Identifier
Mp00320: Parking functions —reverse⟶ Parking functions
Mp00290: Parking functions —to ordered set partition⟶ Ordered set partitions
Mp00285: Ordered set partitions —to set partition⟶ Set partitions
Images
[1] => [1] => [{1}] => {{1}}
[1,1] => [1,1] => [{1,2}] => {{1,2}}
[1,2] => [2,1] => [{2},{1}] => {{1},{2}}
[2,1] => [1,2] => [{1},{2}] => {{1},{2}}
[1,1,1] => [1,1,1] => [{1,2,3}] => {{1,2,3}}
[1,1,2] => [2,1,1] => [{2,3},{1}] => {{1},{2,3}}
[1,2,1] => [1,2,1] => [{1,3},{2}] => {{1,3},{2}}
[2,1,1] => [1,1,2] => [{1,2},{3}] => {{1,2},{3}}
[1,1,3] => [3,1,1] => [{2,3},{1}] => {{1},{2,3}}
[1,3,1] => [1,3,1] => [{1,3},{2}] => {{1,3},{2}}
[3,1,1] => [1,1,3] => [{1,2},{3}] => {{1,2},{3}}
[1,2,2] => [2,2,1] => [{3},{1,2}] => {{1,2},{3}}
[2,1,2] => [2,1,2] => [{2},{1,3}] => {{1,3},{2}}
[2,2,1] => [1,2,2] => [{1},{2,3}] => {{1},{2,3}}
[1,2,3] => [3,2,1] => [{3},{2},{1}] => {{1},{2},{3}}
[1,3,2] => [2,3,1] => [{3},{1},{2}] => {{1},{2},{3}}
[2,1,3] => [3,1,2] => [{2},{3},{1}] => {{1},{2},{3}}
[2,3,1] => [1,3,2] => [{1},{3},{2}] => {{1},{2},{3}}
[3,1,2] => [2,1,3] => [{2},{1},{3}] => {{1},{2},{3}}
[3,2,1] => [1,2,3] => [{1},{2},{3}] => {{1},{2},{3}}
[1,1,1,1] => [1,1,1,1] => [{1,2,3,4}] => {{1,2,3,4}}
[1,1,1,2] => [2,1,1,1] => [{2,3,4},{1}] => {{1},{2,3,4}}
[1,1,2,1] => [1,2,1,1] => [{1,3,4},{2}] => {{1,3,4},{2}}
[1,2,1,1] => [1,1,2,1] => [{1,2,4},{3}] => {{1,2,4},{3}}
[2,1,1,1] => [1,1,1,2] => [{1,2,3},{4}] => {{1,2,3},{4}}
[1,1,1,3] => [3,1,1,1] => [{2,3,4},{1}] => {{1},{2,3,4}}
[1,1,3,1] => [1,3,1,1] => [{1,3,4},{2}] => {{1,3,4},{2}}
[1,3,1,1] => [1,1,3,1] => [{1,2,4},{3}] => {{1,2,4},{3}}
[3,1,1,1] => [1,1,1,3] => [{1,2,3},{4}] => {{1,2,3},{4}}
[1,1,1,4] => [4,1,1,1] => [{2,3,4},{1}] => {{1},{2,3,4}}
[1,1,4,1] => [1,4,1,1] => [{1,3,4},{2}] => {{1,3,4},{2}}
[1,4,1,1] => [1,1,4,1] => [{1,2,4},{3}] => {{1,2,4},{3}}
[4,1,1,1] => [1,1,1,4] => [{1,2,3},{4}] => {{1,2,3},{4}}
[1,1,2,2] => [2,2,1,1] => [{3,4},{1,2}] => {{1,2},{3,4}}
[1,2,1,2] => [2,1,2,1] => [{2,4},{1,3}] => {{1,3},{2,4}}
[1,2,2,1] => [1,2,2,1] => [{1,4},{2,3}] => {{1,4},{2,3}}
[2,1,1,2] => [2,1,1,2] => [{2,3},{1,4}] => {{1,4},{2,3}}
[2,1,2,1] => [1,2,1,2] => [{1,3},{2,4}] => {{1,3},{2,4}}
[2,2,1,1] => [1,1,2,2] => [{1,2},{3,4}] => {{1,2},{3,4}}
[1,1,2,3] => [3,2,1,1] => [{3,4},{2},{1}] => {{1},{2},{3,4}}
[1,1,3,2] => [2,3,1,1] => [{3,4},{1},{2}] => {{1},{2},{3,4}}
[1,2,1,3] => [3,1,2,1] => [{2,4},{3},{1}] => {{1},{2,4},{3}}
[1,2,3,1] => [1,3,2,1] => [{1,4},{3},{2}] => {{1,4},{2},{3}}
[1,3,1,2] => [2,1,3,1] => [{2,4},{1},{3}] => {{1},{2,4},{3}}
[1,3,2,1] => [1,2,3,1] => [{1,4},{2},{3}] => {{1,4},{2},{3}}
[2,1,1,3] => [3,1,1,2] => [{2,3},{4},{1}] => {{1},{2,3},{4}}
[2,1,3,1] => [1,3,1,2] => [{1,3},{4},{2}] => {{1,3},{2},{4}}
[2,3,1,1] => [1,1,3,2] => [{1,2},{4},{3}] => {{1,2},{3},{4}}
[3,1,1,2] => [2,1,1,3] => [{2,3},{1},{4}] => {{1},{2,3},{4}}
[3,1,2,1] => [1,2,1,3] => [{1,3},{2},{4}] => {{1,3},{2},{4}}
[3,2,1,1] => [1,1,2,3] => [{1,2},{3},{4}] => {{1,2},{3},{4}}
[1,1,2,4] => [4,2,1,1] => [{3,4},{2},{1}] => {{1},{2},{3,4}}
[1,1,4,2] => [2,4,1,1] => [{3,4},{1},{2}] => {{1},{2},{3,4}}
[1,2,1,4] => [4,1,2,1] => [{2,4},{3},{1}] => {{1},{2,4},{3}}
[1,2,4,1] => [1,4,2,1] => [{1,4},{3},{2}] => {{1,4},{2},{3}}
[1,4,1,2] => [2,1,4,1] => [{2,4},{1},{3}] => {{1},{2,4},{3}}
[1,4,2,1] => [1,2,4,1] => [{1,4},{2},{3}] => {{1,4},{2},{3}}
[2,1,1,4] => [4,1,1,2] => [{2,3},{4},{1}] => {{1},{2,3},{4}}
[2,1,4,1] => [1,4,1,2] => [{1,3},{4},{2}] => {{1,3},{2},{4}}
[2,4,1,1] => [1,1,4,2] => [{1,2},{4},{3}] => {{1,2},{3},{4}}
[4,1,1,2] => [2,1,1,4] => [{2,3},{1},{4}] => {{1},{2,3},{4}}
[4,1,2,1] => [1,2,1,4] => [{1,3},{2},{4}] => {{1,3},{2},{4}}
[4,2,1,1] => [1,1,2,4] => [{1,2},{3},{4}] => {{1,2},{3},{4}}
[1,1,3,3] => [3,3,1,1] => [{3,4},{1,2}] => {{1,2},{3,4}}
[1,3,1,3] => [3,1,3,1] => [{2,4},{1,3}] => {{1,3},{2,4}}
[1,3,3,1] => [1,3,3,1] => [{1,4},{2,3}] => {{1,4},{2,3}}
[3,1,1,3] => [3,1,1,3] => [{2,3},{1,4}] => {{1,4},{2,3}}
[3,1,3,1] => [1,3,1,3] => [{1,3},{2,4}] => {{1,3},{2,4}}
[3,3,1,1] => [1,1,3,3] => [{1,2},{3,4}] => {{1,2},{3,4}}
[1,1,3,4] => [4,3,1,1] => [{3,4},{2},{1}] => {{1},{2},{3,4}}
[1,1,4,3] => [3,4,1,1] => [{3,4},{1},{2}] => {{1},{2},{3,4}}
[1,3,1,4] => [4,1,3,1] => [{2,4},{3},{1}] => {{1},{2,4},{3}}
[1,3,4,1] => [1,4,3,1] => [{1,4},{3},{2}] => {{1,4},{2},{3}}
[1,4,1,3] => [3,1,4,1] => [{2,4},{1},{3}] => {{1},{2,4},{3}}
[1,4,3,1] => [1,3,4,1] => [{1,4},{2},{3}] => {{1,4},{2},{3}}
[3,1,1,4] => [4,1,1,3] => [{2,3},{4},{1}] => {{1},{2,3},{4}}
[3,1,4,1] => [1,4,1,3] => [{1,3},{4},{2}] => {{1,3},{2},{4}}
[3,4,1,1] => [1,1,4,3] => [{1,2},{4},{3}] => {{1,2},{3},{4}}
[4,1,1,3] => [3,1,1,4] => [{2,3},{1},{4}] => {{1},{2,3},{4}}
[4,1,3,1] => [1,3,1,4] => [{1,3},{2},{4}] => {{1,3},{2},{4}}
[4,3,1,1] => [1,1,3,4] => [{1,2},{3},{4}] => {{1,2},{3},{4}}
[1,2,2,2] => [2,2,2,1] => [{4},{1,2,3}] => {{1,2,3},{4}}
[2,1,2,2] => [2,2,1,2] => [{3},{1,2,4}] => {{1,2,4},{3}}
[2,2,1,2] => [2,1,2,2] => [{2},{1,3,4}] => {{1,3,4},{2}}
[2,2,2,1] => [1,2,2,2] => [{1},{2,3,4}] => {{1},{2,3,4}}
[1,2,2,3] => [3,2,2,1] => [{4},{2,3},{1}] => {{1},{2,3},{4}}
[1,2,3,2] => [2,3,2,1] => [{4},{1,3},{2}] => {{1,3},{2},{4}}
[1,3,2,2] => [2,2,3,1] => [{4},{1,2},{3}] => {{1,2},{3},{4}}
[2,1,2,3] => [3,2,1,2] => [{3},{2,4},{1}] => {{1},{2,4},{3}}
[2,1,3,2] => [2,3,1,2] => [{3},{1,4},{2}] => {{1,4},{2},{3}}
[2,2,1,3] => [3,1,2,2] => [{2},{3,4},{1}] => {{1},{2},{3,4}}
[2,2,3,1] => [1,3,2,2] => [{1},{3,4},{2}] => {{1},{2},{3,4}}
[2,3,1,2] => [2,1,3,2] => [{2},{1,4},{3}] => {{1,4},{2},{3}}
[2,3,2,1] => [1,2,3,2] => [{1},{2,4},{3}] => {{1},{2,4},{3}}
[3,1,2,2] => [2,2,1,3] => [{3},{1,2},{4}] => {{1,2},{3},{4}}
[3,2,1,2] => [2,1,2,3] => [{2},{1,3},{4}] => {{1,3},{2},{4}}
[3,2,2,1] => [1,2,2,3] => [{1},{2,3},{4}] => {{1},{2,3},{4}}
[1,2,2,4] => [4,2,2,1] => [{4},{2,3},{1}] => {{1},{2,3},{4}}
[1,2,4,2] => [2,4,2,1] => [{4},{1,3},{2}] => {{1,3},{2},{4}}
[1,4,2,2] => [2,2,4,1] => [{4},{1,2},{3}] => {{1,2},{3},{4}}
[2,1,2,4] => [4,2,1,2] => [{3},{2,4},{1}] => {{1},{2,4},{3}}
>>> Load all 18248 entries. <<<
[2,1,4,2] => [2,4,1,2] => [{3},{1,4},{2}] => {{1,4},{2},{3}}
[2,2,1,4] => [4,1,2,2] => [{2},{3,4},{1}] => {{1},{2},{3,4}}
[2,2,4,1] => [1,4,2,2] => [{1},{3,4},{2}] => {{1},{2},{3,4}}
[2,4,1,2] => [2,1,4,2] => [{2},{1,4},{3}] => {{1,4},{2},{3}}
[2,4,2,1] => [1,2,4,2] => [{1},{2,4},{3}] => {{1},{2,4},{3}}
[4,1,2,2] => [2,2,1,4] => [{3},{1,2},{4}] => {{1,2},{3},{4}}
[4,2,1,2] => [2,1,2,4] => [{2},{1,3},{4}] => {{1,3},{2},{4}}
[4,2,2,1] => [1,2,2,4] => [{1},{2,3},{4}] => {{1},{2,3},{4}}
[1,2,3,3] => [3,3,2,1] => [{4},{3},{1,2}] => {{1,2},{3},{4}}
[1,3,2,3] => [3,2,3,1] => [{4},{2},{1,3}] => {{1,3},{2},{4}}
[1,3,3,2] => [2,3,3,1] => [{4},{1},{2,3}] => {{1},{2,3},{4}}
[2,1,3,3] => [3,3,1,2] => [{3},{4},{1,2}] => {{1,2},{3},{4}}
[2,3,1,3] => [3,1,3,2] => [{2},{4},{1,3}] => {{1,3},{2},{4}}
[2,3,3,1] => [1,3,3,2] => [{1},{4},{2,3}] => {{1},{2,3},{4}}
[3,1,2,3] => [3,2,1,3] => [{3},{2},{1,4}] => {{1,4},{2},{3}}
[3,1,3,2] => [2,3,1,3] => [{3},{1},{2,4}] => {{1},{2,4},{3}}
[3,2,1,3] => [3,1,2,3] => [{2},{3},{1,4}] => {{1,4},{2},{3}}
[3,2,3,1] => [1,3,2,3] => [{1},{3},{2,4}] => {{1},{2,4},{3}}
[3,3,1,2] => [2,1,3,3] => [{2},{1},{3,4}] => {{1},{2},{3,4}}
[3,3,2,1] => [1,2,3,3] => [{1},{2},{3,4}] => {{1},{2},{3,4}}
[1,2,3,4] => [4,3,2,1] => [{4},{3},{2},{1}] => {{1},{2},{3},{4}}
[1,2,4,3] => [3,4,2,1] => [{4},{3},{1},{2}] => {{1},{2},{3},{4}}
[1,3,2,4] => [4,2,3,1] => [{4},{2},{3},{1}] => {{1},{2},{3},{4}}
[1,3,4,2] => [2,4,3,1] => [{4},{1},{3},{2}] => {{1},{2},{3},{4}}
[1,4,2,3] => [3,2,4,1] => [{4},{2},{1},{3}] => {{1},{2},{3},{4}}
[1,4,3,2] => [2,3,4,1] => [{4},{1},{2},{3}] => {{1},{2},{3},{4}}
[2,1,3,4] => [4,3,1,2] => [{3},{4},{2},{1}] => {{1},{2},{3},{4}}
[2,1,4,3] => [3,4,1,2] => [{3},{4},{1},{2}] => {{1},{2},{3},{4}}
[2,3,1,4] => [4,1,3,2] => [{2},{4},{3},{1}] => {{1},{2},{3},{4}}
[2,3,4,1] => [1,4,3,2] => [{1},{4},{3},{2}] => {{1},{2},{3},{4}}
[2,4,1,3] => [3,1,4,2] => [{2},{4},{1},{3}] => {{1},{2},{3},{4}}
[2,4,3,1] => [1,3,4,2] => [{1},{4},{2},{3}] => {{1},{2},{3},{4}}
[3,1,2,4] => [4,2,1,3] => [{3},{2},{4},{1}] => {{1},{2},{3},{4}}
[3,1,4,2] => [2,4,1,3] => [{3},{1},{4},{2}] => {{1},{2},{3},{4}}
[3,2,1,4] => [4,1,2,3] => [{2},{3},{4},{1}] => {{1},{2},{3},{4}}
[3,2,4,1] => [1,4,2,3] => [{1},{3},{4},{2}] => {{1},{2},{3},{4}}
[3,4,1,2] => [2,1,4,3] => [{2},{1},{4},{3}] => {{1},{2},{3},{4}}
[3,4,2,1] => [1,2,4,3] => [{1},{2},{4},{3}] => {{1},{2},{3},{4}}
[4,1,2,3] => [3,2,1,4] => [{3},{2},{1},{4}] => {{1},{2},{3},{4}}
[4,1,3,2] => [2,3,1,4] => [{3},{1},{2},{4}] => {{1},{2},{3},{4}}
[4,2,1,3] => [3,1,2,4] => [{2},{3},{1},{4}] => {{1},{2},{3},{4}}
[4,2,3,1] => [1,3,2,4] => [{1},{3},{2},{4}] => {{1},{2},{3},{4}}
[4,3,1,2] => [2,1,3,4] => [{2},{1},{3},{4}] => {{1},{2},{3},{4}}
[4,3,2,1] => [1,2,3,4] => [{1},{2},{3},{4}] => {{1},{2},{3},{4}}
[1,1,1,1,1] => [1,1,1,1,1] => [{1,2,3,4,5}] => {{1,2,3,4,5}}
[1,1,1,1,2] => [2,1,1,1,1] => [{2,3,4,5},{1}] => {{1},{2,3,4,5}}
[1,1,1,2,1] => [1,2,1,1,1] => [{1,3,4,5},{2}] => {{1,3,4,5},{2}}
[1,1,2,1,1] => [1,1,2,1,1] => [{1,2,4,5},{3}] => {{1,2,4,5},{3}}
[1,2,1,1,1] => [1,1,1,2,1] => [{1,2,3,5},{4}] => {{1,2,3,5},{4}}
[2,1,1,1,1] => [1,1,1,1,2] => [{1,2,3,4},{5}] => {{1,2,3,4},{5}}
[1,1,1,1,3] => [3,1,1,1,1] => [{2,3,4,5},{1}] => {{1},{2,3,4,5}}
[1,1,1,3,1] => [1,3,1,1,1] => [{1,3,4,5},{2}] => {{1,3,4,5},{2}}
[1,1,3,1,1] => [1,1,3,1,1] => [{1,2,4,5},{3}] => {{1,2,4,5},{3}}
[1,3,1,1,1] => [1,1,1,3,1] => [{1,2,3,5},{4}] => {{1,2,3,5},{4}}
[3,1,1,1,1] => [1,1,1,1,3] => [{1,2,3,4},{5}] => {{1,2,3,4},{5}}
[1,1,1,1,4] => [4,1,1,1,1] => [{2,3,4,5},{1}] => {{1},{2,3,4,5}}
[1,1,1,4,1] => [1,4,1,1,1] => [{1,3,4,5},{2}] => {{1,3,4,5},{2}}
[1,1,4,1,1] => [1,1,4,1,1] => [{1,2,4,5},{3}] => {{1,2,4,5},{3}}
[1,4,1,1,1] => [1,1,1,4,1] => [{1,2,3,5},{4}] => {{1,2,3,5},{4}}
[4,1,1,1,1] => [1,1,1,1,4] => [{1,2,3,4},{5}] => {{1,2,3,4},{5}}
[1,1,1,1,5] => [5,1,1,1,1] => [{2,3,4,5},{1}] => {{1},{2,3,4,5}}
[1,1,1,5,1] => [1,5,1,1,1] => [{1,3,4,5},{2}] => {{1,3,4,5},{2}}
[1,1,5,1,1] => [1,1,5,1,1] => [{1,2,4,5},{3}] => {{1,2,4,5},{3}}
[1,5,1,1,1] => [1,1,1,5,1] => [{1,2,3,5},{4}] => {{1,2,3,5},{4}}
[5,1,1,1,1] => [1,1,1,1,5] => [{1,2,3,4},{5}] => {{1,2,3,4},{5}}
[1,1,1,2,2] => [2,2,1,1,1] => [{3,4,5},{1,2}] => {{1,2},{3,4,5}}
[1,1,2,1,2] => [2,1,2,1,1] => [{2,4,5},{1,3}] => {{1,3},{2,4,5}}
[1,1,2,2,1] => [1,2,2,1,1] => [{1,4,5},{2,3}] => {{1,4,5},{2,3}}
[1,2,1,1,2] => [2,1,1,2,1] => [{2,3,5},{1,4}] => {{1,4},{2,3,5}}
[1,2,1,2,1] => [1,2,1,2,1] => [{1,3,5},{2,4}] => {{1,3,5},{2,4}}
[1,2,2,1,1] => [1,1,2,2,1] => [{1,2,5},{3,4}] => {{1,2,5},{3,4}}
[2,1,1,1,2] => [2,1,1,1,2] => [{2,3,4},{1,5}] => {{1,5},{2,3,4}}
[2,1,1,2,1] => [1,2,1,1,2] => [{1,3,4},{2,5}] => {{1,3,4},{2,5}}
[2,1,2,1,1] => [1,1,2,1,2] => [{1,2,4},{3,5}] => {{1,2,4},{3,5}}
[2,2,1,1,1] => [1,1,1,2,2] => [{1,2,3},{4,5}] => {{1,2,3},{4,5}}
[1,1,1,2,3] => [3,2,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,3,2] => [2,3,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,2,1,3] => [3,1,2,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,2,3,1] => [1,3,2,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,3,1,2] => [2,1,3,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,3,2,1] => [1,2,3,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,2,1,1,3] => [3,1,1,2,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,2,1,3,1] => [1,3,1,2,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,2,3,1,1] => [1,1,3,2,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,3,1,1,2] => [2,1,1,3,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,3,1,2,1] => [1,2,1,3,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,3,2,1,1] => [1,1,2,3,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[2,1,1,1,3] => [3,1,1,1,2] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[2,1,1,3,1] => [1,3,1,1,2] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[2,1,3,1,1] => [1,1,3,1,2] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[2,3,1,1,1] => [1,1,1,3,2] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[3,1,1,1,2] => [2,1,1,1,3] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[3,1,1,2,1] => [1,2,1,1,3] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[3,1,2,1,1] => [1,1,2,1,3] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[3,2,1,1,1] => [1,1,1,2,3] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,1,2,4] => [4,2,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,4,2] => [2,4,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,2,1,4] => [4,1,2,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,2,4,1] => [1,4,2,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,4,1,2] => [2,1,4,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,4,2,1] => [1,2,4,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,2,1,1,4] => [4,1,1,2,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,2,1,4,1] => [1,4,1,2,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,2,4,1,1] => [1,1,4,2,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,4,1,1,2] => [2,1,1,4,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,4,1,2,1] => [1,2,1,4,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,4,2,1,1] => [1,1,2,4,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[2,1,1,1,4] => [4,1,1,1,2] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[2,1,1,4,1] => [1,4,1,1,2] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[2,1,4,1,1] => [1,1,4,1,2] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[2,4,1,1,1] => [1,1,1,4,2] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[4,1,1,1,2] => [2,1,1,1,4] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[4,1,1,2,1] => [1,2,1,1,4] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[4,1,2,1,1] => [1,1,2,1,4] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[4,2,1,1,1] => [1,1,1,2,4] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,1,2,5] => [5,2,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,5,2] => [2,5,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,2,1,5] => [5,1,2,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,2,5,1] => [1,5,2,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,5,1,2] => [2,1,5,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,5,2,1] => [1,2,5,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,2,1,1,5] => [5,1,1,2,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,2,1,5,1] => [1,5,1,2,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,2,5,1,1] => [1,1,5,2,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,5,1,1,2] => [2,1,1,5,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,5,1,2,1] => [1,2,1,5,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,5,2,1,1] => [1,1,2,5,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[2,1,1,1,5] => [5,1,1,1,2] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[2,1,1,5,1] => [1,5,1,1,2] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[2,1,5,1,1] => [1,1,5,1,2] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[2,5,1,1,1] => [1,1,1,5,2] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[5,1,1,1,2] => [2,1,1,1,5] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[5,1,1,2,1] => [1,2,1,1,5] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[5,1,2,1,1] => [1,1,2,1,5] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[5,2,1,1,1] => [1,1,1,2,5] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,1,3,3] => [3,3,1,1,1] => [{3,4,5},{1,2}] => {{1,2},{3,4,5}}
[1,1,3,1,3] => [3,1,3,1,1] => [{2,4,5},{1,3}] => {{1,3},{2,4,5}}
[1,1,3,3,1] => [1,3,3,1,1] => [{1,4,5},{2,3}] => {{1,4,5},{2,3}}
[1,3,1,1,3] => [3,1,1,3,1] => [{2,3,5},{1,4}] => {{1,4},{2,3,5}}
[1,3,1,3,1] => [1,3,1,3,1] => [{1,3,5},{2,4}] => {{1,3,5},{2,4}}
[1,3,3,1,1] => [1,1,3,3,1] => [{1,2,5},{3,4}] => {{1,2,5},{3,4}}
[3,1,1,1,3] => [3,1,1,1,3] => [{2,3,4},{1,5}] => {{1,5},{2,3,4}}
[3,1,1,3,1] => [1,3,1,1,3] => [{1,3,4},{2,5}] => {{1,3,4},{2,5}}
[3,1,3,1,1] => [1,1,3,1,3] => [{1,2,4},{3,5}] => {{1,2,4},{3,5}}
[3,3,1,1,1] => [1,1,1,3,3] => [{1,2,3},{4,5}] => {{1,2,3},{4,5}}
[1,1,1,3,4] => [4,3,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,4,3] => [3,4,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,3,1,4] => [4,1,3,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,3,4,1] => [1,4,3,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,4,1,3] => [3,1,4,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,4,3,1] => [1,3,4,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,3,1,1,4] => [4,1,1,3,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,3,1,4,1] => [1,4,1,3,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,3,4,1,1] => [1,1,4,3,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,4,1,1,3] => [3,1,1,4,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,4,1,3,1] => [1,3,1,4,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,4,3,1,1] => [1,1,3,4,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[3,1,1,1,4] => [4,1,1,1,3] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[3,1,1,4,1] => [1,4,1,1,3] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[3,1,4,1,1] => [1,1,4,1,3] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[3,4,1,1,1] => [1,1,1,4,3] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[4,1,1,1,3] => [3,1,1,1,4] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[4,1,1,3,1] => [1,3,1,1,4] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[4,1,3,1,1] => [1,1,3,1,4] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[4,3,1,1,1] => [1,1,1,3,4] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,1,3,5] => [5,3,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,5,3] => [3,5,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,3,1,5] => [5,1,3,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,3,5,1] => [1,5,3,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,5,1,3] => [3,1,5,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,5,3,1] => [1,3,5,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,3,1,1,5] => [5,1,1,3,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,3,1,5,1] => [1,5,1,3,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,3,5,1,1] => [1,1,5,3,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,5,1,1,3] => [3,1,1,5,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,5,1,3,1] => [1,3,1,5,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,5,3,1,1] => [1,1,3,5,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[3,1,1,1,5] => [5,1,1,1,3] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[3,1,1,5,1] => [1,5,1,1,3] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[3,1,5,1,1] => [1,1,5,1,3] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[3,5,1,1,1] => [1,1,1,5,3] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[5,1,1,1,3] => [3,1,1,1,5] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[5,1,1,3,1] => [1,3,1,1,5] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[5,1,3,1,1] => [1,1,3,1,5] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[5,3,1,1,1] => [1,1,1,3,5] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,1,4,4] => [4,4,1,1,1] => [{3,4,5},{1,2}] => {{1,2},{3,4,5}}
[1,1,4,1,4] => [4,1,4,1,1] => [{2,4,5},{1,3}] => {{1,3},{2,4,5}}
[1,1,4,4,1] => [1,4,4,1,1] => [{1,4,5},{2,3}] => {{1,4,5},{2,3}}
[1,4,1,1,4] => [4,1,1,4,1] => [{2,3,5},{1,4}] => {{1,4},{2,3,5}}
[1,4,1,4,1] => [1,4,1,4,1] => [{1,3,5},{2,4}] => {{1,3,5},{2,4}}
[1,4,4,1,1] => [1,1,4,4,1] => [{1,2,5},{3,4}] => {{1,2,5},{3,4}}
[4,1,1,1,4] => [4,1,1,1,4] => [{2,3,4},{1,5}] => {{1,5},{2,3,4}}
[4,1,1,4,1] => [1,4,1,1,4] => [{1,3,4},{2,5}] => {{1,3,4},{2,5}}
[4,1,4,1,1] => [1,1,4,1,4] => [{1,2,4},{3,5}] => {{1,2,4},{3,5}}
[4,4,1,1,1] => [1,1,1,4,4] => [{1,2,3},{4,5}] => {{1,2,3},{4,5}}
[1,1,1,4,5] => [5,4,1,1,1] => [{3,4,5},{2},{1}] => {{1},{2},{3,4,5}}
[1,1,1,5,4] => [4,5,1,1,1] => [{3,4,5},{1},{2}] => {{1},{2},{3,4,5}}
[1,1,4,1,5] => [5,1,4,1,1] => [{2,4,5},{3},{1}] => {{1},{2,4,5},{3}}
[1,1,4,5,1] => [1,5,4,1,1] => [{1,4,5},{3},{2}] => {{1,4,5},{2},{3}}
[1,1,5,1,4] => [4,1,5,1,1] => [{2,4,5},{1},{3}] => {{1},{2,4,5},{3}}
[1,1,5,4,1] => [1,4,5,1,1] => [{1,4,5},{2},{3}] => {{1,4,5},{2},{3}}
[1,4,1,1,5] => [5,1,1,4,1] => [{2,3,5},{4},{1}] => {{1},{2,3,5},{4}}
[1,4,1,5,1] => [1,5,1,4,1] => [{1,3,5},{4},{2}] => {{1,3,5},{2},{4}}
[1,4,5,1,1] => [1,1,5,4,1] => [{1,2,5},{4},{3}] => {{1,2,5},{3},{4}}
[1,5,1,1,4] => [4,1,1,5,1] => [{2,3,5},{1},{4}] => {{1},{2,3,5},{4}}
[1,5,1,4,1] => [1,4,1,5,1] => [{1,3,5},{2},{4}] => {{1,3,5},{2},{4}}
[1,5,4,1,1] => [1,1,4,5,1] => [{1,2,5},{3},{4}] => {{1,2,5},{3},{4}}
[4,1,1,1,5] => [5,1,1,1,4] => [{2,3,4},{5},{1}] => {{1},{2,3,4},{5}}
[4,1,1,5,1] => [1,5,1,1,4] => [{1,3,4},{5},{2}] => {{1,3,4},{2},{5}}
[4,1,5,1,1] => [1,1,5,1,4] => [{1,2,4},{5},{3}] => {{1,2,4},{3},{5}}
[4,5,1,1,1] => [1,1,1,5,4] => [{1,2,3},{5},{4}] => {{1,2,3},{4},{5}}
[5,1,1,1,4] => [4,1,1,1,5] => [{2,3,4},{1},{5}] => {{1},{2,3,4},{5}}
[5,1,1,4,1] => [1,4,1,1,5] => [{1,3,4},{2},{5}] => {{1,3,4},{2},{5}}
[5,1,4,1,1] => [1,1,4,1,5] => [{1,2,4},{3},{5}] => {{1,2,4},{3},{5}}
[5,4,1,1,1] => [1,1,1,4,5] => [{1,2,3},{4},{5}] => {{1,2,3},{4},{5}}
[1,1,2,2,2] => [2,2,2,1,1] => [{4,5},{1,2,3}] => {{1,2,3},{4,5}}
[1,2,1,2,2] => [2,2,1,2,1] => [{3,5},{1,2,4}] => {{1,2,4},{3,5}}
[1,2,2,1,2] => [2,1,2,2,1] => [{2,5},{1,3,4}] => {{1,3,4},{2,5}}
[1,2,2,2,1] => [1,2,2,2,1] => [{1,5},{2,3,4}] => {{1,5},{2,3,4}}
[2,1,1,2,2] => [2,2,1,1,2] => [{3,4},{1,2,5}] => {{1,2,5},{3,4}}
[2,1,2,1,2] => [2,1,2,1,2] => [{2,4},{1,3,5}] => {{1,3,5},{2,4}}
[2,1,2,2,1] => [1,2,2,1,2] => [{1,4},{2,3,5}] => {{1,4},{2,3,5}}
[2,2,1,1,2] => [2,1,1,2,2] => [{2,3},{1,4,5}] => {{1,4,5},{2,3}}
[2,2,1,2,1] => [1,2,1,2,2] => [{1,3},{2,4,5}] => {{1,3},{2,4,5}}
[2,2,2,1,1] => [1,1,2,2,2] => [{1,2},{3,4,5}] => {{1,2},{3,4,5}}
[1,1,2,2,3] => [3,2,2,1,1] => [{4,5},{2,3},{1}] => {{1},{2,3},{4,5}}
[1,1,2,3,2] => [2,3,2,1,1] => [{4,5},{1,3},{2}] => {{1,3},{2},{4,5}}
[1,1,3,2,2] => [2,2,3,1,1] => [{4,5},{1,2},{3}] => {{1,2},{3},{4,5}}
[1,2,1,2,3] => [3,2,1,2,1] => [{3,5},{2,4},{1}] => {{1},{2,4},{3,5}}
[1,2,1,3,2] => [2,3,1,2,1] => [{3,5},{1,4},{2}] => {{1,4},{2},{3,5}}
[1,2,2,1,3] => [3,1,2,2,1] => [{2,5},{3,4},{1}] => {{1},{2,5},{3,4}}
[1,2,2,3,1] => [1,3,2,2,1] => [{1,5},{3,4},{2}] => {{1,5},{2},{3,4}}
[1,2,3,1,2] => [2,1,3,2,1] => [{2,5},{1,4},{3}] => {{1,4},{2,5},{3}}
[1,2,3,2,1] => [1,2,3,2,1] => [{1,5},{2,4},{3}] => {{1,5},{2,4},{3}}
[1,3,1,2,2] => [2,2,1,3,1] => [{3,5},{1,2},{4}] => {{1,2},{3,5},{4}}
[1,3,2,1,2] => [2,1,2,3,1] => [{2,5},{1,3},{4}] => {{1,3},{2,5},{4}}
[1,3,2,2,1] => [1,2,2,3,1] => [{1,5},{2,3},{4}] => {{1,5},{2,3},{4}}
[2,1,1,2,3] => [3,2,1,1,2] => [{3,4},{2,5},{1}] => {{1},{2,5},{3,4}}
[2,1,1,3,2] => [2,3,1,1,2] => [{3,4},{1,5},{2}] => {{1,5},{2},{3,4}}
[2,1,2,1,3] => [3,1,2,1,2] => [{2,4},{3,5},{1}] => {{1},{2,4},{3,5}}
[2,1,2,3,1] => [1,3,2,1,2] => [{1,4},{3,5},{2}] => {{1,4},{2},{3,5}}
[2,1,3,1,2] => [2,1,3,1,2] => [{2,4},{1,5},{3}] => {{1,5},{2,4},{3}}
[2,1,3,2,1] => [1,2,3,1,2] => [{1,4},{2,5},{3}] => {{1,4},{2,5},{3}}
[2,2,1,1,3] => [3,1,1,2,2] => [{2,3},{4,5},{1}] => {{1},{2,3},{4,5}}
[2,2,1,3,1] => [1,3,1,2,2] => [{1,3},{4,5},{2}] => {{1,3},{2},{4,5}}
[2,2,3,1,1] => [1,1,3,2,2] => [{1,2},{4,5},{3}] => {{1,2},{3},{4,5}}
[2,3,1,1,2] => [2,1,1,3,2] => [{2,3},{1,5},{4}] => {{1,5},{2,3},{4}}
[2,3,1,2,1] => [1,2,1,3,2] => [{1,3},{2,5},{4}] => {{1,3},{2,5},{4}}
[2,3,2,1,1] => [1,1,2,3,2] => [{1,2},{3,5},{4}] => {{1,2},{3,5},{4}}
[3,1,1,2,2] => [2,2,1,1,3] => [{3,4},{1,2},{5}] => {{1,2},{3,4},{5}}
[3,1,2,1,2] => [2,1,2,1,3] => [{2,4},{1,3},{5}] => {{1,3},{2,4},{5}}
[3,1,2,2,1] => [1,2,2,1,3] => [{1,4},{2,3},{5}] => {{1,4},{2,3},{5}}
[3,2,1,1,2] => [2,1,1,2,3] => [{2,3},{1,4},{5}] => {{1,4},{2,3},{5}}
[3,2,1,2,1] => [1,2,1,2,3] => [{1,3},{2,4},{5}] => {{1,3},{2,4},{5}}
[3,2,2,1,1] => [1,1,2,2,3] => [{1,2},{3,4},{5}] => {{1,2},{3,4},{5}}
[1,1,2,2,4] => [4,2,2,1,1] => [{4,5},{2,3},{1}] => {{1},{2,3},{4,5}}
[1,1,2,4,2] => [2,4,2,1,1] => [{4,5},{1,3},{2}] => {{1,3},{2},{4,5}}
[1,1,4,2,2] => [2,2,4,1,1] => [{4,5},{1,2},{3}] => {{1,2},{3},{4,5}}
[1,2,1,2,4] => [4,2,1,2,1] => [{3,5},{2,4},{1}] => {{1},{2,4},{3,5}}
[1,2,1,4,2] => [2,4,1,2,1] => [{3,5},{1,4},{2}] => {{1,4},{2},{3,5}}
[1,2,2,1,4] => [4,1,2,2,1] => [{2,5},{3,4},{1}] => {{1},{2,5},{3,4}}
[1,2,2,4,1] => [1,4,2,2,1] => [{1,5},{3,4},{2}] => {{1,5},{2},{3,4}}
[1,2,4,1,2] => [2,1,4,2,1] => [{2,5},{1,4},{3}] => {{1,4},{2,5},{3}}
[1,2,4,2,1] => [1,2,4,2,1] => [{1,5},{2,4},{3}] => {{1,5},{2,4},{3}}
[1,4,1,2,2] => [2,2,1,4,1] => [{3,5},{1,2},{4}] => {{1,2},{3,5},{4}}
[1,4,2,1,2] => [2,1,2,4,1] => [{2,5},{1,3},{4}] => {{1,3},{2,5},{4}}
[1,4,2,2,1] => [1,2,2,4,1] => [{1,5},{2,3},{4}] => {{1,5},{2,3},{4}}
[2,1,1,2,4] => [4,2,1,1,2] => [{3,4},{2,5},{1}] => {{1},{2,5},{3,4}}
[2,1,1,4,2] => [2,4,1,1,2] => [{3,4},{1,5},{2}] => {{1,5},{2},{3,4}}
[2,1,2,1,4] => [4,1,2,1,2] => [{2,4},{3,5},{1}] => {{1},{2,4},{3,5}}
[2,1,2,4,1] => [1,4,2,1,2] => [{1,4},{3,5},{2}] => {{1,4},{2},{3,5}}
[2,1,4,1,2] => [2,1,4,1,2] => [{2,4},{1,5},{3}] => {{1,5},{2,4},{3}}
[2,1,4,2,1] => [1,2,4,1,2] => [{1,4},{2,5},{3}] => {{1,4},{2,5},{3}}
[2,2,1,1,4] => [4,1,1,2,2] => [{2,3},{4,5},{1}] => {{1},{2,3},{4,5}}
[2,2,1,4,1] => [1,4,1,2,2] => [{1,3},{4,5},{2}] => {{1,3},{2},{4,5}}
[2,2,4,1,1] => [1,1,4,2,2] => [{1,2},{4,5},{3}] => {{1,2},{3},{4,5}}
[2,4,1,1,2] => [2,1,1,4,2] => [{2,3},{1,5},{4}] => {{1,5},{2,3},{4}}
[2,4,1,2,1] => [1,2,1,4,2] => [{1,3},{2,5},{4}] => {{1,3},{2,5},{4}}
[2,4,2,1,1] => [1,1,2,4,2] => [{1,2},{3,5},{4}] => {{1,2},{3,5},{4}}
[4,1,1,2,2] => [2,2,1,1,4] => [{3,4},{1,2},{5}] => {{1,2},{3,4},{5}}
[4,1,2,1,2] => [2,1,2,1,4] => [{2,4},{1,3},{5}] => {{1,3},{2,4},{5}}
[4,1,2,2,1] => [1,2,2,1,4] => [{1,4},{2,3},{5}] => {{1,4},{2,3},{5}}
[4,2,1,1,2] => [2,1,1,2,4] => [{2,3},{1,4},{5}] => {{1,4},{2,3},{5}}
[4,2,1,2,1] => [1,2,1,2,4] => [{1,3},{2,4},{5}] => {{1,3},{2,4},{5}}
[4,2,2,1,1] => [1,1,2,2,4] => [{1,2},{3,4},{5}] => {{1,2},{3,4},{5}}
[1,1,2,2,5] => [5,2,2,1,1] => [{4,5},{2,3},{1}] => {{1},{2,3},{4,5}}
[1,1,2,5,2] => [2,5,2,1,1] => [{4,5},{1,3},{2}] => {{1,3},{2},{4,5}}
[1,1,5,2,2] => [2,2,5,1,1] => [{4,5},{1,2},{3}] => {{1,2},{3},{4,5}}
[1,2,1,2,5] => [5,2,1,2,1] => [{3,5},{2,4},{1}] => {{1},{2,4},{3,5}}
[1,2,1,5,2] => [2,5,1,2,1] => [{3,5},{1,4},{2}] => {{1,4},{2},{3,5}}
[1,2,2,1,5] => [5,1,2,2,1] => [{2,5},{3,4},{1}] => {{1},{2,5},{3,4}}
[1,2,2,5,1] => [1,5,2,2,1] => [{1,5},{3,4},{2}] => {{1,5},{2},{3,4}}
[1,2,5,1,2] => [2,1,5,2,1] => [{2,5},{1,4},{3}] => {{1,4},{2,5},{3}}
[1,2,5,2,1] => [1,2,5,2,1] => [{1,5},{2,4},{3}] => {{1,5},{2,4},{3}}
[1,5,1,2,2] => [2,2,1,5,1] => [{3,5},{1,2},{4}] => {{1,2},{3,5},{4}}
[1,5,2,1,2] => [2,1,2,5,1] => [{2,5},{1,3},{4}] => {{1,3},{2,5},{4}}
[1,5,2,2,1] => [1,2,2,5,1] => [{1,5},{2,3},{4}] => {{1,5},{2,3},{4}}
[2,1,1,2,5] => [5,2,1,1,2] => [{3,4},{2,5},{1}] => {{1},{2,5},{3,4}}
[2,1,1,5,2] => [2,5,1,1,2] => [{3,4},{1,5},{2}] => {{1,5},{2},{3,4}}
[2,1,2,1,5] => [5,1,2,1,2] => [{2,4},{3,5},{1}] => {{1},{2,4},{3,5}}
[2,1,2,5,1] => [1,5,2,1,2] => [{1,4},{3,5},{2}] => {{1,4},{2},{3,5}}
[2,1,5,1,2] => [2,1,5,1,2] => [{2,4},{1,5},{3}] => {{1,5},{2,4},{3}}
[2,1,5,2,1] => [1,2,5,1,2] => [{1,4},{2,5},{3}] => {{1,4},{2,5},{3}}
[2,2,1,1,5] => [5,1,1,2,2] => [{2,3},{4,5},{1}] => {{1},{2,3},{4,5}}
[2,2,1,5,1] => [1,5,1,2,2] => [{1,3},{4,5},{2}] => {{1,3},{2},{4,5}}
[2,2,5,1,1] => [1,1,5,2,2] => [{1,2},{4,5},{3}] => {{1,2},{3},{4,5}}
[2,5,1,1,2] => [2,1,1,5,2] => [{2,3},{1,5},{4}] => {{1,5},{2,3},{4}}
[2,5,1,2,1] => [1,2,1,5,2] => [{1,3},{2,5},{4}] => {{1,3},{2,5},{4}}
[2,5,2,1,1] => [1,1,2,5,2] => [{1,2},{3,5},{4}] => {{1,2},{3,5},{4}}
[5,1,1,2,2] => [2,2,1,1,5] => [{3,4},{1,2},{5}] => {{1,2},{3,4},{5}}
[5,1,2,1,2] => [2,1,2,1,5] => [{2,4},{1,3},{5}] => {{1,3},{2,4},{5}}
[5,1,2,2,1] => [1,2,2,1,5] => [{1,4},{2,3},{5}] => {{1,4},{2,3},{5}}
[5,2,1,1,2] => [2,1,1,2,5] => [{2,3},{1,4},{5}] => {{1,4},{2,3},{5}}
[5,2,1,2,1] => [1,2,1,2,5] => [{1,3},{2,4},{5}] => {{1,3},{2,4},{5}}
[5,2,2,1,1] => [1,1,2,2,5] => [{1,2},{3,4},{5}] => {{1,2},{3,4},{5}}
[1,1,2,3,3] => [3,3,2,1,1] => [{4,5},{3},{1,2}] => {{1,2},{3},{4,5}}
[1,1,3,2,3] => [3,2,3,1,1] => [{4,5},{2},{1,3}] => {{1,3},{2},{4,5}}
[1,1,3,3,2] => [2,3,3,1,1] => [{4,5},{1},{2,3}] => {{1},{2,3},{4,5}}
[1,2,1,3,3] => [3,3,1,2,1] => [{3,5},{4},{1,2}] => {{1,2},{3,5},{4}}
[1,2,3,1,3] => [3,1,3,2,1] => [{2,5},{4},{1,3}] => {{1,3},{2,5},{4}}
[1,2,3,3,1] => [1,3,3,2,1] => [{1,5},{4},{2,3}] => {{1,5},{2,3},{4}}
[1,3,1,2,3] => [3,2,1,3,1] => [{3,5},{2},{1,4}] => {{1,4},{2},{3,5}}
[1,3,1,3,2] => [2,3,1,3,1] => [{3,5},{1},{2,4}] => {{1},{2,4},{3,5}}
[1,3,2,1,3] => [3,1,2,3,1] => [{2,5},{3},{1,4}] => {{1,4},{2,5},{3}}
[1,3,2,3,1] => [1,3,2,3,1] => [{1,5},{3},{2,4}] => {{1,5},{2,4},{3}}
[1,3,3,1,2] => [2,1,3,3,1] => [{2,5},{1},{3,4}] => {{1},{2,5},{3,4}}
[1,3,3,2,1] => [1,2,3,3,1] => [{1,5},{2},{3,4}] => {{1,5},{2},{3,4}}
[2,1,1,3,3] => [3,3,1,1,2] => [{3,4},{5},{1,2}] => {{1,2},{3,4},{5}}
[2,1,3,1,3] => [3,1,3,1,2] => [{2,4},{5},{1,3}] => {{1,3},{2,4},{5}}
[2,1,3,3,1] => [1,3,3,1,2] => [{1,4},{5},{2,3}] => {{1,4},{2,3},{5}}
[2,3,1,1,3] => [3,1,1,3,2] => [{2,3},{5},{1,4}] => {{1,4},{2,3},{5}}
[2,3,1,3,1] => [1,3,1,3,2] => [{1,3},{5},{2,4}] => {{1,3},{2,4},{5}}
[2,3,3,1,1] => [1,1,3,3,2] => [{1,2},{5},{3,4}] => {{1,2},{3,4},{5}}
[3,1,1,2,3] => [3,2,1,1,3] => [{3,4},{2},{1,5}] => {{1,5},{2},{3,4}}
[3,1,1,3,2] => [2,3,1,1,3] => [{3,4},{1},{2,5}] => {{1},{2,5},{3,4}}
[3,1,2,1,3] => [3,1,2,1,3] => [{2,4},{3},{1,5}] => {{1,5},{2,4},{3}}
[3,1,2,3,1] => [1,3,2,1,3] => [{1,4},{3},{2,5}] => {{1,4},{2,5},{3}}
[3,1,3,1,2] => [2,1,3,1,3] => [{2,4},{1},{3,5}] => {{1},{2,4},{3,5}}
[3,1,3,2,1] => [1,2,3,1,3] => [{1,4},{2},{3,5}] => {{1,4},{2},{3,5}}
[3,2,1,1,3] => [3,1,1,2,3] => [{2,3},{4},{1,5}] => {{1,5},{2,3},{4}}
[3,2,1,3,1] => [1,3,1,2,3] => [{1,3},{4},{2,5}] => {{1,3},{2,5},{4}}
[3,2,3,1,1] => [1,1,3,2,3] => [{1,2},{4},{3,5}] => {{1,2},{3,5},{4}}
[3,3,1,1,2] => [2,1,1,3,3] => [{2,3},{1},{4,5}] => {{1},{2,3},{4,5}}
[3,3,1,2,1] => [1,2,1,3,3] => [{1,3},{2},{4,5}] => {{1,3},{2},{4,5}}
[3,3,2,1,1] => [1,1,2,3,3] => [{1,2},{3},{4,5}] => {{1,2},{3},{4,5}}
[1,1,2,3,4] => [4,3,2,1,1] => [{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5}}
[1,1,2,4,3] => [3,4,2,1,1] => [{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5}}
[1,1,3,2,4] => [4,2,3,1,1] => [{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5}}
[1,1,3,4,2] => [2,4,3,1,1] => [{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5}}
[1,1,4,2,3] => [3,2,4,1,1] => [{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5}}
[1,1,4,3,2] => [2,3,4,1,1] => [{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5}}
[1,2,1,3,4] => [4,3,1,2,1] => [{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4}}
[1,2,1,4,3] => [3,4,1,2,1] => [{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4}}
[1,2,3,1,4] => [4,1,3,2,1] => [{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4}}
[1,2,3,4,1] => [1,4,3,2,1] => [{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4}}
[1,2,4,1,3] => [3,1,4,2,1] => [{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4}}
[1,2,4,3,1] => [1,3,4,2,1] => [{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4}}
[1,3,1,2,4] => [4,2,1,3,1] => [{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4}}
[1,3,1,4,2] => [2,4,1,3,1] => [{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4}}
[1,3,2,1,4] => [4,1,2,3,1] => [{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4}}
[1,3,2,4,1] => [1,4,2,3,1] => [{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4}}
[1,3,4,1,2] => [2,1,4,3,1] => [{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4}}
[1,3,4,2,1] => [1,2,4,3,1] => [{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4}}
[1,4,1,2,3] => [3,2,1,4,1] => [{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4}}
[1,4,1,3,2] => [2,3,1,4,1] => [{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4}}
[1,4,2,1,3] => [3,1,2,4,1] => [{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4}}
[1,4,2,3,1] => [1,3,2,4,1] => [{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4}}
[1,4,3,1,2] => [2,1,3,4,1] => [{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4}}
[1,4,3,2,1] => [1,2,3,4,1] => [{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4}}
[2,1,1,3,4] => [4,3,1,1,2] => [{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5}}
[2,1,1,4,3] => [3,4,1,1,2] => [{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5}}
[2,1,3,1,4] => [4,1,3,1,2] => [{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5}}
[2,1,3,4,1] => [1,4,3,1,2] => [{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5}}
[2,1,4,1,3] => [3,1,4,1,2] => [{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5}}
[2,1,4,3,1] => [1,3,4,1,2] => [{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5}}
[2,3,1,1,4] => [4,1,1,3,2] => [{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5}}
[2,3,1,4,1] => [1,4,1,3,2] => [{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5}}
[2,3,4,1,1] => [1,1,4,3,2] => [{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5}}
[2,4,1,1,3] => [3,1,1,4,2] => [{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5}}
[2,4,1,3,1] => [1,3,1,4,2] => [{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5}}
[2,4,3,1,1] => [1,1,3,4,2] => [{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5}}
[3,1,1,2,4] => [4,2,1,1,3] => [{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5}}
[3,1,1,4,2] => [2,4,1,1,3] => [{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5}}
[3,1,2,1,4] => [4,1,2,1,3] => [{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5}}
[3,1,2,4,1] => [1,4,2,1,3] => [{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5}}
[3,1,4,1,2] => [2,1,4,1,3] => [{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5}}
[3,1,4,2,1] => [1,2,4,1,3] => [{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5}}
[3,2,1,1,4] => [4,1,1,2,3] => [{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5}}
[3,2,1,4,1] => [1,4,1,2,3] => [{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5}}
[3,2,4,1,1] => [1,1,4,2,3] => [{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5}}
[3,4,1,1,2] => [2,1,1,4,3] => [{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5}}
[3,4,1,2,1] => [1,2,1,4,3] => [{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5}}
[3,4,2,1,1] => [1,1,2,4,3] => [{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5}}
[4,1,1,2,3] => [3,2,1,1,4] => [{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5}}
[4,1,1,3,2] => [2,3,1,1,4] => [{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5}}
[4,1,2,1,3] => [3,1,2,1,4] => [{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5}}
[4,1,2,3,1] => [1,3,2,1,4] => [{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5}}
[4,1,3,1,2] => [2,1,3,1,4] => [{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5}}
[4,1,3,2,1] => [1,2,3,1,4] => [{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5}}
[4,2,1,1,3] => [3,1,1,2,4] => [{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5}}
[4,2,1,3,1] => [1,3,1,2,4] => [{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5}}
[4,2,3,1,1] => [1,1,3,2,4] => [{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5}}
[4,3,1,1,2] => [2,1,1,3,4] => [{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5}}
[4,3,1,2,1] => [1,2,1,3,4] => [{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5}}
[4,3,2,1,1] => [1,1,2,3,4] => [{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5}}
[1,1,2,3,5] => [5,3,2,1,1] => [{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5}}
[1,1,2,5,3] => [3,5,2,1,1] => [{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5}}
[1,1,3,2,5] => [5,2,3,1,1] => [{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5}}
[1,1,3,5,2] => [2,5,3,1,1] => [{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5}}
[1,1,5,2,3] => [3,2,5,1,1] => [{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5}}
[1,1,5,3,2] => [2,3,5,1,1] => [{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5}}
[1,2,1,3,5] => [5,3,1,2,1] => [{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4}}
[1,2,1,5,3] => [3,5,1,2,1] => [{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4}}
[1,2,3,1,5] => [5,1,3,2,1] => [{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4}}
[1,2,3,5,1] => [1,5,3,2,1] => [{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4}}
[1,2,5,1,3] => [3,1,5,2,1] => [{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4}}
[1,2,5,3,1] => [1,3,5,2,1] => [{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4}}
[1,3,1,2,5] => [5,2,1,3,1] => [{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4}}
[1,3,1,5,2] => [2,5,1,3,1] => [{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4}}
[1,3,2,1,5] => [5,1,2,3,1] => [{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4}}
[1,3,2,5,1] => [1,5,2,3,1] => [{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4}}
[1,3,5,1,2] => [2,1,5,3,1] => [{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4}}
[1,3,5,2,1] => [1,2,5,3,1] => [{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4}}
[1,5,1,2,3] => [3,2,1,5,1] => [{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4}}
[1,5,1,3,2] => [2,3,1,5,1] => [{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4}}
[1,5,2,1,3] => [3,1,2,5,1] => [{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4}}
[1,5,2,3,1] => [1,3,2,5,1] => [{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4}}
[1,5,3,1,2] => [2,1,3,5,1] => [{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4}}
[1,5,3,2,1] => [1,2,3,5,1] => [{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4}}
[2,1,1,3,5] => [5,3,1,1,2] => [{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5}}
[2,1,1,5,3] => [3,5,1,1,2] => [{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5}}
[2,1,3,1,5] => [5,1,3,1,2] => [{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5}}
[2,1,3,5,1] => [1,5,3,1,2] => [{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5}}
[2,1,5,1,3] => [3,1,5,1,2] => [{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5}}
[2,1,5,3,1] => [1,3,5,1,2] => [{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5}}
[2,3,1,1,5] => [5,1,1,3,2] => [{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5}}
[2,3,1,5,1] => [1,5,1,3,2] => [{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5}}
[2,3,5,1,1] => [1,1,5,3,2] => [{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5}}
[2,5,1,1,3] => [3,1,1,5,2] => [{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5}}
[2,5,1,3,1] => [1,3,1,5,2] => [{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5}}
[2,5,3,1,1] => [1,1,3,5,2] => [{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5}}
[3,1,1,2,5] => [5,2,1,1,3] => [{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5}}
[3,1,1,5,2] => [2,5,1,1,3] => [{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5}}
[3,1,2,1,5] => [5,1,2,1,3] => [{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5}}
[3,1,2,5,1] => [1,5,2,1,3] => [{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5}}
[3,1,5,1,2] => [2,1,5,1,3] => [{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5}}
[3,1,5,2,1] => [1,2,5,1,3] => [{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5}}
[3,2,1,1,5] => [5,1,1,2,3] => [{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5}}
[3,2,1,5,1] => [1,5,1,2,3] => [{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5}}
[3,2,5,1,1] => [1,1,5,2,3] => [{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5}}
[3,5,1,1,2] => [2,1,1,5,3] => [{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5}}
[3,5,1,2,1] => [1,2,1,5,3] => [{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5}}
[3,5,2,1,1] => [1,1,2,5,3] => [{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5}}
[5,1,1,2,3] => [3,2,1,1,5] => [{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5}}
[5,1,1,3,2] => [2,3,1,1,5] => [{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5}}
[5,1,2,1,3] => [3,1,2,1,5] => [{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5}}
[5,1,2,3,1] => [1,3,2,1,5] => [{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5}}
[5,1,3,1,2] => [2,1,3,1,5] => [{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5}}
[5,1,3,2,1] => [1,2,3,1,5] => [{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5}}
[5,2,1,1,3] => [3,1,1,2,5] => [{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5}}
