4,1,5] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[3,6,2,4,5,1] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[3,6,2,5,1,4] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[3,6,2,5,4,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,6,4,1,2,5] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,6,4,1,5,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,6,4,2,1,5] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[3,6,4,2,5,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[3,6,4,5,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[3,6,4,5,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[3,6,5,1,2,4] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[3,6,5,1,4,2] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[3,6,5,2,1,4] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[3,6,5,2,4,1] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[3,6,5,4,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[3,6,5,4,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,1,2,3,5,6] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,1,2,3,6,5] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,1,2,5,3,6] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,1,2,5,6,3] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[4,1,2,6,3,5] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[4,1,2,6,5,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,1,3,2,5,6] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,1,3,2,6,5] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,1,3,5,2,6] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,3,5,6,2] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,1,3,6,2,5] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,1,3,6,5,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,5,2,3,6] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,5,2,6,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,1,5,3,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,1,5,3,6,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,5,6,2,3] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,5,6,3,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,6,2,3,5] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,1,6,2,5,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,6,3,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,6,3,5,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,1,6,5,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,1,6,5,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,1,3,5,6] => [1,3,5,6,2,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,2,1,3,6,5] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,1,5,3,6] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,1,5,6,3] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,1,6,3,5] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,2,1,6,5,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,3,1,5,6] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,3,1,6,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,3,5,1,6] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,2,3,5,6,1] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,2,3,6,1,5] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,3,6,5,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,2,5,1,3,6] => [1,3,6,2,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,2,5,1,6,3] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,5,3,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,5,3,6,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,2,5,6,1,3] => [1,3,2,5,6,4] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,2,5,6,3,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[4,2,6,1,3,5] => [1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,2,6,1,5,3] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,2,6,3,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,2,6,3,5,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[4,2,6,5,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,2,6,5,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,3,1,2,5,6] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[4,3,1,2,6,5] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,3,1,5,2,6] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,3,1,5,6,2] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,1,6,2,5] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,1,6,5,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,2,1,5,6] => [1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,2,1,6,5] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,2,5,1,6] => [1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,2,5,6,1] => [1,2,5,6,3,4] => {{1},{2},{3,5},{4,6}} => {{1},{2},{3,6},{4,5}}
[4,3,2,6,1,5] => [1,5,2,6,3,4] => {{1},{2,3,5},{4,6}} => {{1},{2,3,6},{4,5}}
[4,3,2,6,5,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,3,5,1,2,6] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[4,3,5,1,6,2] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,3,5,2,1,6] => [1,6,2,3,5,4] => {{1},{2,3,4,6},{5}} => {{1},{2,3,4,6},{5}}
[4,3,5,2,6,1] => [1,2,6,3,5,4] => {{1},{2},{3,4,6},{5}} => {{1},{2},{3,4,6},{5}}
[4,3,5,6,1,2] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,3,5,6,2,1] => [1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,3,6,1,2,5] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,3,6,1,5,2] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,6,2,1,5] => [1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,3,6,2,5,1] => [1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,3,6,5,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,3,6,5,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,5,1,2,3,6] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,5,1,2,6,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,5,1,3,2,6] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,5,1,3,6,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,1,6,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,1,6,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,2,1,3,6] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,2,1,6,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,2,3,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,2,3,6,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,5,2,6,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[4,5,2,6,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,5,3,1,2,6] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,5,3,1,6,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,3,2,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[4,5,3,2,6,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[4,5,3,6,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,5,3,6,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[4,5,6,1,2,3] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[4,5,6,1,3,2] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[4,5,6,2,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[4,5,6,2,3,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[4,5,6,3,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[4,5,6,3,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[4,6,1,2,3,5] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[4,6,1,2,5,3] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[4,6,1,3,2,5] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[4,6,1,3,5,2] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,1,5,2,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,1,5,3,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,2,1,3,5] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,2,1,5,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,2,3,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,2,3,5,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[4,6,2,5,1,3] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[4,6,2,5,3,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[4,6,3,1,2,5] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[4,6,3,1,5,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,3,2,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[4,6,3,2,5,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[4,6,3,5,1,2] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[4,6,3,5,2,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[4,6,5,1,2,3] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[4,6,5,1,3,2] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[4,6,5,2,1,3] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[4,6,5,2,3,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[4,6,5,3,1,2] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[4,6,5,3,2,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,1,2,3,4,6] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,1,2,3,6,4] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,1,2,4,3,6] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[5,1,2,4,6,3] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,1,2,6,3,4] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,1,2,6,4,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,1,3,2,4,6] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[5,1,3,2,6,4] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[5,1,3,4,2,6] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,1,3,4,6,2] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,3,6,2,4] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,3,6,4,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,4,2,3,6] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,1,4,2,6,3] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,4,3,2,6] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,4,3,6,2] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,1,4,6,2,3] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,1,4,6,3,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,1,6,2,3,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,6,2,4,3] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,1,6,3,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,1,6,3,4,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,6,4,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,1,6,4,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,1,3,4,6] => [1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,1,3,6,4] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,1,4,3,6] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,2,1,4,6,3] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,2,1,6,3,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,1,6,4,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,3,1,4,6] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,2,3,1,6,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,3,4,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,3,4,6,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,2,3,6,1,4] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,2,3,6,4,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,2,4,1,3,6] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,4,1,6,3] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,2,4,3,1,6] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,2,4,3,6,1] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[5,2,4,6,1,3] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[5,2,4,6,3,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,2,6,1,3,4] => [1,3,4,2,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,2,6,1,4,3] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,6,3,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,2,6,3,4,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,2,6,4,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[5,2,6,4,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,1,2,4,6] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,1,2,6,4] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,1,4,2,6] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,1,4,6,2] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,3,1,6,2,4] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,3,1,6,4,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,2,1,4,6] => [1,4,6,2,3,5] => {{1},{2,4},{3,5,6}} => {{1},{2,5,6},{3,4}}
[5,3,2,1,6,4] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,2,4,1,6] => [1,6,2,4,3,5] => {{1},{2,3,5,6},{4}} => {{1},{2,3,5,6},{4}}
[5,3,2,4,6,1] => [1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,2,6,1,4] => [1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,2,6,4,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,4,1,2,6] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,4,1,6,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,4,2,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,3,4,2,6,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,3,4,6,1,2] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,3,4,6,2,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,3,6,1,2,4] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[5,3,6,1,4,2] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,3,6,2,1,4] => [1,4,2,3,6,5] => {{1},{2,3,4},{5,6}} => {{1},{2,3,4},{5,6}}
[5,3,6,2,4,1] => [1,2,4,3,6,5] => {{1},{2},{3,4},{5,6}} => {{1},{2},{3,4},{5,6}}
[5,3,6,4,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,3,6,4,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,4,1,2,3,6] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,4,1,2,6,3] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,4,1,3,2,6] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[5,4,1,3,6,2] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,1,6,2,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,1,6,3,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,2,1,3,6] => [1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,2,1,6,3] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,2,3,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,2,3,6,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,4,2,6,1,3] => [1,3,2,6,4,5] => {{1},{2,3},{4,5,6}} => {{1},{2,3},{4,5,6}}
[5,4,2,6,3,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,4,3,1,2,6] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,4,3,1,6,2] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,3,2,1,6] => [1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => {{1},{2,3,4,5,6}}
[5,4,3,2,6,1] => [1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => {{1},{2},{3,4,5,6}}
[5,4,3,6,1,2] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,4,3,6,2,1] => [1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => {{1},{2},{3},{4,5,6}}
[5,4,6,1,2,3] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,4,6,1,3,2] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[5,4,6,2,1,3] => [1,3,2,4,6,5] => {{1},{2,3},{4},{5,6}} => {{1},{2,3},{4},{5,6}}
[5,4,6,2,3,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,4,6,3,1,2] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,4,6,3,2,1] => [1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => {{1},{2},{3},{4},{5,6}}
[5,6,1,2,3,4] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,1,2,4,3] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[5,6,1,3,2,4] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[5,6,1,3,4,2] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,1,4,2,3] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,1,4,3,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,2,1,3,4] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,2,1,4,3] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,2,3,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,2,3,4,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,2,4,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[5,6,2,4,3,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[5,6,3,1,2,4] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[5,6,3,1,4,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,3,2,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[5,6,3,2,4,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[5,6,3,4,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,3,4,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,4,1,2,3] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,4,1,3,2] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[5,6,4,2,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[5,6,4,2,3,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,4,3,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[5,6,4,3,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,1,2,3,4,5] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,1,2,3,5,4] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,1,2,4,3,5] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,1,2,4,5,3] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,1,2,5,3,4] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,1,2,5,4,3] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,1,3,2,4,5] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,1,3,2,5,4] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[6,1,3,4,2,5] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,1,3,4,5,2] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,3,5,2,4] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,3,5,4,2] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,4,2,3,5] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,1,4,2,5,3] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,4,3,2,5] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,4,3,5,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,1,4,5,2,3] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,1,4,5,3,2] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,1,5,2,3,4] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,5,2,4,3] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,1,5,3,2,4] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,1,5,3,4,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,5,4,2,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,1,5,4,3,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,1,3,4,5] => [1,3,4,5,2,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,1,3,5,4] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,1,4,3,5] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,2,1,4,5,3] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,2,1,5,3,4] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,1,5,4,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,3,1,4,5] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,2,3,1,5,4] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,3,4,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,3,4,5,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,2,3,5,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,2,3,5,4,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,2,4,1,3,5] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,4,1,5,3] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,2,4,3,1,5] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,2,4,3,5,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,2,4,5,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,2,4,5,3,1] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,2,5,1,3,4] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,2,5,1,4,3] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,5,3,1,4] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,2,5,3,4,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,2,5,4,1,3] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[6,2,5,4,3,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,1,2,4,5] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,1,2,5,4] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,1,4,2,5] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,1,4,5,2] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,3,1,5,2,4] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,3,1,5,4,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,2,1,4,5] => [1,4,5,2,3,6] => {{1},{2,4},{3,5},{6}} => {{1},{2,5},{3,4},{6}}
[6,3,2,1,5,4] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,2,4,1,5] => [1,5,2,4,3,6] => {{1},{2,3,5},{4},{6}} => {{1},{2,3,5},{4},{6}}
[6,3,2,4,5,1] => [1,2,4,5,3,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,2,5,1,4] => [1,4,2,5,3,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,2,5,4,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,4,1,2,5] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,4,1,5,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,4,2,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,3,4,2,5,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,3,4,5,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,3,4,5,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,3,5,1,2,4] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,3,5,1,4,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,3,5,2,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,3,5,2,4,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,3,5,4,1,2] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,3,5,4,2,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,4,1,2,3,5] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,4,1,2,5,3] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,4,1,3,2,5] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[6,4,1,3,5,2] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,1,5,2,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,1,5,3,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,2,1,3,5] => [1,3,5,2,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,2,1,5,3] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,2,3,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,2,3,5,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,4,2,5,1,3] => [1,3,2,5,4,6] => {{1},{2,3},{4,5},{6}} => {{1},{2,3},{4,5},{6}}
[6,4,2,5,3,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,4,3,1,2,5] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,4,3,1,5,2] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,3,2,1,5] => [1,5,2,3,4,6] => {{1},{2,3,4,5},{6}} => {{1},{2,3,4,5},{6}}
[6,4,3,2,5,1] => [1,2,5,3,4,6] => {{1},{2},{3,4,5},{6}} => {{1},{2},{3,4,5},{6}}
[6,4,3,5,1,2] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,4,3,5,2,1] => [1,2,3,5,4,6] => {{1},{2},{3},{4,5},{6}} => {{1},{2},{3},{4,5},{6}}
[6,4,5,1,2,3] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,4,5,1,3,2] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,4,5,2,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,4,5,2,3,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,4,5,3,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,4,5,3,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,1,2,3,4] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,1,2,4,3] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,5,1,3,2,4] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,5,1,3,4,2] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,1,4,2,3] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,1,4,3,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,2,1,3,4] => [1,3,4,2,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,2,1,4,3] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,2,3,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,2,3,4,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,2,4,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,5,2,4,3,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,5,3,1,2,4] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,5,3,1,4,2] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,3,2,1,4] => [1,4,2,3,5,6] => {{1},{2,3,4},{5},{6}} => {{1},{2,3,4},{5},{6}}
[6,5,3,2,4,1] => [1,2,4,3,5,6] => {{1},{2},{3,4},{5},{6}} => {{1},{2},{3,4},{5},{6}}
[6,5,3,4,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,3,4,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,4,1,2,3] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,4,1,3,2] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,5,4,2,1,3] => [1,3,2,4,5,6] => {{1},{2,3},{4},{5},{6}} => {{1},{2,3},{4},{5},{6}}
[6,5,4,2,3,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,4,3,1,2] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[6,5,4,3,2,1] => [1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => {{1},{2},{3},{4},{5},{6}}
[1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[1,2,3,4,5,7,6] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[1,2,3,4,6,5,7] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[1,2,3,4,6,7,5] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[1,2,3,4,7,5,6] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[1,2,3,4,7,6,5] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[1,2,3,5,4,6,7] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[1,2,3,5,4,7,6] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[1,2,3,5,6,4,7] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[1,2,3,5,6,7,4] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,5,7,4,6] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,5,7,6,4] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,6,4,5,7] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[1,2,3,6,4,7,5] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,6,5,4,7] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,6,5,7,4] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[1,2,3,6,7,4,5] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[1,2,3,6,7,5,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[1,2,3,7,4,5,6] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,7,4,6,5] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[1,2,3,7,5,4,6] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[1,2,3,7,5,6,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,7,6,4,5] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,3,7,6,5,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[1,2,4,3,5,6,7] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[1,2,4,3,5,7,6] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[1,2,4,3,6,5,7] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[1,2,4,3,6,7,5] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[1,2,4,3,7,5,6] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[1,2,4,3,7,6,5] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[1,2,4,5,3,6,7] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[1,2,4,5,3,7,6] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[1,2,4,5,6,3,7] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,4,5,6,7,3] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,5,7,3,6] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,5,7,6,3] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,6,3,5,7] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,4,6,3,7,5] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,6,5,3,7] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,6,5,7,3] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,4,6,7,3,5] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,4,6,7,5,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,4,7,3,5,6] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,7,3,6,5] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,4,7,5,3,6] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,4,7,5,6,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,7,6,3,5] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,4,7,6,5,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,3,4,6,7] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[1,2,5,3,4,7,6] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[1,2,5,3,6,4,7] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,5,3,6,7,4] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,3,7,4,6] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,3,7,6,4] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,4,3,6,7] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,4,3,7,6] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,4,6,3,7] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,4,6,7,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[1,2,5,4,7,3,6] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,5,4,7,6,3] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[1,2,5,6,3,4,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,3,7,4] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,5,6,4,3,7] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,5,6,4,7,3] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[1,2,5,6,7,3,4] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,6,7,4,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,5,7,3,4,6] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,5,7,3,6,4] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[1,2,5,7,4,3,6] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[1,2,5,7,4,6,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,5,7,6,3,4] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,5,7,6,4,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[1,2,6,3,4,5,7] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,6,3,4,7,5] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,3,5,4,7] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[1,2,6,3,5,7,4] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,6,3,7,4,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,3,7,5,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,4,3,5,7] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,6,4,3,7,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,4,5,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,4,5,7,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,6,4,7,3,5] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[1,2,6,4,7,5,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,5,3,4,7] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,5,3,7,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,5,4,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[1,2,6,5,4,7,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,5,7,3,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,6,5,7,4,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[1,2,6,7,3,4,5] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,7,3,5,4] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[1,2,6,7,4,3,5] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[1,2,6,7,4,5,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,7,5,3,4] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,6,7,5,4,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,3,4,5,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,3,4,6,5] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,7,3,5,4,6] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,7,3,5,6,4] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[1,2,7,3,6,4,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,3,6,5,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,4,3,5,6] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[1,2,7,4,3,6,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,4,5,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,4,5,6,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,4,6,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,7,4,6,5,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,7,5,3,4,6] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,7,5,3,6,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,5,4,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,5,4,6,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[1,2,7,5,6,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,5,6,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,6,3,4,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,6,3,5,4] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,7,6,4,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[1,2,7,6,4,5,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,6,5,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,2,7,6,5,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[1,3,2,4,5,6,7] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[1,3,2,4,5,7,6] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[1,3,2,4,6,5,7] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[1,3,2,4,6,7,5] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[1,3,2,4,7,5,6] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[1,3,2,4,7,6,5] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[1,3,2,5,4,6,7] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[1,3,2,5,4,7,6] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[1,3,2,5,6,4,7] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[1,3,2,5,6,7,4] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,5,7,4,6] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,5,7,6,4] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,6,4,5,7] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[1,3,2,6,4,7,5] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,6,5,4,7] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,6,5,7,4] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[1,3,2,6,7,4,5] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[1,3,2,6,7,5,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[1,3,2,7,4,5,6] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,7,4,6,5] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[1,3,2,7,5,4,6] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[1,3,2,7,5,6,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,7,6,4,5] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,2,7,6,5,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[1,3,4,2,5,6,7] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[1,3,4,2,5,7,6] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[1,3,4,2,6,5,7] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[1,3,4,2,6,7,5] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,3,4,2,7,5,6] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,3,4,2,7,6,5] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,3,4,5,2,6,7] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,3,4,5,2,7,6] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,3,4,5,6,2,7] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,4,5,6,7,2] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,5,7,2,6] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,5,7,6,2] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,6,2,5,7] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,4,6,2,7,5] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,6,5,2,7] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,6,5,7,2] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,4,6,7,2,5] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,4,6,7,5,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,4,7,2,5,6] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,7,2,6,5] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,4,7,5,2,6] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,4,7,5,6,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,7,6,2,5] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,4,7,6,5,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,2,4,6,7] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,3,5,2,4,7,6] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,3,5,2,6,4,7] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,5,2,6,7,4] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,2,7,4,6] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,2,7,6,4] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,4,2,6,7] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,4,2,7,6] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,4,6,2,7] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,4,6,7,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,3,5,4,7,2,6] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,5,4,7,6,2] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,3,5,6,2,4,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,3,5,6,2,7,4] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,5,6,4,2,7] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,5,6,4,7,2] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,3,5,6,7,2,4] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,6,7,4,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,5,7,2,4,6] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,5,7,2,6,4] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,3,5,7,4,2,6] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,3,5,7,4,6,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,5,7,6,2,4] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,5,7,6,4,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,3,6,2,4,5,7] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,6,2,4,7,5] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,2,5,4,7] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,3,6,2,5,7,4] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,6,2,7,4,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,2,7,5,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,4,2,5,7] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,6,4,2,7,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,4,5,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,4,5,7,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,6,4,7,2,5] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,3,6,4,7,5,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,5,2,4,7] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,5,2,7,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,5,4,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,3,6,5,4,7,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,5,7,2,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,6,5,7,4,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,3,6,7,2,4,5] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,7,2,5,4] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,3,6,7,4,2,5] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,3,6,7,4,5,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,7,5,2,4] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,6,7,5,4,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,2,4,5,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,2,4,6,5] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,7,2,5,4,6] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,7,2,5,6,4] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,3,7,2,6,4,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,2,6,5,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,4,2,5,6] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,3,7,4,2,6,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,4,5,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,4,5,6,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,4,6,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,7,4,6,5,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,7,5,2,4,6] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,7,5,2,6,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,5,4,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,5,4,6,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,3,7,5,6,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,5,6,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,6,2,4,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,6,2,5,4] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,7,6,4,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,3,7,6,4,5,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,6,5,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,3,7,6,5,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,3,5,6,7] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[1,4,2,3,5,7,6] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[1,4,2,3,6,5,7] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[1,4,2,3,6,7,5] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,2,3,7,5,6] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,2,3,7,6,5] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,2,5,3,6,7] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,4,2,5,3,7,6] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,4,2,5,6,3,7] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,2,5,6,7,3] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,5,7,3,6] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,5,7,6,3] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,6,3,5,7] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,2,6,3,7,5] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,6,5,3,7] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,6,5,7,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,2,6,7,3,5] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,4,2,6,7,5,3] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,4,2,7,3,5,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,7,3,6,5] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,2,7,5,3,6] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,2,7,5,6,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,7,6,3,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,2,7,6,5,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,2,5,6,7] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,2,5,7,6] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,2,6,5,7] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,3,2,6,7,5] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,4,3,2,7,5,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,2,7,6,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,5,2,6,7] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,4,3,5,2,7,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,5,6,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,5,6,7,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[1,4,3,5,7,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,3,5,7,6,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[1,4,3,6,2,5,7] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,6,2,7,5] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,3,6,5,2,7] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,3,6,5,7,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[1,4,3,6,7,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,4,3,6,7,5,2] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,3,7,2,5,6] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,3,7,2,6,5] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,7,5,2,6] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,3,7,5,6,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,3,7,6,2,5] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,4,3,7,6,5,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[1,4,5,2,3,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[1,4,5,2,3,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[1,4,5,2,6,3,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,5,2,6,7,3] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,2,7,3,6] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,2,7,6,3] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,3,2,6,7] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,3,2,7,6] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,3,6,2,7] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,5,3,6,7,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[1,4,5,3,7,2,6] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,5,3,7,6,2] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[1,4,5,6,2,3,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,5,6,2,7,3] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,5,6,3,2,7] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,5,6,3,7,2] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,4,5,6,7,2,3] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,4,5,6,7,3,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,4,5,7,2,3,6] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,5,7,2,6,3] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,5,7,3,2,6] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,4,5,7,3,6,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,5,7,6,2,3] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,5,7,6,3,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,6,2,3,5,7] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,6,2,3,7,5] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,6,2,5,3,7] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[1,4,6,2,5,7,3] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,6,2,7,3,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,2,7,5,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,3,2,5,7] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,6,3,2,7,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,3,5,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,3,5,7,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,6,3,7,2,5] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[1,4,6,3,7,5,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,6,5,2,3,7] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,6,5,2,7,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,5,3,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[1,4,6,5,3,7,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,6,5,7,2,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,6,5,7,3,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[1,4,6,7,2,3,5] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,4,6,7,2,5,3] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,6,7,3,2,5] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,4,6,7,3,5,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,4,6,7,5,2,3] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,4,6,7,5,3,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,4,7,2,3,5,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,2,3,6,5] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[1,4,7,2,5,3,6] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,7,2,5,6,3] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[1,4,7,2,6,3,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,2,6,5,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,3,2,5,6] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[1,4,7,3,2,6,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,3,5,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,3,5,6,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,3,6,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,7,3,6,5,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[1,4,7,5,2,3,6] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[1,4,7,5,2,6,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,5,3,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,5,3,6,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[1,4,7,5,6,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,5,6,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,6,2,3,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,6,2,5,3] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,7,6,3,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[1,4,7,6,3,5,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,6,5,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,4,7,6,5,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[1,5,2,3,4,6,7] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,5,2,3,4,7,6] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,5,2,3,6,4,7] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,2,3,6,7,4] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,2,3,7,4,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,2,3,7,6,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,2,4,3,6,7] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[1,5,2,4,3,7,6] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[1,5,2,4,6,3,7] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,5,2,4,6,7,3] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,2,4,7,3,6] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,2,4,7,6,3] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,2,6,3,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,2,6,3,7,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,2,6,4,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,2,6,4,7,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,2,6,7,3,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,2,6,7,4,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,2,7,3,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,2,7,3,6,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,2,7,4,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,2,7,4,6,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,2,7,6,3,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,2,7,6,4,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,2,4,6,7] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,3,2,4,7,6] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,3,2,6,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,3,2,6,7,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,3,2,7,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,2,7,6,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,4,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,3,4,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,4,6,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,4,6,7,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,5,3,4,7,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,3,4,7,6,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,5,3,6,2,4,7] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,5,3,6,2,7,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,3,6,4,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,3,6,4,7,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,3,6,7,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[1,5,3,6,7,4,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,3,7,2,4,6] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,5,3,7,2,6,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,7,4,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,3,7,4,6,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,3,7,6,2,4] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[1,5,3,7,6,4,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,2,3,6,7] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,2,3,7,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,2,6,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,2,6,7,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,2,7,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,4,2,7,6,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,3,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,3,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,3,6,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[1,5,4,3,6,7,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,3,7,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,3,7,6,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,6,2,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,6,2,7,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,6,3,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[1,5,4,6,3,7,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,4,6,7,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,5,4,6,7,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[1,5,4,7,2,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,4,7,2,6,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,4,7,3,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[1,5,4,7,3,6,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,4,7,6,2,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,5,4,7,6,3,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[1,5,6,2,3,4,7] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,6,2,3,7,4] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,6,2,4,3,7] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[1,5,6,2,4,7,3] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,6,2,7,3,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,2,7,4,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,3,2,4,7] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,6,3,2,7,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,3,4,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,3,4,7,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,6,3,7,2,4] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[1,5,6,3,7,4,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,6,4,2,3,7] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,6,4,2,7,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,4,3,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[1,5,6,4,3,7,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,6,4,7,2,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,6,4,7,3,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,5,6,7,2,3,4] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[1,5,6,7,2,4,3] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[1,5,6,7,3,2,4] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[1,5,6,7,3,4,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,2,3] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[1,5,6,7,4,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[1,5,7,2,3,4,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,2,3,6,4] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,5,7,2,4,3,6] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,7,2,4,6,3] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[1,5,7,2,6,3,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,2,6,4,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,3,2,4,6] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[1,5,7,3,2,6,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,3,4,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,3,4,6,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,3,6,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,7,3,6,4,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,5,7,4,2,3,6] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,5,7,4,2,6,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,4,3,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,4,3,6,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,5,7,4,6,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,4,6,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,6,2,3,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,6,2,4,3] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,7,6,3,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[1,5,7,6,3,4,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,6,4,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,5,7,6,4,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,3,4,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,2,3,4,7,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,3,5,4,7] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,6,2,3,5,7,4] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,2,3,7,4,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,2,3,7,5,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,2,4,3,5,7] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,6,2,4,3,7,5] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,6,2,4,5,3,7] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[1,6,2,4,5,7,3] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,6,2,4,7,3,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,2,4,7,5,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,2,5,3,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,2,5,3,7,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,5,4,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,5,4,7,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,2,5,7,3,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,2,5,7,4,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,2,7,3,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,7,3,5,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,2,7,4,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,2,7,4,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,7,5,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,2,7,5,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,2,4,5,7] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,6,3,2,4,7,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,3,2,5,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,3,2,5,7,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,3,2,7,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,2,7,5,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,4,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,3,4,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,4,5,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,4,5,7,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,3,4,7,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,3,4,7,5,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,5,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,3,5,2,7,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,3,5,4,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,3,5,4,7,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,6,3,5,7,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,6,3,5,7,4,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,3,7,2,4,5] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[1,6,3,7,2,5,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,7,4,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,3,7,4,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,3,7,5,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,6,3,7,5,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,4,2,3,5,7] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,4,2,3,7,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,4,2,5,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,2,5,7,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,4,2,7,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,4,2,7,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,3,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[1,6,4,3,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,3,5,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[1,6,4,3,5,7,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,4,3,7,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,3,7,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,4,5,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,4,5,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,5,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,5,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,4,5,7,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,4,5,7,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,4,7,2,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,6,4,7,2,5,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,4,7,3,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,4,7,3,5,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[1,6,4,7,5,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,4,7,5,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,2,3,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,2,3,7,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,5,2,4,3,7] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,6,5,2,4,7,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,5,2,7,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,2,7,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,3,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[1,6,5,3,2,7,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,3,4,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,3,4,7,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,3,7,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,6,5,3,7,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,5,4,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,5,4,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,4,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,4,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[1,6,5,4,7,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,4,7,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,5,7,2,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,5,7,2,4,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,6,5,7,3,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[1,6,5,7,3,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,5,7,4,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,5,7,4,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[1,6,7,2,3,4,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,2,3,5,4] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,2,4,3,5] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,2,4,5,3] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[1,6,7,2,5,3,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,2,5,4,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,3,2,4,5] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[1,6,7,3,2,5,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,3,4,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,3,4,5,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,3,5,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,3,5,4,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,4,2,3,5] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,4,2,5,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,4,3,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,6,7,4,3,5,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,4,5,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,4,5,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,5,2,3,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,5,2,4,3] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,5,3,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,6,7,5,3,4,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,5,4,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,6,7,5,4,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[1,7,2,3,4,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,3,4,6,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,2,3,5,4,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,2,3,5,6,4] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,7,2,3,6,4,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,3,6,5,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,4,3,5,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,2,4,3,6,5] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[1,7,2,4,5,3,6] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,7,2,4,5,6,3] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[1,7,2,4,6,3,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,2,4,6,5,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,2,5,3,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,5,3,6,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,2,5,4,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,2,5,4,6,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,5,6,3,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,5,6,4,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,6,3,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,2,6,3,5,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,6,4,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,2,6,4,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,2,6,5,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,2,6,5,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,3,2,4,5,6] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[1,7,3,2,4,6,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,3,2,5,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,2,5,6,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,2,6,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,3,2,6,5,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,3,4,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,4,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,3,4,5,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,3,4,5,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,4,6,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,4,6,5,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,3,5,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,3,5,2,6,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,5,4,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,5,4,6,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,3,5,6,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,3,5,6,4,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,7,3,6,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,7,3,6,2,5,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,3,6,4,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,3,6,4,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,3,6,5,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[1,7,3,6,5,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,2,3,5,6] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,7,4,2,3,6,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,2,5,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,4,2,5,6,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,2,6,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,2,6,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,4,3,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,3,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,4,3,5,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,3,5,6,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[1,7,4,3,6,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,4,3,6,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,5,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,5,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,4,5,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,4,5,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,5,6,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,5,6,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,6,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,4,6,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,6,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,4,6,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,4,6,5,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,4,6,5,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,5,2,3,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,5,2,3,6,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,2,4,3,6] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[1,7,5,2,4,6,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,5,2,6,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,2,6,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,3,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,5,3,2,6,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,3,4,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,3,4,6,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,5,3,6,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[1,7,5,3,6,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,4,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,4,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,4,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[1,7,5,4,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,4,6,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,5,4,6,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[1,7,5,6,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,6,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,5,6,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,5,6,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,6,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,5,6,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,2,3,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,2,3,5,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,6,2,4,3,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,6,2,4,5,3] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,7,6,2,5,3,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,2,5,4,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,3,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[1,7,6,3,2,5,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,3,4,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,3,4,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,3,5,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,6,3,5,4,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,6,4,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,6,4,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,4,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,4,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[1,7,6,4,5,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,4,5,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,5,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,5,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,6,5,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[1,7,6,5,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,5,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[1,7,6,5,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,4,5,6,7] => [1,3,4,5,6,7,2] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,4,5,7,6] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,4,6,5,7] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,3,4,6,7,5] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,3,4,7,5,6] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,4,7,6,5] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,5,4,6,7] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,1,3,5,4,7,6] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,1,3,5,6,4,7] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,1,3,5,6,7,4] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,5,7,4,6] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,1,3,5,7,6,4] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,1,3,6,4,5,7] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,3,6,4,7,5] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,6,5,4,7] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,6,5,7,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,3,6,7,4,5] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,6,7,5,4] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,7,4,5,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,7,4,6,5] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,3,7,5,4,6] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,3,7,5,6,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,7,6,4,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,3,7,6,5,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,4,3,5,6,7] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[2,1,4,3,5,7,6] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[2,1,4,3,6,5,7] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[2,1,4,3,6,7,5] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,1,4,3,7,5,6] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,1,4,3,7,6,5] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,1,4,5,3,6,7] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[2,1,4,5,3,7,6] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[2,1,4,5,6,3,7] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,4,5,6,7,3] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,1,4,5,7,3,6] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,4,5,7,6,3] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,4,6,3,5,7] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,1,4,6,3,7,5] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,4,6,5,3,7] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,4,6,5,7,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,1,4,6,7,3,5] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,1,4,6,7,5,3] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,1,4,7,3,5,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,4,7,3,6,5] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[2,1,4,7,5,3,6] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[2,1,4,7,5,6,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,4,7,6,3,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,4,7,6,5,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,1,5,3,4,6,7] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,1,5,3,4,7,6] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,1,5,3,6,4,7] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,5,3,6,7,4] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,3,7,4,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,3,7,6,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,4,3,6,7] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,4,3,7,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,4,6,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,4,6,7,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,1,5,4,7,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,5,4,7,6,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,1,5,6,3,4,7] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,5,6,3,7,4] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,6,4,3,7] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,6,4,7,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,5,6,7,3,4] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[2,1,5,6,7,4,3] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[2,1,5,7,3,4,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,7,3,6,4] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,5,7,4,3,6] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,5,7,4,6,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,7,6,3,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,5,7,6,4,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,3,4,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,6,3,4,7,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,3,5,4,7] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,1,6,3,5,7,4] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,6,3,7,4,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,3,7,5,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,4,3,5,7] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,6,4,3,7,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,4,5,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,4,5,7,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,6,4,7,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,1,6,4,7,5,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,5,3,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,5,3,7,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,5,4,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,1,6,5,4,7,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,5,7,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,6,5,7,4,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,1,6,7,3,4,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,1,6,7,3,5,4] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,7,4,3,5] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,6,7,4,5,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,1,6,7,5,3,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,1,6,7,5,4,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,1,7,3,4,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,3,4,6,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,7,3,5,4,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,7,3,5,6,4] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,1,7,3,6,4,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,3,6,5,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,4,3,5,6] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,1,7,4,3,6,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,4,5,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,4,5,6,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,4,6,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,7,4,6,5,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,7,5,3,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,7,5,3,6,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,5,4,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,5,4,6,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,1,7,5,6,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,5,6,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,6,3,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,6,3,5,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,7,6,4,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,1,7,6,4,5,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,6,5,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,1,7,6,5,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,4,5,6,7] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,3,1,4,5,7,6] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,4,6,5,7] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,3,1,4,6,7,5] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,3,1,4,7,5,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,1,4,7,6,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,1,5,4,6,7] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,3,1,5,4,7,6] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,3,1,5,6,4,7] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,1,5,6,7,4] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[2,3,1,5,7,4,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,5,7,6,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,6,4,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,1,6,4,7,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,6,5,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,6,5,7,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,1,6,7,4,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,3,1,6,7,5,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,3,1,7,4,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,7,4,6,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,1,7,5,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,1,7,5,6,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,7,6,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,1,7,6,5,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,1,5,6,7] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[2,3,4,1,5,7,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,1,6,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,4,1,6,7,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,3,4,1,7,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,1,7,6,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,5,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[2,3,4,5,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,5,6,1,7] => [1,7,2,3,4,5,6] => {{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] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[2,3,4,5,7,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[2,3,4,6,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,6,1,7,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,4,6,5,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,4,6,5,7,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[2,3,4,6,7,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,3,4,6,7,5,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[2,3,4,7,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,4,7,1,6,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,7,5,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,4,7,5,6,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[2,3,4,7,6,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,3,4,7,6,5,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[2,3,5,1,4,6,7] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,3,5,1,4,7,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,5,1,6,4,7] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,3,5,1,6,7,4] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,5,1,7,4,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,1,7,6,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,4,1,6,7] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,5,4,1,7,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,4,6,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,4,6,7,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[2,3,5,4,7,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,3,5,4,7,6,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[2,3,5,6,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,5,6,1,7,4] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,3,5,6,4,1,7] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,3,5,6,4,7,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[2,3,5,6,7,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[2,3,5,6,7,4,1] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,5,7,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,3,5,7,1,6,4] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,7,4,1,6] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,3,5,7,4,6,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,5,7,6,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[2,3,5,7,6,4,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,6,1,4,5,7] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,1,4,7,5] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[2,3,6,1,5,4,7] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,6,1,5,7,4] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,6,1,7,4,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,1,7,5,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,4,1,5,7] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,3,6,4,1,7,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,4,5,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,4,5,7,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[2,3,6,4,7,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,6,4,7,5,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,6,5,1,4,7] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[2,3,6,5,1,7,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,5,4,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,5,4,7,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,6,5,7,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[2,3,6,5,7,4,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[2,3,6,7,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[2,3,6,7,1,5,4] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,7,4,1,5] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,6,7,4,5,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[2,3,6,7,5,1,4] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,3,6,7,5,4,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[2,3,7,1,4,5,6] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,3,7,1,4,6,5] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,7,1,5,4,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,1,5,6,4] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,1,6,4,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,1,6,5,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,4,1,5,6] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,4,1,6,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,4,5,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,4,5,6,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,7,4,6,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,4,6,5,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[2,3,7,5,1,4,6] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,3,7,5,1,6,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,5,4,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,3,7,5,4,6,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[2,3,7,5,6,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,3,7,5,6,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,7,6,1,4,5] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[2,3,7,6,1,5,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,6,4,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,3,7,6,4,5,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,3,7,6,5,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,3,7,6,5,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[2,4,1,3,5,6,7] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,3,5,7,6] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,4,1,3,6,5,7] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,4,1,3,6,7,5] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,3,7,5,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,3,7,6,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,5,3,6,7] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[2,4,1,5,3,7,6] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[2,4,1,5,6,3,7] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[2,4,1,5,6,7,3] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[2,4,1,5,7,3,6] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,1,5,7,6,3] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,1,6,3,5,7] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,1,6,3,7,5] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,1,6,5,3,7] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,1,6,5,7,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,1,6,7,3,5] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,6,7,5,3] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,1,7,3,5,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,1,7,3,6,5] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[2,4,1,7,5,3,6] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[2,4,1,7,5,6,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,1,7,6,3,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,1,7,6,5,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,1,5,6,7] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[2,4,3,1,5,7,6] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,3,1,6,5,7] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,3,1,6,7,5] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,3,1,7,5,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,1,7,6,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,5,1,6,7] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,3,5,1,7,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,5,6,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,5,6,7,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[2,4,3,5,7,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,3,5,7,6,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[2,4,3,6,1,5,7] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,3,6,1,7,5] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[2,4,3,6,5,1,7] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[2,4,3,6,5,7,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[2,4,3,6,7,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[2,4,3,6,7,5,1] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[2,4,3,7,1,5,6] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[2,4,3,7,1,6,5] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,7,5,1,6] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,3,7,5,6,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[2,4,3,7,6,1,5] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[2,4,3,7,6,5,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[2,4,5,1,3,6,7] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,5,1,3,7,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,5,1,6,3,7] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[2,4,5,1,6,7,3] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[2,4,5,1,7,3,6] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,1,7,6,3] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,3,1,6,7] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[2,4,5,3,1,7,6] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,3,6,1,7] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,3,6,7,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[2,4,5,3,7,1,6] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[2,4,5,3,7,6,1] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[2,4,5,6,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,5,6,1,7,3] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[2,4,5,6,3,1,7] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[2,4,5,6,3,7,1] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,4,5,6,7,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[2,4,5,6,7,3,1] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,5,7,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,4,5,7,1,6,3] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,7,3,1,6] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[2,4,5,7,3,6,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,5,7,6,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[2,4,5,7,6,3,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,6,1,3,5,7] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,4,6,1,3,7,5] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,4,6,1,5,3,7] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,6,1,5,7,3] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[2,4,6,1,7,3,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,1,7,5,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,3,1,5,7] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[2,4,6,3,1,7,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,3,5,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,3,5,7,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,4,6,3,7,1,5] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[2,4,6,3,7,5,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,6,5,1,3,7] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,4,6,5,1,7,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,5,3,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,5,3,7,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,6,5,7,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[2,4,6,5,7,3,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,4,6,7,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,4,6,7,1,5,3] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,7,3,1,5] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,6,7,3,5,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,4,6,7,5,1,3] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[2,4,6,7,5,3,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,4,7,1,3,5,6] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,4,7,1,3,6,5] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,7,1,5,3,6] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,7,1,5,6,3] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,7,1,6,3,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,1,6,5,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,3,1,5,6] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[2,4,7,3,1,6,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,3,5,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,3,5,6,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,7,3,6,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,7,3,6,5,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,4,7,5,1,3,6] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,4,7,5,1,6,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,5,3,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[2,4,7,5,3,6,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,4,7,5,6,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[2,4,7,5,6,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,7,6,1,3,5] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,4,7,6,1,5,3] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,7,6,3,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[2,4,7,6,3,5,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,4,7,6,5,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[2,4,7,6,5,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,1,3,4,6,7] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,5,1,3,4,7,6] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,3,6,4,7] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,5,1,3,6,7,4] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,5,1,3,7,4,6] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,1,3,7,6,4] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,1,4,3,6,7] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,5,1,4,3,7,6] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,5,1,4,6,3,7] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[2,5,1,4,6,7,3] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,4,7,3,6] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,1,4,7,6,3] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,1,6,3,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,1,6,3,7,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,6,4,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,6,4,7,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,1,6,7,3,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,1,6,7,4,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,1,7,3,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,7,3,6,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,1,7,4,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,1,7,4,6,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,7,6,3,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,1,7,6,4,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,1,4,6,7] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,1,4,7,6] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,3,1,6,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,3,1,6,7,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,3,1,7,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,1,7,6,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,4,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