[5,2,1,3,1] => [1,3,1,2,5] => [{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5}}
[5,2,3,1,1] => [1,1,3,2,5] => [{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5}}
[5,3,1,1,2] => [2,1,1,3,5] => [{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5}}
[5,3,1,2,1] => [1,2,1,3,5] => [{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5}}
[5,3,2,1,1] => [1,1,2,3,5] => [{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5}}
[1,1,2,4,4] => [4,4,2,1,1] => [{4,5},{3},{1,2}] => {{1,2},{3},{4,5}}
[1,1,4,2,4] => [4,2,4,1,1] => [{4,5},{2},{1,3}] => {{1,3},{2},{4,5}}
[1,1,4,4,2] => [2,4,4,1,1] => [{4,5},{1},{2,3}] => {{1},{2,3},{4,5}}
[1,2,1,4,4] => [4,4,1,2,1] => [{3,5},{4},{1,2}] => {{1,2},{3,5},{4}}
[1,2,4,1,4] => [4,1,4,2,1] => [{2,5},{4},{1,3}] => {{1,3},{2,5},{4}}
[1,2,4,4,1] => [1,4,4,2,1] => [{1,5},{4},{2,3}] => {{1,5},{2,3},{4}}
[1,4,1,2,4] => [4,2,1,4,1] => [{3,5},{2},{1,4}] => {{1,4},{2},{3,5}}
[1,4,1,4,2] => [2,4,1,4,1] => [{3,5},{1},{2,4}] => {{1},{2,4},{3,5}}
[1,4,2,1,4] => [4,1,2,4,1] => [{2,5},{3},{1,4}] => {{1,4},{2,5},{3}}
[1,4,2,4,1] => [1,4,2,4,1] => [{1,5},{3},{2,4}] => {{1,5},{2,4},{3}}
[1,4,4,1,2] => [2,1,4,4,1] => [{2,5},{1},{3,4}] => {{1},{2,5},{3,4}}
[1,4,4,2,1] => [1,2,4,4,1] => [{1,5},{2},{3,4}] => {{1,5},{2},{3,4}}
[2,1,1,4,4] => [4,4,1,1,2] => [{3,4},{5},{1,2}] => {{1,2},{3,4},{5}}
[2,1,4,1,4] => [4,1,4,1,2] => [{2,4},{5},{1,3}] => {{1,3},{2,4},{5}}
[2,1,4,4,1] => [1,4,4,1,2] => [{1,4},{5},{2,3}] => {{1,4},{2,3},{5}}
[2,4,1,1,4] => [4,1,1,4,2] => [{2,3},{5},{1,4}] => {{1,4},{2,3},{5}}
[2,4,1,4,1] => [1,4,1,4,2] => [{1,3},{5},{2,4}] => {{1,3},{2,4},{5}}
[2,4,4,1,1] => [1,1,4,4,2] => [{1,2},{5},{3,4}] => {{1,2},{3,4},{5}}
[4,1,1,2,4] => [4,2,1,1,4] => [{3,4},{2},{1,5}] => {{1,5},{2},{3,4}}
[4,1,1,4,2] => [2,4,1,1,4] => [{3,4},{1},{2,5}] => {{1},{2,5},{3,4}}
[4,1,2,1,4] => [4,1,2,1,4] => [{2,4},{3},{1,5}] => {{1,5},{2,4},{3}}
[4,1,2,4,1] => [1,4,2,1,4] => [{1,4},{3},{2,5}] => {{1,4},{2,5},{3}}
[4,1,4,1,2] => [2,1,4,1,4] => [{2,4},{1},{3,5}] => {{1},{2,4},{3,5}}
[4,1,4,2,1] => [1,2,4,1,4] => [{1,4},{2},{3,5}] => {{1,4},{2},{3,5}}
[4,2,1,1,4] => [4,1,1,2,4] => [{2,3},{4},{1,5}] => {{1,5},{2,3},{4}}
[4,2,1,4,1] => [1,4,1,2,4] => [{1,3},{4},{2,5}] => {{1,3},{2,5},{4}}
[4,2,4,1,1] => [1,1,4,2,4] => [{1,2},{4},{3,5}] => {{1,2},{3,5},{4}}
[4,4,1,1,2] => [2,1,1,4,4] => [{2,3},{1},{4,5}] => {{1},{2,3},{4,5}}
[4,4,1,2,1] => [1,2,1,4,4] => [{1,3},{2},{4,5}] => {{1,3},{2},{4,5}}
[4,4,2,1,1] => [1,1,2,4,4] => [{1,2},{3},{4,5}] => {{1,2},{3},{4,5}}
[1,1,2,4,5] => [5,4,2,1,1] => [{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5}}
[1,1,2,5,4] => [4,5,2,1,1] => [{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5}}
[1,1,4,2,5] => [5,2,4,1,1] => [{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5}}
[1,1,4,5,2] => [2,5,4,1,1] => [{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5}}
[1,1,5,2,4] => [4,2,5,1,1] => [{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5}}
[1,1,5,4,2] => [2,4,5,1,1] => [{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5}}
[1,2,1,4,5] => [5,4,1,2,1] => [{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4}}
[1,2,1,5,4] => [4,5,1,2,1] => [{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4}}
[1,2,4,1,5] => [5,1,4,2,1] => [{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4}}
[1,2,4,5,1] => [1,5,4,2,1] => [{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4}}
[1,2,5,1,4] => [4,1,5,2,1] => [{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4}}
[1,2,5,4,1] => [1,4,5,2,1] => [{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4}}
[1,4,1,2,5] => [5,2,1,4,1] => [{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4}}
[1,4,1,5,2] => [2,5,1,4,1] => [{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4}}
[1,4,2,1,5] => [5,1,2,4,1] => [{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4}}
[1,4,2,5,1] => [1,5,2,4,1] => [{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4}}
[1,4,5,1,2] => [2,1,5,4,1] => [{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4}}
[1,4,5,2,1] => [1,2,5,4,1] => [{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4}}
[1,5,1,2,4] => [4,2,1,5,1] => [{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4}}
[1,5,1,4,2] => [2,4,1,5,1] => [{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4}}
[1,5,2,1,4] => [4,1,2,5,1] => [{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4}}
[1,5,2,4,1] => [1,4,2,5,1] => [{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4}}
[1,5,4,1,2] => [2,1,4,5,1] => [{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4}}
[1,5,4,2,1] => [1,2,4,5,1] => [{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4}}
[2,1,1,4,5] => [5,4,1,1,2] => [{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5}}
[2,1,1,5,4] => [4,5,1,1,2] => [{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5}}
[2,1,4,1,5] => [5,1,4,1,2] => [{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5}}
[2,1,4,5,1] => [1,5,4,1,2] => [{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5}}
[2,1,5,1,4] => [4,1,5,1,2] => [{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5}}
[2,1,5,4,1] => [1,4,5,1,2] => [{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5}}
[2,4,1,1,5] => [5,1,1,4,2] => [{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5}}
[2,4,1,5,1] => [1,5,1,4,2] => [{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5}}
[2,4,5,1,1] => [1,1,5,4,2] => [{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5}}
[2,5,1,1,4] => [4,1,1,5,2] => [{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5}}
[2,5,1,4,1] => [1,4,1,5,2] => [{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5}}
[2,5,4,1,1] => [1,1,4,5,2] => [{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5}}
[4,1,1,2,5] => [5,2,1,1,4] => [{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5}}
[4,1,1,5,2] => [2,5,1,1,4] => [{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5}}
[4,1,2,1,5] => [5,1,2,1,4] => [{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5}}
[4,1,2,5,1] => [1,5,2,1,4] => [{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5}}
[4,1,5,1,2] => [2,1,5,1,4] => [{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5}}
[4,1,5,2,1] => [1,2,5,1,4] => [{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5}}
[4,2,1,1,5] => [5,1,1,2,4] => [{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5}}
[4,2,1,5,1] => [1,5,1,2,4] => [{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5}}
[4,2,5,1,1] => [1,1,5,2,4] => [{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5}}
[4,5,1,1,2] => [2,1,1,5,4] => [{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5}}
[4,5,1,2,1] => [1,2,1,5,4] => [{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5}}
[4,5,2,1,1] => [1,1,2,5,4] => [{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5}}
[5,1,1,2,4] => [4,2,1,1,5] => [{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5}}
[5,1,1,4,2] => [2,4,1,1,5] => [{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5}}
[5,1,2,1,4] => [4,1,2,1,5] => [{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5}}
[5,1,2,4,1] => [1,4,2,1,5] => [{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5}}
[5,1,4,1,2] => [2,1,4,1,5] => [{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5}}
[5,1,4,2,1] => [1,2,4,1,5] => [{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5}}
[5,2,1,1,4] => [4,1,1,2,5] => [{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5}}
[5,2,1,4,1] => [1,4,1,2,5] => [{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5}}
[5,2,4,1,1] => [1,1,4,2,5] => [{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5}}
[5,4,1,1,2] => [2,1,1,4,5] => [{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5}}
[5,4,1,2,1] => [1,2,1,4,5] => [{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5}}
[5,4,2,1,1] => [1,1,2,4,5] => [{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5}}
[1,1,3,3,3] => [3,3,3,1,1] => [{4,5},{1,2,3}] => {{1,2,3},{4,5}}
[1,3,1,3,3] => [3,3,1,3,1] => [{3,5},{1,2,4}] => {{1,2,4},{3,5}}
[1,3,3,1,3] => [3,1,3,3,1] => [{2,5},{1,3,4}] => {{1,3,4},{2,5}}
[1,3,3,3,1] => [1,3,3,3,1] => [{1,5},{2,3,4}] => {{1,5},{2,3,4}}
[3,1,1,3,3] => [3,3,1,1,3] => [{3,4},{1,2,5}] => {{1,2,5},{3,4}}
[3,1,3,1,3] => [3,1,3,1,3] => [{2,4},{1,3,5}] => {{1,3,5},{2,4}}
[3,1,3,3,1] => [1,3,3,1,3] => [{1,4},{2,3,5}] => {{1,4},{2,3,5}}
[3,3,1,1,3] => [3,1,1,3,3] => [{2,3},{1,4,5}] => {{1,4,5},{2,3}}
[3,3,1,3,1] => [1,3,1,3,3] => [{1,3},{2,4,5}] => {{1,3},{2,4,5}}
[3,3,3,1,1] => [1,1,3,3,3] => [{1,2},{3,4,5}] => {{1,2},{3,4,5}}
[1,1,3,3,4] => [4,3,3,1,1] => [{4,5},{2,3},{1}] => {{1},{2,3},{4,5}}
[1,1,3,4,3] => [3,4,3,1,1] => [{4,5},{1,3},{2}] => {{1,3},{2},{4,5}}
[1,1,4,3,3] => [3,3,4,1,1] => [{4,5},{1,2},{3}] => {{1,2},{3},{4,5}}
[1,3,1,3,4] => [4,3,1,3,1] => [{3,5},{2,4},{1}] => {{1},{2,4},{3,5}}
[1,3,1,4,3] => [3,4,1,3,1] => [{3,5},{1,4},{2}] => {{1,4},{2},{3,5}}
[1,3,3,1,4] => [4,1,3,3,1] => [{2,5},{3,4},{1}] => {{1},{2,5},{3,4}}
[1,3,3,4,1] => [1,4,3,3,1] => [{1,5},{3,4},{2}] => {{1,5},{2},{3,4}}
[1,3,4,1,3] => [3,1,4,3,1] => [{2,5},{1,4},{3}] => {{1,4},{2,5},{3}}
[1,3,4,3,1] => [1,3,4,3,1] => [{1,5},{2,4},{3}] => {{1,5},{2,4},{3}}
[1,4,1,3,3] => [3,3,1,4,1] => [{3,5},{1,2},{4}] => {{1,2},{3,5},{4}}
[1,4,3,1,3] => [3,1,3,4,1] => [{2,5},{1,3},{4}] => {{1,3},{2,5},{4}}
[1,4,3,3,1] => [1,3,3,4,1] => [{1,5},{2,3},{4}] => {{1,5},{2,3},{4}}
[3,1,1,3,4] => [4,3,1,1,3] => [{3,4},{2,5},{1}] => {{1},{2,5},{3,4}}
[3,1,1,4,3] => [3,4,1,1,3] => [{3,4},{1,5},{2}] => {{1,5},{2},{3,4}}
[3,1,3,1,4] => [4,1,3,1,3] => [{2,4},{3,5},{1}] => {{1},{2,4},{3,5}}
[3,1,3,4,1] => [1,4,3,1,3] => [{1,4},{3,5},{2}] => {{1,4},{2},{3,5}}
[3,1,4,1,3] => [3,1,4,1,3] => [{2,4},{1,5},{3}] => {{1,5},{2,4},{3}}
[3,1,4,3,1] => [1,3,4,1,3] => [{1,4},{2,5},{3}] => {{1,4},{2,5},{3}}
[3,3,1,1,4] => [4,1,1,3,3] => [{2,3},{4,5},{1}] => {{1},{2,3},{4,5}}
[3,3,1,4,1] => [1,4,1,3,3] => [{1,3},{4,5},{2}] => {{1,3},{2},{4,5}}
[3,3,4,1,1] => [1,1,4,3,3] => [{1,2},{4,5},{3}] => {{1,2},{3},{4,5}}
[3,4,1,1,3] => [3,1,1,4,3] => [{2,3},{1,5},{4}] => {{1,5},{2,3},{4}}
[3,4,1,3,1] => [1,3,1,4,3] => [{1,3},{2,5},{4}] => {{1,3},{2,5},{4}}
[3,4,3,1,1] => [1,1,3,4,3] => [{1,2},{3,5},{4}] => {{1,2},{3,5},{4}}
[4,1,1,3,3] => [3,3,1,1,4] => [{3,4},{1,2},{5}] => {{1,2},{3,4},{5}}
[4,1,3,1,3] => [3,1,3,1,4] => [{2,4},{1,3},{5}] => {{1,3},{2,4},{5}}
[4,1,3,3,1] => [1,3,3,1,4] => [{1,4},{2,3},{5}] => {{1,4},{2,3},{5}}
[4,3,1,1,3] => [3,1,1,3,4] => [{2,3},{1,4},{5}] => {{1,4},{2,3},{5}}
[4,3,1,3,1] => [1,3,1,3,4] => [{1,3},{2,4},{5}] => {{1,3},{2,4},{5}}
[4,3,3,1,1] => [1,1,3,3,4] => [{1,2},{3,4},{5}] => {{1,2},{3,4},{5}}
[1,1,3,3,5] => [5,3,3,1,1] => [{4,5},{2,3},{1}] => {{1},{2,3},{4,5}}
[1,1,3,5,3] => [3,5,3,1,1] => [{4,5},{1,3},{2}] => {{1,3},{2},{4,5}}
[1,1,5,3,3] => [3,3,5,1,1] => [{4,5},{1,2},{3}] => {{1,2},{3},{4,5}}
[1,3,1,3,5] => [5,3,1,3,1] => [{3,5},{2,4},{1}] => {{1},{2,4},{3,5}}
[1,3,1,5,3] => [3,5,1,3,1] => [{3,5},{1,4},{2}] => {{1,4},{2},{3,5}}
[1,3,3,1,5] => [5,1,3,3,1] => [{2,5},{3,4},{1}] => {{1},{2,5},{3,4}}
[1,3,3,5,1] => [1,5,3,3,1] => [{1,5},{3,4},{2}] => {{1,5},{2},{3,4}}
[1,3,5,1,3] => [3,1,5,3,1] => [{2,5},{1,4},{3}] => {{1,4},{2,5},{3}}
[1,3,5,3,1] => [1,3,5,3,1] => [{1,5},{2,4},{3}] => {{1,5},{2,4},{3}}
[1,5,1,3,3] => [3,3,1,5,1] => [{3,5},{1,2},{4}] => {{1,2},{3,5},{4}}
[1,5,3,1,3] => [3,1,3,5,1] => [{2,5},{1,3},{4}] => {{1,3},{2,5},{4}}
[1,5,3,3,1] => [1,3,3,5,1] => [{1,5},{2,3},{4}] => {{1,5},{2,3},{4}}
[3,1,1,3,5] => [5,3,1,1,3] => [{3,4},{2,5},{1}] => {{1},{2,5},{3,4}}
[3,1,1,5,3] => [3,5,1,1,3] => [{3,4},{1,5},{2}] => {{1,5},{2},{3,4}}
[3,1,3,1,5] => [5,1,3,1,3] => [{2,4},{3,5},{1}] => {{1},{2,4},{3,5}}
[3,1,3,5,1] => [1,5,3,1,3] => [{1,4},{3,5},{2}] => {{1,4},{2},{3,5}}
[3,1,5,1,3] => [3,1,5,1,3] => [{2,4},{1,5},{3}] => {{1,5},{2,4},{3}}
[3,1,5,3,1] => [1,3,5,1,3] => [{1,4},{2,5},{3}] => {{1,4},{2,5},{3}}
[3,3,1,1,5] => [5,1,1,3,3] => [{2,3},{4,5},{1}] => {{1},{2,3},{4,5}}
[3,3,1,5,1] => [1,5,1,3,3] => [{1,3},{4,5},{2}] => {{1,3},{2},{4,5}}
[3,3,5,1,1] => [1,1,5,3,3] => [{1,2},{4,5},{3}] => {{1,2},{3},{4,5}}
[3,5,1,1,3] => [3,1,1,5,3] => [{2,3},{1,5},{4}] => {{1,5},{2,3},{4}}
[3,5,1,3,1] => [1,3,1,5,3] => [{1,3},{2,5},{4}] => {{1,3},{2,5},{4}}
[3,5,3,1,1] => [1,1,3,5,3] => [{1,2},{3,5},{4}] => {{1,2},{3,5},{4}}
[5,1,1,3,3] => [3,3,1,1,5] => [{3,4},{1,2},{5}] => {{1,2},{3,4},{5}}
[5,1,3,1,3] => [3,1,3,1,5] => [{2,4},{1,3},{5}] => {{1,3},{2,4},{5}}
[5,1,3,3,1] => [1,3,3,1,5] => [{1,4},{2,3},{5}] => {{1,4},{2,3},{5}}
[5,3,1,1,3] => [3,1,1,3,5] => [{2,3},{1,4},{5}] => {{1,4},{2,3},{5}}
[5,3,1,3,1] => [1,3,1,3,5] => [{1,3},{2,4},{5}] => {{1,3},{2,4},{5}}
[5,3,3,1,1] => [1,1,3,3,5] => [{1,2},{3,4},{5}] => {{1,2},{3,4},{5}}
[1,1,3,4,4] => [4,4,3,1,1] => [{4,5},{3},{1,2}] => {{1,2},{3},{4,5}}
[1,1,4,3,4] => [4,3,4,1,1] => [{4,5},{2},{1,3}] => {{1,3},{2},{4,5}}
[1,1,4,4,3] => [3,4,4,1,1] => [{4,5},{1},{2,3}] => {{1},{2,3},{4,5}}
[1,3,1,4,4] => [4,4,1,3,1] => [{3,5},{4},{1,2}] => {{1,2},{3,5},{4}}
[1,3,4,1,4] => [4,1,4,3,1] => [{2,5},{4},{1,3}] => {{1,3},{2,5},{4}}
[1,3,4,4,1] => [1,4,4,3,1] => [{1,5},{4},{2,3}] => {{1,5},{2,3},{4}}
[1,4,1,3,4] => [4,3,1,4,1] => [{3,5},{2},{1,4}] => {{1,4},{2},{3,5}}
[1,4,1,4,3] => [3,4,1,4,1] => [{3,5},{1},{2,4}] => {{1},{2,4},{3,5}}
[1,4,3,1,4] => [4,1,3,4,1] => [{2,5},{3},{1,4}] => {{1,4},{2,5},{3}}
[1,4,3,4,1] => [1,4,3,4,1] => [{1,5},{3},{2,4}] => {{1,5},{2,4},{3}}
[1,4,4,1,3] => [3,1,4,4,1] => [{2,5},{1},{3,4}] => {{1},{2,5},{3,4}}
[1,4,4,3,1] => [1,3,4,4,1] => [{1,5},{2},{3,4}] => {{1,5},{2},{3,4}}
[3,1,1,4,4] => [4,4,1,1,3] => [{3,4},{5},{1,2}] => {{1,2},{3,4},{5}}
[3,1,4,1,4] => [4,1,4,1,3] => [{2,4},{5},{1,3}] => {{1,3},{2,4},{5}}
[3,1,4,4,1] => [1,4,4,1,3] => [{1,4},{5},{2,3}] => {{1,4},{2,3},{5}}
[3,4,1,1,4] => [4,1,1,4,3] => [{2,3},{5},{1,4}] => {{1,4},{2,3},{5}}
[3,4,1,4,1] => [1,4,1,4,3] => [{1,3},{5},{2,4}] => {{1,3},{2,4},{5}}
[3,4,4,1,1] => [1,1,4,4,3] => [{1,2},{5},{3,4}] => {{1,2},{3,4},{5}}
[4,1,1,3,4] => [4,3,1,1,4] => [{3,4},{2},{1,5}] => {{1,5},{2},{3,4}}
[4,1,1,4,3] => [3,4,1,1,4] => [{3,4},{1},{2,5}] => {{1},{2,5},{3,4}}
[4,1,3,1,4] => [4,1,3,1,4] => [{2,4},{3},{1,5}] => {{1,5},{2,4},{3}}
[4,1,3,4,1] => [1,4,3,1,4] => [{1,4},{3},{2,5}] => {{1,4},{2,5},{3}}
[4,1,4,1,3] => [3,1,4,1,4] => [{2,4},{1},{3,5}] => {{1},{2,4},{3,5}}
[4,1,4,3,1] => [1,3,4,1,4] => [{1,4},{2},{3,5}] => {{1,4},{2},{3,5}}
[4,3,1,1,4] => [4,1,1,3,4] => [{2,3},{4},{1,5}] => {{1,5},{2,3},{4}}
[4,3,1,4,1] => [1,4,1,3,4] => [{1,3},{4},{2,5}] => {{1,3},{2,5},{4}}
[4,3,4,1,1] => [1,1,4,3,4] => [{1,2},{4},{3,5}] => {{1,2},{3,5},{4}}
[4,4,1,1,3] => [3,1,1,4,4] => [{2,3},{1},{4,5}] => {{1},{2,3},{4,5}}
[4,4,1,3,1] => [1,3,1,4,4] => [{1,3},{2},{4,5}] => {{1,3},{2},{4,5}}
[4,4,3,1,1] => [1,1,3,4,4] => [{1,2},{3},{4,5}] => {{1,2},{3},{4,5}}
[1,1,3,4,5] => [5,4,3,1,1] => [{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5}}
[1,1,3,5,4] => [4,5,3,1,1] => [{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5}}
[1,1,4,3,5] => [5,3,4,1,1] => [{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5}}
[1,1,4,5,3] => [3,5,4,1,1] => [{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5}}
[1,1,5,3,4] => [4,3,5,1,1] => [{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5}}
[1,1,5,4,3] => [3,4,5,1,1] => [{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5}}
[1,3,1,4,5] => [5,4,1,3,1] => [{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4}}
[1,3,1,5,4] => [4,5,1,3,1] => [{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4}}
[1,3,4,1,5] => [5,1,4,3,1] => [{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4}}
[1,3,4,5,1] => [1,5,4,3,1] => [{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4}}
[1,3,5,1,4] => [4,1,5,3,1] => [{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4}}
[1,3,5,4,1] => [1,4,5,3,1] => [{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4}}
[1,4,1,3,5] => [5,3,1,4,1] => [{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4}}
[1,4,1,5,3] => [3,5,1,4,1] => [{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4}}
[1,4,3,1,5] => [5,1,3,4,1] => [{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4}}
[1,4,3,5,1] => [1,5,3,4,1] => [{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4}}
[1,4,5,1,3] => [3,1,5,4,1] => [{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4}}
[1,4,5,3,1] => [1,3,5,4,1] => [{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4}}
[1,5,1,3,4] => [4,3,1,5,1] => [{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4}}
[1,5,1,4,3] => [3,4,1,5,1] => [{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4}}
[1,5,3,1,4] => [4,1,3,5,1] => [{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4}}
[1,5,3,4,1] => [1,4,3,5,1] => [{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4}}
[1,5,4,1,3] => [3,1,4,5,1] => [{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4}}
[1,5,4,3,1] => [1,3,4,5,1] => [{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4}}
[3,1,1,4,5] => [5,4,1,1,3] => [{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5}}
[3,1,1,5,4] => [4,5,1,1,3] => [{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5}}
[3,1,4,1,5] => [5,1,4,1,3] => [{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5}}
[3,1,4,5,1] => [1,5,4,1,3] => [{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5}}
[3,1,5,1,4] => [4,1,5,1,3] => [{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5}}
[3,1,5,4,1] => [1,4,5,1,3] => [{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5}}
[3,4,1,1,5] => [5,1,1,4,3] => [{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5}}
[3,4,1,5,1] => [1,5,1,4,3] => [{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5}}
[3,4,5,1,1] => [1,1,5,4,3] => [{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5}}
[3,5,1,1,4] => [4,1,1,5,3] => [{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5}}
[3,5,1,4,1] => [1,4,1,5,3] => [{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5}}
[3,5,4,1,1] => [1,1,4,5,3] => [{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5}}
[4,1,1,3,5] => [5,3,1,1,4] => [{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5}}
[4,1,1,5,3] => [3,5,1,1,4] => [{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5}}
[4,1,3,1,5] => [5,1,3,1,4] => [{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5}}
[4,1,3,5,1] => [1,5,3,1,4] => [{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5}}
[4,1,5,1,3] => [3,1,5,1,4] => [{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5}}
[4,1,5,3,1] => [1,3,5,1,4] => [{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5}}
[4,3,1,1,5] => [5,1,1,3,4] => [{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5}}
[4,3,1,5,1] => [1,5,1,3,4] => [{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5}}
[4,3,5,1,1] => [1,1,5,3,4] => [{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5}}
[4,5,1,1,3] => [3,1,1,5,4] => [{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5}}
[4,5,1,3,1] => [1,3,1,5,4] => [{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5}}
[4,5,3,1,1] => [1,1,3,5,4] => [{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5}}
[5,1,1,3,4] => [4,3,1,1,5] => [{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5}}
[5,1,1,4,3] => [3,4,1,1,5] => [{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5}}
[5,1,3,1,4] => [4,1,3,1,5] => [{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5}}
[5,1,3,4,1] => [1,4,3,1,5] => [{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5}}
[5,1,4,1,3] => [3,1,4,1,5] => [{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5}}
[5,1,4,3,1] => [1,3,4,1,5] => [{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5}}
[5,3,1,1,4] => [4,1,1,3,5] => [{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5}}
[5,3,1,4,1] => [1,4,1,3,5] => [{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5}}
[5,3,4,1,1] => [1,1,4,3,5] => [{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5}}
[5,4,1,1,3] => [3,1,1,4,5] => [{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5}}
[5,4,1,3,1] => [1,3,1,4,5] => [{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5}}
[5,4,3,1,1] => [1,1,3,4,5] => [{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5}}
[1,2,2,2,2] => [2,2,2,2,1] => [{5},{1,2,3,4}] => {{1,2,3,4},{5}}
[2,1,2,2,2] => [2,2,2,1,2] => [{4},{1,2,3,5}] => {{1,2,3,5},{4}}
[2,2,1,2,2] => [2,2,1,2,2] => [{3},{1,2,4,5}] => {{1,2,4,5},{3}}
[2,2,2,1,2] => [2,1,2,2,2] => [{2},{1,3,4,5}] => {{1,3,4,5},{2}}
[2,2,2,2,1] => [1,2,2,2,2] => [{1},{2,3,4,5}] => {{1},{2,3,4,5}}
[1,2,2,2,3] => [3,2,2,2,1] => [{5},{2,3,4},{1}] => {{1},{2,3,4},{5}}
[1,2,2,3,2] => [2,3,2,2,1] => [{5},{1,3,4},{2}] => {{1,3,4},{2},{5}}
[1,2,3,2,2] => [2,2,3,2,1] => [{5},{1,2,4},{3}] => {{1,2,4},{3},{5}}
[1,3,2,2,2] => [2,2,2,3,1] => [{5},{1,2,3},{4}] => {{1,2,3},{4},{5}}
[2,1,2,2,3] => [3,2,2,1,2] => [{4},{2,3,5},{1}] => {{1},{2,3,5},{4}}
[2,1,2,3,2] => [2,3,2,1,2] => [{4},{1,3,5},{2}] => {{1,3,5},{2},{4}}
[2,1,3,2,2] => [2,2,3,1,2] => [{4},{1,2,5},{3}] => {{1,2,5},{3},{4}}
[2,2,1,2,3] => [3,2,1,2,2] => [{3},{2,4,5},{1}] => {{1},{2,4,5},{3}}
[2,2,1,3,2] => [2,3,1,2,2] => [{3},{1,4,5},{2}] => {{1,4,5},{2},{3}}
[2,2,2,1,3] => [3,1,2,2,2] => [{2},{3,4,5},{1}] => {{1},{2},{3,4,5}}
[2,2,2,3,1] => [1,3,2,2,2] => [{1},{3,4,5},{2}] => {{1},{2},{3,4,5}}
[2,2,3,1,2] => [2,1,3,2,2] => [{2},{1,4,5},{3}] => {{1,4,5},{2},{3}}
[2,2,3,2,1] => [1,2,3,2,2] => [{1},{2,4,5},{3}] => {{1},{2,4,5},{3}}
[2,3,1,2,2] => [2,2,1,3,2] => [{3},{1,2,5},{4}] => {{1,2,5},{3},{4}}
[2,3,2,1,2] => [2,1,2,3,2] => [{2},{1,3,5},{4}] => {{1,3,5},{2},{4}}
[2,3,2,2,1] => [1,2,2,3,2] => [{1},{2,3,5},{4}] => {{1},{2,3,5},{4}}
[3,1,2,2,2] => [2,2,2,1,3] => [{4},{1,2,3},{5}] => {{1,2,3},{4},{5}}
[3,2,1,2,2] => [2,2,1,2,3] => [{3},{1,2,4},{5}] => {{1,2,4},{3},{5}}
[3,2,2,1,2] => [2,1,2,2,3] => [{2},{1,3,4},{5}] => {{1,3,4},{2},{5}}
[3,2,2,2,1] => [1,2,2,2,3] => [{1},{2,3,4},{5}] => {{1},{2,3,4},{5}}
[1,2,2,2,4] => [4,2,2,2,1] => [{5},{2,3,4},{1}] => {{1},{2,3,4},{5}}
[1,2,2,4,2] => [2,4,2,2,1] => [{5},{1,3,4},{2}] => {{1,3,4},{2},{5}}
[1,2,4,2,2] => [2,2,4,2,1] => [{5},{1,2,4},{3}] => {{1,2,4},{3},{5}}
[1,4,2,2,2] => [2,2,2,4,1] => [{5},{1,2,3},{4}] => {{1,2,3},{4},{5}}
[2,1,2,2,4] => [4,2,2,1,2] => [{4},{2,3,5},{1}] => {{1},{2,3,5},{4}}
[2,1,2,4,2] => [2,4,2,1,2] => [{4},{1,3,5},{2}] => {{1,3,5},{2},{4}}
[2,1,4,2,2] => [2,2,4,1,2] => [{4},{1,2,5},{3}] => {{1,2,5},{3},{4}}
[2,2,1,2,4] => [4,2,1,2,2] => [{3},{2,4,5},{1}] => {{1},{2,4,5},{3}}
[2,2,1,4,2] => [2,4,1,2,2] => [{3},{1,4,5},{2}] => {{1,4,5},{2},{3}}
[2,2,2,1,4] => [4,1,2,2,2] => [{2},{3,4,5},{1}] => {{1},{2},{3,4,5}}
[2,2,2,4,1] => [1,4,2,2,2] => [{1},{3,4,5},{2}] => {{1},{2},{3,4,5}}
[2,2,4,1,2] => [2,1,4,2,2] => [{2},{1,4,5},{3}] => {{1,4,5},{2},{3}}
[2,2,4,2,1] => [1,2,4,2,2] => [{1},{2,4,5},{3}] => {{1},{2,4,5},{3}}
[2,4,1,2,2] => [2,2,1,4,2] => [{3},{1,2,5},{4}] => {{1,2,5},{3},{4}}
[2,4,2,1,2] => [2,1,2,4,2] => [{2},{1,3,5},{4}] => {{1,3,5},{2},{4}}
[2,4,2,2,1] => [1,2,2,4,2] => [{1},{2,3,5},{4}] => {{1},{2,3,5},{4}}
[4,1,2,2,2] => [2,2,2,1,4] => [{4},{1,2,3},{5}] => {{1,2,3},{4},{5}}
[4,2,1,2,2] => [2,2,1,2,4] => [{3},{1,2,4},{5}] => {{1,2,4},{3},{5}}
[4,2,2,1,2] => [2,1,2,2,4] => [{2},{1,3,4},{5}] => {{1,3,4},{2},{5}}
[4,2,2,2,1] => [1,2,2,2,4] => [{1},{2,3,4},{5}] => {{1},{2,3,4},{5}}
[1,2,2,2,5] => [5,2,2,2,1] => [{5},{2,3,4},{1}] => {{1},{2,3,4},{5}}
[1,2,2,5,2] => [2,5,2,2,1] => [{5},{1,3,4},{2}] => {{1,3,4},{2},{5}}
[1,2,5,2,2] => [2,2,5,2,1] => [{5},{1,2,4},{3}] => {{1,2,4},{3},{5}}
[1,5,2,2,2] => [2,2,2,5,1] => [{5},{1,2,3},{4}] => {{1,2,3},{4},{5}}
[2,1,2,2,5] => [5,2,2,1,2] => [{4},{2,3,5},{1}] => {{1},{2,3,5},{4}}
[2,1,2,5,2] => [2,5,2,1,2] => [{4},{1,3,5},{2}] => {{1,3,5},{2},{4}}
[2,1,5,2,2] => [2,2,5,1,2] => [{4},{1,2,5},{3}] => {{1,2,5},{3},{4}}
[2,2,1,2,5] => [5,2,1,2,2] => [{3},{2,4,5},{1}] => {{1},{2,4,5},{3}}
[2,2,1,5,2] => [2,5,1,2,2] => [{3},{1,4,5},{2}] => {{1,4,5},{2},{3}}
[2,2,2,1,5] => [5,1,2,2,2] => [{2},{3,4,5},{1}] => {{1},{2},{3,4,5}}
[2,2,2,5,1] => [1,5,2,2,2] => [{1},{3,4,5},{2}] => {{1},{2},{3,4,5}}
[2,2,5,1,2] => [2,1,5,2,2] => [{2},{1,4,5},{3}] => {{1,4,5},{2},{3}}
[2,2,5,2,1] => [1,2,5,2,2] => [{1},{2,4,5},{3}] => {{1},{2,4,5},{3}}
[2,5,1,2,2] => [2,2,1,5,2] => [{3},{1,2,5},{4}] => {{1,2,5},{3},{4}}
[2,5,2,1,2] => [2,1,2,5,2] => [{2},{1,3,5},{4}] => {{1,3,5},{2},{4}}
[2,5,2,2,1] => [1,2,2,5,2] => [{1},{2,3,5},{4}] => {{1},{2,3,5},{4}}
[5,1,2,2,2] => [2,2,2,1,5] => [{4},{1,2,3},{5}] => {{1,2,3},{4},{5}}
[5,2,1,2,2] => [2,2,1,2,5] => [{3},{1,2,4},{5}] => {{1,2,4},{3},{5}}
[5,2,2,1,2] => [2,1,2,2,5] => [{2},{1,3,4},{5}] => {{1,3,4},{2},{5}}
[5,2,2,2,1] => [1,2,2,2,5] => [{1},{2,3,4},{5}] => {{1},{2,3,4},{5}}
[1,2,2,3,3] => [3,3,2,2,1] => [{5},{3,4},{1,2}] => {{1,2},{3,4},{5}}
[1,2,3,2,3] => [3,2,3,2,1] => [{5},{2,4},{1,3}] => {{1,3},{2,4},{5}}
[1,2,3,3,2] => [2,3,3,2,1] => [{5},{1,4},{2,3}] => {{1,4},{2,3},{5}}
[1,3,2,2,3] => [3,2,2,3,1] => [{5},{2,3},{1,4}] => {{1,4},{2,3},{5}}
[1,3,2,3,2] => [2,3,2,3,1] => [{5},{1,3},{2,4}] => {{1,3},{2,4},{5}}
[1,3,3,2,2] => [2,2,3,3,1] => [{5},{1,2},{3,4}] => {{1,2},{3,4},{5}}
[2,1,2,3,3] => [3,3,2,1,2] => [{4},{3,5},{1,2}] => {{1,2},{3,5},{4}}
[2,1,3,2,3] => [3,2,3,1,2] => [{4},{2,5},{1,3}] => {{1,3},{2,5},{4}}
[2,1,3,3,2] => [2,3,3,1,2] => [{4},{1,5},{2,3}] => {{1,5},{2,3},{4}}
[2,2,1,3,3] => [3,3,1,2,2] => [{3},{4,5},{1,2}] => {{1,2},{3},{4,5}}
[2,2,3,1,3] => [3,1,3,2,2] => [{2},{4,5},{1,3}] => {{1,3},{2},{4,5}}
[2,2,3,3,1] => [1,3,3,2,2] => [{1},{4,5},{2,3}] => {{1},{2,3},{4,5}}
[2,3,1,2,3] => [3,2,1,3,2] => [{3},{2,5},{1,4}] => {{1,4},{2,5},{3}}
[2,3,1,3,2] => [2,3,1,3,2] => [{3},{1,5},{2,4}] => {{1,5},{2,4},{3}}
[2,3,2,1,3] => [3,1,2,3,2] => [{2},{3,5},{1,4}] => {{1,4},{2},{3,5}}
[2,3,2,3,1] => [1,3,2,3,2] => [{1},{3,5},{2,4}] => {{1},{2,4},{3,5}}
[2,3,3,1,2] => [2,1,3,3,2] => [{2},{1,5},{3,4}] => {{1,5},{2},{3,4}}
[2,3,3,2,1] => [1,2,3,3,2] => [{1},{2,5},{3,4}] => {{1},{2,5},{3,4}}
[3,1,2,2,3] => [3,2,2,1,3] => [{4},{2,3},{1,5}] => {{1,5},{2,3},{4}}
[3,1,2,3,2] => [2,3,2,1,3] => [{4},{1,3},{2,5}] => {{1,3},{2,5},{4}}
[3,1,3,2,2] => [2,2,3,1,3] => [{4},{1,2},{3,5}] => {{1,2},{3,5},{4}}
[3,2,1,2,3] => [3,2,1,2,3] => [{3},{2,4},{1,5}] => {{1,5},{2,4},{3}}
[3,2,1,3,2] => [2,3,1,2,3] => [{3},{1,4},{2,5}] => {{1,4},{2,5},{3}}
[3,2,2,1,3] => [3,1,2,2,3] => [{2},{3,4},{1,5}] => {{1,5},{2},{3,4}}
[3,2,2,3,1] => [1,3,2,2,3] => [{1},{3,4},{2,5}] => {{1},{2,5},{3,4}}
[3,2,3,1,2] => [2,1,3,2,3] => [{2},{1,4},{3,5}] => {{1,4},{2},{3,5}}
[3,2,3,2,1] => [1,2,3,2,3] => [{1},{2,4},{3,5}] => {{1},{2,4},{3,5}}
[3,3,1,2,2] => [2,2,1,3,3] => [{3},{1,2},{4,5}] => {{1,2},{3},{4,5}}
[3,3,2,1,2] => [2,1,2,3,3] => [{2},{1,3},{4,5}] => {{1,3},{2},{4,5}}
[3,3,2,2,1] => [1,2,2,3,3] => [{1},{2,3},{4,5}] => {{1},{2,3},{4,5}}
[1,2,2,3,4] => [4,3,2,2,1] => [{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5}}
[1,2,2,4,3] => [3,4,2,2,1] => [{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5}}
[1,2,3,2,4] => [4,2,3,2,1] => [{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5}}
[1,2,3,4,2] => [2,4,3,2,1] => [{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5}}
[1,2,4,2,3] => [3,2,4,2,1] => [{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5}}
[1,2,4,3,2] => [2,3,4,2,1] => [{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5}}
[1,3,2,2,4] => [4,2,2,3,1] => [{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5}}
[1,3,2,4,2] => [2,4,2,3,1] => [{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5}}
[1,3,4,2,2] => [2,2,4,3,1] => [{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5}}
[1,4,2,2,3] => [3,2,2,4,1] => [{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5}}
[1,4,2,3,2] => [2,3,2,4,1] => [{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5}}
[1,4,3,2,2] => [2,2,3,4,1] => [{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5}}
[2,1,2,3,4] => [4,3,2,1,2] => [{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4}}
[2,1,2,4,3] => [3,4,2,1,2] => [{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4}}
[2,1,3,2,4] => [4,2,3,1,2] => [{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4}}
[2,1,3,4,2] => [2,4,3,1,2] => [{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4}}
[2,1,4,2,3] => [3,2,4,1,2] => [{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4}}
[2,1,4,3,2] => [2,3,4,1,2] => [{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4}}
[2,2,1,3,4] => [4,3,1,2,2] => [{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5}}
[2,2,1,4,3] => [3,4,1,2,2] => [{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5}}
[2,2,3,1,4] => [4,1,3,2,2] => [{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5}}
[2,2,3,4,1] => [1,4,3,2,2] => [{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5}}
[2,2,4,1,3] => [3,1,4,2,2] => [{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5}}
[2,2,4,3,1] => [1,3,4,2,2] => [{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5}}
[2,3,1,2,4] => [4,2,1,3,2] => [{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4}}
[2,3,1,4,2] => [2,4,1,3,2] => [{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4}}
[2,3,2,1,4] => [4,1,2,3,2] => [{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4}}
[2,3,2,4,1] => [1,4,2,3,2] => [{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4}}
[2,3,4,1,2] => [2,1,4,3,2] => [{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4}}
[2,3,4,2,1] => [1,2,4,3,2] => [{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4}}
[2,4,1,2,3] => [3,2,1,4,2] => [{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4}}
[2,4,1,3,2] => [2,3,1,4,2] => [{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4}}
[2,4,2,1,3] => [3,1,2,4,2] => [{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4}}
[2,4,2,3,1] => [1,3,2,4,2] => [{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4}}
[2,4,3,1,2] => [2,1,3,4,2] => [{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4}}
[2,4,3,2,1] => [1,2,3,4,2] => [{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4}}
[3,1,2,2,4] => [4,2,2,1,3] => [{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5}}
[3,1,2,4,2] => [2,4,2,1,3] => [{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5}}
[3,1,4,2,2] => [2,2,4,1,3] => [{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5}}
[3,2,1,2,4] => [4,2,1,2,3] => [{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5}}
[3,2,1,4,2] => [2,4,1,2,3] => [{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5}}
[3,2,2,1,4] => [4,1,2,2,3] => [{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5}}
[3,2,2,4,1] => [1,4,2,2,3] => [{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5}}
[3,2,4,1,2] => [2,1,4,2,3] => [{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5}}
[3,2,4,2,1] => [1,2,4,2,3] => [{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5}}
[3,4,1,2,2] => [2,2,1,4,3] => [{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5}}
[3,4,2,1,2] => [2,1,2,4,3] => [{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5}}
[3,4,2,2,1] => [1,2,2,4,3] => [{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5}}
[4,1,2,2,3] => [3,2,2,1,4] => [{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5}}
[4,1,2,3,2] => [2,3,2,1,4] => [{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5}}
[4,1,3,2,2] => [2,2,3,1,4] => [{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5}}
[4,2,1,2,3] => [3,2,1,2,4] => [{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5}}
[4,2,1,3,2] => [2,3,1,2,4] => [{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5}}
[4,2,2,1,3] => [3,1,2,2,4] => [{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5}}
[4,2,2,3,1] => [1,3,2,2,4] => [{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5}}
[4,2,3,1,2] => [2,1,3,2,4] => [{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5}}
[4,2,3,2,1] => [1,2,3,2,4] => [{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5}}
[4,3,1,2,2] => [2,2,1,3,4] => [{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5}}
[4,3,2,1,2] => [2,1,2,3,4] => [{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5}}
[4,3,2,2,1] => [1,2,2,3,4] => [{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5}}
[1,2,2,3,5] => [5,3,2,2,1] => [{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5}}
[1,2,2,5,3] => [3,5,2,2,1] => [{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5}}
[1,2,3,2,5] => [5,2,3,2,1] => [{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5}}
[1,2,3,5,2] => [2,5,3,2,1] => [{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5}}
[1,2,5,2,3] => [3,2,5,2,1] => [{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5}}
[1,2,5,3,2] => [2,3,5,2,1] => [{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5}}
[1,3,2,2,5] => [5,2,2,3,1] => [{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5}}
[1,3,2,5,2] => [2,5,2,3,1] => [{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5}}
[1,3,5,2,2] => [2,2,5,3,1] => [{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5}}
[1,5,2,2,3] => [3,2,2,5,1] => [{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5}}
[1,5,2,3,2] => [2,3,2,5,1] => [{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5}}
[1,5,3,2,2] => [2,2,3,5,1] => [{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5}}
[2,1,2,3,5] => [5,3,2,1,2] => [{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4}}
[2,1,2,5,3] => [3,5,2,1,2] => [{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4}}
[2,1,3,2,5] => [5,2,3,1,2] => [{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4}}
[2,1,3,5,2] => [2,5,3,1,2] => [{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4}}
[2,1,5,2,3] => [3,2,5,1,2] => [{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4}}
[2,1,5,3,2] => [2,3,5,1,2] => [{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4}}
[2,2,1,3,5] => [5,3,1,2,2] => [{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5}}
[2,2,1,5,3] => [3,5,1,2,2] => [{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5}}
[2,2,3,1,5] => [5,1,3,2,2] => [{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5}}
[2,2,3,5,1] => [1,5,3,2,2] => [{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5}}
[2,2,5,1,3] => [3,1,5,2,2] => [{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5}}
[2,2,5,3,1] => [1,3,5,2,2] => [{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5}}
[2,3,1,2,5] => [5,2,1,3,2] => [{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4}}
[2,3,1,5,2] => [2,5,1,3,2] => [{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4}}
[2,3,2,1,5] => [5,1,2,3,2] => [{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4}}
[2,3,2,5,1] => [1,5,2,3,2] => [{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4}}
[2,3,5,1,2] => [2,1,5,3,2] => [{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4}}
[2,3,5,2,1] => [1,2,5,3,2] => [{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4}}
[2,5,1,2,3] => [3,2,1,5,2] => [{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4}}
[2,5,1,3,2] => [2,3,1,5,2] => [{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4}}
[2,5,2,1,3] => [3,1,2,5,2] => [{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4}}
[2,5,2,3,1] => [1,3,2,5,2] => [{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4}}
[2,5,3,1,2] => [2,1,3,5,2] => [{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4}}
[2,5,3,2,1] => [1,2,3,5,2] => [{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4}}
[3,1,2,2,5] => [5,2,2,1,3] => [{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5}}
[3,1,2,5,2] => [2,5,2,1,3] => [{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5}}
[3,1,5,2,2] => [2,2,5,1,3] => [{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5}}
[3,2,1,2,5] => [5,2,1,2,3] => [{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5}}
[3,2,1,5,2] => [2,5,1,2,3] => [{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5}}
[3,2,2,1,5] => [5,1,2,2,3] => [{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5}}
[3,2,2,5,1] => [1,5,2,2,3] => [{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5}}
[3,2,5,1,2] => [2,1,5,2,3] => [{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5}}
[3,2,5,2,1] => [1,2,5,2,3] => [{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5}}
[3,5,1,2,2] => [2,2,1,5,3] => [{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5}}
[3,5,2,1,2] => [2,1,2,5,3] => [{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5}}
[3,5,2,2,1] => [1,2,2,5,3] => [{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5}}
[5,1,2,2,3] => [3,2,2,1,5] => [{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5}}
[5,1,2,3,2] => [2,3,2,1,5] => [{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5}}
[5,1,3,2,2] => [2,2,3,1,5] => [{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5}}
[5,2,1,2,3] => [3,2,1,2,5] => [{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5}}
[5,2,1,3,2] => [2,3,1,2,5] => [{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5}}
[5,2,2,1,3] => [3,1,2,2,5] => [{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5}}
[5,2,2,3,1] => [1,3,2,2,5] => [{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5}}
[5,2,3,1,2] => [2,1,3,2,5] => [{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5}}
[5,2,3,2,1] => [1,2,3,2,5] => [{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5}}
[5,3,1,2,2] => [2,2,1,3,5] => [{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5}}
[5,3,2,1,2] => [2,1,2,3,5] => [{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5}}
[5,3,2,2,1] => [1,2,2,3,5] => [{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5}}
[1,2,2,4,4] => [4,4,2,2,1] => [{5},{3,4},{1,2}] => {{1,2},{3,4},{5}}
[1,2,4,2,4] => [4,2,4,2,1] => [{5},{2,4},{1,3}] => {{1,3},{2,4},{5}}
[1,2,4,4,2] => [2,4,4,2,1] => [{5},{1,4},{2,3}] => {{1,4},{2,3},{5}}
[1,4,2,2,4] => [4,2,2,4,1] => [{5},{2,3},{1,4}] => {{1,4},{2,3},{5}}
[1,4,2,4,2] => [2,4,2,4,1] => [{5},{1,3},{2,4}] => {{1,3},{2,4},{5}}
[1,4,4,2,2] => [2,2,4,4,1] => [{5},{1,2},{3,4}] => {{1,2},{3,4},{5}}
[2,1,2,4,4] => [4,4,2,1,2] => [{4},{3,5},{1,2}] => {{1,2},{3,5},{4}}
[2,1,4,2,4] => [4,2,4,1,2] => [{4},{2,5},{1,3}] => {{1,3},{2,5},{4}}
[2,1,4,4,2] => [2,4,4,1,2] => [{4},{1,5},{2,3}] => {{1,5},{2,3},{4}}
[2,2,1,4,4] => [4,4,1,2,2] => [{3},{4,5},{1,2}] => {{1,2},{3},{4,5}}
[2,2,4,1,4] => [4,1,4,2,2] => [{2},{4,5},{1,3}] => {{1,3},{2},{4,5}}
[2,2,4,4,1] => [1,4,4,2,2] => [{1},{4,5},{2,3}] => {{1},{2,3},{4,5}}
[2,4,1,2,4] => [4,2,1,4,2] => [{3},{2,5},{1,4}] => {{1,4},{2,5},{3}}
[2,4,1,4,2] => [2,4,1,4,2] => [{3},{1,5},{2,4}] => {{1,5},{2,4},{3}}
[2,4,2,1,4] => [4,1,2,4,2] => [{2},{3,5},{1,4}] => {{1,4},{2},{3,5}}
[2,4,2,4,1] => [1,4,2,4,2] => [{1},{3,5},{2,4}] => {{1},{2,4},{3,5}}
[2,4,4,1,2] => [2,1,4,4,2] => [{2},{1,5},{3,4}] => {{1,5},{2},{3,4}}
[2,4,4,2,1] => [1,2,4,4,2] => [{1},{2,5},{3,4}] => {{1},{2,5},{3,4}}
[4,1,2,2,4] => [4,2,2,1,4] => [{4},{2,3},{1,5}] => {{1,5},{2,3},{4}}
[4,1,2,4,2] => [2,4,2,1,4] => [{4},{1,3},{2,5}] => {{1,3},{2,5},{4}}
[4,1,4,2,2] => [2,2,4,1,4] => [{4},{1,2},{3,5}] => {{1,2},{3,5},{4}}
[4,2,1,2,4] => [4,2,1,2,4] => [{3},{2,4},{1,5}] => {{1,5},{2,4},{3}}
[4,2,1,4,2] => [2,4,1,2,4] => [{3},{1,4},{2,5}] => {{1,4},{2,5},{3}}
[4,2,2,1,4] => [4,1,2,2,4] => [{2},{3,4},{1,5}] => {{1,5},{2},{3,4}}
[4,2,2,4,1] => [1,4,2,2,4] => [{1},{3,4},{2,5}] => {{1},{2,5},{3,4}}
[4,2,4,1,2] => [2,1,4,2,4] => [{2},{1,4},{3,5}] => {{1,4},{2},{3,5}}
[4,2,4,2,1] => [1,2,4,2,4] => [{1},{2,4},{3,5}] => {{1},{2,4},{3,5}}
[4,4,1,2,2] => [2,2,1,4,4] => [{3},{1,2},{4,5}] => {{1,2},{3},{4,5}}
[4,4,2,1,2] => [2,1,2,4,4] => [{2},{1,3},{4,5}] => {{1,3},{2},{4,5}}
[4,4,2,2,1] => [1,2,2,4,4] => [{1},{2,3},{4,5}] => {{1},{2,3},{4,5}}
[1,2,2,4,5] => [5,4,2,2,1] => [{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5}}
[1,2,2,5,4] => [4,5,2,2,1] => [{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5}}
[1,2,4,2,5] => [5,2,4,2,1] => [{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5}}
[1,2,4,5,2] => [2,5,4,2,1] => [{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5}}
[1,2,5,2,4] => [4,2,5,2,1] => [{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5}}
[1,2,5,4,2] => [2,4,5,2,1] => [{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5}}
[1,4,2,2,5] => [5,2,2,4,1] => [{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5}}
[1,4,2,5,2] => [2,5,2,4,1] => [{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5}}
[1,4,5,2,2] => [2,2,5,4,1] => [{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5}}
[1,5,2,2,4] => [4,2,2,5,1] => [{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5}}
[1,5,2,4,2] => [2,4,2,5,1] => [{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5}}
[1,5,4,2,2] => [2,2,4,5,1] => [{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5}}
[2,1,2,4,5] => [5,4,2,1,2] => [{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4}}
[2,1,2,5,4] => [4,5,2,1,2] => [{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4}}
[2,1,4,2,5] => [5,2,4,1,2] => [{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4}}
[2,1,4,5,2] => [2,5,4,1,2] => [{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4}}
[2,1,5,2,4] => [4,2,5,1,2] => [{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4}}
[2,1,5,4,2] => [2,4,5,1,2] => [{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4}}
[2,2,1,4,5] => [5,4,1,2,2] => [{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5}}
[2,2,1,5,4] => [4,5,1,2,2] => [{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5}}
[2,2,4,1,5] => [5,1,4,2,2] => [{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5}}
[2,2,4,5,1] => [1,5,4,2,2] => [{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5}}
[2,2,5,1,4] => [4,1,5,2,2] => [{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5}}
[2,2,5,4,1] => [1,4,5,2,2] => [{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5}}
[2,4,1,2,5] => [5,2,1,4,2] => [{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4}}
[2,4,1,5,2] => [2,5,1,4,2] => [{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4}}
[2,4,2,1,5] => [5,1,2,4,2] => [{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4}}
[2,4,2,5,1] => [1,5,2,4,2] => [{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4}}
[2,4,5,1,2] => [2,1,5,4,2] => [{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4}}
[2,4,5,2,1] => [1,2,5,4,2] => [{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4}}
[2,5,1,2,4] => [4,2,1,5,2] => [{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4}}
[2,5,1,4,2] => [2,4,1,5,2] => [{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4}}
[2,5,2,1,4] => [4,1,2,5,2] => [{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4}}
[2,5,2,4,1] => [1,4,2,5,2] => [{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4}}
[2,5,4,1,2] => [2,1,4,5,2] => [{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4}}
[2,5,4,2,1] => [1,2,4,5,2] => [{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4}}
[4,1,2,2,5] => [5,2,2,1,4] => [{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5}}
[4,1,2,5,2] => [2,5,2,1,4] => [{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5}}
[4,1,5,2,2] => [2,2,5,1,4] => [{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5}}
[4,2,1,2,5] => [5,2,1,2,4] => [{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5}}
[4,2,1,5,2] => [2,5,1,2,4] => [{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5}}
[4,2,2,1,5] => [5,1,2,2,4] => [{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5}}
[4,2,2,5,1] => [1,5,2,2,4] => [{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5}}
[4,2,5,1,2] => [2,1,5,2,4] => [{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5}}
[4,2,5,2,1] => [1,2,5,2,4] => [{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5}}
[4,5,1,2,2] => [2,2,1,5,4] => [{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5}}
[4,5,2,1,2] => [2,1,2,5,4] => [{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5}}
[4,5,2,2,1] => [1,2,2,5,4] => [{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5}}
[5,1,2,2,4] => [4,2,2,1,5] => [{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5}}
[5,1,2,4,2] => [2,4,2,1,5] => [{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5}}
[5,1,4,2,2] => [2,2,4,1,5] => [{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5}}
[5,2,1,2,4] => [4,2,1,2,5] => [{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5}}
[5,2,1,4,2] => [2,4,1,2,5] => [{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5}}
[5,2,2,1,4] => [4,1,2,2,5] => [{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5}}
[5,2,2,4,1] => [1,4,2,2,5] => [{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5}}
[5,2,4,1,2] => [2,1,4,2,5] => [{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5}}
[5,2,4,2,1] => [1,2,4,2,5] => [{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5}}
[5,4,1,2,2] => [2,2,1,4,5] => [{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5}}
[5,4,2,1,2] => [2,1,2,4,5] => [{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5}}
[5,4,2,2,1] => [1,2,2,4,5] => [{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5}}
[1,2,3,3,3] => [3,3,3,2,1] => [{5},{4},{1,2,3}] => {{1,2,3},{4},{5}}
[1,3,2,3,3] => [3,3,2,3,1] => [{5},{3},{1,2,4}] => {{1,2,4},{3},{5}}
[1,3,3,2,3] => [3,2,3,3,1] => [{5},{2},{1,3,4}] => {{1,3,4},{2},{5}}
[1,3,3,3,2] => [2,3,3,3,1] => [{5},{1},{2,3,4}] => {{1},{2,3,4},{5}}
[2,1,3,3,3] => [3,3,3,1,2] => [{4},{5},{1,2,3}] => {{1,2,3},{4},{5}}
[2,3,1,3,3] => [3,3,1,3,2] => [{3},{5},{1,2,4}] => {{1,2,4},{3},{5}}
[2,3,3,1,3] => [3,1,3,3,2] => [{2},{5},{1,3,4}] => {{1,3,4},{2},{5}}
[2,3,3,3,1] => [1,3,3,3,2] => [{1},{5},{2,3,4}] => {{1},{2,3,4},{5}}
[3,1,2,3,3] => [3,3,2,1,3] => [{4},{3},{1,2,5}] => {{1,2,5},{3},{4}}
[3,1,3,2,3] => [3,2,3,1,3] => [{4},{2},{1,3,5}] => {{1,3,5},{2},{4}}
[3,1,3,3,2] => [2,3,3,1,3] => [{4},{1},{2,3,5}] => {{1},{2,3,5},{4}}
[3,2,1,3,3] => [3,3,1,2,3] => [{3},{4},{1,2,5}] => {{1,2,5},{3},{4}}
[3,2,3,1,3] => [3,1,3,2,3] => [{2},{4},{1,3,5}] => {{1,3,5},{2},{4}}
[3,2,3,3,1] => [1,3,3,2,3] => [{1},{4},{2,3,5}] => {{1},{2,3,5},{4}}
[3,3,1,2,3] => [3,2,1,3,3] => [{3},{2},{1,4,5}] => {{1,4,5},{2},{3}}
[3,3,1,3,2] => [2,3,1,3,3] => [{3},{1},{2,4,5}] => {{1},{2,4,5},{3}}
[3,3,2,1,3] => [3,1,2,3,3] => [{2},{3},{1,4,5}] => {{1,4,5},{2},{3}}
[3,3,2,3,1] => [1,3,2,3,3] => [{1},{3},{2,4,5}] => {{1},{2,4,5},{3}}
[3,3,3,1,2] => [2,1,3,3,3] => [{2},{1},{3,4,5}] => {{1},{2},{3,4,5}}
[3,3,3,2,1] => [1,2,3,3,3] => [{1},{2},{3,4,5}] => {{1},{2},{3,4,5}}
[1,2,3,3,4] => [4,3,3,2,1] => [{5},{4},{2,3},{1}] => {{1},{2,3},{4},{5}}
[1,2,3,4,3] => [3,4,3,2,1] => [{5},{4},{1,3},{2}] => {{1,3},{2},{4},{5}}
[1,2,4,3,3] => [3,3,4,2,1] => [{5},{4},{1,2},{3}] => {{1,2},{3},{4},{5}}
[1,3,2,3,4] => [4,3,2,3,1] => [{5},{3},{2,4},{1}] => {{1},{2,4},{3},{5}}
[1,3,2,4,3] => [3,4,2,3,1] => [{5},{3},{1,4},{2}] => {{1,4},{2},{3},{5}}
[1,3,3,2,4] => [4,2,3,3,1] => [{5},{2},{3,4},{1}] => {{1},{2},{3,4},{5}}
[1,3,3,4,2] => [2,4,3,3,1] => [{5},{1},{3,4},{2}] => {{1},{2},{3,4},{5}}
[1,3,4,2,3] => [3,2,4,3,1] => [{5},{2},{1,4},{3}] => {{1,4},{2},{3},{5}}
[1,3,4,3,2] => [2,3,4,3,1] => [{5},{1},{2,4},{3}] => {{1},{2,4},{3},{5}}
[1,4,2,3,3] => [3,3,2,4,1] => [{5},{3},{1,2},{4}] => {{1,2},{3},{4},{5}}
[1,4,3,2,3] => [3,2,3,4,1] => [{5},{2},{1,3},{4}] => {{1,3},{2},{4},{5}}
[1,4,3,3,2] => [2,3,3,4,1] => [{5},{1},{2,3},{4}] => {{1},{2,3},{4},{5}}
[2,1,3,3,4] => [4,3,3,1,2] => [{4},{5},{2,3},{1}] => {{1},{2,3},{4},{5}}
[2,1,3,4,3] => [3,4,3,1,2] => [{4},{5},{1,3},{2}] => {{1,3},{2},{4},{5}}
[2,1,4,3,3] => [3,3,4,1,2] => [{4},{5},{1,2},{3}] => {{1,2},{3},{4},{5}}
[2,3,1,3,4] => [4,3,1,3,2] => [{3},{5},{2,4},{1}] => {{1},{2,4},{3},{5}}
[2,3,1,4,3] => [3,4,1,3,2] => [{3},{5},{1,4},{2}] => {{1,4},{2},{3},{5}}
[2,3,3,1,4] => [4,1,3,3,2] => [{2},{5},{3,4},{1}] => {{1},{2},{3,4},{5}}
[2,3,3,4,1] => [1,4,3,3,2] => [{1},{5},{3,4},{2}] => {{1},{2},{3,4},{5}}
[2,3,4,1,3] => [3,1,4,3,2] => [{2},{5},{1,4},{3}] => {{1,4},{2},{3},{5}}
[2,3,4,3,1] => [1,3,4,3,2] => [{1},{5},{2,4},{3}] => {{1},{2,4},{3},{5}}
[2,4,1,3,3] => [3,3,1,4,2] => [{3},{5},{1,2},{4}] => {{1,2},{3},{4},{5}}
[2,4,3,1,3] => [3,1,3,4,2] => [{2},{5},{1,3},{4}] => {{1,3},{2},{4},{5}}
[2,4,3,3,1] => [1,3,3,4,2] => [{1},{5},{2,3},{4}] => {{1},{2,3},{4},{5}}
[3,1,2,3,4] => [4,3,2,1,3] => [{4},{3},{2,5},{1}] => {{1},{2,5},{3},{4}}
[3,1,2,4,3] => [3,4,2,1,3] => [{4},{3},{1,5},{2}] => {{1,5},{2},{3},{4}}
[3,1,3,2,4] => [4,2,3,1,3] => [{4},{2},{3,5},{1}] => {{1},{2},{3,5},{4}}
[3,1,3,4,2] => [2,4,3,1,3] => [{4},{1},{3,5},{2}] => {{1},{2},{3,5},{4}}
[3,1,4,2,3] => [3,2,4,1,3] => [{4},{2},{1,5},{3}] => {{1,5},{2},{3},{4}}
[3,1,4,3,2] => [2,3,4,1,3] => [{4},{1},{2,5},{3}] => {{1},{2,5},{3},{4}}
[3,2,1,3,4] => [4,3,1,2,3] => [{3},{4},{2,5},{1}] => {{1},{2,5},{3},{4}}
[3,2,1,4,3] => [3,4,1,2,3] => [{3},{4},{1,5},{2}] => {{1,5},{2},{3},{4}}
[3,2,3,1,4] => [4,1,3,2,3] => [{2},{4},{3,5},{1}] => {{1},{2},{3,5},{4}}
[3,2,3,4,1] => [1,4,3,2,3] => [{1},{4},{3,5},{2}] => {{1},{2},{3,5},{4}}
[3,2,4,1,3] => [3,1,4,2,3] => [{2},{4},{1,5},{3}] => {{1,5},{2},{3},{4}}
[3,2,4,3,1] => [1,3,4,2,3] => [{1},{4},{2,5},{3}] => {{1},{2,5},{3},{4}}
[3,3,1,2,4] => [4,2,1,3,3] => [{3},{2},{4,5},{1}] => {{1},{2},{3},{4,5}}
[3,3,1,4,2] => [2,4,1,3,3] => [{3},{1},{4,5},{2}] => {{1},{2},{3},{4,5}}
[3,3,2,1,4] => [4,1,2,3,3] => [{2},{3},{4,5},{1}] => {{1},{2},{3},{4,5}}
[3,3,2,4,1] => [1,4,2,3,3] => [{1},{3},{4,5},{2}] => {{1},{2},{3},{4,5}}
[3,3,4,1,2] => [2,1,4,3,3] => [{2},{1},{4,5},{3}] => {{1},{2},{3},{4,5}}
[3,3,4,2,1] => [1,2,4,3,3] => [{1},{2},{4,5},{3}] => {{1},{2},{3},{4,5}}
[3,4,1,2,3] => [3,2,1,4,3] => [{3},{2},{1,5},{4}] => {{1,5},{2},{3},{4}}
[3,4,1,3,2] => [2,3,1,4,3] => [{3},{1},{2,5},{4}] => {{1},{2,5},{3},{4}}
[3,4,2,1,3] => [3,1,2,4,3] => [{2},{3},{1,5},{4}] => {{1,5},{2},{3},{4}}
[3,4,2,3,1] => [1,3,2,4,3] => [{1},{3},{2,5},{4}] => {{1},{2,5},{3},{4}}
[3,4,3,1,2] => [2,1,3,4,3] => [{2},{1},{3,5},{4}] => {{1},{2},{3,5},{4}}
[3,4,3,2,1] => [1,2,3,4,3] => [{1},{2},{3,5},{4}] => {{1},{2},{3,5},{4}}
[4,1,2,3,3] => [3,3,2,1,4] => [{4},{3},{1,2},{5}] => {{1,2},{3},{4},{5}}
[4,1,3,2,3] => [3,2,3,1,4] => [{4},{2},{1,3},{5}] => {{1,3},{2},{4},{5}}
[4,1,3,3,2] => [2,3,3,1,4] => [{4},{1},{2,3},{5}] => {{1},{2,3},{4},{5}}
[4,2,1,3,3] => [3,3,1,2,4] => [{3},{4},{1,2},{5}] => {{1,2},{3},{4},{5}}
[4,2,3,1,3] => [3,1,3,2,4] => [{2},{4},{1,3},{5}] => {{1,3},{2},{4},{5}}
[4,2,3,3,1] => [1,3,3,2,4] => [{1},{4},{2,3},{5}] => {{1},{2,3},{4},{5}}
[4,3,1,2,3] => [3,2,1,3,4] => [{3},{2},{1,4},{5}] => {{1,4},{2},{3},{5}}
[4,3,1,3,2] => [2,3,1,3,4] => [{3},{1},{2,4},{5}] => {{1},{2,4},{3},{5}}
[4,3,2,1,3] => [3,1,2,3,4] => [{2},{3},{1,4},{5}] => {{1,4},{2},{3},{5}}
[4,3,2,3,1] => [1,3,2,3,4] => [{1},{3},{2,4},{5}] => {{1},{2,4},{3},{5}}
[4,3,3,1,2] => [2,1,3,3,4] => [{2},{1},{3,4},{5}] => {{1},{2},{3,4},{5}}
[4,3,3,2,1] => [1,2,3,3,4] => [{1},{2},{3,4},{5}] => {{1},{2},{3,4},{5}}
[1,2,3,3,5] => [5,3,3,2,1] => [{5},{4},{2,3},{1}] => {{1},{2,3},{4},{5}}
[1,2,3,5,3] => [3,5,3,2,1] => [{5},{4},{1,3},{2}] => {{1,3},{2},{4},{5}}
[1,2,5,3,3] => [3,3,5,2,1] => [{5},{4},{1,2},{3}] => {{1,2},{3},{4},{5}}
[1,3,2,3,5] => [5,3,2,3,1] => [{5},{3},{2,4},{1}] => {{1},{2,4},{3},{5}}
[1,3,2,5,3] => [3,5,2,3,1] => [{5},{3},{1,4},{2}] => {{1,4},{2},{3},{5}}
[1,3,3,2,5] => [5,2,3,3,1] => [{5},{2},{3,4},{1}] => {{1},{2},{3,4},{5}}
[1,3,3,5,2] => [2,5,3,3,1] => [{5},{1},{3,4},{2}] => {{1},{2},{3,4},{5}}
[1,3,5,2,3] => [3,2,5,3,1] => [{5},{2},{1,4},{3}] => {{1,4},{2},{3},{5}}
[1,3,5,3,2] => [2,3,5,3,1] => [{5},{1},{2,4},{3}] => {{1},{2,4},{3},{5}}
[1,5,2,3,3] => [3,3,2,5,1] => [{5},{3},{1,2},{4}] => {{1,2},{3},{4},{5}}
[1,5,3,2,3] => [3,2,3,5,1] => [{5},{2},{1,3},{4}] => {{1,3},{2},{4},{5}}
[1,5,3,3,2] => [2,3,3,5,1] => [{5},{1},{2,3},{4}] => {{1},{2,3},{4},{5}}
[2,1,3,3,5] => [5,3,3,1,2] => [{4},{5},{2,3},{1}] => {{1},{2,3},{4},{5}}
[2,1,3,5,3] => [3,5,3,1,2] => [{4},{5},{1,3},{2}] => {{1,3},{2},{4},{5}}
[2,1,5,3,3] => [3,3,5,1,2] => [{4},{5},{1,2},{3}] => {{1,2},{3},{4},{5}}
[2,3,1,3,5] => [5,3,1,3,2] => [{3},{5},{2,4},{1}] => {{1},{2,4},{3},{5}}
[2,3,1,5,3] => [3,5,1,3,2] => [{3},{5},{1,4},{2}] => {{1,4},{2},{3},{5}}
[2,3,3,1,5] => [5,1,3,3,2] => [{2},{5},{3,4},{1}] => {{1},{2},{3,4},{5}}
[2,3,3,5,1] => [1,5,3,3,2] => [{1},{5},{3,4},{2}] => {{1},{2},{3,4},{5}}
[2,3,5,1,3] => [3,1,5,3,2] => [{2},{5},{1,4},{3}] => {{1,4},{2},{3},{5}}
[2,3,5,3,1] => [1,3,5,3,2] => [{1},{5},{2,4},{3}] => {{1},{2,4},{3},{5}}
[2,5,1,3,3] => [3,3,1,5,2] => [{3},{5},{1,2},{4}] => {{1,2},{3},{4},{5}}
[2,5,3,1,3] => [3,1,3,5,2] => [{2},{5},{1,3},{4}] => {{1,3},{2},{4},{5}}
[2,5,3,3,1] => [1,3,3,5,2] => [{1},{5},{2,3},{4}] => {{1},{2,3},{4},{5}}
[3,1,2,3,5] => [5,3,2,1,3] => [{4},{3},{2,5},{1}] => {{1},{2,5},{3},{4}}
[3,1,2,5,3] => [3,5,2,1,3] => [{4},{3},{1,5},{2}] => {{1,5},{2},{3},{4}}
[3,1,3,2,5] => [5,2,3,1,3] => [{4},{2},{3,5},{1}] => {{1},{2},{3,5},{4}}
[3,1,3,5,2] => [2,5,3,1,3] => [{4},{1},{3,5},{2}] => {{1},{2},{3,5},{4}}
[3,1,5,2,3] => [3,2,5,1,3] => [{4},{2},{1,5},{3}] => {{1,5},{2},{3},{4}}
[3,1,5,3,2] => [2,3,5,1,3] => [{4},{1},{2,5},{3}] => {{1},{2,5},{3},{4}}
[3,2,1,3,5] => [5,3,1,2,3] => [{3},{4},{2,5},{1}] => {{1},{2,5},{3},{4}}
[3,2,1,5,3] => [3,5,1,2,3] => [{3},{4},{1,5},{2}] => {{1,5},{2},{3},{4}}
[3,2,3,1,5] => [5,1,3,2,3] => [{2},{4},{3,5},{1}] => {{1},{2},{3,5},{4}}
[3,2,3,5,1] => [1,5,3,2,3] => [{1},{4},{3,5},{2}] => {{1},{2},{3,5},{4}}
[3,2,5,1,3] => [3,1,5,2,3] => [{2},{4},{1,5},{3}] => {{1,5},{2},{3},{4}}
[3,2,5,3,1] => [1,3,5,2,3] => [{1},{4},{2,5},{3}] => {{1},{2,5},{3},{4}}
[3,3,1,2,5] => [5,2,1,3,3] => [{3},{2},{4,5},{1}] => {{1},{2},{3},{4,5}}
[3,3,1,5,2] => [2,5,1,3,3] => [{3},{1},{4,5},{2}] => {{1},{2},{3},{4,5}}
[3,3,2,1,5] => [5,1,2,3,3] => [{2},{3},{4,5},{1}] => {{1},{2},{3},{4,5}}
[3,3,2,5,1] => [1,5,2,3,3] => [{1},{3},{4,5},{2}] => {{1},{2},{3},{4,5}}
[3,3,5,1,2] => [2,1,5,3,3] => [{2},{1},{4,5},{3}] => {{1},{2},{3},{4,5}}
[3,3,5,2,1] => [1,2,5,3,3] => [{1},{2},{4,5},{3}] => {{1},{2},{3},{4,5}}
[3,5,1,2,3] => [3,2,1,5,3] => [{3},{2},{1,5},{4}] => {{1,5},{2},{3},{4}}
[3,5,1,3,2] => [2,3,1,5,3] => [{3},{1},{2,5},{4}] => {{1},{2,5},{3},{4}}
[3,5,2,1,3] => [3,1,2,5,3] => [{2},{3},{1,5},{4}] => {{1,5},{2},{3},{4}}
[3,5,2,3,1] => [1,3,2,5,3] => [{1},{3},{2,5},{4}] => {{1},{2,5},{3},{4}}
[3,5,3,1,2] => [2,1,3,5,3] => [{2},{1},{3,5},{4}] => {{1},{2},{3,5},{4}}
[3,5,3,2,1] => [1,2,3,5,3] => [{1},{2},{3,5},{4}] => {{1},{2},{3,5},{4}}
[5,1,2,3,3] => [3,3,2,1,5] => [{4},{3},{1,2},{5}] => {{1,2},{3},{4},{5}}
[5,1,3,2,3] => [3,2,3,1,5] => [{4},{2},{1,3},{5}] => {{1,3},{2},{4},{5}}
[5,1,3,3,2] => [2,3,3,1,5] => [{4},{1},{2,3},{5}] => {{1},{2,3},{4},{5}}
[5,2,1,3,3] => [3,3,1,2,5] => [{3},{4},{1,2},{5}] => {{1,2},{3},{4},{5}}
[5,2,3,1,3] => [3,1,3,2,5] => [{2},{4},{1,3},{5}] => {{1,3},{2},{4},{5}}
[5,2,3,3,1] => [1,3,3,2,5] => [{1},{4},{2,3},{5}] => {{1},{2,3},{4},{5}}
[5,3,1,2,3] => [3,2,1,3,5] => [{3},{2},{1,4},{5}] => {{1,4},{2},{3},{5}}
[5,3,1,3,2] => [2,3,1,3,5] => [{3},{1},{2,4},{5}] => {{1},{2,4},{3},{5}}
[5,3,2,1,3] => [3,1,2,3,5] => [{2},{3},{1,4},{5}] => {{1,4},{2},{3},{5}}
[5,3,2,3,1] => [1,3,2,3,5] => [{1},{3},{2,4},{5}] => {{1},{2,4},{3},{5}}
[5,3,3,1,2] => [2,1,3,3,5] => [{2},{1},{3,4},{5}] => {{1},{2},{3,4},{5}}
[5,3,3,2,1] => [1,2,3,3,5] => [{1},{2},{3,4},{5}] => {{1},{2},{3,4},{5}}
[1,2,3,4,4] => [4,4,3,2,1] => [{5},{4},{3},{1,2}] => {{1,2},{3},{4},{5}}
[1,2,4,3,4] => [4,3,4,2,1] => [{5},{4},{2},{1,3}] => {{1,3},{2},{4},{5}}
[1,2,4,4,3] => [3,4,4,2,1] => [{5},{4},{1},{2,3}] => {{1},{2,3},{4},{5}}
[1,3,2,4,4] => [4,4,2,3,1] => [{5},{3},{4},{1,2}] => {{1,2},{3},{4},{5}}
[1,3,4,2,4] => [4,2,4,3,1] => [{5},{2},{4},{1,3}] => {{1,3},{2},{4},{5}}
[1,3,4,4,2] => [2,4,4,3,1] => [{5},{1},{4},{2,3}] => {{1},{2,3},{4},{5}}
[1,4,2,3,4] => [4,3,2,4,1] => [{5},{3},{2},{1,4}] => {{1,4},{2},{3},{5}}
[1,4,2,4,3] => [3,4,2,4,1] => [{5},{3},{1},{2,4}] => {{1},{2,4},{3},{5}}
[1,4,3,2,4] => [4,2,3,4,1] => [{5},{2},{3},{1,4}] => {{1,4},{2},{3},{5}}
[1,4,3,4,2] => [2,4,3,4,1] => [{5},{1},{3},{2,4}] => {{1},{2,4},{3},{5}}
[1,4,4,2,3] => [3,2,4,4,1] => [{5},{2},{1},{3,4}] => {{1},{2},{3,4},{5}}
[1,4,4,3,2] => [2,3,4,4,1] => [{5},{1},{2},{3,4}] => {{1},{2},{3,4},{5}}
[2,1,3,4,4] => [4,4,3,1,2] => [{4},{5},{3},{1,2}] => {{1,2},{3},{4},{5}}
[2,1,4,3,4] => [4,3,4,1,2] => [{4},{5},{2},{1,3}] => {{1,3},{2},{4},{5}}
[2,1,4,4,3] => [3,4,4,1,2] => [{4},{5},{1},{2,3}] => {{1},{2,3},{4},{5}}
[2,3,1,4,4] => [4,4,1,3,2] => [{3},{5},{4},{1,2}] => {{1,2},{3},{4},{5}}
[2,3,4,1,4] => [4,1,4,3,2] => [{2},{5},{4},{1,3}] => {{1,3},{2},{4},{5}}
[2,3,4,4,1] => [1,4,4,3,2] => [{1},{5},{4},{2,3}] => {{1},{2,3},{4},{5}}
[2,4,1,3,4] => [4,3,1,4,2] => [{3},{5},{2},{1,4}] => {{1,4},{2},{3},{5}}
[2,4,1,4,3] => [3,4,1,4,2] => [{3},{5},{1},{2,4}] => {{1},{2,4},{3},{5}}
[2,4,3,1,4] => [4,1,3,4,2] => [{2},{5},{3},{1,4}] => {{1,4},{2},{3},{5}}
[2,4,3,4,1] => [1,4,3,4,2] => [{1},{5},{3},{2,4}] => {{1},{2,4},{3},{5}}
[2,4,4,1,3] => [3,1,4,4,2] => [{2},{5},{1},{3,4}] => {{1},{2},{3,4},{5}}
[2,4,4,3,1] => [1,3,4,4,2] => [{1},{5},{2},{3,4}] => {{1},{2},{3,4},{5}}
[3,1,2,4,4] => [4,4,2,1,3] => [{4},{3},{5},{1,2}] => {{1,2},{3},{4},{5}}
[3,1,4,2,4] => [4,2,4,1,3] => [{4},{2},{5},{1,3}] => {{1,3},{2},{4},{5}}
[3,1,4,4,2] => [2,4,4,1,3] => [{4},{1},{5},{2,3}] => {{1},{2,3},{4},{5}}
[3,2,1,4,4] => [4,4,1,2,3] => [{3},{4},{5},{1,2}] => {{1,2},{3},{4},{5}}
[3,2,4,1,4] => [4,1,4,2,3] => [{2},{4},{5},{1,3}] => {{1,3},{2},{4},{5}}
[3,2,4,4,1] => [1,4,4,2,3] => [{1},{4},{5},{2,3}] => {{1},{2,3},{4},{5}}
[3,4,1,2,4] => [4,2,1,4,3] => [{3},{2},{5},{1,4}] => {{1,4},{2},{3},{5}}
[3,4,1,4,2] => [2,4,1,4,3] => [{3},{1},{5},{2,4}] => {{1},{2,4},{3},{5}}
[3,4,2,1,4] => [4,1,2,4,3] => [{2},{3},{5},{1,4}] => {{1,4},{2},{3},{5}}
[3,4,2,4,1] => [1,4,2,4,3] => [{1},{3},{5},{2,4}] => {{1},{2,4},{3},{5}}
[3,4,4,1,2] => [2,1,4,4,3] => [{2},{1},{5},{3,4}] => {{1},{2},{3,4},{5}}
[3,4,4,2,1] => [1,2,4,4,3] => [{1},{2},{5},{3,4}] => {{1},{2},{3,4},{5}}
[4,1,2,3,4] => [4,3,2,1,4] => [{4},{3},{2},{1,5}] => {{1,5},{2},{3},{4}}
[4,1,2,4,3] => [3,4,2,1,4] => [{4},{3},{1},{2,5}] => {{1},{2,5},{3},{4}}
[4,1,3,2,4] => [4,2,3,1,4] => [{4},{2},{3},{1,5}] => {{1,5},{2},{3},{4}}
[4,1,3,4,2] => [2,4,3,1,4] => [{4},{1},{3},{2,5}] => {{1},{2,5},{3},{4}}
[4,1,4,2,3] => [3,2,4,1,4] => [{4},{2},{1},{3,5}] => {{1},{2},{3,5},{4}}
[4,1,4,3,2] => [2,3,4,1,4] => [{4},{1},{2},{3,5}] => {{1},{2},{3,5},{4}}
[4,2,1,3,4] => [4,3,1,2,4] => [{3},{4},{2},{1,5}] => {{1,5},{2},{3},{4}}
[4,2,1,4,3] => [3,4,1,2,4] => [{3},{4},{1},{2,5}] => {{1},{2,5},{3},{4}}
[4,2,3,1,4] => [4,1,3,2,4] => [{2},{4},{3},{1,5}] => {{1,5},{2},{3},{4}}
[4,2,3,4,1] => [1,4,3,2,4] => [{1},{4},{3},{2,5}] => {{1},{2,5},{3},{4}}
[4,2,4,1,3] => [3,1,4,2,4] => [{2},{4},{1},{3,5}] => {{1},{2},{3,5},{4}}
[4,2,4,3,1] => [1,3,4,2,4] => [{1},{4},{2},{3,5}] => {{1},{2},{3,5},{4}}
[4,3,1,2,4] => [4,2,1,3,4] => [{3},{2},{4},{1,5}] => {{1,5},{2},{3},{4}}
[4,3,1,4,2] => [2,4,1,3,4] => [{3},{1},{4},{2,5}] => {{1},{2,5},{3},{4}}
[4,3,2,1,4] => [4,1,2,3,4] => [{2},{3},{4},{1,5}] => {{1,5},{2},{3},{4}}
[4,3,2,4,1] => [1,4,2,3,4] => [{1},{3},{4},{2,5}] => {{1},{2,5},{3},{4}}
[4,3,4,1,2] => [2,1,4,3,4] => [{2},{1},{4},{3,5}] => {{1},{2},{3,5},{4}}
[4,3,4,2,1] => [1,2,4,3,4] => [{1},{2},{4},{3,5}] => {{1},{2},{3,5},{4}}
[4,4,1,2,3] => [3,2,1,4,4] => [{3},{2},{1},{4,5}] => {{1},{2},{3},{4,5}}
[4,4,1,3,2] => [2,3,1,4,4] => [{3},{1},{2},{4,5}] => {{1},{2},{3},{4,5}}
[4,4,2,1,3] => [3,1,2,4,4] => [{2},{3},{1},{4,5}] => {{1},{2},{3},{4,5}}
[4,4,2,3,1] => [1,3,2,4,4] => [{1},{3},{2},{4,5}] => {{1},{2},{3},{4,5}}
[4,4,3,1,2] => [2,1,3,4,4] => [{2},{1},{3},{4,5}] => {{1},{2},{3},{4,5}}
[4,4,3,2,1] => [1,2,3,4,4] => [{1},{2},{3},{4,5}] => {{1},{2},{3},{4,5}}
[1,2,3,4,5] => [5,4,3,2,1] => [{5},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5}}
[1,2,3,5,4] => [4,5,3,2,1] => [{5},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5}}
[1,2,4,3,5] => [5,3,4,2,1] => [{5},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5}}
[1,2,4,5,3] => [3,5,4,2,1] => [{5},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5}}
[1,2,5,3,4] => [4,3,5,2,1] => [{5},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5}}
[1,2,5,4,3] => [3,4,5,2,1] => [{5},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5}}
[1,3,2,4,5] => [5,4,2,3,1] => [{5},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5}}
[1,3,2,5,4] => [4,5,2,3,1] => [{5},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5}}
[1,3,4,2,5] => [5,2,4,3,1] => [{5},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5}}
[1,3,4,5,2] => [2,5,4,3,1] => [{5},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5}}
[1,3,5,2,4] => [4,2,5,3,1] => [{5},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5}}
[1,3,5,4,2] => [2,4,5,3,1] => [{5},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5}}
[1,4,2,3,5] => [5,3,2,4,1] => [{5},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5}}
[1,4,2,5,3] => [3,5,2,4,1] => [{5},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5}}
[1,4,3,2,5] => [5,2,3,4,1] => [{5},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5}}
[1,4,3,5,2] => [2,5,3,4,1] => [{5},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5}}
[1,4,5,2,3] => [3,2,5,4,1] => [{5},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5}}
[1,4,5,3,2] => [2,3,5,4,1] => [{5},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5}}
[1,5,2,3,4] => [4,3,2,5,1] => [{5},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5}}
[1,5,2,4,3] => [3,4,2,5,1] => [{5},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5}}
[1,5,3,2,4] => [4,2,3,5,1] => [{5},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5}}
[1,5,3,4,2] => [2,4,3,5,1] => [{5},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5}}
[1,5,4,2,3] => [3,2,4,5,1] => [{5},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5}}
[1,5,4,3,2] => [2,3,4,5,1] => [{5},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5}}
[2,1,3,4,5] => [5,4,3,1,2] => [{4},{5},{3},{2},{1}] => {{1},{2},{3},{4},{5}}
[2,1,3,5,4] => [4,5,3,1,2] => [{4},{5},{3},{1},{2}] => {{1},{2},{3},{4},{5}}
[2,1,4,3,5] => [5,3,4,1,2] => [{4},{5},{2},{3},{1}] => {{1},{2},{3},{4},{5}}
[2,1,4,5,3] => [3,5,4,1,2] => [{4},{5},{1},{3},{2}] => {{1},{2},{3},{4},{5}}
[2,1,5,3,4] => [4,3,5,1,2] => [{4},{5},{2},{1},{3}] => {{1},{2},{3},{4},{5}}
[2,1,5,4,3] => [3,4,5,1,2] => [{4},{5},{1},{2},{3}] => {{1},{2},{3},{4},{5}}
[2,3,1,4,5] => [5,4,1,3,2] => [{3},{5},{4},{2},{1}] => {{1},{2},{3},{4},{5}}
[2,3,1,5,4] => [4,5,1,3,2] => [{3},{5},{4},{1},{2}] => {{1},{2},{3},{4},{5}}
[2,3,4,1,5] => [5,1,4,3,2] => [{2},{5},{4},{3},{1}] => {{1},{2},{3},{4},{5}}
[2,3,4,5,1] => [1,5,4,3,2] => [{1},{5},{4},{3},{2}] => {{1},{2},{3},{4},{5}}
[2,3,5,1,4] => [4,1,5,3,2] => [{2},{5},{4},{1},{3}] => {{1},{2},{3},{4},{5}}
[2,3,5,4,1] => [1,4,5,3,2] => [{1},{5},{4},{2},{3}] => {{1},{2},{3},{4},{5}}
[2,4,1,3,5] => [5,3,1,4,2] => [{3},{5},{2},{4},{1}] => {{1},{2},{3},{4},{5}}
[2,4,1,5,3] => [3,5,1,4,2] => [{3},{5},{1},{4},{2}] => {{1},{2},{3},{4},{5}}
[2,4,3,1,5] => [5,1,3,4,2] => [{2},{5},{3},{4},{1}] => {{1},{2},{3},{4},{5}}
[2,4,3,5,1] => [1,5,3,4,2] => [{1},{5},{3},{4},{2}] => {{1},{2},{3},{4},{5}}
[2,4,5,1,3] => [3,1,5,4,2] => [{2},{5},{1},{4},{3}] => {{1},{2},{3},{4},{5}}
[2,4,5,3,1] => [1,3,5,4,2] => [{1},{5},{2},{4},{3}] => {{1},{2},{3},{4},{5}}
[2,5,1,3,4] => [4,3,1,5,2] => [{3},{5},{2},{1},{4}] => {{1},{2},{3},{4},{5}}
[2,5,1,4,3] => [3,4,1,5,2] => [{3},{5},{1},{2},{4}] => {{1},{2},{3},{4},{5}}
[2,5,3,1,4] => [4,1,3,5,2] => [{2},{5},{3},{1},{4}] => {{1},{2},{3},{4},{5}}
[2,5,3,4,1] => [1,4,3,5,2] => [{1},{5},{3},{2},{4}] => {{1},{2},{3},{4},{5}}
[2,5,4,1,3] => [3,1,4,5,2] => [{2},{5},{1},{3},{4}] => {{1},{2},{3},{4},{5}}
[2,5,4,3,1] => [1,3,4,5,2] => [{1},{5},{2},{3},{4}] => {{1},{2},{3},{4},{5}}
[3,1,2,4,5] => [5,4,2,1,3] => [{4},{3},{5},{2},{1}] => {{1},{2},{3},{4},{5}}
[3,1,2,5,4] => [4,5,2,1,3] => [{4},{3},{5},{1},{2}] => {{1},{2},{3},{4},{5}}
[3,1,4,2,5] => [5,2,4,1,3] => [{4},{2},{5},{3},{1}] => {{1},{2},{3},{4},{5}}
[3,1,4,5,2] => [2,5,4,1,3] => [{4},{1},{5},{3},{2}] => {{1},{2},{3},{4},{5}}
[3,1,5,2,4] => [4,2,5,1,3] => [{4},{2},{5},{1},{3}] => {{1},{2},{3},{4},{5}}
[3,1,5,4,2] => [2,4,5,1,3] => [{4},{1},{5},{2},{3}] => {{1},{2},{3},{4},{5}}
[3,2,1,4,5] => [5,4,1,2,3] => [{3},{4},{5},{2},{1}] => {{1},{2},{3},{4},{5}}
[3,2,1,5,4] => [4,5,1,2,3] => [{3},{4},{5},{1},{2}] => {{1},{2},{3},{4},{5}}
[3,2,4,1,5] => [5,1,4,2,3] => [{2},{4},{5},{3},{1}] => {{1},{2},{3},{4},{5}}
[3,2,4,5,1] => [1,5,4,2,3] => [{1},{4},{5},{3},{2}] => {{1},{2},{3},{4},{5}}
[3,2,5,1,4] => [4,1,5,2,3] => [{2},{4},{5},{1},{3}] => {{1},{2},{3},{4},{5}}
[3,2,5,4,1] => [1,4,5,2,3] => [{1},{4},{5},{2},{3}] => {{1},{2},{3},{4},{5}}
[3,4,1,2,5] => [5,2,1,4,3] => [{3},{2},{5},{4},{1}] => {{1},{2},{3},{4},{5}}
[3,4,1,5,2] => [2,5,1,4,3] => [{3},{1},{5},{4},{2}] => {{1},{2},{3},{4},{5}}
[3,4,2,1,5] => [5,1,2,4,3] => [{2},{3},{5},{4},{1}] => {{1},{2},{3},{4},{5}}
[3,4,2,5,1] => [1,5,2,4,3] => [{1},{3},{5},{4},{2}] => {{1},{2},{3},{4},{5}}
[3,4,5,1,2] => [2,1,5,4,3] => [{2},{1},{5},{4},{3}] => {{1},{2},{3},{4},{5}}
[3,4,5,2,1] => [1,2,5,4,3] => [{1},{2},{5},{4},{3}] => {{1},{2},{3},{4},{5}}
[3,5,1,2,4] => [4,2,1,5,3] => [{3},{2},{5},{1},{4}] => {{1},{2},{3},{4},{5}}
[3,5,1,4,2] => [2,4,1,5,3] => [{3},{1},{5},{2},{4}] => {{1},{2},{3},{4},{5}}
[3,5,2,1,4] => [4,1,2,5,3] => [{2},{3},{5},{1},{4}] => {{1},{2},{3},{4},{5}}
[3,5,2,4,1] => [1,4,2,5,3] => [{1},{3},{5},{2},{4}] => {{1},{2},{3},{4},{5}}
[3,5,4,1,2] => [2,1,4,5,3] => [{2},{1},{5},{3},{4}] => {{1},{2},{3},{4},{5}}
[3,5,4,2,1] => [1,2,4,5,3] => [{1},{2},{5},{3},{4}] => {{1},{2},{3},{4},{5}}
[4,1,2,3,5] => [5,3,2,1,4] => [{4},{3},{2},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,1,2,5,3] => [3,5,2,1,4] => [{4},{3},{1},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,1,3,2,5] => [5,2,3,1,4] => [{4},{2},{3},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,1,3,5,2] => [2,5,3,1,4] => [{4},{1},{3},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,1,5,2,3] => [3,2,5,1,4] => [{4},{2},{1},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,1,5,3,2] => [2,3,5,1,4] => [{4},{1},{2},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,2,1,3,5] => [5,3,1,2,4] => [{3},{4},{2},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,2,1,5,3] => [3,5,1,2,4] => [{3},{4},{1},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,2,3,1,5] => [5,1,3,2,4] => [{2},{4},{3},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,2,3,5,1] => [1,5,3,2,4] => [{1},{4},{3},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,2,5,1,3] => [3,1,5,2,4] => [{2},{4},{1},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,2,5,3,1] => [1,3,5,2,4] => [{1},{4},{2},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,3,1,2,5] => [5,2,1,3,4] => [{3},{2},{4},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,3,1,5,2] => [2,5,1,3,4] => [{3},{1},{4},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,3,2,1,5] => [5,1,2,3,4] => [{2},{3},{4},{5},{1}] => {{1},{2},{3},{4},{5}}
[4,3,2,5,1] => [1,5,2,3,4] => [{1},{3},{4},{5},{2}] => {{1},{2},{3},{4},{5}}
[4,3,5,1,2] => [2,1,5,3,4] => [{2},{1},{4},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,3,5,2,1] => [1,2,5,3,4] => [{1},{2},{4},{5},{3}] => {{1},{2},{3},{4},{5}}
[4,5,1,2,3] => [3,2,1,5,4] => [{3},{2},{1},{5},{4}] => {{1},{2},{3},{4},{5}}
[4,5,1,3,2] => [2,3,1,5,4] => [{3},{1},{2},{5},{4}] => {{1},{2},{3},{4},{5}}
[4,5,2,1,3] => [3,1,2,5,4] => [{2},{3},{1},{5},{4}] => {{1},{2},{3},{4},{5}}
[4,5,2,3,1] => [1,3,2,5,4] => [{1},{3},{2},{5},{4}] => {{1},{2},{3},{4},{5}}
[4,5,3,1,2] => [2,1,3,5,4] => [{2},{1},{3},{5},{4}] => {{1},{2},{3},{4},{5}}
[4,5,3,2,1] => [1,2,3,5,4] => [{1},{2},{3},{5},{4}] => {{1},{2},{3},{4},{5}}
[5,1,2,3,4] => [4,3,2,1,5] => [{4},{3},{2},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,1,2,4,3] => [3,4,2,1,5] => [{4},{3},{1},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,1,3,2,4] => [4,2,3,1,5] => [{4},{2},{3},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,1,3,4,2] => [2,4,3,1,5] => [{4},{1},{3},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,1,4,2,3] => [3,2,4,1,5] => [{4},{2},{1},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,1,4,3,2] => [2,3,4,1,5] => [{4},{1},{2},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,2,1,3,4] => [4,3,1,2,5] => [{3},{4},{2},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,2,1,4,3] => [3,4,1,2,5] => [{3},{4},{1},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,2,3,1,4] => [4,1,3,2,5] => [{2},{4},{3},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,2,3,4,1] => [1,4,3,2,5] => [{1},{4},{3},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,2,4,1,3] => [3,1,4,2,5] => [{2},{4},{1},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,2,4,3,1] => [1,3,4,2,5] => [{1},{4},{2},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,3,1,2,4] => [4,2,1,3,5] => [{3},{2},{4},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,3,1,4,2] => [2,4,1,3,5] => [{3},{1},{4},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,3,2,1,4] => [4,1,2,3,5] => [{2},{3},{4},{1},{5}] => {{1},{2},{3},{4},{5}}
[5,3,2,4,1] => [1,4,2,3,5] => [{1},{3},{4},{2},{5}] => {{1},{2},{3},{4},{5}}
[5,3,4,1,2] => [2,1,4,3,5] => [{2},{1},{4},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,3,4,2,1] => [1,2,4,3,5] => [{1},{2},{4},{3},{5}] => {{1},{2},{3},{4},{5}}
[5,4,1,2,3] => [3,2,1,4,5] => [{3},{2},{1},{4},{5}] => {{1},{2},{3},{4},{5}}
[5,4,1,3,2] => [2,3,1,4,5] => [{3},{1},{2},{4},{5}] => {{1},{2},{3},{4},{5}}
[5,4,2,1,3] => [3,1,2,4,5] => [{2},{3},{1},{4},{5}] => {{1},{2},{3},{4},{5}}
[5,4,2,3,1] => [1,3,2,4,5] => [{1},{3},{2},{4},{5}] => {{1},{2},{3},{4},{5}}
[5,4,3,1,2] => [2,1,3,4,5] => [{2},{1},{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}}
[1,1,1,1,1,1] => [1,1,1,1,1,1] => [{1,2,3,4,5,6}] => {{1,2,3,4,5,6}}
[1,1,1,1,1,2] => [2,1,1,1,1,1] => [{2,3,4,5,6},{1}] => {{1},{2,3,4,5,6}}
[1,1,1,1,2,1] => [1,2,1,1,1,1] => [{1,3,4,5,6},{2}] => {{1,3,4,5,6},{2}}
[1,1,1,2,1,1] => [1,1,2,1,1,1] => [{1,2,4,5,6},{3}] => {{1,2,4,5,6},{3}}
[1,1,2,1,1,1] => [1,1,1,2,1,1] => [{1,2,3,5,6},{4}] => {{1,2,3,5,6},{4}}
[1,2,1,1,1,1] => [1,1,1,1,2,1] => [{1,2,3,4,6},{5}] => {{1,2,3,4,6},{5}}
[2,1,1,1,1,1] => [1,1,1,1,1,2] => [{1,2,3,4,5},{6}] => {{1,2,3,4,5},{6}}
[1,1,1,1,1,3] => [3,1,1,1,1,1] => [{2,3,4,5,6},{1}] => {{1},{2,3,4,5,6}}
[1,1,1,1,3,1] => [1,3,1,1,1,1] => [{1,3,4,5,6},{2}] => {{1,3,4,5,6},{2}}
[1,1,1,3,1,1] => [1,1,3,1,1,1] => [{1,2,4,5,6},{3}] => {{1,2,4,5,6},{3}}
[1,1,3,1,1,1] => [1,1,1,3,1,1] => [{1,2,3,5,6},{4}] => {{1,2,3,5,6},{4}}
[1,3,1,1,1,1] => [1,1,1,1,3,1] => [{1,2,3,4,6},{5}] => {{1,2,3,4,6},{5}}
[3,1,1,1,1,1] => [1,1,1,1,1,3] => [{1,2,3,4,5},{6}] => {{1,2,3,4,5},{6}}
[1,1,1,1,1,4] => [4,1,1,1,1,1] => [{2,3,4,5,6},{1}] => {{1},{2,3,4,5,6}}
[1,1,1,1,4,1] => [1,4,1,1,1,1] => [{1,3,4,5,6},{2}] => {{1,3,4,5,6},{2}}
[1,1,1,4,1,1] => [1,1,4,1,1,1] => [{1,2,4,5,6},{3}] => {{1,2,4,5,6},{3}}
[1,1,4,1,1,1] => [1,1,1,4,1,1] => [{1,2,3,5,6},{4}] => {{1,2,3,5,6},{4}}
[1,4,1,1,1,1] => [1,1,1,1,4,1] => [{1,2,3,4,6},{5}] => {{1,2,3,4,6},{5}}
[4,1,1,1,1,1] => [1,1,1,1,1,4] => [{1,2,3,4,5},{6}] => {{1,2,3,4,5},{6}}
[1,1,1,1,1,5] => [5,1,1,1,1,1] => [{2,3,4,5,6},{1}] => {{1},{2,3,4,5,6}}
[1,1,1,1,5,1] => [1,5,1,1,1,1] => [{1,3,4,5,6},{2}] => {{1,3,4,5,6},{2}}
[1,1,1,5,1,1] => [1,1,5,1,1,1] => [{1,2,4,5,6},{3}] => {{1,2,4,5,6},{3}}
[1,1,5,1,1,1] => [1,1,1,5,1,1] => [{1,2,3,5,6},{4}] => {{1,2,3,5,6},{4}}
[1,5,1,1,1,1] => [1,1,1,1,5,1] => [{1,2,3,4,6},{5}] => {{1,2,3,4,6},{5}}
[5,1,1,1,1,1] => [1,1,1,1,1,5] => [{1,2,3,4,5},{6}] => {{1,2,3,4,5},{6}}
[1,1,1,1,1,6] => [6,1,1,1,1,1] => [{2,3,4,5,6},{1}] => {{1},{2,3,4,5,6}}
[1,1,1,1,6,1] => [1,6,1,1,1,1] => [{1,3,4,5,6},{2}] => {{1,3,4,5,6},{2}}
[1,1,1,6,1,1] => [1,1,6,1,1,1] => [{1,2,4,5,6},{3}] => {{1,2,4,5,6},{3}}
[1,1,6,1,1,1] => [1,1,1,6,1,1] => [{1,2,3,5,6},{4}] => {{1,2,3,5,6},{4}}
[1,6,1,1,1,1] => [1,1,1,1,6,1] => [{1,2,3,4,6},{5}] => {{1,2,3,4,6},{5}}
[6,1,1,1,1,1] => [1,1,1,1,1,6] => [{1,2,3,4,5},{6}] => {{1,2,3,4,5},{6}}
[1,1,1,1,2,2] => [2,2,1,1,1,1] => [{3,4,5,6},{1,2}] => {{1,2},{3,4,5,6}}
[1,1,1,2,1,2] => [2,1,2,1,1,1] => [{2,4,5,6},{1,3}] => {{1,3},{2,4,5,6}}
[1,1,1,2,2,1] => [1,2,2,1,1,1] => [{1,4,5,6},{2,3}] => {{1,4,5,6},{2,3}}
[1,1,2,1,1,2] => [2,1,1,2,1,1] => [{2,3,5,6},{1,4}] => {{1,4},{2,3,5,6}}
[1,1,2,1,2,1] => [1,2,1,2,1,1] => [{1,3,5,6},{2,4}] => {{1,3,5,6},{2,4}}
[1,1,2,2,1,1] => [1,1,2,2,1,1] => [{1,2,5,6},{3,4}] => {{1,2,5,6},{3,4}}
[1,2,1,1,1,2] => [2,1,1,1,2,1] => [{2,3,4,6},{1,5}] => {{1,5},{2,3,4,6}}
[1,2,1,1,2,1] => [1,2,1,1,2,1] => [{1,3,4,6},{2,5}] => {{1,3,4,6},{2,5}}
[1,2,1,2,1,1] => [1,1,2,1,2,1] => [{1,2,4,6},{3,5}] => {{1,2,4,6},{3,5}}
[1,2,2,1,1,1] => [1,1,1,2,2,1] => [{1,2,3,6},{4,5}] => {{1,2,3,6},{4,5}}
[2,1,1,1,1,2] => [2,1,1,1,1,2] => [{2,3,4,5},{1,6}] => {{1,6},{2,3,4,5}}
[2,1,1,1,2,1] => [1,2,1,1,1,2] => [{1,3,4,5},{2,6}] => {{1,3,4,5},{2,6}}
[2,1,1,2,1,1] => [1,1,2,1,1,2] => [{1,2,4,5},{3,6}] => {{1,2,4,5},{3,6}}
[2,1,2,1,1,1] => [1,1,1,2,1,2] => [{1,2,3,5},{4,6}] => {{1,2,3,5},{4,6}}
[2,2,1,1,1,1] => [1,1,1,1,2,2] => [{1,2,3,4},{5,6}] => {{1,2,3,4},{5,6}}
[1,1,1,1,2,3] => [3,2,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,3,2] => [2,3,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,2,1,3] => [3,1,2,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,2,3,1] => [1,3,2,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,3,1,2] => [2,1,3,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,3,2,1] => [1,2,3,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,2,1,1,3] => [3,1,1,2,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,2,1,3,1] => [1,3,1,2,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,2,3,1,1] => [1,1,3,2,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,3,1,1,2] => [2,1,1,3,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,3,1,2,1] => [1,2,1,3,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,3,2,1,1] => [1,1,2,3,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,2,1,1,1,3] => [3,1,1,1,2,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,2,1,1,3,1] => [1,3,1,1,2,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,2,1,3,1,1] => [1,1,3,1,2,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,2,3,1,1,1] => [1,1,1,3,2,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,3,1,1,1,2] => [2,1,1,1,3,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,3,1,1,2,1] => [1,2,1,1,3,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,3,1,2,1,1] => [1,1,2,1,3,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,3,2,1,1,1] => [1,1,1,2,3,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[2,1,1,1,1,3] => [3,1,1,1,1,2] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[2,1,1,1,3,1] => [1,3,1,1,1,2] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[2,1,1,3,1,1] => [1,1,3,1,1,2] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[2,1,3,1,1,1] => [1,1,1,3,1,2] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[2,3,1,1,1,1] => [1,1,1,1,3,2] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[3,1,1,1,1,2] => [2,1,1,1,1,3] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[3,1,1,1,2,1] => [1,2,1,1,1,3] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[3,1,1,2,1,1] => [1,1,2,1,1,3] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[3,1,2,1,1,1] => [1,1,1,2,1,3] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[3,2,1,1,1,1] => [1,1,1,1,2,3] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,2,4] => [4,2,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,4,2] => [2,4,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,2,1,4] => [4,1,2,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,2,4,1] => [1,4,2,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,4,1,2] => [2,1,4,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,4,2,1] => [1,2,4,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,2,1,1,4] => [4,1,1,2,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,2,1,4,1] => [1,4,1,2,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,2,4,1,1] => [1,1,4,2,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,4,1,1,2] => [2,1,1,4,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,4,1,2,1] => [1,2,1,4,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,4,2,1,1] => [1,1,2,4,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,2,1,1,1,4] => [4,1,1,1,2,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,2,1,1,4,1] => [1,4,1,1,2,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,2,1,4,1,1] => [1,1,4,1,2,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,2,4,1,1,1] => [1,1,1,4,2,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,4,1,1,1,2] => [2,1,1,1,4,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,4,1,1,2,1] => [1,2,1,1,4,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,4,1,2,1,1] => [1,1,2,1,4,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,4,2,1,1,1] => [1,1,1,2,4,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[2,1,1,1,1,4] => [4,1,1,1,1,2] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[2,1,1,1,4,1] => [1,4,1,1,1,2] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[2,1,1,4,1,1] => [1,1,4,1,1,2] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[2,1,4,1,1,1] => [1,1,1,4,1,2] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[2,4,1,1,1,1] => [1,1,1,1,4,2] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[4,1,1,1,1,2] => [2,1,1,1,1,4] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[4,1,1,1,2,1] => [1,2,1,1,1,4] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[4,1,1,2,1,1] => [1,1,2,1,1,4] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[4,1,2,1,1,1] => [1,1,1,2,1,4] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[4,2,1,1,1,1] => [1,1,1,1,2,4] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,2,5] => [5,2,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,5,2] => [2,5,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,2,1,5] => [5,1,2,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,2,5,1] => [1,5,2,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,5,1,2] => [2,1,5,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,5,2,1] => [1,2,5,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,2,1,1,5] => [5,1,1,2,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,2,1,5,1] => [1,5,1,2,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,2,5,1,1] => [1,1,5,2,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,5,1,1,2] => [2,1,1,5,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,5,1,2,1] => [1,2,1,5,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,5,2,1,1] => [1,1,2,5,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,2,1,1,1,5] => [5,1,1,1,2,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,2,1,1,5,1] => [1,5,1,1,2,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,2,1,5,1,1] => [1,1,5,1,2,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,2,5,1,1,1] => [1,1,1,5,2,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,5,1,1,1,2] => [2,1,1,1,5,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,5,1,1,2,1] => [1,2,1,1,5,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,5,1,2,1,1] => [1,1,2,1,5,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,5,2,1,1,1] => [1,1,1,2,5,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[2,1,1,1,1,5] => [5,1,1,1,1,2] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[2,1,1,1,5,1] => [1,5,1,1,1,2] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[2,1,1,5,1,1] => [1,1,5,1,1,2] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[2,1,5,1,1,1] => [1,1,1,5,1,2] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[2,5,1,1,1,1] => [1,1,1,1,5,2] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[5,1,1,1,1,2] => [2,1,1,1,1,5] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[5,1,1,1,2,1] => [1,2,1,1,1,5] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[5,1,1,2,1,1] => [1,1,2,1,1,5] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[5,1,2,1,1,1] => [1,1,1,2,1,5] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[5,2,1,1,1,1] => [1,1,1,1,2,5] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,2,6] => [6,2,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,6,2] => [2,6,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,2,1,6] => [6,1,2,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,2,6,1] => [1,6,2,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,6,1,2] => [2,1,6,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,6,2,1] => [1,2,6,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,2,1,1,6] => [6,1,1,2,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,2,1,6,1] => [1,6,1,2,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,2,6,1,1] => [1,1,6,2,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,6,1,1,2] => [2,1,1,6,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,6,1,2,1] => [1,2,1,6,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,6,2,1,1] => [1,1,2,6,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,2,1,1,1,6] => [6,1,1,1,2,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,2,1,1,6,1] => [1,6,1,1,2,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,2,1,6,1,1] => [1,1,6,1,2,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,2,6,1,1,1] => [1,1,1,6,2,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,6,1,1,1,2] => [2,1,1,1,6,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,6,1,1,2,1] => [1,2,1,1,6,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,6,1,2,1,1] => [1,1,2,1,6,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,6,2,1,1,1] => [1,1,1,2,6,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[2,1,1,1,1,6] => [6,1,1,1,1,2] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[2,1,1,1,6,1] => [1,6,1,1,1,2] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[2,1,1,6,1,1] => [1,1,6,1,1,2] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[2,1,6,1,1,1] => [1,1,1,6,1,2] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[2,6,1,1,1,1] => [1,1,1,1,6,2] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[6,1,1,1,1,2] => [2,1,1,1,1,6] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[6,1,1,1,2,1] => [1,2,1,1,1,6] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[6,1,1,2,1,1] => [1,1,2,1,1,6] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[6,1,2,1,1,1] => [1,1,1,2,1,6] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[6,2,1,1,1,1] => [1,1,1,1,2,6] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,3,3] => [3,3,1,1,1,1] => [{3,4,5,6},{1,2}] => {{1,2},{3,4,5,6}}