,3,4,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,4,6,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,4,6,7,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[2,5,3,4,7,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,3,4,7,6,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[2,5,3,6,1,4,7] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,3,6,1,7,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,3,6,4,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,3,6,4,7,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,5,3,6,7,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,5,3,6,7,4,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,3,7,1,4,6] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[2,5,3,7,1,6,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,7,4,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,3,7,4,6,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,3,7,6,1,4] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,5,3,7,6,4,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,4,1,3,6,7] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,5,4,1,3,7,6] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,4,1,6,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,1,6,7,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,4,1,7,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,4,1,7,6,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,3,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,4,3,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,3,6,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,5,4,3,6,7,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,4,3,7,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,3,7,6,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,4,6,1,3,7] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,4,6,1,7,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,6,3,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,4,6,3,7,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,4,6,7,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[2,5,4,6,7,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[2,5,4,7,1,3,6] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[2,5,4,7,1,6,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,4,7,3,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,4,7,3,6,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,5,4,7,6,1,3] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[2,5,4,7,6,3,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[2,5,6,1,3,4,7] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,1,3,7,4] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,5,6,1,4,3,7] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,6,1,4,7,3] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[2,5,6,1,7,3,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,1,7,4,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,3,1,4,7] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[2,5,6,3,1,7,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,3,4,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,3,4,7,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[2,5,6,3,7,1,4] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,6,3,7,4,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,5,6,4,1,3,7] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[2,5,6,4,1,7,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,4,3,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,4,3,7,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,5,6,4,7,1,3] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[2,5,6,4,7,3,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[2,5,6,7,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[2,5,6,7,1,4,3] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,7,3,1,4] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,6,7,3,4,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,6,7,4,1,3] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,5,6,7,4,3,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,5,7,1,3,4,6] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,5,7,1,3,6,4] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,7,1,4,3,6] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,7,1,4,6,3] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,7,1,6,3,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,1,6,4,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,3,1,4,6] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[2,5,7,3,1,6,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,3,4,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,3,4,6,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,5,7,3,6,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,7,3,6,4,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[2,5,7,4,1,3,6] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[2,5,7,4,1,6,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,4,3,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[2,5,7,4,3,6,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[2,5,7,4,6,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,5,7,4,6,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,5,7,6,1,3,4] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[2,5,7,6,1,4,3] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,7,6,3,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,5,7,6,3,4,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,5,7,6,4,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,5,7,6,4,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[2,6,1,3,4,5,7] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,3,4,7,5] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,6,1,3,5,4,7] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,1,3,5,7,4] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,6,1,3,7,4,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,3,7,5,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,4,3,5,7] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,1,4,3,7,5] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,4,5,3,7] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,6,1,4,5,7,3] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,6,1,4,7,3,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,1,4,7,5,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,1,5,3,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,1,5,3,7,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,1,5,4,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,1,5,4,7,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,1,5,7,3,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,5,7,4,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,7,3,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,1,7,3,5,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,7,4,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,1,7,4,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,1,7,5,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,1,7,5,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,3,1,4,5,7] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,6,3,1,4,7,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,3,1,5,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,3,1,5,7,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,3,1,7,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,3,1,7,5,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,3,4,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,3,4,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,3,4,5,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,3,4,5,7,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,6,3,4,7,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,3,4,7,5,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,3,5,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,3,5,1,7,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,3,5,4,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,3,5,4,7,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[2,6,3,5,7,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,3,5,7,4,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,6,3,7,1,4,5] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[2,6,3,7,1,5,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,3,7,4,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,3,7,4,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,3,7,5,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,3,7,5,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,4,1,3,5,7] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,6,4,1,3,7,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,1,5,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,4,1,5,7,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,1,7,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,1,7,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,4,3,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,3,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,4,3,5,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,3,5,7,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,6,4,3,7,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,6,4,3,7,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,4,5,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,4,5,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,4,5,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,4,5,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,4,5,7,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[2,6,4,5,7,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,6,4,7,1,3,5] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,4,7,1,5,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,4,7,3,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[2,6,4,7,3,5,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[2,6,4,7,5,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,6,4,7,5,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,5,1,3,4,7] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,6,5,1,3,7,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,5,1,4,3,7] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,5,1,4,7,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,5,1,7,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,1,7,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,3,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,5,3,1,7,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,3,4,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,3,4,7,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,5,3,7,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,5,3,7,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,5,4,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,5,4,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,4,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[2,6,5,4,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[2,6,5,4,7,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,6,5,4,7,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,5,7,1,3,4] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[2,6,5,7,1,4,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,5,7,3,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,6,5,7,3,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,6,5,7,4,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[2,6,5,7,4,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[2,6,7,1,3,4,5] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[2,6,7,1,3,5,4] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,1,4,3,5] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,6,7,1,4,5,3] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,7,1,5,3,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,1,5,4,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,3,1,4,5] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,6,7,3,1,5,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,3,4,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,3,4,5,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,7,3,5,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,6,7,3,5,4,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[2,6,7,4,1,3,5] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,4,1,5,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,4,3,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,6,7,4,3,5,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[2,6,7,4,5,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[2,6,7,4,5,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,7,5,1,3,4] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,6,7,5,1,4,3] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,6,7,5,3,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,6,7,5,3,4,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,6,7,5,4,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[2,6,7,5,4,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,1,3,4,5,6] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[2,7,1,3,4,6,5] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,3,5,4,6] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,3,5,6,4] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,1,3,6,4,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,1,3,6,5,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,1,4,3,5,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,4,3,6,5] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,7,1,4,5,3,6] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,7,1,4,5,6,3] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,4,6,3,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,1,4,6,5,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,1,5,3,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,1,5,3,6,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,1,5,4,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,1,5,4,6,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,1,5,6,3,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,1,5,6,4,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,1,6,3,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,6,3,5,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,1,6,4,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,1,6,4,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,6,5,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,1,6,5,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,1,4,5,6] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,1,4,6,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,3,1,5,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,3,1,5,6,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,3,1,6,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,1,6,5,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,4,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,3,4,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,4,5,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,4,5,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,3,4,6,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,3,4,6,5,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,7,3,5,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,3,5,1,6,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,3,5,4,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,3,5,4,6,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,7,3,5,6,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,3,5,6,4,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[2,7,3,6,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,7,3,6,1,5,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,3,6,4,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,3,6,4,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,3,6,5,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,7,3,6,5,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,4,1,3,5,6] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,4,1,3,6,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,4,1,5,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,4,1,5,6,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,4,1,6,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,4,1,6,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,4,3,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[2,7,4,3,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,4,3,5,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[2,7,4,3,5,6,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[2,7,4,3,6,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[2,7,4,3,6,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,4,5,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,4,5,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,4,5,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,4,5,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,4,5,6,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,7,4,5,6,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,4,6,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,4,6,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,4,6,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,4,6,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,7,4,6,5,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[2,7,4,6,5,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,7,5,1,3,4,6] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,1,3,6,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,5,1,4,3,6] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,7,5,1,4,6,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,5,1,6,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,1,6,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,3,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[2,7,5,3,1,6,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,3,4,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,3,4,6,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,7,5,3,6,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[2,7,5,3,6,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,5,4,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[2,7,5,4,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,4,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,4,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,5,4,6,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[2,7,5,4,6,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[2,7,5,6,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,7,5,6,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,6,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,5,6,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,5,6,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,7,5,6,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,6,1,3,4,5] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[2,7,6,1,3,5,4] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,1,4,3,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,1,4,5,3] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,7,6,1,5,3,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,1,5,4,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,3,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[2,7,6,3,1,5,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,3,4,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,3,4,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,6,3,5,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,3,5,4,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,7,6,4,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,4,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,4,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[2,7,6,4,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[2,7,6,4,5,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,7,6,4,5,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,6,5,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[2,7,6,5,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,5,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[2,7,6,5,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[2,7,6,5,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[2,7,6,5,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,4,5,6,7] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,4,5,7,6] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,4,6,5,7] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,1,2,4,6,7,5] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,1,2,4,7,5,6] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,4,7,6,5] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,5,4,6,7] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,1,2,5,4,7,6] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,1,2,5,6,4,7] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[3,1,2,5,6,7,4] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,5,7,4,6] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,1,2,5,7,6,4] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,1,2,6,4,5,7] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,1,2,6,4,7,5] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,6,5,4,7] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,6,5,7,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,1,2,6,7,4,5] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,6,7,5,4] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,7,4,5,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,7,4,6,5] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,1,2,7,5,4,6] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,1,2,7,5,6,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,7,6,4,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,2,7,6,5,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,1,4,2,5,6,7] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,2,5,7,6] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,2,6,5,7] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,4,2,6,7,5] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,1,4,2,7,5,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,2,7,6,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,5,2,6,7] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,4,5,2,7,6] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,4,5,6,2,7] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,5,6,7,2] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,1,4,5,7,2,6] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,1,4,5,7,6,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,6,2,5,7] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,1,4,6,2,7,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,1,4,6,5,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,1,4,6,5,7,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,1,4,6,7,2,5] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,4,6,7,5,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,1,4,7,2,5,6] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[3,1,4,7,2,6,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,4,7,5,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,4,7,5,6,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,4,7,6,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,1,4,7,6,5,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,1,5,2,4,6,7] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,5,2,4,7,6] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,5,2,6,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,1,5,2,6,7,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,5,2,7,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,1,5,2,7,6,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,1,5,4,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,5,4,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,1,5,4,6,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,1,5,4,6,7,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,1,5,4,7,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,1,5,4,7,6,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,1,5,6,2,4,7] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,1,5,6,2,7,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,1,5,6,4,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,1,5,6,4,7,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,5,6,7,2,4] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[3,1,5,6,7,4,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[3,1,5,7,2,4,6] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[3,1,5,7,2,6,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,5,7,4,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,5,7,4,6,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,5,7,6,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,1,5,7,6,4,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,2,4,5,7] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,1,6,2,4,7,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,1,6,2,5,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,6,2,5,7,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,1,6,2,7,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,2,7,5,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,4,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,1,6,4,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,4,5,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,4,5,7,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,6,4,7,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,6,4,7,5,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,5,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,1,6,5,2,7,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,5,4,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,5,4,7,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,5,7,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,1,6,5,7,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,1,6,7,2,4,5] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[3,1,6,7,2,5,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,1,6,7,4,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,1,6,7,4,5,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,1,6,7,5,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,6,7,5,4,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,1,7,2,4,5,6] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[3,1,7,2,4,6,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,7,2,5,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,2,5,6,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,2,6,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,2,6,5,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,4,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,4,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,4,5,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,4,5,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,4,6,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,4,6,5,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,1,7,5,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,7,5,2,6,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,5,4,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,1,7,5,4,6,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,1,7,5,6,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,7,5,6,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,6,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,1,7,6,2,5,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,6,4,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,6,4,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,1,7,6,5,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,1,7,6,5,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,4,5,6,7] => [1,4,5,6,7,2,3] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,2,1,4,5,7,6] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,4,6,5,7] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,2,1,4,6,7,5] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,2,1,4,7,5,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,1,4,7,6,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,1,5,4,6,7] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,2,1,5,4,7,6] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,2,1,5,6,4,7] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,1,5,6,7,4] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[3,2,1,5,7,4,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,5,7,6,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,6,4,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,1,6,4,7,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,6,5,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,6,5,7,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,1,6,7,4,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,2,1,6,7,5,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,2,1,7,4,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,7,4,6,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,2,1,7,5,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,2,1,7,5,6,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,7,6,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,1,7,6,5,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,4,1,5,6,7] => [1,5,6,7,2,4,3] => {{1},{2,5},{3,4,6,7}} => {{1},{2,4,5},{3,6,7}}
[3,2,4,1,5,7,6] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,2,4,1,6,5,7] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,2,4,1,6,7,5] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,4,1,7,5,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,1,7,6,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,5,1,6,7] => [1,6,7,2,4,5,3] => {{1},{2,4,5,6},{3,7}} => {{1},{2,5,7},{3,4,6}}
[3,2,4,5,1,7,6] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,2,4,5,6,1,7] => [1,7,2,4,5,6,3] => {{1},{2,3,7},{4},{5},{6}} => {{1},{2,3,7},{4},{5},{6}}
[3,2,4,5,6,7,1] => [1,2,4,5,6,7,3] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,4,5,7,1,6] => [1,6,2,4,5,7,3] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,2,4,5,7,6,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,4,6,1,5,7] => [1,5,7,2,4,6,3] => {{1},{2,4,5},{3,7},{6}} => {{1},{2,5},{3,4,7},{6}}
[3,2,4,6,1,7,5] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,6,5,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,6,5,7,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,2,4,6,7,1,5] => [1,5,2,4,6,7,3] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,6,7,5,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,2,4,7,1,5,6] => [1,5,6,2,4,7,3] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,2,4,7,1,6,5] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,2,4,7,5,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,2,4,7,5,6,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,4,7,6,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,2,4,7,6,5,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,5,1,4,6,7] => [1,4,6,7,2,5,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,1,4,7,6] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,2,5,1,6,4,7] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,5,1,6,7,4] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,2,5,1,7,4,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,1,7,6,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,4,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,2,5,4,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,4,6,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,4,6,7,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,2,5,4,7,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,5,4,7,6,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,2,5,6,1,4,7] => [1,4,7,2,5,6,3] => {{1},{2,4},{3,7},{5},{6}} => {{1},{2,7},{3,4},{5},{6}}
[3,2,5,6,1,7,4] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,6,4,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,6,4,7,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[3,2,5,6,7,1,4] => [1,4,2,5,6,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,6,7,4,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,5,7,1,4,6] => [1,4,6,2,5,7,3] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,2,5,7,1,6,4] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,2,5,7,4,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,2,5,7,4,6,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,2,5,7,6,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,5,7,6,4,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,2,6,1,4,5,7] => [1,4,5,7,2,6,3] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,2,6,1,4,7,5] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,6,1,5,4,7] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,2,6,1,5,7,4] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,6,1,7,4,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,1,7,5,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,4,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,6,4,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,4,5,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,4,5,7,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,2,6,4,7,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,2,6,4,7,5,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,6,5,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,6,5,1,7,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,5,4,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,2,6,5,4,7,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,6,5,7,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,2,6,5,7,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,2,6,7,1,4,5] => [1,4,5,2,6,7,3] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,6,7,1,5,4] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,6,7,4,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,6,7,4,5,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,6,7,5,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,2,6,7,5,4,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,7,1,4,5,6] => [1,4,5,6,2,7,3] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,1,4,6,5] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,2,7,1,5,4,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,2,7,1,5,6,4] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,2,7,1,6,4,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,1,6,5,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,4,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,2,7,4,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,4,5,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,4,5,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,7,4,6,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,2,7,4,6,5,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,2,7,5,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,2,7,5,1,6,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,5,4,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,5,4,6,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,2,7,5,6,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,5,6,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,7,6,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,2,7,6,1,5,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,2,7,6,4,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,2,7,6,4,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,2,7,6,5,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,2,7,6,5,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,1,2,5,6,7] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,1,2,5,7,6] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,4,1,2,6,5,7] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,4,1,2,6,7,5] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,1,2,7,5,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,1,2,7,6,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,1,5,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,5,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,4,1,5,6,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,4,1,5,6,7,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[3,4,1,5,7,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,5,7,6,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,6,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,4,1,6,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,6,5,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,6,5,7,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,1,6,7,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,4,1,6,7,5,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,4,1,7,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,7,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,1,7,5,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,1,7,5,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,7,6,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,1,7,6,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,1,5,6,7] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[3,4,2,1,5,7,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,1,6,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,2,1,6,7,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,4,2,1,7,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,1,7,6,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,5,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,4,2,5,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,5,6,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,5,6,7,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,2,5,7,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[3,4,2,5,7,6,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,4,2,6,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,6,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,2,6,5,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,2,6,5,7,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,4,2,6,7,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,6,7,5,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,2,7,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,4,2,7,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,7,5,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,2,7,5,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,2,7,6,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,4,2,7,6,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,1,2,6,7] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,1,2,7,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,1,6,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,1,6,7,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,4,5,1,7,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,5,1,7,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,2,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[3,4,5,2,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,2,6,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[3,4,5,2,6,7,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,2,7,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,2,7,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,6,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,6,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,6,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,5,6,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,5,6,7,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[3,4,5,6,7,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[3,4,5,7,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,4,5,7,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,5,7,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,5,7,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,4,5,7,6,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[3,4,5,7,6,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[3,4,6,1,2,5,7] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,4,6,1,2,7,5] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,4,6,1,5,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,4,6,1,5,7,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,6,1,7,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,6,1,7,5,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,4,6,2,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,6,2,1,7,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,4,6,2,5,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,6,2,5,7,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,4,6,2,7,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,4,6,2,7,5,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,4,6,5,1,2,7] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,4,6,5,1,7,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,4,6,5,2,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,4,6,5,2,7,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,4,6,5,7,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[3,4,6,5,7,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[3,4,6,7,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,4,6,7,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,4,6,7,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,4,6,7,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,4,6,7,5,1,2] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,4,6,7,5,2,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,4,7,1,2,5,6] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[3,4,7,1,2,6,5] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,7,1,5,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,4,7,1,5,6,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,7,1,6,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,7,1,6,5,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,7,2,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,7,2,1,6,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,7,2,5,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,4,7,2,5,6,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[3,4,7,2,6,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[3,4,7,2,6,5,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,7,5,1,2,6] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,7,5,1,6,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,7,5,2,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,4,7,5,2,6,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,4,7,5,6,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,4,7,5,6,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,4,7,6,1,2,5] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,4,7,6,1,5,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,4,7,6,2,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,4,7,6,2,5,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,4,7,6,5,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,4,7,6,5,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[3,5,1,2,4,6,7] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,5,1,2,4,7,6] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,5,1,2,6,4,7] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[3,5,1,2,6,7,4] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[3,5,1,2,7,4,6] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,1,2,7,6,4] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,1,4,2,6,7] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,5,1,4,2,7,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,1,4,6,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,5,1,4,6,7,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,5,1,4,7,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,1,4,7,6,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,1,6,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,5,1,6,2,7,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,1,6,4,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,1,6,4,7,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[3,5,1,6,7,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,1,6,7,4,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,1,7,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,1,7,2,6,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,1,7,4,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,1,7,4,6,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,1,7,6,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,1,7,6,4,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,2,1,4,6,7] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[3,5,2,1,4,7,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,2,1,6,4,7] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[3,5,2,1,6,7,4] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,2,1,7,4,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,2,1,7,6,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,2,4,1,6,7] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,2,4,1,7,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,2,4,6,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,2,4,6,7,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,5,2,4,7,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[3,5,2,4,7,6,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,5,2,6,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,2,6,1,7,4] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,2,6,4,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,2,6,4,7,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[3,5,2,6,7,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,5,2,6,7,4,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[3,5,2,7,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[3,5,2,7,1,6,4] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,2,7,4,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,2,7,4,6,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,2,7,6,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,2,7,6,4,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,4,1,2,6,7] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[3,5,4,1,2,7,6] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,4,1,6,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,4,1,6,7,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,4,1,7,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,4,1,7,6,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,4,2,1,6,7] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,4,2,1,7,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,4,2,6,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,4,2,6,7,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[3,5,4,2,7,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[3,5,4,2,7,6,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,4,6,1,2,7] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,4,6,1,7,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,4,6,2,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,4,6,2,7,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,4,6,7,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[3,5,4,6,7,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[3,5,4,7,1,2,6] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[3,5,4,7,1,6,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[3,5,4,7,2,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[3,5,4,7,2,6,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[3,5,4,7,6,1,2] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[3,5,4,7,6,2,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[3,5,6,1,2,4,7] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,5,6,1,2,7,4] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[3,5,6,1,4,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,6,1,4,7,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,6,1,7,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,6,1,7,4,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[3,5,6,2,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,5,6,2,1,7,4] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[3,5,6,2,4,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,5,6,2,4,7,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,5,6,2,7,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,5,6,2,7,4,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,1,2,7] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,1,7,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[3,5,6,4,2,1,7] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[3,5,6,4,2,7,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[3,5,6,4,7,1,2] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,5,6,4,7,2,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,5,6,7,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[3,5,6,7,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[3,5,6,7,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[3,5,6,7,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[3,5,6,7,4,1,2] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,5,6,7,4,2,1] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,5,7,1,2,4,6] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,5,7,1,2,6,4] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,7,1,4,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,5,7,1,4,6,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,5,7,1,6,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,5,7,1,6,4,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,7,2,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,5,7,2,1,6,4] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,7,2,4,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,5,7,2,4,6,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,5,7,2,6,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,5,7,2,6,4,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,7,4,1,2,6] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,7,4,1,6,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,7,4,2,1,6] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[3,5,7,4,2,6,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[3,5,7,4,6,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,5,7,4,6,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,5,7,6,1,2,4] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[3,5,7,6,1,4,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[3,5,7,6,2,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[3,5,7,6,2,4,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[3,5,7,6,4,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,5,7,6,4,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,6,1,2,4,5,7] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,1,2,4,7,5] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,6,1,2,5,4,7] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,6,1,2,5,7,4] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[3,6,1,2,7,4,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,1,2,7,5,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,1,4,2,5,7] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,1,4,2,7,5] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,1,4,5,2,7] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,6,1,4,5,7,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,1,4,7,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,6,1,4,7,5,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[3,6,1,5,2,4,7] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,6,1,5,2,7,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,1,5,4,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,1,5,4,7,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,6,1,5,7,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,6,1,5,7,4,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,1,7,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,6,1,7,2,5,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,1,7,4,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,1,7,4,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,1,7,5,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[3,6,1,7,5,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,2,1,4,5,7] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,2,1,4,7,5] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[3,6,2,1,5,4,7] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,6,2,1,5,7,4] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,2,1,7,4,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,2,1,7,5,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,2,4,1,5,7] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[3,6,2,4,1,7,5] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[3,6,2,4,5,1,7] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[3,6,2,4,5,7,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,2,4,7,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,6,2,4,7,5,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,6,2,5,1,4,7] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[3,6,2,5,1,7,4] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,2,5,4,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,2,5,4,7,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,6,2,5,7,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,2,5,7,4,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[3,6,2,7,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,6,2,7,1,5,4] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,2,7,4,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,2,7,4,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,2,7,5,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,2,7,5,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,4,1,2,5,7] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[3,6,4,1,2,7,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,4,1,5,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,4,1,5,7,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,4,1,7,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,4,1,7,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,4,2,1,5,7] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,4,2,1,7,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,4,2,5,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,4,2,5,7,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[3,6,4,2,7,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[3,6,4,2,7,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,4,5,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,4,5,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,4,5,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,4,5,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,4,5,7,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,6,4,5,7,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,6,4,7,1,2,5] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,6,4,7,1,5,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,6,4,7,2,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,6,4,7,2,5,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,6,4,7,5,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,6,4,7,5,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,6,5,1,2,4,7] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,6,5,1,2,7,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,5,1,4,2,7] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,5,1,4,7,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[3,6,5,1,7,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[3,6,5,1,7,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,5,2,1,4,7] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[3,6,5,2,1,7,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,5,2,4,1,7] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[3,6,5,2,4,7,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[3,6,5,2,7,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[3,6,5,2,7,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,5,4,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,5,4,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,5,4,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,5,4,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,5,4,7,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,6,5,4,7,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,6,5,7,1,2,4] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[3,6,5,7,1,4,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[3,6,5,7,2,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[3,6,5,7,2,4,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[3,6,5,7,4,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,6,5,7,4,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[3,6,7,1,2,4,5] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,6,7,1,2,5,4] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,7,1,4,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,6,7,1,4,5,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[3,6,7,1,5,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[3,6,7,1,5,4,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,7,2,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[3,6,7,2,1,5,4] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,7,2,4,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[3,6,7,2,4,5,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[3,6,7,2,5,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[3,6,7,2,5,4,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,7,4,1,2,5] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,7,4,1,5,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,7,4,2,1,5] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,6,7,4,2,5,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,6,7,4,5,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[3,6,7,4,5,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[3,6,7,5,1,2,4] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,6,7,5,1,4,2] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,6,7,5,2,1,4] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,6,7,5,2,4,1] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,6,7,5,4,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[3,6,7,5,4,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[3,7,1,2,4,5,6] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,7,1,2,4,6,5] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,1,2,5,4,6] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,1,2,5,6,4] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,7,1,2,6,4,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,1,2,6,5,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,1,4,2,5,6] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,7,1,4,2,6,5] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,1,4,5,2,6] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,7,1,4,5,6,2] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,7,1,4,6,2,5] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[3,7,1,4,6,5,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,7,1,5,2,4,6] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,7,1,5,2,6,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,1,5,4,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,1,5,4,6,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,1,5,6,2,4] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[3,7,1,5,6,4,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,1,6,2,4,5] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[3,7,1,6,2,5,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,1,6,4,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,1,6,4,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,1,6,5,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,7,1,6,5,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,2,1,4,5,6] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,7,2,1,4,6,5] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,7,2,1,5,4,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,2,1,5,6,4] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,2,1,6,4,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,2,1,6,5,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,2,4,1,5,6] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[3,7,2,4,1,6,5] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,7,2,4,5,1,6] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[3,7,2,4,5,6,1] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[3,7,2,4,6,1,5] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[3,7,2,4,6,5,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,2,5,1,4,6] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[3,7,2,5,1,6,4] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,2,5,4,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,2,5,4,6,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,2,5,6,1,4] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[3,7,2,5,6,4,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,7,2,6,1,4,5] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[3,7,2,6,1,5,4] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,2,6,4,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,2,6,4,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,2,6,5,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,2,6,5,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,4,1,2,5,6] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,7,4,1,2,6,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,4,1,5,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,4,1,5,6,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,1,6,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,1,6,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,4,2,1,5,6] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,2,1,6,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,4,2,5,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,2,5,6,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[3,7,4,2,6,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[3,7,4,2,6,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,4,5,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,4,5,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,4,5,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,4,5,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,4,5,6,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,4,5,6,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,4,6,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,4,6,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,6,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,4,6,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,4,6,5,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[3,7,4,6,5,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[3,7,5,1,2,4,6] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,5,1,2,6,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,5,1,4,2,6] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,5,1,4,6,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,7,5,1,6,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,7,5,1,6,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,5,2,1,4,6] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[3,7,5,2,1,6,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,5,2,4,1,6] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[3,7,5,2,4,6,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,5,2,6,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,5,2,6,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,5,4,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,5,4,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,5,4,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[3,7,5,4,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[3,7,5,4,6,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[3,7,5,4,6,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[3,7,5,6,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,7,5,6,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,7,5,6,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,7,5,6,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,7,5,6,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,5,6,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,6,1,2,4,5] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,7,6,1,2,5,4] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,6,1,4,2,5] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,7,6,1,4,5,2] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[3,7,6,1,5,2,4] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[3,7,6,1,5,4,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,6,2,1,4,5] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[3,7,6,2,1,5,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,6,2,4,1,5] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[3,7,6,2,4,5,1] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[3,7,6,2,5,1,4] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[3,7,6,2,5,4,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,6,4,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,6,4,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,6,4,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[3,7,6,4,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[3,7,6,4,5,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,6,4,5,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,6,5,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,7,6,5,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,7,6,5,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[3,7,6,5,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[3,7,6,5,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[3,7,6,5,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,1,2,3,5,6,7] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,1,2,3,5,7,6] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,1,2,3,6,5,7] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,1,2,3,6,7,5] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,1,2,3,7,5,6] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,1,2,3,7,6,5] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,1,2,5,3,6,7] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,5,3,7,6] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,5,6,3,7] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,1,2,5,6,7,3] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,5,7,3,6] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[4,1,2,5,7,6,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,1,2,6,3,5,7] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,1,2,6,3,7,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,1,2,6,5,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,1,2,6,5,7,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,1,2,6,7,3,5] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[4,1,2,6,7,5,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,7,3,5,6] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[4,1,2,7,3,6,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,7,5,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,7,5,6,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,2,7,6,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,1,2,7,6,5,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,1,3,2,5,6,7] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,1,3,2,5,7,6] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,1,3,2,6,5,7] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,1,3,2,6,7,5] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[4,1,3,2,7,5,6] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,1,3,2,7,6,5] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,1,3,5,2,6,7] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,5,2,7,6] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,5,6,2,7] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,3,5,6,7,2] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,5,7,2,6] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,1,3,5,7,6,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,3,6,2,5,7] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,3,6,2,7,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,3,6,5,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,3,6,5,7,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,1,3,6,7,2,5] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,1,3,6,7,5,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,7,2,5,6] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,1,3,7,2,6,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,7,5,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,7,5,6,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,3,7,6,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,3,7,6,5,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,2,3,6,7] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,2,3,7,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,2,6,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,5,2,6,7,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,2,7,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,1,5,2,7,6,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,5,3,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,3,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,5,3,6,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,1,5,3,6,7,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,3,7,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,1,5,3,7,6,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,6,2,3,7] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,6,2,7,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,1,5,6,3,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,1,5,6,3,7,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,6,7,2,3] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,1,5,6,7,3,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,1,5,7,2,3,6] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,1,5,7,2,6,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,7,3,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,7,3,6,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,1,5,7,6,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,5,7,6,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,2,3,5,7] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,6,2,3,7,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,6,2,5,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,2,5,7,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,1,6,2,7,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,1,6,2,7,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,3,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,1,6,3,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,3,5,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,1,6,3,5,7,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,6,3,7,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,3,7,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,6,5,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,6,5,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,5,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,5,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,1,6,5,7,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,1,6,5,7,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,1,6,7,2,3,5] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,7,2,5,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,6,7,3,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,6,7,3,5,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,6,7,5,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,1,6,7,5,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,1,7,2,3,5,6] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,1,7,2,3,6,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,2,5,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,1,7,2,5,6,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,2,6,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,2,6,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,1,7,3,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,3,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,1,7,3,5,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,3,5,6,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,1,7,3,6,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,1,7,3,6,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,5,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,5,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,1,7,5,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,1,7,5,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,5,6,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,5,6,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,6,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,7,6,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,6,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,6,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,1,7,6,5,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,1,7,6,5,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,3,5,6,7] => [1,3,5,6,7,2,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,3,5,7,6] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,1,3,6,5,7] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,2,1,3,6,7,5] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,3,7,5,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,3,7,6,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,5,3,6,7] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,5,3,7,6] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,5,6,3,7] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,5,6,7,3] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,2,1,5,7,3,6] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,2,1,5,7,6,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,6,3,5,7] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,1,6,3,7,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,1,6,5,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,1,6,5,7,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,2,1,6,7,3,5] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,6,7,5,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,2,1,7,3,5,6] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,2,1,7,3,6,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,7,5,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,7,5,6,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,1,7,6,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,1,7,6,5,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,1,5,6,7] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,2,3,1,5,7,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,1,6,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,2,3,1,6,7,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,2,3,1,7,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,1,7,6,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,5,1,6,7] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,5,1,7,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,3,5,6,1,7] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,2,3,5,6,7,1] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,2,3,5,7,1,6] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,3,5,7,6,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,2,3,6,1,5,7] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,2,3,6,1,7,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,6,5,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,6,5,7,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,2,3,6,7,1,5] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,6,7,5,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,2,3,7,1,5,6] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,7,1,6,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,3,7,5,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,3,7,5,6,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,2,3,7,6,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,3,7,6,5,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,2,5,1,3,6,7] => [1,3,6,7,2,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,2,5,1,3,7,6] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,5,1,6,3,7] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,1,6,7,3] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,5,1,7,3,6] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,2,5,1,7,6,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,3,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,5,3,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,3,6,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,2,5,3,6,7,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,5,3,7,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,3,7,6,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,5,6,1,3,7] => [1,3,7,2,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,2,5,6,1,7,3] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,6,3,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,5,6,3,7,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,2,5,6,7,1,3] => [1,3,2,5,6,7,4] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,2,5,6,7,3,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,5,7,1,3,6] => [1,3,6,2,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,2,5,7,1,6,3] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,2,5,7,3,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,2,5,7,3,6,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[4,2,5,7,6,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,2,5,7,6,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,2,6,1,3,5,7] => [1,3,5,7,2,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,2,6,1,3,7,5] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,1,5,3,7] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,6,1,5,7,3] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,1,7,3,5] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,1,7,5,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,2,6,3,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,3,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,2,6,3,5,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,3,5,7,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,2,6,3,7,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,6,3,7,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,2,6,5,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,5,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,2,6,5,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,2,6,5,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,2,6,5,7,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,2,6,5,7,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,2,6,7,1,3,5] => [1,3,5,2,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,7,1,5,3] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,7,3,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,6,7,3,5,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[4,2,6,7,5,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[4,2,6,7,5,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,7,1,3,5,6] => [1,3,5,6,2,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,7,1,3,6,5] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,7,1,5,3,6] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,2,7,1,5,6,3] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,2,7,1,6,3,5] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,2,7,1,6,5,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,7,3,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,2,7,3,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,7,3,5,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,2,7,3,5,6,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[4,2,7,3,6,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,2,7,3,6,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,7,5,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,2,7,5,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,7,5,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,7,5,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,7,5,6,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,2,7,5,6,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,2,7,6,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,2,7,6,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,7,6,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,2,7,6,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,2,7,6,5,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,2,7,6,5,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,1,2,5,6,7] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,1,2,5,7,6] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,3,1,2,6,5,7] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,3,1,2,6,7,5] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,1,2,7,5,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,1,2,7,6,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,1,5,2,6,7] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,5,2,7,6] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,3,1,5,6,2,7] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,3,1,5,6,7,2] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,3,1,5,7,2,6] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,5,7,6,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,6,2,5,7] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,3,1,6,2,7,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,6,5,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,6,5,7,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,3,1,6,7,2,5] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,1,6,7,5,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,3,1,7,2,5,6] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,7,2,6,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,3,1,7,5,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,3,1,7,5,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,7,6,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,1,7,6,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,1,5,6,7] => [1,5,6,7,2,3,4] => {{1},{2,5},{3,6},{4,7}} => {{1},{2,7},{3,6},{4,5}}
[4,3,2,1,5,7,6] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,1,6,5,7] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,3,2,1,6,7,5] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,3,2,1,7,5,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,1,7,6,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,5,1,6,7] => [1,6,7,2,5,3,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,2,5,1,7,6] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,5,6,1,7] => [1,7,2,5,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,5,6,7,1] => [1,2,5,6,7,3,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,2,5,7,1,6] => [1,6,2,5,7,3,4] => {{1},{2,3,6},{4,5,7}} => {{1},{2,3,5,6},{4,7}}
[4,3,2,5,7,6,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,3,2,6,1,5,7] => [1,5,7,2,6,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,6,1,7,5] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,3,2,6,5,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,3,2,6,5,7,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,3,2,6,7,1,5] => [1,5,2,6,7,3,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,6,7,5,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,2,7,1,5,6] => [1,5,6,2,7,3,4] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[4,3,2,7,1,6,5] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,7,5,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,2,7,5,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,2,7,6,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,3,2,7,6,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,5,1,2,6,7] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[4,3,5,1,2,7,6] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,3,5,1,6,2,7] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,3,5,1,6,7,2] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,5,1,7,2,6] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,5,1,7,6,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,5,2,1,6,7] => [1,6,7,2,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,5,2,1,7,6] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,5,2,6,1,7] => [1,7,2,6,3,5,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,5,2,6,7,1] => [1,2,6,7,3,5,4] => {{1},{2},{3,5,6},{4,7}} => {{1},{2},{3,6},{4,5,7}}
[4,3,5,2,7,1,6] => [1,6,2,7,3,5,4] => {{1},{2,3,5,6},{4,7}} => {{1},{2,3,6},{4,5,7}}
[4,3,5,2,7,6,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,3,5,6,1,2,7] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[4,3,5,6,1,7,2] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,3,5,6,2,1,7] => [1,7,2,3,5,6,4] => {{1},{2,3,4,7},{5},{6}} => {{1},{2,3,4,7},{5},{6}}
[4,3,5,6,2,7,1] => [1,2,7,3,5,6,4] => {{1},{2},{3,4,7},{5},{6}} => {{1},{2},{3,4,7},{5},{6}}
[4,3,5,6,7,1,2] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,5,6,7,2,1] => [1,2,3,5,6,7,4] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,5,7,1,2,6] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,3,5,7,1,6,2] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,5,7,2,1,6] => [1,6,2,3,5,7,4] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,3,5,7,2,6,1] => [1,2,6,3,5,7,4] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,3,5,7,6,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,5,7,6,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,6,1,2,5,7] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[4,3,6,1,2,7,5] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,1,5,2,7] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,3,6,1,5,7,2] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,3,6,1,7,2,5] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,3,6,1,7,5,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,2,1,5,7] => [1,5,7,2,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,3,6,2,1,7,5] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,2,5,1,7] => [1,7,2,5,3,6,4] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,3,6,2,5,7,1] => [1,2,5,7,3,6,4] => {{1},{2},{3,5},{4,7},{6}} => {{1},{2},{3,7},{4,5},{6}}
[4,3,6,2,7,1,5] => [1,5,2,7,3,6,4] => {{1},{2,3,5},{4,7},{6}} => {{1},{2,3,7},{4,5},{6}}