[1,1,1,3,1,3] => [3,1,3,1,1,1] => [{2,4,5,6},{1,3}] => {{1,3},{2,4,5,6}}
[1,1,1,3,3,1] => [1,3,3,1,1,1] => [{1,4,5,6},{2,3}] => {{1,4,5,6},{2,3}}
[1,1,3,1,1,3] => [3,1,1,3,1,1] => [{2,3,5,6},{1,4}] => {{1,4},{2,3,5,6}}
[1,1,3,1,3,1] => [1,3,1,3,1,1] => [{1,3,5,6},{2,4}] => {{1,3,5,6},{2,4}}
[1,1,3,3,1,1] => [1,1,3,3,1,1] => [{1,2,5,6},{3,4}] => {{1,2,5,6},{3,4}}
[1,3,1,1,1,3] => [3,1,1,1,3,1] => [{2,3,4,6},{1,5}] => {{1,5},{2,3,4,6}}
[1,3,1,1,3,1] => [1,3,1,1,3,1] => [{1,3,4,6},{2,5}] => {{1,3,4,6},{2,5}}
[1,3,1,3,1,1] => [1,1,3,1,3,1] => [{1,2,4,6},{3,5}] => {{1,2,4,6},{3,5}}
[1,3,3,1,1,1] => [1,1,1,3,3,1] => [{1,2,3,6},{4,5}] => {{1,2,3,6},{4,5}}
[3,1,1,1,1,3] => [3,1,1,1,1,3] => [{2,3,4,5},{1,6}] => {{1,6},{2,3,4,5}}
[3,1,1,1,3,1] => [1,3,1,1,1,3] => [{1,3,4,5},{2,6}] => {{1,3,4,5},{2,6}}
[3,1,1,3,1,1] => [1,1,3,1,1,3] => [{1,2,4,5},{3,6}] => {{1,2,4,5},{3,6}}
[3,1,3,1,1,1] => [1,1,1,3,1,3] => [{1,2,3,5},{4,6}] => {{1,2,3,5},{4,6}}
[3,3,1,1,1,1] => [1,1,1,1,3,3] => [{1,2,3,4},{5,6}] => {{1,2,3,4},{5,6}}
[1,1,1,1,3,4] => [4,3,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,4,3] => [3,4,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,3,1,4] => [4,1,3,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,3,4,1] => [1,4,3,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,4,1,3] => [3,1,4,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,4,3,1] => [1,3,4,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,3,1,1,4] => [4,1,1,3,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,3,1,4,1] => [1,4,1,3,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,3,4,1,1] => [1,1,4,3,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,4,1,1,3] => [3,1,1,4,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,4,1,3,1] => [1,3,1,4,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,4,3,1,1] => [1,1,3,4,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,3,1,1,1,4] => [4,1,1,1,3,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,3,1,1,4,1] => [1,4,1,1,3,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,3,1,4,1,1] => [1,1,4,1,3,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,3,4,1,1,1] => [1,1,1,4,3,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,4,1,1,1,3] => [3,1,1,1,4,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,4,1,1,3,1] => [1,3,1,1,4,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,4,1,3,1,1] => [1,1,3,1,4,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,4,3,1,1,1] => [1,1,1,3,4,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[3,1,1,1,1,4] => [4,1,1,1,1,3] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[3,1,1,1,4,1] => [1,4,1,1,1,3] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[3,1,1,4,1,1] => [1,1,4,1,1,3] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[3,1,4,1,1,1] => [1,1,1,4,1,3] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[3,4,1,1,1,1] => [1,1,1,1,4,3] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[4,1,1,1,1,3] => [3,1,1,1,1,4] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[4,1,1,1,3,1] => [1,3,1,1,1,4] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[4,1,1,3,1,1] => [1,1,3,1,1,4] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[4,1,3,1,1,1] => [1,1,1,3,1,4] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[4,3,1,1,1,1] => [1,1,1,1,3,4] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,3,5] => [5,3,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,5,3] => [3,5,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,3,1,5] => [5,1,3,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,3,5,1] => [1,5,3,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,5,1,3] => [3,1,5,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,5,3,1] => [1,3,5,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,3,1,1,5] => [5,1,1,3,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,3,1,5,1] => [1,5,1,3,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,3,5,1,1] => [1,1,5,3,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,5,1,1,3] => [3,1,1,5,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,5,1,3,1] => [1,3,1,5,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,5,3,1,1] => [1,1,3,5,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,3,1,1,1,5] => [5,1,1,1,3,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,3,1,1,5,1] => [1,5,1,1,3,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,3,1,5,1,1] => [1,1,5,1,3,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,3,5,1,1,1] => [1,1,1,5,3,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,5,1,1,1,3] => [3,1,1,1,5,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,5,1,1,3,1] => [1,3,1,1,5,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,5,1,3,1,1] => [1,1,3,1,5,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,5,3,1,1,1] => [1,1,1,3,5,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[3,1,1,1,1,5] => [5,1,1,1,1,3] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[3,1,1,1,5,1] => [1,5,1,1,1,3] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[3,1,1,5,1,1] => [1,1,5,1,1,3] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[3,1,5,1,1,1] => [1,1,1,5,1,3] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[3,5,1,1,1,1] => [1,1,1,1,5,3] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[5,1,1,1,1,3] => [3,1,1,1,1,5] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[5,1,1,1,3,1] => [1,3,1,1,1,5] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[5,1,1,3,1,1] => [1,1,3,1,1,5] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[5,1,3,1,1,1] => [1,1,1,3,1,5] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[5,3,1,1,1,1] => [1,1,1,1,3,5] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,3,6] => [6,3,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,6,3] => [3,6,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,3,1,6] => [6,1,3,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,3,6,1] => [1,6,3,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,6,1,3] => [3,1,6,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,6,3,1] => [1,3,6,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,3,1,1,6] => [6,1,1,3,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,3,1,6,1] => [1,6,1,3,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,3,6,1,1] => [1,1,6,3,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,6,1,1,3] => [3,1,1,6,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,6,1,3,1] => [1,3,1,6,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,6,3,1,1] => [1,1,3,6,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,3,1,1,1,6] => [6,1,1,1,3,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,3,1,1,6,1] => [1,6,1,1,3,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,3,1,6,1,1] => [1,1,6,1,3,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,3,6,1,1,1] => [1,1,1,6,3,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,6,1,1,1,3] => [3,1,1,1,6,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,6,1,1,3,1] => [1,3,1,1,6,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,6,1,3,1,1] => [1,1,3,1,6,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,6,3,1,1,1] => [1,1,1,3,6,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[3,1,1,1,1,6] => [6,1,1,1,1,3] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[3,1,1,1,6,1] => [1,6,1,1,1,3] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[3,1,1,6,1,1] => [1,1,6,1,1,3] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[3,1,6,1,1,1] => [1,1,1,6,1,3] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[3,6,1,1,1,1] => [1,1,1,1,6,3] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[6,1,1,1,1,3] => [3,1,1,1,1,6] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[6,1,1,1,3,1] => [1,3,1,1,1,6] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[6,1,1,3,1,1] => [1,1,3,1,1,6] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[6,1,3,1,1,1] => [1,1,1,3,1,6] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[6,3,1,1,1,1] => [1,1,1,1,3,6] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,4,4] => [4,4,1,1,1,1] => [{3,4,5,6},{1,2}] => {{1,2},{3,4,5,6}}
[1,1,1,4,1,4] => [4,1,4,1,1,1] => [{2,4,5,6},{1,3}] => {{1,3},{2,4,5,6}}
[1,1,1,4,4,1] => [1,4,4,1,1,1] => [{1,4,5,6},{2,3}] => {{1,4,5,6},{2,3}}
[1,1,4,1,1,4] => [4,1,1,4,1,1] => [{2,3,5,6},{1,4}] => {{1,4},{2,3,5,6}}
[1,1,4,1,4,1] => [1,4,1,4,1,1] => [{1,3,5,6},{2,4}] => {{1,3,5,6},{2,4}}
[1,1,4,4,1,1] => [1,1,4,4,1,1] => [{1,2,5,6},{3,4}] => {{1,2,5,6},{3,4}}
[1,4,1,1,1,4] => [4,1,1,1,4,1] => [{2,3,4,6},{1,5}] => {{1,5},{2,3,4,6}}
[1,4,1,1,4,1] => [1,4,1,1,4,1] => [{1,3,4,6},{2,5}] => {{1,3,4,6},{2,5}}
[1,4,1,4,1,1] => [1,1,4,1,4,1] => [{1,2,4,6},{3,5}] => {{1,2,4,6},{3,5}}
[1,4,4,1,1,1] => [1,1,1,4,4,1] => [{1,2,3,6},{4,5}] => {{1,2,3,6},{4,5}}
[4,1,1,1,1,4] => [4,1,1,1,1,4] => [{2,3,4,5},{1,6}] => {{1,6},{2,3,4,5}}
[4,1,1,1,4,1] => [1,4,1,1,1,4] => [{1,3,4,5},{2,6}] => {{1,3,4,5},{2,6}}
[4,1,1,4,1,1] => [1,1,4,1,1,4] => [{1,2,4,5},{3,6}] => {{1,2,4,5},{3,6}}
[4,1,4,1,1,1] => [1,1,1,4,1,4] => [{1,2,3,5},{4,6}] => {{1,2,3,5},{4,6}}
[4,4,1,1,1,1] => [1,1,1,1,4,4] => [{1,2,3,4},{5,6}] => {{1,2,3,4},{5,6}}
[1,1,1,1,4,5] => [5,4,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,5,4] => [4,5,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,4,1,5] => [5,1,4,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,4,5,1] => [1,5,4,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,5,1,4] => [4,1,5,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,5,4,1] => [1,4,5,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,4,1,1,5] => [5,1,1,4,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,4,1,5,1] => [1,5,1,4,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,4,5,1,1] => [1,1,5,4,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,5,1,1,4] => [4,1,1,5,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,5,1,4,1] => [1,4,1,5,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,5,4,1,1] => [1,1,4,5,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,4,1,1,1,5] => [5,1,1,1,4,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,4,1,1,5,1] => [1,5,1,1,4,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,4,1,5,1,1] => [1,1,5,1,4,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,4,5,1,1,1] => [1,1,1,5,4,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,5,1,1,1,4] => [4,1,1,1,5,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,5,1,1,4,1] => [1,4,1,1,5,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,5,1,4,1,1] => [1,1,4,1,5,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,5,4,1,1,1] => [1,1,1,4,5,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[4,1,1,1,1,5] => [5,1,1,1,1,4] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[4,1,1,1,5,1] => [1,5,1,1,1,4] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[4,1,1,5,1,1] => [1,1,5,1,1,4] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[4,1,5,1,1,1] => [1,1,1,5,1,4] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[4,5,1,1,1,1] => [1,1,1,1,5,4] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[5,1,1,1,1,4] => [4,1,1,1,1,5] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[5,1,1,1,4,1] => [1,4,1,1,1,5] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[5,1,1,4,1,1] => [1,1,4,1,1,5] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[5,1,4,1,1,1] => [1,1,1,4,1,5] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[5,4,1,1,1,1] => [1,1,1,1,4,5] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,4,6] => [6,4,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,6,4] => [4,6,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,4,1,6] => [6,1,4,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,4,6,1] => [1,6,4,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,6,1,4] => [4,1,6,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,6,4,1] => [1,4,6,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,4,1,1,6] => [6,1,1,4,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,4,1,6,1] => [1,6,1,4,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,4,6,1,1] => [1,1,6,4,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,6,1,1,4] => [4,1,1,6,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,6,1,4,1] => [1,4,1,6,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,6,4,1,1] => [1,1,4,6,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,4,1,1,1,6] => [6,1,1,1,4,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,4,1,1,6,1] => [1,6,1,1,4,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,4,1,6,1,1] => [1,1,6,1,4,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,4,6,1,1,1] => [1,1,1,6,4,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,6,1,1,1,4] => [4,1,1,1,6,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,6,1,1,4,1] => [1,4,1,1,6,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,6,1,4,1,1] => [1,1,4,1,6,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,6,4,1,1,1] => [1,1,1,4,6,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[4,1,1,1,1,6] => [6,1,1,1,1,4] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[4,1,1,1,6,1] => [1,6,1,1,1,4] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[4,1,1,6,1,1] => [1,1,6,1,1,4] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[4,1,6,1,1,1] => [1,1,1,6,1,4] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[4,6,1,1,1,1] => [1,1,1,1,6,4] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[6,1,1,1,1,4] => [4,1,1,1,1,6] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[6,1,1,1,4,1] => [1,4,1,1,1,6] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[6,1,1,4,1,1] => [1,1,4,1,1,6] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[6,1,4,1,1,1] => [1,1,1,4,1,6] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[6,4,1,1,1,1] => [1,1,1,1,4,6] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,1,5,5] => [5,5,1,1,1,1] => [{3,4,5,6},{1,2}] => {{1,2},{3,4,5,6}}
[1,1,1,5,1,5] => [5,1,5,1,1,1] => [{2,4,5,6},{1,3}] => {{1,3},{2,4,5,6}}
[1,1,1,5,5,1] => [1,5,5,1,1,1] => [{1,4,5,6},{2,3}] => {{1,4,5,6},{2,3}}
[1,1,5,1,1,5] => [5,1,1,5,1,1] => [{2,3,5,6},{1,4}] => {{1,4},{2,3,5,6}}
[1,1,5,1,5,1] => [1,5,1,5,1,1] => [{1,3,5,6},{2,4}] => {{1,3,5,6},{2,4}}
[1,1,5,5,1,1] => [1,1,5,5,1,1] => [{1,2,5,6},{3,4}] => {{1,2,5,6},{3,4}}
[1,5,1,1,1,5] => [5,1,1,1,5,1] => [{2,3,4,6},{1,5}] => {{1,5},{2,3,4,6}}
[1,5,1,1,5,1] => [1,5,1,1,5,1] => [{1,3,4,6},{2,5}] => {{1,3,4,6},{2,5}}
[1,5,1,5,1,1] => [1,1,5,1,5,1] => [{1,2,4,6},{3,5}] => {{1,2,4,6},{3,5}}
[1,5,5,1,1,1] => [1,1,1,5,5,1] => [{1,2,3,6},{4,5}] => {{1,2,3,6},{4,5}}
[5,1,1,1,1,5] => [5,1,1,1,1,5] => [{2,3,4,5},{1,6}] => {{1,6},{2,3,4,5}}
[5,1,1,1,5,1] => [1,5,1,1,1,5] => [{1,3,4,5},{2,6}] => {{1,3,4,5},{2,6}}
[5,1,1,5,1,1] => [1,1,5,1,1,5] => [{1,2,4,5},{3,6}] => {{1,2,4,5},{3,6}}
[5,1,5,1,1,1] => [1,1,1,5,1,5] => [{1,2,3,5},{4,6}] => {{1,2,3,5},{4,6}}
[5,5,1,1,1,1] => [1,1,1,1,5,5] => [{1,2,3,4},{5,6}] => {{1,2,3,4},{5,6}}
[1,1,1,1,5,6] => [6,5,1,1,1,1] => [{3,4,5,6},{2},{1}] => {{1},{2},{3,4,5,6}}
[1,1,1,1,6,5] => [5,6,1,1,1,1] => [{3,4,5,6},{1},{2}] => {{1},{2},{3,4,5,6}}
[1,1,1,5,1,6] => [6,1,5,1,1,1] => [{2,4,5,6},{3},{1}] => {{1},{2,4,5,6},{3}}
[1,1,1,5,6,1] => [1,6,5,1,1,1] => [{1,4,5,6},{3},{2}] => {{1,4,5,6},{2},{3}}
[1,1,1,6,1,5] => [5,1,6,1,1,1] => [{2,4,5,6},{1},{3}] => {{1},{2,4,5,6},{3}}
[1,1,1,6,5,1] => [1,5,6,1,1,1] => [{1,4,5,6},{2},{3}] => {{1,4,5,6},{2},{3}}
[1,1,5,1,1,6] => [6,1,1,5,1,1] => [{2,3,5,6},{4},{1}] => {{1},{2,3,5,6},{4}}
[1,1,5,1,6,1] => [1,6,1,5,1,1] => [{1,3,5,6},{4},{2}] => {{1,3,5,6},{2},{4}}
[1,1,5,6,1,1] => [1,1,6,5,1,1] => [{1,2,5,6},{4},{3}] => {{1,2,5,6},{3},{4}}
[1,1,6,1,1,5] => [5,1,1,6,1,1] => [{2,3,5,6},{1},{4}] => {{1},{2,3,5,6},{4}}
[1,1,6,1,5,1] => [1,5,1,6,1,1] => [{1,3,5,6},{2},{4}] => {{1,3,5,6},{2},{4}}
[1,1,6,5,1,1] => [1,1,5,6,1,1] => [{1,2,5,6},{3},{4}] => {{1,2,5,6},{3},{4}}
[1,5,1,1,1,6] => [6,1,1,1,5,1] => [{2,3,4,6},{5},{1}] => {{1},{2,3,4,6},{5}}
[1,5,1,1,6,1] => [1,6,1,1,5,1] => [{1,3,4,6},{5},{2}] => {{1,3,4,6},{2},{5}}
[1,5,1,6,1,1] => [1,1,6,1,5,1] => [{1,2,4,6},{5},{3}] => {{1,2,4,6},{3},{5}}
[1,5,6,1,1,1] => [1,1,1,6,5,1] => [{1,2,3,6},{5},{4}] => {{1,2,3,6},{4},{5}}
[1,6,1,1,1,5] => [5,1,1,1,6,1] => [{2,3,4,6},{1},{5}] => {{1},{2,3,4,6},{5}}
[1,6,1,1,5,1] => [1,5,1,1,6,1] => [{1,3,4,6},{2},{5}] => {{1,3,4,6},{2},{5}}
[1,6,1,5,1,1] => [1,1,5,1,6,1] => [{1,2,4,6},{3},{5}] => {{1,2,4,6},{3},{5}}
[1,6,5,1,1,1] => [1,1,1,5,6,1] => [{1,2,3,6},{4},{5}] => {{1,2,3,6},{4},{5}}
[5,1,1,1,1,6] => [6,1,1,1,1,5] => [{2,3,4,5},{6},{1}] => {{1},{2,3,4,5},{6}}
[5,1,1,1,6,1] => [1,6,1,1,1,5] => [{1,3,4,5},{6},{2}] => {{1,3,4,5},{2},{6}}
[5,1,1,6,1,1] => [1,1,6,1,1,5] => [{1,2,4,5},{6},{3}] => {{1,2,4,5},{3},{6}}
[5,1,6,1,1,1] => [1,1,1,6,1,5] => [{1,2,3,5},{6},{4}] => {{1,2,3,5},{4},{6}}
[5,6,1,1,1,1] => [1,1,1,1,6,5] => [{1,2,3,4},{6},{5}] => {{1,2,3,4},{5},{6}}
[6,1,1,1,1,5] => [5,1,1,1,1,6] => [{2,3,4,5},{1},{6}] => {{1},{2,3,4,5},{6}}
[6,1,1,1,5,1] => [1,5,1,1,1,6] => [{1,3,4,5},{2},{6}] => {{1,3,4,5},{2},{6}}
[6,1,1,5,1,1] => [1,1,5,1,1,6] => [{1,2,4,5},{3},{6}] => {{1,2,4,5},{3},{6}}
[6,1,5,1,1,1] => [1,1,1,5,1,6] => [{1,2,3,5},{4},{6}] => {{1,2,3,5},{4},{6}}
[6,5,1,1,1,1] => [1,1,1,1,5,6] => [{1,2,3,4},{5},{6}] => {{1,2,3,4},{5},{6}}
[1,1,1,2,2,2] => [2,2,2,1,1,1] => [{4,5,6},{1,2,3}] => {{1,2,3},{4,5,6}}
[1,1,2,1,2,2] => [2,2,1,2,1,1] => [{3,5,6},{1,2,4}] => {{1,2,4},{3,5,6}}
[1,1,2,2,1,2] => [2,1,2,2,1,1] => [{2,5,6},{1,3,4}] => {{1,3,4},{2,5,6}}
[1,1,2,2,2,1] => [1,2,2,2,1,1] => [{1,5,6},{2,3,4}] => {{1,5,6},{2,3,4}}
[1,2,1,1,2,2] => [2,2,1,1,2,1] => [{3,4,6},{1,2,5}] => {{1,2,5},{3,4,6}}
[1,2,1,2,1,2] => [2,1,2,1,2,1] => [{2,4,6},{1,3,5}] => {{1,3,5},{2,4,6}}
[1,2,1,2,2,1] => [1,2,2,1,2,1] => [{1,4,6},{2,3,5}] => {{1,4,6},{2,3,5}}
[1,2,2,1,1,2] => [2,1,1,2,2,1] => [{2,3,6},{1,4,5}] => {{1,4,5},{2,3,6}}
[1,2,2,1,2,1] => [1,2,1,2,2,1] => [{1,3,6},{2,4,5}] => {{1,3,6},{2,4,5}}
[1,2,2,2,1,1] => [1,1,2,2,2,1] => [{1,2,6},{3,4,5}] => {{1,2,6},{3,4,5}}
[2,1,1,1,2,2] => [2,2,1,1,1,2] => [{3,4,5},{1,2,6}] => {{1,2,6},{3,4,5}}
[2,1,1,2,1,2] => [2,1,2,1,1,2] => [{2,4,5},{1,3,6}] => {{1,3,6},{2,4,5}}
[2,1,1,2,2,1] => [1,2,2,1,1,2] => [{1,4,5},{2,3,6}] => {{1,4,5},{2,3,6}}
[2,1,2,1,1,2] => [2,1,1,2,1,2] => [{2,3,5},{1,4,6}] => {{1,4,6},{2,3,5}}
[2,1,2,1,2,1] => [1,2,1,2,1,2] => [{1,3,5},{2,4,6}] => {{1,3,5},{2,4,6}}
[2,1,2,2,1,1] => [1,1,2,2,1,2] => [{1,2,5},{3,4,6}] => {{1,2,5},{3,4,6}}
[2,2,1,1,1,2] => [2,1,1,1,2,2] => [{2,3,4},{1,5,6}] => {{1,5,6},{2,3,4}}
[2,2,1,1,2,1] => [1,2,1,1,2,2] => [{1,3,4},{2,5,6}] => {{1,3,4},{2,5,6}}
[2,2,1,2,1,1] => [1,1,2,1,2,2] => [{1,2,4},{3,5,6}] => {{1,2,4},{3,5,6}}
[2,2,2,1,1,1] => [1,1,1,2,2,2] => [{1,2,3},{4,5,6}] => {{1,2,3},{4,5,6}}
[1,1,1,2,2,3] => [3,2,2,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,2,3,2] => [2,3,2,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,3,2,2] => [2,2,3,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,2,1,2,3] => [3,2,1,2,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,2,1,3,2] => [2,3,1,2,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,2,2,1,3] => [3,1,2,2,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,2,2,3,1] => [1,3,2,2,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,2,3,1,2] => [2,1,3,2,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,2,3,2,1] => [1,2,3,2,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,3,1,2,2] => [2,2,1,3,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,3,2,1,2] => [2,1,2,3,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,3,2,2,1] => [1,2,2,3,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,2,1,1,2,3] => [3,2,1,1,2,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,2,1,1,3,2] => [2,3,1,1,2,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,2,1,2,1,3] => [3,1,2,1,2,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,2,1,2,3,1] => [1,3,2,1,2,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,2,1,3,1,2] => [2,1,3,1,2,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,2,1,3,2,1] => [1,2,3,1,2,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,2,2,1,1,3] => [3,1,1,2,2,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,2,2,1,3,1] => [1,3,1,2,2,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,2,2,3,1,1] => [1,1,3,2,2,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,2,3,1,1,2] => [2,1,1,3,2,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,2,3,1,2,1] => [1,2,1,3,2,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,2,3,2,1,1] => [1,1,2,3,2,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,3,1,1,2,2] => [2,2,1,1,3,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,3,1,2,1,2] => [2,1,2,1,3,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,3,1,2,2,1] => [1,2,2,1,3,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,3,2,1,1,2] => [2,1,1,2,3,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,3,2,1,2,1] => [1,2,1,2,3,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,3,2,2,1,1] => [1,1,2,2,3,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[2,1,1,1,2,3] => [3,2,1,1,1,2] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[2,1,1,1,3,2] => [2,3,1,1,1,2] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[2,1,1,2,1,3] => [3,1,2,1,1,2] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[2,1,1,2,3,1] => [1,3,2,1,1,2] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[2,1,1,3,1,2] => [2,1,3,1,1,2] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[2,1,1,3,2,1] => [1,2,3,1,1,2] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[2,1,2,1,1,3] => [3,1,1,2,1,2] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[2,1,2,1,3,1] => [1,3,1,2,1,2] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[2,1,2,3,1,1] => [1,1,3,2,1,2] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[2,1,3,1,1,2] => [2,1,1,3,1,2] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[2,1,3,1,2,1] => [1,2,1,3,1,2] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[2,1,3,2,1,1] => [1,1,2,3,1,2] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[2,2,1,1,1,3] => [3,1,1,1,2,2] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[2,2,1,1,3,1] => [1,3,1,1,2,2] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[2,2,1,3,1,1] => [1,1,3,1,2,2] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[2,2,3,1,1,1] => [1,1,1,3,2,2] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[2,3,1,1,1,2] => [2,1,1,1,3,2] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[2,3,1,1,2,1] => [1,2,1,1,3,2] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[2,3,1,2,1,1] => [1,1,2,1,3,2] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[2,3,2,1,1,1] => [1,1,1,2,3,2] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[3,1,1,1,2,2] => [2,2,1,1,1,3] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[3,1,1,2,1,2] => [2,1,2,1,1,3] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[3,1,1,2,2,1] => [1,2,2,1,1,3] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[3,1,2,1,1,2] => [2,1,1,2,1,3] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[3,1,2,1,2,1] => [1,2,1,2,1,3] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[3,1,2,2,1,1] => [1,1,2,2,1,3] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[3,2,1,1,1,2] => [2,1,1,1,2,3] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[3,2,1,1,2,1] => [1,2,1,1,2,3] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[3,2,1,2,1,1] => [1,1,2,1,2,3] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[3,2,2,1,1,1] => [1,1,1,2,2,3] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,2,2,4] => [4,2,2,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,2,4,2] => [2,4,2,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,4,2,2] => [2,2,4,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,2,1,2,4] => [4,2,1,2,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,2,1,4,2] => [2,4,1,2,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,2,2,1,4] => [4,1,2,2,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,2,2,4,1] => [1,4,2,2,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,2,4,1,2] => [2,1,4,2,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,2,4,2,1] => [1,2,4,2,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,4,1,2,2] => [2,2,1,4,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,4,2,1,2] => [2,1,2,4,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,4,2,2,1] => [1,2,2,4,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,2,1,1,2,4] => [4,2,1,1,2,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,2,1,1,4,2] => [2,4,1,1,2,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,2,1,2,1,4] => [4,1,2,1,2,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,2,1,2,4,1] => [1,4,2,1,2,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,2,1,4,1,2] => [2,1,4,1,2,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,2,1,4,2,1] => [1,2,4,1,2,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,2,2,1,1,4] => [4,1,1,2,2,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,2,2,1,4,1] => [1,4,1,2,2,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,2,2,4,1,1] => [1,1,4,2,2,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,2,4,1,1,2] => [2,1,1,4,2,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,2,4,1,2,1] => [1,2,1,4,2,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,2,4,2,1,1] => [1,1,2,4,2,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,4,1,1,2,2] => [2,2,1,1,4,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,4,1,2,1,2] => [2,1,2,1,4,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,4,1,2,2,1] => [1,2,2,1,4,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,4,2,1,1,2] => [2,1,1,2,4,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,4,2,1,2,1] => [1,2,1,2,4,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,4,2,2,1,1] => [1,1,2,2,4,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[2,1,1,1,2,4] => [4,2,1,1,1,2] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[2,1,1,1,4,2] => [2,4,1,1,1,2] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[2,1,1,2,1,4] => [4,1,2,1,1,2] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[2,1,1,2,4,1] => [1,4,2,1,1,2] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[2,1,1,4,1,2] => [2,1,4,1,1,2] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[2,1,1,4,2,1] => [1,2,4,1,1,2] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[2,1,2,1,1,4] => [4,1,1,2,1,2] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[2,1,2,1,4,1] => [1,4,1,2,1,2] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[2,1,2,4,1,1] => [1,1,4,2,1,2] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[2,1,4,1,1,2] => [2,1,1,4,1,2] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[2,1,4,1,2,1] => [1,2,1,4,1,2] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[2,1,4,2,1,1] => [1,1,2,4,1,2] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[2,2,1,1,1,4] => [4,1,1,1,2,2] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[2,2,1,1,4,1] => [1,4,1,1,2,2] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[2,2,1,4,1,1] => [1,1,4,1,2,2] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[2,2,4,1,1,1] => [1,1,1,4,2,2] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[2,4,1,1,1,2] => [2,1,1,1,4,2] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[2,4,1,1,2,1] => [1,2,1,1,4,2] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[2,4,1,2,1,1] => [1,1,2,1,4,2] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[2,4,2,1,1,1] => [1,1,1,2,4,2] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[4,1,1,1,2,2] => [2,2,1,1,1,4] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[4,1,1,2,1,2] => [2,1,2,1,1,4] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[4,1,1,2,2,1] => [1,2,2,1,1,4] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[4,1,2,1,1,2] => [2,1,1,2,1,4] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[4,1,2,1,2,1] => [1,2,1,2,1,4] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[4,1,2,2,1,1] => [1,1,2,2,1,4] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[4,2,1,1,1,2] => [2,1,1,1,2,4] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[4,2,1,1,2,1] => [1,2,1,1,2,4] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[4,2,1,2,1,1] => [1,1,2,1,2,4] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[4,2,2,1,1,1] => [1,1,1,2,2,4] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,2,2,5] => [5,2,2,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,2,5,2] => [2,5,2,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,2,2] => [2,2,5,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,2,1,2,5] => [5,2,1,2,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,2,1,5,2] => [2,5,1,2,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,2,2,1,5] => [5,1,2,2,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,2,2,5,1] => [1,5,2,2,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,2,5,1,2] => [2,1,5,2,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,2,5,2,1] => [1,2,5,2,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,5,1,2,2] => [2,2,1,5,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,5,2,1,2] => [2,1,2,5,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,5,2,2,1] => [1,2,2,5,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,2,1,1,2,5] => [5,2,1,1,2,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,2,1,1,5,2] => [2,5,1,1,2,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,2,1,2,1,5] => [5,1,2,1,2,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,2,1,2,5,1] => [1,5,2,1,2,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,2,1,5,1,2] => [2,1,5,1,2,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,2,1,5,2,1] => [1,2,5,1,2,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,2,2,1,1,5] => [5,1,1,2,2,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,2,2,1,5,1] => [1,5,1,2,2,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,2,2,5,1,1] => [1,1,5,2,2,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,2,5,1,1,2] => [2,1,1,5,2,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,2,5,1,2,1] => [1,2,1,5,2,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,2,5,2,1,1] => [1,1,2,5,2,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,5,1,1,2,2] => [2,2,1,1,5,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,5,1,2,1,2] => [2,1,2,1,5,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,5,1,2,2,1] => [1,2,2,1,5,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,5,2,1,1,2] => [2,1,1,2,5,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,5,2,1,2,1] => [1,2,1,2,5,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,5,2,2,1,1] => [1,1,2,2,5,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[2,1,1,1,2,5] => [5,2,1,1,1,2] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[2,1,1,1,5,2] => [2,5,1,1,1,2] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[2,1,1,2,1,5] => [5,1,2,1,1,2] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[2,1,1,2,5,1] => [1,5,2,1,1,2] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[2,1,1,5,1,2] => [2,1,5,1,1,2] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[2,1,1,5,2,1] => [1,2,5,1,1,2] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[2,1,2,1,1,5] => [5,1,1,2,1,2] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[2,1,2,1,5,1] => [1,5,1,2,1,2] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[2,1,2,5,1,1] => [1,1,5,2,1,2] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[2,1,5,1,1,2] => [2,1,1,5,1,2] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[2,1,5,1,2,1] => [1,2,1,5,1,2] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[2,1,5,2,1,1] => [1,1,2,5,1,2] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[2,2,1,1,1,5] => [5,1,1,1,2,2] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[2,2,1,1,5,1] => [1,5,1,1,2,2] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[2,2,1,5,1,1] => [1,1,5,1,2,2] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[2,2,5,1,1,1] => [1,1,1,5,2,2] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[2,5,1,1,1,2] => [2,1,1,1,5,2] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[2,5,1,1,2,1] => [1,2,1,1,5,2] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[2,5,1,2,1,1] => [1,1,2,1,5,2] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[2,5,2,1,1,1] => [1,1,1,2,5,2] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[5,1,1,1,2,2] => [2,2,1,1,1,5] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[5,1,1,2,1,2] => [2,1,2,1,1,5] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[5,1,1,2,2,1] => [1,2,2,1,1,5] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[5,1,2,1,1,2] => [2,1,1,2,1,5] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[5,1,2,1,2,1] => [1,2,1,2,1,5] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[5,1,2,2,1,1] => [1,1,2,2,1,5] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[5,2,1,1,1,2] => [2,1,1,1,2,5] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[5,2,1,1,2,1] => [1,2,1,1,2,5] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[5,2,1,2,1,1] => [1,1,2,1,2,5] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[5,2,2,1,1,1] => [1,1,1,2,2,5] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,2,2,6] => [6,2,2,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,2,6,2] => [2,6,2,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,6,2,2] => [2,2,6,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,2,1,2,6] => [6,2,1,2,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,2,1,6,2] => [2,6,1,2,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,2,2,1,6] => [6,1,2,2,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,2,2,6,1] => [1,6,2,2,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,2,6,1,2] => [2,1,6,2,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,2,6,2,1] => [1,2,6,2,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,6,1,2,2] => [2,2,1,6,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,6,2,1,2] => [2,1,2,6,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,6,2,2,1] => [1,2,2,6,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,2,1,1,2,6] => [6,2,1,1,2,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,2,1,1,6,2] => [2,6,1,1,2,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,2,1,2,1,6] => [6,1,2,1,2,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,2,1,2,6,1] => [1,6,2,1,2,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,2,1,6,1,2] => [2,1,6,1,2,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,2,1,6,2,1] => [1,2,6,1,2,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,2,2,1,1,6] => [6,1,1,2,2,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,2,2,1,6,1] => [1,6,1,2,2,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,2,2,6,1,1] => [1,1,6,2,2,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,2,6,1,1,2] => [2,1,1,6,2,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,2,6,1,2,1] => [1,2,1,6,2,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,2,6,2,1,1] => [1,1,2,6,2,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,6,1,1,2,2] => [2,2,1,1,6,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,6,1,2,1,2] => [2,1,2,1,6,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,6,1,2,2,1] => [1,2,2,1,6,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,6,2,1,1,2] => [2,1,1,2,6,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,6,2,1,2,1] => [1,2,1,2,6,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,6,2,2,1,1] => [1,1,2,2,6,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[2,1,1,1,2,6] => [6,2,1,1,1,2] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[2,1,1,1,6,2] => [2,6,1,1,1,2] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[2,1,1,2,1,6] => [6,1,2,1,1,2] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[2,1,1,2,6,1] => [1,6,2,1,1,2] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[2,1,1,6,1,2] => [2,1,6,1,1,2] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[2,1,1,6,2,1] => [1,2,6,1,1,2] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[2,1,2,1,1,6] => [6,1,1,2,1,2] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[2,1,2,1,6,1] => [1,6,1,2,1,2] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[2,1,2,6,1,1] => [1,1,6,2,1,2] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[2,1,6,1,1,2] => [2,1,1,6,1,2] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[2,1,6,1,2,1] => [1,2,1,6,1,2] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[2,1,6,2,1,1] => [1,1,2,6,1,2] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[2,2,1,1,1,6] => [6,1,1,1,2,2] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[2,2,1,1,6,1] => [1,6,1,1,2,2] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[2,2,1,6,1,1] => [1,1,6,1,2,2] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[2,2,6,1,1,1] => [1,1,1,6,2,2] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[2,6,1,1,1,2] => [2,1,1,1,6,2] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[2,6,1,1,2,1] => [1,2,1,1,6,2] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[2,6,1,2,1,1] => [1,1,2,1,6,2] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[2,6,2,1,1,1] => [1,1,1,2,6,2] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[6,1,1,1,2,2] => [2,2,1,1,1,6] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[6,1,1,2,1,2] => [2,1,2,1,1,6] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[6,1,1,2,2,1] => [1,2,2,1,1,6] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[6,1,2,1,1,2] => [2,1,1,2,1,6] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[6,1,2,1,2,1] => [1,2,1,2,1,6] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[6,1,2,2,1,1] => [1,1,2,2,1,6] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[6,2,1,1,1,2] => [2,1,1,1,2,6] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[6,2,1,1,2,1] => [1,2,1,1,2,6] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[6,2,1,2,1,1] => [1,1,2,1,2,6] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[6,2,2,1,1,1] => [1,1,1,2,2,6] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,2,3,3] => [3,3,2,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,3,2,3] => [3,2,3,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,3,3,2] => [2,3,3,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,2,1,3,3] => [3,3,1,2,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,2,3,1,3] => [3,1,3,2,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,2,3,3,1] => [1,3,3,2,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,3,1,2,3] => [3,2,1,3,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,3,1,3,2] => [2,3,1,3,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,3,2,1,3] => [3,1,2,3,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,3,2,3,1] => [1,3,2,3,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,3,3,1,2] => [2,1,3,3,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,3,3,2,1] => [1,2,3,3,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,2,1,1,3,3] => [3,3,1,1,2,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,2,1,3,1,3] => [3,1,3,1,2,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,2,1,3,3,1] => [1,3,3,1,2,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,2,3,1,1,3] => [3,1,1,3,2,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,2,3,1,3,1] => [1,3,1,3,2,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,2,3,3,1,1] => [1,1,3,3,2,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,3,1,1,2,3] => [3,2,1,1,3,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,3,1,1,3,2] => [2,3,1,1,3,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,3,1,2,1,3] => [3,1,2,1,3,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,3,1,2,3,1] => [1,3,2,1,3,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,3,1,3,1,2] => [2,1,3,1,3,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,3,1,3,2,1] => [1,2,3,1,3,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,3,2,1,1,3] => [3,1,1,2,3,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,3,2,1,3,1] => [1,3,1,2,3,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,3,2,3,1,1] => [1,1,3,2,3,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,3,3,1,1,2] => [2,1,1,3,3,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,3,3,1,2,1] => [1,2,1,3,3,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,3,3,2,1,1] => [1,1,2,3,3,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[2,1,1,1,3,3] => [3,3,1,1,1,2] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[2,1,1,3,1,3] => [3,1,3,1,1,2] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[2,1,1,3,3,1] => [1,3,3,1,1,2] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[2,1,3,1,1,3] => [3,1,1,3,1,2] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[2,1,3,1,3,1] => [1,3,1,3,1,2] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[2,1,3,3,1,1] => [1,1,3,3,1,2] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[2,3,1,1,1,3] => [3,1,1,1,3,2] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[2,3,1,1,3,1] => [1,3,1,1,3,2] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[2,3,1,3,1,1] => [1,1,3,1,3,2] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[2,3,3,1,1,1] => [1,1,1,3,3,2] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[3,1,1,1,2,3] => [3,2,1,1,1,3] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[3,1,1,1,3,2] => [2,3,1,1,1,3] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[3,1,1,2,1,3] => [3,1,2,1,1,3] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[3,1,1,2,3,1] => [1,3,2,1,1,3] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[3,1,1,3,1,2] => [2,1,3,1,1,3] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[3,1,1,3,2,1] => [1,2,3,1,1,3] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[3,1,2,1,1,3] => [3,1,1,2,1,3] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[3,1,2,1,3,1] => [1,3,1,2,1,3] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[3,1,2,3,1,1] => [1,1,3,2,1,3] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[3,1,3,1,1,2] => [2,1,1,3,1,3] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[3,1,3,1,2,1] => [1,2,1,3,1,3] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[3,1,3,2,1,1] => [1,1,2,3,1,3] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[3,2,1,1,1,3] => [3,1,1,1,2,3] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[3,2,1,1,3,1] => [1,3,1,1,2,3] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[3,2,1,3,1,1] => [1,1,3,1,2,3] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[3,2,3,1,1,1] => [1,1,1,3,2,3] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[3,3,1,1,1,2] => [2,1,1,1,3,3] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[3,3,1,1,2,1] => [1,2,1,1,3,3] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[3,3,1,2,1,1] => [1,1,2,1,3,3] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[3,3,2,1,1,1] => [1,1,1,2,3,3] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,2,3,4] => [4,3,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,4,3] => [3,4,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,2,4] => [4,2,3,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,4,2] => [2,4,3,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,2,3] => [3,2,4,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,3,2] => [2,3,4,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,3,4] => [4,3,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,4,3] => [3,4,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,3,1,4] => [4,1,3,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,3,4,1] => [1,4,3,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,4,1,3] => [3,1,4,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,4,3,1] => [1,3,4,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,3,1,2,4] => [4,2,1,3,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,4,2] => [2,4,1,3,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,2,1,4] => [4,1,2,3,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,2,4,1] => [1,4,2,3,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,4,1,2] => [2,1,4,3,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,4,2,1] => [1,2,4,3,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,4,1,2,3] => [3,2,1,4,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,3,2] => [2,3,1,4,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,4,2,1,3] => [3,1,2,4,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,4,2,3,1] => [1,3,2,4,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,4,3,1,2] => [2,1,3,4,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,4,3,2,1] => [1,2,3,4,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,3,4] => [4,3,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,4,3] => [3,4,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,3,1,4] => [4,1,3,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,3,4,1] => [1,4,3,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,4,1,3] => [3,1,4,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,4,3,1] => [1,3,4,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,3,1,1,4] => [4,1,1,3,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,3,1,4,1] => [1,4,1,3,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,3,4,1,1] => [1,1,4,3,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,4,1,1,3] => [3,1,1,4,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,4,1,3,1] => [1,3,1,4,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,4,3,1,1] => [1,1,3,4,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,3,1,1,2,4] => [4,2,1,1,3,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,4,2] => [2,4,1,1,3,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,2,1,4] => [4,1,2,1,3,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,2,4,1] => [1,4,2,1,3,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,4,1,2] => [2,1,4,1,3,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,4,2,1] => [1,2,4,1,3,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,2,1,1,4] => [4,1,1,2,3,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,2,1,4,1] => [1,4,1,2,3,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,2,4,1,1] => [1,1,4,2,3,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,4,1,1,2] => [2,1,1,4,3,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,4,1,2,1] => [1,2,1,4,3,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,4,2,1,1] => [1,1,2,4,3,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,4,1,1,2,3] => [3,2,1,1,4,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,3,2] => [2,3,1,1,4,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,4,1,2,1,3] => [3,1,2,1,4,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,4,1,2,3,1] => [1,3,2,1,4,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,4,1,3,1,2] => [2,1,3,1,4,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,4,1,3,2,1] => [1,2,3,1,4,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,4,2,1,1,3] => [3,1,1,2,4,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,4,2,1,3,1] => [1,3,1,2,4,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,4,2,3,1,1] => [1,1,3,2,4,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,4,3,1,1,2] => [2,1,1,3,4,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,4,3,1,2,1] => [1,2,1,3,4,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,4,3,2,1,1] => [1,1,2,3,4,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,3,4] => [4,3,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,4,3] => [3,4,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,3,1,4] => [4,1,3,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,3,4,1] => [1,4,3,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,4,1,3] => [3,1,4,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,4,3,1] => [1,3,4,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,3,1,1,4] => [4,1,1,3,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,3,1,4,1] => [1,4,1,3,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,3,4,1,1] => [1,1,4,3,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,4,1,1,3] => [3,1,1,4,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,4,1,3,1] => [1,3,1,4,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,4,3,1,1] => [1,1,3,4,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,1,1,1,4] => [4,1,1,1,3,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,3,1,1,4,1] => [1,4,1,1,3,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,3,1,4,1,1] => [1,1,4,1,3,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,3,4,1,1,1] => [1,1,1,4,3,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,4,1,1,1,3] => [3,1,1,1,4,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,4,1,1,3,1] => [1,3,1,1,4,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,4,1,3,1,1] => [1,1,3,1,4,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,4,3,1,1,1] => [1,1,1,3,4,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[3,1,1,1,2,4] => [4,2,1,1,1,3] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,4,2] => [2,4,1,1,1,3] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,2,1,4] => [4,1,2,1,1,3] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,2,4,1] => [1,4,2,1,1,3] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,4,1,2] => [2,1,4,1,1,3] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,4,2,1] => [1,2,4,1,1,3] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,2,1,1,4] => [4,1,1,2,1,3] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,2,1,4,1] => [1,4,1,2,1,3] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,2,4,1,1] => [1,1,4,2,1,3] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,4,1,1,2] => [2,1,1,4,1,3] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,4,1,2,1] => [1,2,1,4,1,3] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,4,2,1,1] => [1,1,2,4,1,3] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,1,1,1,4] => [4,1,1,1,2,3] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,2,1,1,4,1] => [1,4,1,1,2,3] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,2,1,4,1,1] => [1,1,4,1,2,3] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,2,4,1,1,1] => [1,1,1,4,2,3] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,4,1,1,1,2] => [2,1,1,1,4,3] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[3,4,1,1,2,1] => [1,2,1,1,4,3] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,4,1,2,1,1] => [1,1,2,1,4,3] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,4,2,1,1,1] => [1,1,1,2,4,3] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[4,1,1,1,2,3] => [3,2,1,1,1,4] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,3,2] => [2,3,1,1,1,4] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[4,1,1,2,1,3] => [3,1,2,1,1,4] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[4,1,1,2,3,1] => [1,3,2,1,1,4] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[4,1,1,3,1,2] => [2,1,3,1,1,4] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[4,1,1,3,2,1] => [1,2,3,1,1,4] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[4,1,2,1,1,3] => [3,1,1,2,1,4] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[4,1,2,1,3,1] => [1,3,1,2,1,4] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[4,1,2,3,1,1] => [1,1,3,2,1,4] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[4,1,3,1,1,2] => [2,1,1,3,1,4] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[4,1,3,1,2,1] => [1,2,1,3,1,4] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[4,1,3,2,1,1] => [1,1,2,3,1,4] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[4,2,1,1,1,3] => [3,1,1,1,2,4] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[4,2,1,1,3,1] => [1,3,1,1,2,4] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[4,2,1,3,1,1] => [1,1,3,1,2,4] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[4,2,3,1,1,1] => [1,1,1,3,2,4] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[4,3,1,1,1,2] => [2,1,1,1,3,4] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[4,3,1,1,2,1] => [1,2,1,1,3,4] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[4,3,1,2,1,1] => [1,1,2,1,3,4] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[4,3,2,1,1,1] => [1,1,1,2,3,4] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,2,3,5] => [5,3,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,5,3] => [3,5,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,2,5] => [5,2,3,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,5,2] => [2,5,3,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,2,3] => [3,2,5,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,3,2] => [2,3,5,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,3,5] => [5,3,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,5,3] => [3,5,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,3,1,5] => [5,1,3,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,3,5,1] => [1,5,3,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,5,1,3] => [3,1,5,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,5,3,1] => [1,3,5,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,3,1,2,5] => [5,2,1,3,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,5,2] => [2,5,1,3,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,2,1,5] => [5,1,2,3,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,2,5,1] => [1,5,2,3,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,5,1,2] => [2,1,5,3,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,5,2,1] => [1,2,5,3,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,2,3] => [3,2,1,5,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,3,2] => [2,3,1,5,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,2,1,3] => [3,1,2,5,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,2,3,1] => [1,3,2,5,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,5,3,1,2] => [2,1,3,5,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,3,2,1] => [1,2,3,5,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,3,5] => [5,3,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,5,3] => [3,5,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,3,1,5] => [5,1,3,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,3,5,1] => [1,5,3,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,5,1,3] => [3,1,5,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,5,3,1] => [1,3,5,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,3,1,1,5] => [5,1,1,3,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,3,1,5,1] => [1,5,1,3,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,3,5,1,1] => [1,1,5,3,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,5,1,1,3] => [3,1,1,5,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,5,1,3,1] => [1,3,1,5,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,5,3,1,1] => [1,1,3,5,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,3,1,1,2,5] => [5,2,1,1,3,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,5,2] => [2,5,1,1,3,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,2,1,5] => [5,1,2,1,3,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,2,5,1] => [1,5,2,1,3,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,5,1,2] => [2,1,5,1,3,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,5,2,1] => [1,2,5,1,3,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,2,1,1,5] => [5,1,1,2,3,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,2,1,5,1] => [1,5,1,2,3,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,2,5,1,1] => [1,1,5,2,3,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,5,1,1,2] => [2,1,1,5,3,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,5,1,2,1] => [1,2,1,5,3,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,5,2,1,1] => [1,1,2,5,3,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,2,3] => [3,2,1,1,5,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,3,2] => [2,3,1,1,5,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,2,1,3] => [3,1,2,1,5,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,2,3,1] => [1,3,2,1,5,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,1,3,1,2] => [2,1,3,1,5,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,3,2,1] => [1,2,3,1,5,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,2,1,1,3] => [3,1,1,2,5,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,2,1,3,1] => [1,3,1,2,5,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,2,3,1,1] => [1,1,3,2,5,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,5,3,1,1,2] => [2,1,1,3,5,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,3,1,2,1] => [1,2,1,3,5,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,3,2,1,1] => [1,1,2,3,5,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,3,5] => [5,3,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,5,3] => [3,5,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,3,1,5] => [5,1,3,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,3,5,1] => [1,5,3,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,5,1,3] => [3,1,5,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,5,3,1] => [1,3,5,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,3,1,1,5] => [5,1,1,3,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,3,1,5,1] => [1,5,1,3,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,3,5,1,1] => [1,1,5,3,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,5,1,1,3] => [3,1,1,5,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,5,1,3,1] => [1,3,1,5,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,5,3,1,1] => [1,1,3,5,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,1,1,1,5] => [5,1,1,1,3,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,3,1,1,5,1] => [1,5,1,1,3,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,3,1,5,1,1] => [1,1,5,1,3,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,3,5,1,1,1] => [1,1,1,5,3,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,5,1,1,1,3] => [3,1,1,1,5,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,5,1,1,3,1] => [1,3,1,1,5,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,5,1,3,1,1] => [1,1,3,1,5,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,5,3,1,1,1] => [1,1,1,3,5,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[3,1,1,1,2,5] => [5,2,1,1,1,3] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,5,2] => [2,5,1,1,1,3] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,2,1,5] => [5,1,2,1,1,3] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,2,5,1] => [1,5,2,1,1,3] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,5,1,2] => [2,1,5,1,1,3] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,5,2,1] => [1,2,5,1,1,3] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,2,1,1,5] => [5,1,1,2,1,3] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,2,1,5,1] => [1,5,1,2,1,3] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,2,5,1,1] => [1,1,5,2,1,3] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,5,1,1,2] => [2,1,1,5,1,3] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,5,1,2,1] => [1,2,1,5,1,3] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,5,2,1,1] => [1,1,2,5,1,3] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,1,1,1,5] => [5,1,1,1,2,3] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,2,1,1,5,1] => [1,5,1,1,2,3] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,2,1,5,1,1] => [1,1,5,1,2,3] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,2,5,1,1,1] => [1,1,1,5,2,3] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,5,1,1,1,2] => [2,1,1,1,5,3] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[3,5,1,1,2,1] => [1,2,1,1,5,3] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,5,1,2,1,1] => [1,1,2,1,5,3] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,5,2,1,1,1] => [1,1,1,2,5,3] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,2,3] => [3,2,1,1,1,5] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,3,2] => [2,3,1,1,1,5] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,2,1,3] => [3,1,2,1,1,5] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,2,3,1] => [1,3,2,1,1,5] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,1,3,1,2] => [2,1,3,1,1,5] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,3,2,1] => [1,2,3,1,1,5] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,2,1,1,3] => [3,1,1,2,1,5] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,2,1,3,1] => [1,3,1,2,1,5] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,2,3,1,1] => [1,1,3,2,1,5] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[5,1,3,1,1,2] => [2,1,1,3,1,5] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,3,1,2,1] => [1,2,1,3,1,5] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,3,2,1,1] => [1,1,2,3,1,5] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,1,1,1,3] => [3,1,1,1,2,5] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[5,2,1,1,3,1] => [1,3,1,1,2,5] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[5,2,1,3,1,1] => [1,1,3,1,2,5] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[5,2,3,1,1,1] => [1,1,1,3,2,5] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[5,3,1,1,1,2] => [2,1,1,1,3,5] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[5,3,1,1,2,1] => [1,2,1,1,3,5] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[5,3,1,2,1,1] => [1,1,2,1,3,5] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[5,3,2,1,1,1] => [1,1,1,2,3,5] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,2,3,6] => [6,3,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,6,3] => [3,6,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,2,6] => [6,2,3,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,6,2] => [2,6,3,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,2,3] => [3,2,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,3,2] => [2,3,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,3,6] => [6,3,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,6,3] => [3,6,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,3,1,6] => [6,1,3,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,3,6,1] => [1,6,3,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,6,1,3] => [3,1,6,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,6,3,1] => [1,3,6,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,3,1,2,6] => [6,2,1,3,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,6,2] => [2,6,1,3,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,2,1,6] => [6,1,2,3,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,2,6,1] => [1,6,2,3,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,6,1,2] => [2,1,6,3,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,6,2,1] => [1,2,6,3,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,2,3] => [3,2,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,3,2] => [2,3,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,2,1,3] => [3,1,2,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,2,3,1] => [1,3,2,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,3,1,2] => [2,1,3,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,3,2,1] => [1,2,3,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,3,6] => [6,3,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,6,3] => [3,6,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,3,1,6] => [6,1,3,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,3,6,1] => [1,6,3,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,6,1,3] => [3,1,6,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,6,3,1] => [1,3,6,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,3,1,1,6] => [6,1,1,3,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,3,1,6,1] => [1,6,1,3,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,3,6,1,1] => [1,1,6,3,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,6,1,1,3] => [3,1,1,6,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,6,1,3,1] => [1,3,1,6,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,6,3,1,1] => [1,1,3,6,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,3,1,1,2,6] => [6,2,1,1,3,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,6,2] => [2,6,1,1,3,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,2,1,6] => [6,1,2,1,3,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,2,6,1] => [1,6,2,1,3,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,6,1,2] => [2,1,6,1,3,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,6,2,1] => [1,2,6,1,3,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,2,1,1,6] => [6,1,1,2,3,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,2,1,6,1] => [1,6,1,2,3,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,2,6,1,1] => [1,1,6,2,3,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,6,1,1,2] => [2,1,1,6,3,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,6,1,2,1] => [1,2,1,6,3,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,6,2,1,1] => [1,1,2,6,3,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,2,3] => [3,2,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,3,2] => [2,3,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,2,1,3] => [3,1,2,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,2,3,1] => [1,3,2,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,3,1,2] => [2,1,3,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,3,2,1] => [1,2,3,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,2,1,1,3] => [3,1,1,2,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,2,1,3,1] => [1,3,1,2,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,2,3,1,1] => [1,1,3,2,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,3,1,1,2] => [2,1,1,3,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,3,1,2,1] => [1,2,1,3,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,3,2,1,1] => [1,1,2,3,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,3,6] => [6,3,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,6,3] => [3,6,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,3,1,6] => [6,1,3,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,3,6,1] => [1,6,3,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,6,1,3] => [3,1,6,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,6,3,1] => [1,3,6,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,3,1,1,6] => [6,1,1,3,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,3,1,6,1] => [1,6,1,3,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,3,6,1,1] => [1,1,6,3,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,6,1,1,3] => [3,1,1,6,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,6,1,3,1] => [1,3,1,6,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,6,3,1,1] => [1,1,3,6,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,1,1,1,6] => [6,1,1,1,3,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,3,1,1,6,1] => [1,6,1,1,3,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,3,1,6,1,1] => [1,1,6,1,3,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,3,6,1,1,1] => [1,1,1,6,3,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,6,1,1,1,3] => [3,1,1,1,6,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,6,1,1,3,1] => [1,3,1,1,6,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,6,1,3,1,1] => [1,1,3,1,6,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,6,3,1,1,1] => [1,1,1,3,6,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[3,1,1,1,2,6] => [6,2,1,1,1,3] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,6,2] => [2,6,1,1,1,3] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,2,1,6] => [6,1,2,1,1,3] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,2,6,1] => [1,6,2,1,1,3] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,6,1,2] => [2,1,6,1,1,3] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,6,2,1] => [1,2,6,1,1,3] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,2,1,1,6] => [6,1,1,2,1,3] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,2,1,6,1] => [1,6,1,2,1,3] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,2,6,1,1] => [1,1,6,2,1,3] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,6,1,1,2] => [2,1,1,6,1,3] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,6,1,2,1] => [1,2,1,6,1,3] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,6,2,1,1] => [1,1,2,6,1,3] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,1,1,1,6] => [6,1,1,1,2,3] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,2,1,1,6,1] => [1,6,1,1,2,3] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,2,1,6,1,1] => [1,1,6,1,2,3] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,2,6,1,1,1] => [1,1,1,6,2,3] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,6,1,1,1,2] => [2,1,1,1,6,3] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[3,6,1,1,2,1] => [1,2,1,1,6,3] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,6,1,2,1,1] => [1,1,2,1,6,3] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,6,2,1,1,1] => [1,1,1,2,6,3] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,2,3] => [3,2,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,3,2] => [2,3,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,2,1,3] => [3,1,2,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,2,3,1] => [1,3,2,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,3,1,2] => [2,1,3,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,3,2,1] => [1,2,3,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,2,1,1,3] => [3,1,1,2,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,2,1,3,1] => [1,3,1,2,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,2,3,1,1] => [1,1,3,2,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,3,1,1,2] => [2,1,1,3,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,3,1,2,1] => [1,2,1,3,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,3,2,1,1] => [1,1,2,3,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,1,1,1,3] => [3,1,1,1,2,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,2,1,1,3,1] => [1,3,1,1,2,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,2,1,3,1,1] => [1,1,3,1,2,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,2,3,1,1,1] => [1,1,1,3,2,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,3,1,1,1,2] => [2,1,1,1,3,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,3,1,1,2,1] => [1,2,1,1,3,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,3,1,2,1,1] => [1,1,2,1,3,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,3,2,1,1,1] => [1,1,1,2,3,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,2,4,4] => [4,4,2,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,4,2,4] => [4,2,4,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,4,4,2] => [2,4,4,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,2,1,4,4] => [4,4,1,2,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,2,4,1,4] => [4,1,4,2,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,2,4,4,1] => [1,4,4,2,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,4,1,2,4] => [4,2,1,4,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,4,1,4,2] => [2,4,1,4,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,4,2,1,4] => [4,1,2,4,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,4,2,4,1] => [1,4,2,4,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,4,4,1,2] => [2,1,4,4,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,4,4,2,1] => [1,2,4,4,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,2,1,1,4,4] => [4,4,1,1,2,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,2,1,4,1,4] => [4,1,4,1,2,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,2,1,4,4,1] => [1,4,4,1,2,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,2,4,1,1,4] => [4,1,1,4,2,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,2,4,1,4,1] => [1,4,1,4,2,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,2,4,4,1,1] => [1,1,4,4,2,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,4,1,1,2,4] => [4,2,1,1,4,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,4,1,1,4,2] => [2,4,1,1,4,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,4,1,2,1,4] => [4,1,2,1,4,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,4,1,2,4,1] => [1,4,2,1,4,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,4,1,4,1,2] => [2,1,4,1,4,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,4,1,4,2,1] => [1,2,4,1,4,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,4,2,1,1,4] => [4,1,1,2,4,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,4,2,1,4,1] => [1,4,1,2,4,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,4,2,4,1,1] => [1,1,4,2,4,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,4,4,1,1,2] => [2,1,1,4,4,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,4,4,1,2,1] => [1,2,1,4,4,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,4,4,2,1,1] => [1,1,2,4,4,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[2,1,1,1,4,4] => [4,4,1,1,1,2] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[2,1,1,4,1,4] => [4,1,4,1,1,2] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[2,1,1,4,4,1] => [1,4,4,1,1,2] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[2,1,4,1,1,4] => [4,1,1,4,1,2] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[2,1,4,1,4,1] => [1,4,1,4,1,2] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[2,1,4,4,1,1] => [1,1,4,4,1,2] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[2,4,1,1,1,4] => [4,1,1,1,4,2] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[2,4,1,1,4,1] => [1,4,1,1,4,2] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[2,4,1,4,1,1] => [1,1,4,1,4,2] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[2,4,4,1,1,1] => [1,1,1,4,4,2] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[4,1,1,1,2,4] => [4,2,1,1,1,4] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[4,1,1,1,4,2] => [2,4,1,1,1,4] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[4,1,1,2,1,4] => [4,1,2,1,1,4] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[4,1,1,2,4,1] => [1,4,2,1,1,4] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[4,1,1,4,1,2] => [2,1,4,1,1,4] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[4,1,1,4,2,1] => [1,2,4,1,1,4] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[4,1,2,1,1,4] => [4,1,1,2,1,4] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[4,1,2,1,4,1] => [1,4,1,2,1,4] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[4,1,2,4,1,1] => [1,1,4,2,1,4] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[4,1,4,1,1,2] => [2,1,1,4,1,4] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[4,1,4,1,2,1] => [1,2,1,4,1,4] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[4,1,4,2,1,1] => [1,1,2,4,1,4] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[4,2,1,1,1,4] => [4,1,1,1,2,4] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[4,2,1,1,4,1] => [1,4,1,1,2,4] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[4,2,1,4,1,1] => [1,1,4,1,2,4] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[4,2,4,1,1,1] => [1,1,1,4,2,4] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[4,4,1,1,1,2] => [2,1,1,1,4,4] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[4,4,1,1,2,1] => [1,2,1,1,4,4] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[4,4,1,2,1,1] => [1,1,2,1,4,4] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[4,4,2,1,1,1] => [1,1,1,2,4,4] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,2,4,5] => [5,4,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,5,4] => [4,5,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,2,5] => [5,2,4,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,5,2] => [2,5,4,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,2,4] => [4,2,5,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,4,2] => [2,4,5,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,4,5] => [5,4,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,5,4] => [4,5,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,4,1,5] => [5,1,4,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,4,5,1] => [1,5,4,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,5,1,4] => [4,1,5,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,5,4,1] => [1,4,5,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,4,1,2,5] => [5,2,1,4,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,5,2] => [2,5,1,4,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,4,2,1,5] => [5,1,2,4,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,4,2,5,1] => [1,5,2,4,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,4,5,1,2] => [2,1,5,4,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,4,5,2,1] => [1,2,5,4,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,2,4] => [4,2,1,5,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,4,2] => [2,4,1,5,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,2,1,4] => [4,1,2,5,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,2,4,1] => [1,4,2,5,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,5,4,1,2] => [2,1,4,5,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,4,2,1] => [1,2,4,5,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,4,5] => [5,4,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,5,4] => [4,5,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,4,1,5] => [5,1,4,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,4,5,1] => [1,5,4,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,5,1,4] => [4,1,5,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,5,4,1] => [1,4,5,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,4,1,1,5] => [5,1,1,4,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,4,1,5,1] => [1,5,1,4,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,4,5,1,1] => [1,1,5,4,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,5,1,1,4] => [4,1,1,5,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,5,1,4,1] => [1,4,1,5,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,5,4,1,1] => [1,1,4,5,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,4,1,1,2,5] => [5,2,1,1,4,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,5,2] => [2,5,1,1,4,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,4,1,2,1,5] => [5,1,2,1,4,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,4,1,2,5,1] => [1,5,2,1,4,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,4,1,5,1,2] => [2,1,5,1,4,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,4,1,5,2,1] => [1,2,5,1,4,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,4,2,1,1,5] => [5,1,1,2,4,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,4,2,1,5,1] => [1,5,1,2,4,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,4,2,5,1,1] => [1,1,5,2,4,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,4,5,1,1,2] => [2,1,1,5,4,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,4,5,1,2,1] => [1,2,1,5,4,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,4,5,2,1,1] => [1,1,2,5,4,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,2,4] => [4,2,1,1,5,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,4,2] => [2,4,1,1,5,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,2,1,4] => [4,1,2,1,5,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,2,4,1] => [1,4,2,1,5,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,1,4,1,2] => [2,1,4,1,5,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,4,2,1] => [1,2,4,1,5,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,2,1,1,4] => [4,1,1,2,5,