[4,3,6,2,7,5,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,5,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,5,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,5,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,5,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,5,7,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,3,6,5,7,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,3,6,7,1,2,5] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,7,1,5,2] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,7,2,1,5] => [1,5,2,3,6,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,6,7,2,5,1] => [1,2,5,3,6,7,4] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,6,7,5,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,3,6,7,5,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,3,7,1,2,5,6] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,3,7,1,2,6,5] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,3,7,1,5,2,6] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,3,7,1,5,6,2] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,1,6,2,5] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,1,6,5,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,3,7,2,1,5,6] => [1,5,6,2,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,2,1,6,5] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,3,7,2,5,1,6] => [1,6,2,5,3,7,4] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,2,5,6,1] => [1,2,5,6,3,7,4] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,3,7,2,6,1,5] => [1,5,2,6,3,7,4] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,3,7,2,6,5,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,3,7,5,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,3,7,5,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,3,7,5,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,3,7,5,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,3,7,5,6,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,7,5,6,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,7,6,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,7,6,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,6,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,3,7,6,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,3,7,6,5,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,3,7,6,5,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,1,2,3,6,7] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,5,1,2,3,7,6] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,1,2,6,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,5,1,2,6,7,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,1,2,7,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,1,2,7,6,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,1,3,2,6,7] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[4,5,1,3,2,7,6] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,5,1,3,6,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,1,3,6,7,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,3,7,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,3,7,6,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,6,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,1,6,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,6,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,6,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,1,6,7,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,1,6,7,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,1,7,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,7,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,1,7,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,1,7,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,7,6,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,1,7,6,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,1,3,6,7] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,1,3,7,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,1,6,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,2,1,6,7,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,2,1,7,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,1,7,6,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,3,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,2,3,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,3,6,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,3,6,7,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,5,2,3,7,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,2,3,7,6,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,2,6,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,6,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,2,6,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,2,6,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,5,2,6,7,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[4,5,2,6,7,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,2,7,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,2,7,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,7,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,2,7,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,2,7,6,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,5,2,7,6,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,1,2,6,7] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,1,2,7,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,1,6,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,1,6,7,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,3,1,7,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,3,1,7,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,2,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[4,5,3,2,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,2,6,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[4,5,3,2,6,7,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,2,7,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,2,7,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,6,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,6,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,6,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,3,6,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,3,6,7,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,5,3,6,7,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[4,5,3,7,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,5,3,7,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,3,7,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[4,5,3,7,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[4,5,3,7,6,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,3,7,6,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,6,1,2,3,7] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,6,1,2,7,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,6,1,3,2,7] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,5,6,1,3,7,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,1,7,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,1,7,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,2,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,2,1,7,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,2,3,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,2,3,7,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,6,2,7,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,5,6,2,7,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,6,3,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,6,3,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,3,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,5,6,3,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,5,6,3,7,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,6,3,7,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,5,6,7,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[4,5,6,7,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[4,5,6,7,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[4,5,6,7,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[4,5,7,1,2,3,6] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,5,7,1,2,6,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,5,7,1,3,2,6] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,5,7,1,3,6,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,1,6,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,1,6,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,2,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,2,1,6,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,2,3,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,2,3,6,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,5,7,2,6,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,5,7,2,6,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,5,7,3,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,5,7,3,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,3,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,5,7,3,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,5,7,3,6,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,5,7,3,6,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,5,7,6,1,2,3] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,1,3,2] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[4,5,7,6,2,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[4,5,7,6,2,3,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,3,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[4,5,7,6,3,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[4,6,1,2,3,5,7] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,6,1,2,3,7,5] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,1,2,5,3,7] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,6,1,2,5,7,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,6,1,2,7,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,6,1,2,7,5,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,1,3,2,5,7] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,6,1,3,2,7,5] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[4,6,1,3,5,2,7] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,3,5,7,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,1,3,7,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,1,3,7,5,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,1,5,2,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,5,2,7,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,1,5,3,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,1,5,3,7,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,5,7,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,5,7,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,7,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,1,7,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,7,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,1,7,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,1,7,5,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,1,7,5,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,2,1,3,5,7] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,2,1,3,7,5] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,2,1,5,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,1,5,7,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,1,7,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,2,1,7,5,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,2,3,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,3,1,7,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,2,3,5,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,2,3,5,7,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,6,2,3,7,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,3,7,5,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,2,5,1,3,7] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,2,5,1,7,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,5,3,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,5,3,7,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,6,2,5,7,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,6,2,5,7,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,6,2,7,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,2,7,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,2,7,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,2,7,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,6,2,7,5,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[4,6,2,7,5,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,3,1,2,5,7] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,6,3,1,2,7,5] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,3,1,5,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,3,1,5,7,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,1,7,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,1,7,5,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,3,2,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,2,1,7,5] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,3,2,5,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,2,5,7,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[4,6,3,2,7,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[4,6,3,2,7,5,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,3,5,1,2,7] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,6,3,5,1,7,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,3,5,2,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[4,6,3,5,2,7,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[4,6,3,5,7,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,6,3,5,7,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,6,3,7,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,6,3,7,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,7,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,6,3,7,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,6,3,7,5,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,3,7,5,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,5,1,2,3,7] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,5,1,2,7,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,5,1,3,2,7] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[4,6,5,1,3,7,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,1,7,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,1,7,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,2,1,3,7] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,2,1,7,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,2,3,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,2,3,7,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,5,2,7,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[4,6,5,2,7,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,5,3,1,2,7] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,5,3,1,7,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,3,2,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[4,6,5,3,2,7,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[4,6,5,3,7,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,5,3,7,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[4,6,5,7,1,2,3] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,1,3,2] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[4,6,5,7,2,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[4,6,5,7,2,3,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,3,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[4,6,5,7,3,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[4,6,7,1,2,3,5] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[4,6,7,1,2,5,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[4,6,7,1,3,2,5] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[4,6,7,1,3,5,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,1,5,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,1,5,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,2,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,2,1,5,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,2,3,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,2,3,5,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[4,6,7,2,5,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[4,6,7,2,5,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,3,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[4,6,7,3,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[4,6,7,3,5,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[4,6,7,3,5,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[4,6,7,5,1,2,3] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,1,3,2] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,6,7,5,2,1,3] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,6,7,5,2,3,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,3,1,2] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,6,7,5,3,2,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,1,2,3,5,6] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,7,1,2,3,6,5] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,1,2,5,3,6] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,7,1,2,5,6,3] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[4,7,1,2,6,3,5] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[4,7,1,2,6,5,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,1,3,2,5,6] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,7,1,3,2,6,5] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,7,1,3,5,2,6] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,3,5,6,2] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,1,3,6,2,5] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,1,3,6,5,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,1,5,2,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,5,2,6,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,1,5,3,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,1,5,3,6,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,5,6,2,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,5,6,3,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,6,2,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,1,6,2,5,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,6,3,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,1,6,3,5,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,1,6,5,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,1,6,5,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,2,1,3,5,6] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,2,1,3,6,5] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,2,1,5,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,1,5,6,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,1,6,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,2,1,6,5,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,2,3,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,3,1,6,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,2,3,5,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,2,3,5,6,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,7,2,3,6,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,3,6,5,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,2,5,1,3,6] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,2,5,1,6,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,5,3,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,5,3,6,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,7,2,5,6,1,3] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[4,7,2,5,6,3,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[4,7,2,6,1,3,5] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,2,6,1,5,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,2,6,3,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,2,6,3,5,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[4,7,2,6,5,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,7,2,6,5,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,3,1,2,5,6] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[4,7,3,1,2,6,5] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,3,1,5,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,3,1,5,6,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,1,6,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,1,6,5,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,3,2,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,2,1,6,5] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,3,2,5,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,2,5,6,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[4,7,3,2,6,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[4,7,3,2,6,5,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,3,5,1,2,6] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[4,7,3,5,1,6,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,3,5,2,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[4,7,3,5,2,6,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[4,7,3,5,6,1,2] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,7,3,5,6,2,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[4,7,3,6,1,2,5] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,7,3,6,1,5,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,6,2,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[4,7,3,6,2,5,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[4,7,3,6,5,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,3,6,5,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,5,1,2,3,6] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,5,1,2,6,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,5,1,3,2,6] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,7,5,1,3,6,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,1,6,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,1,6,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,2,1,3,6] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,2,1,6,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,2,3,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,2,3,6,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,5,2,6,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[4,7,5,2,6,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,5,3,1,2,6] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,5,3,1,6,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,3,2,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[4,7,5,3,2,6,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[4,7,5,3,6,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,5,3,6,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[4,7,5,6,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,7,5,6,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,7,5,6,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,5,6,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,6,1,2,3,5] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[4,7,6,1,2,5,3] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[4,7,6,1,3,2,5] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[4,7,6,1,3,5,2] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,1,5,2,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,1,5,3,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,2,1,3,5] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,2,1,5,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,2,3,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,2,3,5,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[4,7,6,2,5,1,3] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[4,7,6,2,5,3,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[4,7,6,3,1,2,5] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[4,7,6,3,1,5,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,3,2,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[4,7,6,3,2,5,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[4,7,6,3,5,1,2] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[4,7,6,3,5,2,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[4,7,6,5,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,7,6,5,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[4,7,6,5,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[4,7,6,5,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,4,6,7] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,4,7,6] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,1,2,3,6,4,7] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,1,2,3,6,7,4] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,1,2,3,7,4,6] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,1,2,3,7,6,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,1,2,4,3,6,7] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,1,2,4,3,7,6] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,1,2,4,6,3,7] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,4,6,7,3] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,1,2,4,7,3,6] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,1,2,4,7,6,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,6,3,4,7] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,6,3,7,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,1,2,6,4,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,1,2,6,4,7,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,6,7,3,4] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,6,7,4,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,7,3,4,6] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,1,2,7,3,6,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,7,4,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,7,4,6,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,1,2,7,6,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,2,7,6,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,1,3,2,4,6,7] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,1,3,2,4,7,6] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,1,3,2,6,4,7] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,1,3,2,6,7,4] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[5,1,3,2,7,4,6] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[5,1,3,2,7,6,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,1,3,4,2,6,7] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,3,4,2,7,6] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,3,4,6,2,7] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,4,6,7,2] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,3,4,7,2,6] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,3,4,7,6,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,6,2,4,7] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,6,2,7,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,3,6,4,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,3,6,4,7,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,6,7,2,4] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,6,7,4,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,7,2,4,6] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,3,7,2,6,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,7,4,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,7,4,6,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,3,7,6,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,3,7,6,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,4,2,3,6,7] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,4,2,3,7,6] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,4,2,6,3,7] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,4,2,6,7,3] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,4,2,7,3,6] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,4,2,7,6,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,4,3,2,6,7] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,4,3,2,7,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,4,3,6,2,7] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,4,3,6,7,2] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,4,3,7,2,6] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,4,3,7,6,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,1,4,6,2,3,7] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,4,6,2,7,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,1,4,6,3,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,1,4,6,3,7,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,4,6,7,2,3] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,1,4,6,7,3,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,1,4,7,2,3,6] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,1,4,7,2,6,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,4,7,3,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,4,7,3,6,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,1,4,7,6,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,4,7,6,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,1,6,2,3,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,2,3,7,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,6,2,4,3,7] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,6,2,4,7,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,1,6,2,7,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,2,7,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,3,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,1,6,3,2,7,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,3,4,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,3,4,7,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,3,7,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,6,3,7,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,6,4,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,6,4,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,4,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,4,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,1,6,4,7,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,4,7,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,7,2,3,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,1,6,7,2,4,3] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,7,3,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,6,7,3,4,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,1,6,7,4,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,1,6,7,4,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,1,7,2,3,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,7,2,3,6,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,2,4,3,6] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,1,7,2,4,6,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,7,2,6,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,2,6,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,3,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,7,3,2,6,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,3,4,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,3,4,6,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,7,3,6,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,1,7,3,6,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,4,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,4,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,4,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,1,7,4,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,4,6,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,7,4,6,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,1,7,6,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,6,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,7,6,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,1,7,6,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,6,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,1,7,6,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,3,4,6,7] => [1,3,4,6,7,2,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,1,3,4,7,6] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,3,6,4,7] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,3,6,7,4] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,3,7,4,6] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,1,3,7,6,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,4,3,6,7] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,1,4,3,7,6] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,1,4,6,3,7] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,1,4,6,7,3] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,2,1,4,7,3,6] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,2,1,4,7,6,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,1,6,3,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,6,3,7,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,1,6,4,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,1,6,4,7,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,6,7,3,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,2,1,6,7,4,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,2,1,7,3,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,1,7,3,6,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,7,4,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,7,4,6,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,1,7,6,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,1,7,6,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,1,4,6,7] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,2,3,1,4,7,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,3,1,6,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,1,6,7,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,2,3,1,7,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,3,1,7,6,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,4,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,2,3,4,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,4,6,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,3,4,6,7,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,2,3,4,7,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,4,7,6,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,2,3,6,1,4,7] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,2,3,6,1,7,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,6,4,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,3,6,4,7,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,2,3,6,7,1,4] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,3,6,7,4,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,2,3,7,1,4,6] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,3,7,1,6,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,3,7,4,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,3,7,4,6,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,2,3,7,6,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,3,7,6,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,2,4,1,3,6,7] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,4,1,3,7,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,4,1,6,3,7] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,1,6,7,3] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,4,1,7,3,6] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,2,4,1,7,6,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,3,1,6,7] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,4,3,1,7,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,3,6,1,7] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,2,4,3,6,7,1] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,2,4,3,7,1,6] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,3,7,6,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,2,4,6,1,3,7] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,4,6,1,7,3] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,6,3,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,2,4,6,3,7,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,4,6,7,1,3] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,2,4,6,7,3,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,2,4,7,1,3,6] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,4,7,1,6,3] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,2,4,7,3,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,2,4,7,3,6,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,2,4,7,6,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,2,4,7,6,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,6,1,3,4,7] => [1,3,4,7,2,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,6,1,3,7,4] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,6,1,4,3,7] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,6,1,4,7,3] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,6,1,7,3,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,1,7,4,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,3,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,2,6,3,1,7,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,3,4,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,3,4,7,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,6,3,7,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,6,3,7,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,2,6,4,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,6,4,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,4,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,2,6,4,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,2,6,4,7,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,2,6,4,7,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,6,7,1,3,4] => [1,3,4,2,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,6,7,1,4,3] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,6,7,3,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,6,7,3,4,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,6,7,4,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[5,2,6,7,4,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,7,1,3,4,6] => [1,3,4,6,2,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,1,3,6,4] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,7,1,4,3,6] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,7,1,4,6,3] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,2,7,1,6,3,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,1,6,4,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,3,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,2,7,3,1,6,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,3,4,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,3,4,6,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,2,7,3,6,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,2,7,3,6,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,7,4,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,2,7,4,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,4,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,4,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,7,4,6,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[5,2,7,4,6,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,2,7,6,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,2,7,6,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,6,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,2,7,6,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,2,7,6,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,2,7,6,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,1,2,4,6,7] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,1,2,4,7,6] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,1,2,6,4,7] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,1,2,6,7,4] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,1,2,7,4,6] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,1,2,7,6,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,1,4,2,6,7] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,1,4,2,7,6] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,1,4,6,2,7] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,3,1,4,6,7,2] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,3,1,4,7,2,6] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,1,4,7,6,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,1,6,2,4,7] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,3,1,6,2,7,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,1,6,4,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,1,6,4,7,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,1,6,7,2,4] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,1,6,7,4,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,3,1,7,2,4,6] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,1,7,2,6,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,1,7,4,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,1,7,4,6,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,1,7,6,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,1,7,6,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,1,4,6,7] => [1,4,6,7,2,3,5] => {{1},{2,4,5,7},{3,6}} => {{1},{2,5,6},{3,4,7}}
[5,3,2,1,4,7,6] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,2,1,6,4,7] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,1,6,7,4] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,3,2,1,7,4,6] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,2,1,7,6,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,4,1,6,7] => [1,6,7,2,4,3,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,4,1,7,6] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,2,4,6,1,7] => [1,7,2,4,6,3,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,2,4,6,7,1] => [1,2,4,6,7,3,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,2,4,7,1,6] => [1,6,2,4,7,3,5] => {{1},{2,3,6},{4},{5,7}} => {{1},{2,3,7},{4},{5,6}}
[5,3,2,4,7,6,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,2,6,1,4,7] => [1,4,7,2,6,3,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,2,6,1,7,4] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,2,6,4,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,2,6,4,7,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,2,6,7,1,4] => [1,4,2,6,7,3,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,2,6,7,4,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,2,7,1,4,6] => [1,4,6,2,7,3,5] => {{1},{2,4},{3,6},{5,7}} => {{1},{2,7},{3,4},{5,6}}
[5,3,2,7,1,6,4] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,7,4,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,7,4,6,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,2,7,6,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,2,7,6,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,1,2,6,7] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,1,2,7,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,1,6,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,1,6,7,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,3,4,1,7,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,4,1,7,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,2,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,3,4,2,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,2,6,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,3,4,2,6,7,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,2,7,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,2,7,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,6,1,2,7] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,4,6,1,7,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,4,6,2,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,4,6,2,7,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,4,6,7,1,2] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,3,4,6,7,2,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,3,4,7,1,2,6] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,7,1,6,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,7,2,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,4,7,2,6,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,4,7,6,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,3,4,7,6,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,3,6,1,2,4,7] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,6,1,2,7,4] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,6,1,4,2,7] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,6,1,4,7,2] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,3,6,1,7,2,4] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,3,6,1,7,4,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,6,2,1,4,7] => [1,4,7,2,3,6,5] => {{1},{2,4},{3,5,7},{6}} => {{1},{2,5,7},{3,4},{6}}
[5,3,6,2,1,7,4] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,6,2,4,1,7] => [1,7,2,4,3,6,5] => {{1},{2,3,5,7},{4},{6}} => {{1},{2,3,5,7},{4},{6}}
[5,3,6,2,4,7,1] => [1,2,4,7,3,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,3,6,2,7,1,4] => [1,4,2,7,3,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,3,6,2,7,4,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,6,4,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,6,4,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,6,4,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,6,4,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,6,4,7,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,3,6,4,7,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,3,6,7,1,2,4] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,3,6,7,1,4,2] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,3,6,7,2,1,4] => [1,4,2,3,6,7,5] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,3,6,7,2,4,1] => [1,2,4,3,6,7,5] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,3,6,7,4,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,3,6,7,4,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,3,7,1,2,4,6] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,7,1,2,6,4] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,7,1,4,2,6] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,7,1,4,6,2] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,7,1,6,2,4] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,7,1,6,4,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,7,2,1,4,6] => [1,4,6,2,3,7,5] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,3,7,2,1,6,4] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,7,2,4,1,6] => [1,6,2,4,3,7,5] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,3,7,2,4,6,1] => [1,2,4,6,3,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,3,7,2,6,1,4] => [1,4,2,6,3,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,3,7,2,6,4,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,7,4,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,7,4,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,7,4,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,3,7,4,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,3,7,4,6,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,3,7,4,6,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,3,7,6,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,3,7,6,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,3,7,6,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,3,7,6,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,3,7,6,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,3,7,6,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,1,2,3,6,7] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,4,1,2,3,7,6] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,1,2,6,3,7] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,4,1,2,6,7,3] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,1,2,7,3,6] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,1,2,7,6,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,1,3,2,6,7] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[5,4,1,3,2,7,6] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,4,1,3,6,2,7] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,1,3,6,7,2] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,3,7,2,6] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,3,7,6,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,6,2,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,1,6,2,7,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,6,3,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,6,3,7,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,1,6,7,2,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,1,6,7,3,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,1,7,2,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,7,2,6,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,1,7,3,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,1,7,3,6,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,7,6,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,1,7,6,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,1,3,6,7] => [1,3,6,7,2,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,1,3,7,6] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,1,6,3,7] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,2,1,6,7,3] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,2,1,7,3,6] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,1,7,6,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,3,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,2,3,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,3,6,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,3,6,7,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,4,2,3,7,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,2,3,7,6,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,2,6,1,3,7] => [1,3,7,2,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,6,1,7,3] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,2,6,3,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,2,6,3,7,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,4,2,6,7,1,3] => [1,3,2,6,7,4,5] => {{1},{2,3},{4,6},{5,7}} => {{1},{2,3},{4,7},{5,6}}
[5,4,2,6,7,3,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,2,7,1,3,6] => [1,3,6,2,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,2,7,1,6,3] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,7,3,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,2,7,3,6,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,2,7,6,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,4,2,7,6,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,1,2,6,7] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,1,2,7,6] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,1,6,2,7] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,1,6,7,2] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,3,1,7,2,6] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,3,1,7,6,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,2,1,6,7] => [1,6,7,2,3,4,5] => {{1},{2,4,6},{3,5,7}} => {{1},{2,7},{3,4,5,6}}
[5,4,3,2,1,7,6] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,2,6,1,7] => [1,7,2,6,3,4,5] => {{1},{2,3,5,7},{4,6}} => {{1},{2,3,7},{4,5,6}}
[5,4,3,2,6,7,1] => [1,2,6,7,3,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,2,7,1,6] => [1,6,2,7,3,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,2,7,6,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,6,1,2,7] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,6,1,7,2] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,6,2,1,7] => [1,7,2,3,6,4,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,3,6,2,7,1] => [1,2,7,3,6,4,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,3,6,7,1,2] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,4,3,6,7,2,1] => [1,2,3,6,7,4,5] => {{1},{2},{3},{4,6},{5,7}} => {{1},{2},{3},{4,7},{5,6}}
[5,4,3,7,1,2,6] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,4,3,7,1,6,2] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,3,7,2,1,6] => [1,6,2,3,7,4,5] => {{1},{2,3,4,6},{5,7}} => {{1},{2,3,4,7},{5,6}}
[5,4,3,7,2,6,1] => [1,2,6,3,7,4,5] => {{1},{2},{3,4,6},{5,7}} => {{1},{2},{3,4,7},{5,6}}
[5,4,3,7,6,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,3,7,6,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,6,1,2,3,7] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,4,6,1,2,7,3] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,4,6,1,3,2,7] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[5,4,6,1,3,7,2] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,1,7,2,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,1,7,3,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,2,1,3,7] => [1,3,7,2,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,2,1,7,3] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,2,3,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,2,3,7,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,4,6,2,7,1,3] => [1,3,2,7,4,6,5] => {{1},{2,3},{4,5,7},{6}} => {{1},{2,3},{4,5,7},{6}}
[5,4,6,2,7,3,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,4,6,3,1,2,7] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,4,6,3,1,7,2] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,3,2,1,7] => [1,7,2,3,4,6,5] => {{1},{2,3,4,5,7},{6}} => {{1},{2,3,4,5,7},{6}}
[5,4,6,3,2,7,1] => [1,2,7,3,4,6,5] => {{1},{2},{3,4,5,7},{6}} => {{1},{2},{3,4,5,7},{6}}
[5,4,6,3,7,1,2] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,4,6,3,7,2,1] => [1,2,3,7,4,6,5] => {{1},{2},{3},{4,5,7},{6}} => {{1},{2},{3},{4,5,7},{6}}
[5,4,6,7,1,2,3] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,1,3,2] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,4,6,7,2,1,3] => [1,3,2,4,6,7,5] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,4,6,7,2,3,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,3,1,2] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,6,7,3,2,1] => [1,2,3,4,6,7,5] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,7,1,2,3,6] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,7,1,2,6,3] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,7,1,3,2,6] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,4,7,1,3,6,2] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,1,6,2,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,1,6,3,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,2,1,3,6] => [1,3,6,2,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,2,1,6,3] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,2,3,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,2,3,6,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,7,2,6,1,3] => [1,3,2,6,4,7,5] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,4,7,2,6,3,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,7,3,1,2,6] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,7,3,1,6,2] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,3,2,1,6] => [1,6,2,3,4,7,5] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,4,7,3,2,6,1] => [1,2,6,3,4,7,5] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,4,7,3,6,1,2] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,7,3,6,2,1] => [1,2,3,6,4,7,5] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,4,7,6,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,4,7,6,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,4,7,6,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,4,7,6,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,1,2,3,4,7] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,1,2,3,7,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,1,2,4,3,7] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,6,1,2,4,7,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,1,2,7,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,1,2,7,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,1,3,2,4,7] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,6,1,3,2,7,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,6,1,3,4,2,7] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,1,3,4,7,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,3,7,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,3,7,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,4,2,3,7] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,1,4,2,7,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,4,3,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,4,3,7,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,1,4,7,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,1,4,7,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,1,7,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,7,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,1,7,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,1,7,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,7,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,1,7,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,1,3,4,7] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,1,3,7,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,1,4,3,7] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,2,1,4,7,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,2,1,7,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,1,7,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,3,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,2,3,1,7,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,3,4,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,3,4,7,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,2,3,7,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,2,3,7,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,2,4,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,4,1,7,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,2,4,3,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,2,4,3,7,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,6,2,4,7,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,6,2,4,7,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,2,7,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,2,7,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,7,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,2,7,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,2,7,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,6,2,7,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,1,2,4,7] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,1,2,7,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,1,4,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,1,4,7,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,3,1,7,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,3,1,7,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,2,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[5,6,3,2,1,7,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,2,4,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[5,6,3,2,4,7,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,2,7,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,2,7,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,4,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,4,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,4,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,3,4,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,3,4,7,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,3,4,7,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,3,7,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,6,3,7,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,3,7,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[5,6,3,7,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[5,6,3,7,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,3,7,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,4,1,2,3,7] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,4,1,2,7,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,4,1,3,2,7] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,6,4,1,3,7,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,1,7,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,1,7,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,2,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,2,1,7,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,2,3,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,2,3,7,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,4,2,7,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[5,6,4,2,7,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,4,3,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,4,3,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,3,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[5,6,4,3,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[5,6,4,3,7,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,4,3,7,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[5,6,4,7,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,6,4,7,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[5,6,4,7,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,4,7,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[5,6,7,1,2,3,4] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,1,2,4,3] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[5,6,7,1,3,2,4] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[5,6,7,1,3,4,2] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,1,4,2,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,1,4,3,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,1,4,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,3,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,2,3,4,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,2,4,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[5,6,7,2,4,3,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,3,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[5,6,7,3,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[5,6,7,3,4,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,3,4,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[5,6,7,4,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[5,6,7,4,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,6,7,4,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[5,7,1,2,3,4,6] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,1,2,3,6,4] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,1,2,4,3,6] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[5,7,1,2,4,6,3] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,1,2,6,3,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,1,2,6,4,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,1,3,2,4,6] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[5,7,1,3,2,6,4] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[5,7,1,3,4,2,6] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,1,3,4,6,2] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,3,6,2,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,3,6,4,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,4,2,3,6] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,1,4,2,6,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,4,3,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,4,3,6,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,1,4,6,2,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,1,4,6,3,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,1,6,2,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,6,2,4,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,1,6,3,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,1,6,3,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,6,4,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,1,6,4,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,1,3,4,6] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,1,3,6,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,1,4,3,6] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,2,1,4,6,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,2,1,6,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,1,6,4,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,3,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,2,3,1,6,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,3,4,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,3,4,6,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,2,3,6,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,2,3,6,4,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,2,4,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,4,1,6,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,2,4,3,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,2,4,3,6,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[5,7,2,4,6,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[5,7,2,4,6,3,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,2,6,1,3,4] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,2,6,1,4,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,6,3,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,2,6,3,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,2,6,4,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[5,7,2,6,4,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,1,2,4,6] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,1,2,6,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,1,4,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,1,4,6,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,3,1,6,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,3,1,6,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,2,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[5,7,3,2,1,6,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,2,4,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[5,7,3,2,4,6,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,2,6,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,2,6,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,4,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,4,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,4,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,3,4,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,3,4,6,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,3,4,6,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,3,6,1,2,4] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[5,7,3,6,1,4,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,3,6,2,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[5,7,3,6,2,4,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[5,7,3,6,4,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,3,6,4,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,4,1,2,3,6] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,4,1,2,6,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,4,1,3,2,6] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[5,7,4,1,3,6,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,1,6,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,1,6,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,2,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,2,1,6,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,2,3,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,2,3,6,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,4,2,6,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[5,7,4,2,6,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,4,3,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,4,3,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,3,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[5,7,4,3,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[5,7,4,3,6,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,4,3,6,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[5,7,4,6,1,2,3] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,1,3,2] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[5,7,4,6,2,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[5,7,4,6,2,3,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,3,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,4,6,3,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[5,7,6,1,2,3,4] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,1,2,4,3] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[5,7,6,1,3,2,4] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[5,7,6,1,3,4,2] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,1,4,2,3] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,1,4,3,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,2,1,3,4] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,2,1,4,3] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,2,3,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,2,3,4,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,2,4,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[5,7,6,2,4,3,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,1,2,4] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,1,4,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,3,2,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[5,7,6,3,2,4,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[5,7,6,3,4,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,3,4,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,1,2,3] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,1,3,2] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[5,7,6,4,2,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[5,7,6,4,2,3,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,3,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[5,7,6,4,3,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,1,2,3,4,5,7] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,1,2,3,4,7,5] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,1,2,3,5,4,7] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,1,2,3,5,7,4] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,1,2,3,7,4,5] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,1,2,3,7,5,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,1,2,4,3,5,7] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,1,2,4,3,7,5] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,1,2,4,5,3,7] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,1,2,4,5,7,3] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,4,7,3,5] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,4,7,5,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,5,3,4,7] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,1,2,5,3,7,4] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,5,4,3,7] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,5,4,7,3] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,1,2,5,7,3,4] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,1,2,5,7,4,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,1,2,7,3,4,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,7,3,5,4] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,1,2,7,4,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,1,2,7,4,5,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,7,5,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,2,7,5,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,1,3,2,4,5,7] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,1,3,2,4,7,5] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,1,3,2,5,4,7] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[6,1,3,2,5,7,4] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,1,3,2,7,4,5] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,1,3,2,7,5,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,1,3,4,2,5,7] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,1,3,4,2,7,5] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,1,3,4,5,2,7] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,3,4,5,7,2] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,4,7,2,5] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,4,7,5,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,5,2,4,7] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,3,5,2,7,4] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,5,4,2,7] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,5,4,7,2] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,3,5,7,2,4] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,3,5,7,4,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,3,7,2,4,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,7,2,5,4] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,3,7,4,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,3,7,4,5,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,7,5,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,3,7,5,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,2,3,5,7] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,1,4,2,3,7,5] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,1,4,2,5,3,7] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,4,2,5,7,3] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,2,7,3,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,2,7,5,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,3,2,5,7] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,3,2,7,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,3,5,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,3,5,7,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,1,4,3,7,2,5] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,4,3,7,5,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,1,4,5,2,3,7] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,1,4,5,2,7,3] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,4,5,3,2,7] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,4,5,3,7,2] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,1,4,5,7,2,3] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,5,7,3,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,4,7,2,3,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,4,7,2,5,3] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,1,4,7,3,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,1,4,7,3,5,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,4,7,5,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,4,7,5,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,1,5,2,3,4,7] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,5,2,3,7,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,2,4,3,7] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,1,5,2,4,7,3] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,5,2,7,3,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,2,7,4,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,3,2,4,7] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,5,3,2,7,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,3,4,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,3,4,7,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,5,3,7,2,4] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,1,5,3,7,4,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,4,2,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,4,2,7,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,4,3,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,1,5,4,3,7,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,4,7,2,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,5,4,7,3,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,1,5,7,2,3,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,7,2,4,3] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,1,5,7,3,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,1,5,7,3,4,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,7,4,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,5,7,4,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,2,3,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,2,3,5,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,7,2,4,3,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,7,2,4,5,3] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,1,7,2,5,3,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,2,5,4,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,3,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,1,7,3,2,5,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,3,4,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,3,4,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,3,5,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,7,3,5,4,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,7,4,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,7,4,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,4,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,4,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,1,7,4,5,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,4,5,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,5,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,5,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,7,5,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,1,7,5,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,5,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,1,7,5,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,3,4,5,7] => [1,3,4,5,7,2,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,3,4,7,5] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,3,5,4,7] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,1,3,5,7,4] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,1,3,7,4,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,3,7,5,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,4,3,5,7] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,2,1,4,3,7,5] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,2,1,4,5,3,7] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,2,1,4,5,7,3] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,4,7,3,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,1,4,7,5,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,1,5,3,4,7] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,1,5,3,7,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,5,4,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,5,4,7,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,1,5,7,3,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,5,7,4,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,7,3,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,7,3,5,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,1,7,4,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,1,7,4,5,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,7,5,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,1,7,5,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,1,4,5,7] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,1,4,7,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,3,1,5,4,7] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,3,1,5,7,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,1,7,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,1,7,5,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,4,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,4,1,7,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,4,5,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,4,5,7,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,2,3,4,7,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,3,4,7,5,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,2,3,5,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,3,5,1,7,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,3,5,4,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,3,5,4,7,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,2,3,5,7,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,2,3,5,7,4,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,2,3,7,1,4,5] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,2,3,7,1,5,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,7,4,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,3,7,4,5,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,2,3,7,5,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,2,3,7,5,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,2,4,1,3,5,7] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,4,1,3,7,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,4,1,5,3,7] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,2,4,1,5,7,3] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,2,4,1,7,3,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,1,7,5,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,3,1,5,7] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,2,4,3,1,7,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,3,5,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,3,5,7,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,2,4,3,7,1,5] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,2,4,3,7,5,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,2,4,5,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,4,5,1,7,3] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,2,4,5,3,1,7] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,2,4,5,3,7,1] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,2,4,5,7,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,2,4,5,7,3,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,4,7,1,3,5] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,4,7,1,5,3] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,7,3,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,2,4,7,3,5,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,4,7,5,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,2,4,7,5,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,5,1,3,4,7] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,1,3,7,4] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,5,1,4,3,7] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,5,1,4,7,3] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,2,5,1,7,3,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,1,7,4,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,3,1,4,7] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,2,5,3,1,7,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,3,4,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,3,4,7,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,2,5,3,7,1,4] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,5,3,7,4,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,5,4,1,3,7] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,2,5,4,1,7,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,4,3,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,4,3,7,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,5,4,7,1,3] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[6,2,5,4,7,3,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,2,5,7,1,3,4] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,2,5,7,1,4,3] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,7,3,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,5,7,3,4,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,2,5,7,4,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,2,5,7,4,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,2,7,1,3,4,5] => [1,3,4,5,2,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,2,7,1,3,5,4] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,1,4,3,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,1,4,5,3] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,7,1,5,3,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,1,5,4,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,3,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,2,7,3,1,5,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,3,4,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,3,4,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,7,3,5,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,3,5,4,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,2,7,4,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,4,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,4,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,2,7,4,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,2,7,4,5,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,2,7,4,5,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,7,5,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,2,7,5,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,5,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,2,7,5,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,2,7,5,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,2,7,5,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,1,2,4,5,7] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,1,2,4,7,5] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,1,2,5,4,7] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,1,2,5,7,4] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,3,1,2,7,4,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,1,2,7,5,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,1,4,2,5,7] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,4,2,7,5] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,4,5,2,7] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,1,4,5,7,2] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,4,7,2,5] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,3,1,4,7,5,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,1,5,2,4,7] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,1,5,2,7,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,1,5,4,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,1,5,4,7,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,1,5,7,2,4] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,3,1,5,7,4,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,7,2,4,5] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,3,1,7,2,5,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,7,4,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,7,4,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,1,7,5,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,1,7,5,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,1,4,5,7] => [1,4,5,7,2,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,1,4,7,5] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,2,1,5,4,7] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,2,1,5,7,4] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,1,7,4,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,1,7,5,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,4,1,5,7] => [1,5,7,2,4,3,6] => {{1},{2,4,5},{3,6,7}} => {{1},{2,5},{3,4,6,7}}
[6,3,2,4,1,7,5] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,2,4,5,1,7] => [1,7,2,4,5,3,6] => {{1},{2,3,6,7},{4},{5}} => {{1},{2,3,6,7},{4},{5}}
[6,3,2,4,5,7,1] => [1,2,4,5,7,3,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,2,4,7,1,5] => [1,5,2,4,7,3,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,2,4,7,5,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,2,5,1,4,7] => [1,4,7,2,5,3,6] => {{1},{2,4},{3,6,7},{5}} => {{1},{2,6,7},{3,4},{5}}
[6,3,2,5,1,7,4] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,5,4,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,5,4,7,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,2,5,7,1,4] => [1,4,2,5,7,3,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,5,7,4,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,3,2,7,1,4,5] => [1,4,5,2,7,3,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,2,7,1,5,4] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,2,7,4,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,2,7,4,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,2,7,5,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,2,7,5,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,4,1,2,5,7] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,3,4,1,2,7,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,4,1,5,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,4,1,5,7,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,1,7,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,1,7,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,2,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,2,1,7,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,2,5,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,2,5,7,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,3,4,2,7,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,3,4,2,7,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,4,5,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,4,5,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,5,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,4,5,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,4,5,7,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,3,4,5,7,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,3,4,7,1,2,5] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,4,7,1,5,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,4,7,2,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,4,7,2,5,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,4,7,5,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,3,4,7,5,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,3,5,1,2,4,7] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,5,1,2,7,4] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,3,5,1,4,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,5,1,4,7,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,5,1,7,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,5,1,7,4,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,3,5,2,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,3,5,2,1,7,4] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,3,5,2,4,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,3,5,2,4,7,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,5,2,7,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,5,2,7,4,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,3,5,4,1,2,7] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,3,5,4,1,7,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,3,5,4,2,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,3,5,4,2,7,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,3,5,4,7,1,2] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,3,5,4,7,2,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,3,5,7,1,2,4] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,3,5,7,1,4,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,3,5,7,2,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,3,5,7,2,4,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,3,5,7,4,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,3,5,7,4,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,3,7,1,2,4,5] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,7,1,2,5,4] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,7,1,4,2,5] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,7,1,4,5,2] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,3,7,1,5,2,4] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,3,7,1,5,4,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,7,2,1,4,5] => [1,4,5,2,3,7,6] => {{1},{2,4},{3,5},{6,7}} => {{1},{2,5},{3,4},{6,7}}
[6,3,7,2,1,5,4] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,7,2,4,1,5] => [1,5,2,4,3,7,6] => {{1},{2,3,5},{4},{6,7}} => {{1},{2,3,5},{4},{6,7}}
[6,3,7,2,4,5,1] => [1,2,4,5,3,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,3,7,2,5,1,4] => [1,4,2,5,3,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,3,7,2,5,4,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,7,4,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,7,4,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,7,4,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,3,7,4,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,3,7,4,5,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,3,7,4,5,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,3,7,5,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,3,7,5,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,3,7,5,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,3,7,5,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,3,7,5,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,3,7,5,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,1,2,3,5,7] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,1,2,3,7,5] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,1,2,5,3,7] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,1,2,5,7,3] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,4,1,2,7,3,5] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,4,1,2,7,5,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,1,3,2,5,7] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,1,3,2,7,5] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,1,3,5,2,7] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,3,5,7,2] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,1,3,7,2,5] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,1,3,7,5,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,5,2,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,5,2,7,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,1,5,3,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,1,5,3,7,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,5,7,2,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,5,7,3,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,7,2,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,1,7,2,5,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,7,3,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,7,3,5,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,1,7,5,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,1,7,5,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,1,3,5,7] => [1,3,5,7,2,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,2,1,3,7,5] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,1,5,3,7] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,1,5,7,3] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,1,7,3,5] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,2,1,7,5,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,3,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,3,1,7,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,3,5,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,2,3,5,7,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,2,3,7,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,3,7,5,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,2,5,1,3,7] => [1,3,7,2,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,2,5,1,7,3] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,5,3,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,5,3,7,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,2,5,7,1,3] => [1,3,2,5,7,4,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,2,5,7,3,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,4,2,7,1,3,5] => [1,3,5,2,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,2,7,1,5,3] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,2,7,3,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,2,7,3,5,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,4,2,7,5,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,2,7,5,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,3,1,2,5,7] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,4,3,1,2,7,5] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,3,1,5,2,7] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,3,1,5,7,2] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,1,7,2,5] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,1,7,5,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,2,1,5,7] => [1,5,7,2,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,2,1,7,5] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,2,5,1,7] => [1,7,2,5,3,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,2,5,7,1] => [1,2,5,7,3,4,6] => {{1},{2},{3,5},{4,6,7}} => {{1},{2},{3,6,7},{4,5}}
[6,4,3,2,7,1,5] => [1,5,2,7,3,4,6] => {{1},{2,3,5},{4,6,7}} => {{1},{2,3,6,7},{4,5}}
[6,4,3,2,7,5,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,3,5,1,2,7] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,4,3,5,1,7,2] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,3,5,2,1,7] => [1,7,2,3,5,4,6] => {{1},{2,3,4,6,7},{5}} => {{1},{2,3,4,6,7},{5}}
[6,4,3,5,2,7,1] => [1,2,7,3,5,4,6] => {{1},{2},{3,4,6,7},{5}} => {{1},{2},{3,4,6,7},{5}}
[6,4,3,5,7,1,2] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,3,5,7,2,1] => [1,2,3,5,7,4,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,3,7,1,2,5] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,3,7,1,5,2] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,7,2,1,5] => [1,5,2,3,7,4,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,3,7,2,5,1] => [1,2,5,3,7,4,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,3,7,5,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,3,7,5,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,5,1,2,3,7] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,5,1,2,7,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,5,1,3,2,7] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,5,1,3,7,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,1,7,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,1,7,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,2,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,2,1,7,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,2,3,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,2,3,7,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,5,2,7,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,4,5,2,7,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,5,3,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,5,3,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,3,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,4,5,3,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,4,5,3,7,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,5,3,7,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,4,5,7,1,2,3] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,1,3,2] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,4,5,7,2,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,4,5,7,2,3,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,3,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,4,5,7,3,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,4,7,1,2,3,5] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,4,7,1,2,5,3] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,4,7,1,3,2,5] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[6,4,7,1,3,5,2] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,1,5,2,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,1,5,3,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,2,1,3,5] => [1,3,5,2,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,2,1,5,3] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,2,3,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,2,3,5,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,4,7,2,5,1,3] => [1,3,2,5,4,7,6] => {{1},{2,3},{4,5},{6,7}} => {{1},{2,3},{4,5},{6,7}}
[6,4,7,2,5,3,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,4,7,3,1,2,5] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,4,7,3,1,5,2] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,3,2,1,5] => [1,5,2,3,4,7,6] => {{1},{2,3,4,5},{6,7}} => {{1},{2,3,4,5},{6,7}}
[6,4,7,3,2,5,1] => [1,2,5,3,4,7,6] => {{1},{2},{3,4,5},{6,7}} => {{1},{2},{3,4,5},{6,7}}
[6,4,7,3,5,1,2] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,4,7,3,5,2,1] => [1,2,3,5,4,7,6] => {{1},{2},{3},{4,5},{6,7}} => {{1},{2},{3},{4,5},{6,7}}
[6,4,7,5,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,4,7,5,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,4,7,5,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,4,7,5,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,1,2,3,4,7] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,1,2,3,7,4] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,1,2,4,3,7] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,5,1,2,4,7,3] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,1,2,7,3,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,1,2,7,4,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,1,3,2,4,7] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,5,1,3,2,7,4] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,5,1,3,4,2,7] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,1,3,4,7,2] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,3,7,2,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,3,7,4,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,4,2,3,7] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,1,4,2,7,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,4,3,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,4,3,7,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,1,4,7,2,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,1,4,7,3,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,1,7,2,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,7,2,4,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,1,7,3,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,1,7,3,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,7,4,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,1,7,4,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,1,3,4,7] => [1,3,4,7,2,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,1,3,7,4] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,1,4,3,7] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,2,1,4,7,3] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,2,1,7,3,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,1,7,4,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,3,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,2,3,1,7,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,3,4,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,3,4,7,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,2,3,7,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,2,3,7,4,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,2,4,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,4,1,7,3] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,2,4,3,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,2,4,3,7,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,5,2,4,7,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,5,2,4,7,3,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,2,7,1,3,4] => [1,3,4,2,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,2,7,1,4,3] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,7,3,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,2,7,3,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,2,7,4,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,5,2,7,4,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,1,2,4,7] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,1,2,7,4] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,1,4,2,7] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,1,4,7,2] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,3,1,7,2,4] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,3,1,7,4,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,2,1,4,7] => [1,4,7,2,3,5,6] => {{1},{2,4},{3,5,6,7}} => {{1},{2,5,6,7},{3,4}}