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,2,1,4,1] => [1,4,1,2,5,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,2,4,1,1] => [1,1,4,2,5,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,5,4,1,1,2] => [2,1,1,4,5,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,4,1,2,1] => [1,2,1,4,5,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,4,2,1,1] => [1,1,2,4,5,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,4,5] => [5,4,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,5,4] => [4,5,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,4,1,5] => [5,1,4,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,4,5,1] => [1,5,4,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,5,1,4] => [4,1,5,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,5,4,1] => [1,4,5,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,4,1,1,5] => [5,1,1,4,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,4,1,5,1] => [1,5,1,4,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,4,5,1,1] => [1,1,5,4,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,5,1,1,4] => [4,1,1,5,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,5,1,4,1] => [1,4,1,5,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,5,4,1,1] => [1,1,4,5,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,4,1,1,1,5] => [5,1,1,1,4,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,4,1,1,5,1] => [1,5,1,1,4,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,4,1,5,1,1] => [1,1,5,1,4,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,4,5,1,1,1] => [1,1,1,5,4,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,5,1,1,1,4] => [4,1,1,1,5,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,5,1,1,4,1] => [1,4,1,1,5,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,5,1,4,1,1] => [1,1,4,1,5,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,5,4,1,1,1] => [1,1,1,4,5,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[4,1,1,1,2,5] => [5,2,1,1,1,4] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,5,2] => [2,5,1,1,1,4] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,1,1,2,1,5] => [5,1,2,1,1,4] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,1,1,2,5,1] => [1,5,2,1,1,4] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,1,1,5,1,2] => [2,1,5,1,1,4] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,1,1,5,2,1] => [1,2,5,1,1,4] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,1,2,1,1,5] => [5,1,1,2,1,4] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,1,2,1,5,1] => [1,5,1,2,1,4] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,1,2,5,1,1] => [1,1,5,2,1,4] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,1,5,1,1,2] => [2,1,1,5,1,4] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,1,5,1,2,1] => [1,2,1,5,1,4] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,1,5,2,1,1] => [1,1,2,5,1,4] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,2,1,1,1,5] => [5,1,1,1,2,4] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,2,1,1,5,1] => [1,5,1,1,2,4] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,2,1,5,1,1] => [1,1,5,1,2,4] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,2,5,1,1,1] => [1,1,1,5,2,4] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,5,1,1,1,2] => [2,1,1,1,5,4] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[4,5,1,1,2,1] => [1,2,1,1,5,4] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,5,1,2,1,1] => [1,1,2,1,5,4] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,5,2,1,1,1] => [1,1,1,2,5,4] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,2,4] => [4,2,1,1,1,5] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,4,2] => [2,4,1,1,1,5] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,2,1,4] => [4,1,2,1,1,5] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,2,4,1] => [1,4,2,1,1,5] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,1,4,1,2] => [2,1,4,1,1,5] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,4,2,1] => [1,2,4,1,1,5] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,2,1,1,4] => [4,1,1,2,1,5] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,2,1,4,1] => [1,4,1,2,1,5] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,2,4,1,1] => [1,1,4,2,1,5] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[5,1,4,1,1,2] => [2,1,1,4,1,5] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,4,1,2,1] => [1,2,1,4,1,5] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,4,2,1,1] => [1,1,2,4,1,5] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,1,1,1,4] => [4,1,1,1,2,5] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[5,2,1,1,4,1] => [1,4,1,1,2,5] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[5,2,1,4,1,1] => [1,1,4,1,2,5] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[5,2,4,1,1,1] => [1,1,1,4,2,5] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[5,4,1,1,1,2] => [2,1,1,1,4,5] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[5,4,1,1,2,1] => [1,2,1,1,4,5] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[5,4,1,2,1,1] => [1,1,2,1,4,5] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[5,4,2,1,1,1] => [1,1,1,2,4,5] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,2,4,6] => [6,4,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,6,4] => [4,6,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,2,6] => [6,2,4,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,6,2] => [2,6,4,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,2,4] => [4,2,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,4,2] => [2,4,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,4,6] => [6,4,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,6,4] => [4,6,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,4,1,6] => [6,1,4,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,4,6,1] => [1,6,4,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,6,1,4] => [4,1,6,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,6,4,1] => [1,4,6,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,4,1,2,6] => [6,2,1,4,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,6,2] => [2,6,1,4,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,4,2,1,6] => [6,1,2,4,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,4,2,6,1] => [1,6,2,4,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,4,6,1,2] => [2,1,6,4,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,4,6,2,1] => [1,2,6,4,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,2,4] => [4,2,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,4,2] => [2,4,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,2,1,4] => [4,1,2,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,2,4,1] => [1,4,2,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,4,1,2] => [2,1,4,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,4,2,1] => [1,2,4,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,4,6] => [6,4,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,6,4] => [4,6,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,4,1,6] => [6,1,4,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,4,6,1] => [1,6,4,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,6,1,4] => [4,1,6,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,6,4,1] => [1,4,6,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,4,1,1,6] => [6,1,1,4,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,4,1,6,1] => [1,6,1,4,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,4,6,1,1] => [1,1,6,4,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,6,1,1,4] => [4,1,1,6,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,6,1,4,1] => [1,4,1,6,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,6,4,1,1] => [1,1,4,6,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,4,1,1,2,6] => [6,2,1,1,4,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,6,2] => [2,6,1,1,4,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,4,1,2,1,6] => [6,1,2,1,4,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,4,1,2,6,1] => [1,6,2,1,4,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,4,1,6,1,2] => [2,1,6,1,4,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,4,1,6,2,1] => [1,2,6,1,4,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,4,2,1,1,6] => [6,1,1,2,4,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,4,2,1,6,1] => [1,6,1,2,4,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,4,2,6,1,1] => [1,1,6,2,4,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,4,6,1,1,2] => [2,1,1,6,4,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,4,6,1,2,1] => [1,2,1,6,4,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,4,6,2,1,1] => [1,1,2,6,4,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,2,4] => [4,2,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,4,2] => [2,4,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,2,1,4] => [4,1,2,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,2,4,1] => [1,4,2,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,4,1,2] => [2,1,4,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,4,2,1] => [1,2,4,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,2,1,1,4] => [4,1,1,2,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,2,1,4,1] => [1,4,1,2,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,2,4,1,1] => [1,1,4,2,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,4,1,1,2] => [2,1,1,4,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,4,1,2,1] => [1,2,1,4,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,4,2,1,1] => [1,1,2,4,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,4,6] => [6,4,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,6,4] => [4,6,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,4,1,6] => [6,1,4,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,4,6,1] => [1,6,4,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,6,1,4] => [4,1,6,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,6,4,1] => [1,4,6,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,4,1,1,6] => [6,1,1,4,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,4,1,6,1] => [1,6,1,4,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,4,6,1,1] => [1,1,6,4,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,6,1,1,4] => [4,1,1,6,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,6,1,4,1] => [1,4,1,6,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,6,4,1,1] => [1,1,4,6,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,4,1,1,1,6] => [6,1,1,1,4,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,4,1,1,6,1] => [1,6,1,1,4,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,4,1,6,1,1] => [1,1,6,1,4,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,4,6,1,1,1] => [1,1,1,6,4,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,6,1,1,1,4] => [4,1,1,1,6,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,6,1,1,4,1] => [1,4,1,1,6,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,6,1,4,1,1] => [1,1,4,1,6,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,6,4,1,1,1] => [1,1,1,4,6,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[4,1,1,1,2,6] => [6,2,1,1,1,4] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,6,2] => [2,6,1,1,1,4] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,1,1,2,1,6] => [6,1,2,1,1,4] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,1,1,2,6,1] => [1,6,2,1,1,4] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,1,1,6,1,2] => [2,1,6,1,1,4] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,1,1,6,2,1] => [1,2,6,1,1,4] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,1,2,1,1,6] => [6,1,1,2,1,4] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,1,2,1,6,1] => [1,6,1,2,1,4] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,1,2,6,1,1] => [1,1,6,2,1,4] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,1,6,1,1,2] => [2,1,1,6,1,4] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,1,6,1,2,1] => [1,2,1,6,1,4] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,1,6,2,1,1] => [1,1,2,6,1,4] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,2,1,1,1,6] => [6,1,1,1,2,4] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,2,1,1,6,1] => [1,6,1,1,2,4] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,2,1,6,1,1] => [1,1,6,1,2,4] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,2,6,1,1,1] => [1,1,1,6,2,4] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,6,1,1,1,2] => [2,1,1,1,6,4] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[4,6,1,1,2,1] => [1,2,1,1,6,4] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,6,1,2,1,1] => [1,1,2,1,6,4] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,6,2,1,1,1] => [1,1,1,2,6,4] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,2,4] => [4,2,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,4,2] => [2,4,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,2,1,4] => [4,1,2,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,2,4,1] => [1,4,2,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,4,1,2] => [2,1,4,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,4,2,1] => [1,2,4,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,2,1,1,4] => [4,1,1,2,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,2,1,4,1] => [1,4,1,2,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,2,4,1,1] => [1,1,4,2,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,4,1,1,2] => [2,1,1,4,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,4,1,2,1] => [1,2,1,4,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,4,2,1,1] => [1,1,2,4,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,1,1,1,4] => [4,1,1,1,2,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,2,1,1,4,1] => [1,4,1,1,2,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,2,1,4,1,1] => [1,1,4,1,2,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,2,4,1,1,1] => [1,1,1,4,2,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,4,1,1,1,2] => [2,1,1,1,4,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,4,1,1,2,1] => [1,2,1,1,4,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,4,1,2,1,1] => [1,1,2,1,4,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,4,2,1,1,1] => [1,1,1,2,4,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,2,5,5] => [5,5,2,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,5,2,5] => [5,2,5,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,5,2] => [2,5,5,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,2,1,5,5] => [5,5,1,2,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,2,5,1,5] => [5,1,5,2,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,2,5,5,1] => [1,5,5,2,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,5,1,2,5] => [5,2,1,5,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,5,1,5,2] => [2,5,1,5,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,5,2,1,5] => [5,1,2,5,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,5,2,5,1] => [1,5,2,5,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,5,5,1,2] => [2,1,5,5,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,5,5,2,1] => [1,2,5,5,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,2,1,1,5,5] => [5,5,1,1,2,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,2,1,5,1,5] => [5,1,5,1,2,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,2,1,5,5,1] => [1,5,5,1,2,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,2,5,1,1,5] => [5,1,1,5,2,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,2,5,1,5,1] => [1,5,1,5,2,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,2,5,5,1,1] => [1,1,5,5,2,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,5,1,1,2,5] => [5,2,1,1,5,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,5,1,1,5,2] => [2,5,1,1,5,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,5,1,2,1,5] => [5,1,2,1,5,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,5,1,2,5,1] => [1,5,2,1,5,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,5,1,5,1,2] => [2,1,5,1,5,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,5,1,5,2,1] => [1,2,5,1,5,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,5,2,1,1,5] => [5,1,1,2,5,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,5,2,1,5,1] => [1,5,1,2,5,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,5,2,5,1,1] => [1,1,5,2,5,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,5,5,1,1,2] => [2,1,1,5,5,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,5,5,1,2,1] => [1,2,1,5,5,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,5,5,2,1,1] => [1,1,2,5,5,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[2,1,1,1,5,5] => [5,5,1,1,1,2] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[2,1,1,5,1,5] => [5,1,5,1,1,2] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[2,1,1,5,5,1] => [1,5,5,1,1,2] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[2,1,5,1,1,5] => [5,1,1,5,1,2] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[2,1,5,1,5,1] => [1,5,1,5,1,2] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[2,1,5,5,1,1] => [1,1,5,5,1,2] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[2,5,1,1,1,5] => [5,1,1,1,5,2] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[2,5,1,1,5,1] => [1,5,1,1,5,2] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[2,5,1,5,1,1] => [1,1,5,1,5,2] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[2,5,5,1,1,1] => [1,1,1,5,5,2] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[5,1,1,1,2,5] => [5,2,1,1,1,5] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[5,1,1,1,5,2] => [2,5,1,1,1,5] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[5,1,1,2,1,5] => [5,1,2,1,1,5] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[5,1,1,2,5,1] => [1,5,2,1,1,5] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[5,1,1,5,1,2] => [2,1,5,1,1,5] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[5,1,1,5,2,1] => [1,2,5,1,1,5] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[5,1,2,1,1,5] => [5,1,1,2,1,5] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[5,1,2,1,5,1] => [1,5,1,2,1,5] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[5,1,2,5,1,1] => [1,1,5,2,1,5] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[5,1,5,1,1,2] => [2,1,1,5,1,5] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[5,1,5,1,2,1] => [1,2,1,5,1,5] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[5,1,5,2,1,1] => [1,1,2,5,1,5] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[5,2,1,1,1,5] => [5,1,1,1,2,5] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[5,2,1,1,5,1] => [1,5,1,1,2,5] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[5,2,1,5,1,1] => [1,1,5,1,2,5] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[5,2,5,1,1,1] => [1,1,1,5,2,5] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[5,5,1,1,1,2] => [2,1,1,1,5,5] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[5,5,1,1,2,1] => [1,2,1,1,5,5] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[5,5,1,2,1,1] => [1,1,2,1,5,5] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[5,5,2,1,1,1] => [1,1,1,2,5,5] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,2,5,6] => [6,5,2,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,2,6,5] => [5,6,2,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,2,6] => [6,2,5,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,6,2] => [2,6,5,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,2,5] => [5,2,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,5,2] => [2,5,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,2,1,5,6] => [6,5,1,2,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,2,1,6,5] => [5,6,1,2,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,2,5,1,6] => [6,1,5,2,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,2,5,6,1] => [1,6,5,2,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,2,6,1,5] => [5,1,6,2,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,2,6,5,1] => [1,5,6,2,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,2,6] => [6,2,1,5,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,6,2] => [2,6,1,5,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,5,2,1,6] => [6,1,2,5,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,5,2,6,1] => [1,6,2,5,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,5,6,1,2] => [2,1,6,5,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,5,6,2,1] => [1,2,6,5,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,2,5] => [5,2,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,5,2] => [2,5,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,2,1,5] => [5,1,2,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,2,5,1] => [1,5,2,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,5,1,2] => [2,1,5,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,5,2,1] => [1,2,5,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,2,1,1,5,6] => [6,5,1,1,2,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,2,1,1,6,5] => [5,6,1,1,2,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,2,1,5,1,6] => [6,1,5,1,2,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,2,1,5,6,1] => [1,6,5,1,2,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,2,1,6,1,5] => [5,1,6,1,2,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,2,1,6,5,1] => [1,5,6,1,2,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,2,5,1,1,6] => [6,1,1,5,2,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,2,5,1,6,1] => [1,6,1,5,2,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,2,5,6,1,1] => [1,1,6,5,2,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,2,6,1,1,5] => [5,1,1,6,2,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,2,6,1,5,1] => [1,5,1,6,2,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,2,6,5,1,1] => [1,1,5,6,2,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,2,6] => [6,2,1,1,5,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,6,2] => [2,6,1,1,5,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,5,1,2,1,6] => [6,1,2,1,5,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,5,1,2,6,1] => [1,6,2,1,5,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,5,1,6,1,2] => [2,1,6,1,5,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,5,1,6,2,1] => [1,2,6,1,5,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,5,2,1,1,6] => [6,1,1,2,5,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,5,2,1,6,1] => [1,6,1,2,5,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,5,2,6,1,1] => [1,1,6,2,5,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,5,6,1,1,2] => [2,1,1,6,5,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,5,6,1,2,1] => [1,2,1,6,5,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,5,6,2,1,1] => [1,1,2,6,5,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,2,5] => [5,2,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,5,2] => [2,5,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,2,1,5] => [5,1,2,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,2,5,1] => [1,5,2,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,5,1,2] => [2,1,5,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,5,2,1] => [1,2,5,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,2,1,1,5] => [5,1,1,2,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,2,1,5,1] => [1,5,1,2,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,2,5,1,1] => [1,1,5,2,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,5,1,1,2] => [2,1,1,5,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,5,1,2,1] => [1,2,1,5,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,5,2,1,1] => [1,1,2,5,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,1,1,1,5,6] => [6,5,1,1,1,2] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[2,1,1,1,6,5] => [5,6,1,1,1,2] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[2,1,1,5,1,6] => [6,1,5,1,1,2] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[2,1,1,5,6,1] => [1,6,5,1,1,2] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[2,1,1,6,1,5] => [5,1,6,1,1,2] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[2,1,1,6,5,1] => [1,5,6,1,1,2] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[2,1,5,1,1,6] => [6,1,1,5,1,2] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[2,1,5,1,6,1] => [1,6,1,5,1,2] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[2,1,5,6,1,1] => [1,1,6,5,1,2] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[2,1,6,1,1,5] => [5,1,1,6,1,2] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[2,1,6,1,5,1] => [1,5,1,6,1,2] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[2,1,6,5,1,1] => [1,1,5,6,1,2] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[2,5,1,1,1,6] => [6,1,1,1,5,2] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[2,5,1,1,6,1] => [1,6,1,1,5,2] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[2,5,1,6,1,1] => [1,1,6,1,5,2] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[2,5,6,1,1,1] => [1,1,1,6,5,2] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[2,6,1,1,1,5] => [5,1,1,1,6,2] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[2,6,1,1,5,1] => [1,5,1,1,6,2] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[2,6,1,5,1,1] => [1,1,5,1,6,2] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[2,6,5,1,1,1] => [1,1,1,5,6,2] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,2,6] => [6,2,1,1,1,5] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,6,2] => [2,6,1,1,1,5] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[5,1,1,2,1,6] => [6,1,2,1,1,5] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[5,1,1,2,6,1] => [1,6,2,1,1,5] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[5,1,1,6,1,2] => [2,1,6,1,1,5] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[5,1,1,6,2,1] => [1,2,6,1,1,5] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[5,1,2,1,1,6] => [6,1,1,2,1,5] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[5,1,2,1,6,1] => [1,6,1,2,1,5] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[5,1,2,6,1,1] => [1,1,6,2,1,5] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[5,1,6,1,1,2] => [2,1,1,6,1,5] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[5,1,6,1,2,1] => [1,2,1,6,1,5] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[5,1,6,2,1,1] => [1,1,2,6,1,5] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[5,2,1,1,1,6] => [6,1,1,1,2,5] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[5,2,1,1,6,1] => [1,6,1,1,2,5] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[5,2,1,6,1,1] => [1,1,6,1,2,5] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[5,2,6,1,1,1] => [1,1,1,6,2,5] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[5,6,1,1,1,2] => [2,1,1,1,6,5] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[5,6,1,1,2,1] => [1,2,1,1,6,5] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[5,6,1,2,1,1] => [1,1,2,1,6,5] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[5,6,2,1,1,1] => [1,1,1,2,6,5] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,2,5] => [5,2,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,5,2] => [2,5,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,2,1,5] => [5,1,2,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,2,5,1] => [1,5,2,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,5,1,2] => [2,1,5,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,5,2,1] => [1,2,5,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,2,1,1,5] => [5,1,1,2,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,2,1,5,1] => [1,5,1,2,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,2,5,1,1] => [1,1,5,2,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,5,1,1,2] => [2,1,1,5,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,5,1,2,1] => [1,2,1,5,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,5,2,1,1] => [1,1,2,5,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,1,1,1,5] => [5,1,1,1,2,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,2,1,1,5,1] => [1,5,1,1,2,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,2,1,5,1,1] => [1,1,5,1,2,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,2,5,1,1,1] => [1,1,1,5,2,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,5,1,1,1,2] => [2,1,1,1,5,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,5,1,1,2,1] => [1,2,1,1,5,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,5,1,2,1,1] => [1,1,2,1,5,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,5,2,1,1,1] => [1,1,1,2,5,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,3,3,3] => [3,3,3,1,1,1] => [{4,5,6},{1,2,3}] => {{1,2,3},{4,5,6}}
[1,1,3,1,3,3] => [3,3,1,3,1,1] => [{3,5,6},{1,2,4}] => {{1,2,4},{3,5,6}}
[1,1,3,3,1,3] => [3,1,3,3,1,1] => [{2,5,6},{1,3,4}] => {{1,3,4},{2,5,6}}
[1,1,3,3,3,1] => [1,3,3,3,1,1] => [{1,5,6},{2,3,4}] => {{1,5,6},{2,3,4}}
[1,3,1,1,3,3] => [3,3,1,1,3,1] => [{3,4,6},{1,2,5}] => {{1,2,5},{3,4,6}}
[1,3,1,3,1,3] => [3,1,3,1,3,1] => [{2,4,6},{1,3,5}] => {{1,3,5},{2,4,6}}
[1,3,1,3,3,1] => [1,3,3,1,3,1] => [{1,4,6},{2,3,5}] => {{1,4,6},{2,3,5}}
[1,3,3,1,1,3] => [3,1,1,3,3,1] => [{2,3,6},{1,4,5}] => {{1,4,5},{2,3,6}}
[1,3,3,1,3,1] => [1,3,1,3,3,1] => [{1,3,6},{2,4,5}] => {{1,3,6},{2,4,5}}
[1,3,3,3,1,1] => [1,1,3,3,3,1] => [{1,2,6},{3,4,5}] => {{1,2,6},{3,4,5}}
[3,1,1,1,3,3] => [3,3,1,1,1,3] => [{3,4,5},{1,2,6}] => {{1,2,6},{3,4,5}}
[3,1,1,3,1,3] => [3,1,3,1,1,3] => [{2,4,5},{1,3,6}] => {{1,3,6},{2,4,5}}
[3,1,1,3,3,1] => [1,3,3,1,1,3] => [{1,4,5},{2,3,6}] => {{1,4,5},{2,3,6}}
[3,1,3,1,1,3] => [3,1,1,3,1,3] => [{2,3,5},{1,4,6}] => {{1,4,6},{2,3,5}}
[3,1,3,1,3,1] => [1,3,1,3,1,3] => [{1,3,5},{2,4,6}] => {{1,3,5},{2,4,6}}
[3,1,3,3,1,1] => [1,1,3,3,1,3] => [{1,2,5},{3,4,6}] => {{1,2,5},{3,4,6}}
[3,3,1,1,1,3] => [3,1,1,1,3,3] => [{2,3,4},{1,5,6}] => {{1,5,6},{2,3,4}}
[3,3,1,1,3,1] => [1,3,1,1,3,3] => [{1,3,4},{2,5,6}] => {{1,3,4},{2,5,6}}
[3,3,1,3,1,1] => [1,1,3,1,3,3] => [{1,2,4},{3,5,6}] => {{1,2,4},{3,5,6}}
[3,3,3,1,1,1] => [1,1,1,3,3,3] => [{1,2,3},{4,5,6}] => {{1,2,3},{4,5,6}}
[1,1,1,3,3,4] => [4,3,3,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,3,4,3] => [3,4,3,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,4,3,3] => [3,3,4,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,3,1,3,4] => [4,3,1,3,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,3,1,4,3] => [3,4,1,3,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,3,3,1,4] => [4,1,3,3,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,3,3,4,1] => [1,4,3,3,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,3,4,1,3] => [3,1,4,3,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,3,4,3,1] => [1,3,4,3,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,4,1,3,3] => [3,3,1,4,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,4,3,1,3] => [3,1,3,4,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,4,3,3,1] => [1,3,3,4,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,3,1,1,3,4] => [4,3,1,1,3,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,3,1,1,4,3] => [3,4,1,1,3,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,3,1,3,1,4] => [4,1,3,1,3,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,3,1,3,4,1] => [1,4,3,1,3,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,3,1,4,1,3] => [3,1,4,1,3,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,3,1,4,3,1] => [1,3,4,1,3,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,3,3,1,1,4] => [4,1,1,3,3,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,3,3,1,4,1] => [1,4,1,3,3,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,3,3,4,1,1] => [1,1,4,3,3,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,3,4,1,1,3] => [3,1,1,4,3,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,3,4,1,3,1] => [1,3,1,4,3,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,3,4,3,1,1] => [1,1,3,4,3,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,4,1,1,3,3] => [3,3,1,1,4,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,4,1,3,1,3] => [3,1,3,1,4,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,4,1,3,3,1] => [1,3,3,1,4,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,4,3,1,1,3] => [3,1,1,3,4,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,4,3,1,3,1] => [1,3,1,3,4,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,4,3,3,1,1] => [1,1,3,3,4,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[3,1,1,1,3,4] => [4,3,1,1,1,3] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[3,1,1,1,4,3] => [3,4,1,1,1,3] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[3,1,1,3,1,4] => [4,1,3,1,1,3] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[3,1,1,3,4,1] => [1,4,3,1,1,3] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[3,1,1,4,1,3] => [3,1,4,1,1,3] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[3,1,1,4,3,1] => [1,3,4,1,1,3] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[3,1,3,1,1,4] => [4,1,1,3,1,3] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[3,1,3,1,4,1] => [1,4,1,3,1,3] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[3,1,3,4,1,1] => [1,1,4,3,1,3] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[3,1,4,1,1,3] => [3,1,1,4,1,3] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[3,1,4,1,3,1] => [1,3,1,4,1,3] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[3,1,4,3,1,1] => [1,1,3,4,1,3] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[3,3,1,1,1,4] => [4,1,1,1,3,3] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[3,3,1,1,4,1] => [1,4,1,1,3,3] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[3,3,1,4,1,1] => [1,1,4,1,3,3] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[3,3,4,1,1,1] => [1,1,1,4,3,3] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[3,4,1,1,1,3] => [3,1,1,1,4,3] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[3,4,1,1,3,1] => [1,3,1,1,4,3] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[3,4,1,3,1,1] => [1,1,3,1,4,3] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[3,4,3,1,1,1] => [1,1,1,3,4,3] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[4,1,1,1,3,3] => [3,3,1,1,1,4] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[4,1,1,3,1,3] => [3,1,3,1,1,4] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[4,1,1,3,3,1] => [1,3,3,1,1,4] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[4,1,3,1,1,3] => [3,1,1,3,1,4] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[4,1,3,1,3,1] => [1,3,1,3,1,4] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[4,1,3,3,1,1] => [1,1,3,3,1,4] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[4,3,1,1,1,3] => [3,1,1,1,3,4] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[4,3,1,1,3,1] => [1,3,1,1,3,4] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[4,3,1,3,1,1] => [1,1,3,1,3,4] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[4,3,3,1,1,1] => [1,1,1,3,3,4] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,3,3,5] => [5,3,3,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,3,5,3] => [3,5,3,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,3,3] => [3,3,5,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,3,1,3,5] => [5,3,1,3,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,3,1,5,3] => [3,5,1,3,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,3,3,1,5] => [5,1,3,3,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,3,3,5,1] => [1,5,3,3,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,3,5,1,3] => [3,1,5,3,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,3,5,3,1] => [1,3,5,3,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,5,1,3,3] => [3,3,1,5,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,5,3,1,3] => [3,1,3,5,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,5,3,3,1] => [1,3,3,5,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,3,1,1,3,5] => [5,3,1,1,3,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,3,1,1,5,3] => [3,5,1,1,3,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,3,1,3,1,5] => [5,1,3,1,3,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,3,1,3,5,1] => [1,5,3,1,3,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,3,1,5,1,3] => [3,1,5,1,3,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,3,1,5,3,1] => [1,3,5,1,3,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,3,3,1,1,5] => [5,1,1,3,3,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,3,3,1,5,1] => [1,5,1,3,3,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,3,3,5,1,1] => [1,1,5,3,3,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,3,5,1,1,3] => [3,1,1,5,3,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,3,5,1,3,1] => [1,3,1,5,3,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,3,5,3,1,1] => [1,1,3,5,3,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,5,1,1,3,3] => [3,3,1,1,5,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,5,1,3,1,3] => [3,1,3,1,5,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,5,1,3,3,1] => [1,3,3,1,5,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,5,3,1,1,3] => [3,1,1,3,5,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,5,3,1,3,1] => [1,3,1,3,5,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,5,3,3,1,1] => [1,1,3,3,5,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[3,1,1,1,3,5] => [5,3,1,1,1,3] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[3,1,1,1,5,3] => [3,5,1,1,1,3] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[3,1,1,3,1,5] => [5,1,3,1,1,3] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[3,1,1,3,5,1] => [1,5,3,1,1,3] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[3,1,1,5,1,3] => [3,1,5,1,1,3] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[3,1,1,5,3,1] => [1,3,5,1,1,3] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[3,1,3,1,1,5] => [5,1,1,3,1,3] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[3,1,3,1,5,1] => [1,5,1,3,1,3] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[3,1,3,5,1,1] => [1,1,5,3,1,3] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[3,1,5,1,1,3] => [3,1,1,5,1,3] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[3,1,5,1,3,1] => [1,3,1,5,1,3] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[3,1,5,3,1,1] => [1,1,3,5,1,3] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[3,3,1,1,1,5] => [5,1,1,1,3,3] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[3,3,1,1,5,1] => [1,5,1,1,3,3] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[3,3,1,5,1,1] => [1,1,5,1,3,3] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[3,3,5,1,1,1] => [1,1,1,5,3,3] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[3,5,1,1,1,3] => [3,1,1,1,5,3] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[3,5,1,1,3,1] => [1,3,1,1,5,3] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[3,5,1,3,1,1] => [1,1,3,1,5,3] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[3,5,3,1,1,1] => [1,1,1,3,5,3] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[5,1,1,1,3,3] => [3,3,1,1,1,5] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[5,1,1,3,1,3] => [3,1,3,1,1,5] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[5,1,1,3,3,1] => [1,3,3,1,1,5] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[5,1,3,1,1,3] => [3,1,1,3,1,5] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[5,1,3,1,3,1] => [1,3,1,3,1,5] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[5,1,3,3,1,1] => [1,1,3,3,1,5] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[5,3,1,1,1,3] => [3,1,1,1,3,5] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[5,3,1,1,3,1] => [1,3,1,1,3,5] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[5,3,1,3,1,1] => [1,1,3,1,3,5] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[5,3,3,1,1,1] => [1,1,1,3,3,5] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,3,3,6] => [6,3,3,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,3,6,3] => [3,6,3,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,6,3,3] => [3,3,6,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,3,1,3,6] => [6,3,1,3,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,3,1,6,3] => [3,6,1,3,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,3,3,1,6] => [6,1,3,3,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,3,3,6,1] => [1,6,3,3,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,3,6,1,3] => [3,1,6,3,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,3,6,3,1] => [1,3,6,3,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,6,1,3,3] => [3,3,1,6,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,6,3,1,3] => [3,1,3,6,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,6,3,3,1] => [1,3,3,6,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,3