[6,5,3,2,1,7,4] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,2,4,1,7] => [1,7,2,4,3,5,6] => {{1},{2,3,5,6,7},{4}} => {{1},{2,3,5,6,7},{4}}
[6,5,3,2,4,7,1] => [1,2,4,7,3,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,2,7,1,4] => [1,4,2,7,3,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,2,7,4,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,4,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,4,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,4,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,3,4,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,3,4,7,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,3,4,7,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,3,7,1,2,4] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,5,3,7,1,4,2] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,3,7,2,1,4] => [1,4,2,3,7,5,6] => {{1},{2,3,4},{5,6,7}} => {{1},{2,3,4},{5,6,7}}
[6,5,3,7,2,4,1] => [1,2,4,3,7,5,6] => {{1},{2},{3,4},{5,6,7}} => {{1},{2},{3,4},{5,6,7}}
[6,5,3,7,4,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,3,7,4,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,4,1,2,3,7] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,4,1,2,7,3] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,4,1,3,2,7] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,5,4,1,3,7,2] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,1,7,2,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,1,7,3,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,2,1,3,7] => [1,3,7,2,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,2,1,7,3] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,2,3,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,2,3,7,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,4,2,7,1,3] => [1,3,2,7,4,5,6] => {{1},{2,3},{4,5,6,7}} => {{1},{2,3},{4,5,6,7}}
[6,5,4,2,7,3,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,4,3,1,2,7] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,4,3,1,7,2] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,3,2,1,7] => [1,7,2,3,4,5,6] => {{1},{2,3,4,5,6,7}} => {{1},{2,3,4,5,6,7}}
[6,5,4,3,2,7,1] => [1,2,7,3,4,5,6] => {{1},{2},{3,4,5,6,7}} => {{1},{2},{3,4,5,6,7}}
[6,5,4,3,7,1,2] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,4,3,7,2,1] => [1,2,3,7,4,5,6] => {{1},{2},{3},{4,5,6,7}} => {{1},{2},{3},{4,5,6,7}}
[6,5,4,7,1,2,3] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,1,3,2] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,5,4,7,2,1,3] => [1,3,2,4,7,5,6] => {{1},{2,3},{4},{5,6,7}} => {{1},{2,3},{4},{5,6,7}}
[6,5,4,7,2,3,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,3,1,2] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,4,7,3,2,1] => [1,2,3,4,7,5,6] => {{1},{2},{3},{4},{5,6,7}} => {{1},{2},{3},{4},{5,6,7}}
[6,5,7,1,2,3,4] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,1,2,4,3] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,5,7,1,3,2,4] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,5,7,1,3,4,2] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,1,4,2,3] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,1,4,3,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,2,1,3,4] => [1,3,4,2,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,2,1,4,3] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,2,3,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,2,3,4,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,2,4,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,5,7,2,4,3,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,1,2,4] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,1,4,2] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,3,2,1,4] => [1,4,2,3,5,7,6] => {{1},{2,3,4},{5},{6,7}} => {{1},{2,3,4},{5},{6,7}}
[6,5,7,3,2,4,1] => [1,2,4,3,5,7,6] => {{1},{2},{3,4},{5},{6,7}} => {{1},{2},{3,4},{5},{6,7}}
[6,5,7,3,4,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,3,4,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,1,2,3] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,1,3,2] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,5,7,4,2,1,3] => [1,3,2,4,5,7,6] => {{1},{2,3},{4},{5},{6,7}} => {{1},{2,3},{4},{5},{6,7}}
[6,5,7,4,2,3,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,3,1,2] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,5,7,4,3,2,1] => [1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => {{1},{2},{3},{4},{5},{6,7}}
[6,7,1,2,3,4,5] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,1,2,3,5,4] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,1,2,4,3,5] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,1,2,4,5,3] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,1,2,5,3,4] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,1,2,5,4,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,1,3,2,4,5] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,1,3,2,5,4] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[6,7,1,3,4,2,5] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,1,3,4,5,2] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,3,5,2,4] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,3,5,4,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,4,2,3,5] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,1,4,2,5,3] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,4,3,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,4,3,5,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,1,4,5,2,3] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,1,4,5,3,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,1,5,2,3,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,5,2,4,3] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,1,5,3,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,1,5,3,4,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,5,4,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,1,5,4,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,1,3,4,5] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,1,3,5,4] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,1,4,3,5] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,2,1,4,5,3] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,2,1,5,3,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,1,5,4,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,3,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,2,3,1,5,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,3,4,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,3,4,5,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,2,3,5,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,2,3,5,4,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,2,4,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,4,1,5,3] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,2,4,3,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,2,4,3,5,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,2,4,5,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,2,4,5,3,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,2,5,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,2,5,1,4,3] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,5,3,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,2,5,3,4,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,2,5,4,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[6,7,2,5,4,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,2,4,5] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,2,5,4] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,1,4,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,1,4,5,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,3,1,5,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,3,1,5,4,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,2,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[6,7,3,2,1,5,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,2,4,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[6,7,3,2,4,5,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,2,5,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,2,5,4,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,4,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,3,4,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,3,4,5,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,3,4,5,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,3,5,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,3,5,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,3,5,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,3,5,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,3,5,4,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,3,5,4,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,4,1,2,3,5] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,4,1,2,5,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,4,1,3,2,5] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[6,7,4,1,3,5,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,1,5,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,1,5,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,2,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,2,1,5,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,2,3,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,2,3,5,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,4,2,5,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[6,7,4,2,5,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,3,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[6,7,4,3,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[6,7,4,3,5,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,4,3,5,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[6,7,4,5,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,4,5,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,4,5,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,4,5,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,1,2,3,4] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,1,2,4,3] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,5,1,3,2,4] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,5,1,3,4,2] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,1,4,2,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,1,4,3,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,1,4,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,3,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,2,3,4,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,2,4,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,5,2,4,3,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,3,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[6,7,5,3,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[6,7,5,3,4,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,3,4,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,5,4,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[6,7,5,4,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[6,7,5,4,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,1,2,3,4,5,6] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,1,2,3,4,6,5] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,1,2,3,5,4,6] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,1,2,3,5,6,4] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,1,2,3,6,4,5] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,1,2,3,6,5,4] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,1,2,4,3,5,6] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,1,2,4,3,6,5] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,1,2,4,5,3,6] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,1,2,4,5,6,3] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,4,6,3,5] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,4,6,5,3] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,5,3,4,6] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,1,2,5,3,6,4] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,5,4,3,6] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,5,4,6,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,1,2,5,6,3,4] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,1,2,5,6,4,3] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,1,2,6,3,4,5] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,6,3,5,4] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,1,2,6,4,3,5] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,1,2,6,4,5,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,6,5,3,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,2,6,5,4,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,1,3,2,4,5,6] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,1,3,2,4,6,5] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,1,3,2,5,4,6] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,1,3,2,5,6,4] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,1,3,2,6,4,5] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,1,3,2,6,5,4] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,1,3,4,2,5,6] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,1,3,4,2,6,5] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,1,3,4,5,2,6] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,3,4,5,6,2] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,4,6,2,5] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,4,6,5,2] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,5,2,4,6] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,3,5,2,6,4] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,5,4,2,6] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,5,4,6,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,3,5,6,2,4] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,3,5,6,4,2] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,3,6,2,4,5] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,6,2,5,4] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,3,6,4,2,5] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,3,6,4,5,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,6,5,2,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,3,6,5,4,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,2,3,5,6] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,1,4,2,3,6,5] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,1,4,2,5,3,6] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,4,2,5,6,3] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,2,6,3,5] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,2,6,5,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,3,2,5,6] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,3,2,6,5] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,3,5,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,3,5,6,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,1,4,3,6,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,4,3,6,5,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,1,4,5,2,3,6] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,1,4,5,2,6,3] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,4,5,3,2,6] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,4,5,3,6,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,1,4,5,6,2,3] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,5,6,3,2] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,4,6,2,3,5] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,4,6,2,5,3] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,1,4,6,3,2,5] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,1,4,6,3,5,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,4,6,5,2,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,4,6,5,3,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,1,5,2,3,4,6] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,5,2,3,6,4] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,2,4,3,6] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,1,5,2,4,6,3] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,5,2,6,3,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,2,6,4,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,3,2,4,6] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,5,3,2,6,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,3,4,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,3,4,6,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,5,3,6,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,1,5,3,6,4,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,4,2,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,4,2,6,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,4,3,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,1,5,4,3,6,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,4,6,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,5,4,6,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,1,5,6,2,3,4] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,6,2,4,3] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,1,5,6,3,2,4] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,1,5,6,3,4,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,6,4,2,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,5,6,4,3,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,2,3,4,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,2,3,5,4] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,6,2,4,3,5] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,6,2,4,5,3] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,1,6,2,5,3,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,2,5,4,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,3,2,4,5] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,1,6,3,2,5,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,3,4,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,3,4,5,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,3,5,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,6,3,5,4,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,6,4,2,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,6,4,2,5,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,4,3,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,4,3,5,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,1,6,4,5,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,4,5,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,5,2,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,5,2,4,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,6,5,3,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,1,6,5,3,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,5,4,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,1,6,5,4,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,3,4,5,6] => [1,3,4,5,6,2,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,3,4,6,5] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,3,5,4,6] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,1,3,5,6,4] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,1,3,6,4,5] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,3,6,5,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,4,3,5,6] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,2,1,4,3,6,5] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,2,1,4,5,3,6] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,2,1,4,5,6,3] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,4,6,3,5] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,1,4,6,5,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,1,5,3,4,6] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,1,5,3,6,4] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,5,4,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,5,4,6,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,1,5,6,3,4] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,5,6,4,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,6,3,4,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,6,3,5,4] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,1,6,4,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,1,6,4,5,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,6,5,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,1,6,5,4,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,1,4,5,6] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,1,4,6,5] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,3,1,5,4,6] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,3,1,5,6,4] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,1,6,4,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,1,6,5,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,4,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,4,1,6,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,4,5,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,4,5,6,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,2,3,4,6,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,3,4,6,5,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,2,3,5,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,3,5,1,6,4] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,3,5,4,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,3,5,4,6,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,2,3,5,6,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,2,3,5,6,4,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,2,3,6,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,2,3,6,1,5,4] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,6,4,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,3,6,4,5,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,2,3,6,5,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,2,3,6,5,4,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,2,4,1,3,5,6] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,4,1,3,6,5] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,4,1,5,3,6] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,2,4,1,5,6,3] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,2,4,1,6,3,5] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,1,6,5,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,3,1,5,6] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,2,4,3,1,6,5] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,3,5,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,3,5,6,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,2,4,3,6,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,2,4,3,6,5,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,2,4,5,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,4,5,1,6,3] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,2,4,5,3,1,6] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,2,4,5,3,6,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,2,4,5,6,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,2,4,5,6,3,1] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,4,6,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,4,6,1,5,3] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,6,3,1,5] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,2,4,6,3,5,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,4,6,5,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,2,4,6,5,3,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,5,1,3,4,6] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,1,3,6,4] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,5,1,4,3,6] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,5,1,4,6,3] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,2,5,1,6,3,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,1,6,4,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,3,1,4,6] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,2,5,3,1,6,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,3,4,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,3,4,6,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,2,5,3,6,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,5,3,6,4,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,5,4,1,3,6] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,2,5,4,1,6,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,4,3,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,4,3,6,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,5,4,6,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,2,5,4,6,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,2,5,6,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,2,5,6,1,4,3] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,6,3,1,4] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,5,6,3,4,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,2,5,6,4,1,3] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,2,5,6,4,3,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,2,6,1,3,4,5] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,2,6,1,3,5,4] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,1,4,3,5] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,1,4,5,3] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,6,1,5,3,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,1,5,4,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,3,1,4,5] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,2,6,3,1,5,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,3,4,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,3,4,5,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,6,3,5,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,3,5,4,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,2,6,4,1,3,5] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,4,1,5,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,4,3,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,2,6,4,3,5,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,2,6,4,5,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,2,6,4,5,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,6,5,1,3,4] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,2,6,5,1,4,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,5,3,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,2,6,5,3,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,2,6,5,4,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,2,6,5,4,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,1,2,4,5,6] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,1,2,4,6,5] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,1,2,5,4,6] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,1,2,5,6,4] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,3,1,2,6,4,5] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,1,2,6,5,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,1,4,2,5,6] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,4,2,6,5] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,4,5,2,6] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,1,4,5,6,2] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,4,6,2,5] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,3,1,4,6,5,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,1,5,2,4,6] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,1,5,2,6,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,1,5,4,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,1,5,4,6,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,1,5,6,2,4] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,3,1,5,6,4,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,6,2,4,5] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,3,1,6,2,5,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,6,4,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,6,4,5,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,1,6,5,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,1,6,5,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,1,4,5,6] => [1,4,5,6,2,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,1,4,6,5] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,2,1,5,4,6] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,2,1,5,6,4] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,1,6,4,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,1,6,5,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,4,1,5,6] => [1,5,6,2,4,3,7] => {{1},{2,4,5},{3,6},{7}} => {{1},{2,5},{3,4,6},{7}}
[7,3,2,4,1,6,5] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,2,4,5,1,6] => [1,6,2,4,5,3,7] => {{1},{2,3,6},{4},{5},{7}} => {{1},{2,3,6},{4},{5},{7}}
[7,3,2,4,5,6,1] => [1,2,4,5,6,3,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,2,4,6,1,5] => [1,5,2,4,6,3,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,2,4,6,5,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,2,5,1,4,6] => [1,4,6,2,5,3,7] => {{1},{2,4},{3,6},{5},{7}} => {{1},{2,6},{3,4},{5},{7}}
[7,3,2,5,1,6,4] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,5,4,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,5,4,6,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,2,5,6,1,4] => [1,4,2,5,6,3,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,5,6,4,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,3,2,6,1,4,5] => [1,4,5,2,6,3,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,2,6,1,5,4] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,2,6,4,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,2,6,4,5,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,2,6,5,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,2,6,5,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,4,1,2,5,6] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,3,4,1,2,6,5] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,4,1,5,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,4,1,5,6,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,1,6,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,1,6,5,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,2,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,2,1,6,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,2,5,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,2,5,6,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,3,4,2,6,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,3,4,2,6,5,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,4,5,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,4,5,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,5,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,4,5,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,4,5,6,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,3,4,5,6,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,3,4,6,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,4,6,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,4,6,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,4,6,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,4,6,5,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,3,4,6,5,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,3,5,1,2,4,6] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,5,1,2,6,4] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,3,5,1,4,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,5,1,4,6,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,5,1,6,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,5,1,6,4,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,3,5,2,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,3,5,2,1,6,4] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,3,5,2,4,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,3,5,2,4,6,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,5,2,6,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,5,2,6,4,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,1,2,6] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,1,6,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,3,5,4,2,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,3,5,4,2,6,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,3,5,4,6,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,3,5,4,6,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,3,5,6,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,3,5,6,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,3,5,6,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,3,5,6,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,3,5,6,4,1,2] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,3,5,6,4,2,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,3,6,1,2,4,5] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,6,1,2,5,4] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,6,1,4,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,6,1,4,5,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,3,6,1,5,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,3,6,1,5,4,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,6,2,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,3,6,2,1,5,4] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,6,2,4,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,3,6,2,4,5,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,3,6,2,5,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,3,6,2,5,4,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,6,4,1,2,5] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,6,4,1,5,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,6,4,2,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,3,6,4,2,5,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,3,6,4,5,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,3,6,4,5,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,3,6,5,1,2,4] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,3,6,5,1,4,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,3,6,5,2,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,3,6,5,2,4,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,3,6,5,4,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,3,6,5,4,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,3,5,6] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,3,6,5] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,1,2,5,3,6] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,1,2,5,6,3] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,4,1,2,6,3,5] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,4,1,2,6,5,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,1,3,2,5,6] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,1,3,2,6,5] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,1,3,5,2,6] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,3,5,6,2] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,1,3,6,2,5] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,1,3,6,5,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,5,2,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,5,2,6,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,1,5,3,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,1,5,3,6,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,5,6,2,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,5,6,3,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,6,2,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,1,6,2,5,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,6,3,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,6,3,5,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,1,6,5,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,1,6,5,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,1,3,5,6] => [1,3,5,6,2,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,2,1,3,6,5] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,1,5,3,6] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,1,5,6,3] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,1,6,3,5] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,2,1,6,5,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,3,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,3,1,6,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,3,5,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,2,3,5,6,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,2,3,6,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,3,6,5,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,2,5,1,3,6] => [1,3,6,2,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,2,5,1,6,3] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,5,3,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,5,3,6,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,2,5,6,1,3] => [1,3,2,5,6,4,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,2,5,6,3,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,4,2,6,1,3,5] => [1,3,5,2,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,2,6,1,5,3] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,2,6,3,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,2,6,3,5,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,4,2,6,5,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,2,6,5,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,3,1,2,5,6] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,4,3,1,2,6,5] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,3,1,5,2,6] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,3,1,5,6,2] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,1,6,2,5] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,1,6,5,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,2,1,5,6] => [1,5,6,2,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,2,1,6,5] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,2,5,1,6] => [1,6,2,5,3,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,2,5,6,1] => [1,2,5,6,3,4,7] => {{1},{2},{3,5},{4,6},{7}} => {{1},{2},{3,6},{4,5},{7}}
[7,4,3,2,6,1,5] => [1,5,2,6,3,4,7] => {{1},{2,3,5},{4,6},{7}} => {{1},{2,3,6},{4,5},{7}}
[7,4,3,2,6,5,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,3,5,1,2,6] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,4,3,5,1,6,2] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,3,5,2,1,6] => [1,6,2,3,5,4,7] => {{1},{2,3,4,6},{5},{7}} => {{1},{2,3,4,6},{5},{7}}
[7,4,3,5,2,6,1] => [1,2,6,3,5,4,7] => {{1},{2},{3,4,6},{5},{7}} => {{1},{2},{3,4,6},{5},{7}}
[7,4,3,5,6,1,2] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,3,5,6,2,1] => [1,2,3,5,6,4,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,3,6,1,2,5] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,3,6,1,5,2] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,6,2,1,5] => [1,5,2,3,6,4,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,3,6,2,5,1] => [1,2,5,3,6,4,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,3,6,5,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,3,6,5,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,5,1,2,3,6] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,5,1,2,6,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,5,1,3,2,6] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,5,1,3,6,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,1,6,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,1,6,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,2,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,2,1,6,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,2,3,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,2,3,6,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,5,2,6,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,4,5,2,6,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,5,3,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,5,3,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,3,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,4,5,3,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,4,5,3,6,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,5,3,6,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,4,5,6,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,4,5,6,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,4,5,6,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,4,5,6,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,4,6,1,2,3,5] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,4,6,1,2,5,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,4,6,1,3,2,5] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,4,6,1,3,5,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,1,5,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,1,5,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,2,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,2,1,5,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,2,3,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,2,3,5,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,4,6,2,5,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,4,6,2,5,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,3,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,4,6,3,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,4,6,3,5,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,4,6,3,5,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,4,6,5,1,2,3] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,1,3,2] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,4,6,5,2,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,4,6,5,2,3,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,3,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,4,6,5,3,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,1,2,3,4,6] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,1,2,3,6,4] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,1,2,4,3,6] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,5,1,2,4,6,3] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,1,2,6,3,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,1,2,6,4,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,1,3,2,4,6] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,5,1,3,2,6,4] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,5,1,3,4,2,6] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,1,3,4,6,2] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,3,6,2,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,3,6,4,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,4,2,3,6] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,1,4,2,6,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,4,3,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,4,3,6,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,1,4,6,2,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,1,4,6,3,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,1,6,2,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,6,2,4,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,1,6,3,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,1,6,3,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,6,4,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,1,6,4,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,1,3,4,6] => [1,3,4,6,2,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,1,3,6,4] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,1,4,3,6] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,2,1,4,6,3] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,2,1,6,3,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,1,6,4,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,3,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,2,3,1,6,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,3,4,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,3,4,6,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,2,3,6,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,2,3,6,4,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,2,4,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,4,1,6,3] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,2,4,3,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,2,4,3,6,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,5,2,4,6,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,5,2,4,6,3,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,2,6,1,3,4] => [1,3,4,2,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,2,6,1,4,3] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,6,3,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,2,6,3,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,2,6,4,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,5,2,6,4,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,1,2,4,6] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,1,2,6,4] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,1,4,2,6] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,1,4,6,2] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,3,1,6,2,4] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,3,1,6,4,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,2,1,4,6] => [1,4,6,2,3,5,7] => {{1},{2,4},{3,5,6},{7}} => {{1},{2,5,6},{3,4},{7}}
[7,5,3,2,1,6,4] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,2,4,1,6] => [1,6,2,4,3,5,7] => {{1},{2,3,5,6},{4},{7}} => {{1},{2,3,5,6},{4},{7}}
[7,5,3,2,4,6,1] => [1,2,4,6,3,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,2,6,1,4] => [1,4,2,6,3,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,2,6,4,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,4,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,4,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,4,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,3,4,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,3,4,6,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,3,4,6,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,3,6,1,2,4] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,5,3,6,1,4,2] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,3,6,2,1,4] => [1,4,2,3,6,5,7] => {{1},{2,3,4},{5,6},{7}} => {{1},{2,3,4},{5,6},{7}}
[7,5,3,6,2,4,1] => [1,2,4,3,6,5,7] => {{1},{2},{3,4},{5,6},{7}} => {{1},{2},{3,4},{5,6},{7}}
[7,5,3,6,4,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,3,6,4,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,4,1,2,3,6] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,4,1,2,6,3] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,4,1,3,2,6] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,5,4,1,3,6,2] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,1,6,2,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,1,6,3,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,2,1,3,6] => [1,3,6,2,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,2,1,6,3] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,2,3,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,2,3,6,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,4,2,6,1,3] => [1,3,2,6,4,5,7] => {{1},{2,3},{4,5,6},{7}} => {{1},{2,3},{4,5,6},{7}}
[7,5,4,2,6,3,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,4,3,1,2,6] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,4,3,1,6,2] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,3,2,1,6] => [1,6,2,3,4,5,7] => {{1},{2,3,4,5,6},{7}} => {{1},{2,3,4,5,6},{7}}
[7,5,4,3,2,6,1] => [1,2,6,3,4,5,7] => {{1},{2},{3,4,5,6},{7}} => {{1},{2},{3,4,5,6},{7}}
[7,5,4,3,6,1,2] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,4,3,6,2,1] => [1,2,3,6,4,5,7] => {{1},{2},{3},{4,5,6},{7}} => {{1},{2},{3},{4,5,6},{7}}
[7,5,4,6,1,2,3] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,1,3,2] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,5,4,6,2,1,3] => [1,3,2,4,6,5,7] => {{1},{2,3},{4},{5,6},{7}} => {{1},{2,3},{4},{5,6},{7}}
[7,5,4,6,2,3,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,3,1,2] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,4,6,3,2,1] => [1,2,3,4,6,5,7] => {{1},{2},{3},{4},{5,6},{7}} => {{1},{2},{3},{4},{5,6},{7}}
[7,5,6,1,2,3,4] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,1,2,4,3] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,5,6,1,3,2,4] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,5,6,1,3,4,2] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,1,4,2,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,1,4,3,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,1,4,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,3,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,2,3,4,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,2,4,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,5,6,2,4,3,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,3,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,5,6,3,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,5,6,3,4,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,3,4,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,5,6,4,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,5,6,4,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,5,6,4,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,1,2,3,4,5] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,1,2,3,5,4] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,1,2,4,3,5] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,1,2,4,5,3] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,1,2,5,3,4] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,1,2,5,4,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,1,3,2,4,5] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,1,3,2,5,4] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,6,1,3,4,2,5] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,1,3,4,5,2] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,3,5,2,4] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,3,5,4,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,4,2,3,5] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,1,4,2,5,3] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,4,3,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,4,3,5,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,1,4,5,2,3] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,1,4,5,3,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,1,5,2,3,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,5,2,4,3] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,1,5,3,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,1,5,3,4,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,5,4,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,1,5,4,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,1,3,4,5] => [1,3,4,5,2,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,1,3,5,4] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,1,4,3,5] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,2,1,4,5,3] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,2,1,5,3,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,1,5,4,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,3,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,2,3,1,5,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,3,4,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,3,4,5,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,2,3,5,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,2,3,5,4,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,2,4,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,4,1,5,3] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,2,4,3,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,2,4,3,5,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,2,4,5,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,2,4,5,3,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,2,5,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,2,5,1,4,3] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,5,3,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,2,5,3,4,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,2,5,4,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,6,2,5,4,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,2,4,5] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,2,5,4] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,1,4,2,5] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,1,4,5,2] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,3,1,5,2,4] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,3,1,5,4,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,2,1,4,5] => [1,4,5,2,3,6,7] => {{1},{2,4},{3,5},{6},{7}} => {{1},{2,5},{3,4},{6},{7}}
[7,6,3,2,1,5,4] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,2,4,1,5] => [1,5,2,4,3,6,7] => {{1},{2,3,5},{4},{6},{7}} => {{1},{2,3,5},{4},{6},{7}}
[7,6,3,2,4,5,1] => [1,2,4,5,3,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,2,5,1,4] => [1,4,2,5,3,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,2,5,4,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,4,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,3,4,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,3,4,5,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,3,4,5,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,3,5,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,3,5,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,3,5,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,3,5,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,3,5,4,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,3,5,4,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,4,1,2,3,5] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,4,1,2,5,3] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,4,1,3,2,5] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,6,4,1,3,5,2] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,1,5,2,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,1,5,3,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,2,1,3,5] => [1,3,5,2,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,2,1,5,3] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,2,3,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,2,3,5,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,4,2,5,1,3] => [1,3,2,5,4,6,7] => {{1},{2,3},{4,5},{6},{7}} => {{1},{2,3},{4,5},{6},{7}}
[7,6,4,2,5,3,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,1,2,5] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,1,5,2] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,3,2,1,5] => [1,5,2,3,4,6,7] => {{1},{2,3,4,5},{6},{7}} => {{1},{2,3,4,5},{6},{7}}
[7,6,4,3,2,5,1] => [1,2,5,3,4,6,7] => {{1},{2},{3,4,5},{6},{7}} => {{1},{2},{3,4,5},{6},{7}}
[7,6,4,3,5,1,2] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,4,3,5,2,1] => [1,2,3,5,4,6,7] => {{1},{2},{3},{4,5},{6},{7}} => {{1},{2},{3},{4,5},{6},{7}}
[7,6,4,5,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,4,5,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,4,5,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,4,5,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,1,2,3,4] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,1,2,4,3] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,5,1,3,2,4] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,5,1,3,4,2] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,1,4,2,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,1,4,3,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,1,3,4] => [1,3,4,2,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,1,4,3] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,3,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,2,3,4,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,2,4,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,5,2,4,3,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,1,2,4] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,1,4,2] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,3,2,1,4] => [1,4,2,3,5,6,7] => {{1},{2,3,4},{5},{6},{7}} => {{1},{2,3,4},{5},{6},{7}}
[7,6,5,3,2,4,1] => [1,2,4,3,5,6,7] => {{1},{2},{3,4},{5},{6},{7}} => {{1},{2},{3,4},{5},{6},{7}}
[7,6,5,3,4,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,3,4,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,1,2,3] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,1,3,2] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,5,4,2,1,3] => [1,3,2,4,5,6,7] => {{1},{2,3},{4},{5},{6},{7}} => {{1},{2,3},{4},{5},{6},{7}}
[7,6,5,4,2,3,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,3,1,2] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[7,6,5,4,3,2,1] => [1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => {{1},{2},{3},{4},{5},{6},{7}}
[8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,8,5,4,3,2,1] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,7,8,5,4,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,6,4,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,8,4,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,5,6,8,4,3,2,1] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,7,8,4,3,2,1] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,4,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,4,5,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,4,8,3,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,5,7,4,8,3,2,1] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[7,6,4,5,8,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,5,4,6,8,3,2,1] => [1,2,3,4,6,8,5,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,4,5,6,8,3,2,1] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[4,5,6,7,8,3,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,3,4,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,3,4,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,3,4,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,8,3,4,5,2,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,6,5,4,3,8,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,5,7,3,8,2,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,4,6,7,3,8,2,1] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[4,5,6,7,3,8,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,6,5,3,4,8,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,6,4,3,5,8,2,1] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,6,3,4,5,8,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,3,4,5,7,8,2,1] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,3,5,6,7,8,2,1] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,7,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,4,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,4,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,4,5,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,2,3,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,8,5,2,3,4,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,5,6,7,2,3,4,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[5,6,7,8,2,3,4,1] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,7,5,4,3,2,8,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,7,4,3,2,8,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[6,4,5,7,3,2,8,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,5,6,7,3,2,8,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,4,3,7,2,8,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[5,4,6,3,7,2,8,1] => [1,2,8,3,7,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,5,4,2,3,8,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,7,4,5,2,3,8,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,5,7,2,3,8,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[4,5,6,7,2,3,8,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,6,5,3,2,4,8,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,5,2,3,4,8,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,7,2,3,4,5,8,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,2,3,4,6,7,8,1] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[4,3,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[3,4,2,5,6,7,8,1] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[4,2,3,5,6,7,8,1] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,2,4,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => {{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] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,4,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,4,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,5,7,8,4,3,1,2] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,4,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,4,5,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,3,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,7,5,8,3,4,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,5,6,8,3,4,1,2] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,7,8,3,4,1,2] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,3,4,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,4,5,3,6,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,5,3,4,6,1,2] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[7,8,4,3,5,6,1,2] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,3,4,5,6,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,4,3,5,6,7,1,2] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,3,4,5,6,7,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,5,7,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,6,7,4,3,8,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,7,4,5,3,8,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,4,7,3,8,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,6,7,3,8,1,2] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[4,5,6,7,3,8,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,6,3,7,8,1,2] => [1,2,3,7,8,4,6,5] => {{1},{2},{3},{4,6,7},{5,8}} => {{1},{2},{3},{4,7},{5,6,8}}
[5,6,3,4,7,8,1,2] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[6,4,3,5,7,8,1,2] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[6,3,4,5,7,8,1,2] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,4,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,5,3,6,7,8,1,2] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,3,5,6,7,8,1,2] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,4,5,6,7,8,1,2] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,4,2,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[7,6,8,5,4,2,1,3] => [1,3,2,4,5,6,8,7] => {{1},{2,3},{4},{5},{6},{7,8}} => {{1},{2,3},{4},{5},{6},{7,8}}
[5,6,7,8,4,2,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[4,5,6,7,8,2,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,8,5,4,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,5,6,7,4,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,5,7,8,4,1,2,3] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,4,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[6,7,4,5,8,1,2,3] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,5,4,7,8,1,2,3] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[4,5,6,7,8,1,2,3] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,5,3,2,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,3,2,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,6,5,8,3,2,1,4] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,6,7,8,3,2,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,2,3,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,2,3,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,5,8,2,3,1,4] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,6,7,8,2,3,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,5,6,8,3,1,2,4] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[8,7,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,8,6,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,5,2,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,8,5,6,2,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,5,7,8,2,1,3,4] => [1,3,4,2,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,6,7,8,2,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,8,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,7,8,5,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,7,5,8,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,5,6,8,1,2,3,4] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,7,8,1,2,3,4] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,7,6,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,4,3,2,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,3,4,2,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,4,2,3,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,7,8,3,2,4,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[8,7,6,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,2,3,4,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[6,7,8,4,3,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[8,7,6,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[6,7,8,3,4,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[8,7,6,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,4,2,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[6,7,8,4,1,2,3,5] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[8,7,6,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,2,1,3,4,5] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,8,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,5,4,3,2,1,6] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,4,5,2,3,1,6] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,3,4,2,5,1,6] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,5,4,2,1,3,6] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,5,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,4,5,1,2,3,6] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[8,7,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,5,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[7,8,5,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[8,7,4,3,2,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,4,3,2,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,2,3,4,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,3,4,1,2,5,6] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[7,8,4,2,1,3,5,6] => [1,3,5,6,2,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,7,4,1,2,3,5,6] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[8,7,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,3,2,1,4,5,6] => [1,4,5,6,2,3,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,2,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[8,6,5,4,3,2,1,7] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,5,6,3,2,1,7] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,5,6,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,3,4,5,6,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,6,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,4,5,1,2,3,7] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,6,5,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,5,6,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,5,6,2,1,3,4,7] => [1,3,4,7,2,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[8,5,6,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[8,6,4,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,4,3,2,1,5,6,7] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[8,2,3,4,1,5,6,7] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[8,4,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,3,2,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[8,2,3,1,4,5,6,7] => [1,4,5,6,7,2,3,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[8,3,1,2,4,5,6,7] => [1,2,4,5,6,7,3,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,2,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[7,6,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,5,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,6,7,4,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,5,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,6,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,4,7,3,2,1,8] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,3,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,6,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,3,4,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,3,5,2,1,8] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,6,3,4,5,2,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,4,3,6,2,1,8] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,5,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,4,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,4,5,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,6,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,4,7,2,3,1,8] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,3,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,3,2,4,1,8] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,6,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,5,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,6,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,6,7,2,3,4,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,3,4,2,5,1,8] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,2,3,6,1,8] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,4,2,7,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,6,2,7,1,8] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[5,4,3,2,6,7,1,8] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,4,5,6,7,1,8] => [1,8,2,4,5,6,7,3] => {{1},{2,3,8},{4},{5},{6},{7}} => {{1},{2,3,8},{4},{5},{6},{7}}
[2,3,4,5,6,7,1,8] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,5,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,6,4,3,1,2,8] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,4,5,6,3,1,2,8] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,6,7,3,1,2,8] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,5,4,2,1,3,8] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,4,2,1,3,8] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,5,4,6,2,1,3,8] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,4,5,6,2,1,3,8] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,1,3,8] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,5,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,7,4,1,2,3,8] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,4,5,6,1,2,3,8] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,4,7,1,2,3,8] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,6,7,1,2,3,8] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[4,5,6,7,1,2,3,8] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,7,3,1,2,4,8] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,7,2,1,3,4,8] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,7,5,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,5,6,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,5,7,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[5,6,7,1,2,3,4,8] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,6,4,3,2,1,5,8] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,3,1,2,5,8] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[6,7,1,2,3,4,5,8] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,5,3,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[7,5,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,4,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[7,3,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,2,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,2,3,4,5,6,8] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,5,4,3,2,1,7,8] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,3,5,6,1,7,8] => [1,7,8,2,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,6,1,7,8] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,4,3,1,2,7,8] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,4,6,3,1,2,7,8] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,3,4,1,2,7,8] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,4,3,6,1,2,7,8] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,6,4,2,1,3,7,8] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,5,6,1,2,3,7,8] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,3,2,1,4,7,8] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,5,7,8] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[6,4,3,1,2,5,7,8] => [1,2,5,7,8,3,4,6] => {{1},{2},{3,5,6,8},{4,7}} => {{1},{2},{3,6,7},{4,5,8}}
[6,4,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[6,2,3,1,4,5,7,8] => [1,4,5,7,8,2,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,3,4,5,7,8] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,4,3,2,1,6,7,8] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,3,1,6,7,8] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,3,4,1,6,7,8] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,1,6,7,8] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,1,2,4,6,7,8] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,2,3,4,6,7,8] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[4,3,2,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,4,1,5,6,7,8] => [1,5,6,7,8,2,4,3] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,3,4,1,5,6,7,8] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,2,5,6,7,8] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[4,1,2,3,5,6,7,8] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,2,1,4,5,6,7,8] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,2,4,5,6,7,8] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => {{1},{2},{3},{4},{5},{6},{7},{8}}
[5,8,7,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,5,8,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,8,7,6,5,3,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[4,7,6,5,8,3,2,1] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[3,7,6,8,5,4,2,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[3,5,8,7,6,4,2,1] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,5,6,8,7,4,2,1] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,5,6,7,8,4,2,1] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,4,8,7,6,5,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[3,4,5,8,7,6,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,7,6,4,3,8,2,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[2,7,8,6,5,4,3,1] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,6,8,7,5,4,3,1] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,5,6,7,8,4,3,1] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,4,8,7,6,5,3,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,6,8,7,5,3,1] => [1,2,4,6,8,3,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[2,7,6,5,4,8,3,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[2,3,5,6,8,7,4,1] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,3,5,6,7,8,4,1] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,3,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,2,8,7,6,5,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,3,8,7,6,5,1] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[3,2,4,8,7,6,5,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,3,4,8,7,6,5,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,8,7,6,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,3,2,7,8,6,1] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,5,4,3,8,7,6,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,5,4,3,7,8,6,1] => [1,2,5,3,7,8,4,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[2,4,5,3,7,8,6,1] => [1,2,4,5,3,7,8,6] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[3,4,2,5,7,8,6,1] => [1,2,5,7,8,3,4,6] => {{1},{2},{3,5,6,8},{4,7}} => {{1},{2},{3,6,7},{4,5,8}}
[4,3,6,5,2,8,7,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,2,6,5,4,8,7,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,3,6,5,8,7,1] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1},{2},{3,4},{5,6},{7,8}}
[5,4,3,2,6,8,7,1] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,3,5,6,8,7,1] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[4,3,6,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,5,4,7,6,3,8,1] => [1,2,5,3,8,4,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[2,5,4,6,7,3,8,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,2,6,5,7,4,8,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,3,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,2,7,6,5,8,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,2,6,7,5,8,1] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,4,3,7,6,5,8,1] => [1,2,4,3,7,5,8,6] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[3,2,4,7,6,5,8,1] => [1,2,4,7,3,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,3,4,7,6,5,8,1] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,7,6,8,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,5,4,3,7,6,8,1] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,3,5,4,7,6,8,1] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[3,2,4,5,7,6,8,1] => [1,2,4,5,7,3,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,4,3,6,5,7,8,1] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[2,5,4,3,6,7,8,1] => [1,2,5,3,6,7,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,8,7,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,8,6,5,4,3,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,8,7,5,4,3,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[1,7,6,8,5,4,3,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,7,8,5,4,3,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,7,6,4,3,2] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,6,5,8,4,3,2] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,6,7,8,4,3,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,8,7,6,5,3,2] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,4,7,8,6,5,3,2] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,5,7,8,6,4,2] => [1,3,5,7,8,2,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,3,6,5,7,8,4,2] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,3,5,6,7,8,4,2] => [1,3,5,6,7,8,2,4] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,4,3,8,7,6,5,2] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[1,4,3,7,8,6,5,2] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[1,4,3,7,6,8,5,2] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[1,3,4,8,7,6,5,2] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,4,7,6,8,5,2] => [1,3,4,7,2,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,3,4,5,7,8,6,2] => [1,3,4,5,7,8,2,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,6,5,4,3,8,7,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[1,5,6,4,3,8,7,2] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,3,6,5,8,7,2] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[1,3,4,5,6,8,7,2] => [1,3,4,5,6,8,2,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,4,3,6,7,8,2] => [1,5,2,3,6,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,3,5,6,7,8,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[1,3,4,5,6,7,8,2] => [1,3,4,5,6,7,8,2] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,6,5,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,5,4,3] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,5,8,7,4,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,1,7,6,5,8,4,3] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,7,5,8,4,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[2,1,6,5,7,8,4,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,1,5,6,7,8,4,3] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,8,7,6,5,3] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,1,4,7,8,6,5,3] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,5,7,8,6,3] => [1,4,5,7,8,2,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,6,5,8,7,3] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[2,1,6,5,7,4,8,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,5,4,7,6,8,3] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[2,1,4,5,6,7,8,3] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,5,6,7,8,4,3] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[1,2,4,8,7,6,5,3] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,4,7,8,6,5,3] => [1,2,4,7,8,3,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,4,6,7,8,5,3] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,6,5,4,7,8,3] => [1,2,6,3,4,7,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,5,6,4,7,8,3] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[1,2,5,4,6,7,8,3] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[1,2,4,5,6,7,8,3] => [1,2,4,5,6,7,8,3] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,2,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,7,8,6,5,4] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,6,8,7,5,4] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[3,2,1,7,6,8,5,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,1,6,7,8,5,4] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,5,8,7,6,4] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,5,7,8,6,4] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,2,1,6,5,8,7,4] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[3,2,1,5,6,8,7,4] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[3,2,1,7,6,5,8,4] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,6,7,5,8,4] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[3,2,1,6,5,7,8,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,2,1,5,6,7,8,4] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,8,7,6,5,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,2,8,7,6,5,4] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[2,1,3,8,7,6,5,4] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,8,7,6,5,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,8,6,5,4] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,6,8,7,5,4] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[1,2,3,7,6,8,5,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,6,7,8,5,4] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,8,7,6,4] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,7,8,6,4] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[1,2,3,5,6,8,7,4] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,6,5,8,4] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,5,7,6,8,4] => [1,2,3,5,7,4,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,6,5,7,8,4] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[1,2,3,5,6,7,8,4] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,3,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[4,3,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,2,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,2,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,2,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[3,4,2,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,4,2,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,3,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,3,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[2,4,3,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,3,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,2,4,1,8,7,6,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,4,1,7,8,6,5] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,2,4,1,6,8,7,5] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,4,1,7,6,8,5] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,3,4,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,7,8,6,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,6,8,7,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,3,4,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,3,4,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,3,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,3,2,7,6,8,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,3,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,4,2,8,7,6,5] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[1,3,4,2,6,7,8,5] => [1,3,4,2,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,1,4,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,1,4,3,7,8,6,5] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[2,1,4,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[2,1,4,3,6,7,8,5] => [1,4,2,3,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[1,2,4,3,8,7,6,5] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[1,2,4,3,6,7,8,5] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[3,2,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,2,1,4,7,8,6,5] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,4,7,6,8,5] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[3,2,1,4,6,7,8,5] => [1,4,6,7,8,2,3,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,3,1,4,8,7,6,5] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,3,1,4,7,6,8,5] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[2,3,1,4,6,7,8,5] => [1,4,6,7,8,2,3,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[1,3,2,4,8,7,6,5] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[1,3,2,4,6,7,8,5] => [1,3,2,4,6,7,8,5] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[2,1,3,4,8,7,6,5] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,4,7,8,6,5] => [1,3,4,7,8,2,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,4,7,6,8,5] => [1,3,4,7,2,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,2,3,4,8,7,6,5] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,2,3,4,7,8,6,5] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[1,2,3,4,7,6,8,5] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[1,2,3,4,6,7,8,5] => [1,2,3,4,6,7,8,5] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,4,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,4,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,3,5,2,1,8,7,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,4,5,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,4,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,5,4,1,8,7,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,3,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,2,5,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,3,5,1,8,7,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,3,4,5,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,5,7,8,6] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,2,4,1,5,7,8,6] => [1,5,7,8,2,4,3,6] => {{1},{2,5},{3,7},{4,6,8}} => {{1},{2,6,7},{3,8},{4,5}}
[2,3,4,1,5,8,7,6] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,5,7,8,6] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[2,3,1,4,5,7,8,6] => [1,4,5,7,8,2,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[1,2,3,4,5,7,8,6] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,5,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,4,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,3,2,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,5,4,2,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,5,2,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,6,2,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,5,6,2,1,8,7] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[2,3,6,5,4,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,3,6,5,1,8,7] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[5,4,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,5,3,2,6,1,8,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,3,5,2,6,1,8,7] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,4,6,1,8,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,5,6,1,8,7] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,6,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,6,4,3,2,8,7] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[2,1,6,5,4,3,8,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,5,6,4,3,8,7] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,6,5,3,8,7] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,1,5,4,6,3,8,7] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[3,4,2,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,3,4,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,1,4,3,6,5,8,7] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[5,4,3,2,1,6,8,7] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,1,5,4,3,6,8,7] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[2,3,4,1,5,6,8,7] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[2,1,3,4,5,6,8,7] => [1,3,4,5,6,8,2,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,4,5,6,8,7] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[5,7,6,4,3,2,1,8] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,7,6,5,3,2,1,8] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,7,6,5,2,1,8] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,7,6,5,4,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,6,7,5,4,1,8] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,2,7,6,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,4,2,7,6,1,8] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,2,5,4,7,6,1,8] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,3,4,5,7,6,1,8] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,3,4,6,7,5,2,8] => [1,3,4,6,7,2,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,6,7,5,4,3,8] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,5,6,7,4,8] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[4,3,2,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[3,2,4,1,7,6,5,8] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,3,4,1,7,6,5,8] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,6,7,5,8] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[1,4,3,2,7,6,5,8] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,4,2,6,7,5,8] => [1,3,4,2,6,7,5,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[3,2,1,4,7,6,5,8] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,4,3,2,1,7,6,8] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[2,3,1,5,4,7,6,8] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[1,3,2,5,4,7,6,8] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[1,2,3,5,4,7,6,8] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[3,2,4,1,5,7,6,8] => [1,5,7,2,4,3,6,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[1,3,2,4,5,7,6,8] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[1,2,3,4,5,7,6,8] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[4,3,2,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,2,4,1,6,5,7,8] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[2,3,4,1,6,5,7,8] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,2,4,3,6,5,7,8] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[3,2,5,4,1,6,7,8] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[1,3,2,5,4,6,7,8] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[1,2,3,5,4,6,7,8] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[1,3,2,4,5,6,7,8] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[1,2,3,4,8,6,7,5] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,2,3,5,8,6,7,4] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,5,6,8,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,2,3,8,5,6,7,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,8,5,7,6,4] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[1,2,3,8,6,5,7,4] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[1,2,3,8,6,7,5,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,4,5,8,6,7,3] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,4,8,6,5,7,3] => [1,2,4,8,3,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[1,2,8,5,4,6,7,3] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[1,3,2,8,6,5,7,4] => [1,3,2,8,4,5,7,6] => {{1},{2,3},{4,5,6,8},{7}} => {{1},{2,3},{4,5,6,8},{7}}
[1,3,7,4,5,6,2,8] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,8,5,4,6,7,2] => [1,3,8,2,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[1,3,8,5,6,7,4,2] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,8,6,5,7,4,2] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,5,3,4,6,7,8,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[1,8,4,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => {{1},{2,3,4,8},{5},{6},{7}} => {{1},{2,3,4,8},{5},{6},{7}}
[1,8,4,7,6,5,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,5,4,3,6,8,2] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[1,8,5,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,4,5,6,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,4,6,5,3,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,8,6,5,4,7,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,5,4,6,3,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,8,7,5,6,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,8,5,7,6,4] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,4,3,8,6,7,5] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,1,6,4,5,3,8,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,7,4,6,5,8,3] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,1,8,5,4,7,6,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,5,6,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,5,6,7,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[2,3,4,8,5,7,6,1] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[2,3,4,8,6,5,7,1] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[2,3,4,8,6,7,5,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[2,3,6,4,5,1,8,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,7,4,5,6,8,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[2,5,3,4,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,4,8,6,7,1] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[2,8,3,4,5,6,7,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,8,3,5,4,7,6,1] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[2,8,3,5,7,6,4,1] => [1,2,8,3,5,7,4,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[2,5,4,3,8,6,7,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,8,4,3,5,7,6,1] => [1,2,8,3,5,7,4,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,2,1,5,8,6,7,4] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,7,5,6,4,8] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,2,1,7,5,6,8,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,1,8,5,6,7,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,8,5,7,6,4] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,2,1,8,6,5,7,4] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,2,1,8,6,7,5,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,4,1,8,6,7,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,7,5,4,6,1,8] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,2,3,1,6,5,8,7] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,2,3,1,6,7,8,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,3,1,7,6,8,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,2,3,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,3,1,8,7,6,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,3,5,1,8,7,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,2,3,7,5,6,8,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[4,2,3,7,6,5,8,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,2,3,8,7,6,5,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,2,3,4,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,3,4,6,5,1,8] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,2,3,6,5,4,1,8] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,4,3,1,7,6,8] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[5,2,4,3,1,8,7,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,2,4,3,6,1,7,8] => [1,7,8,2,4,3,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,4,3,6,1,8,7] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[7,2,4,3,6,5,8,1] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1},{2},{3,4},{5,6},{7,8}}
[4,3,2,1,8,6,7,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,7,5,6,8,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,3,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,3,2,4,1,6,8,7] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,2,5,4,1,8,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,2,7,6,5,4,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,3,4,2,1,7,8,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,4,2,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,7,4,6,5,2,1] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[7,3,6,5,4,2,1,8] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,2,8,6,7,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,4,3,6,5,2,1,8] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,4,2,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,3,5,4,2,1,8] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,7,3,5,4,6,2,1] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[8,7,3,6,5,4,2,1] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[8,5,4,3,2,7,6,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,7,4,3,6,5,2,1] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[2,4,1,3,6,5,8,7] => [1,3,6,2,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,1,4,6,3,5,8,7] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[2,4,6,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,1,4,6,3,8,5,7] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,4,1,6,3,8,5,7] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,6,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,1,4,6,8,3,5,7] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[2,4,1,6,8,3,5,7] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,6,1,8,3,5,7] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,6,8,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,4,1,6,3,7,5,8] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,4,1,3,6,7,8,5] => [1,3,6,7,8,2,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[2,4,1,6,3,7,8,5] => [1,6,2,4,3,7,8,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,1,6,7,3,8,5] => [1,6,7,2,4,3,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,6,7,1,8,3,5] => [1,8,2,4,6,7,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,4,3,7,5,8,6] => [1,4,2,3,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,4,1,3,7,5,8,6] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,7,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[2,1,4,3,7,8,5,6] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[2,4,1,3,7,8,5,6] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,4,7,1,3,8,5,6] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,7,8,1,3,5,6] => [1,3,5,6,2,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[2,4,1,5,3,7,6,8] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[2,1,4,5,7,3,8,6] => [1,4,5,7,2,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,5,7,1,3,8,6] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,4,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,4,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,1,5,3,8,6,7] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[2,4,1,5,3,6,7,8] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[2,4,1,5,6,7,8,3] => [1,5,6,7,8,2,4,3] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,4,5,6,1,7,8,3] => [1,7,8,2,4,5,6,3] => {{1},{2,4,5,6,7},{3,8}} => {{1},{2,5,7},{3,4,6,8}}
[2,4,5,6,7,1,8,3] => [1,8,2,4,5,6,7,3] => {{1},{2,3,8},{4},{5},{6},{7}} => {{1},{2,3,8},{4},{5},{6},{7}}
[2,4,5,6,7,8,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[2,1,5,3,6,4,8,7] => [1,5,2,3,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,1,5,6,3,4,8,7] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,5,6,8,1,3,4,7] => [1,3,4,7,2,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,5,6,7,8,3,4] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,1,6,7,8,3,4] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[2,5,6,1,7,8,3,4] => [1,7,8,2,5,6,3,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[2,5,6,7,8,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[2,1,5,3,7,4,8,6] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,1,7,3,4,8,6] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,5,7,3,8,4,6] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,1,5,7,8,3,4,6] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[2,5,7,8,1,3,4,6] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,3,5,1,7,4,8,6] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,3,5,6,1,7,8,4] => [1,7,8,2,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,5,6,7,8,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[2,1,6,3,7,4,8,5] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,6,1,3,7,4,8,5] => [1,3,7,2,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,3,7,8,4,5] => [1,6,2,3,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,1,7,3,8,4,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,3,4,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,7,8,1,3,4,5] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[2,1,6,3,7,4,5,8] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[2,3,1,6,4,7,5,8] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,3,6,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => {{1},{2,4},{3,5,7},{6},{8}} => {{1},{2,5,7},{3,4},{6},{8}}
[2,1,6,3,4,7,8,5] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,6,7,8,4,5] => [1,3,6,7,8,2,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[2,3,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,6,1,7,8,4,5] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[2,1,6,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,6,8,4,5,7] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,3,6,1,8,4,5,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,3,4,5,8,7] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,3,4,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,6,1,3,4,5,7,8] => [1,3,4,5,7,8,2,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,4,6,1,7,5,8] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,3,4,6,7,8,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[2,1,7,8,3,4,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,1,8,3,4,5,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,1,3,4,5,6] => [1,3,4,5,6,2,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,3,1,7,4,8,5,6] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,7,8,1,4,5,6] => [1,4,5,6,2,3,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,3,4,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,4,7,8,5,6] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,7,1,8,5,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,1,3,4,5,6,8] => [1,3,4,5,6,8,2,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,3,4,5,7,1,8,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,3,4,5,7,8,1,6] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,1,8,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,3,4,5,6,7] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,3,8,4,5,6,7] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,4,8,5,6,7] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,3,4,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,1,5,6,7] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[2,3,4,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,1,8,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,8,1,6,7] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[2,3,4,5,6,8,1,7] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,4,2,6,5,8,7] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[3,4,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[3,1,4,2,6,8,5,7] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,4,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,1,4,6,8,2,5,7] => [1,4,6,8,2,5,7,3] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,4,6,7,1,2,5,8] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[3,1,4,2,6,7,8,5] => [1,4,2,6,7,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,1,2,7,8,5] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,6,7,1,2,8,5] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[3,4,6,1,7,8,2,5] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[3,4,6,7,1,8,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,2,7,5,8,6] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[3,4,7,1,8,2,5,6] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,7,8,1,2,5,6] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[3,4,5,7,1,2,8,6] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,1,4,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,5,8,1,2,6,7] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,1,4,2,5,6,7,8] => [1,4,2,5,6,7,8,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,5,6,7,8,2] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,5,6,7,1,8,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,5,2,6,4,8,7] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[3,5,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[3,5,6,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,1,2,6,8,4,7] => [1,2,6,8,3,5,4,7] => {{1},{2},{3,5,6},{4,7,8}} => {{1},{2},{3,6},{4,5,7,8}}
[3,1,5,6,2,8,4,7] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[3,5,6,8,1,2,4,7] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,5,6,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,5,6,1,7,8,2,4] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,1,5,2,7,4,8,6] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,1,5,7,2,4,8,6] => [1,5,7,2,4,8,3,6] => {{1},{2,4,5},{3,7},{6,8}} => {{1},{2,5},{3,4,8},{6,7}}
[3,1,5,7,2,8,4,6] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,7,2,8,4,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,1,5,2,7,4,6,8] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,3,5,2,7,4,8,6] => [1,3,5,2,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,5,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,3,2,5,4,8,6,7] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[1,3,2,5,8,4,6,7] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,3,5,8,2,4,6,7] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,3,5,2,6,8,4,7] => [1,3,5,2,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,5,2,6,7,4,8] => [1,3,5,2,6,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,3,5,6,2,7,4,8] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,3,5,6,7,8,2,4] => [1,3,5,6,7,8,2,4] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,1,6,2,7,4,8,5] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,7,2,4,8,5] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[3,6,1,7,2,8,4,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,6,7,1,2,8,4,5] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,6,1,7,8,2,4,5] => [1,7,8,2,4,5,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,2,7,4,5,8] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,3,2,6,4,7,5,8] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[1,3,6,2,4,7,8,5] => [1,3,6,2,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,2,6,7,4,8,5] => [1,2,6,7,3,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,6,2,7,8,4,5] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,8,2,4,5,7] => [1,6,8,2,4,5,7,3] => {{1},{2,4,5,6},{3,8},{7}} => {{1},{2,5,8},{3,4,6},{7}}
[1,3,2,6,4,8,5,7] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[3,1,6,2,4,5,8,7] => [1,6,2,4,5,8,3,7] => {{1},{2,3,6,7,8},{4},{5}} => {{1},{2,3,6,7,8},{4},{5}}
[1,3,2,6,4,5,7,8] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[3,1,2,4,6,7,8,5] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,4,6,7,2,8,5] => [1,3,4,6,7,2,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,1,7,8,2,4,5,6] => [1,7,8,2,4,5,6,3] => {{1},{2,4,5,6,7},{3,8}} => {{1},{2,5,7},{3,4,6,8}}
[1,3,2,7,4,8,5,6] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[1,3,7,2,8,4,5,6] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,1,2,4,5,6,8] => [1,2,4,5,6,8,3,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,2,7,4,5,6,8] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[1,3,4,5,7,8,2,6] => [1,3,4,5,7,8,2,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,1,8,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => {{1},{2,3,8},{4},{5},{6},{7}} => {{1},{2,3,8},{4},{5},{6},{7}}
[1,3,2,8,4,5,6,7] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[3,1,2,4,8,5,6,7] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,2,4,8,5,6,7] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[1,3,4,2,8,5,6,7] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,1,2,4,5,8,6,7] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,2,4,5,8,6,7] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[4,1,5,2,6,3,8,7] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,5,1,2,6,3,8,7] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,5,6,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,5,2,6,8,3,7] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,5,1,6,2,8,3,7] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,1,2,8,3,7] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,5,6,8,1,2,3,7] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[4,5,1,6,2,7,3,8] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,5,6,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,1,2,8,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,5,6,7,8,2,3] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,1,8,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,2,7,3,8,6] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[4,5,1,7,2,3,8,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,2,7,8,3,6] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,7,2,8,3,6] => [1,5,7,2,8,3,6,4] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[4,5,1,7,2,8,3,6] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,5,7,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[4,5,7,8,1,2,3,6] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[4,5,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => {{1},{2},{3,4,7},{5,6,8}} => {{1},{2},{3,4,6,7},{5,8}}
[1,4,2,5,3,7,6,8] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[1,4,2,5,7,3,8,6] => [1,4,2,5,7,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,5,2,7,3,8,6] => [1,4,5,2,7,3,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,4,5,7,2,3,8,6] => [1,4,5,7,2,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,2,5,7,8,3,6] => [1,4,2,5,7,8,3,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,5,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,4,2,5,3,8,6,7] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[1,4,2,5,8,3,6,7] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,5,6,3,8,7] => [1,2,5,6,3,8,4,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,4,5,2,6,3,8,7] => [1,4,5,2,6,3,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[1,4,2,5,3,6,7,8] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[1,4,2,5,6,7,3,8] => [1,4,2,5,6,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,5,6,2,7,3,8] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,5,6,7,2,3,8] => [1,4,5,6,7,2,3,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[4,1,2,5,6,7,8,3] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[1,4,2,5,6,7,8,3] => [1,4,2,5,6,7,8,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,5,2,6,7,8,3] => [1,4,5,2,6,7,8,3] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,4,5,6,7,8,2,3] => [1,4,5,6,7,8,2,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,2,7,3,8,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,6,1,2,7,8,3,5] => [1,2,7,8,3,5,4,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,7,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,6,7,8,1,2,3,5] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[4,6,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[4,6,1,2,3,7,5,8] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[1,4,2,6,3,7,5,8] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,1,6,2,3,7,8,5] => [1,6,2,3,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,6,7,3,8,5] => [1,2,6,7,3,8,4,5] => {{1},{2},{3,5,6,8},{4,7}} => {{1},{2},{3,6,7},{4,5,8}}
[1,4,6,2,7,3,8,5] => [1,4,6,2,7,3,8,5] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[1,4,2,6,7,8,3,5] => [1,4,2,6,7,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,6,2,7,8,3,5] => [1,4,6,2,7,8,3,5] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,4,6,7,2,8,3,5] => [1,4,6,7,2,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,2,8,3,5,7] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[4,6,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,1,2,6,3,8,5,7] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[1,4,2,6,3,8,5,7] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,6,8,5,7] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[4,6,1,2,3,5,7,8] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[1,4,2,6,3,5,7,8] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,1,2,3,6,5,7,8] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[4,1,2,3,6,7,8,5] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,6,7,8,5] => [1,4,2,3,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[1,2,4,6,7,8,3,5] => [1,2,4,6,7,8,3,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,7,1,2,8,3,5,6] => [1,2,8,3,5,6,4,7] => {{1},{2},{3,4,7,8},{5},{6}} => {{1},{2},{3,4,7,8},{5},{6}}
[4,1,7,8,2,3,5,6] => [1,7,8,2,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[1,4,2,7,3,8,5,6] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,1,2,7,8,3,5,6] => [1,2,7,8,3,5,6,4] => {{1},{2},{3,5,6,7},{4,8}} => {{1},{2},{3,6,8},{4,5,7}}
[1,4,2,7,8,3,5,6] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,7,8,2,3,5,6] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,7,5,8,6] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,8,5,6] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,7,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[4,7,1,2,3,5,6,8] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,7,3,5,6,8] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,1,2,3,7,5,6,8] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,4,2,3,7,5,6,8] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[4,1,2,3,5,7,6,8] => [1,2,3,5,7,4,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,4,2,3,5,7,6,8] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[4,1,2,3,5,7,8,6] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[1,2,4,5,7,3,8,6] => [1,2,4,5,7,3,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,1,2,3,5,6,7] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,4,2,8,3,5,6,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,8,5,6,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,8,5,6,7] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[1,2,4,3,8,5,6,7] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[4,1,2,3,5,8,6,7] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,5,8,6,7] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[4,1,2,3,5,6,8,7] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,5,6,7,8] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,1,6,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[5,6,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[1,5,2,6,3,7,4,8] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,6,1,2,3,7,8,4] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,5,6,7,8,2,3,4] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,8,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[5,6,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,5,2,6,3,8,4,7] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,5,6,2,3,8,4,7] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,2,3,4,7,8] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,2,6,3,4,7,8] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[1,5,2,3,6,4,7,8] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,2,5,6,3,4,7,8] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[1,2,5,3,6,7,4,8] => [1,2,5,3,6,7,4,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,1,2,3,6,7,8,4] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,5,2,3,6,7,8,4] => [1,5,2,3,6,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,5,3,6,7,8,4] => [1,2,5,3,6,7,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,5,6,3,7,8,4] => [1,2,5,6,3,7,8,4] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,2,5,6,7,3,8,4] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,5,6,7,8,3,4] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,7,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,7,8,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[1,5,2,7,3,8,4,6] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[1,5,7,2,8,3,4,6] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,2,7,3,4,8,6] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[5,7,1,2,3,4,6,8] => [1,2,3,4,6,8,5,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,5,2,7,3,4,6,8] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,5,2,3,7,4,6,8] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,5,2,3,4,7,6,8] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[5,1,2,8,3,4,6,7] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[1,5,2,8,3,4,6,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,5,8,2,3,4,6,7] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,2,3,8,4,6,7] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[1,2,5,3,8,4,6,7] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,5,2,3,4,8,6,7] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[1,2,3,5,4,8,6,7] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[5,1,2,3,4,6,8,7] => [1,2,3,4,6,8,5,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,5,2,3,4,6,7,8] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,1,7,8,2,3,4,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,7,3,8,4,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,6,7,2,8,3,4,5] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[1,6,7,8,2,3,4,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,1,2,3,7,8,4,5] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,1,7,2,3,4,5,8] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,7,3,4,5,8] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,6,2,7,3,4,5,8] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,7,2,3,4,5,8] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[1,6,2,3,4,7,5,8] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,2,3,6,4,7,5,8] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,1,2,3,4,7,8,5] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[1,2,6,3,4,7,8,5] => [1,2,6,3,4,7,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,3,6,4,7,8,5] => [1,2,3,6,4,7,8,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,6,7,4,8,5] => [1,2,3,6,7,4,8,5] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[6,1,8,2,3,4,5,7] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,1,2,8,3,4,5,7] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[1,6,2,8,3,4,5,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,8,2,3,4,5,7] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[1,6,2,3,4,8,5,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,6,3,4,8,5,7] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,3,6,4,8,5,7] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,1,2,3,4,5,8,7] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[1,6,2,3,4,5,7,8] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,2,3,6,4,5,7,8] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,1,8,2,3,4,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,2,8,3,4,5,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,7,2,8,3,4,5,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,7,8,2,3,4,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,2,3,8,4,5,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,2,3,4,8,5,6] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,7,2,3,4,8,5,6] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,2,3,7,4,8,5,6] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[7,1,2,3,4,5,8,6] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[1,7,2,3,4,5,8,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,7,3,4,5,8,6] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,3,7,4,5,8,6] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,4,7,5,8,6] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,2,3,4,7,8,5,6] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[1,7,2,3,4,5,6,8] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,2,3,7,4,5,6,8] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,8,4,5,6,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,4,8,5,6,7] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,3,2,6,1,4,8,7] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,3,2,5,4,8,1,6] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[8,4,5,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[7,4,5,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[6,4,5,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,6,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,6,1,5,4,2,8,7] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[4,6,5,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[5,6,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,4,3,7,2,5,1] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,6,4,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,4,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,7,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,7,5,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,7,1,5,4,8,2,6] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,1,7,5,4,8,3,6] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,1,5,4,7,6,2] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,8,5,1,3,7,6,2] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,8,4,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,4,3,7,1,5,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,8,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[6,8,5,7,3,1,4,2] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[5,8,6,7,1,3,4,2] => [1,3,4,2,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[4,8,6,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,8,1,6,7,4,5,2] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,6,7,4,5,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,1,6,8,4,2,5] => [1,6,8,2,5,3,7,4] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[4,7,6,1,8,3,2,5] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,7,6,8,1,3,2,4] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[5,4,7,2,1,8,3,6] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,4,7,2,8,1,3,5] => [1,3,5,2,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,4,6,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,2,6,7,4,5,1] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,3,2,6,8,4,1,5] => [1,5,2,6,8,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,7,8,1,4,5] => [1,4,5,2,7,8,3,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[5,3,2,7,1,8,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,3,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,3,2,8,1,7,6,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,3,2,8,7,1,5,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,3,2,8,6,5,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,7,2,6,5,3,1] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,4,8,2,6,5,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,4,8,2,7,1,5,3] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,4,8,2,1,7,6,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,5,8,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,1,8,2,7,6,4] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,1,5,8,3,7,6,4] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,8,7,3,5,4] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,8,7,2,5,4] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,6,8,1,7,2,5,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,8,7,1,2,4,3] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[6,5,8,7,2,1,4,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[7,5,8,6,2,4,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[5,7,8,6,1,4,2,3] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[4,7,8,1,6,5,2,3] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,1,8,6,5,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,7,8,6,5,3,4] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,1,7,6,5,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,7,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,8,7,5,4,1,3,2] => [1,3,2,4,5,6,8,7] => {{1},{2,3},{4},{5},{6},{7,8}} => {{1},{2,3},{4},{5},{6},{7,8}}
[8,7,6,5,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[6,7,8,9,10,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[6,5,4,3,2,1,10,9,8,7] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[9,7,5,10,3,8,2,6,1,4] => [1,4,2,6,3,8,5,10,7,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[4,3,2,1,10,9,8,7,6,5] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[2,1,10,9,8,7,6,5,4,3] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[10,9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[6,3,5,1,2,4,7,8] => [1,2,4,7,8,3,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,3,5,1,2,4,6,8] => [1,2,4,6,8,3,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,5,8,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,5,8,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[8,5,7,1,2,3,4,6] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[5,3,6,7,1,2,4,8] => [1,2,4,8,3,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[6,2,5,7,1,3,4,8] => [1,3,4,8,2,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,5,7,1,2,4,8] => [1,2,4,8,3,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[6,2,4,8,1,3,5,7] => [1,3,5,7,2,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,3,5,8,1,2,4,7] => [1,2,4,7,3,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,2,7,8,1,4,5,6] => [1,4,5,6,2,7,8,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,4,6,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,6,2,4,1,3,7,8] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,8,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[4,8,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[6,8,2,4,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[3,8,2,7,1,4,5,6] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,8,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,8,2,7,1,3,4,6] => [1,3,4,6,2,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,1,2,3,6] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,8,5,7,1,2,3,4] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[7,8,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[4,3,2,7,1,5,6,8] => [1,5,6,8,2,7,3,4] => {{1},{2,5},{3,6,7},{4,8}} => {{1},{2,7},{3,6,8},{4,5}}
[5,3,2,7,1,4,6,8] => [1,4,6,8,2,7,3,5] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[4,3,2,8,1,5,6,7] => [1,5,6,7,2,8,3,4] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[5,3,2,8,1,4,6,7] => [1,4,6,7,2,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,5,3,8,1,2,4,7] => [1,2,4,7,3,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[6,5,4,8,1,2,3,7] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[7,4,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,4,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[8,4,2,5,1,3,6,7] => [1,3,6,7,2,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[8,4,2,6,1,3,5,7] => [1,3,5,7,2,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,6,2,4,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,4,2,7,1,3,5,6] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,5,4,7,1,2,3,6] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,7,2,4,1,3,5,6] => [1,3,5,6,2,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,7,2,6,1,3,4,5] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,4,6,1,2,3,5] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[5,6,2,4,8,1,3,7] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,7,2,4,8,1,3,6] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,3,4,8,1,2,5] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[5,8,4,6,7,1,2,3] => [1,2,3,4,6,7,5,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[6,8,2,5,7,1,3,4] => [1,3,4,2,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[7,8,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[5,4,2,6,8,1,3,7] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[6,3,2,5,8,1,4,7] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[6,4,3,5,8,1,2,7] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[6,5,2,4,8,1,3,7] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,3,2,7,8,1,5,6] => [1,5,6,2,7,8,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,2,4,6,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,3,4,6,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[6,4,7,2,5,1,3,8] => [1,3,8,2,5,4,7,6] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[6,4,8,2,5,1,3,7] => [1,3,7,2,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,4,8,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,8,2,7,1,3,4] => [1,3,4,2,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[7,5,8,2,4,1,3,6] => [1,3,6,2,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,5,8,2,6,1,3,4] => [1,3,4,2,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[7,5,8,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[8,6,7,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,4,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[6,5,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[7,5,3,2,6,1,4,8] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,4,3,2,8,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,5,3,2,8,1,4,7] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,5,3,2,8,1,4,6] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[7,6,5,3,8,1,2,4] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[8,5,3,2,6,1,4,7] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,7,5,3,6,1,2,4] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[8,7,6,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[4,8,3,7,2,6,1,5] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,8,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[5,8,4,7,3,6,1,2] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,8,3,7,2,5,1,4] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[6,8,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[6,8,4,7,3,5,1,2] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[6,8,5,7,2,4,1,3] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[6,8,5,7,3,4,1,2] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[7,8,3,6,2,5,1,4] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,4,6,2,5,1,3] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[7,8,4,6,3,5,1,2] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[7,8,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[6,4,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,5,3,8,2,7,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,5,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[8,5,3,7,2,6,1,4] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,4,7,2,6,1,3] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[8,5,4,7,3,6,1,2] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,6,4,7,2,5,1,3] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[8,7,5,6,2,4,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[6,5,4,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[8,5,4,3,2,7,1,6] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[8,7,6,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,1,2,3,4,7,5,6] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[8,1,2,3,7,4,5,6] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,1,2,3,8,7,4,6] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,1,2,8,7,3,5,6] => [1,2,8,3,5,6,4,7] => {{1},{2},{3,4,7,8},{5},{6}} => {{1},{2},{3,4,7,8},{5},{6}}
[4,1,2,7,6,3,8,5] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,1,2,5,6,3,4,7] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[8,1,2,7,6,3,4,5] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,1,2,5,6,3,8,4] => [1,2,5,6,3,8,4,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[3,1,7,2,6,4,8,5] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,1,8,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,4,2,3,8,5,7] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[8,1,4,2,3,7,5,6] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[8,1,7,2,3,4,5,6] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,1,5,2,3,8,4,7] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,1,4,2,7,3,8,6] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,1,4,2,6,3,5,7] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,1,4,2,6,3,8,5] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,5,2,7,3,4,6] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,1,5,2,6,3,8,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,1,4,2,8,7,3,6] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,1,4,2,6,7,8,3] => [1,4,2,6,7,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,6,2,7,4,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,4,8,2,3,5,6] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,1,8,5,2,3,4,6] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,1,8,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,4,5,2,7,3,6] => [1,4,5,2,7,3,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,1,6,5,2,7,3,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,1,4,5,2,7,8,3] => [1,4,5,2,7,8,3,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[3,1,4,8,7,2,5,6] => [1,4,8,2,5,6,3,7] => {{1},{2,4},{3,7,8},{5},{6}} => {{1},{2,7,8},{3,4},{5},{6}}
[3,1,7,5,6,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[8,1,4,5,7,2,3,6] => [1,4,5,7,2,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,4,7,6,2,3,5] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,1,7,5,6,2,3,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,4,5,8,7,2,6] => [1,4,5,8,2,6,3,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,1,8,5,6,7,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,4,5,6,7,2,3] => [1,4,5,6,7,2,3,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[7,3,1,2,4,5,8,6] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,3,1,2,4,7,5,6] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,6,1,2,3,4,8,5] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,8,1,2,3,7,4,6] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[8,6,1,2,3,7,4,5] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,4,1,2,8,3,6,7] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,4,1,2,6,3,8,5] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,7,1,2,6,3,8,4] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,4,1,2,8,7,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,8,1,2,6,7,3,4] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,3,1,6,2,8,5,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,6,2,7,8,5] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[7,3,1,6,2,4,8,5] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[8,3,1,5,2,7,4,6] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,3,1,6,2,7,4,5] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,3,1,5,2,7,8,4] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,4,1,5,2,3,8,6] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,1,8,2,3,5,6] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[7,4,1,6,2,3,8,5] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,7,1,5,2,3,4,6] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,7,1,5,2,3,8,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,1,5,2,8,3,7] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,4,1,5,2,7,3,6] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,4,1,6,2,7,3,5] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[6,8,1,5,2,7,3,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,4,1,5,2,7,8,3] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,3,1,8,7,2,5,6] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,7,6,2,8,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[8,3,1,5,6,2,4,7] => [1,5,6,2,4,7,3,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[8,3,1,7,6,2,4,5] => [1,7,2,4,5,3,6,8] => {{1},{2,3,6,7},{4},{5},{8}} => {{1},{2,3,6,7},{4},{5},{8}}
[7,3,1,5,6,2,8,4] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[8,4,1,5,7,2,3,6] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[7,8,1,5,6,2,3,4] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,4,1,5,6,2,8,3] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[4,3,1,5,6,8,2,7] => [1,5,6,8,2,7,3,4] => {{1},{2,5},{3,6,7},{4,8}} => {{1},{2,7},{3,6,8},{4,5}}
[4,3,1,5,8,7,2,6] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,8,6,7,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,1,5,6,7,2,4] => [1,5,6,7,2,4,3,8] => {{1},{2,5},{3,4,6,7},{8}} => {{1},{2,4,5},{3,6,7},{8}}
[8,4,1,5,6,7,2,3] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[4,3,1,5,6,7,8,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,1,6,7,4,5] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,4,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,5,1,3,4,8,6] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,7,1,3,4,5,6] => [1,3,4,5,6,2,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,8,5,1,3,7,4,6] => [1,3,7,2,8,4,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,6,8,1,3,7,4,5] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[2,8,4,1,6,3,5,7] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[2,7,4,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,7,8,1,6,3,4,5] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[2,7,5,1,6,3,8,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,5,4,1,8,7,3,6] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,5,1,6,7,3,4] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,5,4,1,6,7,8,3] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[6,3,4,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[7,3,5,1,2,4,8,6] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,8,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,5,1,2,7,8,4] => [1,2,7,8,3,5,4,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,4,1,2,3,8,6] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,7,4,1,2,3,8,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,8,5,1,2,3,4,7] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[6,7,5,1,2,3,8,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,5,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,8,5,1,2,7,3,4] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,5,4,1,2,7,8,3] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[8,3,4,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,3,4,1,6,2,8,5] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,5,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,3,5,1,6,2,8,4] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[8,5,4,1,6,2,3,7] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,5,4,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,8,5,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,5,4,1,6,2,8,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,4,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,4,1,8,7,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,5,4,1,6,7,2,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[5,3,4,1,6,7,8,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,1,7,5,6] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,8,6,1,7,4,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,6,5,1,7,8,4] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[2,8,4,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[2,7,4,8,1,3,5,6] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,7,4,6,1,3,8,5] => [1,3,8,2,7,4,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,6,1,3,4,5] => [1,3,4,5,2,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[2,6,4,5,1,8,3,7] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[2,8,4,5,1,7,3,6] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,4,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,6,5,1,7,3,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,3,4,6,1,2,8,5] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[7,3,8,5,1,2,4,6] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,3,8,6,1,2,4,5] => [1,2,4,5,3,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[7,3,6,5,1,2,8,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,4,5,1,2,8,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,4,5,1,8,2,7] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,4,5,1,7,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,3,4,6,1,7,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,6,5,1,7,2,4] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[8,6,4,5,1,7,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,3,4,5,1,7,8,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,6,1,5,7] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,7,1,5,6] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,3,4,7,6,1,8,5] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,5,6,1,4,7] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[2,3,8,5,7,1,4,6] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,3,8,7,6,1,4,5] => [1,4,5,2,3,8,6,7] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[2,8,4,5,6,1,3,7] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,4,7,6,1,3,5] => [1,3,5,2,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,8,7,5,6,1,3,4] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,7,4,5,6,1,8,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,4,5,6,1,8,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,5,8,7,1,6] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,3,4,8,6,7,1,5] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[2,3,8,5,6,7,1,4] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,8,4,5,6,7,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,1,2,3,4,5,6,9,7] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[7,1,2,3,4,5,8,9,6] => [1,2,3,4,5,8,9,6,7] => {{1},{2},{3},{4},{5},{6,8},{7,9}} => {{1},{2},{3},{4},{5},{6,9},{7,8}}
[8,1,2,3,9,4,5,6,7] => [1,2,3,9,4,5,6,7,8] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[9,1,8,2,3,4,5,6,7] => [1,8,2,3,4,5,6,7,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[9,1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[3,1,4,5,6,7,8,9,2] => [1,4,5,6,7,8,9,2,3] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[2,9,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[2,9,8,1,3,4,5,6,7] => [1,3,4,5,6,7,2,9,8] => {{1},{2,3,4,5,6,7},{8,9}} => {{1},{2,3,4,5,6,7},{8,9}}
[9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[2,3,4,5,6,7,9,1,8] => [1,8,2,3,4,5,6,7,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[2,3,4,5,6,7,8,9,1] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[3,5,2,6,1,4,8,7] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,5,2,6,4,1,8,7] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,7,4,8,1,6] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[3,5,2,7,4,8,6,1] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[4,5,7,2,3,8,6,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[4,5,7,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[4,5,6,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,6,4,2,8,7] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,5,6,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,5,6,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,7,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,7,3,2,8,6,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,6,7,3,8,2,5,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,7,3,8,2,1,5] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,7,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,7,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,5,7,1,3,8,2,6] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,7,4,8,2,6] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,5,7,4,8,3,6] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,1,5,7,4,8,6,3] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,7,4,8,6,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,5,7,1,3,8,6,2] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,5,7,3,1,8,6,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,6,7,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,7,3,8,5,1,2] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[4,6,7,3,8,5,2,1] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[5,6,7,8,3,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,1,3,4,2] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[4,6,7,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,6,1,7,8,4,5,2] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[2,1,6,7,8,4,5,3] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,7,8,4,2,5] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,6,7,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,8,1,3,2,4] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[4,5,7,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,7,2,8,1,3,5] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,7,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,6,7,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,6,2,7,8,4,5,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[3,6,2,7,8,4,1,5] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,2,7,8,1,4,5] => [1,4,5,2,7,8,3,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[3,5,2,7,1,8,4,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,4,2,1,7,8,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,2,7,8,6,5] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[3,5,2,7,1,8,6,4] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,6,2,7,8,1,5,4] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,2,7,8,5,1,4] => [1,4,2,7,8,3,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[3,6,2,7,8,5,4,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[4,6,7,2,8,5,3,1] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[4,6,7,2,8,5,1,3] => [1,3,2,8,4,6,7,5] => {{1},{2,3},{4,5,8},{6},{7}} => {{1},{2,3},{4,5,8},{6},{7}}
[4,6,7,2,8,1,5,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,5,7,2,1,8,6,3] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,5,7,1,2,8,6,3] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,5,1,7,2,8,6,4] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,5,7,3,8,6,4] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,6,1,7,8,2,5,4] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,6,7,1,8,2,5,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,8,2,1,4,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,2,4,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[5,6,7,8,1,4,2,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[4,6,7,1,8,5,2,3] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[3,6,1,7,8,5,2,4] => [1,7,8,2,4,3,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,7,8,5,3,4] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,7,8,5,4,2] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[4,6,7,1,8,5,3,2] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[5,6,7,8,1,4,3,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,6,7,8,4,1,3,2] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[5,6,7,8,4,3,2,1,10,9] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[4,5,6,3,2,1,9,10,8,7] => [1,9,10,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[2,1,7,8,9,10,6,5,4,3] => [1,7,8,9,10,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[6,7,8,9,10,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[6,5,8,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[2,6,7,4,5,1,8,3] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,7,4,5,2,3,8] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,4,7,6,2,3,8] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,5,4,7,6,1,8,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,5,4,7,6,8,1,2] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[4,5,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,8,3,7,5,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[6,3,8,4,5,7,1,2] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,3,4,8,6,7,1,2] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[4,3,5,6,8,7,1,2] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,2,5,6,1,8,7,4] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,5,6,8,1,7,3] => [1,7,2,5,6,8,3,4] => {{1},{2,3,7},{4,5,6,8}} => {{1},{2,3,5,8},{4,6,7}}
[5,2,4,8,6,1,7,3] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,2,8,4,5,1,7,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,8,2,4,5,1,6,3] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[4,1,3,2,8,6,5,7] => [1,3,2,8,4,5,7,6] => {{1},{2,3},{4,5,6,8},{7}} => {{1},{2,3},{4,5,6,8},{7}}
[5,1,3,8,2,6,4,7] => [1,3,8,2,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,1,8,3,2,5,4,7] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,8,1,3,2,5,4,6] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[7,8,2,3,1,5,6,4] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,2,8,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,3,8,1,6,7,4] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,8,2,1,7,5,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,3,2,1,6,5,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,4,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[5,4,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,7,8,1,6,3] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[2,5,3,7,1,6,8,4] => [1,6,8,2,5,3,7,4] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[1,5,3,7,2,6,4,8] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,8,5,6,2,1,4,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,5,8,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,4,1,8,7,2,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,8,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[5,3,1,8,2,7,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,3,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,2,1,3,8,5,7,6] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,2,1,8,3,4,7,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,2,1,3,4,6,5] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,3,1,2,6,5,8,7] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[5,3,1,6,2,4,8,7] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[6,3,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,3,1,5,2,8,4,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,4,5,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,4,5,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,5,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,6,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[2,1,6,5,3,4,8,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,5,2,4,8,7] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,6,5,1,2,3,8,7] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[5,6,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,5,4,1,2,3,8,7] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,5,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,7,4,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[5,7,4,1,2,8,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,7,5,1,2,8,3,6] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,7,1,5,2,8,4,6] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,8,1,5,2,7,4,6] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[4,8,5,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,8,4,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,8,6,7,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,8,6,1,7,2,3,5] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,1,8,6,7,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,6,8,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,6,8,1,2,3,4] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[5,4,7,1,2,8,3,6] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[7,4,6,1,8,2,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,3,1,7,8,2,4,5] => [1,7,8,2,4,5,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,2,7,8,5,6] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,1,4,3,8,7,5,6] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,4,1,2,8,7,5,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,8,1,2,7,3,6] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,8,1,2,7,3,6] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,5,1,8,2,7,4,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,1,5,8,3,7,4,6] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,8,7,3,4,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[5,6,8,7,1,2,3,4] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[7,5,8,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[8,5,7,6,1,2,3,4] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[5,7,8,6,1,2,3,4] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[2,1,7,8,6,3,4,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,6,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,6,1,2,3,4] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,8,7,5,1,2,3,4] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[6,4,7,3,8,5,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,7,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[6,4,7,2,5,1,8,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,4,2,7,6,1,8,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,7,6,8,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,4,3,7,8,6,1,2] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,8,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,3,8,6,7,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,3,6,8,7,1,2] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[5,4,2,6,7,1,8,3] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,2,6,7,1,3,8] => [1,3,8,2,6,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,2,6,1,7,4,8] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,3,2,6,1,8,7,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,4,2,8,6,1,7,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,4,8,2,5,1,7,3] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,4,2,5,1,6,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,4,2,8,6,1,3,7] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,2,6,1,8,4,7] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[4,3,2,1,6,8,5,7] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[4,3,2,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,8,2,1,5,4,7] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,8,3,2,1,5,4,6] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,3,2,1,5,6,4] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,3,8,2,1,5,7,4] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,3,2,8,1,6,7,4] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[5,4,2,7,8,1,6,3] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,3,2,7,1,8,6,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,2,7,1,6,8,4] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,2,7,1,6,4,8] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,2,1,5,4,8] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,2,1,5,8,4] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,7,2,8,1,5,3] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[6,5,7,8,2,1,4,3] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,5,8,7,2,1,3,4] => [1,3,4,2,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,3,7,2,1,4,5,8] => [1,4,5,8,2,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,3,2,7,1,4,8,6] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[7,8,3,2,1,6,4,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,3,8,2,1,7,4,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,7,5,6,8] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,2,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,3,2,8,1,4,7,6] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,3,8,2,1,4,7,5] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[6,3,8,2,1,4,5,7] => [1,4,5,7,2,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,1,5,8,6,7] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,1,8,4,7,2,5,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,6,8,4,7,2,5,3] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,6,8,3,2,7,5,4] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,8,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,1,3,2,6,5,4] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[7,8,3,4,6,5,1,2] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[7,8,2,4,6,1,5,3] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,8,2,3,1,6,5,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,2,1,3,6,5,4] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[1,5,2,8,3,7,6,4] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,1,2,8,3,7,6,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,2,8,1,3,7,5,4] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,8,3,1,7,5,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,2,8,4,7,1,5,3] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[6,3,8,4,7,5,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,6,8,4,7,5,1,2] => [1,2,3,6,8,4,7,5] => {{1},{2},{3},{4,6},{5,8},{7}} => {{1},{2},{3},{4,8},{5,6},{7}}
[2,6,8,4,7,1,5,3] => [1,5,2,6,8,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,8,1,3,7,5,4] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[2,5,1,8,3,7,6,4] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,5,8,3,7,6,4] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[2,4,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,8,1,7,6,4] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,5,4,8,7,1,6,3] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[3,5,4,8,7,6,1,2] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[5,3,4,8,7,6,1,2] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,2,4,8,7,1,6,3] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[5,2,3,8,1,7,6,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,3,8,7,6,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,8,7,6,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,3,8,7,6,5] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[4,1,3,2,8,7,6,5] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,3,1,2,8,7,6,5] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,8,1,2,7,5,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,3,1,8,2,7,6,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,3,8,2,7,6,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[1,5,4,8,7,2,6,3] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[5,1,4,8,7,2,6,3] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,4,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,4,8,1,7,2,5,3] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,8,7,3,4,1,2] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[4,5,1,8,7,2,6,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,1,5,8,7,2,6,3] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,5,8,7,2,6,3] => [1,4,5,8,2,6,3,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,3,5,8,2,7,6,4] => [1,3,5,8,2,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,1,5,8,2,7,6,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,6,8,1,2,7,5,4] => [1,2,7,3,6,8,4,5] => {{1},{2},{3,4,7},{5,6,8}} => {{1},{2},{3,4,6,7},{5,8}}
[3,6,8,2,1,7,5,4] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[4,6,8,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[4,6,8,3,7,5,1,2] => [1,2,3,7,4,6,8,5] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,5,3,8,7,6,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,5,2,8,7,1,6,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,8,1,7,6,4] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,2,8,7,6,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,2,4,8,7,6,5] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,2,5,8,1,7,6,4] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,5,8,7,1,6,3] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[4,3,5,8,7,6,1,2] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,4,5,8,7,6,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[2,4,5,8,7,1,6,3] => [1,6,2,4,5,8,3,7] => {{1},{2,3,6,7,8},{4},{5}} => {{1},{2,3,6,7,8},{4},{5}}
[2,3,5,8,1,7,6,4] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[5,1,3,2,6,4,8,7] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,1,3,2,5,4,8,7] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[7,1,3,2,5,4,8,6] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[8,1,3,2,5,4,7,6] => [1,3,2,5,4,7,6,8] => {{1},{2,3},{4,5},{6,7},{8}} => {{1},{2,3},{4,5},{6,7},{8}}
[8,1,4,2,5,3,7,6] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[7,1,4,2,5,3,8,6] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[6,1,4,2,5,3,8,7] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[5,1,4,2,6,3,8,7] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,2,5,4,8,7] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,1,6,2,5,3,8,7] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,5,1,4,3,8,7] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[5,2,6,1,4,3,8,7] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,7,1,4,3,8,6] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,2,8,1,4,3,7,6] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,8,1,4,3,7,5] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,7,1,4,3,8,5] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,2,6,1,4,3,8,5] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,5,1,4,3,8,6] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[4,1,7,2,5,3,8,6] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,1,7,2,5,4,8,6] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,3,5,4,8,6] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,1,8,2,5,4,7,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,8,2,5,3,7,6] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,5,1,4,3,7,6] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[8,2,6,1,4,3,7,5] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,1,4,3,8,2,6,5] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,4,3,7,2,6,5] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,5,3,7,2,6,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,1,5,3,8,2,6,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,2,6,1,5,3,7,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,1,8,2,6,3,7,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,1,8,2,6,3,7,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,1,8,2,6,4,7,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[2,1,8,3,6,4,7,5] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,7,3,6,4,8,5] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,7,2,6,3,8,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,6,1,5,3,8,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,2,7,1,5,3,8,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,2,8,1,5,3,7,4] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,1,5,2,6,3,7,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,1,5,2,7,3,8,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,1,4,2,7,3,8,5] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,1,4,2,6,3,7,5] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,3,2,6,4,7,5] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[7,1,3,2,6,4,8,5] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,1,3,2,7,4,8,5] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,1,3,2,7,4,8,6] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[2,1,4,3,8,5,7,6] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[3,1,4,2,8,5,7,6] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,3,2,8,5,7,6] => [1,3,2,8,4,5,7,6] => {{1},{2,3},{4,5,6,8},{7}} => {{1},{2,3},{4,5,6,8},{7}}
[5,1,3,2,8,4,7,6] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,1,3,2,8,4,7,5] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,4,7,1,3,2,6,5] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[7,4,8,1,3,2,6,5] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,3,8,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,7,1,4,2,6,5] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,1,4,2,8,3,7,5] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,4,2,8,3,7,6] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,2,8,3,7,6] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,1,5,2,8,4,7,6] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[2,1,5,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,6,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,2,8,3,7,4] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,5,2,8,3,7,4] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,7,1,5,2,6,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,3,8,1,5,2,6,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,2,7,3,8,1,5,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,2,8,3,7,1,5,4] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,7,2,6,1,5,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,1,8,3,7,2,6,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,1,8,3,7,2,6,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,1,8,4,7,2,6,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[2,1,8,4,7,3,6,5] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,7,4,8,3,6,5] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,7,4,8,2,6,5] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,1,7,3,8,2,6,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,3,8,2,6,4] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,8,2,6,1,5,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,2,6,3,7,1,5,4] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,2,6,3,8,1,5,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,3,6,2,8,1,4,7] => [1,4,7,2,8,3,6,5] => {{1},{2,4},{3,6,7},{5,8}} => {{1},{2,7},{3,4},{5,6,8}}
[5,3,6,2,4,8,1,7] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[5,7,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,7,3,8,2,4,6,1] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,4,2,5,8,3,1,6] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[4,5,2,6,3,8,1,7] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[4,5,1,6,3,8,2,7] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,5,6,3,2,8,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,4,5,3,8,2,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[7,4,5,3,8,2,6,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,7,4,8,3,2,5,1] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[6,7,4,8,3,2,1,5] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[6,7,4,1,8,3,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,7,1,5,8,3,2,6] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,8,1,4,6,2] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[4,5,1,7,8,3,6,2] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[7,4,1,5,8,3,6,2] => [1,5,8,2,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,7,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,4,8,3,1,5,2] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[6,7,4,8,3,5,2,1] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[5,6,7,3,8,4,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,7,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,7,3,8,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,7,3,8,4,2] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,8,4,5,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,7,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,4,8,3,2,5] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,7,3,2,8,4] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[5,6,1,7,3,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,6,7,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,3,2,8,4,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,2,7,3,8,4,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,8,2,1,3,4,6] => [1,3,4,6,2,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,7,3,1,8,2,4,6] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,7,1,5,2,8,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[7,4,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,7,4,2,1,8,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,7,4,2,8,3,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,7,4,2,8,3,5,1] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,6,7,2,8,4,5,1] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,7,3,8,2,1,4,6] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,4,7,8,2,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,4,7,8,2,6,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[5,7,3,8,2,6,1,4] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,7,8,5,2,1,4] => [1,4,2,3,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,6,7,8,5,2,4,1] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[6,4,7,8,2,5,3,1] => [1,2,5,3,4,7,8,6] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[6,4,7,8,2,1,5,3] => [1,5,2,3,4,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[5,3,7,8,1,6,2,4] => [1,6,2,4,3,7,8,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,7,2,8,5,1,3,4] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,4,1,7,8,2,5,3] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[5,1,6,2,7,8,4,3] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,6,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,7,8,4,3,1] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,6,7,2,8,4,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,7,2,1,8,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,7,2,8,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,1,6,7,2,8,4,3] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,4,7,1,8,2,5,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,8,5,2,4,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[6,7,8,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[4,6,7,8,1,5,3,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[5,1,6,7,8,4,3,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,7,8,4,3,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,7,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,3,4,2,5,7] => [1,3,4,2,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[8,3,2,5,1,6,4,7] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,3,6,2,4,1,7] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[5,3,2,7,4,1,8,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,3,8,2,4,6,1] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,2,4,5,8,3,6,1] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,2,4,5,6,3,1,7] => [1,7,2,4,5,6,3,8] => {{1},{2,3,7},{4},{5},{6},{8}} => {{1},{2,3,7},{4},{5},{6},{8}}
[8,2,4,5,6,1,3,7] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,6,2,1,4,3,7] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[8,5,3,6,4,1,2,7] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,1,4,5,6,3,2,7] => [1,4,5,6,2,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,5,8,3,2,6,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[4,3,6,7,2,8,5,1] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,3,7,1,8,2,6] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,1,5,3,7,2,8,6] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,5,8,2,1,4,6,3] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[7,5,3,8,4,1,6,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[4,3,6,7,8,1,5,2] => [1,5,2,3,6,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,7,8,3,5,2,1] => [1,2,3,5,4,7,8,6] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[3,5,6,7,8,4,1,2] => [1,2,3,5,6,7,8,4] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,1,5,6,7,8,4,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,7,1,4,8,5,2] => [1,4,8,2,3,6,7,5] => {{1},{2,4},{3,5,8},{6},{7}} => {{1},{2,5,8},{3,4},{6},{7}}
[6,2,4,1,7,8,5,3] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[4,3,6,7,8,1,2,5] => [1,2,5,3,6,7,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,5,3,6,7,8,2,4] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[3,5,6,7,8,2,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,2,7,1,3,8,4,6] => [1,3,8,2,7,4,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,1,7,8,2,4,6] => [1,7,8,2,4,6,3,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,5,2,7,8,1,3,6] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,7,8,3,1,5] => [1,5,2,6,7,8,3,4] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,2,6,7,8,3,5,1] => [1,2,6,7,8,3,5,4] => {{1},{2},{3,6},{4,5,7,8}} => {{1},{2},{3,5,6},{4,7,8}}
[3,6,2,7,4,8,5,1] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,6,2,7,4,8,1,5] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[3,2,1,6,4,7,8,5] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,4,2,1,5,8,6] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,3,4,2,5,8,6] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,2,1,3,5,8,6] => [1,3,5,8,2,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[7,8,4,2,1,3,6,5] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,3,4,2,1,6,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,3,2,7,1,8,5,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,2,7,1,8,5,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[6,7,3,8,2,5,4,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,7,8,5,2,3,1] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[2,6,4,7,8,1,5,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[4,6,2,7,8,1,5,3] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,4,5,8,6,2,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[7,4,1,5,8,6,2,3] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,3,8,6,1,2,4] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[7,5,8,2,1,6,3,4] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,3,1,7,8,2,5,4] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[5,2,6,7,8,4,1,3] => [1,3,2,6,7,8,4,5] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[2,5,6,7,8,4,1,3] => [1,3,2,5,6,7,8,4] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,5,2,6,7,8,4,3] => [1,5,2,6,7,8,3,4] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,6,4,7,8,5,2,3] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,7,1,3,8,5,4] => [1,3,8,2,6,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,8,2,1,5,4,3] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,3,8,5,1,4,2] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,4,7,8,5,3,1,2] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[6,4,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,3,6,5,1,2,7] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[1,5,6,3,4,8,7,2] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,6,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,2,6,7,4,5,1,8] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,2,6,5,3,1,8] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[1,7,5,4,8,3,6,2] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,5,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[6,8,5,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,6,2,4,1,3,7] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,2,6,5,1,3,7] => [1,3,7,2,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,6,5,1,4,7] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[4,1,2,6,5,8,7,3] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[5,1,6,2,4,8,7,3] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[6,1,5,4,2,8,7,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,1,5,4,8,2,6,3] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[8,1,5,4,7,6,2,3] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[1,8,6,7,4,5,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,6,7,4,5,2,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[7,1,6,8,4,2,5,3] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,1,7,8,2,4,5,3] => [1,7,8,2,4,5,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,7,8,5,6,3] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[3,2,1,7,8,5,6,4] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,7,1,5,4,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,8,2,7,1,5,3,6] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[5,8,7,2,1,4,3,6] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[6,8,7,1,2,4,3,5] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[7,8,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[1,6,7,8,3,4,5,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,7,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,6,8,1,3,2,4,5] => [1,3,2,4,5,6,8,7] => {{1},{2,3},{4},{5},{6},{7,8}} => {{1},{2,3},{4},{5},{6},{7,8}}
[5,7,8,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,2,8,1,3,5,6] => [1,3,5,6,2,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,6,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,8,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[6,5,8,3,2,1,4,7] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,5,8,3,1,2,4,6] => [1,2,4,6,3,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[8,5,7,3,1,4,2,6] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,5,7,3,8,4,6,2] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,4,3,7,8,5,6,2] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[8,4,3,7,1,5,2,6] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,4,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,5,2,3,8,1,6,7] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,4,3,1,8,2,6,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,4,3,1,7,6,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,5,8,3,7,6,4,2] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,1,3,7,6,2,4] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,5,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,6,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,6,2,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,2,6,1,4,8,7,5] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,2,7,1,8,4,6,5] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,7,2,1,8,3,6,5] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,7,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,7,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,6,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[1,6,8,7,3,5,4,2] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,8,6,5,3,4,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,8,1,6,5,2,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,1,7,2,5,3,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,1,2,7,6,3,4] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,2,1,7,6,3,5] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,2,8,1,7,6,4,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,1,2,8,7,6,5,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,8,2,7,6,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,8,7,2,5,4,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,6,5,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,7,6,5,4,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,2,6,5,8,7,4] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[3,1,6,2,4,8,7,5] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[3,1,5,2,4,8,7,6] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,5,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,6,1,2,3,8,7,5] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[1,6,5,3,4,8,7,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,5,2,4,8,7,3] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,5,1,2,3,8,7,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,1,2,3,8,7,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,1,2,3,8,7,6] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,1,2,7,3,6,8] => [1,2,7,3,6,8,4,5] => {{1},{2},{3,4,7},{5,6,8}} => {{1},{2},{3,4,6,7},{5,8}}
[6,4,1,7,2,3,5,8] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[6,4,1,8,2,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,4,1,2,8,3,6,5] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,1,2,8,3,6,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,1,5,2,8,4,6,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,1,5,2,7,4,6,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,5,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,4,1,2,7,3,6,5] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[7,4,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,8,6,7,3,4,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,6,8,3,4,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,6,1,8,2,3,5,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,7,1,2,8,3,6,5] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,1,2,7,8,5,6,4] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[1,4,3,8,7,5,6,2] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[4,1,2,8,7,5,6,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,1,2,8,7,5,6,4] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,1,8,2,7,4,6,5] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,1,7,6,2,4,5,8] => [1,7,2,4,5,8,3,6] => {{1},{2,3,7},{4},{5},{6,8}} => {{1},{2,3,8},{4},{5},{6,7}}
[4,7,1,6,2,3,5,8] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,8,1,2,7,3,6,5] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,8,1,2,7,3,6,4] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,1,8,2,7,4,6,3] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[1,5,8,3,7,4,6,2] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,8,7,3,4,5,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,8,7,1,2,3,4,5] => [1,2,3,4,5,6,8,7] => {{1},{2},{3},{4},{5},{6},{7,8}} => {{1},{2},{3},{4},{5},{6},{7,8}}
[5,8,7,1,2,3,4,6] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[5,8,6,1,2,3,4,7] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,7,6,1,2,3,4,8] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[1,7,8,6,3,4,5,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,7,6,2,4,5,3] => [1,7,2,4,5,3,6,8] => {{1},{2,3,6,7},{4},{5},{8}} => {{1},{2,3,6,7},{4},{5},{8}}
[3,2,5,1,6,4,8,7] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[3,2,5,4,7,1,8,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,5,3,7,6,8,1] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,2,5,3,7,1,8,6] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,5,3,6,1,8,7] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,2,5,1,6,3,8,7] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,5,4,6,2,8,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,1,5,3,6,2,8,7] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[4,3,5,1,6,2,8,7] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,3,5,2,7,1,8,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,3,6,2,7,5,8,1] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,3,6,2,7,1,8,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[4,3,6,1,7,2,8,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,3,5,1,7,2,8,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,5,4,7,2,8,6] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[2,1,5,4,7,3,8,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,1,5,4,7,6,8,2] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[4,1,5,3,7,6,8,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,6,1,7,5,8,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,6,5,7,1,8,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,6,4,7,2,8,1] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,3,6,4,7,1,8,2] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,3,6,1,7,4,8,2] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,3,7,4,8,2] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[4,1,6,3,7,5,8,2] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[3,1,6,4,7,5,8,2] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,6,4,7,5,8,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,1,6,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,3,7,2,8,4] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,6,1,7,2,8,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,3,6,2,7,1,8,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[5,3,6,2,7,4,8,1] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,2,6,3,7,4,8,1] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,2,6,3,7,1,8,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,2,6,1,7,3,8,4] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,5,1,7,3,8,6] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,2,6,1,7,3,8,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,3,7,1,8,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,2,6,4,7,5,8,1] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,2,6,4,7,1,8,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[3,2,6,1,7,4,8,5] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,2,5,1,7,4,8,6] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,4,1,7,5,8,6] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,1,4,2,7,6,8,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,5,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,6,1,7,5,8,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[3,2,6,5,7,1,8,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,2,6,5,7,3,8,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,2,6,5,7,1,8,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,2,6,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[4,2,5,1,7,6,8,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,1,5,2,7,6,8,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[3,1,5,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,1,5,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,6,3,7,5,8,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[3,1,6,2,7,5,8,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,1,6,2,7,5,8,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,6,2,7,4,8,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,6,1,7,4,8,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,2,6,4,7,1,8,3] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[5,4,6,2,7,3,8,1] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[5,4,6,2,7,1,8,3] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,1,6,5,7,2,8,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,5,7,2,8,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,5,7,3,8,4] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,1,6,5,7,4,8,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,5,7,3,8,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,6,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,7,5,2,4,1,8,6] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,2,4,5,7,3,6,1] => [1,2,4,5,7,3,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,2,4,6,5,3,1,7] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,6,3,5,1,4,2,7] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,1,4,5,3,2,7] => [1,4,5,2,7,3,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[5,7,4,3,2,1,8,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,7,6,3,2,8,1,5] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[1,4,6,7,3,2,8,5] => [1,4,6,7,2,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,7,3,1,8,2,6] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[1,7,4,5,3,2,8,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,7,5,1,4,2,8,6] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,4,2,1,3,8,6] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,5,7,4,2,1,6,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,4,1,7,5,3,6,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,3,8,7,1,5,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,4,8,6,3,5,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,4,7,6,3,5,2,1] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[3,1,5,8,6,7,4,2] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,6,7,3,5,2] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,6,4,1,8,7,5,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,6,1,4,7,5,3] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[2,7,6,8,1,4,3,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,1,6,4,8,2,5] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,3,5,6,8,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,7,6,5,8,2,1,4] => [1,4,2,3,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,6,8,5,7,2,4,1] => [1,2,4,3,6,8,5,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[2,3,5,7,6,8,1,4] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[2,1,6,5,7,8,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,2,7,6,8,3,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[4,2,6,8,7,3,5,1] => [1,2,6,8,3,5,4,7] => {{1},{2},{3,5,6},{4,7,8}} => {{1},{2},{3,6},{4,5,7,8}}