,1,1,3,6] => [6,3,1,1,3,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,3,1,1,6,3] => [3,6,1,1,3,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,3,1,3,1,6] => [6,1,3,1,3,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,3,1,3,6,1] => [1,6,3,1,3,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,3,1,6,1,3] => [3,1,6,1,3,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,3,1,6,3,1] => [1,3,6,1,3,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,3,3,1,1,6] => [6,1,1,3,3,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,3,3,1,6,1] => [1,6,1,3,3,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,3,3,6,1,1] => [1,1,6,3,3,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,3,6,1,1,3] => [3,1,1,6,3,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,3,6,1,3,1] => [1,3,1,6,3,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,3,6,3,1,1] => [1,1,3,6,3,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,6,1,1,3,3] => [3,3,1,1,6,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,6,1,3,1,3] => [3,1,3,1,6,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,6,1,3,3,1] => [1,3,3,1,6,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,6,3,1,1,3] => [3,1,1,3,6,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,6,3,1,3,1] => [1,3,1,3,6,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,6,3,3,1,1] => [1,1,3,3,6,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[3,1,1,1,3,6] => [6,3,1,1,1,3] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[3,1,1,1,6,3] => [3,6,1,1,1,3] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[3,1,1,3,1,6] => [6,1,3,1,1,3] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[3,1,1,3,6,1] => [1,6,3,1,1,3] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[3,1,1,6,1,3] => [3,1,6,1,1,3] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[3,1,1,6,3,1] => [1,3,6,1,1,3] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[3,1,3,1,1,6] => [6,1,1,3,1,3] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[3,1,3,1,6,1] => [1,6,1,3,1,3] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[3,1,3,6,1,1] => [1,1,6,3,1,3] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[3,1,6,1,1,3] => [3,1,1,6,1,3] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[3,1,6,1,3,1] => [1,3,1,6,1,3] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[3,1,6,3,1,1] => [1,1,3,6,1,3] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[3,3,1,1,1,6] => [6,1,1,1,3,3] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[3,3,1,1,6,1] => [1,6,1,1,3,3] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[3,3,1,6,1,1] => [1,1,6,1,3,3] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[3,3,6,1,1,1] => [1,1,1,6,3,3] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[3,6,1,1,1,3] => [3,1,1,1,6,3] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[3,6,1,1,3,1] => [1,3,1,1,6,3] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[3,6,1,3,1,1] => [1,1,3,1,6,3] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[3,6,3,1,1,1] => [1,1,1,3,6,3] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[6,1,1,1,3,3] => [3,3,1,1,1,6] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[6,1,1,3,1,3] => [3,1,3,1,1,6] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[6,1,1,3,3,1] => [1,3,3,1,1,6] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[6,1,3,1,1,3] => [3,1,1,3,1,6] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[6,1,3,1,3,1] => [1,3,1,3,1,6] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[6,1,3,3,1,1] => [1,1,3,3,1,6] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[6,3,1,1,1,3] => [3,1,1,1,3,6] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[6,3,1,1,3,1] => [1,3,1,1,3,6] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[6,3,1,3,1,1] => [1,1,3,1,3,6] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[6,3,3,1,1,1] => [1,1,1,3,3,6] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,3,4,4] => [4,4,3,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,4,3,4] => [4,3,4,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,4,4,3] => [3,4,4,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,3,1,4,4] => [4,4,1,3,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,3,4,1,4] => [4,1,4,3,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,3,4,4,1] => [1,4,4,3,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,4,1,3,4] => [4,3,1,4,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,4,1,4,3] => [3,4,1,4,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,4,3,1,4] => [4,1,3,4,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,4,3,4,1] => [1,4,3,4,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,4,4,1,3] => [3,1,4,4,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,4,4,3,1] => [1,3,4,4,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,3,1,1,4,4] => [4,4,1,1,3,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,3,1,4,1,4] => [4,1,4,1,3,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,3,1,4,4,1] => [1,4,4,1,3,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,3,4,1,1,4] => [4,1,1,4,3,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,3,4,1,4,1] => [1,4,1,4,3,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,3,4,4,1,1] => [1,1,4,4,3,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,4,1,1,3,4] => [4,3,1,1,4,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,4,1,1,4,3] => [3,4,1,1,4,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,4,1,3,1,4] => [4,1,3,1,4,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,4,1,3,4,1] => [1,4,3,1,4,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,4,1,4,1,3] => [3,1,4,1,4,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,4,1,4,3,1] => [1,3,4,1,4,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,4,3,1,1,4] => [4,1,1,3,4,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,4,3,1,4,1] => [1,4,1,3,4,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,4,3,4,1,1] => [1,1,4,3,4,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,4,4,1,1,3] => [3,1,1,4,4,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,4,4,1,3,1] => [1,3,1,4,4,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,4,4,3,1,1] => [1,1,3,4,4,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[3,1,1,1,4,4] => [4,4,1,1,1,3] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[3,1,1,4,1,4] => [4,1,4,1,1,3] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[3,1,1,4,4,1] => [1,4,4,1,1,3] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[3,1,4,1,1,4] => [4,1,1,4,1,3] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[3,1,4,1,4,1] => [1,4,1,4,1,3] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[3,1,4,4,1,1] => [1,1,4,4,1,3] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[3,4,1,1,1,4] => [4,1,1,1,4,3] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[3,4,1,1,4,1] => [1,4,1,1,4,3] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[3,4,1,4,1,1] => [1,1,4,1,4,3] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[3,4,4,1,1,1] => [1,1,1,4,4,3] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[4,1,1,1,3,4] => [4,3,1,1,1,4] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[4,1,1,1,4,3] => [3,4,1,1,1,4] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[4,1,1,3,1,4] => [4,1,3,1,1,4] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[4,1,1,3,4,1] => [1,4,3,1,1,4] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[4,1,1,4,1,3] => [3,1,4,1,1,4] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[4,1,1,4,3,1] => [1,3,4,1,1,4] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[4,1,3,1,1,4] => [4,1,1,3,1,4] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[4,1,3,1,4,1] => [1,4,1,3,1,4] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[4,1,3,4,1,1] => [1,1,4,3,1,4] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[4,1,4,1,1,3] => [3,1,1,4,1,4] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[4,1,4,1,3,1] => [1,3,1,4,1,4] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[4,1,4,3,1,1] => [1,1,3,4,1,4] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[4,3,1,1,1,4] => [4,1,1,1,3,4] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[4,3,1,1,4,1] => [1,4,1,1,3,4] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[4,3,1,4,1,1] => [1,1,4,1,3,4] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[4,3,4,1,1,1] => [1,1,1,4,3,4] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[4,4,1,1,1,3] => [3,1,1,1,4,4] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[4,4,1,1,3,1] => [1,3,1,1,4,4] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[4,4,1,3,1,1] => [1,1,3,1,4,4] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[4,4,3,1,1,1] => [1,1,1,3,4,4] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,3,4,5] => [5,4,3,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,5,4] => [4,5,3,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,3,5] => [5,3,4,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,5,3] => [3,5,4,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,3,4] => [4,3,5,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,4,3] => [3,4,5,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,3,1,4,5] => [5,4,1,3,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,5,4] => [4,5,1,3,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,4,1,5] => [5,1,4,3,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,4,5,1] => [1,5,4,3,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,5,1,4] => [4,1,5,3,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,5,4,1] => [1,4,5,3,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,4,1,3,5] => [5,3,1,4,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,5,3] => [3,5,1,4,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,4,3,1,5] => [5,1,3,4,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,4,3,5,1] => [1,5,3,4,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,4,5,1,3] => [3,1,5,4,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,4,5,3,1] => [1,3,5,4,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,3,4] => [4,3,1,5,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,4,3] => [3,4,1,5,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,5,3,1,4] => [4,1,3,5,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,3,4,1] => [1,4,3,5,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,5,4,1,3] => [3,1,4,5,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,5,4,3,1] => [1,3,4,5,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,3,1,1,4,5] => [5,4,1,1,3,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,5,4] => [4,5,1,1,3,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,4,1,5] => [5,1,4,1,3,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,4,5,1] => [1,5,4,1,3,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,5,1,4] => [4,1,5,1,3,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,5,4,1] => [1,4,5,1,3,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,4,1,1,5] => [5,1,1,4,3,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,4,1,5,1] => [1,5,1,4,3,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,4,5,1,1] => [1,1,5,4,3,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,5,1,1,4] => [4,1,1,5,3,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,5,1,4,1] => [1,4,1,5,3,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,5,4,1,1] => [1,1,4,5,3,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,4,1,1,3,5] => [5,3,1,1,4,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,5,3] => [3,5,1,1,4,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,4,1,3,1,5] => [5,1,3,1,4,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,4,1,3,5,1] => [1,5,3,1,4,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,4,1,5,1,3] => [3,1,5,1,4,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,4,1,5,3,1] => [1,3,5,1,4,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,4,3,1,1,5] => [5,1,1,3,4,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,4,3,1,5,1] => [1,5,1,3,4,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,4,3,5,1,1] => [1,1,5,3,4,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,4,5,1,1,3] => [3,1,1,5,4,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,4,5,1,3,1] => [1,3,1,5,4,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,4,5,3,1,1] => [1,1,3,5,4,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,3,4] => [4,3,1,1,5,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,4,3] => [3,4,1,1,5,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,5,1,3,1,4] => [4,1,3,1,5,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,3,4,1] => [1,4,3,1,5,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,1,4,1,3] => [3,1,4,1,5,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,5,1,4,3,1] => [1,3,4,1,5,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,5,3,1,1,4] => [4,1,1,3,5,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,3,1,4,1] => [1,4,1,3,5,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,3,4,1,1] => [1,1,4,3,5,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,5,4,1,1,3] => [3,1,1,4,5,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,5,4,1,3,1] => [1,3,1,4,5,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,5,4,3,1,1] => [1,1,3,4,5,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[3,1,1,1,4,5] => [5,4,1,1,1,3] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,5,4] => [4,5,1,1,1,3] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,4,1,5] => [5,1,4,1,1,3] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,4,5,1] => [1,5,4,1,1,3] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,5,1,4] => [4,1,5,1,1,3] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,5,4,1] => [1,4,5,1,1,3] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,4,1,1,5] => [5,1,1,4,1,3] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,4,1,5,1] => [1,5,1,4,1,3] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,4,5,1,1] => [1,1,5,4,1,3] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,5,1,1,4] => [4,1,1,5,1,3] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,5,1,4,1] => [1,4,1,5,1,3] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,5,4,1,1] => [1,1,4,5,1,3] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[3,4,1,1,1,5] => [5,1,1,1,4,3] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[3,4,1,1,5,1] => [1,5,1,1,4,3] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[3,4,1,5,1,1] => [1,1,5,1,4,3] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[3,4,5,1,1,1] => [1,1,1,5,4,3] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[3,5,1,1,1,4] => [4,1,1,1,5,3] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[3,5,1,1,4,1] => [1,4,1,1,5,3] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[3,5,1,4,1,1] => [1,1,4,1,5,3] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[3,5,4,1,1,1] => [1,1,1,4,5,3] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[4,1,1,1,3,5] => [5,3,1,1,1,4] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,5,3] => [3,5,1,1,1,4] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,1,1,3,1,5] => [5,1,3,1,1,4] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,1,1,3,5,1] => [1,5,3,1,1,4] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,1,1,5,1,3] => [3,1,5,1,1,4] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,1,1,5,3,1] => [1,3,5,1,1,4] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,1,3,1,1,5] => [5,1,1,3,1,4] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,1,3,1,5,1] => [1,5,1,3,1,4] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,1,3,5,1,1] => [1,1,5,3,1,4] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,1,5,1,1,3] => [3,1,1,5,1,4] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,1,5,1,3,1] => [1,3,1,5,1,4] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,1,5,3,1,1] => [1,1,3,5,1,4] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,3,1,1,1,5] => [5,1,1,1,3,4] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,3,1,1,5,1] => [1,5,1,1,3,4] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,3,1,5,1,1] => [1,1,5,1,3,4] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,3,5,1,1,1] => [1,1,1,5,3,4] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,5,1,1,1,3] => [3,1,1,1,5,4] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[4,5,1,1,3,1] => [1,3,1,1,5,4] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,5,1,3,1,1] => [1,1,3,1,5,4] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,5,3,1,1,1] => [1,1,1,3,5,4] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,3,4] => [4,3,1,1,1,5] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,4,3] => [3,4,1,1,1,5] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[5,1,1,3,1,4] => [4,1,3,1,1,5] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,3,4,1] => [1,4,3,1,1,5] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,1,4,1,3] => [3,1,4,1,1,5] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[5,1,1,4,3,1] => [1,3,4,1,1,5] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[5,1,3,1,1,4] => [4,1,1,3,1,5] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,3,1,4,1] => [1,4,1,3,1,5] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,3,4,1,1] => [1,1,4,3,1,5] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[5,1,4,1,1,3] => [3,1,1,4,1,5] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[5,1,4,1,3,1] => [1,3,1,4,1,5] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[5,1,4,3,1,1] => [1,1,3,4,1,5] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[5,3,1,1,1,4] => [4,1,1,1,3,5] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[5,3,1,1,4,1] => [1,4,1,1,3,5] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[5,3,1,4,1,1] => [1,1,4,1,3,5] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[5,3,4,1,1,1] => [1,1,1,4,3,5] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[5,4,1,1,1,3] => [3,1,1,1,4,5] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[5,4,1,1,3,1] => [1,3,1,1,4,5] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[5,4,1,3,1,1] => [1,1,3,1,4,5] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[5,4,3,1,1,1] => [1,1,1,3,4,5] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,3,4,6] => [6,4,3,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,6,4] => [4,6,3,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,3,6] => [6,3,4,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,6,3] => [3,6,4,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,3,4] => [4,3,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,4,3] => [3,4,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,3,1,4,6] => [6,4,1,3,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,6,4] => [4,6,1,3,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,4,1,6] => [6,1,4,3,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,4,6,1] => [1,6,4,3,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,6,1,4] => [4,1,6,3,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,6,4,1] => [1,4,6,3,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,4,1,3,6] => [6,3,1,4,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,6,3] => [3,6,1,4,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,4,3,1,6] => [6,1,3,4,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,4,3,6,1] => [1,6,3,4,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,4,6,1,3] => [3,1,6,4,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,4,6,3,1] => [1,3,6,4,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,3,4] => [4,3,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,4,3] => [3,4,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,3,1,4] => [4,1,3,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,3,4,1] => [1,4,3,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,4,1,3] => [3,1,4,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,4,3,1] => [1,3,4,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,3,1,1,4,6] => [6,4,1,1,3,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,6,4] => [4,6,1,1,3,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,4,1,6] => [6,1,4,1,3,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,4,6,1] => [1,6,4,1,3,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,6,1,4] => [4,1,6,1,3,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,6,4,1] => [1,4,6,1,3,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,4,1,1,6] => [6,1,1,4,3,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,4,1,6,1] => [1,6,1,4,3,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,4,6,1,1] => [1,1,6,4,3,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,6,1,1,4] => [4,1,1,6,3,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,6,1,4,1] => [1,4,1,6,3,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,6,4,1,1] => [1,1,4,6,3,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,4,1,1,3,6] => [6,3,1,1,4,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,6,3] => [3,6,1,1,4,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,4,1,3,1,6] => [6,1,3,1,4,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,4,1,3,6,1] => [1,6,3,1,4,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,4,1,6,1,3] => [3,1,6,1,4,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,4,1,6,3,1] => [1,3,6,1,4,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,4,3,1,1,6] => [6,1,1,3,4,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,4,3,1,6,1] => [1,6,1,3,4,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,4,3,6,1,1] => [1,1,6,3,4,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,4,6,1,1,3] => [3,1,1,6,4,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,4,6,1,3,1] => [1,3,1,6,4,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,4,6,3,1,1] => [1,1,3,6,4,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,3,4] => [4,3,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,4,3] => [3,4,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,3,1,4] => [4,1,3,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,3,4,1] => [1,4,3,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,4,1,3] => [3,1,4,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,4,3,1] => [1,3,4,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,3,1,1,4] => [4,1,1,3,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,3,1,4,1] => [1,4,1,3,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,3,4,1,1] => [1,1,4,3,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,4,1,1,3] => [3,1,1,4,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,4,1,3,1] => [1,3,1,4,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,4,3,1,1] => [1,1,3,4,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[3,1,1,1,4,6] => [6,4,1,1,1,3] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,6,4] => [4,6,1,1,1,3] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,4,1,6] => [6,1,4,1,1,3] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,4,6,1] => [1,6,4,1,1,3] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,6,1,4] => [4,1,6,1,1,3] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,6,4,1] => [1,4,6,1,1,3] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,4,1,1,6] => [6,1,1,4,1,3] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,4,1,6,1] => [1,6,1,4,1,3] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,4,6,1,1] => [1,1,6,4,1,3] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,6,1,1,4] => [4,1,1,6,1,3] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,6,1,4,1] => [1,4,1,6,1,3] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,6,4,1,1] => [1,1,4,6,1,3] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[3,4,1,1,1,6] => [6,1,1,1,4,3] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[3,4,1,1,6,1] => [1,6,1,1,4,3] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[3,4,1,6,1,1] => [1,1,6,1,4,3] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[3,4,6,1,1,1] => [1,1,1,6,4,3] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[3,6,1,1,1,4] => [4,1,1,1,6,3] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[3,6,1,1,4,1] => [1,4,1,1,6,3] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[3,6,1,4,1,1] => [1,1,4,1,6,3] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[3,6,4,1,1,1] => [1,1,1,4,6,3] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[4,1,1,1,3,6] => [6,3,1,1,1,4] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,6,3] => [3,6,1,1,1,4] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,1,1,3,1,6] => [6,1,3,1,1,4] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,1,1,3,6,1] => [1,6,3,1,1,4] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,1,1,6,1,3] => [3,1,6,1,1,4] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,1,1,6,3,1] => [1,3,6,1,1,4] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,1,3,1,1,6] => [6,1,1,3,1,4] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,1,3,1,6,1] => [1,6,1,3,1,4] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,1,3,6,1,1] => [1,1,6,3,1,4] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,1,6,1,1,3] => [3,1,1,6,1,4] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,1,6,1,3,1] => [1,3,1,6,1,4] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,1,6,3,1,1] => [1,1,3,6,1,4] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,3,1,1,1,6] => [6,1,1,1,3,4] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,3,1,1,6,1] => [1,6,1,1,3,4] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,3,1,6,1,1] => [1,1,6,1,3,4] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,3,6,1,1,1] => [1,1,1,6,3,4] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,6,1,1,1,3] => [3,1,1,1,6,4] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[4,6,1,1,3,1] => [1,3,1,1,6,4] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,6,1,3,1,1] => [1,1,3,1,6,4] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,6,3,1,1,1] => [1,1,1,3,6,4] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,3,4] => [4,3,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,4,3] => [3,4,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,3,1,4] => [4,1,3,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,3,4,1] => [1,4,3,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,4,1,3] => [3,1,4,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,4,3,1] => [1,3,4,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,3,1,1,4] => [4,1,1,3,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,3,1,4,1] => [1,4,1,3,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,3,4,1,1] => [1,1,4,3,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,4,1,1,3] => [3,1,1,4,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,4,1,3,1] => [1,3,1,4,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,4,3,1,1] => [1,1,3,4,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,3,1,1,1,4] => [4,1,1,1,3,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,3,1,1,4,1] => [1,4,1,1,3,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,3,1,4,1,1] => [1,1,4,1,3,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,3,4,1,1,1] => [1,1,1,4,3,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,4,1,1,1,3] => [3,1,1,1,4,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,4,1,1,3,1] => [1,3,1,1,4,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,4,1,3,1,1] => [1,1,3,1,4,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,4,3,1,1,1] => [1,1,1,3,4,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,3,5,5] => [5,5,3,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,5,3,5] => [5,3,5,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,5,3] => [3,5,5,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,3,1,5,5] => [5,5,1,3,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,3,5,1,5] => [5,1,5,3,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,3,5,5,1] => [1,5,5,3,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,5,1,3,5] => [5,3,1,5,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,5,1,5,3] => [3,5,1,5,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,5,3,1,5] => [5,1,3,5,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,5,3,5,1] => [1,5,3,5,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,5,5,1,3] => [3,1,5,5,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,5,5,3,1] => [1,3,5,5,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,3,1,1,5,5] => [5,5,1,1,3,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,3,1,5,1,5] => [5,1,5,1,3,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,3,1,5,5,1] => [1,5,5,1,3,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,3,5,1,1,5] => [5,1,1,5,3,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,3,5,1,5,1] => [1,5,1,5,3,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,3,5,5,1,1] => [1,1,5,5,3,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,5,1,1,3,5] => [5,3,1,1,5,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,5,1,1,5,3] => [3,5,1,1,5,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,5,1,3,1,5] => [5,1,3,1,5,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,5,1,3,5,1] => [1,5,3,1,5,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,5,1,5,1,3] => [3,1,5,1,5,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,5,1,5,3,1] => [1,3,5,1,5,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,5,3,1,1,5] => [5,1,1,3,5,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,5,3,1,5,1] => [1,5,1,3,5,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,5,3,5,1,1] => [1,1,5,3,5,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,5,5,1,1,3] => [3,1,1,5,5,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,5,5,1,3,1] => [1,3,1,5,5,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,5,5,3,1,1] => [1,1,3,5,5,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[3,1,1,1,5,5] => [5,5,1,1,1,3] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[3,1,1,5,1,5] => [5,1,5,1,1,3] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[3,1,1,5,5,1] => [1,5,5,1,1,3] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[3,1,5,1,1,5] => [5,1,1,5,1,3] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[3,1,5,1,5,1] => [1,5,1,5,1,3] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[3,1,5,5,1,1] => [1,1,5,5,1,3] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[3,5,1,1,1,5] => [5,1,1,1,5,3] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[3,5,1,1,5,1] => [1,5,1,1,5,3] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[3,5,1,5,1,1] => [1,1,5,1,5,3] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[3,5,5,1,1,1] => [1,1,1,5,5,3] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[5,1,1,1,3,5] => [5,3,1,1,1,5] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[5,1,1,1,5,3] => [3,5,1,1,1,5] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[5,1,1,3,1,5] => [5,1,3,1,1,5] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[5,1,1,3,5,1] => [1,5,3,1,1,5] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[5,1,1,5,1,3] => [3,1,5,1,1,5] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[5,1,1,5,3,1] => [1,3,5,1,1,5] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[5,1,3,1,1,5] => [5,1,1,3,1,5] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[5,1,3,1,5,1] => [1,5,1,3,1,5] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[5,1,3,5,1,1] => [1,1,5,3,1,5] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[5,1,5,1,1,3] => [3,1,1,5,1,5] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[5,1,5,1,3,1] => [1,3,1,5,1,5] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[5,1,5,3,1,1] => [1,1,3,5,1,5] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[5,3,1,1,1,5] => [5,1,1,1,3,5] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[5,3,1,1,5,1] => [1,5,1,1,3,5] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[5,3,1,5,1,1] => [1,1,5,1,3,5] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[5,3,5,1,1,1] => [1,1,1,5,3,5] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[5,5,1,1,1,3] => [3,1,1,1,5,5] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[5,5,1,1,3,1] => [1,3,1,1,5,5] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[5,5,1,3,1,1] => [1,1,3,1,5,5] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[5,5,3,1,1,1] => [1,1,1,3,5,5] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,3,5,6] => [6,5,3,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,3,6,5] => [5,6,3,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,3,6] => [6,3,5,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,6,3] => [3,6,5,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,3,5] => [5,3,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,5,3] => [3,5,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,3,1,5,6] => [6,5,1,3,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,3,1,6,5] => [5,6,1,3,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,3,5,1,6] => [6,1,5,3,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,3,5,6,1] => [1,6,5,3,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,3,6,1,5] => [5,1,6,3,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,3,6,5,1] => [1,5,6,3,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,3,6] => [6,3,1,5,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,6,3] => [3,6,1,5,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,5,3,1,6] => [6,1,3,5,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,5,3,6,1] => [1,6,3,5,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,5,6,1,3] => [3,1,6,5,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,5,6,3,1] => [1,3,6,5,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,3,5] => [5,3,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,5,3] => [3,5,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,3,1,5] => [5,1,3,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,3,5,1] => [1,5,3,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,5,1,3] => [3,1,5,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,5,3,1] => [1,3,5,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,3,1,1,5,6] => [6,5,1,1,3,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,3,1,1,6,5] => [5,6,1,1,3,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,3,1,5,1,6] => [6,1,5,1,3,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,3,1,5,6,1] => [1,6,5,1,3,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,3,1,6,1,5] => [5,1,6,1,3,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,3,1,6,5,1] => [1,5,6,1,3,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,3,5,1,1,6] => [6,1,1,5,3,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,3,5,1,6,1] => [1,6,1,5,3,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,3,5,6,1,1] => [1,1,6,5,3,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,3,6,1,1,5] => [5,1,1,6,3,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,3,6,1,5,1] => [1,5,1,6,3,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,3,6,5,1,1] => [1,1,5,6,3,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,3,6] => [6,3,1,1,5,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,6,3] => [3,6,1,1,5,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,5,1,3,1,6] => [6,1,3,1,5,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,5,1,3,6,1] => [1,6,3,1,5,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,5,1,6,1,3] => [3,1,6,1,5,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,5,1,6,3,1] => [1,3,6,1,5,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,5,3,1,1,6] => [6,1,1,3,5,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,5,3,1,6,1] => [1,6,1,3,5,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,5,3,6,1,1] => [1,1,6,3,5,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,5,6,1,1,3] => [3,1,1,6,5,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,5,6,1,3,1] => [1,3,1,6,5,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,5,6,3,1,1] => [1,1,3,6,5,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,3,5] => [5,3,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,5,3] => [3,5,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,3,1,5] => [5,1,3,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,3,5,1] => [1,5,3,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,5,1,3] => [3,1,5,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,5,3,1] => [1,3,5,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,3,1,1,5] => [5,1,1,3,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,3,1,5,1] => [1,5,1,3,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,3,5,1,1] => [1,1,5,3,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,5,1,1,3] => [3,1,1,5,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,5,1,3,1] => [1,3,1,5,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,5,3,1,1] => [1,1,3,5,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[3,1,1,1,5,6] => [6,5,1,1,1,3] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[3,1,1,1,6,5] => [5,6,1,1,1,3] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[3,1,1,5,1,6] => [6,1,5,1,1,3] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[3,1,1,5,6,1] => [1,6,5,1,1,3] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[3,1,1,6,1,5] => [5,1,6,1,1,3] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[3,1,1,6,5,1] => [1,5,6,1,1,3] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[3,1,5,1,1,6] => [6,1,1,5,1,3] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[3,1,5,1,6,1] => [1,6,1,5,1,3] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[3,1,5,6,1,1] => [1,1,6,5,1,3] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[3,1,6,1,1,5] => [5,1,1,6,1,3] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[3,1,6,1,5,1] => [1,5,1,6,1,3] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[3,1,6,5,1,1] => [1,1,5,6,1,3] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[3,5,1,1,1,6] => [6,1,1,1,5,3] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[3,5,1,1,6,1] => [1,6,1,1,5,3] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[3,5,1,6,1,1] => [1,1,6,1,5,3] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[3,5,6,1,1,1] => [1,1,1,6,5,3] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[3,6,1,1,1,5] => [5,1,1,1,6,3] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[3,6,1,1,5,1] => [1,5,1,1,6,3] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[3,6,1,5,1,1] => [1,1,5,1,6,3] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[3,6,5,1,1,1] => [1,1,1,5,6,3] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,3,6] => [6,3,1,1,1,5] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,6,3] => [3,6,1,1,1,5] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[5,1,1,3,1,6] => [6,1,3,1,1,5] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[5,1,1,3,6,1] => [1,6,3,1,1,5] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[5,1,1,6,1,3] => [3,1,6,1,1,5] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[5,1,1,6,3,1] => [1,3,6,1,1,5] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[5,1,3,1,1,6] => [6,1,1,3,1,5] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[5,1,3,1,6,1] => [1,6,1,3,1,5] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[5,1,3,6,1,1] => [1,1,6,3,1,5] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[5,1,6,1,1,3] => [3,1,1,6,1,5] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[5,1,6,1,3,1] => [1,3,1,6,1,5] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[5,1,6,3,1,1] => [1,1,3,6,1,5] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[5,3,1,1,1,6] => [6,1,1,1,3,5] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[5,3,1,1,6,1] => [1,6,1,1,3,5] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[5,3,1,6,1,1] => [1,1,6,1,3,5] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[5,3,6,1,1,1] => [1,1,1,6,3,5] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[5,6,1,1,1,3] => [3,1,1,1,6,5] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[5,6,1,1,3,1] => [1,3,1,1,6,5] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[5,6,1,3,1,1] => [1,1,3,1,6,5] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[5,6,3,1,1,1] => [1,1,1,3,6,5] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,3,5] => [5,3,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,5,3] => [3,5,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,3,1,5] => [5,1,3,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,3,5,1] => [1,5,3,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,5,1,3] => [3,1,5,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,5,3,1] => [1,3,5,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,3,1,1,5] => [5,1,1,3,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,3,1,5,1] => [1,5,1,3,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,3,5,1,1] => [1,1,5,3,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,5,1,1,3] => [3,1,1,5,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,5,1,3,1] => [1,3,1,5,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,5,3,1,1] => [1,1,3,5,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,3,1,1,1,5] => [5,1,1,1,3,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,3,1,1,5,1] => [1,5,1,1,3,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,3,1,5,1,1] => [1,1,5,1,3,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,3,5,1,1,1] => [1,1,1,5,3,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,5,1,1,1,3] => [3,1,1,1,5,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,5,1,1,3,1] => [1,3,1,1,5,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,5,1,3,1,1] => [1,1,3,1,5,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,5,3,1,1,1] => [1,1,1,3,5,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,1,4,4,4] => [4,4,4,1,1,1] => [{4,5,6},{1,2,3}] => {{1,2,3},{4,5,6}}