[3,7,2,6,4,8,1,5] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[4,7,3,2,1,5,8,6] => [1,5,8,2,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,7,6,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,5,7,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,3,6,7,2,1,5,4] => [1,5,2,3,6,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,8,6,2,1,5,4] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,7,4,8,1,6,5,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,8,2,1,7,5,3] => [1,7,2,3,4,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[8,5,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,5,7,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,2,6,7,1,3,5,4] => [1,3,5,2,6,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,6,1,7,5,2,4] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[4,6,1,8,7,2,5,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,6,5,7,4,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[2,1,7,8,5,6,4,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,8,5,4,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[1,7,2,5,8,6,4,3] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,4,8,2,6,5,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,7,8,1,6,5,2,4] => [1,6,2,4,3,7,8,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,7,8,6,1,3,5,4] => [1,3,5,2,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,7,6,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,1,5,6,4,3,2] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,1,6,7,5,4,3,2] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[6,5,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,8,1,4,5,7,3,2] => [1,4,5,7,2,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,2,4,5,1,3,6] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,6,1,4,5,3,8,7] => [1,4,5,2,6,3,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[6,1,2,4,5,3,8,7] => [1,2,4,5,3,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[5,6,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,4,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,1,6,4,5,2,8,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,4,2,6,3,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[2,8,7,4,1,6,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[8,1,7,4,2,6,3,5] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,8,4,5,1,2,6] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,1,8,7,5,3,4,6] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,1,6,8,5,7,3,4] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[5,6,3,8,1,7,2,4] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[3,7,6,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,5,7,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,1,8,4,7,6,2,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,8,3,5,6,7,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,8,3,5,6,7,2] => [1,8,2,3,5,6,7,4] => {{1},{2,3,4,8},{5},{6},{7}} => {{1},{2,3,4,8},{5},{6},{7}}
[3,8,4,2,5,6,7,1] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,1,3,5,6,7,2] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,3,8,4,1,7,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,5,8,4,6,7,3] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,8,3,6,7,5] => [1,4,8,2,3,6,7,5] => {{1},{2,4},{3,5,8},{6},{7}} => {{1},{2,5,8},{3,4},{6},{7}}
[6,4,3,8,2,1,7,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,8,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,1,8,2,5,6,7,4] => [1,8,2,5,6,7,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[4,3,8,2,5,6,7,1] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,2,3,5,6,7,1] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[3,8,2,1,5,6,7,4] => [1,5,6,7,2,3,8,4] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[8,1,2,3,5,6,7,4] => [1,2,3,5,6,7,4,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[7,8,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,8,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,1,8,3,4,6,7,5] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[2,1,7,8,5,4,3,6] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[5,7,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,4,5,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,7,8,4,5,3,1,6] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[8,7,1,4,3,6,2,5] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[3,8,7,4,2,6,1,5] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,7,8,4,3,6,2,1] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[5,6,3,8,4,2,7,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,3,6,2,1,7,5] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,3,1,4,2,7,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,5,3,8,2,4,1,6] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,1,3,2,6,8,7,5] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[7,5,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,8,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[4,5,3,8,6,2,7,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,8,4,7,6,2,1] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,8,2,4,7,6,1,3] => [1,3,2,4,7,5,8,6] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[8,7,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,1,6,4,5,8,2,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,7,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[2,1,7,6,5,8,3,4] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,5,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[8,1,4,2,5,6,7,3] => [1,4,2,5,6,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,8,4,1,5,6,7,3] => [1,5,6,7,2,8,3,4] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,4,8,1,5,6,7,2] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[3,4,2,8,5,6,7,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,1,8,5,6,7,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,1,2,8,5,6,7,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,2,1,5,6,7,3] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[7,5,2,4,8,6,1,3] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[6,5,3,2,8,1,7,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,1,5,3,8,6,7,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,5,8,1,7,2] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[7,3,5,4,8,6,1,2] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[8,3,4,1,5,6,7,2] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[4,3,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,8,5,6,7,2] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,5,3,7,2,8,4,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,3,7,4,5,8,2,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,7,2,4,5,8,3,1] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,7,4,8,6,3,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,5,7,4,8,6,3,1] => [1,2,5,7,3,4,8,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[3,8,7,4,5,2,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,7,5,4,8,6,2,1] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[5,7,1,4,8,6,2,3] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[5,6,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,3,5,8,2,7,1] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[4,6,3,8,1,2,7,5] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[3,2,5,1,6,8,4,7] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,6,2,5,4,8,1,7] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[3,5,8,2,4,7,6,1] => [1,2,4,7,3,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,2,5,8,3,7,6,1] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[4,2,6,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,1,4,8,2,7] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[4,6,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,1,6,4,3,8,2,7] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[5,4,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,3,8,2,7,6,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,3,6,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,3,1,7,2,8,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,5,4,3,1,8,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,4,7,5,8,3,2,6] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[7,2,5,8,4,1,3,6] => [1,3,6,2,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,8,5,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[3,5,8,7,1,4,6,2] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[1,5,4,8,7,3,6,2] => [1,5,2,3,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,4,3,8,1,7,5,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,3,7,6,5,2,1] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[5,3,8,7,6,4,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,5,3,1,8,6,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,6,3,7,4,2] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,1,8,7,3,5,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,2,8,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,6,2,8,4,1,3,5] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,1,6,8,4,2,5] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,7,6,4,8,3,2,5] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,1,6,3,2,8,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,6,5,3,2,1,8,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,2,8,7,4,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,2,6,3,8,7,4,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,2,7,6,3,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,1,7,3,8,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,7,4,1,8,3,6] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[4,7,2,6,3,1,8,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[3,8,6,2,4,7,5,1] => [1,2,4,7,3,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[7,3,6,2,4,1,8,5] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[3,6,7,2,1,4,8,5] => [1,4,8,2,3,6,7,5] => {{1},{2,4},{3,5,8},{6},{7}} => {{1},{2,5,8},{3,4},{6},{7}}
[4,3,7,8,2,1,5,6] => [1,5,6,2,3,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,2,5,7,1,6,4] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[8,3,6,2,7,1,5,4] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[7,8,3,6,2,1,5,4] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,8,2,1,6,5,3] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,8,2,7,1,6,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,3,7,1,6,2,4] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[5,8,7,2,6,1,3,4] => [1,3,4,2,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[5,1,6,8,2,7,4,3] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,2,7,1,8,6,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,2,7,6,4,3,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,8,7,5,4,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,2,8,5,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,5,1,8,2,6,4,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,7,1,8,6,2,5,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,8,3,1,6,5,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[8,7,4,6,1,5,3,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,5,7,1,6,4,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,1,7,5,4,3,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,1,8,6,5,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,7,3,5,1,8] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,4,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,7,6,4,5,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,2,6,3,5,1,8] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,6,2,3,4,1,8] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,8,5,2,3,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[5,8,6,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,2,8,6,4,1,5,7] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,6,4,8,5,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,5,2,8,3,4,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,8,5,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[1,8,6,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,6,7,2,3,4,5] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[7,1,6,8,2,3,4,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[3,2,1,7,8,4,5,6] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,2,1,3,4,6] => [1,3,4,6,2,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[1,7,6,8,2,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,8,2,3,1,4,7] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[8,5,7,2,1,3,4,6] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,4,2,8,3,1,5,7] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,2,3,8,1,6,7] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,2,3,1,8,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,4,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[1,4,2,8,7,3,5,6] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,2,7,3,4,6] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[7,5,1,2,8,3,4,6] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[6,5,1,2,3,8,4,7] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,6,2,1,3,8,5,7] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,2,6,1,4,8,5,7] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,2,7,1,8,4,5,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,2,1,8,3,5,6] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[7,6,1,8,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,8,7,2,3,4,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[1,7,8,6,2,3,4,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,1,6,2,3,4,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,1,7,2,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,8,1,7,4,5,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,2,1,8,7,4,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,8,2,7,3,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[6,1,8,7,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,7,6,2,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,7,6,2,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,3,5,6,1,2,8,7] => [1,2,8,3,5,6,4,7] => {{1},{2},{3,4,7,8},{5},{6}} => {{1},{2},{3,4,7,8},{5},{6}}
[6,5,2,7,1,8,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[2,6,1,5,4,3,8,7] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,4,3,5,1,2,8,7] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[5,3,1,4,6,2,8,7] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[3,1,4,6,5,2,8,7] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[5,7,4,6,2,8,3,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[8,1,4,7,2,6,3,5] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[3,4,7,8,5,2,1,6] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,5,7,3,4,6] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,8,6,5,7,1,2] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[7,5,4,8,1,6,3,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,4,6,8,2,7,3] => [1,4,6,8,2,7,3,5] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[2,5,4,6,7,1,8,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,3,8,5,7,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,7,4,2,8,6,5,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[7,4,1,3,5,8,6,2] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,5,8,4,1,7,3,2] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,3,7,4,1,6,2] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[7,4,3,8,2,1,6,5] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[6,3,7,4,1,8,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,1,6,7,5,4] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,7,2,6,8,5,1] => [1,2,6,8,3,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,7,2,3,8,5,6,1] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,8,2,1,7,5,6,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,5,4,3,1,6] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[8,7,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,8,6,7,2,4,1,5] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[5,3,8,7,4,2,6,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,3,8,7,2,1,6,5] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,3,6,1,4,2,7,5] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,3,4,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,3,2,6,7,8,5] => [1,3,2,6,7,8,4,5] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,3,5,6,2,7,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,3,6,1,8,7,2,4] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[5,6,2,8,7,4,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,8,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[2,8,6,5,4,7,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,1,6,4,5,7,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,8,3,6,1,7,2,4] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[2,1,8,6,5,7,3,4] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,7,5,3,6,8,4] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[6,7,3,5,2,1,8,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,1,4,2,5,6,8,3] => [1,4,2,5,6,8,3,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,4,1,6,5,8,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[4,1,2,5,8,6,7,3] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[6,4,2,1,5,8,7,3] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,2,4,6,1,7,3] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,5,3,2,6,8,1,4] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,5,3,6,8,7,4] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,4,6,1,8,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,3,4,1,5,7,8,2] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,1,4,5,6,8,7,2] => [1,4,5,6,8,2,3,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[4,5,2,6,3,1,8,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,5,2,1,4,3,8,7] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,5,2,7,4,8,3,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[8,5,2,7,4,1,6,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,7,5,2,1,6,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[6,3,7,5,2,8,4,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[3,1,6,5,4,2,8,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,6,1,3,5,4,8,7] => [1,3,5,2,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,7,2,3,4,8,5,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[8,7,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,6,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,6,3,7,4,8,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[2,1,6,7,4,8,5,3] => [1,6,7,2,3,4,8,5] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,1,8,7,4,3,6,5] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,7,4,1,2,6,5] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,8,7,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,8,6,3,1,5,7,4] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,6,3,2,5,4,7] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,8,4,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,2,7,6,3,5] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,8,4,2,5,7,1,6] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[2,1,5,3,8,7,6,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,2,8,7,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,2,4,8,1,6,3] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[3,4,2,8,5,7,6,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[2,4,1,8,7,6,5,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,4,2,1,7,5,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,1,8,6,7,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,8,6,5,7,2] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[7,1,6,5,4,8,2,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,5,6,8,4,2,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,7,1,6,8,2,4,3] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,2,5,1,7,4,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,2,1,8,7,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,5,8,3,7,1] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[7,5,2,6,3,8,1,4] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,6,8,7,5] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[2,4,3,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,5,2,8,3,4,6,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,6,2,8,4,3,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,7,2,8,1,5,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[8,7,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,6,8,7,1,5,4,2] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,8,6,3,4,1,2] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,1,8,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,4,5,3,6,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,7,3,8,1,4,6,2] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,1,5,8,4,6,3,7] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,8,4,1,2,7] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,8,3,5,6,1,7] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,1,8,3,6,5,2,7] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[3,4,8,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,1,3,7,2,6,5] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,8,2,5,1,7,6] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,4,3,8,2,5,1,6] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,8,3,5,7,6] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[6,8,2,4,3,5,1,7] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[4,8,2,3,5,1,6,7] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,8,2,1,4,6,5,7] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,8,4,1,6,5,3,7] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,4,1,6,5,7,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,7,6,1,4,3,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,6,7,4,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,8,6,1,4,2,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[3,5,7,6,1,4,2,8] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,5,7,2,4,1,6,8] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,3,4,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,8,5,3,4,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,8,7,6,1,4,5,3] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,8,5,3,6,1,7,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,5,6,7,4,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[2,8,5,3,4,6,7,1] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[3,5,7,2,4,6,1,8] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,5,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[6,5,2,8,3,1,7,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,5,2,8,3,1,4,7] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,5,8,2,4,6,3,1] => [1,2,4,6,3,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[7,5,8,6,1,4,3,2] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,5,8,2,1,3,7,4] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,2,1,8,7,4] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[3,5,7,6,1,4,8,2] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[3,5,7,2,4,6,8,1] => [1,2,4,6,8,3,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,5,2,7,3,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,3,7,6,8,5] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,5,2,7,3,4,8,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[5,1,6,7,4,3,8,2] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,2,6,4,8,7,3] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,6,8,7,3,4,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,5,2,8,3,7,4,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,1,2,3,8,7,5,6] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,8,6,5,7] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[4,1,2,3,8,6,7,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,6,5,8] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,8,5,7,6] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[7,1,6,8,4,3,5,2] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,8,4,5,7,3] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,6,8,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,8,2,4,3,1,7] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,5,8,2,4,3,7,1] => [1,2,4,3,7,5,8,6] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[7,5,2,8,3,4,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,7,4,3,2,8] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[5,1,6,8,7,3,2,4] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,6,8,4,3,2,5] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[5,7,8,6,3,4,2,1] => [1,2,3,4,5,7,8,6] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,1,8,3,6,5,7,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,8,3,6,2,7,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[3,1,4,8,6,2,7,5] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[3,1,4,8,6,5,2,7] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[4,1,6,7,8,3,2,5] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[4,1,6,5,7,3,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,6,3,7,1,8] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,5,2,7,3,8,1,6] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,5,6,2,4,8,7,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,6,2,4,8,1,7] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,7,5,6,8,4,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[3,6,5,2,8,1,7,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,1,6,5,8,3,4,2] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,5,2,6,3,8,4,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,1,2,3,5,8,7,6] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,1,2,3,7,8,6,5] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,5,2,7,3,8,6,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,2,6,8,5,7,3] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,2,5,6,8,7,3] => [1,2,5,6,8,3,4,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,2,6,3,7,8,1] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,8,5,6,1,4,3,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,8,4,2,1,5,3,6] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,2,1,6,5,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,4,8,1,5,7,3,6] => [1,5,7,2,4,8,3,6] => {{1},{2,4,5},{3,7},{6,8}} => {{1},{2,5},{3,4,8},{6,7}}
[6,3,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[7,8,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,4,1,2,3,6,5] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,3,6,5,4,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,2,1,5,3,4,6] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,2,5,6,4,1,3] => [1,3,2,5,6,4,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[7,8,1,6,5,4,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,2,1,7,5,4,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,5,4,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,8,2,6,4,7,5] => [1,3,8,2,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,3,7,1,6,4,8,2] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,3,6,2,7,4,1,8] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[6,1,2,5,8,7,4,3] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[6,3,1,8,4,2,7,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,1,5,3,8,7] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,7,5,8,1,2] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,3,8,7,5,6,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,3,7,6,4,2,8,5] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,5,6,8,4,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,2,8,6,4,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,8,1,7,6,4,5,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,7,3,6,4,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,5,8,3,6,1,4] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,5,6,8,2,4,7,3] => [1,5,6,8,2,4,7,3] => {{1},{2,5},{3,4,6,8},{7}} => {{1},{2,4,5},{3,6,8},{7}}
[2,6,8,5,3,1,4,7] => [1,4,7,2,6,8,3,5] => {{1},{2,4},{3,7},{5,6,8}} => {{1},{2,6,7},{3,4},{5,8}}
[2,6,1,4,7,3,5,8] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[5,6,7,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,2,8,1,4,7,3,6] => [1,4,7,2,8,3,6,5] => {{1},{2,4},{3,6,7},{5,8}} => {{1},{2,7},{3,4},{5,6,8}}
[4,6,7,5,2,1,3,8] => [1,3,8,2,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[4,5,6,7,2,8,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,5,7,6,1,8,3,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,5,8,6,2,7,3,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[1,6,5,8,3,2,7,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,5,7,1,2,8,3] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[4,7,5,6,3,1,8,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,3,4,2,8,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,1,4,2,3,8,6] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[5,7,6,4,3,8,1,2] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[6,3,4,5,8,7,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,2,4,1,8,3,7,5] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,2,3,5,4,8,1,7] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,1,3,4,5,8,7,2] => [1,3,4,5,8,2,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,4,2,7,6,8,3] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,2,4,7,8,3,5] => [1,6,2,4,7,8,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,7,2,4,1,6,3,8] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,1,4,2,8,5,3,7] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,8,7,6,3,4,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,8,7,6,2,3,1,4] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[4,1,7,2,6,5,3,8] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,6,5,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,7,4,5,6,8,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,2,7,1,6,3,8,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,3,7,5,6,8,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[4,8,6,3,5,7,1,2] => [1,2,3,5,7,4,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,8,1,2,5,3,7,6] => [1,2,5,3,7,4,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,8,6,5,2,4,1,7] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[3,8,5,6,1,4,7,2] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[5,3,7,8,2,1,6,4] => [1,6,2,3,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,8,7,1,6,4,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,8,7,5,2,4,3] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,7,8,5,1,4,2] => [1,4,2,3,6,7,8,5] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,7,6,8,5,2,1,4] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[4,1,8,6,2,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,7,8,6,3,5,1,2] => [1,2,3,5,4,7,8,6] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[3,8,7,6,5,4,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,1,7,6,5,3,4,8] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,8,1,6,4,5,3,7] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,7,5,1,4,3,6] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,6,7,5,1,3,4] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,3,1,2,7,4,8,5] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[7,4,2,5,1,3,8,6] => [1,3,8,2,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,5,3,6,1,8,2,4] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[8,5,3,6,1,7,2,4] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[7,3,6,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,3,7,1,2,5,8,6] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,3,6,7,1,2,8,4] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,7,4,1,2,8,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,7,1,5,2,3,8,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,6,4,2,3,8,1,5] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,4,2,3,7,1,5] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,7,6,3,8,1,2,5] => [1,2,5,3,8,4,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,7,4,2,3,8,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,7,2,6,1,8,3,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,4,7,5,2,8,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,4,8,5,2,6,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,8,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,8,6,1,2,7,4,5] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,8,6,2,4,7,1,5] => [1,5,2,4,7,3,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,8,4,3,7,1,2,5] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,8,5,7,1,2,4,6] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,6,2,7,1,3,5] => [1,3,5,2,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,8,5,6,1,2,4] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[6,3,7,5,8,1,2,4] => [1,2,4,3,7,5,8,6] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[2,7,6,4,8,1,3,5] => [1,3,5,2,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,6,7,2,8,1,3] => [1,3,2,8,4,6,7,5] => {{1},{2,3},{4,5,8},{6},{7}} => {{1},{2,3},{4,5,8},{6},{7}}
[4,6,3,7,1,8,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,7,1,4,8,2,6] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,3,7,2,4,8,1,6] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[7,4,6,3,8,1,2,5] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,6,3,7,1,2,5] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,4,1,6,7,2,3,5] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,1,6,8,2,3,5] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,1,7,8,2,3,6] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[6,5,3,7,1,8,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,5,1,2,7,8,3,4] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,3,6,4,7,8,1,2] => [1,2,3,6,4,7,8,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,3,7,4,8,5,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[4,7,1,5,8,6,2,3] => [1,5,8,2,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,5,1,2,8,6,3,4] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,4,1,8,6,2,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,6,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,2,8,1,6,3,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,7,8,2,5,1,3] => [1,3,2,5,4,7,8,6] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[3,6,8,2,7,1,4,5] => [1,4,5,2,7,3,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[2,4,8,7,1,3,5,6] => [1,3,5,6,2,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[4,3,8,7,1,2,5,6] => [1,2,5,6,3,8,4,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,3,8,7,1,2,4,6] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,7,6,1,2,3,5] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[5,4,8,7,1,2,3,6] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,5,8,7,1,2,4,6] => [1,2,4,6,3,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[2,5,8,7,1,3,4,6] => [1,3,4,6,2,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,6,8,2,7,1,3,5] => [1,3,5,2,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,5,8,6,4,1,2,3] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[6,8,4,7,5,1,2,3] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[5,8,7,1,6,2,3,4] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,8,7,6,1,3,4,5] => [1,3,4,5,2,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[3,8,7,6,1,2,4,5] => [1,2,4,5,3,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[4,8,7,6,1,2,3,5] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[5,6,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,3,8,2,1,6,4] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,8,7,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,7,8,5,3,6,4] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[5,7,3,8,1,2,6,4] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[2,7,8,4,1,6,5,3] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[7,1,8,4,2,6,5,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,5,1,4,8,6,3,2] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,5,3,1,8,4,7,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,8,1,5,7,2] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,7,1,4,2,6,5,3] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,3,8,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,3,4,5,6,7,8,1,9] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[2,3,5,6,7,8,9,1,4] => [1,4,2,3,5,6,7,8,9] => {{1},{2,3,4},{5},{6},{7},{8},{9}} => {{1},{2,3,4},{5},{6},{7},{8},{9}}
[2,4,5,6,7,8,9,1,3] => [1,3,2,4,5,6,7,8,9] => {{1},{2,3},{4},{5},{6},{7},{8},{9}} => {{1},{2,3},{4},{5},{6},{7},{8},{9}}
[3,4,5,6,7,8,9,1,2] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[2,3,4,5,6,7,8,9,10,1] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[2,3,4,5,6,7,8,9,1,10] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[2,3,4,5,6,7,1,8,9] => [1,8,9,2,3,4,5,6,7] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[2,3,4,5,6,7,8,10,1,9] => [1,9,2,3,4,5,6,7,8,10] => {{1},{2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9},{10}}
[2,3,4,5,6,1,9,7,8] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[2,3,4,5,1,8,9,6,7] => [1,8,9,2,3,4,5,6,7] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[2,3,4,1,7,8,9,5,6] => [1,7,8,9,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[2,1,5,6,7,8,9,3,4] => [1,5,6,7,8,9,2,3,4] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,4,5,6,7,8,9,2,3] => [1,4,5,6,7,8,9,2,3] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[3,4,5,6,7,8,9,10,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[3,6,4,5,7,2,8,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,2,5,1,8,4,7] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,5,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,2,6,3,4,7,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,2,6,3,4,5,8,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[6,2,7,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,6,2,7,4,5,8,1] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,4,7,6,2,3,8,1] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,7,3,5,2,4,8,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,7,6,2,4,5,8,1] => [1,2,4,5,8,3,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[2,7,6,3,4,5,8,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,6,5,2,3,7,1,4] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[8,5,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[7,5,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,6,3,2,8,4,5,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,1,2,8,4,6] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,6,2,3,1,8,4,7] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,5,1,8,3,7] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,4,8,6,2,7,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[6,8,3,5,2,7,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,2,7,3,4,5,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,7,3,4,5,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,8,1,5,7,2,3,6] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[4,1,7,5,8,2,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,3,8,2,4,5,6] => [1,7,2,4,5,6,3,8] => {{1},{2,3,7},{4},{5},{6},{8}} => {{1},{2,3,7},{4},{5},{6},{8}}
[8,1,2,7,3,4,5,6] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,2,5,7,1,8,3,6] => [1,8,2,5,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,2,7,1,8,4,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[6,3,7,1,2,8,4,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[7,2,6,1,8,3,4,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,2,6,1,7,3,4,5] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[7,3,1,5,8,2,4,6] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[3,2,1,5,8,4,6,7] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,1,3,6,8,2,7] => [1,3,6,8,2,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,3,4,6,8,2,7] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,4,6,3,8,7,1,2] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[6,5,3,4,8,7,1,2] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,3,2,8,7,1,4,6] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[5,3,1,8,7,2,4,6] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,7,8,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[6,7,3,8,2,5,1,4] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[4,2,5,8,7,1,3,6] => [1,3,6,2,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,6,2,8,7,1,4,5] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,7,8,1,6,2,4,5] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[7,2,8,6,1,3,4,5] => [1,3,4,5,2,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[2,1,8,7,3,4,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,7,6,1,3,4,5] => [1,3,4,5,2,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[1,2,8,7,3,4,5,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,8,7,2,4,5,6] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,8,3,6,2,4,5] => [1,7,8,2,4,5,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,8,7,2,3,6] => [1,5,8,2,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,4,8,7,6,1,2,3] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,8,6,2,5,1,3,4] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,1,5,3,7,2,4,6] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,5,1,3,6,2,4,8] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,8,3,6,2,4,1] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1},{2},{3,4},{5,6},{7,8}}
[7,4,8,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,1,4,3,2,6,5,7] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,1,4,3,2,7,5,6] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,4,3,2,7,6,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,5,4,6,7,2,3] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,1,5,3,6,2,7,4] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,1,4,3,2,6,7,5] => [1,4,2,6,7,3,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,1,4,3,2,5,7,6] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,4,3,2,5,6,7] => [1,4,2,5,6,7,3,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,4,3,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[7,4,1,3,2,5,8,6] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,4,1,3,2,6,8,5] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[7,5,1,4,6,8,2,3] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[7,5,8,3,6,2,1,4] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[7,4,8,3,2,6,1,5] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[7,4,8,3,2,5,1,6] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,4,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,4,3,7,2,5,8,1] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,4,3,2,8,6,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,4,3,2,8,7,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,8,7,2,1,4] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,5,4,8,7,1,2,3] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,5,4,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,1,7,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,4,3,1,2,7,8,5] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[5,4,3,2,1,8,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,1,8,2,7,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,1,4,8,6,2,3] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,4,1,3,2,8,6,5] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,4,1,3,2,8,5,6] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,4,3,1,2,8,5,7] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[6,4,3,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,3,8,2,7,5,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,3,8,7,2,4,1] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[6,5,3,1,7,2,4,8] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,5,1,3,8,2,4,6] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,6,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,7,2,8,5,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,4,3,7,2,1,5,8] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,8,3,2,1,5,6] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,4,8,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,8,3,1,2,6,4] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[7,5,8,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,5,4,8,1,7,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,5,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,5,3,7,1,2,8,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,5,4,7,1,8,2,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,7,8,2,1,4] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[6,4,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,4,3,2,7,8,1,6] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,6,2,1,3,4,8,7] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,2,7,4,1,3,6] => [1,3,6,2,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[5,3,7,8,2,1,4,6] => [1,4,6,2,3,7,8,5] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,6,1,2,5,8,3,4] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[2,1,7,8,4,3,5,6] => [1,7,8,2,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,1,2,5,4,6,3] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[2,6,8,3,1,4,7,5] => [1,4,7,2,6,8,3,5] => {{1},{2,4},{3,7},{5,6,8}} => {{1},{2,6,7},{3,4},{5,8}}
[5,8,7,4,2,1,6,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,5,1,6,8,3,4,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,5,2,1,8,7,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,8,6,1,2,5,4] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,7,1,8,2,6,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[1,8,2,4,3,5,6,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,7,2,4,3,5,6,8] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[1,6,2,4,3,5,7,8] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[1,5,2,4,3,6,7,8] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[1,6,2,5,3,4,7,8] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,7,2,5,3,4,6,8] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,2,5,3,4,6,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,2,6,3,4,5,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,7,2,6,3,4,5,8] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[1,8,2,7,3,5,4,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,7,2,8,3,5,4,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,8,3,5,4,7] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[1,5,2,8,3,6,4,7] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[1,4,2,8,3,6,5,7] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,3,2,8,4,6,5,7] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[1,2,3,8,4,6,5,7] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[1,2,3,7,4,6,5,8] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[1,3,2,7,4,6,5,8] => [1,3,2,7,4,6,5,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[1,4,2,7,3,6,5,8] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,5,2,7,3,6,4,8] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[1,6,2,7,3,5,4,8] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[1,7,2,6,3,5,4,8] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,2,6,3,5,4,7] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,2,5,3,6,4,7] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,7,2,5,3,6,4,8] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,6,2,5,3,7,4,8] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,5,2,4,3,7,6,8] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[1,6,2,4,3,7,5,8] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[1,7,2,4,3,6,5,8] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[1,8,2,4,3,6,5,7] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[1,8,2,3,4,6,5,7] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,7,2,3,4,6,5,8] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,8,2,3,4,7,5,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,2,4,3,7,5,6] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,7,2,4,3,8,5,6] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[1,6,2,4,3,8,5,7] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,5,2,4,3,8,6,7] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[1,6,2,5,3,8,4,7] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,2,5,3,8,4,6] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,8,2,5,3,7,4,6] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,2,6,3,7,4,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[1,7,2,6,3,8,4,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,8,4,7,5,6] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,3,2,8,4,7,5,6] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,4,2,8,3,7,5,6] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,2,8,3,7,4,6] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,6,2,8,3,7,4,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,2,8,3,6,4,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,8,2,7,3,6,4,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[4,6,3,7,2,5,1,8] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,3,8,5,1,2,7] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[5,6,8,3,4,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,6,8,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,2,7,5,3,1,8] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,6,7,2,4,3,1,8] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,6,8,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,8,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,7,8,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,7,8,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,7,8,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,6,8,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,8,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,2,6,8,5,1,4,7] => [1,4,7,2,6,8,3,5] => {{1},{2,4},{3,7},{5,6,8}} => {{1},{2,6,7},{3,4},{5,8}}
[4,6,2,8,5,1,3,7] => [1,3,7,2,8,4,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[5,6,8,2,4,1,3,7] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,8,4,2,1,3,7] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,8,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[5,7,8,4,1,2,3,6] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[6,7,8,1,5,2,3,4] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,7,8,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,7,8,1,3,5,2,4] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[5,7,8,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,2,8,1,6,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[3,2,7,8,1,6,4,5] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[3,2,7,8,1,6,5,4] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,7,8,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,7,8,1,3,5,4,2] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,5,4,2,3] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,4,3,5,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,3,4,5,2] => [1,3,4,5,2,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[4,7,2,8,1,5,6,3] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[3,2,7,8,1,5,6,4] => [1,5,6,2,7,8,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,8,3,2,1,7,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,8,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,7,8,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[4,7,3,8,1,6,2,5] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,5,2,3,8,1,7,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,4,8,1,7,6] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,2,8,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[4,6,3,8,2,1,5,7] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,7,3,8,1,5,2,6] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,7,3,8,1,2,5,6] => [1,2,5,6,3,8,4,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,7,8,3,1,4,2,6] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,6,8,3,2,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[3,2,7,8,1,5,4,6] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,7,8,1,3,4,2,5] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,4,3,2,5] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,4,2,5,3] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,8,1,2,5,3,4] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[6,7,8,1,2,5,4,3] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[6,7,8,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[5,7,8,2,1,3,6,4] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,2,7,8,1,4,6,5] => [1,4,6,2,7,8,3,5] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,7,8,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[6,7,8,1,2,3,5,4] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[7,2,8,5,1,6,4,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,7,5,2,6,4,8] => [1,3,7,2,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,7,5,4,2,6,8] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[7,2,8,5,4,1,6,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,4,3,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,8,4,5,6,1,7,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,8,6,5,7,3,1,4] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,8,4,5,3,7,1,6] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,8,4,5,6,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,6,3,7,5,2,4,8] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[6,2,3,8,5,1,7,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,8,5,1,4,7] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,4,8,5,2,1,3,6] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,8,5,1,3,7,2] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,3,7,5,1,2,8,6] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[3,6,1,7,5,2,8,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,4,2,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,5,7,1,4,8,2] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[6,5,2,7,4,1,8,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,1,8,6,4,7,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,8,7,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,5,8,2,7,4,1] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[6,5,8,4,2,3,7,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,2,5,8,3,7,1,4] => [1,4,2,5,8,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,6,5,7,3,4,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,2,7,4,6,3,8] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,2,1,8,7,6,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,3,8,4,6,2,5] => [1,3,8,2,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,3,4,8,6,1,7,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,4,8,6,5,1,7] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,7,3,5,8,6,1,4] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,4,6,2,7,3,8] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,2,4,7,1,8,3,6] => [1,8,2,4,7,3,6,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,3,6,4,1,8,7,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,6,8,4,2,1] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,3,5,1,8,2,7,4] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,6,1,5,8,4,7,3] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,5,8,3,4,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,7,1,6,3,8,4,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,2,4,1,7,8,5,6] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,1,4,2,7,8,6,5] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,4,7,2,8,6,3] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,1,4,6,8,5,7,2] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[6,3,4,5,7,1,8,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,5,4,6,1,7,8,3] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[7,2,1,4,3,6,5,8] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[7,3,4,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[7,4,3,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,6,3,2,5,4,1,8] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,3,2,5,4,8,1] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[1,8,3,2,5,4,7,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,3,5,1,6,2,4,8] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[7,2,1,5,6,3,4,8] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,2,1,6,5,4,3,8] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[7,3,6,1,5,4,2,8] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[7,4,6,5,1,3,2,8] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[1,8,5,4,3,2,7,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,6,4,3,7,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,4,3,1,8,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,4,7,5,1,3,8,2] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,1,5,4,8,2] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,1,7,5,4,8,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,2,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,8,5,1,3,7,6] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,5,8,4,3,1,7,6] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,8,4,3,7,1,5] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,7,8,4,3,6,5,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[1,8,7,4,3,6,5,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,5,6,3,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,5,6,3,4,1] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,6,8,5,7,3,1,4] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,5,8,6,7,1,3,4] => [1,3,4,2,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[2,4,8,6,1,7,3,5] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,1,7,6,8,4,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,4,7,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,7,6,8,1,3,2] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[4,6,7,5,8,3,1,2] => [1,2,3,4,6,7,5,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[1,8,5,6,7,2,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,5,6,8,2,3,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[5,4,6,7,1,8,2,3] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[5,3,6,1,7,8,2,4] => [1,7,8,2,4,3,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,1,6,7,8,3,4] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,1,5,7,3,8,4] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,3,5,1,7,2,8,4] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,5,7,1,2,8,3] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[6,5,4,7,2,1,8,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,4,7,2,8,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,8,4,6,2,7,3,5] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,8,3,2,6,7,4,5] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,2,6,8,4,1] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,3,2,7,8,1,4] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,1,4,3,7,8,5] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[5,2,1,4,3,8,7,6] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[5,3,4,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,3,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,8,3,2,7,6,5,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,4,7,2,6,5,3] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[3,7,4,8,2,6,5,1] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[3,6,4,8,2,7,1,5] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[3,5,4,8,2,1,7,6] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,4,5,8,1,2,7,6] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,3,5,1,8,2,7,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,2,1,5,8,3,7,6] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,6,8,7,3,5] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,1,8,7,2,5] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,6,8,1,7,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,5,6,8,7,1,2,4] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[3,6,5,8,7,2,1,4] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[3,7,5,8,6,2,4,1] => [1,2,4,3,7,5,8,6] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[1,8,6,7,5,4,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,7,8,5,4,1,2] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,5,7,8,6,1,4,2] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[3,4,7,8,1,6,5,2] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,7,8,6,5,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,8,7,1,6,5,3] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[2,5,8,7,6,1,4,3] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,8,7,5,4,1,3] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[7,4,6,1,8,3,5,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,3,4,1,7,5,6,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,8,3,1,7,5,6,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,6,2,1,7,5,8,3] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[7,5,2,1,6,8,4,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,8,4,3,1,7,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,6,8,4,1,7,5,2] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[7,5,6,1,8,3,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,5,7,1,8,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,7,5,6,1,8,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,4,1,7,5,3,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,7,5,3,1,8,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,2,1,6,7,5,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[1,8,4,2,6,7,5,3] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,3,2,7,6,8,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,3,2,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,5,3,1,7,6,8,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,8,4,1,6,7,5,3] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,7,5,1,6,8,4,3] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,6,1,7,5,8,3] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[4,7,1,6,5,8,2,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,8,2,6,5,7,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,5,1,2,6,8,4,3] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,1,2,6,7,5,3] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,3,1,2,7,6,8,4] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[1,2,5,3,7,6,8,4] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,3,1,2,7,6,8,5] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,7,1,5,8,2,3,4] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,1,5,8,3,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[7,5,1,6,8,4,2,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[8,4,1,6,7,5,2,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[5,2,3,1,7,6,8,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,3,5,2,7,6,8,4] => [1,3,5,2,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,6,2,5,8,3,4] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,2,1,5,8,3,4] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,1,5,7,6,2,4] => [1,5,7,2,4,3,6,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[6,2,4,1,7,5,8,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,2,5,1,7,4,8,3] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,6,4,8,2,5,3] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[8,2,6,4,7,1,5,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[6,1,5,2,7,4,8,3] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,6,2,5,8,3,1,4] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,5,7,6,2,1,4] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[1,5,2,3,7,6,8,4] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,2,1,3,7,6,8,4] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,5,2,6,8,4,1,3] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[8,4,2,6,7,5,1,3] => [1,3,2,6,7,4,5,8] => {{1},{2,3},{4,6},{5,7},{8}} => {{1},{2,3},{4,7},{5,6},{8}}
[6,1,4,2,7,5,8,3] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,6,5,7,1,4,3] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,6,8,2,5,7,1,4] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,2,5,7,6,1,4] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,3,2,7,6,8,4] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[4,1,3,2,7,6,8,5] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[4,2,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,2,3,7,6,8,5] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[2,4,1,3,7,6,8,5] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,8,3,5,7,6,1,4] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,8,2,3,5,7,1,4] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[6,7,1,3,5,8,2,4] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,1,2,3,7,6,8,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[3,1,2,4,7,6,8,5] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[10,8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,8,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[9,7,10,5,6,8,1,2,3,4] => [1,2,3,4,5,6,8,7,10,9] => {{1},{2},{3},{4},{5},{6},{7,8},{9,10}} => {{1},{2},{3},{4},{5},{6},{7,8},{9,10}}
[8,1,2,4,3,6,5,7] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[8,1,3,5,6,2,7,4] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,1,3,4,2,6,7,5] => [1,3,4,2,6,7,5,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[8,1,3,2,4,5,7,6] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[2,7,8,3,4,5,6,1] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[2,6,3,8,4,5,7,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[7,3,1,4,2,6,8,5] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[7,4,1,5,6,8,2,3] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[4,7,8,5,6,1,2,3] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[3,7,8,5,6,2,1,4] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[3,7,8,4,2,6,1,5] => [1,5,2,6,3,7,8,4] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,7,8,2,4,5,1,6] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[3,6,2,8,4,5,1,7] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,5,2,4,8,6,1,7] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,5,4,2,8,7,1,6] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,6,5,8,7,1,2,3] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[6,4,5,1,7,8,2,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,1,2,3,8,5,6] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,2,4,1,3,7,5,8] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,4,8,3,7,5,1] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[2,6,5,8,7,3,4,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[6,2,5,1,7,3,4,8] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,1,8,3,4,7] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,6,7,8,3,4,1] => [1,2,5,6,7,8,3,4] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[4,7,8,2,3,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,8,3,2,1,6,5] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,4,8,1,7,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,6,3,8,1,2,7,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,2,5,3,7,1,6,8] => [1,6,8,2,5,3,7,4] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[3,4,6,7,2,8,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,4,5,2,7,8,1,6] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[3,4,2,5,6,8,1,7] => [1,7,2,5,6,8,3,4] => {{1},{2,3,7},{4,5,6,8}} => {{1},{2,3,5,8},{4,6,7}}
[5,1,2,7,8,6,4,3] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[4,7,1,8,6,5,2,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,7,3,5,1,2,4] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[7,8,1,6,3,5,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,8,1,3,6,5,2,4] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,2,8,6,1,5,3] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[1,7,3,4,8,6,5,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,2,7,1,8,6,5,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,7,1,6,2,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,2,7,1,3,5,4] => [1,3,5,2,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,7,2,5,3,1,4] => [1,4,2,5,3,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[6,2,4,8,7,1,5,3] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,2,4,8,1,7,5,3] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,5,7,2,1,6,3,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,7,1,2,3,6,4] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[8,7,6,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,5,7,2,3,1,6,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,8,4,2,7,1,6,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,7,5,3,4,6,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,8,7,3,5,4,6,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,2,5,4,7,1,6,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,2,7,3,1,6,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,6,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[8,7,6,1,4,2,3,5] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[5,8,4,7,2,1,6,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,7,5,4,3,6,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,7,3,2,5,1,4] => [1,4,2,5,3,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[6,8,1,7,3,2,5,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,7,3,1,6,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[8,5,7,1,3,2,6,4] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[5,8,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,8,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[5,8,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,5,6,7,4,1,3] => [1,3,2,5,6,7,4,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[4,8,5,7,1,6,2,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,5,7,1,2,6,3] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,5,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,5,3,1,7,2,6,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[1,6,4,8,3,7,5,2] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[1,8,7,4,5,3,6,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,5,7,2,1,6,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,3,7,2,1,6,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,7,6,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,1,3,2,4,5] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,5,3,2,7,1,6,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,8,5,2,7,1,6,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,4,3,5,6,2] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[1,8,7,3,4,5,6,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,2,3,7,1,6,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[6,3,1,5,4,2,8,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,1,5,2,7,6,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,5,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,4,2,1,7,6,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,4,2,1,3,8,7] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,4,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,4,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,5,4,1,2,7,6,3] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,7,4,1,6,3,2,5] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,4,1,6,5,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,4,1,3,7,6,2] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,4,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,2,5,1,7,6,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,2,5,1,7,4,6] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,4,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,5,4,1,3,7,2,6] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,4,1,6,5,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,4,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,6,5,2,1,4,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,4,3,6,2,1,5] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,3,2,7,6,4,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,1,8,7,6,4,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,1,8,7,6,4,5,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,2,7,6,4,5,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,5,4,2,3,7,6,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,7,4,2,6,3,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,3,1,7,6,4,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,1,7,6,4,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,1,7,6,5,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,1,5,4,7,6,2] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[8,3,1,5,4,7,2,6] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,3,1,7,6,5,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,3,1,7,6,2,5,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,4,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,7,4,2,6,5,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[8,5,4,2,3,7,1,6] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,3,2,5,4,7,1,6] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,1,8,5,4,7,3,6] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,3,2,7,6,5,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,4,3,6,5,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[8,7,6,5,3,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,7,6,5,1,3,4,2] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,1,4,3,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,7,6,5,4,1,3,2] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,7,4,3,6,1,5,2] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,3,2,7,6,1,5,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,1,8,7,6,3,5,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,3,2,7,6,1,4,5] => [1,4,5,2,7,3,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,7,6,5,1,4,2,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,3,5,1,8,4,6,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,3,4,1,8,5,6,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,2,1,8,7,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,5,2,7,4,3,8] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,4,3,1,8,6,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,5,1,8,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,4,1,8,5,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,1,8,7,5,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,4,2,7,5,3,8] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,5,3,2,7,6,4,8] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,3,2,1,8,7,6,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[4,5,7,1,6,8,2,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,5,1,2,8,4,3,7] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,4,1,2,8,5,3,7] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,3,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[7,1,3,4,8,2,5,6] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,5,6,8,2,3,4] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[7,4,1,6,8,5,2,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[5,2,3,1,8,6,7,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,1,6,8,7,4] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,5,7,3,4,8] => [1,6,2,5,7,3,4,8] => {{1},{2,3,6},{4,5,7},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[6,2,1,5,8,7,3,4] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,5,1,8,4,7,3] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,2,1,4,8,7,3,5] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,2,1,3,8,7,4,6] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,4,1,3,8,5,2,6] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,1,3,8,4,2,6] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,4,6,8,2,3,5] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[7,1,3,5,8,2,4,6] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,1,2,4,8,3,5,7] => [1,2,4,8,3,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,2,3,1,6,4,8,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,2,3,1,8,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,2,4,1,8,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,5,2,4,1,8,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,2,4,1,6,3,8,7] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,1,6,3,5,2,8,7] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[6,3,4,1,5,2,8,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,2,6,3,4,1,8,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,2,7,3,4,1,8,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,8,6,7,3,4,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,8,5,7,3,4,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[6,2,7,3,4,1,8,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,4,1,5,2,8,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,1,7,3,5,2,8,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,7,4,5,2,8,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,1,7,4,5,3,8,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,6,7,4,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,8,6,7,3,5,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,6,7,3,4,1,5,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,5,7,3,4,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,6,2,7,3,4,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,1,8,4,7,3,6,2] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,8,5,7,3,6,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,5,7,4,6,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,1,8,5,7,4,6,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,1,7,3,6,2,8,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,1,7,3,6,2,8,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,2,7,3,5,1,8,4] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,2,8,4,7,3,5,1] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[7,3,6,2,5,1,8,4] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,2,5,1,7,3,8,4] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,2,4,1,7,3,8,6] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[6,2,4,1,7,3,8,5] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[8,5,7,3,6,2,4,1] => [1,2,4,3,6,5,7,8] => {{1},{2},{3,4},{5,6},{7},{8}} => {{1},{2},{3,4},{5,6},{7},{8}}
[8,5,7,4,6,2,3,1] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[7,4,6,2,3,1,8,5] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,2,3,1,7,4,8,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,2,3,1,7,4,8,6] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,2,3,1,7,5,8,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,2,8,6,7,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,3,1,8,5,7,4] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,5,6,2,3,1,7,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,8,5,6,2,3,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[7,3,8,5,6,2,4,1] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[8,5,6,2,4,1,7,3] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[5,2,4,1,8,6,7,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,1,5,2,8,6,7,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,1,5,2,8,6,7,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,1,6,3,8,5,7,4] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,1,6,2,8,5,7,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,2,8,5,7,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,6,2,5,1,7,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,3,8,4,6,2,5,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,7,3,8,4,5,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,4,5,1,6,2,7,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,8,4,6,2,7,3] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,1,8,5,6,2,7,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,5,6,2,7,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,4,8,5,6,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,1,7,4,8,5,6,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,1,7,3,8,5,6,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,8,4,5,1,6,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,4,5,1,7,3,6,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,3,6,2,8,4,5,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,8,5,6,1,3,4,2] => [1,3,4,2,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[1,3,8,4,7,2,5,6] => [1,3,8,2,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[3,6,1,4,7,2,5,8] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[1,4,8,2,5,7,3,6] => [1,4,8,2,5,7,3,6] => {{1},{2,4},{3,6,7,8},{5}} => {{1},{2,6,7,8},{3,4},{5}}
[7,8,2,4,5,6,1,3] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[7,8,1,5,4,6,3,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,2,1,6,3,4,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,3,5,6,4,1,2] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,5,1,4,2,6,3] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,4,5,3,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,5,8,4,3,2,7,6] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[5,6,1,4,3,2,7,8] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,4,8,3,7,1,5] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,4,6,8,3,7,5,2] => [1,4,6,8,2,3,7,5] => {{1},{2,4,5,8},{3,6},{7}} => {{1},{2,5,6},{3,4,8},{7}}
[2,5,8,1,4,7,6,3] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[3,5,8,4,7,6,1,2] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[1,6,2,4,7,3,8,5] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[5,6,2,1,4,7,8,3] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,5,3,1,8,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,5,1,3,6,8,2] => [1,3,6,8,2,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,5,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[5,7,3,6,1,4,8,2] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[6,1,7,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,1,2,4,5,8,7] => [1,2,4,5,8,3,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,4,7,2,5,3,8,6] => [1,4,7,2,5,3,8,6] => {{1},{2,4},{3,6,7,8},{5}} => {{1},{2,6,7,8},{3,4},{5}}
[4,6,7,8,3,5,1,2] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[3,6,1,8,4,2,5,7] => [1,8,2,5,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,7,8,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[5,2,7,6,1,4,3,8] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,5,7,6,8,1,3,4] => [1,3,4,2,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[2,7,5,6,8,4,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[2,7,1,8,5,3,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,7,6,8,5,4,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[4,3,8,5,6,7,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,2,8,1,6,3,7,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,5,4,6,7,2] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[3,2,8,4,5,6,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,4,2,8,6,1,7,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,4,7,1,5,2,6,8] => [1,5,2,6,8,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,7,8,1,2,6,5] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,7,3,8,5,2,6,4] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,8,3,6,2,5,7] => [1,8,2,5,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,8,6,3,2,1,4] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,7,8,6,1,3,4,2] => [1,3,4,2,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[7,6,5,8,1,3,4,2] => [1,3,4,2,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[1,6,4,3,8,2,5,7] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[3,6,5,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[2,4,5,1,7,8,6,3] => [1,7,8,2,4,5,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,3,4,5,8,1,7] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[2,6,4,1,8,3,7,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[7,3,6,4,8,5,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,2,1,4,8,3,5,6] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,1,6,5,3,8,4,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[6,5,2,7,1,8,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,7,3,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[5,6,7,4,2,8,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,7,6,4,1,8,3,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,1,5,2,8,3,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,7,5,2,4,8,3,6] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[6,1,5,2,8,3,4,7] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[6,7,5,3,8,4,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,6,5,4,2,3,8,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[7,1,5,3,4,2,8,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,6,1,5,3,2,8,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,5,6,4,1,2,8,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,7,5,4,3,1,8,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,2,4,3,1,6,8] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,6,1,2,5,3,8] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,1,4,2,5,3,6,8] => [1,4,2,5,3,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[6,8,1,4,2,5,7,3] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,4,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[1,6,3,7,5,4,2,8] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,1,3,7,5,4,2] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,1,3,5,6,4,2,8] => [1,3,5,6,2,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,3,1,6,4,5,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,2,6,5,1,3,8] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,6,3,1,5,2,8] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,2,3,5,4,1,6,8] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,1,2,3,4,7,5] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[1,5,7,2,3,8,6,4] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,8,2,3,7,6,4,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,2,8,1,3,7,4,5] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,2,3,5,4,7,1] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[6,8,2,4,1,5,7,3] => [1,5,7,2,4,3,6,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[6,8,3,1,2,4,7,5] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,6,3,5,7,1,4,8] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,5,1,7,8,3,6,4] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,1,4,7,8,5,6,3] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,7,6,1,8,4] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,7,4,1,6,2,8] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[5,3,4,1,8,6,7,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,8,6,5,3,7,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,2,8,5,7,6,3,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[1,4,2,7,5,8,6,3] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,8,6,7,5,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,8,7,6,2,4,1] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[5,8,4,7,6,2,1,3] => [1,3,2,4,7,5,8,6] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[6,4,8,3,1,7,2,5] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,8,7,1,3,5] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,8,7,2,5,1,4] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[5,8,3,7,1,6,4,2] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[5,1,3,8,6,7,2,4] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,7,6,4,2,8,3] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,4,1,6,2,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,4,8,1,2,7,3,5] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,8,5,1,2,3,7,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,8,5,3,1,2,7,4] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,5,1,2,7,6,3,8] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,1,2,6,8,7,3] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,6,1,8,4,7,2] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[3,5,7,1,2,8,6,4] => [1,2,8,3,5,7,4,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[4,5,3,1,7,6,2,8] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,2,5,7,1,6,3,8] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[3,1,4,7,5,6,2,8] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,4,6,5,8,7,1,2] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[3,5,6,2,8,4,7,1] => [1,2,8,3,5,6,4,7] => {{1},{2},{3,4,7,8},{5},{6}} => {{1},{2},{3,4,7,8},{5},{6}}
[4,2,5,6,1,8,7,3] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,1,6,8,7,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,1,7,5,8,6,4,3] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,7,5,3,8,6,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,2,7,3,8,6,5] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,1,7,5,2,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,3,7,5,2,4,8] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,1,2,6,8,5,4,7] => [1,2,6,8,3,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,7,1,2,5,4,8,6] => [1,2,5,3,7,4,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,7,2,4,8,6,5] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,4,1,7,8,6,5,3] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,4,7,5,1,8,6,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,4,1,5,8,6,3] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[2,3,7,1,5,8,6,4] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,8,1,3,7,4,6] => [1,3,7,2,8,4,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,8,6,4,1,5,7,3] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,4,8,5,1,7,2] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,3,7,5,8,1,4] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,7,2,3,6,8,1,5] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,7,3,6,8,1,4] => [1,4,2,7,3,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[5,7,3,4,6,1,8,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[8,2,3,5,1,6,7,4] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,4,8,1,7,3,5,6] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,8,3,1,7,2,5,6] => [1,7,2,5,6,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,4,7,3,1,6,2] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,8,3,1,7,5,2] => [1,7,2,3,4,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,3,8,2,7,1,5,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,7,4,1,6,2,3,8] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,1,8,4,2,7,3,6] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[1,6,2,8,5,3,7,4] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,5,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,3,7,2,8,4,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,7,8,5,1,4] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,7,8,3,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,7,2,5,8,1,6,3] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[8,1,3,4,6,2,5,7] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,5,6,8,2,7,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,4,5,6,8,1,7,3] => [1,7,2,4,5,6,8,3] => {{1},{2,3,7,8},{4},{5},{6}} => {{1},{2,3,7,8},{4},{5},{6}}
[5,6,2,3,7,8,1,4] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[5,8,7,3,4,1,2,6] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[6,8,4,7,1,5,3,2] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[5,4,8,7,2,6,3,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,8,7,1,6,3,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,8,7,6,1,2,4] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[4,3,8,7,6,1,2,5] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,3,7,5,1,2,6] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[3,4,8,7,6,1,2,5] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[4,5,8,7,6,1,2,3] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,5,8,7,1,6,3,2] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,5,8,7,2,6,3,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[3,5,8,2,7,6,4,1] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[3,5,8,1,7,6,4,2] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[2,5,8,1,7,6,4,3] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,8,7,1,6,3,4] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[2,4,8,7,1,6,3,5] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[2,8,4,7,1,5,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[8,2,4,6,1,5,3,7] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[1,8,4,7,2,5,3,6] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,4,8,7,2,6,3,5] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,5,8,7,2,6,3,4] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,2,7,6,4,3] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[2,5,8,3,7,6,4,1] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,4,2,8,7,6,5,3] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,3,2,7,5,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[8,1,3,2,6,5,4,7] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[8,2,3,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,3,8,1,7,6,4,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,8,7,6,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,8,7,6,5,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,2,1,6,5,4,7] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[4,2,8,7,1,6,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[5,2,8,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,8,1,7,6,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,3,8,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,8,2,7,6,4,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,8,3,2,7,5,4,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,8,3,1,7,5,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,2,1,7,5,4,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,2,7,1,5,3,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[5,8,7,1,2,4,3,6] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1},{2},{3,4},{5,6},{7,8}}
[6,8,1,2,7,5,4,3] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,8,2,3,7,5,4,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,2,8,3,7,6,4,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[5,1,8,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,1,8,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,7,2,5,3,6] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,4,1,6,2,5,3,7] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,1,2,6,5,4,7] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,8,1,2,7,5,4,6] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[3,1,8,2,7,6,4,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,2,8,7,6,5,4] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,3,8,7,6,5,2] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,8,7,6,5,2] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,8,1,3,7,5,4,6] => [1,3,7,2,8,4,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[8,2,1,3,6,5,4,7] => [1,3,6,2,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,2,3,6,5,4,7] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[1,2,8,3,7,6,4,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[1,4,3,6,8,2,5,7] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,6,2,5,8,4,7] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[1,4,5,2,8,3,7,6] => [1,4,5,2,8,3,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[1,4,2,6,5,8,3,7] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,5,4,2,6,8,3,7] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,5,2,6,4,8,3,7] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,2,6,5,4,8,3,7] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[1,2,5,4,7,3,8,6] => [1,2,5,3,8,4,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,1,2,6,3,8,7,5] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[7,1,5,4,2,8,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[1,4,7,5,2,8,3,6] => [1,4,7,2,8,3,6,5] => {{1},{2,4},{3,6,7},{5,8}} => {{1},{2,7},{3,4},{5,6,8}}
[7,1,3,5,2,8,4,6] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,5,1,8,3,4,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,5,2,8,7,3,6] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,6,4,2,8,3,7,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,2,8,3,7,6,5] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,5,3,8,7,6,4] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,8,6,5,3,7,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[1,5,2,8,6,3,7,4] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,6,4,2,8,7,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[6,2,1,8,7,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,2,1,8,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,1,6,2,8,4,5] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,6,4,2,8,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,5,2,6,3,8,4] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,7,5,3,8,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,2,7,6,5,3,8,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,6,5,3,8,7,4] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[1,5,2,6,3,8,7,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,5,2,7,6,3,8,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[1,6,5,2,7,3,8,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,5,7,4,2,8,3,6] => [1,5,7,2,8,3,6,4] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[4,1,2,8,6,3,7,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,3,7,1,8,2,5,6] => [1,8,2,5,6,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,1,8,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,8,7,3,2,4,6,5] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,4,2,8,7,3,6,5] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,7,4,2,8,3,6,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[8,1,5,4,2,7,3,6] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,5,3,1,7,2,4,6] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,6,2,1,7,3,4,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,6,4,2,7,3,5] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,8,5,2,6,3,7,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[1,5,2,7,3,8,6,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[1,2,8,5,3,7,6,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[1,2,6,3,8,7,5,4] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[1,2,7,6,3,8,5,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,6,2,7,3,8,5,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,7,2,8,5,3,6,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,7,4,2,8,6,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,2,1,8,6,3,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,3,2,6,4,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,4,2,8,7,6,3,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,8,7,5,3,6,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,8,6,3,7,5,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[1,2,7,3,8,6,5,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,7,3,6,5,8,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,8,7,6,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,7,6,3,4,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,8,6,2,4,1,3] => [1,3,2,4,5,7,8,6] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[5,7,1,6,2,4,3,8] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,4,1,5,2,7,3,8] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[8,1,4,5,3,7,6,2] => [1,4,5,2,3,7,6,8] => {{1},{2,4},{3,5},{6,7},{8}} => {{1},{2,5},{3,4},{6,7},{8}}
[6,1,4,5,3,8,7,2] => [1,4,5,2,3,8,6,7] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[6,1,4,5,3,7,8,2] => [1,4,5,2,3,7,8,6] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[5,1,7,8,6,2,4,3] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[6,1,4,8,3,5,7,2] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[7,1,8,6,3,4,5,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,4,5,3,8,6,2] => [1,4,5,2,3,8,6,7] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[7,4,1,5,2,6,3,8] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,3,5,7,2,1,4,8] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[6,3,5,8,2,1,7,4] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[6,3,5,7,2,1,8,4] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,4,5,7,3,6,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[6,4,5,8,3,7,2,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,8,7,6,2,4,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[5,4,8,6,3,1,7,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,8,1,6,2,4,3,7] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,4,1,5,2,6,3,7] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,3,5,8,2,1,4,7] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,3,4,1,8,6,5,7] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,3,5,6,2,1,4,7] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[2,3,8,5,1,4,7,6] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[2,3,8,6,1,5,7,4] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,8,6,7,1,3,5,4] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,5,6,1,7,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,5,6,3,1,8,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,5,6,3,1,7,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,3,5,6,2,8,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,8,2,1,6,4] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,3,5,6,2,1,4,8] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,7,6,5,1,3,4,8] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,8,1,3,5,4] => [1,3,5,2,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,7,6,5,8,3,1,4] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,5,6,1,4,2,3] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[2,6,4,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,6,1,3,8,5,7,4] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,1,3,6,5,8,4] => [1,3,6,2,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[2,7,6,8,4,3,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,7,6,1,8,3,4,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,1,4,3,5,8] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,1,2,8,4,6] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[8,4,1,5,2,3,7,6] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,8,1,6,3,4,2,5] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,4,1,8,3,2,7,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,8,6,4,1,7,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,6,7,4,3,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,5,7,2,4,1,6] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[2,3,4,1,8,7,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,6,1,7,3,4,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,3,8,1,4,5,7,6] => [1,4,5,7,2,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,6,1,4,3,5,7] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,2,3,4,5,6,7,9,8] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}} => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,2,3,4,5,6,7,8,10,9] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[2,1,3,4,5,6,7,8,9,10] => [1,3,4,5,6,7,8,9,10,2] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[1,2,3,4,5,6,7,8,9,11,10] => [1,2,3,4,5,6,7,8,9,11,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[9,1,2,3,4,5,6,7,10,8] => [1,2,3,4,5,6,7,10,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[1,8,2,3,4,5,6,9,7] => [1,8,2,3,4,5,6,9,7] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[7,1,2,3,4,5,6,9,8] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[2,1,9,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[2,8,1,3,4,5,6,7,9] => [1,3,4,5,6,7,9,2,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[2,10,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2,10] => {{1},{2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9},{10}}
[2,1,3,4,5,6,7,8,9,10,11] => [1,3,4,5,6,7,8,9,10,11,2] => {{1},{2,3,4,5,6,7,8,9,10,11}} => {{1},{2,3,4,5,6,7,8,9,10,11}}
[8,4,3,6,5,1,7,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,6,3,4,1,7,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,5,4,3,1,7,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,6,5,4,2,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,6,5,2,7,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,5,4,1,6,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,5,4,1,3,6,2] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,5,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,6,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,8,2,6,5,1,7,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,2,8,6,5,1,7,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,2,1,7,6,4,5,8] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,3,7,6,2,5,8] => [1,3,7,2,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[5,1,7,3,6,2,4,8] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[6,1,7,5,3,2,4,8] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,1,6,5,2,4,3,8] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,6,5,2,3,7,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[1,2,7,6,3,4,5,8] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,8,3,7,4,5,6] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[8,1,7,2,6,3,5,4] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,1,8,2,6,4,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,8,3,2,7,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,2,1,8,4,7,5,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,7,1,6,5,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,2,7,1,6,5,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,2,1,6,4,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,8,7,1,3,5,4,2] => [1,3,5,2,4,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[7,8,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,6,1,5,4,3,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[1,8,7,2,6,5,3,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,7,8,2,5,6,3,4] => [1,7,8,2,5,6,3,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[6,5,8,3,2,1,7,4] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,8,3,1,4,6,2] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[8,5,7,3,1,6,4,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,5,4,8,2,7,3,6] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,4,3,7,1,6,5,2] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[7,4,3,8,1,5,6,2] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,1,5,2,7,8] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,4,3,1,2,6,5,8] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[1,5,4,2,3,6,7,8] => [1,5,2,3,6,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,1,4,2,3,7,6] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[7,5,1,4,2,6,3,8] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,1,4,3,2,7,8] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,3,4,2,7,8] => [1,3,4,2,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[4,6,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,2,6,1,5,4,7,8] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[4,7,2,1,3,6,5,8] => [1,3,6,2,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,7,1,3,2,6,4,8] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,7,1,2,4,5,3,8] => [1,2,4,5,3,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[7,6,1,2,5,4,3,8] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,6,1,2,5,3,7,4] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[1,7,2,3,6,4,5,8] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,1,2,3,6,5,4] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,8,1,2,3,5,6,4] => [1,2,3,5,6,4,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[5,8,1,3,2,4,7,6] => [1,3,2,4,7,5,8,6] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[4,8,2,1,3,5,7,6] => [1,3,5,7,2,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,1,3,2,5,6,7,8] => [1,3,2,5,6,7,8,4] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,1,2,4,3,6,7,8] => [1,2,4,3,6,7,8,5] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[6,1,2,3,5,4,7,8] => [1,2,3,5,4,7,8,6] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[7,1,2,3,4,6,5,8] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[8,1,2,3,4,5,7,6] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[6,7,3,8,5,1,2,4] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[6,7,4,5,1,8,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,7,6,8,1,2,3] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[3,8,4,5,7,1,2,6] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[3,4,8,6,7,1,2,5] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[4,5,6,7,1,8,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,1,7,8,4,2] => [1,7,8,2,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,6,1,8,7,4,3] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,6,8,1,7,3,4] => [1,7,2,5,6,8,3,4] => {{1},{2,3,7},{4,5,6,8}} => {{1},{2,3,5,8},{4,6,7}}
[8,2,4,5,1,6,3,7] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[1,5,6,2,8,4,7,3] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[2,5,6,3,4,7,8,1] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[1,4,2,6,8,5,7,3] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,1,3,2,5,4,6,7] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[8,2,3,1,5,6,4,7] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,8,3,1,5,7,4,6] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,1,6,8,7,5,3] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,6,7,8,5,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,2,7,8,1,6,3,4] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,3,7,2,6,4,8,1] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,7,3,1,5,8,4,2] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,1,8,5,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,8,1,5,3,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,7,8,2,1,4,3,5] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,7,1,2,8,4,5,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,7,1,3,4,8,5,2] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,3,4,8,6,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,1,7,8,2,3,6,4] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[4,1,8,7,2,3,6,5] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,1,2,7,4,5,6] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,3,7,5,8,6,2] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,4,5,7,8,6,2] => [1,4,5,7,8,2,3,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,3,4,7,6,5] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,1,3,4,6,5,7] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,8,2,3,4,5,7,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[1,2,8,3,4,6,7,5] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[4,2,1,6,5,8,7,3] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,2,6,1,4,8,7,3] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,2,6,4,1,8,7,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,2,7,4,8,1,6,3] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,7,4,8,6,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,7,2,3,8,6,1,4] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[5,7,2,3,8,1,6,4] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,6,2,3,1,8,7,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,1,3,8,7,4] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,3,2,8,7,4] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,6,3,1,2,8,7,4] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,3,2,1,8,7,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,2,8,6,1,4] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,3,8,1,2,5,4] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,7,3,1,8,2,6,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,7,1,3,8,2,6,4] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,4,8,2,6,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,5,7,4,8,3,6,2] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,5,7,4,8,6,3,2] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,4,8,6,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,7,1,3,8,6,2,4] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,3,8,1,5,2,4] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[6,7,3,8,5,2,1,4] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,7,8,3,1,4,2,5] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,1,8,3,5,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,1,7,8,4,5,2,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,7,8,4,5,3,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,8,4,2,5,3] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[6,7,1,8,3,2,5,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,2,1,8,3,6,4] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,8,1,3,5,4] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,8,3,1,5,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,7,2,8,3,5,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,7,8,4,1,5,3] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,2,7,8,1,4,5,3] => [1,4,5,2,7,8,3,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[5,2,7,1,8,4,6,3] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,2,1,7,8,5,6,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,2,7,8,6,5,3] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[6,2,7,8,1,5,4,3] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,2,7,8,5,1,4,3] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,2,8,5,3,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,2,1,8,6,3,4] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,7,1,2,8,6,3,4] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[5,1,7,2,8,6,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,5,7,3,8,6,4,2] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,1,7,8,2,5,4,3] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[6,7,1,8,2,5,3,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,8,2,4,1,3,5] => [1,3,5,2,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[6,7,8,2,4,3,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,7,1,8,5,2,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,8,5,2,4,3] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[1,6,7,8,5,3,4,2] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,8,5,4,2,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,7,8,4,1,3,2,5] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[6,3,8,5,2,7,4,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,4,5,8,7,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,8,1,4,7,2,3,6] => [1,4,7,2,3,6,5,8] => {{1},{2,4},{3,5,7},{6},{8}} => {{1},{2,5,7},{3,4},{6},{8}}
[5,6,1,4,8,7,3,2] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,6,4,8,5,7,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,4,7,1,8,6,5,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,8,4,2,7,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[3,6,8,7,1,4,2,5] => [1,4,2,5,3,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[5,3,7,1,6,8,2,4] => [1,6,8,2,4,3,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,3,8,5,6,7,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,8,1,7,6,2,4,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,6,1,2,7,8,5,3] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,6,4,2,8,7,5,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,7,5,2,8,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,7,1,4,8,3,2,6] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,8,1,4,6,7,2,3] => [1,4,6,7,2,3,5,8] => {{1},{2,4,5,7},{3,6},{8}} => {{1},{2,5,6},{3,4,7},{8}}
[6,5,8,4,3,7,2,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,3,7,4,2,8,5,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[8,7,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[3,8,6,7,1,4,5,2] => [1,4,5,2,3,8,6,7] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[5,3,8,7,4,1,2,6] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,3,8,7,1,5,6,2] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,1,8,7,3,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,4,2,7,3,6,8,1] => [1,2,7,3,6,8,4,5] => {{1},{2},{3,4,7},{5,6,8}} => {{1},{2},{3,4,6,7},{5,8}}
[7,5,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,1,5,3,8,2,7] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[8,5,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,2,6,3,4,7,5,1] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,2,7,4,3,5,8,1] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[5,7,3,6,4,2,8,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,7,6,4,5,2,8,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[2,7,6,5,3,4,8,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[6,5,4,3,1,8,2,7] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,5,4,2,7,3,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,5,4,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[7,5,4,1,8,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,7,4,2,1,8,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,5,3,4,8,2,7] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,6,3,1,8,2,7] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[6,5,8,4,2,7,3,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,8,2,6,4,7,3,1] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,8,3,1,7,2,5,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,6,3,7,5,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,7,1,6,2,5,4,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,1,6,3,2,5,4] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,8,6,1,7,4,5,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,3,7,2,6,5] => [1,3,7,2,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,8,5,7,3,6,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,7,6,8,3,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[6,7,3,1,8,4,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,3,8,4,5,2,6] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,1,8,4,3,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,1,2,8,3,5,4,6] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[7,2,6,1,8,4,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,6,1,7,3,5,4] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,1,4,7,5,6,2] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[7,3,1,5,8,4,2,6] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,5,8,3,6,7] => [1,5,8,2,3,6,7,4] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[5,4,2,7,1,8,3,6] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[5,4,3,1,6,8,2,7] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,5,6,8,3,2,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[6,5,4,8,2,7,3,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[6,5,2,8,7,3,4,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,1,8,7,4,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[5,1,8,3,7,6,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,4,8,1,7,2,6,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,5,8,3,2,6,4,1] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[5,7,3,8,2,6,4,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[5,2,6,8,7,3,4,1] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,7,2,8,6,3,5,1] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[2,3,8,7,4,5,6,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,2,8,6,4,3,5,1] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[2,1,8,7,5,6,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,7,6,5,2,4,3] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,1,8,6,5,3,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,2,8,7,6,3,4,5] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,3,8,7,4,6,2,5] => [1,3,8,2,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,5,8,3,7,6,2,4] => [1,5,8,2,4,3,7,6] => {{1},{2,4,5},{3,6,8},{7}} => {{1},{2,5},{3,4,6,8},{7}}
[5,1,6,8,7,4,2,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[6,8,4,7,5,3,2,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[3,8,7,6,4,5,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,8,7,6,5,3,4,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,8,7,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,6,7,3,4,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,8,6,7,3,5,1,2] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[3,8,6,7,4,5,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,8,6,7,4,5,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,8,6,7,4,5,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,7,4,6,2,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,8,5,7,4,6,1,2] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,8,5,7,3,6,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,8,3,6,4,5,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[6,8,3,7,4,5,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,8,3,7,4,6,1,2] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[3,7,4,8,5,6,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[4,7,3,8,5,6,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,7,2,8,5,6,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,7,1,8,5,6,2,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,1,8,5,6,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,7,2,8,5,6,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,3,8,5,6,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,7,4,8,5,6,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,8,2,7,4,6,1,3] => [1,3,2,7,4,6,5,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[6,8,2,7,4,5,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[7,8,2,6,4,5,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[7,8,1,6,4,5,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,1,7,4,5,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,1,7,4,6,2,3] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,7,4,8,5,6,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,7,3,8,5,6,2,4] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[2,8,5,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,8,5,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,3,8,4,6,2,5] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,8,1,7,3,6,2,5] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,8,1,7,3,6,2,4] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[6,8,1,7,3,5,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,8,2,6,3,5,1,4] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,2,7,3,5,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,2,7,3,6,1,4] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[4,8,2,7,3,6,1,5] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[2,7,3,8,4,6,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[3,7,2,8,4,6,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,7,1,8,4,6,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,4,7,3,6,2,5] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,4,7,3,6,1,5] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[3,8,4,7,2,6,1,5] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,8,5,7,2,6,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[3,8,5,7,2,6,1,4] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,8,5,7,3,6,2,4] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[1,8,6,7,3,5,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,8,6,7,3,5,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,6,7,2,5,1,4] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[4,8,6,7,2,5,1,3] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[5,8,6,7,2,4,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[6,8,5,7,1,4,2,3] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[5,8,6,7,1,4,2,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[4,8,6,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[3,8,6,7,1,5,2,4] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[1,5,2,8,6,7,3,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,5,1,8,6,7,3,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,1,8,5,7,3,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,6,2,8,5,7,3,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,5,7,1,6,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,8,4,7,1,5,2,3] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[7,8,4,6,1,5,2,3] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,3,6,1,5,2,4] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,8,3,7,1,5,2,4] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[4,8,3,7,1,6,2,5] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,8,4,7,1,6,2,5] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,8,4,7,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[2,6,1,8,4,7,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,2,6,1,8,4,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,7,1,6,2,8,4,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,6,2,7,3,5] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[5,8,1,6,2,7,3,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,8,1,5,2,6,3,4] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,2,5,1,6,3,4] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,2,5,1,7,3,4] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,2,6,1,7,3,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[4,8,2,6,1,7,3,5] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,3,6,2,8,4,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,7,3,6,1,8,4,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[1,2,3,4,5,6,8,9,7] => [1,2,3,4,5,6,8,9,7] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[1,2,3,4,5,7,8,9,6] => [1,2,3,4,5,7,8,9,6] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[1,2,3,4,6,7,8,9,5] => [1,2,3,4,6,7,8,9,5] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[1,2,3,5,6,7,8,9,4] => [1,2,3,5,6,7,8,9,4] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[1,2,4,5,6,7,8,9,3] => [1,2,4,5,6,7,8,9,3] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[1,3,4,5,6,7,8,9,2] => [1,3,4,5,6,7,8,9,2] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,2,3,4,5,6,7,8,9,10] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[1,2,3,4,5,6,9,8,7] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[1,2,3,4,5,6,7,9,10,8] => [1,2,3,4,5,6,7,9,10,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[1,2,3,4,5,6,8,9,10,7] => [1,2,3,4,5,6,8,9,10,7] => {{1},{2},{3},{4},{5},{6},{7,8,9,10}} => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[1,2,3,4,5,7,8,9,10,6] => [1,2,3,4,5,7,8,9,10,6] => {{1},{2},{3},{4},{5},{6,7,8,9,10}} => {{1},{2},{3},{4},{5},{6,7,8,9,10}}
[1,2,3,4,6,7,8,9,10,5] => [1,2,3,4,6,7,8,9,10,5] => {{1},{2},{3},{4},{5,6,7,8,9,10}} => {{1},{2},{3},{4},{5,6,7,8,9,10}}
[1,2,3,5,6,7,8,9,10,4] => [1,2,3,5,6,7,8,9,10,4] => {{1},{2},{3},{4,5,6,7,8,9,10}} => {{1},{2},{3},{4,5,6,7,8,9,10}}
[1,4,3,5,6,7,8,9,2] => [1,4,2,3,5,6,7,8,9] => {{1},{2,3,4},{5},{6},{7},{8},{9}} => {{1},{2,3,4},{5},{6},{7},{8},{9}}
[1,2,4,5,6,7,8,9,10,3] => [1,2,4,5,6,7,8,9,10,3] => {{1},{2},{3,4,5,6,7,8,9,10}} => {{1},{2},{3,4,5,6,7,8,9,10}}
[3,2,4,5,6,7,8,9,1] => [1,2,4,5,6,7,8,9,3] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[1,3,4,5,6,7,8,9,10,2] => [1,3,4,5,6,7,8,9,10,2] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[6,7,4,8,3,5,1,2] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[6,7,4,5,2,8,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,7,4,6,2,3,1,8] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,4,6,3,8,1,2] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[5,7,4,8,3,6,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,8,4,5,3,7,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,8,4,6,3,7,1,2] => [1,2,3,7,4,6,5,8] => {{1},{2},{3},{4,5,7},{6},{8}} => {{1},{2},{3},{4,5,7},{6},{8}}
[5,6,4,8,3,7,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[5,6,3,7,2,4,1,8] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,6,3,7,2,8,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,8,2,7,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,6,4,8,2,7,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,8,4,6,2,7,1,3] => [1,3,2,7,4,6,5,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[6,8,4,5,2,7,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[7,8,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[6,8,4,5,2,3,1,7] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,4,6,2,3,1,7] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,6,4,8,2,3,1,7] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,6,3,8,2,4,1,7] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[5,6,3,4,2,8,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,6,3,5,2,7,1,8] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,6,3,5,2,8,1,7] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,3,8,2,5,1,7] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,8,3,6,2,5,1,7] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,8,3,6,2,4,1,7] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[6,8,3,5,2,4,1,7] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,8,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,8,3,5,2,6,1,4] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,8,3,6,2,7,1,4] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[4,8,3,6,2,7,1,5] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[4,6,3,8,2,7,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[4,6,3,7,2,8,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,7,3,6,2,5,1,8] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,7,3,6,2,8,1,5] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[4,7,3,8,2,6,1,5] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,7,4,8,2,6,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,7,3,6,2,8,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,3,6,2,4,1,8] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[6,7,3,5,2,4,1,8] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,7,3,5,2,8,1,4] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,4,8,2,5,1,3] => [1,3,2,5,4,8,6,7] => {{1},{2,3},{4,5},{6,7,8}} => {{1},{2,3},{4,5},{6,7,8}}
[6,7,5,8,2,4,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[6,8,5,7,2,3,1,4] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[6,7,4,8,2,3,1,5] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[6,7,3,8,2,4,1,5] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[6,7,3,4,2,8,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,7,3,4,2,6,1,8] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,7,3,4,2,8,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,4,8,2,3,1,6] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,4,7,2,3,1,6] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,4,7,2,3,1,5] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[7,8,4,6,2,3,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[7,8,3,6,2,4,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[6,8,3,7,2,4,1,5] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[5,8,3,7,2,4,1,6] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[4,8,3,7,2,5,1,6] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,7,3,8,2,5,1,6] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,3,5,2,8,1,6] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,7,3,5,2,6,1,8] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,7,2,6,1,8] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,5,3,7,2,8,1,6] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,8,2,7,1,6] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,8,3,5,2,7,1,6] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[5,8,3,4,2,7,1,6] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,3,4,2,7,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,8,3,4,2,6,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[6,8,3,4,2,5,1,7] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,3,4,2,6,1,7] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[4,8,3,5,2,6,1,7] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,5,3,8,2,6,1,7] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,6,2,8,1,7] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,7,5,2,1,8,3,6] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,8,5,2,1,7,6,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,6,5,2,1,3,8,7] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,6,4,2,3,1,8,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,5,3,1,2,8,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,6,1,3,2,8,7] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[4,6,8,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,8,1,6,5,3,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,8,1,3,7,6,2] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,4,5,3,1,7,6,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,4,7,1,3,8,2,6] => [1,3,8,2,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,4,8,1,7,5,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,5,7,6,4,2,1,3] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[8,4,6,3,7,2,1,5] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,3,2,8,7,4,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,1,6,8,7,4,3,5] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,8,6,4,5,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,2,8,6,4,5,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,8,5,2,4,3,1] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[5,7,8,6,2,3,1,4] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,8,7,6,3,2,1,4] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,8,7,5,3,2,4,1] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[5,8,4,2,3,7,6,1] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,8,6,2,7,3,1,5] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,6,1,8,7,4,2,5] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,8,1,6,7,5,2,4] => [1,6,7,2,4,3,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,1,6,8,2,5,4] => [1,6,8,2,5,3,7,4] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[4,7,6,2,8,1,3,5] => [1,3,5,2,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,4,2,8,1,5,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,8,4,2,7,5,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[2,1,8,6,7,5,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,2,6,7,5,1,4] => [1,4,2,6,7,3,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,6,4,3,7,5,1,2] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,7,5,8,1,3,4,2] => [1,3,4,2,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[7,6,5,8,1,4,3,2] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[8,6,5,7,4,1,3,2] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[7,6,4,3,8,1,5,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,2,6,8,1,5,4] => [1,5,2,6,8,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,3,7,4,6,5,2] => [1,3,7,2,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,2,8,7,4,6,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[1,6,2,5,4,7,3,8] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,7,5,4,8,3,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[8,1,3,5,4,7,6,2] => [1,3,5,2,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[6,1,5,4,3,8,7,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,8,3,4,5,7,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,1,5,3,4,8,6,2] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[8,1,3,4,5,6,7,2] => [1,3,4,5,6,7,2,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,2,4,5,6,3,8] => [1,7,2,4,5,6,3,8] => {{1},{2,3,7},{4},{5},{6},{8}} => {{1},{2,3,7},{4},{5},{6},{8}}
[6,3,2,7,5,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,7,2,5,6,1,3] => [1,3,2,5,6,4,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[6,5,8,2,4,7,3,1] => [1,2,4,7,3,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,5,2,1,4,3,7,6] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[6,5,2,8,4,1,3,7] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,1,8,5,2,4,7] => [1,8,2,4,7,3,6,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,4,1,2,8,6,5,7] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,3,1,2,6,8,5,7] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,3,8,5,2,1,4,7] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[3,8,6,7,2,1,5,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,6,4,2,1,7,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,2,5,8,3,1,6,4] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[1,7,5,6,3,2,4,8] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,1,2,3,8,5,7,4] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[7,2,1,3,8,6,4,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,7,3,2,4,6,8] => [1,5,7,2,4,6,8,3] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[5,2,7,3,1,8,4,6] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,8,2,4,1,3,7,6] => [1,3,7,2,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,2,6,3,4,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[4,8,1,6,3,2,7,5] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,8,6,4,2,7,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,3,7,8,5,6] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,4,1,3,8,7,5,6] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,8,3,1,7,4,6] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,8,3,2,4,6,7] => [1,8,2,4,6,7,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[9,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,9,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,7,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}} => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[8,7,6,9,5,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[8,7,6,5,9,4,3,2,1] => [1,2,3,4,5,9,6,7,8] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[8,7,6,5,4,9,3,2,1] => [1,2,3,4,9,5,6,7,8] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[8,7,6,5,4,3,9,2,1] => [1,2,3,9,4,5,6,7,8] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[8,7,6,5,4,3,2,9,1] => [1,2,9,3,4,5,6,7,8] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[8,7,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[9,10,8,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[7,8,9,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,10,7,6,5,4,3,2,1] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[8,6,7,9,5,4,3,2,1] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}} => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[9,8,7,10,6,5,4,3,2,1] => [1,2,3,4,5,6,7,10,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[8,7,5,6,9,4,3,2,1] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[9,8,7,6,10,5,4,3,2,1] => [1,2,3,4,5,6,10,7,8,9] => {{1},{2},{3},{4},{5},{6},{7,8,9,10}} => {{1},{2},{3},{4},{5},{6},{7,8,9,10}}
[8,7,6,4,5,9,3,2,1] => [1,2,3,4,5,9,6,7,8] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[9,8,7,6,5,10,4,3,2,1] => [1,2,3,4,5,10,6,7,8,9] => {{1},{2},{3},{4},{5},{6,7,8,9,10}} => {{1},{2},{3},{4},{5},{6,7,8,9,10}}
[8,7,6,5,3,4,9,2,1] => [1,2,3,4,9,5,6,7,8] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[9,8,7,6,5,4,10,3,2,1] => [1,2,3,4,10,5,6,7,8,9] => {{1},{2},{3},{4},{5,6,7,8,9,10}} => {{1},{2},{3},{4},{5,6,7,8,9,10}}
[8,7,6,5,4,2,3,9,1] => [1,2,3,9,4,5,6,7,8] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[9,8,7,6,5,4,3,10,2,1] => [1,2,3,10,4,5,6,7,8,9] => {{1},{2},{3},{4,5,6,7,8,9,10}} => {{1},{2},{3},{4,5,6,7,8,9,10}}
[8,7,6,5,4,3,1,2,9] => [1,2,9,3,4,5,6,7,8] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[9,8,7,6,5,4,3,2,10,1] => [1,2,10,3,4,5,6,7,8,9] => {{1},{2},{3,4,5,6,7,8,9,10}} => {{1},{2},{3,4,5,6,7,8,9,10}}
[9,8,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[1,4,2,7,8,6,3,5] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,4,8,5,3,7] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[1,6,2,4,7,5,3,8] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[1,7,3,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,2,5,7,8,6,1,3] => [1,3,2,5,7,8,4,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[7,2,3,1,8,5,6,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,5,1,7,3,4,6] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,2,1,8,3,4,7,5] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,8,3,5,1,7,4] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,6,4,8,5,7,2] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,6,4,7,5,8,2] => [1,3,6,2,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,2,4,7,5,8,1,3] => [1,3,2,4,7,5,8,6] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[6,2,1,3,7,8,4,5] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,8,2,1,4,3,5,6] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[7,6,4,2,3,1,8,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,2,3,1,6,8,4] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[7,5,4,2,6,8,1,3] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[1,7,5,3,4,6,8,2] => [1,7,2,3,4,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[8,2,5,4,6,7,1,3] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[5,2,6,3,1,8,7,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,2,6,4,3,1,7,5] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,2,7,4,1,3,5,6] => [1,3,5,6,2,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,2,8,4,3,5,6,7] => [1,2,8,3,5,6,7,4] => {{1},{2},{3,4,8},{5},{6},{7}} => {{1},{2},{3,4,8},{5},{6},{7}}
[1,7,4,2,3,5,6,8] => [1,7,2,3,5,6,8,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[6,8,4,1,3,2,5,7] => [1,3,2,5,7,4,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[1,8,7,4,3,2,5,6] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,3,8,2,4,7,5] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[5,3,8,1,2,7,4,6] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[5,1,8,3,2,6,4,7] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[5,7,3,1,2,6,4,8] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,7,5,4,2,6,3,8] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,2,4,6,3,7] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[1,5,8,4,2,7,3,6] => [1,5,8,2,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,6,2,8,3,7,5] => [1,4,6,2,8,3,7,5] => {{1},{2,4},{3,6},{5,8},{7}} => {{1},{2,8},{3,4},{5,6},{7}}
[5,3,6,1,2,8,4,7] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[1,6,3,2,7,8,4,5] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[1,7,4,5,3,8,6,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,4,1,2,5,8,7] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[6,3,1,4,2,7,5,8] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,3,2,4,5,6,7] => [1,8,2,4,5,6,7,3] => {{1},{2,3,8},{4},{5},{6},{7}} => {{1},{2,3,8},{4},{5},{6},{7}}
[8,6,3,2,4,1,7,5] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,5,3,2,6,7,1,4] => [1,4,2,6,7,3,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[4,2,5,6,7,8,1,3] => [1,3,2,5,6,7,8,4] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,2,3,4,1,7,8,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,6,1,4,3,2,5,7] => [1,4,2,5,7,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,5,1,8,2,4,6] => [1,8,2,4,6,3,7,5] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[4,1,5,2,8,7,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[8,1,2,5,4,6,3,7] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,3,1,6,2,5,4,7] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,7,5,4,2,8,3,6] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,4,6,8,2,7,3,5] => [1,4,6,8,2,7,3,5] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[1,4,7,6,2,8,3,5] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,1,4,7,2,8,3,6] => [1,4,7,2,8,3,6,5] => {{1},{2,4},{3,6,7},{5,8}} => {{1},{2,7},{3,4},{5,6,8}}
[1,7,4,5,2,8,3,6] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,7,5,1,2,8,4,6] => [1,2,8,3,7,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,5,8,2,7,3,6] => [1,5,8,2,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,6,2,8,7,3,5] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[1,4,2,8,6,7,3,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,2,6,4,8,7,5] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,1,7,6,3,4,8,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,4,7,2,6,8,3,5] => [1,4,7,2,6,8,3,5] => {{1},{2,4},{3,7},{5,6,8}} => {{1},{2,6,7},{3,4},{5,8}}
[1,2,3,6,8,5,7,4] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[5,1,4,2,7,8,3,6] => [1,4,2,7,8,3,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[1,4,2,7,6,8,3,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,2,6,8,7,3,5] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,1,2,8,4,6,7,5] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[3,1,2,7,6,4,8,5] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[5,3,7,1,8,2,4,6] => [1,8,2,4,6,3,7,5] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[1,7,4,3,2,5,8,6] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,7,2,1,3,5,6] => [1,3,5,6,2,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[1,8,7,3,4,2,5,6] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,2,7,8,3,6,5] => [1,4,2,7,8,3,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[2,1,8,6,3,4,7,5] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,2,6,8,3,7,5] => [1,4,2,6,8,3,7,5] => {{1},{2,3,4,6},{5,8},{7}} => {{1},{2,3,4,8},{5,6},{7}}
[1,2,3,7,8,5,6,4] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,2,3,7,5,8,6,4] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,2,7,3,8,6,5] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,1,7,2,8,6,4,5] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,2,3,8,7,5,6,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[10,1,2,3,4,5,6,7,8,9] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,1,2,3,4,10,5,6,7,8] => [1,2,3,4,10,5,6,7,8,9] => {{1},{2},{3},{4},{5,6,7,8,9,10}} => {{1},{2},{3},{4},{5,6,7,8,9,10}}
[9,1,10,2,3,4,5,6,7,8] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[10,9,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[5,7,8,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[6,7,8,4,2,5,1,3] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[8,6,3,7,2,1,5,4] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,6,3,8,2,1,5,4] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,8,3,2,1,5,4] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[5,7,8,3,2,1,6,4] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,7,8,4,3,5,6,1] => [1,2,7,8,3,5,6,4] => {{1},{2},{3,5,6,7},{4,8}} => {{1},{2},{3,6,8},{4,5,7}}
[4,7,8,3,2,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,6,3,8,2,1,4,5] => [1,4,5,2,3,8,6,7] => {{1},{2,4},{3,5},{6,7,8}} => {{1},{2,5},{3,4},{6,7,8}}
[8,6,3,7,2,1,4,5] => [1,4,5,2,3,7,6,8] => {{1},{2,4},{3,5},{6,7},{8}} => {{1},{2,5},{3,4},{6,7},{8}}
[5,6,3,8,2,1,4,7] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[3,6,4,8,2,5,1,7] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[3,6,4,7,2,5,1,8] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,6,3,7,2,1,5,8] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,3,2,1,6,5,7] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,4,3,2,1,7,5,8] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,3,2,7,1,6,8] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,4,2,8,6,1,7] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,8,5,7] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,4,3,2,1,8,5,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,3,2,1,7,5,6] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,3,2,1,7,6,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,3,2,1,8,6,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,8,7,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,3,2,8,1,6,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,4,2,7,6,1,3] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[7,5,4,2,8,6,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,5,4,2,8,7,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,5,4,2,6,7,1,3] => [1,3,2,6,7,4,5,8] => {{1},{2,3},{4,6},{5,7},{8}} => {{1},{2,3},{4,7},{5,6},{8}}
[8,5,3,2,6,1,7,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[7,5,3,2,6,1,8,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,6,4,7,2,8,1,5] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[4,5,3,2,7,1,8,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,3,2,1,6,8,5] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[8,4,3,2,1,6,7,5] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[7,4,3,2,1,5,8,6] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,2,1,5,8,7] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,4,2,6,8,1,7] => [1,7,2,6,8,3,5,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,4,1,2,8,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,1,7,8,5,6,3,4] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,3,7,5,1,4,2] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[5,7,3,8,1,6,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,6,4,8,5,1,7] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,2,5,8,4,6,1,7] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,4,1,7,6,8] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[4,2,1,5,7,3,6,8] => [1,5,7,2,3,6,8,4] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,2,5,8,3,1,6,7] => [1,6,7,2,5,8,3,4] => {{1},{2,4,6,8},{3,7},{5}} => {{1},{2,6,7},{3,4,8},{5}}
[3,1,5,4,2,8,6,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,3,8,5,2,1,6,7] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,3,5,2,1,6,8] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,2,7,5,1,6,8] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,2,5,1,7,8] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,6,3,2,5,1,7,8] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[4,6,7,1,3,2,5,8] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,5,1,3,7,2,6,8] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[3,5,1,4,2,7,6,8] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,2,1,4,3,7,8,6] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[5,3,1,4,2,7,6,8] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,6,1,5,2,7,8] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,3,1,5,2,7,8] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[5,3,6,4,1,2,7,8] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[6,3,4,1,2,7,5,8] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,4,1,3,7,8,5] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,6,4,1,2,7,5,8] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,6,3,1,7,2,5,8] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,7,1,3,4,8] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,2,7,3,1,6,8] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,7,2,3,1,5,8] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,1,7,3,5,8] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[3,2,6,1,4,7,5,8] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[3,6,2,1,4,7,5,8] => [1,4,7,2,3,6,5,8] => {{1},{2,4},{3,5,7},{6},{8}} => {{1},{2,5,7},{3,4},{6},{8}}
[3,5,2,7,4,6,1,8] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,7,2,4,8,5,1,6] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[7,2,1,4,6,3,8,5] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,6,2,1,5,7,4,8] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[6,3,2,1,5,7,4,8] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,1,5,3,7,8] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,2,6,1,5,3,7,8] => [1,5,2,6,3,7,8,4] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,2,1,7,5,3,6,8] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[7,4,1,5,6,2,3,8] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,1,5,2,6,4,8] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[7,2,1,5,3,6,8,4] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,1,2,7,4,8] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,4,5,1,7,2,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,5,1,2,7,4,8] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,2,1,4,7,8,3] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,3,1,4,7,2,8] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,3,1,8,5,4,7,6] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,1,5,8,3,7,6] => [1,5,8,2,4,3,7,6] => {{1},{2,4,5},{3,6,8},{7}} => {{1},{2,5},{3,4,6,8},{7}}
[2,4,1,5,3,8,7,6] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[3,4,5,1,2,8,7,6] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,5,1,8,2,7,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,4,5,3,2,7,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,8,5,3,1,7,6] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,4,5,8,2,1,7,6] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,5,2,8,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,4,6,2,1,7,5,8] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[3,5,6,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[3,5,6,2,7,1,8,4] => [1,8,2,7,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,2,7,8,1,4] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,2,8,7,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,4,6,8,2,7,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,4,8,6,3,7,1,5] => [1,5,2,4,8,3,7,6] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[1,8,4,6,3,7,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,2,8,7,5,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[3,5,6,2,7,8,4,1] => [1,2,7,8,3,5,6,4] => {{1},{2},{3,5,6,7},{4,8}} => {{1},{2},{3,6,8},{4,5,7}}
[3,5,6,2,7,4,1,8] => [1,8,2,7,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,8,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,6,8,7,2,4,1] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[2,5,8,6,7,3,4,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,8,5,6,7,3,4,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,6,7,3,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,5,8,6,7,3,1,4] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,2,1,8,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,1,8,7,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,1,6,8,7,3,5] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,1,8,6,7,4,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,3,2,6,7,5,4] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,1,6,7,8,4,3] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[3,4,6,1,8,7,5,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,6,8,1,7,5,2] => [1,7,2,3,4,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,4,8,6,1,7,5,3] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,8,4,6,2,7,5,3] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[1,8,5,6,7,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,5,8,6,7,1,4,3] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,8,1,3,2] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[4,5,6,7,1,3,8,2] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,6,7,1,3,2,8] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,5,6,7,3,1,8,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,8,7,4,1,2] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,5,8,6,7,4,1,3] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,8,5,6,7,4,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,6,7,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,8,6,7,4,3,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[8,2,5,3,7,1,6,4] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,4,3,7,1,6,5] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[5,8,2,4,3,7,1,6] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[4,2,5,6,1,8,3,7] => [1,8,2,5,6,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,1,5,7,3,2,4,8] => [1,5,7,2,4,8,3,6] => {{1},{2,4,5},{3,7},{6,8}} => {{1},{2,5},{3,4,8},{6,7}}
[3,8,2,4,7,1,5,6] => [1,5,6,2,4,7,3,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[4,3,5,6,7,1,8,2] => [1,8,2,3,5,6,7,4] => {{1},{2,3,4,8},{5},{6},{7}} => {{1},{2,3,4,8},{5},{6},{7}}
[3,7,1,5,8,2,4,6] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[7,3,2,4,6,1,5,8] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[3,2,5,1,7,4,6,8] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,2,5,1,8,4,6,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,7,8,4,6] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[7,8,3,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[6,1,5,7,8,3,2,4] => [1,5,7,8,2,4,3,6] => {{1},{2,5},{3,7},{4,6,8}} => {{1},{2,6,7},{3,8},{4,5}}
[4,2,5,6,1,7,8,3] => [1,7,8,2,5,6,3,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[5,7,6,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,8,6,1,7,3,4,2] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,3,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[3,2,5,1,8,7,4,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,6,4,7,8] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,2,4,1,8,7,5,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,5,1,6,8,7,4] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,8,6,5,1,7,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,1,7,8,4,2,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,6,7,8,4] => [1,6,7,8,2,5,3,4] => {{1},{2,5,6},{3,7},{4,8}} => {{1},{2,6},{3,8},{4,5,7}}
[3,2,4,1,8,5,6,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,2,4,1,7,5,6,8] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,2,4,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,8,4,7,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,5,1,7,4,2,3,8] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,2,3,7,5,1,6] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[4,2,6,1,8,3,7,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,2,6,1,8,3,7,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,2,6,1,8,4,7,3] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[7,4,2,3,8,5,1,6] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,5,1,6,4,2,3,7] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[7,5,1,6,4,2,3,8] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,2,5,1,7,6,4,8] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,8,6,4,7] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,3,2,4,8,6,1,5] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,6,1,5,7,3,2,4] => [1,5,7,2,4,3,6,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[4,2,6,1,8,5,7,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[8,5,6,1,7,3,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,6,8,5,1,7,4,2] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[8,5,1,6,7,4,2,3] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[3,2,5,1,8,6,7,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,5,1,7,8,6,4] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[7,8,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,8,5,1,7,6,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,5,1,6,4,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,2,5,1,8,7,6,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,3,1,8,4,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,6,1,7,5,3,8] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,7,4,1,6,3,8] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[5,4,7,3,6,1,8,2] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,4,7,8,3,1,6,2] => [1,6,2,3,4,7,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,8,5,1,7,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,4,3,6,1,7,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,4,8,3,6,1,7,2] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,4,6,1,7,3,8] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,2,5,8,1,6,7,4] => [1,6,7,2,5,8,3,4] => {{1},{2,4,6,8},{3,7},{5}} => {{1},{2,6,7},{3,4,8},{5}}
[2,5,4,6,8,1,7,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,2,8,4,1,6,7,3] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[4,6,2,1,8,5,7,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,4,1,7,5,8,6,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,1,7,5,3,8,6] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[2,6,4,1,8,5,3,7] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[5,4,8,2,1,6,3,7] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[3,2,5,6,1,8,4,7] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,8,1,6,4,7] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[3,2,7,1,5,4,8,6] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,2,7,1,5,8,6,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[4,8,3,2,6,7,1,5] => [1,5,2,6,7,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,2,6,7,8,1,5] => [1,5,2,6,7,8,3,4] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,3,7,2,6,8,1,5] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,3,7,8,2,6,1,5] => [1,5,2,6,3,7,8,4] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,5,7,4,8,1,6,3] => [1,6,2,5,7,3,4,8] => {{1},{2,3,6},{4,5,7},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[3,2,5,7,1,6,4,8] => [1,6,2,5,7,3,4,8] => {{1},{2,3,6},{4,5,7},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[6,3,2,7,1,5,4,8] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,3,2,7,1,5,8,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[6,3,2,7,8,1,5,4] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,5,2,1,7,8,4,3] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,5,3,8,6,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,7,1,4,8,5] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[6,3,2,1,4,7,8,5] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,1,4,7,5,8] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,8,4,2,1,7,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,4,1,7,3,8,6,5] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[3,2,7,1,4,8,6,5] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[3,5,8,2,1,7,4,6] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[3,5,2,8,1,7,4,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,2,8,1,4,7,5] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,2,1,4,7,5,8,6] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,3,2,1,8,4,6,7] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[4,8,3,2,1,5,6,7] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[4,3,8,2,1,5,6,7] => [1,5,6,7,2,3,8,4] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[1,9,8,7,6,5,4,3,2] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[8,7,6,4,5,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,9,8,7,5,6,4,3,2] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,10,9,8,7,6,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[10,9,8,7,6,5,4,3,2,1,11] => [1,11,2,3,4,5,6,7,8,9,10] => {{1},{2,3,4,5,6,7,8,9,10,11}} => {{1},{2,3,4,5,6,7,8,9,10,11}}
[9,8,7,5,6,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[1,10,9,8,6,7,5,4,3,2] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[1,11,10,9,8,7,6,5,4,3,2] => [1,11,2,3,4,5,6,7,8,9,10] => {{1},{2,3,4,5,6,7,8,9,10,11}} => {{1},{2,3,4,5,6,7,8,9,10,11}}
[6,2,3,1,5,4,8,7] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[8,4,5,2,3,1,7,6] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,7,2,5,3,4,1] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[8,2,5,3,4,1,7,6] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,2,5,3,4,1,8,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,5,2,4,3,8,7] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[6,4,5,1,3,2,8,7] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,1,5,3,4,2,8,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,3,5,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,5,2,4,1,7,6] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,3,7,2,4,1,6,5] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,3,5,1,4,2,7,6] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,5,3,4,2,7,6] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,4,5,1,3,2,7,6] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[8,6,7,4,5,1,3,2] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,6,7,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,6,7,3,5,1,4,2] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[8,3,7,5,6,1,4,2] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[8,3,7,4,6,2,5,1] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,3,7,4,6,1,5,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,7,1,6,4,5,2] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,1,7,3,6,4,5,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,7,5,6,3,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,8,4,7,5,6,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,7,3,4,2,6,5] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,1,7,3,6,2,5,4] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,3,7,1,6,2,5,4] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,7,3,6,4,5,1] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,2,7,3,6,1,5,4] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,2,7,1,6,3,5,4] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[8,1,7,2,4,3,6,5] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[8,1,3,2,7,4,6,5] => [1,3,2,7,4,6,5,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[8,1,5,2,4,3,7,6] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[8,2,7,1,4,3,6,5] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,2,7,3,4,1,6,5] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,7,5,6,3,4,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,4,7,5,6,2,3,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[8,4,7,2,3,1,6,5] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,3,1,7,4,6,5] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,2,3,1,5,4,7,6] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[4,2,3,1,8,5,7,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,3,2,8,6,7,5] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,6,7,2,3,1,5,4] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,2,3,1,7,5,6,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,7,2,6,1,4,3] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,2,7,5,6,1,4,3] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,6,7,2,5,1,4,3] => [1,4,2,5,3,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,6,7,1,5,2,4,3] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[8,6,7,1,3,2,5,4] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[2,1,8,6,7,3,5,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,1,3,2,7,5,6,4] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[8,1,7,5,6,2,4,3] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[8,1,7,2,6,4,5,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,2,7,1,6,4,5,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,7,4,6,1,5,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,4,7,2,6,1,5,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,4,7,1,6,2,5,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,1,7,4,6,2,5,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,7,1,6,2,4,3] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[2,1,8,5,7,3,6,4] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,7,1,6,3,4,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,4,7,3,6,1,5,2] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,4,8,3,6,1,7,5] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[4,5,8,6,3,2,7,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,7,2,8,4,1,5,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,6,2,8,4,5,7,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,6,1,8,4,5,7,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,8,4,6,1,5,7,3] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,1,8,4,5,7,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,1,6,8,4,5,7,2] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,3,6,8,4,5,7,1] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[6,3,7,8,4,1,5,2] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,5,7,8,2,4,6,3] => [1,5,7,8,2,4,6,3] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[5,1,7,8,2,4,6,3] => [1,7,8,2,4,6,3,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,6,7,8,4,2,5,1] => [1,2,5,3,6,7,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,6,1,8,4,2,5,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,3,7,1,6,5,4] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,8,7,3,6,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,2,1,8,4,6,5,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,2,7,8,4,6,5,1] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,2,7,8,1,4,6,3] => [1,4,6,2,7,8,3,5] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[1,2,7,8,5,4,6,3] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,2,1,3,8,5,6,7] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,5,8,3,4,6,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[6,2,8,5,4,3,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[2,8,4,5,3,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,4,8,5,2,3,1,7] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,3,5,8,2,4,6,1] => [1,2,4,6,3,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[4,3,1,2,8,5,6,7] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,2,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,1,8,3,4,6,2] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,7,5,8,3,4,6,2] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,6,8,5,4,3,2,7] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,8,5,1,3,2,7] => [1,3,2,7,4,6,8,5] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[5,6,8,1,4,3,2,7] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,5,8,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[2,4,8,3,6,5,1,7] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[4,1,8,3,5,6,2,7] => [1,8,2,7,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,8,4,1,3,2,7] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[4,6,8,1,5,3,2,7] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,6,8,4,5,3,2,7] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,3,8,4,6,5,1] => [1,2,7,3,8,4,6,5] => {{1},{2},{3,4,6,7},{5,8}} => {{1},{2},{3,4,7},{5,6,8}}
[7,1,3,8,4,6,5,2] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,8,4,3,6,1,2] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[2,8,7,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,4,3,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,5,8,4,2,3,1,7] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,3,2,8,5,6,7] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[1,4,3,2,8,5,6,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,2,8,5,4,6,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[6,4,8,2,5,3,1,7] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,3,4,5,1,6,7] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,2,8,4,5,3,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,2,3,8,5,4,6,1] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,2,3,1,8,5,6,7] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,4,8,5,6,7] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,1,3,2,4,8,6,7] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[2,8,1,5,3,4,7,6] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[1,2,8,4,5,3,7,6] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[1,8,4,2,5,3,6,7] => [1,8,2,5,3,6,7,4] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[1,2,8,5,4,3,6,7] => [1,2,8,3,6,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,5,4,3,8,6,7] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,7,4,8,5,3,6] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,5,2,7,8,4,3,6] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,2,7,4,8,3,6] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,3,5,1,4,7,2,6] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[2,8,1,5,4,7,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[1,2,8,5,7,4,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,8,1,4,3,7,6,5] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,8,7,4,3,5] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,4,1,2,8,7,3,5] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,6,4,8,1,7,2,5] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[7,6,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,6,2,8,4,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[6,7,1,4,2,8,3,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,8,1,5,2,4,6] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,1,2,8,5,3,4,6] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[1,7,2,8,4,5,3,6] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[1,4,2,7,8,5,3,6] => [1,4,2,7,8,3,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,1,2,8,4,3,7,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[6,4,1,2,8,3,7,5] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[7,6,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[6,7,1,3,2,4,8,5] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[1,2,7,3,5,8,4,6] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[5,8,1,3,7,2,4,6] => [1,3,7,2,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,2,5,8,7,3,4,6] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,2,5,8,3,7,4,6] => [1,2,5,8,3,7,4,6] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[2,8,1,7,3,5,4,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,8,1,7,3,6,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,8,1,7,4,3,6,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,1,2,8,4,3,6,5] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,8,4,7,5,3,6] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[1,2,8,7,4,5,3,6] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,3,7,1,5,2,4,6] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[3,8,6,1,4,7,2,5] => [1,4,7,2,5,3,8,6] => {{1},{2,4},{3,6,7,8},{5}} => {{1},{2,6,7,8},{3,4},{5}}
[8,6,1,4,2,7,3,5] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,6,2,7,4,3,5] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[7,1,2,8,6,4,3,5] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[7,4,1,2,8,6,3,5] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,7,4,8,1,6,2,5] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,4,8,7,1,6,2,5] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,2,8,1,7,6,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,7,6,4,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,3,4,1,5,2,6] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,3,4,1,6,2,5] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,8,3,4,1,7,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,7,3,4,1,8,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,4,1,8,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,8,3,4,1,7,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[5,8,3,4,1,6,2,7] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,3,4,1,5,2,7] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,7,3,4,1,5,2,8] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,7,3,4,1,6,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,8,3,4,1,7] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,6,2,7,3,4,1,8] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,8,3,5,1,7] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,3,5,1,6,2,8] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,8,3,5,1,6,2,7] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[4,8,3,5,1,7,2,6] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,7,3,5,1,8,2,6] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,2,3,1,7,4,8] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,6,2,4,1,8,3,7] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,6,2,4,1,7,3,8] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[4,6,2,5,1,7,3,8] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,6,2,5,1,8,3,7] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,1,8,3,7,2,6] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[4,5,1,7,3,8,2,6] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,7,3,8,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,6,2,7,3,8,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,6,2,7,4,8,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[5,6,3,8,4,7,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,2,8,4,7,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[5,6,2,8,3,7,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,6,2,8,3,7,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,5,1,7,3,6,2,8] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,5,1,8,3,6,2,7] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[9,2,1,3,4,5,6,7,8] => [1,3,4,5,6,7,8,2,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[10,2,1,3,4,5,6,7,8,9] => [1,3,4,5,6,7,8,9,2,10] => {{1},{2,3,4,5,6,7,8,9},{10}} => {{1},{2,3,4,5,6,7,8,9},{10}}
[4,2,3,5,6,7,8,9,1] => [1,2,3,5,6,7,8,9,4] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[3,2,4,5,6,7,8,9,10,1] => [1,2,4,5,6,7,8,9,10,3] => {{1},{2},{3,4,5,6,7,8,9,10}} => {{1},{2},{3,4,5,6,7,8,9,10}}
[6,5,3,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[4,6,3,5,2,1,8,7] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,7,3,5,2,4,1,6] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[6,8,2,4,5,7,3,1] => [1,2,4,5,7,3,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,7,2,4,5,3,1,6] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[3,6,1,4,5,2,8,7] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[8,3,7,4,5,2,1,6] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[6,3,8,4,5,7,2,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[2,8,7,4,3,6,1,5] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[8,1,7,4,3,6,2,5] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,7,3,5,1,4,2,6] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,1,6,8,5,7,4,3] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[5,1,8,4,7,6,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,8,1,5,6,7,2] => [1,5,6,7,2,3,8,4] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[4,8,1,3,5,6,7,2] => [1,3,5,6,7,2,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,7,4,1,6,3,2] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,8,3,6,1,4,7,2] => [1,4,7,2,3,6,5,8] => {{1},{2,4},{3,5,7},{6},{8}} => {{1},{2,5,7},{3,4},{6},{8}}
[4,8,3,6,1,2,7,5] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,8,7,4,1,6,2,5] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,1,2,5,6,7,4] => [1,2,5,6,7,3,8,4] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,7,1,4,2,6,3,5] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,6,3,1,2,4,7,5] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,1,7,4,5,2,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,2,4,1,6,3,5] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[8,6,3,2,1,4,7,5] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[5,8,3,6,2,1,7,4] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,6,8,4,5,7,1,3] => [1,3,2,6,8,4,5,7] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[6,1,8,4,5,7,2,3] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,8,3,5,1,7,2,4] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,1,5,8,3,6,7,4] => [1,5,8,2,3,6,7,4] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[5,8,3,6,1,2,7,4] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,1,8,2,5,6,7,3] => [1,8,2,5,6,7,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,8,1,5,6,7,3] => [1,5,6,7,2,4,8,3] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[4,8,2,1,5,6,7,3] => [1,5,6,7,2,3,4,8] => {{1},{2,5},{3,6},{4,7},{8}} => {{1},{2,7},{3,6},{4,5},{8}}
[5,8,1,4,7,6,2,3] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[5,8,3,1,6,2,7,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,5,3,8,6,1,7,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,1,8,5,6,7,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,7,6,2,3,8,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[1,5,7,3,6,8,4,2] => [1,5,7,2,3,6,8,4] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[8,4,3,7,6,1,5,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,7,2,3,5,4,8,1] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[5,2,7,3,6,4,8,1] => [1,2,7,3,6,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,3,4,7,6,1,5,2] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[3,1,4,7,6,8,5,2] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[4,1,3,7,6,8,5,2] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,7,3,6,8,4,2] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[6,7,1,3,5,8,4,2] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,8,7,3,6,1,4,2] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[4,8,3,7,6,1,5,2] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,4,7,6,1,5,2] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,1,4,7,2,6,5,3] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,1,3,2,7,6,5,4] => [1,3,2,7,4,5,6,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[2,8,3,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[3,8,2,1,7,6,5,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,1,2,8,5,4,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,2,3,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,2,1,7,6,5,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,4,1,7,6,8,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,2,7,8,6,5,3] => [1,4,2,7,8,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,2,7,1,6,5,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,7,2,1,6,4,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,5,7,2,8,6,4,3] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,7,1,6,8,4,2] => [1,6,8,2,3,5,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,7,4,5,8,1,3,2] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[8,4,1,7,2,6,5,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[1,4,8,7,2,6,5,3] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,4,8,7,6,1,5,2] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[4,3,8,7,6,1,5,2] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,7,8,6,1,4,2] => [1,4,2,3,7,8,5,6] => {{1},{2,3,4},{5,7},{6,8}} => {{1},{2,3,4},{5,8},{6,7}}
[6,7,2,8,1,5,4,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,2,7,8,1,6,4,3] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[4,2,8,7,1,6,5,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,1,7,6,5,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[8,3,1,2,7,6,5,4] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,2,1,3,7,6,5,4] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,2,8,3,7,6,5,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,1,8,7,2,6,5,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,7,1,8,2,5,4,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,7,1,2,6,4,3] => [1,2,6,3,4,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[4,8,1,7,2,6,5,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[3,8,1,2,7,6,5,4] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,8,1,3,7,6,5,4] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,2,3,7,6,5,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[3,1,4,5,6,7,8,9,10,2] => [1,4,5,6,7,8,9,10,2,3] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[6,7,1,8,4,5,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,1,5,8,3,6,4] => [1,5,8,2,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,5,1,8,3,7,4] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,6,5,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[4,6,5,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,6,4,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,4,5,7,6,2,3] => [1,4,5,7,2,3,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,4,5,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,6,1,8,7,2,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,5,6,1,8,7,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,1,8,2,7,4] => [1,8,2,7,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,6,1,8,3,7,4] => [1,8,2,5,6,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,6,1,3,8,7,5] => [1,3,8,2,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,6,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[4,3,6,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,3,6,1,8,2,7,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[7,3,1,5,8,2,6,4] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,3,5,7,2,6,4] => [1,3,5,7,2,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[7,2,1,5,8,3,6,4] => [1,5,8,2,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,2,5,1,8,3,7,4] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,6,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[4,2,5,3,1,8,7,6] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,4,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,1,4,3,8,6,5] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[7,3,1,4,2,8,6,5] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,4,1,2,8,7,5] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,3,1,2,8,7,5] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[3,6,4,1,2,8,7,5] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,6,4,1,3,8,7,5] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,1,4,3,8,6,5] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,7,1,4,2,8,6,5] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,1,3,2,8,6,5] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[8,1,6,7,2,3,5,4] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,7,1,2,3,8,6,5] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,7,1,3,4,8,6,5] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,3,1,4,8,7,5] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,6,2,1,4,8,7,5] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[8,1,5,2,7,3,6,4] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,1,4,2,3,7,6,5] => [1,4,2,3,7,5,6,8] => {{1},{2,3,4},{5,6,7},{8}} => {{1},{2,3,4},{5,6,7},{8}}
[7,4,1,2,3,8,6,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,2,1,3,8,7,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,2,3,1,8,7,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,4,1,8,7,6] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,2,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,3,1,2,4,8,6,5] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,1,2,3,4,7,6,5] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[7,2,1,3,4,8,6,5] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,3,1,4,8,7,5] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,4,3,6,5,8,1,7] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[2,4,6,3,5,8,7,1] => [1,2,4,6,3,5,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[2,4,6,3,5,8,1,7] => [1,7,2,4,6,3,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,4,6,3,5,1,8,7] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,6,3,1,5,8,7] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[2,4,1,6,5,3,8,7] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,2,6,5,3,1,8,7] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,2,6,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,5,1,8,7,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,2,6,5,8,1,7,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[4,2,6,5,8,1,3,7] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,2,6,5,8,3,1,7] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[2,4,6,1,5,8,3,7] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[2,4,1,6,5,8,3,7] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[2,4,6,1,5,8,7,3] => [1,5,8,2,4,6,3,7] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[4,2,6,5,3,8,7,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[2,6,4,3,8,7,1,5] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,6,4,3,8,7,5,1] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,2,6,8,5,3,7,1] => [1,2,6,8,3,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,6,8,1,5,7,3] => [1,5,7,2,4,6,8,3] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[2,4,6,1,8,5,7,3] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,1,6,8,5,7,3] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,6,8,5,7,3] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[2,1,4,6,8,5,3,7] => [1,4,6,8,2,3,7,5] => {{1},{2,4,5,8},{3,6},{7}} => {{1},{2,5,6},{3,4,8},{7}}
[2,4,1,6,8,5,3,7] => [1,6,8,2,4,3,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,6,1,8,5,3,7] => [1,8,2,4,6,3,7,5] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[2,4,6,8,1,5,3,7] => [1,5,2,4,6,8,3,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[4,2,6,8,5,1,3,7] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[2,4,6,8,3,5,7,1] => [1,2,4,6,8,3,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[2,4,6,8,3,5,1,7] => [1,7,2,4,6,8,3,5] => {{1},{2,3,7},{4},{5,6,8}} => {{1},{2,3,6,7},{4},{5,8}}
[2,4,6,8,3,1,5,7] => [1,5,7,2,4,6,8,3] => {{1},{2,4,5},{3,7,8},{6}} => {{1},{2,5},{3,4,7,8},{6}}
[2,4,6,3,1,8,5,7] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,6,3,8,5,7,1] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,3,6,8,5,7,1] => [1,2,4,3,6,8,5,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[2,4,3,6,8,1,5,7] => [1,5,7,2,4,3,6,8] => {{1},{2,4,5},{3,6,7},{8}} => {{1},{2,5},{3,4,6,7},{8}}
[2,4,3,6,1,8,5,7] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[2,4,3,1,6,8,5,7] => [1,6,8,2,4,3,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,3,6,1,8,7,5] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[4,6,5,2,8,7,3,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[4,6,5,2,8,7,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[4,6,2,5,8,7,1,3] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,6,2,5,8,7,3,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[2,4,6,3,1,8,7,5] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,1,6,3,8,7,5] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,4,6,3,8,7,5] => [1,4,6,2,3,8,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,1,4,6,8,3,7,5] => [1,4,6,8,2,3,7,5] => {{1},{2,4,5,8},{3,6},{7}} => {{1},{2,5,6},{3,4,8},{7}}
[2,4,1,6,8,3,7,5] => [1,6,8,2,4,3,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,6,1,8,3,7,5] => [1,8,2,4,6,3,7,5] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[2,4,6,8,3,1,7,5] => [1,7,2,4,6,8,3,5] => {{1},{2,3,7},{4},{5,6,8}} => {{1},{2,3,6,7},{4},{5,8}}
[4,6,2,8,5,7,3,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[4,6,2,8,5,7,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[6,2,4,8,7,1,3,5] => [1,3,5,2,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[6,4,2,8,7,5,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,6,4,8,1,7,5,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,6,4,1,8,7,5,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,6,1,4,8,7,5,3] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,1,6,4,8,7,5,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,1,4,8,7,3,5] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,6,4,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,4,8,1,7,3,5] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,4,2,8,7,5,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,2,4,8,7,3,5,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,4,8,7,3,1,5] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,6,4,7,3,8,2,5] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,7,4,5,8,2,6] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,7,6,3,4,8,2,5] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,6,3,7,2,4,5] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[6,1,7,3,4,8,2,5] => [1,7,2,5,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,4,5,8,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,1,7,5,8,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[2,8,6,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[6,8,1,3,7,2,4,5] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,2,1,7,3,4,6] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,7,2,1,8,3,4,6] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,7,1,3,8,2,4,5] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,2,4,8,3,6,7] => [1,2,4,8,3,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[4,3,6,1,5,8,2,7] => [1,5,8,2,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,1,4,5,8,3,7] => [1,4,5,8,2,6,3,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,5,1,3,4,8,2,7] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,2,4,8,3,5,7] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[8,5,1,3,7,2,4,6] => [1,3,7,2,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[1,5,3,2,8,4,6,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,4,2,1,5,8,3,7] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,4,1,8,6,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,5,2,1,8,6,7] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,6,4,8,7,1,3,5] => [1,3,5,2,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,7,8,3,6,1,4,5] => [1,4,5,2,7,8,3,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[4,3,2,8,7,1,5,6] => [1,5,6,2,8,3,4,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[5,2,4,8,7,1,3,6] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,8,3,7,1,4,5] => [1,4,5,2,8,3,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[5,1,4,8,7,2,3,6] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[4,8,2,5,1,3,7,6] => [1,3,7,2,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,7,2,5,1,3,8,6] => [1,3,8,2,5,4,7,6] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[3,7,2,1,5,4,8,6] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,2,1,5,4,7,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[8,3,2,1,5,4,6,7] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,3,2,1,6,4,5,7] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,4,2,5,1,6,3,7] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,2,1,5,6,4,7] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,8,2,1,4,5,7,6] => [1,4,5,7,2,3,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,2,1,4,5,8,6] => [1,4,5,8,2,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,2,7,1,4,6,8,5] => [1,4,6,8,2,7,3,5] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[3,2,8,1,4,6,7,5] => [1,4,6,7,2,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,1,4,7,6,5] => [1,4,7,2,8,3,5,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,8,2,1,4,7,5,6] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[3,8,2,1,5,7,4,6] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,8,2,5,1,7,3,6] => [1,7,2,5,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[4,7,2,5,1,8,3,6] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,7,2,1,5,8,4,6] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,7,5,8,6,4] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,7,1,6,8,4,5] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,7,6,1,8,3,5] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,3,7,6,8,1,2,5] => [1,2,5,3,7,4,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[4,3,8,6,7,1,2,5] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,2,8,6,1,7,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,8,1,6,7,4,5] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[3,2,1,8,7,5,6,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,2,1,7,4,5,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,7,1,6,4,8,5] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,8,6,1,3,7,5] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,7,8,1,3,6,5] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,8,1,3,7,5] => [1,3,7,2,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[4,2,6,7,1,3,8,5] => [1,3,8,2,6,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,6,1,8,4,7,5] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[4,3,7,8,6,1,2,5] => [1,2,5,3,7,8,4,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[3,2,7,1,8,6,4,5] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,6,8,5,7,4] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[3,2,6,1,8,7,4,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[4,2,6,8,1,7,3,5] => [1,7,2,6,8,3,5,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,8,7,5,1,2] => [1,2,3,4,6,8,5,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,3,6,4,8,7,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,4,6,2,7,8,5,3] => [1,4,6,2,7,8,3,5] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,1,8,5,4,2,6,7] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,7,5,4,8,6,3] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[6,3,7,5,4,8,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[7,3,8,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[3,8,7,5,4,6,1,2] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,3,6,7,8,5,1,2] => [1,2,3,6,7,8,4,5] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,5,6,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,6,8,5,4,7,1,2] => [1,2,3,6,8,4,7,5] => {{1},{2},{3},{4,6},{5,8},{7}} => {{1},{2},{3},{4,8},{5,6},{7}}
[6,8,3,5,4,7,1,2] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[7,6,3,5,4,8,1,2] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[1,6,2,5,4,8,7,3] => [1,6,2,5,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[1,8,2,5,7,3,6,4] => [1,8,2,5,7,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,2,1,5,4,8,7,3] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[4,1,6,2,8,7,5,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,3,1,4,2,6,5] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[4,3,6,1,8,2,7,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[2,3,8,5,4,1,6,7] => [1,6,7,2,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,5,2,3,7,6] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,1,6,4,3,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,1,6,4,3,2,7] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,1,5,7,4,3,2,8] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,8,6,4,3,2,7] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,4,6,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[7,8,4,1,5,3,2,6] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,5,1,6,3,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[1,6,8,7,4,3,2,5] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,8,1,7,4,3,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,1,7,4,3,2,8] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,1,7,6,4,3,2,8] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,1,7,8,4,3,2,5] => [1,7,8,2,5,3,4,6] => {{1},{2,4,7},{3,6,8},{5}} => {{1},{2,8},{3,4,6,7},{5}}
[7,1,8,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,7,6,4,3,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,5,6,3,8,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,1,6,5,3,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,8,2,1,4,5,6,3] => [1,4,5,6,2,3,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[2,8,1,5,4,6,7,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[7,2,1,5,4,6,8,3] => [1,5,2,3,4,6,8,7] => {{1},{2,3,4,5},{6},{7,8}} => {{1},{2,3,4,5},{6},{7,8}}
[1,2,8,5,6,3,7,4] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[4,2,1,5,6,3,7,8] => [1,5,6,2,3,7,8,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,1,5,7,2,8] => [1,5,7,2,8,3,6,4] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[5,1,6,3,7,8,2,4] => [1,6,2,4,3,7,8,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,6,3,7,1,8,5] => [1,8,2,4,6,3,7,5] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[1,3,6,4,8,7,2,5] => [1,3,6,2,5,4,8,7] => {{1},{2,3,4,6},{5},{7,8}} => {{1},{2,3,4,6},{5},{7,8}}
[5,4,6,1,3,7,2,8] => [1,3,7,2,8,4,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,4,1,5,2,3,7,8] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,1,7,5,2,3,8,6] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,4,5,8,3,7,6] => [1,2,4,5,8,3,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[7,2,3,5,4,1,8,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,8,3,5,4,1,7,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,3,8,1,7,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,2,3,4,1,6,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,1,6,4,7,8,2,5] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,8,5,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,1,5,8,4,3,2,6] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,8,7,4,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,5,1,8,4,3,2,7] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,7,1,4,3,2,8] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,5,8,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,8,7,1,4,3,2,6] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,4,7,5,1,3,8,6] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,4,6,1,3,2,5] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[7,8,5,4,1,3,2,6] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[3,5,6,4,1,8,2,7] => [1,8,2,7,3,5,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,4,5,1,3,8,7] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,5,8,4,3,2,7] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,5,1,4,3,2,7] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,6,5,1,4,3,2,8] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,3,4,5,6,9,7,8] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[1,2,3,4,5,8,6,9,7] => [1,2,3,4,5,8,6,9,7] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[1,2,3,4,7,5,8,9,6] => [1,2,3,4,7,5,8,9,6] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[1,2,3,6,4,7,8,9,5] => [1,2,3,6,4,7,8,9,5] => {{1},{2},{3},{4,5,6,7,8,9}} => {{1},{2},{3},{4,5,6,7,8,9}}
[1,2,5,3,6,7,8,9,4] => [1,2,5,3,6,7,8,9,4] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[1,4,2,5,6,7,8,9,3] => [1,4,2,5,6,7,8,9,3] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,9,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9}}
[9,10,1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[8,9,10,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,8,9,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,1,2,3,4,5,6,7] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[7,8,9,10,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,7,8,9,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,7,8,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,1,2,3,4,5,6] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,6,7,8,9,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,6,7,8,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,8,9,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,6,7,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,1,2,3,4,5] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,5,6,7,8,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[8,9,10,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,5,6,7,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,7,8,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,5,6,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,5,1,2,3,4] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,7,8,9,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,7,8,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,4,5,6,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,8,9,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,6,7,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,4,5,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,5,4,1,2,3] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[9,10,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,7,8,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,5,6,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,5,3,4,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[10,9,8,7,6,5,4,3,1,2] => [1,2,3,4,5,6,7,8,9,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
[3,4,6,2,7,1,5,8] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,6,2,5,4,1,7,8] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,2,7,5,4,1,6,8] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,2,8,1,5,7] => [1,5,7,2,8,3,6,4] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[6,1,2,5,4,7,8,3] => [1,2,5,3,4,7,8,6] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[6,2,4,5,1,3,7,8] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,2,8,5,1,3,7,6] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,6,4,1,7,2,8] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,2,1,5,8,3,7,4] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,7,4,8,3,5,2] => [1,6,7,2,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,7,2,5,8,1,3] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[2,7,5,4,1,6,3,8] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,5,4,6,2,8,1,3] => [1,3,2,8,4,6,5,7] => {{1},{2,3},{4,5,7,8},{6}} => {{1},{2,3},{4,5,7,8},{6}}
[1,7,5,4,3,8,6,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,6,3,5,8,7,2] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[1,5,8,4,3,6,7,2] => [1,5,8,2,3,6,7,4] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[5,4,6,2,7,8,1,3] => [1,3,2,7,8,4,6,5] => {{1},{2,3},{4,6,7},{5,8}} => {{1},{2,3},{4,7},{5,6,8}}
[5,6,3,2,7,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[5,6,3,2,7,1,8,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,6,3,2,7,1,4] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,4,1,7,8,5,3,6] => [1,7,8,2,4,3,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,4,1,6,3,8,7] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,6,3,2,1,8,4,7] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,2,8,5,1,6,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,4,6,3,2,1,7,5] => [1,7,2,3,4,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,6,4,3,2,1,7,5] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,6,4,3,2,1,8,5] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,4,3,2,1,6,5] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,4,7,2,1,8,6,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,8,3,2,6,1,4] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,7,3,2,1,6,8,4] => [1,6,8,2,3,4,5,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[5,7,3,2,1,6,4,8] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,2,5,1,8,4] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,8,3,5,2,1,4] => [1,4,2,3,5,6,7,8] => {{1},{2,3,4},{5},{6},{7},{8}} => {{1},{2,3,4},{5},{6},{7},{8}}
[6,2,5,7,8,4,1,3] => [1,3,2,5,7,8,4,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[2,1,5,7,8,6,3,4] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,6,7,2,8,1,4,5] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,3,7,2,8,1,4,5] => [1,4,5,2,8,3,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[3,2,6,1,7,4,5,8] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[3,5,2,1,4,7,6,8] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[7,3,5,2,1,8,4,6] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,5,8,4,1,3,7,6] => [1,3,7,2,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[2,4,1,7,8,3,6,5] => [1,7,8,2,4,3,6,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,7,2,8,6,1,4,5] => [1,4,5,2,8,3,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[3,6,8,2,1,7,4,5] => [1,7,2,3,6,8,4,5] => {{1},{2,3,4,7},{5,6,8}} => {{1},{2,3,4,6,7},{5,8}}
[5,3,8,2,1,4,7,6] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[4,8,7,3,2,1,5,6] => [1,5,6,2,3,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,7,3,2,1,5,6,8] => [1,5,6,8,2,3,4,7] => {{1},{2,5},{3,6},{4,7,8}} => {{1},{2,7,8},{3,6},{4,5}}
[8,4,7,3,2,1,5,6] => [1,5,6,2,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,3,5,2,1,4,7,6] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[7,3,2,8,6,1,4,5] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[3,5,2,1,4,6,8,7] => [1,4,6,8,2,3,5,7] => {{1},{2,4,5,7,8},{3,6}} => {{1},{2,5,6},{3,4,7,8}}
[7,8,6,5,4,3,2,1,9] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,8,9,7,6,5,4,3,2] => [1,8,9,2,3,4,5,6,7] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[8,9,7,6,5,4,3,2,1,10] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[7,6,8,5,4,3,2,1,9] => [1,9,2,3,4,5,6,8,7] => {{1},{2,3,4,5,6,7,9},{8}} => {{1},{2,3,4,5,6,7,9},{8}}
[6,8,7,5,4,3,2,1,9] => [1,9,2,3,4,5,6,8,7] => {{1},{2,3,4,5,6,7,9},{8}} => {{1},{2,3,4,5,6,7,9},{8}}
[1,8,7,9,6,5,4,3,2] => [1,8,2,3,4,5,6,7,9] => {{1},{2,3,4,5,6,7,8},{9}} => {{1},{2,3,4,5,6,7,8},{9}}
[1,7,9,8,6,5,4,3,2] => [1,7,9,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,9,10,8,7,6,5,4,3,2] => [1,9,10,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[7,8,3,5,4,6,1,2] => [1,2,3,5,4,6,7,8] => {{1},{2},{3},{4,5},{6},{7},{8}} => {{1},{2},{3},{4,5},{6},{7},{8}}
[5,4,1,6,3,2,8,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,1,6,2,3,8,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,7,1,6,2,8,3,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,1,6,2,8,4,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,5,1,8,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,5,1,8,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,6,5,1,4,8,7] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[2,3,6,4,1,5,8,7] => [1,5,8,2,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[2,3,6,1,5,4,8,7] => [1,5,2,3,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[2,7,6,1,4,8,5,3] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[2,7,6,1,4,8,3,5] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[7,3,5,1,8,4,2,6] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,1,8,6,4,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,7,6,1,5,8,4,3] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[2,7,6,4,1,8,5,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,6,3,8,5,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,7,6,3,8,4,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,3,6,2,8,4,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,7,6,4,1,8,3,5] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,3,5,1,8,6,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,3,4,8,7,6,1,5] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[2,3,4,8,5,7,1,6] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,5,8,7,2,1] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,3,5,8,7,1,2] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,3,4,8,7,5,6,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[2,3,4,8,7,5,1,6] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,5,4,8,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[7,3,5,6,8,4,1,2] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,3,5,6,8,1,2,4] => [1,2,4,3,5,6,8,7] => {{1},{2},{3,4},{5},{6},{7,8}} => {{1},{2},{3,4},{5},{6},{7,8}}
[6,4,1,5,8,7,2,3] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,1,5,8,7,3,2] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,1,5,8,3,7,2] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,1,6,3,8,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,4,1,5,8,3,2,7] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[7,4,1,5,8,2,3,6] => [1,5,8,2,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,4,1,5,8,2,6,3] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,7,8,2,1,4] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[2,7,6,4,5,8,3,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,7,3,6,1,8,4,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,4,5,8,6,3,7] => [1,4,5,8,2,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,3,5,4,8,6,2,1] => [1,2,3,5,4,8,6,7] => {{1},{2},{3},{4,5},{6,7,8}} => {{1},{2},{3},{4,5},{6,7,8}}
[2,3,4,8,5,6,1,7] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,4,8,7,1,6,5] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,1,7,6,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,3,4,8,1,6,7,5] => [1,6,7,2,3,4,8,5] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,3,4,8,5,1,7,6] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,3,5,4,8,2,7,1] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[7,4,3,5,8,2,1,6] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,1,4,5,8,3,7,6] => [1,4,5,8,2,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,5,4,8,2,1,7] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,3,4,8,5,1,6,7] => [1,6,7,2,3,4,8,5] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[2,3,4,8,1,6,5,7] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,4,8,1,5,7,6] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,2,6,1,5,3,4] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,1,6,2,5,3,4] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[1,8,6,7,2,5,3,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,7,2,6,3,4] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,8,1,7,2,6,3,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[5,8,2,7,1,6,3,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,8,6,7,1,5,3,4] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,8,5,7,1,6,3,4] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,7,5,6,3,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,8,2,7,5,6,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,2,7,4,6,3,5] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,8,1,7,4,6,3,5] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,4,7,1,6,3,5] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[4,8,2,7,1,6,3,5] => [1,6,2,7,3,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[4,8,1,7,2,6,3,5] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,4,7,2,6,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,7,5,6,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,8,4,7,5,6,2,3] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,3,7,5,6,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,8,1,7,5,6,2,4] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[3,8,1,7,4,6,2,5] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,8,3,7,4,6,2,5] => [1,8,2,5,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,3,7,2,6,4,5] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[3,8,1,7,2,6,4,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,2,7,1,6,4,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,8,2,7,4,6,1,5] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[3,8,2,7,5,6,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,8,2,7,5,6,1,3] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[4,8,3,7,5,6,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[3,8,4,7,5,6,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[2,8,4,7,5,6,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[2,8,3,7,5,6,1,4] => [1,4,2,8,3,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,3,7,4,6,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,8,3,7,1,6,4,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,7,3,6,4,5] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,5,2,8,6,4,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,5,1,8,6,2,3,4] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,4,8,6,1,5,2,3] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[7,1,8,4,5,2,6,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,8,1,7,4,2,5,3] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,6,7,4,2,8,5,3] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[1,6,7,3,8,5,2,4] => [1,6,7,2,4,3,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,3,5,6,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,3,8,6,2,5,1,4] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[7,4,2,8,6,1,3,5] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,1,8,4,2,5,6] => [1,8,2,5,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,8,4,1,5,3,6] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[7,2,8,3,5,1,6,4] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[7,2,8,3,4,6,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,2,3,8,5,7,4,1] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[6,2,4,8,5,3,1,7] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,1,4,8,5,2,7] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[2,6,3,7,8,5,4,1] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,6,3,7,8,4,5,1] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,7,3,5,6,8,1] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[3,1,5,4,7,8,2,6] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[5,2,4,8,6,1,3,7] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,2,3,8,4,6,7,1] => [1,2,3,8,4,6,7,5] => {{1},{2},{3},{4,5,8},{6},{7}} => {{1},{2},{3},{4,5,8},{6},{7}}
[4,8,2,3,6,1,7,5] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,3,6,7,2,5] => [1,3,6,7,2,5,4,8] => {{1},{2,3,5,6},{4,7},{8}} => {{1},{2,3,6},{4,5,7},{8}}
[5,3,8,2,4,7,1,6] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[5,4,3,8,1,2,7,6] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,4,2,8,1,3,7,5] => [1,3,7,2,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,8,2,5,1,7,4] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,3,8,1,4,7,2,5] => [1,4,7,2,5,3,8,6] => {{1},{2,4},{3,6,7,8},{5}} => {{1},{2,6,7,8},{3,4},{5}}
[5,8,1,3,6,2,7,4] => [1,3,6,2,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[5,8,1,4,2,6,3,7] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,4,1,2,7,6,3] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,1,2,8,7,3,4] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,5,3,1,4,2,8,7] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,1,6,4,2,7,8] => [1,6,2,7,8,3,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[5,2,6,4,1,7,3,8] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,5,1,7,2,6,3,8] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,6,1,2,8,7,4] => [1,2,8,3,5,6,4,7] => {{1},{2},{3,4,7,8},{5},{6}} => {{1},{2},{3,4,7,8},{5},{6}}
[3,6,2,7,5,1,8,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[3,4,7,2,8,6,1,5] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[3,4,5,8,2,7,1,6] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,4,6,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,2,6,8,1,7,4] => [1,7,2,6,8,3,5,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,5,6,1,3,8,7] => [1,3,8,2,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[4,3,1,2,5,6,8,7] => [1,2,5,6,8,3,4,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,3,6,8,4,7,2,1] => [1,2,3,6,8,4,7,5] => {{1},{2},{3},{4,6},{5,8},{7}} => {{1},{2},{3},{4,8},{5,6},{7}}
[3,7,2,5,4,8,6,1] => [1,2,5,3,7,4,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,2,6,8,4,3,7,1] => [1,2,6,8,3,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,1,6,5,4,8,2,7] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,6,5,8,3,2,7] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,6,8,4,3,2,7] => [1,6,8,2,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,4,7,6,3,2,1] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[5,7,1,8,4,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,7,1,5,4,3,8,6] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[8,2,1,5,4,3,7,6] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,6,7,1,3,2,4] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[8,4,6,1,7,3,2,5] => [1,7,2,5,3,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,7,6,1,4,3,8,5] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,7,8,5,1,3,2,4] => [1,3,2,4,5,6,7,8] => {{1},{2,3},{4},{5},{6},{7},{8}} => {{1},{2,3},{4},{5},{6},{7},{8}}
[5,7,6,8,2,3,4,1] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[5,7,2,8,4,3,6,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,7,6,2,8,3,5,1] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[5,7,3,8,4,6,2,1] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[4,7,3,5,8,6,2,1] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[8,7,6,3,2,5,4,1] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[8,7,3,5,1,6,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[8,2,6,5,1,3,7,4] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,6,5,7,1,2,3] => [1,2,3,4,6,5,7,8] => {{1},{2},{3},{4},{5,6},{7},{8}} => {{1},{2},{3},{4},{5,6},{7},{8}}
[5,7,6,8,4,1,2,3] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[4,7,6,5,8,1,2,3] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[3,7,6,5,1,8,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,2,3,4,5,6,7,9] => [1,2,3,4,5,6,7,9,8] => {{1},{2},{3},{4},{5},{6},{7},{8,9}} => {{1},{2},{3},{4},{5},{6},{7},{8,9}}
[1,9,2,3,4,5,6,7,8] => [1,9,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[9,1,2,3,4,5,6,7,8,10] => [1,2,3,4,5,6,7,8,10,9] => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
[7,8,1,2,3,4,5,6,9] => [1,2,3,4,5,6,9,7,8] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[1,8,9,2,3,4,5,6,7] => [1,8,9,2,3,4,5,6,7] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[1,10,2,3,4,5,6,7,8,9] => [1,10,2,3,4,5,6,7,8,9] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[10,1,2,3,4,5,6,7,8,9,11] => [1,2,3,4,5,6,7,8,9,11,10] => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}} => {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
[8,9,1,2,3,4,5,6,7,10] => [1,2,3,4,5,6,7,10,8,9] => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}} => {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
[7,1,8,2,3,4,5,6,9] => [1,8,2,3,4,5,6,9,7] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[6,8,1,2,3,4,5,7,9] => [1,2,3,4,5,7,9,6,8] => {{1},{2},{3},{4},{5},{6,7,8,9}} => {{1},{2},{3},{4},{5},{6,7,8,9}}
[1,8,2,9,3,4,5,6,7] => [1,8,2,9,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,7,9,2,3,4,5,6,8] => [1,7,9,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[1,9,10,2,3,4,5,6,7,8] => [1,9,10,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[1,11,2,3,4,5,6,7,8,9,10] => [1,11,2,3,4,5,6,7,8,9,10] => {{1},{2,3,4,5,6,7,8,9,10,11}} => {{1},{2,3,4,5,6,7,8,9,10,11}}
[3,6,4,8,7,5,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,6,4,3,8,7,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,6,2,4,7,8,5,3] => [1,6,2,4,7,8,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,6,2,4,8,1,5,7] => [1,5,7,2,4,8,3,6] => {{1},{2,4,5},{3,7},{6,8}} => {{1},{2,5},{3,4,8},{6,7}}
[1,4,7,2,5,8,6,3] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[7,3,8,4,5,6,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,6,8,5,3,7,1,2] => [1,2,3,7,4,6,8,5] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[6,8,5,3,4,7,1,2] => [1,2,3,4,7,5,6,8] => {{1},{2},{3},{4},{5,6,7},{8}} => {{1},{2},{3},{4},{5,6,7},{8}}
[1,6,5,4,2,8,7,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,2,7,3,6,4] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[4,2,7,5,1,8,6,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,8,1,4,2,6,5,3] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,5,1,3,4,2,8,7] => [1,3,4,2,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[4,8,5,3,1,7,2,6] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,4,5,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,3,6,1,4,2,7] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,5,8,6,4,1,3,7] => [1,3,7,2,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[1,4,6,2,5,8,3,7] => [1,4,6,2,5,8,3,7] => {{1},{2,4},{3,6,7,8},{5}} => {{1},{2,6,7,8},{3,4},{5}}
[1,6,8,7,4,2,3,5] => [1,6,8,2,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,7,8,2,4,3,5] => [1,7,8,2,4,3,5,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[7,1,8,6,3,4,2,5] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,1,4,5,6,8,3] => [1,4,5,6,8,2,3,7] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[1,2,8,3,6,5,7,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,6,3,8,5,7,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,6,4,1,7,5,8,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[7,6,5,8,1,4,2,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,8,6,7,3,2,1,4] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[1,6,4,3,7,2,8,5] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,3,4,8,7,1,5] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[7,1,3,4,5,2,8,6] => [1,3,4,5,2,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[1,8,3,5,4,2,7,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[4,1,6,3,8,2,7,5] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,8,2,4,6,3,1,5] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[3,2,6,4,7,8,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[2,8,5,7,4,3,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,5,8,3,4,1,6] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[5,3,8,7,1,2,6,4] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,5,3,8,2,1,7,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,6,7,3,1,8,5] => [1,8,2,4,6,7,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,8,4,6,3,1,2,5] => [1,2,5,3,4,6,7,8] => {{1},{2},{3,4,5},{6},{7},{8}} => {{1},{2},{3,4,5},{6},{7},{8}}
[2,6,4,5,3,8,1,7] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,5,8,4,2,1,7] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,8,4,2,3,1,7] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,5,4,3,1,2,7] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,1,4,2,8,5,7,3] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,8,6,5,3,2,7,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[8,6,5,1,2,4,7,3] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,7,5,8,2,1,4,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[1,7,5,8,2,6,4,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[1,3,8,5,7,6,2,4] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,8,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => {{1},{2},{3,4},{5,6,8},{7}} => {{1},{2},{3,4},{5,6,8},{7}}
[6,8,5,2,1,4,7,3] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[5,1,8,6,2,7,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,8,6,1,7,3,4] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,8,6,5,7,1,2,4] => [1,2,4,3,8,5,7,6] => {{1},{2},{3,4},{5,6,8},{7}} => {{1},{2},{3,4},{5,6,8},{7}}
[5,1,7,6,8,4,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,1,3,7,8,6,2,4] => [1,3,7,8,2,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[7,2,5,8,1,6,4,3] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[3,2,8,5,7,6,1,4] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,2,8,6,1,7,3,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,2,8,6,5,7,3,4] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,2,1,3,6,7,8,5] => [1,3,6,7,8,2,4,5] => {{1},{2,3,6},{4,7},{5,8}} => {{1},{2,3,8},{4,7},{5,6}}
[7,2,6,5,4,1,8,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,1,5,3,4,7,8,2] => [1,5,2,3,4,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[7,5,6,2,4,1,8,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,5,2,6,3,7,1,4] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,6,5,7,3,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[3,5,8,6,2,7,1,4] => [1,4,2,7,3,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,1,6,3,7,2,4] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[1,8,5,6,3,7,2,4] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,7,6,5,4,2,8,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,7,6,1,4,2,8,3] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,1,4,2,6,5,8,3] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,1,7,3,5,6,8,2] => [1,7,2,3,5,6,8,4] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[2,7,4,1,5,6,8,3] => [1,5,6,8,2,7,3,4] => {{1},{2,5},{3,6,7},{4,8}} => {{1},{2,7},{3,6,8},{4,5}}
[5,7,6,4,1,2,8,3] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,7,6,1,5,2,8,3] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[1,7,6,4,5,2,8,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,8,3,6,5,7,2,4] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[3,8,1,6,5,7,2,4] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,1,3,5,7,6,2,4] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[7,8,5,4,1,6,2,3] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,1,5,4,3,7,8,2] => [1,5,2,3,7,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,5,6,4,2,1,8,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,3,2,6,5,7,1,4] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,4,6,2,5,1,8,3] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,4,3,5,7,8,2] => [1,4,2,3,5,7,8,6] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,1,3,4,5,7,8,2] => [1,3,4,5,7,8,2,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,2,6,4,5,1,8,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,4,7,3,6,8,1,2] => [1,2,3,6,8,4,7,5] => {{1},{2},{3},{4,6},{5,8},{7}} => {{1},{2},{3},{4,8},{5,6},{7}}
[3,4,7,8,5,6,1,2] => [1,2,3,4,7,8,5,6] => {{1},{2},{3},{4},{5,7},{6,8}} => {{1},{2},{3},{4},{5,8},{6,7}}
[3,4,7,2,5,1,6,8] => [1,6,8,2,5,3,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,4,7,2,5,8,3,6] => [1,4,7,2,5,8,3,6] => {{1},{2,4},{3,7},{5},{6,8}} => {{1},{2,8},{3,4},{5},{6,7}}
[6,8,3,4,5,7,1,2] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[6,3,7,5,8,4,1,2] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,3,8,6,4,5,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[3,2,7,6,5,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[1,2,7,6,5,8,3,4] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,2,6,1,5,3,7] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,3,8,6,4,1,5,7] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,3,6,2,5,1,8,7] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,8,1,2,5,6,3,4] => [1,2,5,6,3,4,7,8] => {{1},{2},{3,5},{4,6},{7},{8}} => {{1},{2},{3,6},{4,5},{7},{8}}
[4,1,6,2,5,7,3,8] => [1,6,2,5,7,3,8,4] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[6,1,2,5,8,7,3,4] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,1,8,7,2,3,6,4] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,5,7,4,2,8,3] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,1,6,4,7,2,5,8] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[2,4,7,5,1,8,3,6] => [1,8,2,4,7,3,6,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,5,7,1,4,2,3,8] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[2,8,3,4,5,1,7,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[6,2,4,3,1,5,7,8] => [1,5,7,8,2,4,3,6] => {{1},{2,5},{3,7},{4,6,8}} => {{1},{2,6,7},{3,8},{4,5}}
[4,2,8,3,1,7,5,6] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[5,3,7,4,1,6,2,8] => [1,6,2,8,3,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,7,3,6,1,8,5] => [1,8,2,4,7,3,6,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,4,7,1,6,5,3,8] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[1,2,7,8,5,4,3,6] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[6,3,1,2,8,4,5,7] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,2,1,3,6,5,8,7] => [1,3,6,2,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,2,1,5,4,6,3,8] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,6,1,8,5,3,7] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[7,8,4,1,5,3,6,2] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[3,4,6,1,5,8,7,2] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,1,6,4,3,8,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[5,8,1,6,3,4,7,2] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,1,8,2,7,4,3] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,1,7,5,2,3,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,6,1,8,5,3,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,6,1,7,4,8,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,6,1,5,7,4,2,8] => [1,5,7,2,8,3,6,4] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[2,5,6,1,7,4,8,3] => [1,7,2,5,6,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,7,5,6,4,8,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,1,7,6,4,8,3,2] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,1,7,8,5,3,4,2] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,6,5,4,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,5,7,3,4,8,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,6,4,7,5,8,2,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,3,6,2,7,4,1] => [1,2,7,3,6,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[1,7,6,5,4,8,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,1,6,5,7,2,4,3] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[1,2,7,6,8,3,4,5] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[6,1,7,5,3,8,2,4] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[2,1,7,5,6,8,3,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,4,1,7,6,8,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,8,5,6,2,7,3,1] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[3,8,6,4,2,7,5,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,8,6,3,7,4,5,1] => [1,2,8,3,7,4,5,6] => {{1},{2},{3,4,6,8},{5,7}} => {{1},{2},{3,4,8},{5,6,7}}
[7,8,1,6,2,4,5,3] => [1,6,2,4,5,3,7,8] => {{1},{2,3,6},{4},{5},{7},{8}} => {{1},{2,3,6},{4},{5},{7},{8}}
[3,8,4,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,7,1,8,3,2,6] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[3,7,4,1,8,5,2,6] => [1,8,2,6,3,7,4,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[2,7,1,8,4,5,3,6] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[6,1,2,8,4,3,5,7] => [1,2,8,3,5,7,4,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,5,1,4,3,8,2,7] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,6,2,5,8,3,4,7] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[8,5,1,3,7,2,6,4] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,4,2,1,7,3,6,5] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[7,4,2,1,8,5,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,3,1,5,8,2,7] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,7,6,8,4,5,2,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[2,7,6,8,5,3,4,1] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[1,7,6,8,5,4,2,3] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,8,6,7,5,2,3] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,4,8,6,7,3,5,1] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,3,8,5,4,6,2,1] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[3,4,8,5,6,7,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[6,3,5,8,4,7,2,1] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,4,3,8,6,7,2,1] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,4,2,8,7,3,6,1] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,5,8,7,3,4,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[3,2,8,5,7,4,6,1] => [1,2,8,3,4,6,5,7] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[1,3,8,7,5,6,2,4] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,8,7,4,6,3,5] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,1,5,8,7,4,2,3] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,1,8,7,6,2,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,6,7,4,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,8,7,5,6,3,2,1] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[4,2,1,6,3,5,8,7] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,2,1,4,3,5,8,7] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[6,2,1,4,3,8,5,7] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[8,2,4,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,2,4,1,3,8,5,7] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,2,4,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,1,6,4,3,5,8,7] => [1,6,2,3,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,6,1,4,3,5,8,7] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,6,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,4,2,1,3,5,8,7] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,4,2,1,3,6,5,7] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,4,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[4,6,2,1,8,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,6,1,4,3,8,5,7] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,6,4,3,8,5,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,8,4,3,6,5,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,1,4,3,6,5,7] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,8,2,1,3,6,5,7] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,8,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[8,6,2,1,4,3,5,7] => [1,4,2,3,5,7,6,8] => {{1},{2,3,4},{5},{6,7},{8}} => {{1},{2,3,4},{5},{6,7},{8}}
[2,8,1,4,6,3,5,7] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[2,1,8,4,6,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,6,1,4,8,3,5,7] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[2,6,4,8,1,3,5,7] => [1,3,5,7,2,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[4,6,2,8,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[4,2,6,1,3,8,5,7] => [1,3,8,2,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,2,4,1,6,3,5,7] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[6,2,1,4,8,3,5,7] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[4,2,1,6,8,3,5,7] => [1,6,8,2,3,5,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,1,6,3,8,5,7] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,4,3,8,6,5,7] => [1,4,2,3,8,5,7,6] => {{1},{2,3,4},{5,6,8},{7}} => {{1},{2,3,4},{5,6,8},{7}}
[2,4,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,1,3,8,6,5,7] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,1,8,3,6,5,7] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,1,8,6,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,2,1,8,4,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[8,2,6,1,4,3,5,7] => [1,4,2,6,3,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,2,8,1,4,3,5,7] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,8,1,6,3,5,7] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[2,4,8,1,3,6,5,7] => [1,3,6,2,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,1,8,3,6,5,7] => [1,8,2,4,3,6,5,7] => {{1},{2,3,5,7,8},{4},{6}} => {{1},{2,3,5,7,8},{4},{6}}
[2,1,4,8,3,6,5,7] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[2,1,4,8,6,3,5,7] => [1,4,8,2,3,5,7,6] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[2,4,8,1,6,3,5,7] => [1,6,2,4,8,3,5,7] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[2,4,8,6,1,3,5,7] => [1,3,5,7,2,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,2,8,6,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[6,2,8,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[8,2,6,4,1,3,5,7] => [1,3,5,7,2,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,4,6,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,4,8,2,1,3,5,7] => [1,3,5,7,2,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,6,8,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[2,6,8,1,4,3,5,7] => [1,4,2,6,8,3,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[2,1,6,8,4,3,5,7] => [1,6,8,2,3,5,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,1,8,6,4,3,5,7] => [1,8,2,3,5,7,4,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[2,8,1,6,4,3,5,7] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[2,8,6,4,1,3,5,7] => [1,3,5,7,2,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[4,8,6,2,1,3,5,7] => [1,3,5,7,2,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,8,4,2,1,3,5,7] => [1,3,5,7,2,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[3,2,6,1,5,4,8,7] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[5,2,4,3,8,1,7,6] => [1,7,2,4,3,8,5,6] => {{1},{2,3,5,7},{4},{6,8}} => {{1},{2,3,5,8},{4},{6,7}}
[6,2,4,1,5,3,8,7] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[4,3,6,1,5,2,8,7] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[4,3,5,2,8,1,7,6] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,8,2,6,1,7,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,8,1,7,2,6,5] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,8,1,5,2,7,6] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[5,1,8,3,4,2,7,6] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,8,1,3,2,7,6] => [1,3,2,7,4,8,5,6] => {{1},{2,3},{4,5,7},{6,8}} => {{1},{2,3},{4,5,8},{6,7}}
[2,1,5,4,8,3,7,6] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,7,6,8,3,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,7,6,8,1,5,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,6,5,8,1,7,2] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,3,5,4,7,2,8,1] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[6,3,5,4,8,1,7,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,1,6,3,8,4,5,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,4,6,1,3,2,7,5] => [1,3,2,7,4,6,5,8] => {{1},{2,3},{4,5,7},{6},{8}} => {{1},{2,3},{4,5,7},{6},{8}}
[8,1,6,3,4,2,7,5] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,1,6,3,7,2,5,4] => [1,6,2,5,3,7,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,5,1,7,2,6,4] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,3,5,2,6,1,7,4] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,6,3,5,1,7,4] => [1,7,2,6,3,5,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,7,1,5,3,6,4] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[8,2,4,1,5,3,7,6] => [1,5,2,4,3,7,6,8] => {{1},{2,3,5},{4},{6,7},{8}} => {{1},{2,3,5},{4},{6,7},{8}}
[8,2,4,1,7,3,6,5] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[8,2,4,3,6,1,7,5] => [1,7,2,4,3,6,5,8] => {{1},{2,3,5,7},{4},{6},{8}} => {{1},{2,3,5,7},{4},{6},{8}}
[3,2,8,1,5,4,7,6] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[3,2,7,6,8,1,5,4] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[3,2,7,1,8,5,6,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,6,5,8,1,7,4] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[6,5,7,2,4,3,8,1] => [1,2,4,3,8,5,7,6] => {{1},{2},{3,4},{5,6,8},{7}} => {{1},{2},{3,4},{5,6,8},{7}}
[6,5,8,2,4,1,7,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,2,4,1,8,5,6,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,7,3,8,5,6,4] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,3,2,8,5,6,4] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[7,1,8,5,6,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,1,8,2,6,4,5,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,2,8,1,5,4,6,3] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[6,2,7,4,5,3,8,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,4,8,2,6,1,7,3] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[6,5,8,1,7,2,4,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,6,5,8,3,7,4] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[6,5,7,1,8,3,4,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,1,7,4,8,3,5,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[5,4,7,1,8,3,6,2] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,8,3,1,5,4,6,7] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,5,3,4,7,1,8,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,8,3,5,7,6,1] => [1,2,4,8,3,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[4,2,5,3,1,8,6,7] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,4,1,3,8,2,6,7] => [1,3,8,2,6,7,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,4,3,2,6,7] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,4,3,8,5,2,6] => [1,7,2,6,3,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,1,5,7,3,6,2] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[8,1,5,3,7,4,6,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,8,4,7,6,5,2,1] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,4,8,1,7,3,5,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,4,8,7,1,5,2,3] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[7,6,4,1,3,8,2,5] => [1,3,8,2,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,7,5,6,3,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,2,1,7,8,5,3,6] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[2,7,4,6,3,1,8,5] => [1,8,2,7,3,4,6,5] => {{1},{2,3,5,8},{4,6,7}} => {{1},{2,3,7},{4,5,6,8}}
[2,6,8,4,3,7,5,1] => [1,2,6,8,3,7,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,2,6,3,4,1,8,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[2,7,1,8,3,5,4,6] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[2,1,7,3,5,8,4,6] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[8,7,1,3,6,2,4,5] => [1,3,6,2,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,2,6,3,1,5,4] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[1,2,8,7,4,5,6,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[8,6,1,2,7,5,3,4] => [1,2,7,3,4,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,1,6,2,7,4,5,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,5,2,6,7,4,3] => [1,8,2,6,7,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,1,8,6,7,4,3] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,8,5,7,6,4,3,1] => [1,2,8,3,4,5,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[7,8,1,6,4,2,5,3] => [1,6,2,5,3,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[7,8,6,1,5,3,2,4] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[7,3,8,6,1,5,2,4] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[8,7,6,1,5,3,4,2] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
[8,7,1,6,4,5,3,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,1,7,5,6,4,3,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,6,7,5,4,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,2,1,4,8,7] => [1,4,8,2,3,5,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,3,5,7,2,8,4,1] => [1,2,8,3,5,7,4,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[8,5,2,7,4,3,1,6] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,5,3,6,1,2,8,7] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,5,1,4,6,2,8,7] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[8,3,4,5,7,2,1,6] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[5,7,4,6,3,8,2,1] => [1,2,3,8,4,6,5,7] => {{1},{2},{3},{4,5,7,8},{6}} => {{1},{2},{3},{4,5,7,8},{6}}
[2,8,4,6,3,7,1,5] => [1,5,2,8,3,7,4,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,3,4,7,5,1,2,6] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,5,1,4,7,3,2,6] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,5,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,8,5,7,4,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,1,4,7,8,3,2] => [1,4,7,8,2,3,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,4,7,5,8,1,2] => [1,2,3,4,7,5,8,6] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[5,1,4,6,8,3,7,2] => [1,4,6,8,2,3,7,5] => {{1},{2,4,5,8},{3,6},{7}} => {{1},{2,5,6},{3,4,8},{7}}
[4,7,1,3,5,8,6,2] => [1,3,5,8,2,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[4,8,3,7,1,2,6,5] => [1,2,6,3,7,4,8,5] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[3,8,6,4,1,7,2,5] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,8,6,7,4,2,1,5] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,6,8,4,2,3,1] => [1,2,3,4,5,7,6,8] => {{1},{2},{3},{4},{5},{6,7},{8}} => {{1},{2},{3},{4},{5},{6,7},{8}}
[8,3,6,2,1,4,7,5] => [1,4,7,2,3,6,5,8] => {{1},{2,4},{3,5,7},{6},{8}} => {{1},{2,5,7},{3,4},{6},{8}}
[5,3,6,2,8,7,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,8,6,4,2,1,3] => [1,3,2,4,5,7,8,6] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[2,6,7,5,4,8,1,3] => [1,3,2,6,7,4,8,5] => {{1},{2,3},{4,6},{5,7,8}} => {{1},{2,3},{4,7,8},{5,6}}
[6,1,7,4,5,8,2,3] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,7,3,5,1,8,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,6,7,5,8,3,4] => [1,6,7,2,3,4,5,8] => {{1},{2,4,6},{3,5,7},{8}} => {{1},{2,7},{3,4,5,6},{8}}
[2,1,5,7,3,6,8,4] => [1,5,7,2,3,6,8,4] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[5,7,3,6,1,2,8,4] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,7,2,5,6,8,3] => [1,7,2,5,6,8,3,4] => {{1},{2,3,7},{4,5,6,8}} => {{1},{2,3,5,8},{4,6,7}}
[4,6,2,1,8,7,5,3] => [1,8,2,3,4,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,4,6,2,7,8,5,1] => [1,2,7,8,3,4,6,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,6,1,2,5,8,7,3] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[5,6,1,4,8,2,7,3] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[5,6,3,1,8,7,2,4] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,5,6,4,7,1,8,2] => [1,8,2,3,5,6,4,7] => {{1},{2,3,4,7,8},{5},{6}} => {{1},{2,3,4,7,8},{5},{6}}
[3,4,6,1,5,7,8,2] => [1,5,7,8,2,3,4,6] => {{1},{2,5},{3,4,6,7,8}} => {{1},{2,4,5},{3,6,7,8}}
[3,8,2,7,1,6,5,4] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[3,8,2,7,6,1,5,4] => [1,5,2,7,3,8,4,6] => {{1},{2,3,5},{4,7},{6,8}} => {{1},{2,3,8},{4,5},{6,7}}
[3,8,2,7,6,5,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,8,2,7,6,5,4,1] => [1,2,7,3,8,4,5,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,7,2,6,5,3,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,7,2,6,5,1,3] => [1,3,2,6,4,8,5,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,8,7,2,6,1,5,3] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[4,8,7,2,1,6,5,3] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,7,3,1,6,5,2] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,7,3,2,1,6,5] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,7,3,2,6,1,5] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[4,8,7,3,2,6,5,1] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,8,7,3,6,2,5,1] => [1,2,5,3,6,4,8,7] => {{1},{2},{3,4,5,6},{7,8}} => {{1},{2},{3,4,5,6},{7,8}}
[4,8,7,3,6,2,1,5] => [1,5,2,3,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,8,7,3,6,1,5,2] => [1,5,2,3,6,4,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,8,7,3,6,5,1,2] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,8,7,3,6,5,2,1] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,8,7,6,3,4,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,8,7,6,3,1,4,2] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,8,7,6,2,1,4,3] => [1,4,2,3,5,8,6,7] => {{1},{2,3,4},{5},{6,7,8}} => {{1},{2,3,4},{5},{6,7,8}}
[5,8,7,6,4,2,3,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[5,8,7,6,4,2,1,3] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[5,8,7,6,4,1,3,2] => [1,3,2,4,5,8,6,7] => {{1},{2,3},{4},{5},{6,7,8}} => {{1},{2,3},{4},{5},{6,7,8}}
[5,8,7,6,4,3,1,2] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[7,3,4,2,1,6,5,8] => [1,6,2,3,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[7,3,5,2,6,1,4,8] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,3,5,2,6,4,1,8] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,5,2,7,4,8,1] => [1,2,7,3,5,4,8,6] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[7,2,1,5,6,4,3,8] => [1,5,6,2,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,3,5,1,6,4,2,8] => [1,6,2,8,3,5,4,7] => {{1},{2,3,5,6},{4,7,8}} => {{1},{2,3,6},{4,5,7,8}}
[7,4,5,6,1,3,2,8] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[6,4,5,7,3,1,8,2] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,4,5,7,1,3,8,2] => [1,3,8,2,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,5,1,7,4,8,2] => [1,7,2,3,5,4,8,6] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[6,2,1,5,7,4,8,3] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,5,7,4,8,6] => [1,5,7,2,3,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,6,7,8,3,4,2] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,6,7,8,3,1,4] => [1,4,2,5,6,7,8,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,2,1,6,7,8,4,5] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,2,1,6,7,8,4,3] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,6,1,7,8,4,2] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[5,4,6,7,1,8,3,2] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[1,5,6,7,8,3,2,4] => [1,5,6,7,8,2,4,3] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,4,5,7,2,1,8,3] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,4,6,7,2,8,3,1] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[5,3,6,2,7,8,4,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[5,3,6,2,7,8,1,4] => [1,4,2,7,8,3,6,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[6,3,5,2,7,1,8,4] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[6,3,4,2,1,7,8,5] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,3,4,1,2,7,8,6] => [1,2,7,8,3,4,5,6] => {{1},{2},{3,5,7},{4,6,8}} => {{1},{2},{3,8},{4,5,6,7}}
[4,3,6,2,7,8,1,5] => [1,5,2,7,8,3,6,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,2,7,8,5,1] => [1,2,7,8,3,6,4,5] => {{1},{2},{3,4,5,7,8},{6}} => {{1},{2},{3,4,5,7,8},{6}}
[1,3,6,2,7,8,5,4] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,6,7,2,8,5,3] => [1,4,6,7,2,8,3,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,7,2,8,5,1] => [1,2,8,3,4,6,7,5] => {{1},{2},{3,4,5,8},{6},{7}} => {{1},{2},{3,4,5,8},{6},{7}}
[3,4,5,7,2,1,8,6] => [1,8,2,3,4,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,2,1,5,7,3,8,6] => [1,5,7,2,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,3,6,1,7,8,2,5] => [1,7,8,2,5,3,6,4] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[1,5,6,7,8,2,4,3] => [1,5,6,7,8,2,4,3] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[1,5,6,7,8,4,2,3] => [1,5,6,7,8,2,3,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,6,7,1,8,5,2] => [1,8,2,3,4,6,7,5] => {{1},{2,3,4,5,8},{6},{7}} => {{1},{2,3,4,5,8},{6},{7}}
[4,3,6,1,7,8,5,2] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[4,2,1,6,7,8,5,3] => [1,6,7,8,2,3,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,6,1,7,8,5,4] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[2,4,6,7,1,8,5,3] => [1,8,2,4,6,7,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,5,6,7,8,1,4,3] => [1,4,2,5,6,7,8,3] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,2,5,4,7,6,9,8] => [1,3,2,5,4,7,6,9,8] => {{1},{2,3},{4,5},{6,7},{8,9}} => {{1},{2,3},{4,5},{6,7},{8,9}}
[1,4,2,5,3,7,6,9,8] => [1,4,2,5,3,7,6,9,8] => {{1},{2,3,4,5},{6,7},{8,9}} => {{1},{2,3,4,5},{6,7},{8,9}}
[1,3,2,5,4,7,6,9,8,10] => [1,3,2,5,4,7,6,9,8,10] => {{1},{2,3},{4,5},{6,7},{8,9},{10}} => {{1},{2,3},{4,5},{6,7},{8,9},{10}}
[7,1,2,3,4,5,6,8,9] => [1,2,3,4,5,6,8,9,7] => {{1},{2},{3},{4},{5},{6},{7,8,9}} => {{1},{2},{3},{4},{5},{6},{7,8,9}}
[1,4,3,6,2,5,7,8] => [1,4,2,5,7,8,3,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,4,3,7,2,5,6,8] => [1,4,2,5,6,8,3,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,4,3,7,6,8,2,5] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[1,4,3,7,5,8,2,6] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,4,3,7,2,6,5,8] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,5,3,7,4,8,2,6] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,3,2,6,5,8,4,7] => [1,3,2,6,4,7,5,8] => {{1},{2,3},{4,5,6,7},{8}} => {{1},{2,3},{4,5,6,7},{8}}
[1,5,4,8,2,6,3,7] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,5,4,8,3,7,2,6] => [1,5,2,6,3,7,4,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[1,2,3,6,5,8,4,7] => [1,2,3,6,4,7,5,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[6,8,2,4,5,7,1,3] => [1,3,2,4,5,7,6,8] => {{1},{2,3},{4},{5},{6,7},{8}} => {{1},{2,3},{4},{5},{6,7},{8}}
[3,7,8,4,5,2,6,1] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,8,7,4,1,6,5,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[4,8,3,6,1,5,7,2] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[5,8,3,1,6,4,7,2] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,8,1,4,7,6,3,2] => [1,4,7,2,3,5,8,6] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[7,5,1,8,6,2,4,3] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[7,4,1,8,2,6,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,4,2,6,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,6,3,8,5,2,4,7] => [1,6,2,4,7,3,8,5] => {{1},{2,3,6},{4},{5,7,8}} => {{1},{2,3,7,8},{4},{5,6}}
[6,1,3,8,5,2,4,7] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,8,3,6,2,5,4] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,3,1,8,4,2,6,5] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,2,8,4,1,6,5,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,8,3,6,5,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[7,2,8,3,6,1,5,4] => [1,5,2,8,3,6,4,7] => {{1},{2,3,5},{4,7,8},{6}} => {{1},{2,3,7,8},{4,5},{6}}
[7,1,8,2,3,6,5,4] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,8,3,5,4,7] => [1,2,8,3,5,4,7,6] => {{1},{2},{3,4,6,8},{5},{7}} => {{1},{2},{3,4,6,8},{5},{7}}
[1,5,2,3,8,4,7,6] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,1,2,3,8,4,7,6] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,2,3,8,1,4,7,6] => [1,4,7,2,3,8,5,6] => {{1},{2,4},{3,5,7},{6,8}} => {{1},{2,5,8},{3,4},{6,7}}
[6,2,8,1,3,5,4,7] => [1,3,5,2,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,2,4,1,8,7,3,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,3,1,4,2,8,5,7] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,1,6,4,2,8,5,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,6,3,8,7,1,5,4] => [1,5,2,6,3,8,4,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[2,5,1,8,3,4,7,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,5,1,3,8,4,7,6] => [1,3,8,2,5,4,7,6] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[1,2,5,3,8,4,7,6] => [1,2,5,3,8,4,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[2,4,8,1,3,7,6,5] => [1,3,7,2,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,4,8,3,7,1,6,5] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[2,4,8,3,7,6,1,5] => [1,5,2,4,8,3,7,6] => {{1},{2,3,5,6,8},{4},{7}} => {{1},{2,3,5,6,8},{4},{7}}
[2,5,3,8,1,7,4,6] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,5,4,1,3,8,7,6] => [1,3,8,2,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,1,5,4,8,2,7,6] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,3,1,4,8,2,7,6] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[4,8,2,3,7,6,1,5] => [1,5,2,3,7,4,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,8,2,3,7,1,6,5] => [1,6,2,3,7,4,8,5] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[4,8,1,2,3,7,6,5] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[1,4,8,3,7,2,6,5] => [1,4,8,2,6,3,7,5] => {{1},{2,4},{3,5,6,8},{7}} => {{1},{2,5,6,8},{3,4},{7}}
[6,3,8,1,5,2,4,7] => [1,5,2,4,7,3,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,3,8,1,2,4,7,6] => [1,2,4,7,3,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[5,1,3,8,2,4,7,6] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,3,8,2,4,7,6] => [1,5,2,4,7,3,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,5,4,8,2,7,6,3] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[5,1,4,8,2,7,6,3] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[5,4,8,1,2,7,6,3] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[6,5,1,2,8,7,4,3] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,3,1,6,4,2,8,7] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,6,2,8,7,4,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,1,5,8,2,7,6,3] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[4,1,2,5,8,7,6,3] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[1,4,2,5,8,7,6,3] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,5,2,8,7,4,6] => [1,3,5,2,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,1,2,8,7,4,6] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[3,6,2,8,7,5,1,4] => [1,4,2,8,3,6,5,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,2,6,1,8,7,3,5] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,5,8,2,7,6] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[3,5,2,8,7,1,4,6] => [1,4,6,2,8,3,5,7] => {{1},{2,4},{3,6},{5,7,8}} => {{1},{2,7,8},{3,4},{5,6}}
[3,4,8,7,2,6,1,5] => [1,5,2,6,3,4,8,7] => {{1},{2,3,5},{4,6},{7,8}} => {{1},{2,3,6},{4,5},{7,8}}
[3,4,8,7,1,2,6,5] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,4,8,1,7,2,6,5] => [1,7,2,6,3,4,8,5] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[1,3,4,8,2,7,6,5] => [1,3,4,8,2,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,8,1,2,7,6,5] => [1,2,7,3,4,8,5,6] => {{1},{2},{3,4,5,7},{6,8}} => {{1},{2},{3,4,5,8},{6,7}}
[3,4,8,2,7,1,6,5] => [1,6,2,7,3,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,8,2,7,6,1,5] => [1,5,2,7,3,4,8,6] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[4,2,5,8,1,7,6,3] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,1,2,5,8,7,6] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[3,1,4,2,5,8,7,6] => [1,4,2,5,8,3,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,3,5,1,8,7,6,4] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[7,8,2,1,5,3,6,4] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[6,4,1,2,7,3,5,8] => [1,2,7,3,5,8,4,6] => {{1},{2},{3,4,7},{5},{6,8}} => {{1},{2},{3,4,8},{5},{6,7}}
[6,3,1,5,4,2,7,8] => [1,5,2,7,8,3,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,8,1,5,4,2,6,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[7,8,2,5,4,6,1,3] => [1,3,2,5,4,6,7,8] => {{1},{2,3},{4,5},{6},{7},{8}} => {{1},{2,3},{4,5},{6},{7},{8}}
[6,2,1,5,4,7,3,8] => [1,5,2,3,8,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[5,3,6,2,4,7,1,8] => [1,8,2,4,7,3,6,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,4,2,1,7,3,8,5] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,7,5,8,6,1,2] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[4,2,7,1,8,3,6,5] => [1,8,2,7,3,6,4,5] => {{1},{2,3,5,8},{4,7},{6}} => {{1},{2,3,8},{4,5,7},{6}}
[3,2,6,7,4,8,1,5] => [1,5,2,6,7,3,4,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,1,6,7,4,8,5,2] => [1,6,7,2,3,4,8,5] => {{1},{2,4,6},{3,5,7,8}} => {{1},{2,7,8},{3,4,5,6}}
[1,7,6,5,3,8,4,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,6,5,3,8,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[1,7,6,5,2,4,8,3] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,7,6,5,3,1,4,8] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[2,7,1,4,8,3,5,6] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[3,7,6,4,8,5,1,2] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[5,7,6,3,8,4,1,2] => [1,2,3,8,4,5,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[5,1,6,2,4,8,3,7] => [1,6,2,4,8,3,7,5] => {{1},{2,3,6},{4},{5,8},{7}} => {{1},{2,3,8},{4},{5,6},{7}}
[4,7,6,5,2,1,3,8] => [1,3,8,2,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,6,5,2,8,1,3] => [1,3,2,8,4,7,5,6] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[4,7,6,5,1,8,3,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,6,5,2,8,3,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,7,6,5,3,2,8,4] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[4,7,6,5,3,1,8,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,3,5,4,8,7,2] => [1,3,5,2,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[5,1,6,2,4,7,8,3] => [1,6,2,4,7,8,3,5] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,2,6,3,4,8,7,5] => [1,2,6,3,4,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,7,2,4,8,3,6,5] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[6,1,4,2,8,3,5,7] => [1,4,2,8,3,5,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,7,2,1,5,3,6,8] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,2,6,8,3,5,4] => [1,7,2,6,8,3,5,4] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,2,6,7,4,8,5,3] => [1,2,6,7,3,4,8,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[3,1,6,7,4,2,8,5] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[4,7,6,3,5,8,1,2] => [1,2,3,5,8,4,7,6] => {{1},{2},{3},{4,5,6,8},{7}} => {{1},{2},{3},{4,5,6,8},{7}}
[4,7,1,2,5,3,8,6] => [1,2,5,3,8,4,7,6] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[3,7,6,5,2,4,1,8] => [1,8,2,4,3,7,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[1,7,6,5,8,2,4,3] => [1,7,2,4,3,5,8,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,7,6,5,8,1,4,2] => [1,4,2,3,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[4,7,6,8,3,5,1,2] => [1,2,3,5,4,7,6,8] => {{1},{2},{3},{4,5},{6,7},{8}} => {{1},{2},{3},{4,5},{6,7},{8}}
[2,7,6,5,1,4,3,8] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[2,7,6,5,8,1,3,4] => [1,3,4,2,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[6,3,2,1,7,4,8,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[4,2,1,7,3,5,8,6] => [1,7,2,3,5,8,4,6] => {{1},{2,3,4,7},{5},{6,8}} => {{1},{2,3,4,8},{5},{6,7}}
[7,3,1,5,4,2,8,6] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[8,4,1,5,2,7,6,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[4,3,7,2,1,5,8,6] => [1,5,8,2,3,7,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,2,5,3,1,8,6] => [1,8,2,5,3,4,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[7,5,4,3,2,1,8,6] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,5,3,2,1,7,6,4] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,6,3,2,8,1,5,7] => [1,5,7,2,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,7,4,3,2,8,1,6] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,7,6,2,4,8,3,5] => [1,7,2,4,8,3,5,6] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,7,3,6,4,8,1,5] => [1,5,2,7,3,6,4,8] => {{1},{2,3,5},{4,7},{6},{8}} => {{1},{2,3,7},{4,5},{6},{8}}
[6,2,7,5,3,8,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,1,8,5,3,6,4,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,1,6,2,7,4,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[1,8,6,3,2,7,5,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,3,2,7,1,6,4] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,7,3,1,6,5,4,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,2,6,1,5,4,3] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[1,8,5,7,4,3,6,2] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,8,5,7,2,4,6,3] => [1,8,2,4,6,3,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[3,8,6,1,7,2,5,4] => [1,7,2,5,3,8,4,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,2,8,5,6,1,4,3] => [1,4,2,8,3,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,5,8,2,1,4] => [1,4,2,3,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[3,7,2,6,8,4,1,5] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[3,6,5,8,1,4,2,7] => [1,4,2,7,3,6,5,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[2,6,5,8,4,1,3,7] => [1,3,7,2,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,5,4,8,3,2,1,7] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[8,4,3,7,2,1,6,5] => [1,6,2,3,7,4,5,8] => {{1},{2,3,4,6},{5,7},{8}} => {{1},{2,3,4,7},{5,6},{8}}
[8,2,4,7,1,3,6,5] => [1,3,6,2,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,2,5,8,1,4,3,7] => [1,4,2,5,8,3,7,6] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,3,6,8,2,1,5,7] => [1,5,7,2,3,6,8,4] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,3,5,1,8,4,2,7] => [1,8,2,7,3,5,4,6] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[8,4,1,5,7,3,6,2] => [1,5,7,2,3,6,4,8] => {{1},{2,3,4,5,7},{6},{8}} => {{1},{2,3,4,5,7},{6},{8}}
[6,4,2,5,8,3,1,7] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,5,2,1,7,8,3,4] => [1,7,8,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,3,7,4,8,5,2,1] => [1,2,3,7,4,8,5,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[6,3,1,8,4,7,5,2] => [1,8,2,3,4,7,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,4,2,8,7,3,5,1] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[6,5,3,8,7,4,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,5,3,7,6,4,2,1] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[5,4,8,1,7,6,2,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[5,2,8,1,7,3,6,4] => [1,7,2,8,3,6,4,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,4,8,2,1,7,5,3] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[3,6,8,1,4,7,5,2] => [1,4,7,2,3,6,8,5] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[5,7,3,8,1,6,4,2] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[6,4,7,8,1,5,3,2] => [1,5,2,3,4,7,8,6] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[2,5,8,7,1,3,6,4] => [1,3,6,2,5,8,4,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[5,3,8,7,2,1,6,4] => [1,6,2,3,8,4,5,7] => {{1},{2,3,4,6},{5,7,8}} => {{1},{2,3,4,7,8},{5,6}}
[8,3,7,6,1,5,4,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,2,7,6,5,1,4,3] => [1,4,2,7,3,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,3,8,7,6,2,1,5] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,4,8,7,6,1,3,5] => [1,3,5,2,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[3,5,8,7,2,6,1,4] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[4,7,3,8,6,5,1,2] => [1,2,3,8,4,7,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,5,8,6,4,3,2,1] => [1,2,3,4,5,8,6,7] => {{1},{2},{3},{4},{5},{6,7,8}} => {{1},{2},{3},{4},{5},{6,7,8}}
[4,8,7,6,2,5,3,1] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[3,8,7,6,5,1,4,2] => [1,4,2,3,8,5,6,7] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[2,8,7,6,5,4,1,3] => [1,3,2,8,4,5,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[3,2,1,4,5,6,7,8,9] => [1,4,5,6,7,8,9,2,3] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[4,3,2,1,5,6,7,8,9] => [1,5,6,7,8,9,2,3,4] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[5,6,7,8,1,2,3,4,9] => [1,2,3,4,9,5,6,7,8] => {{1},{2},{3},{4},{5,6,7,8,9}} => {{1},{2},{3},{4},{5,6,7,8,9}}
[6,5,4,3,2,1,7,8,9] => [1,7,8,9,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8,9}} => {{1},{2,3,4,5,6,7,8,9}}
[7,8,5,6,3,4,1,2,9] => [1,2,9,3,4,5,6,7,8] => {{1},{2},{3,4,5,6,7,8,9}} => {{1},{2},{3,4,5,6,7,8,9}}
[7,6,5,4,3,2,1,8,9] => [1,8,9,2,3,4,5,6,7] => {{1},{2,4,6,8},{3,5,7,9}} => {{1},{2,9},{3,4,5,6,7,8}}
[8,6,9,4,7,2,5,1,3] => [1,3,2,5,4,7,6,9,8] => {{1},{2,3},{4,5},{6,7},{8,9}} => {{1},{2,3},{4,5},{6,7},{8,9}}
[3,2,1,4,5,6,7,8,9,10] => [1,4,5,6,7,8,9,10,2,3] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[5,4,3,2,1,6,7,8,9,10] => [1,6,7,8,9,10,2,3,4,5] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[6,5,4,3,2,1,7,8,9,10] => [1,7,8,9,10,2,3,4,5,6] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[7,8,9,4,5,6,1,2,3,10] => [1,2,3,10,4,5,6,7,8,9] => {{1},{2},{3},{4,5,6,7,8,9,10}} => {{1},{2},{3},{4,5,6,7,8,9,10}}
[8,7,6,5,4,3,2,1,9,10] => [1,9,10,2,3,4,5,6,7,8] => {{1},{2,3,4,5,6,7,8,9,10}} => {{1},{2,3,4,5,6,7,8,9,10}}
[3,7,5,8,2,4,1,6] => [1,6,2,4,3,7,5,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[3,8,5,7,2,4,1,6] => [1,6,2,4,3,8,5,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,1,2,6,4,3,8,7] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[6,1,2,5,4,3,8,7] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,1,2,4,6,3,8,7] => [1,2,4,6,3,8,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,2,6,5,3,8,7] => [1,2,6,3,8,4,5,7] => {{1},{2},{3,4,6},{5,7,8}} => {{1},{2},{3,4,7,8},{5,6}}
[4,1,5,8,7,3,2,6] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,7,1,8,3,6,2,5] => [1,8,2,5,3,6,4,7] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[4,1,7,8,5,2,3,6] => [1,7,8,2,3,6,4,5] => {{1},{2,4,7},{3,5,8},{6}} => {{1},{2,8},{3,4,5,7},{6}}
[5,1,7,4,8,2,3,6] => [1,7,2,3,6,4,8,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,5,3,8,1,4,2,6] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,5,8,7,3,4,6] => [1,5,8,2,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,8,4,7,2,3,6] => [1,8,2,3,6,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[4,1,8,7,5,2,3,6] => [1,8,2,3,6,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[6,1,2,3,7,5,8,4] => [1,2,3,7,4,5,8,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,1,2,3,8,6,5,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[7,1,2,3,5,8,6,4] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,8,1,4,3,7,2,5] => [1,4,2,5,3,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[8,7,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[2,1,7,3,4,8,6,5] => [1,7,2,3,4,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[7,8,3,2,4,1,6,5] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[6,7,1,4,3,8,2,5] => [1,4,2,5,3,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[8,1,2,3,5,7,6,4] => [1,2,3,5,7,4,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[7,1,2,3,6,8,5,4] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[7,1,2,3,8,5,6,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,1,2,3,7,5,6,4] => [1,2,3,7,4,5,6,8] => {{1},{2},{3},{4,5,6,7},{8}} => {{1},{2},{3},{4,5,6,7},{8}}
[8,1,2,3,6,5,7,4] => [1,2,3,6,4,5,7,8] => {{1},{2},{3},{4,5,6},{7},{8}} => {{1},{2},{3},{4,5,6},{7},{8}}
[7,1,8,5,4,3,2,6] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[7,8,2,6,3,4,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[6,8,2,7,3,4,1,5] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[6,7,2,8,3,4,1,5] => [1,5,2,8,3,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[3,8,7,1,4,2,6,5] => [1,4,2,6,3,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,8,1,4,2,7,5] => [1,4,2,7,3,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[3,5,7,8,2,4,1,6] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[7,6,2,8,3,1,4,5] => [1,4,5,2,8,3,6,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[8,6,2,7,3,1,4,5] => [1,4,5,2,7,3,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[8,1,7,5,4,3,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[8,1,7,4,5,3,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[5,8,3,7,1,4,2,6] => [1,4,2,6,3,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,1,7,3,4,6,8,5] => [1,7,2,3,4,6,8,5] => {{1},{2,3,4,5,7,8},{6}} => {{1},{2,3,4,5,7,8},{6}}
[6,7,3,2,4,1,8,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[8,7,2,4,3,6,1,5] => [1,5,2,4,3,6,7,8] => {{1},{2,3,5},{4},{6},{7},{8}} => {{1},{2,3,5},{4},{6},{7},{8}}
[7,1,2,3,5,6,8,4] => [1,2,3,5,6,8,4,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,1,2,3,8,7,4,5] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,1,2,3,7,8,6,4] => [1,2,3,7,8,4,5,6] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,1,2,3,8,7,6,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[5,1,2,3,8,6,7,4] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,1,2,3,5,8,7,4] => [1,2,3,5,8,4,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[8,6,2,4,3,1,7,5] => [1,7,2,4,3,5,6,8] => {{1},{2,3,5,6,7},{4},{8}} => {{1},{2,3,5,6,7},{4},{8}}
[7,6,3,2,4,8,1,5] => [1,5,2,4,8,3,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[2,1,6,3,4,8,7,5] => [1,6,2,3,4,8,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,6,2,4,3,1,8,5] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[6,1,2,3,5,7,8,4] => [1,2,3,5,7,8,4,6] => {{1},{2},{3},{4,5,7},{6,8}} => {{1},{2},{3},{4,5,8},{6,7}}
[5,1,2,3,6,8,7,4] => [1,2,3,6,8,4,5,7] => {{1},{2},{3},{4,6},{5,7,8}} => {{1},{2},{3},{4,7,8},{5,6}}
[1,4,8,2,7,3,5,6] => [1,4,8,2,7,3,5,6] => {{1},{2,4},{3,6,8},{5,7}} => {{1},{2,8},{3,4},{5,6,7}}
[1,2,8,5,4,7,3,6] => [1,2,8,3,6,4,7,5] => {{1},{2},{3,4,5,6,8},{7}} => {{1},{2},{3,4,5,6,8},{7}}
[2,3,6,8,4,7,1,5] => [1,5,2,3,6,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,3,6,8,4,7,5,2] => [1,3,6,8,2,4,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,4,8,1,7,3,6,5] => [1,7,2,4,8,3,6,5] => {{1},{2,3,6,7},{4},{5,8}} => {{1},{2,3,7},{4},{5,6,8}}
[3,4,8,5,7,6,1,2] => [1,2,3,4,8,5,7,6] => {{1},{2},{3},{4},{5,6,8},{7}} => {{1},{2},{3},{4},{5,6,8},{7}}
[1,2,6,8,4,5,7,3] => [1,2,6,8,3,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,5,1,2,4,3,6,8] => [1,2,4,3,6,8,5,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[7,4,6,1,5,2,3,8] => [1,5,2,3,8,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,1,4,2,6,3,5,8] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[6,8,1,4,7,2,3,5] => [1,4,7,2,3,5,6,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[1,6,4,2,8,3,5,7] => [1,6,2,8,3,5,7,4] => {{1},{2,3,5,6},{4,8},{7}} => {{1},{2,3,6},{4,5,8},{7}}
[1,6,3,8,5,4,2,7] => [1,6,2,7,3,8,4,5] => {{1},{2,3,5,6,8},{4,7}} => {{1},{2,3,6,7},{4,5,8}}
[7,3,1,6,5,4,2,8] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[7,2,1,4,6,3,5,8] => [1,4,6,2,3,5,8,7] => {{1},{2,4},{3,5,6},{7,8}} => {{1},{2,5,6},{3,4},{7,8}}
[7,2,3,6,5,1,4,8] => [1,4,8,2,3,6,5,7] => {{1},{2,4},{3,5,7,8},{6}} => {{1},{2,5,7,8},{3,4},{6}}
[7,1,2,3,6,5,4,8] => [1,2,3,6,4,8,5,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[1,5,8,2,7,6,3,4] => [1,5,8,2,7,3,4,6] => {{1},{2,4,5,7},{3,6,8}} => {{1},{2,5,6,7},{3,4,8}}
[5,1,8,2,7,6,3,4] => [1,8,2,7,3,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,2,7,6,3,4,1] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[6,2,8,1,7,3,5,4] => [1,7,2,8,3,5,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,6,4,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,5,1,8,7,6,3,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,3,8,7,4,6,1] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[1,2,5,3,8,7,4,6] => [1,2,5,3,8,4,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,4,8,7,6,5,1,3] => [1,3,2,4,8,5,6,7] => {{1},{2,3},{4},{5,6,7,8}} => {{1},{2,3},{4},{5,6,7,8}}
[2,5,3,8,7,1,6,4] => [1,6,2,5,3,8,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,5,8,4,1,7,6,3] => [1,7,2,5,8,3,4,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,5,8,7,1,4,2,6] => [1,4,2,6,3,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[5,3,8,4,1,7,6,2] => [1,7,2,3,8,4,5,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,2,8,7,6,3,5,1] => [1,2,8,3,5,4,6,7] => {{1},{2},{3,4,6,7,8},{5}} => {{1},{2},{3,4,6,7,8},{5}}
[4,2,8,7,6,5,3,1] => [1,2,8,3,4,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,1,8,7,6,5,3,2] => [1,8,2,3,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,8,7,6,5,1,2] => [1,2,3,8,4,5,6,7] => {{1},{2},{3},{4,5,6,7,8}} => {{1},{2},{3},{4,5,6,7,8}}
[6,3,1,8,7,2,5,4] => [1,8,2,5,3,4,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,8,3,7,6,1,4,2] => [1,4,2,3,7,5,8,6] => {{1},{2,3,4},{5,6,7,8}} => {{1},{2,3,4},{5,6,7,8}}
[5,1,3,8,7,6,2,4] => [1,3,8,2,4,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[1,5,3,8,7,6,2,4] => [1,5,2,4,3,8,6,7] => {{1},{2,3,5},{4},{6,7,8}} => {{1},{2,3,5},{4},{6,7,8}}
[1,5,8,4,7,2,6,3] => [1,5,8,2,6,3,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[5,1,8,4,7,2,6,3] => [1,8,2,6,3,4,7,5] => {{1},{2,3,5,8},{4,6},{7}} => {{1},{2,3,8},{4,5,6},{7}}
[5,8,7,4,6,1,2,3] => [1,2,3,4,6,5,8,7] => {{1},{2},{3},{4},{5,6},{7,8}} => {{1},{2},{3},{4},{5,6},{7,8}}
[6,8,5,1,2,4,7,3] => [1,2,4,7,3,5,6,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[5,6,3,1,2,4,8,7] => [1,2,4,8,3,5,6,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[5,6,2,4,3,1,8,7] => [1,8,2,4,3,5,6,7] => {{1},{2,3,5,6,7,8},{4}} => {{1},{2,3,5,6,7,8},{4}}
[5,6,1,2,4,3,8,7] => [1,2,4,3,8,5,6,7] => {{1},{2},{3,4},{5,6,7,8}} => {{1},{2},{3,4},{5,6,7,8}}
[4,5,8,1,7,2,3,6] => [1,7,2,3,6,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[4,5,8,1,7,2,6,3] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[1,3,2,5,8,7,4,6] => [1,3,2,5,8,4,6,7] => {{1},{2,3},{4,5,6,7,8}} => {{1},{2,3},{4,5,6,7,8}}
[3,5,1,8,7,4,6,2] => [1,8,2,3,5,4,6,7] => {{1},{2,3,4,6,7,8},{5}} => {{1},{2,3,4,6,7,8},{5}}
[3,5,1,8,7,2,6,4] => [1,8,2,6,3,5,4,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[4,3,6,1,2,8,5,7] => [1,2,8,3,6,4,5,7] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[4,5,8,3,1,7,2,6] => [1,7,2,6,3,4,5,8] => {{1},{2,3,5,7},{4,6},{8}} => {{1},{2,3,7},{4,5,6},{8}}
[3,2,5,8,7,1,6,4] => [1,6,2,5,8,3,4,7] => {{1},{2,3,6},{4,5,7,8}} => {{1},{2,3,5,6},{4,7,8}}
[3,4,8,7,6,2,1,5] => [1,5,2,3,4,8,6,7] => {{1},{2,3,4,5},{6,7,8}} => {{1},{2,3,4,5},{6,7,8}}
[3,4,8,7,6,5,1,2] => [1,2,3,4,8,5,6,7] => {{1},{2},{3},{4},{5,6,7,8}} => {{1},{2},{3},{4},{5,6,7,8}}
[1,3,4,8,7,6,2,5] => [1,3,4,8,2,5,6,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[3,4,8,7,6,2,5,1] => [1,2,5,3,4,8,6,7] => {{1},{2},{3,4,5},{6,7,8}} => {{1},{2},{3,4,5},{6,7,8}}
[3,2,5,8,7,4,6,1] => [1,2,5,8,3,4,6,7] => {{1},{2},{3,5},{4,6,7,8}} => {{1},{2},{3,6,7,8},{4,5}}
[4,5,8,3,1,7,6,2] => [1,7,2,3,4,5,8,6] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,1,3,5,8,7,4,6] => [1,3,5,8,2,4,6,7] => {{1},{2,3,5},{4,6,7,8}} => {{1},{2,3,6,7,8},{4,5}}
[1,2,7,5,8,6,4,3] => [1,2,7,3,4,5,8,6] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[7,1,4,8,2,6,5,3] => [1,4,8,2,6,3,5,7] => {{1},{2,4},{3,5,6,7,8}} => {{1},{2,5,6,7,8},{3,4}}
[6,8,1,3,7,5,2,4] => [1,3,7,2,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[3,7,8,1,2,6,5,4] => [1,2,6,3,7,8,4,5] => {{1},{2},{3,4,5,6,7,8}} => {{1},{2},{3,4,5,6,7,8}}
[2,3,7,8,1,6,5,4] => [1,6,2,3,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[2,7,8,1,3,6,5,4] => [1,3,6,2,7,8,4,5] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,1,2,6,7,5,3,4] => [1,2,6,7,3,4,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[2,6,8,3,7,1,5,4] => [1,5,2,6,8,3,7,4] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[2,8,6,4,7,1,5,3] => [1,5,2,8,3,4,7,6] => {{1},{2,3,5},{4,6,8},{7}} => {{1},{2,3,6,8},{4,5},{7}}
[6,8,3,4,1,7,5,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[6,8,3,7,4,1,5,2] => [1,5,2,3,7,4,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[2,6,8,3,7,5,1,4] => [1,4,2,6,8,3,7,5] => {{1},{2,3,4,6},{5,8},{7}} => {{1},{2,3,4,8},{5,6},{7}}
[2,8,1,6,7,5,3,4] => [1,6,7,2,8,3,4,5] => {{1},{2,3,4,6,7},{5,8}} => {{1},{2,3,4,7},{5,6,8}}
[8,2,5,7,1,6,3,4] => [1,6,2,5,7,3,4,8] => {{1},{2,3,6},{4,5,7},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[8,4,7,2,3,6,1,5] => [1,5,2,3,6,4,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,5,7,4,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[1,6,8,3,7,2,5,4] => [1,6,8,2,5,3,7,4] => {{1},{2,3,4,6,8},{5},{7}} => {{1},{2,3,4,6,8},{5},{7}}
[5,8,7,1,3,6,2,4] => [1,3,6,2,4,5,8,7] => {{1},{2,3,4,5,6},{7,8}} => {{1},{2,3,4,5,6},{7,8}}
[8,5,4,7,1,6,2,3] => [1,6,2,3,4,7,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,4,7,1,2,6,3] => [1,2,6,3,4,7,5,8] => {{1},{2},{3,4,5,6,7},{8}} => {{1},{2},{3,4,5,6,7},{8}}
[8,5,1,4,7,2,6,3] => [1,4,7,2,6,3,5,8] => {{1},{2,4},{3,5,6,7},{8}} => {{1},{2,5,6,7},{3,4},{8}}
[1,4,6,8,2,7,5,3] => [1,4,6,8,2,7,3,5] => {{1},{2,4,5,8},{3,6,7}} => {{1},{2,5,6,8},{3,4,7}}
[1,6,5,8,2,7,4,3] => [1,6,2,7,3,4,5,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[8,5,6,3,1,7,4,2] => [1,7,2,3,4,5,6,8] => {{1},{2,3,4,5,6,7},{8}} => {{1},{2,3,4,5,6,7},{8}}
[5,6,2,8,1,7,4,3] => [1,7,2,8,3,4,5,6] => {{1},{2,3,5,7},{4,6,8}} => {{1},{2,3,8},{4,5,6,7}}
[1,8,4,5,7,2,6,3] => [1,8,2,6,3,4,5,7] => {{1},{2,3,5,7,8},{4,6}} => {{1},{2,3,7,8},{4,5,6}}
[5,8,7,3,6,1,2,4] => [1,2,4,3,6,5,8,7] => {{1},{2},{3,4},{5,6},{7,8}} => {{1},{2},{3,4},{5,6},{7,8}}
[8,3,5,7,1,6,2,4] => [1,6,2,4,3,5,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[1,6,8,3,7,5,2,4] => [1,6,8,2,4,3,7,5] => {{1},{2,3,4,5,6,8},{7}} => {{1},{2,3,4,5,6,8},{7}}
[6,3,8,2,7,5,1,4] => [1,4,2,7,3,8,5,6] => {{1},{2,3,4,5,7},{6,8}} => {{1},{2,3,4,5,8},{6,7}}
[6,8,4,2,7,1,5,3] => [1,5,2,7,3,4,6,8] => {{1},{2,3,5},{4,6,7},{8}} => {{1},{2,3,6,7},{4,5},{8}}
[8,6,4,7,3,1,5,2] => [1,5,2,3,4,7,6,8] => {{1},{2,3,4,5},{6,7},{8}} => {{1},{2,3,4,5},{6,7},{8}}
[8,4,5,7,3,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,4,2,5,7,1,6,3] => [1,6,2,5,7,3,4,8] => {{1},{2,3,6},{4,5,7},{8}} => {{1},{2,3,5,6},{4,7},{8}}
[8,3,4,7,2,6,1,5] => [1,5,2,6,3,4,7,8] => {{1},{2,3,5},{4,6},{7},{8}} => {{1},{2,3,6},{4,5},{7},{8}}
[8,7,1,3,4,6,2,5] => [1,3,4,6,2,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,3,7,2,4,6,1,5] => [1,5,2,4,6,3,7,8] => {{1},{2,3,5,6},{4},{7},{8}} => {{1},{2,3,5,6},{4},{7},{8}}
[2,8,4,5,7,1,6,3] => [1,6,2,8,3,4,5,7] => {{1},{2,3,4,5,6,7,8}} => {{1},{2,3,4,5,6,7,8}}
[8,7,3,4,5,1,6,2] => [1,6,2,3,4,5,7,8] => {{1},{2,3,4,5,6},{7},{8}} => {{1},{2,3,4,5,6},{7},{8}}
[8,7,4,5,2,6,1,3] => [1,3,2,6,4,5,7,8] => {{1},{2,3},{4,5,6},{7},{8}} => {{1},{2,3},{4,5,6},{7},{8}}
[5,8,7,2,3,6,1,4] => [1,4,2,3,6,5,8,7] => {{1},{2,3,4},{5,6},{7,8}} => {{1},{2,3,4},{5,6},{7,8}}
[8,7,2,3,4,6,1,5] => [1,5,2,3,4,6,7,8] => {{1},{2,3,4,5},{6},{7},{8}} => {{1},{2,3,4,5},{6},{7},{8}}
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
Kasraoui-Zeng
Description
The Kasraoui-Zeng involution.
This is defined in [1] and yields the set partition with the number of nestings and crossings exchanged.