[1,1,4,1,4,4] => [4,4,1,4,1,1] => [{3,5,6},{1,2,4}] => {{1,2,4},{3,5,6}}
[1,1,4,4,1,4] => [4,1,4,4,1,1] => [{2,5,6},{1,3,4}] => {{1,3,4},{2,5,6}}
[1,1,4,4,4,1] => [1,4,4,4,1,1] => [{1,5,6},{2,3,4}] => {{1,5,6},{2,3,4}}
[1,4,1,1,4,4] => [4,4,1,1,4,1] => [{3,4,6},{1,2,5}] => {{1,2,5},{3,4,6}}
[1,4,1,4,1,4] => [4,1,4,1,4,1] => [{2,4,6},{1,3,5}] => {{1,3,5},{2,4,6}}
[1,4,1,4,4,1] => [1,4,4,1,4,1] => [{1,4,6},{2,3,5}] => {{1,4,6},{2,3,5}}
[1,4,4,1,1,4] => [4,1,1,4,4,1] => [{2,3,6},{1,4,5}] => {{1,4,5},{2,3,6}}
[1,4,4,1,4,1] => [1,4,1,4,4,1] => [{1,3,6},{2,4,5}] => {{1,3,6},{2,4,5}}
[1,4,4,4,1,1] => [1,1,4,4,4,1] => [{1,2,6},{3,4,5}] => {{1,2,6},{3,4,5}}
[4,1,1,1,4,4] => [4,4,1,1,1,4] => [{3,4,5},{1,2,6}] => {{1,2,6},{3,4,5}}
[4,1,1,4,1,4] => [4,1,4,1,1,4] => [{2,4,5},{1,3,6}] => {{1,3,6},{2,4,5}}
[4,1,1,4,4,1] => [1,4,4,1,1,4] => [{1,4,5},{2,3,6}] => {{1,4,5},{2,3,6}}
[4,1,4,1,1,4] => [4,1,1,4,1,4] => [{2,3,5},{1,4,6}] => {{1,4,6},{2,3,5}}
[4,1,4,1,4,1] => [1,4,1,4,1,4] => [{1,3,5},{2,4,6}] => {{1,3,5},{2,4,6}}
[4,1,4,4,1,1] => [1,1,4,4,1,4] => [{1,2,5},{3,4,6}] => {{1,2,5},{3,4,6}}
[4,4,1,1,1,4] => [4,1,1,1,4,4] => [{2,3,4},{1,5,6}] => {{1,5,6},{2,3,4}}
[4,4,1,1,4,1] => [1,4,1,1,4,4] => [{1,3,4},{2,5,6}] => {{1,3,4},{2,5,6}}
[4,4,1,4,1,1] => [1,1,4,1,4,4] => [{1,2,4},{3,5,6}] => {{1,2,4},{3,5,6}}
[4,4,4,1,1,1] => [1,1,1,4,4,4] => [{1,2,3},{4,5,6}] => {{1,2,3},{4,5,6}}
[1,1,1,4,4,5] => [5,4,4,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,4,5,4] => [4,5,4,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,4,4] => [4,4,5,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,4,1,4,5] => [5,4,1,4,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,4,1,5,4] => [4,5,1,4,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,4,4,1,5] => [5,1,4,4,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,4,4,5,1] => [1,5,4,4,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,4,5,1,4] => [4,1,5,4,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,4,5,4,1] => [1,4,5,4,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,5,1,4,4] => [4,4,1,5,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,5,4,1,4] => [4,1,4,5,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,5,4,4,1] => [1,4,4,5,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,4,1,1,4,5] => [5,4,1,1,4,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,4,1,1,5,4] => [4,5,1,1,4,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,4,1,4,1,5] => [5,1,4,1,4,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,4,1,4,5,1] => [1,5,4,1,4,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,4,1,5,1,4] => [4,1,5,1,4,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,4,1,5,4,1] => [1,4,5,1,4,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,4,4,1,1,5] => [5,1,1,4,4,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,4,4,1,5,1] => [1,5,1,4,4,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,4,4,5,1,1] => [1,1,5,4,4,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,4,5,1,1,4] => [4,1,1,5,4,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,4,5,1,4,1] => [1,4,1,5,4,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,4,5,4,1,1] => [1,1,4,5,4,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,5,1,1,4,4] => [4,4,1,1,5,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,5,1,4,1,4] => [4,1,4,1,5,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,5,1,4,4,1] => [1,4,4,1,5,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,5,4,1,1,4] => [4,1,1,4,5,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,5,4,1,4,1] => [1,4,1,4,5,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,5,4,4,1,1] => [1,1,4,4,5,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[4,1,1,1,4,5] => [5,4,1,1,1,4] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[4,1,1,1,5,4] => [4,5,1,1,1,4] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[4,1,1,4,1,5] => [5,1,4,1,1,4] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[4,1,1,4,5,1] => [1,5,4,1,1,4] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[4,1,1,5,1,4] => [4,1,5,1,1,4] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[4,1,1,5,4,1] => [1,4,5,1,1,4] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[4,1,4,1,1,5] => [5,1,1,4,1,4] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[4,1,4,1,5,1] => [1,5,1,4,1,4] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[4,1,4,5,1,1] => [1,1,5,4,1,4] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[4,1,5,1,1,4] => [4,1,1,5,1,4] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[4,1,5,1,4,1] => [1,4,1,5,1,4] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[4,1,5,4,1,1] => [1,1,4,5,1,4] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[4,4,1,1,1,5] => [5,1,1,1,4,4] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[4,4,1,1,5,1] => [1,5,1,1,4,4] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[4,4,1,5,1,1] => [1,1,5,1,4,4] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[4,4,5,1,1,1] => [1,1,1,5,4,4] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[4,5,1,1,1,4] => [4,1,1,1,5,4] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[4,5,1,1,4,1] => [1,4,1,1,5,4] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[4,5,1,4,1,1] => [1,1,4,1,5,4] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[4,5,4,1,1,1] => [1,1,1,4,5,4] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[5,1,1,1,4,4] => [4,4,1,1,1,5] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[5,1,1,4,1,4] => [4,1,4,1,1,5] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[5,1,1,4,4,1] => [1,4,4,1,1,5] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[5,1,4,1,1,4] => [4,1,1,4,1,5] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[5,1,4,1,4,1] => [1,4,1,4,1,5] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[5,1,4,4,1,1] => [1,1,4,4,1,5] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[5,4,1,1,1,4] => [4,1,1,1,4,5] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[5,4,1,1,4,1] => [1,4,1,1,4,5] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[5,4,1,4,1,1] => [1,1,4,1,4,5] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[5,4,4,1,1,1] => [1,1,1,4,4,5] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,4,4,6] => [6,4,4,1,1,1] => [{4,5,6},{2,3},{1}] => {{1},{2,3},{4,5,6}}
[1,1,1,4,6,4] => [4,6,4,1,1,1] => [{4,5,6},{1,3},{2}] => {{1,3},{2},{4,5,6}}
[1,1,1,6,4,4] => [4,4,6,1,1,1] => [{4,5,6},{1,2},{3}] => {{1,2},{3},{4,5,6}}
[1,1,4,1,4,6] => [6,4,1,4,1,1] => [{3,5,6},{2,4},{1}] => {{1},{2,4},{3,5,6}}
[1,1,4,1,6,4] => [4,6,1,4,1,1] => [{3,5,6},{1,4},{2}] => {{1,4},{2},{3,5,6}}
[1,1,4,4,1,6] => [6,1,4,4,1,1] => [{2,5,6},{3,4},{1}] => {{1},{2,5,6},{3,4}}
[1,1,4,4,6,1] => [1,6,4,4,1,1] => [{1,5,6},{3,4},{2}] => {{1,5,6},{2},{3,4}}
[1,1,4,6,1,4] => [4,1,6,4,1,1] => [{2,5,6},{1,4},{3}] => {{1,4},{2,5,6},{3}}
[1,1,4,6,4,1] => [1,4,6,4,1,1] => [{1,5,6},{2,4},{3}] => {{1,5,6},{2,4},{3}}
[1,1,6,1,4,4] => [4,4,1,6,1,1] => [{3,5,6},{1,2},{4}] => {{1,2},{3,5,6},{4}}
[1,1,6,4,1,4] => [4,1,4,6,1,1] => [{2,5,6},{1,3},{4}] => {{1,3},{2,5,6},{4}}
[1,1,6,4,4,1] => [1,4,4,6,1,1] => [{1,5,6},{2,3},{4}] => {{1,5,6},{2,3},{4}}
[1,4,1,1,4,6] => [6,4,1,1,4,1] => [{3,4,6},{2,5},{1}] => {{1},{2,5},{3,4,6}}
[1,4,1,1,6,4] => [4,6,1,1,4,1] => [{3,4,6},{1,5},{2}] => {{1,5},{2},{3,4,6}}
[1,4,1,4,1,6] => [6,1,4,1,4,1] => [{2,4,6},{3,5},{1}] => {{1},{2,4,6},{3,5}}
[1,4,1,4,6,1] => [1,6,4,1,4,1] => [{1,4,6},{3,5},{2}] => {{1,4,6},{2},{3,5}}
[1,4,1,6,1,4] => [4,1,6,1,4,1] => [{2,4,6},{1,5},{3}] => {{1,5},{2,4,6},{3}}
[1,4,1,6,4,1] => [1,4,6,1,4,1] => [{1,4,6},{2,5},{3}] => {{1,4,6},{2,5},{3}}
[1,4,4,1,1,6] => [6,1,1,4,4,1] => [{2,3,6},{4,5},{1}] => {{1},{2,3,6},{4,5}}
[1,4,4,1,6,1] => [1,6,1,4,4,1] => [{1,3,6},{4,5},{2}] => {{1,3,6},{2},{4,5}}
[1,4,4,6,1,1] => [1,1,6,4,4,1] => [{1,2,6},{4,5},{3}] => {{1,2,6},{3},{4,5}}
[1,4,6,1,1,4] => [4,1,1,6,4,1] => [{2,3,6},{1,5},{4}] => {{1,5},{2,3,6},{4}}
[1,4,6,1,4,1] => [1,4,1,6,4,1] => [{1,3,6},{2,5},{4}] => {{1,3,6},{2,5},{4}}
[1,4,6,4,1,1] => [1,1,4,6,4,1] => [{1,2,6},{3,5},{4}] => {{1,2,6},{3,5},{4}}
[1,6,1,1,4,4] => [4,4,1,1,6,1] => [{3,4,6},{1,2},{5}] => {{1,2},{3,4,6},{5}}
[1,6,1,4,1,4] => [4,1,4,1,6,1] => [{2,4,6},{1,3},{5}] => {{1,3},{2,4,6},{5}}
[1,6,1,4,4,1] => [1,4,4,1,6,1] => [{1,4,6},{2,3},{5}] => {{1,4,6},{2,3},{5}}
[1,6,4,1,1,4] => [4,1,1,4,6,1] => [{2,3,6},{1,4},{5}] => {{1,4},{2,3,6},{5}}
[1,6,4,1,4,1] => [1,4,1,4,6,1] => [{1,3,6},{2,4},{5}] => {{1,3,6},{2,4},{5}}
[1,6,4,4,1,1] => [1,1,4,4,6,1] => [{1,2,6},{3,4},{5}] => {{1,2,6},{3,4},{5}}
[4,1,1,1,4,6] => [6,4,1,1,1,4] => [{3,4,5},{2,6},{1}] => {{1},{2,6},{3,4,5}}
[4,1,1,1,6,4] => [4,6,1,1,1,4] => [{3,4,5},{1,6},{2}] => {{1,6},{2},{3,4,5}}
[4,1,1,4,1,6] => [6,1,4,1,1,4] => [{2,4,5},{3,6},{1}] => {{1},{2,4,5},{3,6}}
[4,1,1,4,6,1] => [1,6,4,1,1,4] => [{1,4,5},{3,6},{2}] => {{1,4,5},{2},{3,6}}
[4,1,1,6,1,4] => [4,1,6,1,1,4] => [{2,4,5},{1,6},{3}] => {{1,6},{2,4,5},{3}}
[4,1,1,6,4,1] => [1,4,6,1,1,4] => [{1,4,5},{2,6},{3}] => {{1,4,5},{2,6},{3}}
[4,1,4,1,1,6] => [6,1,1,4,1,4] => [{2,3,5},{4,6},{1}] => {{1},{2,3,5},{4,6}}
[4,1,4,1,6,1] => [1,6,1,4,1,4] => [{1,3,5},{4,6},{2}] => {{1,3,5},{2},{4,6}}
[4,1,4,6,1,1] => [1,1,6,4,1,4] => [{1,2,5},{4,6},{3}] => {{1,2,5},{3},{4,6}}
[4,1,6,1,1,4] => [4,1,1,6,1,4] => [{2,3,5},{1,6},{4}] => {{1,6},{2,3,5},{4}}
[4,1,6,1,4,1] => [1,4,1,6,1,4] => [{1,3,5},{2,6},{4}] => {{1,3,5},{2,6},{4}}
[4,1,6,4,1,1] => [1,1,4,6,1,4] => [{1,2,5},{3,6},{4}] => {{1,2,5},{3,6},{4}}
[4,4,1,1,1,6] => [6,1,1,1,4,4] => [{2,3,4},{5,6},{1}] => {{1},{2,3,4},{5,6}}
[4,4,1,1,6,1] => [1,6,1,1,4,4] => [{1,3,4},{5,6},{2}] => {{1,3,4},{2},{5,6}}
[4,4,1,6,1,1] => [1,1,6,1,4,4] => [{1,2,4},{5,6},{3}] => {{1,2,4},{3},{5,6}}
[4,4,6,1,1,1] => [1,1,1,6,4,4] => [{1,2,3},{5,6},{4}] => {{1,2,3},{4},{5,6}}
[4,6,1,1,1,4] => [4,1,1,1,6,4] => [{2,3,4},{1,6},{5}] => {{1,6},{2,3,4},{5}}
[4,6,1,1,4,1] => [1,4,1,1,6,4] => [{1,3,4},{2,6},{5}] => {{1,3,4},{2,6},{5}}
[4,6,1,4,1,1] => [1,1,4,1,6,4] => [{1,2,4},{3,6},{5}] => {{1,2,4},{3,6},{5}}
[4,6,4,1,1,1] => [1,1,1,4,6,4] => [{1,2,3},{4,6},{5}] => {{1,2,3},{4,6},{5}}
[6,1,1,1,4,4] => [4,4,1,1,1,6] => [{3,4,5},{1,2},{6}] => {{1,2},{3,4,5},{6}}
[6,1,1,4,1,4] => [4,1,4,1,1,6] => [{2,4,5},{1,3},{6}] => {{1,3},{2,4,5},{6}}
[6,1,1,4,4,1] => [1,4,4,1,1,6] => [{1,4,5},{2,3},{6}] => {{1,4,5},{2,3},{6}}
[6,1,4,1,1,4] => [4,1,1,4,1,6] => [{2,3,5},{1,4},{6}] => {{1,4},{2,3,5},{6}}
[6,1,4,1,4,1] => [1,4,1,4,1,6] => [{1,3,5},{2,4},{6}] => {{1,3,5},{2,4},{6}}
[6,1,4,4,1,1] => [1,1,4,4,1,6] => [{1,2,5},{3,4},{6}] => {{1,2,5},{3,4},{6}}
[6,4,1,1,1,4] => [4,1,1,1,4,6] => [{2,3,4},{1,5},{6}] => {{1,5},{2,3,4},{6}}
[6,4,1,1,4,1] => [1,4,1,1,4,6] => [{1,3,4},{2,5},{6}] => {{1,3,4},{2,5},{6}}
[6,4,1,4,1,1] => [1,1,4,1,4,6] => [{1,2,4},{3,5},{6}] => {{1,2,4},{3,5},{6}}
[6,4,4,1,1,1] => [1,1,1,4,4,6] => [{1,2,3},{4,5},{6}] => {{1,2,3},{4,5},{6}}
[1,1,1,4,5,5] => [5,5,4,1,1,1] => [{4,5,6},{3},{1,2}] => {{1,2},{3},{4,5,6}}
[1,1,1,5,4,5] => [5,4,5,1,1,1] => [{4,5,6},{2},{1,3}] => {{1,3},{2},{4,5,6}}
[1,1,1,5,5,4] => [4,5,5,1,1,1] => [{4,5,6},{1},{2,3}] => {{1},{2,3},{4,5,6}}
[1,1,4,1,5,5] => [5,5,1,4,1,1] => [{3,5,6},{4},{1,2}] => {{1,2},{3,5,6},{4}}
[1,1,4,5,1,5] => [5,1,5,4,1,1] => [{2,5,6},{4},{1,3}] => {{1,3},{2,5,6},{4}}
[1,1,4,5,5,1] => [1,5,5,4,1,1] => [{1,5,6},{4},{2,3}] => {{1,5,6},{2,3},{4}}
[1,1,5,1,4,5] => [5,4,1,5,1,1] => [{3,5,6},{2},{1,4}] => {{1,4},{2},{3,5,6}}
[1,1,5,1,5,4] => [4,5,1,5,1,1] => [{3,5,6},{1},{2,4}] => {{1},{2,4},{3,5,6}}
[1,1,5,4,1,5] => [5,1,4,5,1,1] => [{2,5,6},{3},{1,4}] => {{1,4},{2,5,6},{3}}
[1,1,5,4,5,1] => [1,5,4,5,1,1] => [{1,5,6},{3},{2,4}] => {{1,5,6},{2,4},{3}}
[1,1,5,5,1,4] => [4,1,5,5,1,1] => [{2,5,6},{1},{3,4}] => {{1},{2,5,6},{3,4}}
[1,1,5,5,4,1] => [1,4,5,5,1,1] => [{1,5,6},{2},{3,4}] => {{1,5,6},{2},{3,4}}
[1,4,1,1,5,5] => [5,5,1,1,4,1] => [{3,4,6},{5},{1,2}] => {{1,2},{3,4,6},{5}}
[1,4,1,5,1,5] => [5,1,5,1,4,1] => [{2,4,6},{5},{1,3}] => {{1,3},{2,4,6},{5}}
[1,4,1,5,5,1] => [1,5,5,1,4,1] => [{1,4,6},{5},{2,3}] => {{1,4,6},{2,3},{5}}
[1,4,5,1,1,5] => [5,1,1,5,4,1] => [{2,3,6},{5},{1,4}] => {{1,4},{2,3,6},{5}}
[1,4,5,1,5,1] => [1,5,1,5,4,1] => [{1,3,6},{5},{2,4}] => {{1,3,6},{2,4},{5}}
[1,4,5,5,1,1] => [1,1,5,5,4,1] => [{1,2,6},{5},{3,4}] => {{1,2,6},{3,4},{5}}
[1,5,1,1,4,5] => [5,4,1,1,5,1] => [{3,4,6},{2},{1,5}] => {{1,5},{2},{3,4,6}}
[1,5,1,1,5,4] => [4,5,1,1,5,1] => [{3,4,6},{1},{2,5}] => {{1},{2,5},{3,4,6}}
[1,5,1,4,1,5] => [5,1,4,1,5,1] => [{2,4,6},{3},{1,5}] => {{1,5},{2,4,6},{3}}
[1,5,1,4,5,1] => [1,5,4,1,5,1] => [{1,4,6},{3},{2,5}] => {{1,4,6},{2,5},{3}}
[1,5,1,5,1,4] => [4,1,5,1,5,1] => [{2,4,6},{1},{3,5}] => {{1},{2,4,6},{3,5}}
[1,5,1,5,4,1] => [1,4,5,1,5,1] => [{1,4,6},{2},{3,5}] => {{1,4,6},{2},{3,5}}
[1,5,4,1,1,5] => [5,1,1,4,5,1] => [{2,3,6},{4},{1,5}] => {{1,5},{2,3,6},{4}}
[1,5,4,1,5,1] => [1,5,1,4,5,1] => [{1,3,6},{4},{2,5}] => {{1,3,6},{2,5},{4}}
[1,5,4,5,1,1] => [1,1,5,4,5,1] => [{1,2,6},{4},{3,5}] => {{1,2,6},{3,5},{4}}
[1,5,5,1,1,4] => [4,1,1,5,5,1] => [{2,3,6},{1},{4,5}] => {{1},{2,3,6},{4,5}}
[1,5,5,1,4,1] => [1,4,1,5,5,1] => [{1,3,6},{2},{4,5}] => {{1,3,6},{2},{4,5}}
[1,5,5,4,1,1] => [1,1,4,5,5,1] => [{1,2,6},{3},{4,5}] => {{1,2,6},{3},{4,5}}
[4,1,1,1,5,5] => [5,5,1,1,1,4] => [{3,4,5},{6},{1,2}] => {{1,2},{3,4,5},{6}}
[4,1,1,5,1,5] => [5,1,5,1,1,4] => [{2,4,5},{6},{1,3}] => {{1,3},{2,4,5},{6}}
[4,1,1,5,5,1] => [1,5,5,1,1,4] => [{1,4,5},{6},{2,3}] => {{1,4,5},{2,3},{6}}
[4,1,5,1,1,5] => [5,1,1,5,1,4] => [{2,3,5},{6},{1,4}] => {{1,4},{2,3,5},{6}}
[4,1,5,1,5,1] => [1,5,1,5,1,4] => [{1,3,5},{6},{2,4}] => {{1,3,5},{2,4},{6}}
[4,1,5,5,1,1] => [1,1,5,5,1,4] => [{1,2,5},{6},{3,4}] => {{1,2,5},{3,4},{6}}
[4,5,1,1,1,5] => [5,1,1,1,5,4] => [{2,3,4},{6},{1,5}] => {{1,5},{2,3,4},{6}}
[4,5,1,1,5,1] => [1,5,1,1,5,4] => [{1,3,4},{6},{2,5}] => {{1,3,4},{2,5},{6}}
[4,5,1,5,1,1] => [1,1,5,1,5,4] => [{1,2,4},{6},{3,5}] => {{1,2,4},{3,5},{6}}
[4,5,5,1,1,1] => [1,1,1,5,5,4] => [{1,2,3},{6},{4,5}] => {{1,2,3},{4,5},{6}}
[5,1,1,1,4,5] => [5,4,1,1,1,5] => [{3,4,5},{2},{1,6}] => {{1,6},{2},{3,4,5}}
[5,1,1,1,5,4] => [4,5,1,1,1,5] => [{3,4,5},{1},{2,6}] => {{1},{2,6},{3,4,5}}
[5,1,1,4,1,5] => [5,1,4,1,1,5] => [{2,4,5},{3},{1,6}] => {{1,6},{2,4,5},{3}}
[5,1,1,4,5,1] => [1,5,4,1,1,5] => [{1,4,5},{3},{2,6}] => {{1,4,5},{2,6},{3}}
[5,1,1,5,1,4] => [4,1,5,1,1,5] => [{2,4,5},{1},{3,6}] => {{1},{2,4,5},{3,6}}
[5,1,1,5,4,1] => [1,4,5,1,1,5] => [{1,4,5},{2},{3,6}] => {{1,4,5},{2},{3,6}}
[5,1,4,1,1,5] => [5,1,1,4,1,5] => [{2,3,5},{4},{1,6}] => {{1,6},{2,3,5},{4}}
[5,1,4,1,5,1] => [1,5,1,4,1,5] => [{1,3,5},{4},{2,6}] => {{1,3,5},{2,6},{4}}
[5,1,4,5,1,1] => [1,1,5,4,1,5] => [{1,2,5},{4},{3,6}] => {{1,2,5},{3,6},{4}}
[5,1,5,1,1,4] => [4,1,1,5,1,5] => [{2,3,5},{1},{4,6}] => {{1},{2,3,5},{4,6}}
[5,1,5,1,4,1] => [1,4,1,5,1,5] => [{1,3,5},{2},{4,6}] => {{1,3,5},{2},{4,6}}
[5,1,5,4,1,1] => [1,1,4,5,1,5] => [{1,2,5},{3},{4,6}] => {{1,2,5},{3},{4,6}}
[5,4,1,1,1,5] => [5,1,1,1,4,5] => [{2,3,4},{5},{1,6}] => {{1,6},{2,3,4},{5}}
[5,4,1,1,5,1] => [1,5,1,1,4,5] => [{1,3,4},{5},{2,6}] => {{1,3,4},{2,6},{5}}
[5,4,1,5,1,1] => [1,1,5,1,4,5] => [{1,2,4},{5},{3,6}] => {{1,2,4},{3,6},{5}}
[5,4,5,1,1,1] => [1,1,1,5,4,5] => [{1,2,3},{5},{4,6}] => {{1,2,3},{4,6},{5}}
[5,5,1,1,1,4] => [4,1,1,1,5,5] => [{2,3,4},{1},{5,6}] => {{1},{2,3,4},{5,6}}
[5,5,1,1,4,1] => [1,4,1,1,5,5] => [{1,3,4},{2},{5,6}] => {{1,3,4},{2},{5,6}}
[5,5,1,4,1,1] => [1,1,4,1,5,5] => [{1,2,4},{3},{5,6}] => {{1,2,4},{3},{5,6}}
[5,5,4,1,1,1] => [1,1,1,4,5,5] => [{1,2,3},{4},{5,6}] => {{1,2,3},{4},{5,6}}
[1,1,1,4,5,6] => [6,5,4,1,1,1] => [{4,5,6},{3},{2},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,4,6,5] => [5,6,4,1,1,1] => [{4,5,6},{3},{1},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,4,6] => [6,4,5,1,1,1] => [{4,5,6},{2},{3},{1}] => {{1},{2},{3},{4,5,6}}
[1,1,1,5,6,4] => [4,6,5,1,1,1] => [{4,5,6},{1},{3},{2}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,4,5] => [5,4,6,1,1,1] => [{4,5,6},{2},{1},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,1,6,5,4] => [4,5,6,1,1,1] => [{4,5,6},{1},{2},{3}] => {{1},{2},{3},{4,5,6}}
[1,1,4,1,5,6] => [6,5,1,4,1,1] => [{3,5,6},{4},{2},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,4,1,6,5] => [5,6,1,4,1,1] => [{3,5,6},{4},{1},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,4,5,1,6] => [6,1,5,4,1,1] => [{2,5,6},{4},{3},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,4,5,6,1] => [1,6,5,4,1,1] => [{1,5,6},{4},{3},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,4,6,1,5] => [5,1,6,4,1,1] => [{2,5,6},{4},{1},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,4,6,5,1] => [1,5,6,4,1,1] => [{1,5,6},{4},{2},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,5,1,4,6] => [6,4,1,5,1,1] => [{3,5,6},{2},{4},{1}] => {{1},{2},{3,5,6},{4}}
[1,1,5,1,6,4] => [4,6,1,5,1,1] => [{3,5,6},{1},{4},{2}] => {{1},{2},{3,5,6},{4}}
[1,1,5,4,1,6] => [6,1,4,5,1,1] => [{2,5,6},{3},{4},{1}] => {{1},{2,5,6},{3},{4}}
[1,1,5,4,6,1] => [1,6,4,5,1,1] => [{1,5,6},{3},{4},{2}] => {{1,5,6},{2},{3},{4}}
[1,1,5,6,1,4] => [4,1,6,5,1,1] => [{2,5,6},{1},{4},{3}] => {{1},{2,5,6},{3},{4}}
[1,1,5,6,4,1] => [1,4,6,5,1,1] => [{1,5,6},{2},{4},{3}] => {{1,5,6},{2},{3},{4}}
[1,1,6,1,4,5] => [5,4,1,6,1,1] => [{3,5,6},{2},{1},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,1,5,4] => [4,5,1,6,1,1] => [{3,5,6},{1},{2},{4}] => {{1},{2},{3,5,6},{4}}
[1,1,6,4,1,5] => [5,1,4,6,1,1] => [{2,5,6},{3},{1},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,4,5,1] => [1,5,4,6,1,1] => [{1,5,6},{3},{2},{4}] => {{1,5,6},{2},{3},{4}}
[1,1,6,5,1,4] => [4,1,5,6,1,1] => [{2,5,6},{1},{3},{4}] => {{1},{2,5,6},{3},{4}}
[1,1,6,5,4,1] => [1,4,5,6,1,1] => [{1,5,6},{2},{3},{4}] => {{1,5,6},{2},{3},{4}}
[1,4,1,1,5,6] => [6,5,1,1,4,1] => [{3,4,6},{5},{2},{1}] => {{1},{2},{3,4,6},{5}}
[1,4,1,1,6,5] => [5,6,1,1,4,1] => [{3,4,6},{5},{1},{2}] => {{1},{2},{3,4,6},{5}}
[1,4,1,5,1,6] => [6,1,5,1,4,1] => [{2,4,6},{5},{3},{1}] => {{1},{2,4,6},{3},{5}}
[1,4,1,5,6,1] => [1,6,5,1,4,1] => [{1,4,6},{5},{3},{2}] => {{1,4,6},{2},{3},{5}}
[1,4,1,6,1,5] => [5,1,6,1,4,1] => [{2,4,6},{5},{1},{3}] => {{1},{2,4,6},{3},{5}}
[1,4,1,6,5,1] => [1,5,6,1,4,1] => [{1,4,6},{5},{2},{3}] => {{1,4,6},{2},{3},{5}}
[1,4,5,1,1,6] => [6,1,1,5,4,1] => [{2,3,6},{5},{4},{1}] => {{1},{2,3,6},{4},{5}}
[1,4,5,1,6,1] => [1,6,1,5,4,1] => [{1,3,6},{5},{4},{2}] => {{1,3,6},{2},{4},{5}}
[1,4,5,6,1,1] => [1,1,6,5,4,1] => [{1,2,6},{5},{4},{3}] => {{1,2,6},{3},{4},{5}}
[1,4,6,1,1,5] => [5,1,1,6,4,1] => [{2,3,6},{5},{1},{4}] => {{1},{2,3,6},{4},{5}}
[1,4,6,1,5,1] => [1,5,1,6,4,1] => [{1,3,6},{5},{2},{4}] => {{1,3,6},{2},{4},{5}}
[1,4,6,5,1,1] => [1,1,5,6,4,1] => [{1,2,6},{5},{3},{4}] => {{1,2,6},{3},{4},{5}}
[1,5,1,1,4,6] => [6,4,1,1,5,1] => [{3,4,6},{2},{5},{1}] => {{1},{2},{3,4,6},{5}}
[1,5,1,1,6,4] => [4,6,1,1,5,1] => [{3,4,6},{1},{5},{2}] => {{1},{2},{3,4,6},{5}}
[1,5,1,4,1,6] => [6,1,4,1,5,1] => [{2,4,6},{3},{5},{1}] => {{1},{2,4,6},{3},{5}}
[1,5,1,4,6,1] => [1,6,4,1,5,1] => [{1,4,6},{3},{5},{2}] => {{1,4,6},{2},{3},{5}}
[1,5,1,6,1,4] => [4,1,6,1,5,1] => [{2,4,6},{1},{5},{3}] => {{1},{2,4,6},{3},{5}}
[1,5,1,6,4,1] => [1,4,6,1,5,1] => [{1,4,6},{2},{5},{3}] => {{1,4,6},{2},{3},{5}}
[1,5,4,1,1,6] => [6,1,1,4,5,1] => [{2,3,6},{4},{5},{1}] => {{1},{2,3,6},{4},{5}}
[1,5,4,1,6,1] => [1,6,1,4,5,1] => [{1,3,6},{4},{5},{2}] => {{1,3,6},{2},{4},{5}}
[1,5,4,6,1,1] => [1,1,6,4,5,1] => [{1,2,6},{4},{5},{3}] => {{1,2,6},{3},{4},{5}}
[1,5,6,1,1,4] => [4,1,1,6,5,1] => [{2,3,6},{1},{5},{4}] => {{1},{2,3,6},{4},{5}}
[1,5,6,1,4,1] => [1,4,1,6,5,1] => [{1,3,6},{2},{5},{4}] => {{1,3,6},{2},{4},{5}}
[1,5,6,4,1,1] => [1,1,4,6,5,1] => [{1,2,6},{3},{5},{4}] => {{1,2,6},{3},{4},{5}}
[1,6,1,1,4,5] => [5,4,1,1,6,1] => [{3,4,6},{2},{1},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,1,5,4] => [4,5,1,1,6,1] => [{3,4,6},{1},{2},{5}] => {{1},{2},{3,4,6},{5}}
[1,6,1,4,1,5] => [5,1,4,1,6,1] => [{2,4,6},{3},{1},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,4,5,1] => [1,5,4,1,6,1] => [{1,4,6},{3},{2},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,1,5,1,4] => [4,1,5,1,6,1] => [{2,4,6},{1},{3},{5}] => {{1},{2,4,6},{3},{5}}
[1,6,1,5,4,1] => [1,4,5,1,6,1] => [{1,4,6},{2},{3},{5}] => {{1,4,6},{2},{3},{5}}
[1,6,4,1,1,5] => [5,1,1,4,6,1] => [{2,3,6},{4},{1},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,4,1,5,1] => [1,5,1,4,6,1] => [{1,3,6},{4},{2},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,4,5,1,1] => [1,1,5,4,6,1] => [{1,2,6},{4},{3},{5}] => {{1,2,6},{3},{4},{5}}
[1,6,5,1,1,4] => [4,1,1,5,6,1] => [{2,3,6},{1},{4},{5}] => {{1},{2,3,6},{4},{5}}
[1,6,5,1,4,1] => [1,4,1,5,6,1] => [{1,3,6},{2},{4},{5}] => {{1,3,6},{2},{4},{5}}
[1,6,5,4,1,1] => [1,1,4,5,6,1] => [{1,2,6},{3},{4},{5}] => {{1,2,6},{3},{4},{5}}
[4,1,1,1,5,6] => [6,5,1,1,1,4] => [{3,4,5},{6},{2},{1}] => {{1},{2},{3,4,5},{6}}
[4,1,1,1,6,5] => [5,6,1,1,1,4] => [{3,4,5},{6},{1},{2}] => {{1},{2},{3,4,5},{6}}
[4,1,1,5,1,6] => [6,1,5,1,1,4] => [{2,4,5},{6},{3},{1}] => {{1},{2,4,5},{3},{6}}
[4,1,1,5,6,1] => [1,6,5,1,1,4] => [{1,4,5},{6},{3},{2}] => {{1,4,5},{2},{3},{6}}
[4,1,1,6,1,5] => [5,1,6,1,1,4] => [{2,4,5},{6},{1},{3}] => {{1},{2,4,5},{3},{6}}
[4,1,1,6,5,1] => [1,5,6,1,1,4] => [{1,4,5},{6},{2},{3}] => {{1,4,5},{2},{3},{6}}
[4,1,5,1,1,6] => [6,1,1,5,1,4] => [{2,3,5},{6},{4},{1}] => {{1},{2,3,5},{4},{6}}
[4,1,5,1,6,1] => [1,6,1,5,1,4] => [{1,3,5},{6},{4},{2}] => {{1,3,5},{2},{4},{6}}
[4,1,5,6,1,1] => [1,1,6,5,1,4] => [{1,2,5},{6},{4},{3}] => {{1,2,5},{3},{4},{6}}
[4,1,6,1,1,5] => [5,1,1,6,1,4] => [{2,3,5},{6},{1},{4}] => {{1},{2,3,5},{4},{6}}
[4,1,6,1,5,1] => [1,5,1,6,1,4] => [{1,3,5},{6},{2},{4}] => {{1,3,5},{2},{4},{6}}
[4,1,6,5,1,1] => [1,1,5,6,1,4] => [{1,2,5},{6},{3},{4}] => {{1,2,5},{3},{4},{6}}
[4,5,1,1,1,6] => [6,1,1,1,5,4] => [{2,3,4},{6},{5},{1}] => {{1},{2,3,4},{5},{6}}
[4,5,1,1,6,1] => [1,6,1,1,5,4] => [{1,3,4},{6},{5},{2}] => {{1,3,4},{2},{5},{6}}
[4,5,1,6,1,1] => [1,1,6,1,5,4] => [{1,2,4},{6},{5},{3}] => {{1,2,4},{3},{5},{6}}
[4,5,6,1,1,1] => [1,1,1,6,5,4] => [{1,2,3},{6},{5},{4}] => {{1,2,3},{4},{5},{6}}
[4,6,1,1,1,5] => [5,1,1,1,6,4] => [{2,3,4},{6},{1},{5}] => {{1},{2,3,4},{5},{6}}
[4,6,1,1,5,1] => [1,5,1,1,6,4] => [{1,3,4},{6},{2},{5}] => {{1,3,4},{2},{5},{6}}
[4,6,1,5,1,1] => [1,1,5,1,6,4] => [{1,2,4},{6},{3},{5}] => {{1,2,4},{3},{5},{6}}
[4,6,5,1,1,1] => [1,1,1,5,6,4] => [{1,2,3},{6},{4},{5}] => {{1,2,3},{4},{5},{6}}
[5,1,1,1,4,6] => [6,4,1,1,1,5] => [{3,4,5},{2},{6},{1}] => {{1},{2},{3,4,5},{6}}
[5,1,1,1,6,4] => [4,6,1,1,1,5] => [{3,4,5},{1},{6},{2}] => {{1},{2},{3,4,5},{6}}
[5,1,1,4,1,6] => [6,1,4,1,1,5] => [{2,4,5},{3},{6},{1}] => {{1},{2,4,5},{3},{6}}
[5,1,1,4,6,1] => [1,6,4,1,1,5] => [{1,4,5},{3},{6},{2}] => {{1,4,5},{2},{3},{6}}
[5,1,1,6,1,4] => [4,1,6,1,1,5] => [{2,4,5},{1},{6},{3}] => {{1},{2,4,5},{3},{6}}
[5,1,1,6,4,1] => [1,4,6,1,1,5] => [{1,4,5},{2},{6},{3}] => {{1,4,5},{2},{3},{6}}
[5,1,4,1,1,6] => [6,1,1,4,1,5] => [{2,3,5},{4},{6},{1}] => {{1},{2,3,5},{4},{6}}
[5,1,4,1,6,1] => [1,6,1,4,1,5] => [{1,3,5},{4},{6},{2}] => {{1,3,5},{2},{4},{6}}
[5,1,4,6,1,1] => [1,1,6,4,1,5] => [{1,2,5},{4},{6},{3}] => {{1,2,5},{3},{4},{6}}
[5,1,6,1,1,4] => [4,1,1,6,1,5] => [{2,3,5},{1},{6},{4}] => {{1},{2,3,5},{4},{6}}
[5,1,6,1,4,1] => [1,4,1,6,1,5] => [{1,3,5},{2},{6},{4}] => {{1,3,5},{2},{4},{6}}
[5,1,6,4,1,1] => [1,1,4,6,1,5] => [{1,2,5},{3},{6},{4}] => {{1,2,5},{3},{4},{6}}
[5,4,1,1,1,6] => [6,1,1,1,4,5] => [{2,3,4},{5},{6},{1}] => {{1},{2,3,4},{5},{6}}
[5,4,1,1,6,1] => [1,6,1,1,4,5] => [{1,3,4},{5},{6},{2}] => {{1,3,4},{2},{5},{6}}
[5,4,1,6,1,1] => [1,1,6,1,4,5] => [{1,2,4},{5},{6},{3}] => {{1,2,4},{3},{5},{6}}
[5,4,6,1,1,1] => [1,1,1,6,4,5] => [{1,2,3},{5},{6},{4}] => {{1,2,3},{4},{5},{6}}
[5,6,1,1,1,4] => [4,1,1,1,6,5] => [{2,3,4},{1},{6},{5}] => {{1},{2,3,4},{5},{6}}
[5,6,1,1,4,1] => [1,4,1,1,6,5] => [{1,3,4},{2},{6},{5}] => {{1,3,4},{2},{5},{6}}
[5,6,1,4,1,1] => [1,1,4,1,6,5] => [{1,2,4},{3},{6},{5}] => {{1,2,4},{3},{5},{6}}
[5,6,4,1,1,1] => [1,1,1,4,6,5] => [{1,2,3},{4},{6},{5}] => {{1,2,3},{4},{5},{6}}
[6,1,1,1,4,5] => [5,4,1,1,1,6] => [{3,4,5},{2},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,1,5,4] => [4,5,1,1,1,6] => [{3,4,5},{1},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,1,1,4,1,5] => [5,1,4,1,1,6] => [{2,4,5},{3},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,4,5,1] => [1,5,4,1,1,6] => [{1,4,5},{3},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,1,5,1,4] => [4,1,5,1,1,6] => [{2,4,5},{1},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,1,1,5,4,1] => [1,4,5,1,1,6] => [{1,4,5},{2},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,1,4,1,1,5] => [5,1,1,4,1,6] => [{2,3,5},{4},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,4,1,5,1] => [1,5,1,4,1,6] => [{1,3,5},{4},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,4,5,1,1] => [1,1,5,4,1,6] => [{1,2,5},{4},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,1,5,1,1,4] => [4,1,1,5,1,6] => [{2,3,5},{1},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,1,5,1,4,1] => [1,4,1,5,1,6] => [{1,3,5},{2},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,1,5,4,1,1] => [1,1,4,5,1,6] => [{1,2,5},{3},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,4,1,1,1,5] => [5,1,1,1,4,6] => [{2,3,4},{5},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,4,1,1,5,1] => [1,5,1,1,4,6] => [{1,3,4},{5},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,4,1,5,1,1] => [1,1,5,1,4,6] => [{1,2,4},{5},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,4,5,1,1,1] => [1,1,1,5,4,6] => [{1,2,3},{5},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,5,1,1,1,4] => [4,1,1,1,5,6] => [{2,3,4},{1},{5},{6}] => {{1},{2,3,4},{5},{6}}
[6,5,1,1,4,1] => [1,4,1,1,5,6] => [{1,3,4},{2},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,5,1,4,1,1] => [1,1,4,1,5,6] => [{1,2,4},{3},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,5,4,1,1,1] => [1,1,1,4,5,6] => [{1,2,3},{4},{5},{6}] => {{1,2,3},{4},{5},{6}}
[1,1,2,2,2,2] => [2,2,2,2,1,1] => [{5,6},{1,2,3,4}] => {{1,2,3,4},{5,6}}
[1,2,1,2,2,2] => [2,2,2,1,2,1] => [{4,6},{1,2,3,5}] => {{1,2,3,5},{4,6}}
[1,2,2,1,2,2] => [2,2,1,2,2,1] => [{3,6},{1,2,4,5}] => {{1,2,4,5},{3,6}}
[1,2,2,2,1,2] => [2,1,2,2,2,1] => [{2,6},{1,3,4,5}] => {{1,3,4,5},{2,6}}
[1,2,2,2,2,1] => [1,2,2,2,2,1] => [{1,6},{2,3,4,5}] => {{1,6},{2,3,4,5}}
[2,1,1,2,2,2] => [2,2,2,1,1,2] => [{4,5},{1,2,3,6}] => {{1,2,3,6},{4,5}}
[2,1,2,1,2,2] => [2,2,1,2,1,2] => [{3,5},{1,2,4,6}] => {{1,2,4,6},{3,5}}
[2,1,2,2,1,2] => [2,1,2,2,1,2] => [{2,5},{1,3,4,6}] => {{1,3,4,6},{2,5}}
[2,1,2,2,2,1] => [1,2,2,2,1,2] => [{1,5},{2,3,4,6}] => {{1,5},{2,3,4,6}}
[2,2,1,1,2,2] => [2,2,1,1,2,2] => [{3,4},{1,2,5,6}] => {{1,2,5,6},{3,4}}
[2,2,1,2,1,2] => [2,1,2,1,2,2] => [{2,4},{1,3,5,6}] => {{1,3,5,6},{2,4}}
[2,2,1,2,2,1] => [1,2,2,1,2,2] => [{1,4},{2,3,5,6}] => {{1,4},{2,3,5,6}}
[2,2,2,1,1,2] => [2,1,1,2,2,2] => [{2,3},{1,4,5,6}] => {{1,4,5,6},{2,3}}
[2,2,2,1,2,1] => [1,2,1,2,2,2] => [{1,3},{2,4,5,6}] => {{1,3},{2,4,5,6}}
[2,2,2,2,1,1] => [1,1,2,2,2,2] => [{1,2},{3,4,5,6}] => {{1,2},{3,4,5,6}}
[1,1,2,2,2,3] => [3,2,2,2,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,2,2,3,2] => [2,3,2,2,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,2,3,2,2] => [2,2,3,2,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,3,2,2,2] => [2,2,2,3,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,2,1,2,2,3] => [3,2,2,1,2,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,2,1,2,3,2] => [2,3,2,1,2,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,2,1,3,2,2] => [2,2,3,1,2,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,2,2,1,2,3] => [3,2,1,2,2,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,2,2,1,3,2] => [2,3,1,2,2,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,2,2,2,1,3] => [3,1,2,2,2,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,2,2,2,3,1] => [1,3,2,2,2,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,2,2,3,1,2] => [2,1,3,2,2,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,2,2,3,2,1] => [1,2,3,2,2,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,2,3,1,2,2] => [2,2,1,3,2,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,2,3,2,1,2] => [2,1,2,3,2,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,2,3,2,2,1] => [1,2,2,3,2,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,3,1,2,2,2] => [2,2,2,1,3,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,3,2,1,2,2] => [2,2,1,2,3,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,3,2,2,1,2] => [2,1,2,2,3,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,3,2,2,2,1] => [1,2,2,2,3,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[2,1,1,2,2,3] => [3,2,2,1,1,2] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[2,1,1,2,3,2] => [2,3,2,1,1,2] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[2,1,1,3,2,2] => [2,2,3,1,1,2] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[2,1,2,1,2,3] => [3,2,1,2,1,2] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[2,1,2,1,3,2] => [2,3,1,2,1,2] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[2,1,2,2,1,3] => [3,1,2,2,1,2] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[2,1,2,2,3,1] => [1,3,2,2,1,2] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[2,1,2,3,1,2] => [2,1,3,2,1,2] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[2,1,2,3,2,1] => [1,2,3,2,1,2] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[2,1,3,1,2,2] => [2,2,1,3,1,2] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[2,1,3,2,1,2] => [2,1,2,3,1,2] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[2,1,3,2,2,1] => [1,2,2,3,1,2] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[2,2,1,1,2,3] => [3,2,1,1,2,2] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[2,2,1,1,3,2] => [2,3,1,1,2,2] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[2,2,1,2,1,3] => [3,1,2,1,2,2] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[2,2,1,2,3,1] => [1,3,2,1,2,2] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[2,2,1,3,1,2] => [2,1,3,1,2,2] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[2,2,1,3,2,1] => [1,2,3,1,2,2] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[2,2,2,1,1,3] => [3,1,1,2,2,2] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[2,2,2,1,3,1] => [1,3,1,2,2,2] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[2,2,2,3,1,1] => [1,1,3,2,2,2] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[2,2,3,1,1,2] => [2,1,1,3,2,2] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[2,2,3,1,2,1] => [1,2,1,3,2,2] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[2,2,3,2,1,1] => [1,1,2,3,2,2] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[2,3,1,1,2,2] => [2,2,1,1,3,2] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[2,3,1,2,1,2] => [2,1,2,1,3,2] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[2,3,1,2,2,1] => [1,2,2,1,3,2] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[2,3,2,1,1,2] => [2,1,1,2,3,2] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[2,3,2,1,2,1] => [1,2,1,2,3,2] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[2,3,2,2,1,1] => [1,1,2,2,3,2] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[3,1,1,2,2,2] => [2,2,2,1,1,3] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[3,1,2,1,2,2] => [2,2,1,2,1,3] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[3,1,2,2,1,2] => [2,1,2,2,1,3] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[3,1,2,2,2,1] => [1,2,2,2,1,3] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[3,2,1,1,2,2] => [2,2,1,1,2,3] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[3,2,1,2,1,2] => [2,1,2,1,2,3] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[3,2,1,2,2,1] => [1,2,2,1,2,3] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[3,2,2,1,1,2] => [2,1,1,2,2,3] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[3,2,2,1,2,1] => [1,2,1,2,2,3] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[3,2,2,2,1,1] => [1,1,2,2,2,3] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,2,2,2,4] => [4,2,2,2,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,2,2,4,2] => [2,4,2,2,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,2,4,2,2] => [2,2,4,2,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,4,2,2,2] => [2,2,2,4,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,2,1,2,2,4] => [4,2,2,1,2,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,2,1,2,4,2] => [2,4,2,1,2,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,2,1,4,2,2] => [2,2,4,1,2,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,2,2,1,2,4] => [4,2,1,2,2,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,2,2,1,4,2] => [2,4,1,2,2,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,2,2,2,1,4] => [4,1,2,2,2,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,2,2,2,4,1] => [1,4,2,2,2,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,2,2,4,1,2] => [2,1,4,2,2,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,2,2,4,2,1] => [1,2,4,2,2,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,2,4,1,2,2] => [2,2,1,4,2,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,2,4,2,1,2] => [2,1,2,4,2,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,2,4,2,2,1] => [1,2,2,4,2,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,4,1,2,2,2] => [2,2,2,1,4,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,4,2,1,2,2] => [2,2,1,2,4,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,4,2,2,1,2] => [2,1,2,2,4,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,4,2,2,2,1] => [1,2,2,2,4,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[2,1,1,2,2,4] => [4,2,2,1,1,2] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[2,1,1,2,4,2] => [2,4,2,1,1,2] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[2,1,1,4,2,2] => [2,2,4,1,1,2] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[2,1,2,1,2,4] => [4,2,1,2,1,2] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[2,1,2,1,4,2] => [2,4,1,2,1,2] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[2,1,2,2,1,4] => [4,1,2,2,1,2] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[2,1,2,2,4,1] => [1,4,2,2,1,2] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[2,1,2,4,1,2] => [2,1,4,2,1,2] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[2,1,2,4,2,1] => [1,2,4,2,1,2] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[2,1,4,1,2,2] => [2,2,1,4,1,2] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[2,1,4,2,1,2] => [2,1,2,4,1,2] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[2,1,4,2,2,1] => [1,2,2,4,1,2] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[2,2,1,1,2,4] => [4,2,1,1,2,2] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[2,2,1,1,4,2] => [2,4,1,1,2,2] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[2,2,1,2,1,4] => [4,1,2,1,2,2] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[2,2,1,2,4,1] => [1,4,2,1,2,2] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[2,2,1,4,1,2] => [2,1,4,1,2,2] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[2,2,1,4,2,1] => [1,2,4,1,2,2] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[2,2,2,1,1,4] => [4,1,1,2,2,2] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[2,2,2,1,4,1] => [1,4,1,2,2,2] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[2,2,2,4,1,1] => [1,1,4,2,2,2] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[2,2,4,1,1,2] => [2,1,1,4,2,2] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[2,2,4,1,2,1] => [1,2,1,4,2,2] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[2,2,4,2,1,1] => [1,1,2,4,2,2] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[2,4,1,1,2,2] => [2,2,1,1,4,2] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[2,4,1,2,1,2] => [2,1,2,1,4,2] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[2,4,1,2,2,1] => [1,2,2,1,4,2] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[2,4,2,1,1,2] => [2,1,1,2,4,2] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[2,4,2,1,2,1] => [1,2,1,2,4,2] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[2,4,2,2,1,1] => [1,1,2,2,4,2] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[4,1,1,2,2,2] => [2,2,2,1,1,4] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[4,1,2,1,2,2] => [2,2,1,2,1,4] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[4,1,2,2,1,2] => [2,1,2,2,1,4] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[4,1,2,2,2,1] => [1,2,2,2,1,4] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[4,2,1,1,2,2] => [2,2,1,1,2,4] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[4,2,1,2,1,2] => [2,1,2,1,2,4] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[4,2,1,2,2,1] => [1,2,2,1,2,4] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[4,2,2,1,1,2] => [2,1,1,2,2,4] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[4,2,2,1,2,1] => [1,2,1,2,2,4] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[4,2,2,2,1,1] => [1,1,2,2,2,4] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,2,2,2,5] => [5,2,2,2,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,2,2,5,2] => [2,5,2,2,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,2,5,2,2] => [2,2,5,2,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,5,2,2,2] => [2,2,2,5,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,2,1,2,2,5] => [5,2,2,1,2,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,2,1,2,5,2] => [2,5,2,1,2,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,2,1,5,2,2] => [2,2,5,1,2,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,2,2,1,2,5] => [5,2,1,2,2,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,2,2,1,5,2] => [2,5,1,2,2,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,2,2,2,1,5] => [5,1,2,2,2,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,2,2,2,5,1] => [1,5,2,2,2,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,2,2,5,1,2] => [2,1,5,2,2,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,2,2,5,2,1] => [1,2,5,2,2,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,2,5,1,2,2] => [2,2,1,5,2,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,2,5,2,1,2] => [2,1,2,5,2,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,2,5,2,2,1] => [1,2,2,5,2,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,5,1,2,2,2] => [2,2,2,1,5,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,5,2,1,2,2] => [2,2,1,2,5,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,5,2,2,1,2] => [2,1,2,2,5,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,5,2,2,2,1] => [1,2,2,2,5,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[2,1,1,2,2,5] => [5,2,2,1,1,2] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[2,1,1,2,5,2] => [2,5,2,1,1,2] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[2,1,1,5,2,2] => [2,2,5,1,1,2] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[2,1,2,1,2,5] => [5,2,1,2,1,2] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[2,1,2,1,5,2] => [2,5,1,2,1,2] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[2,1,2,2,1,5] => [5,1,2,2,1,2] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[2,1,2,2,5,1] => [1,5,2,2,1,2] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[2,1,2,5,1,2] => [2,1,5,2,1,2] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[2,1,2,5,2,1] => [1,2,5,2,1,2] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[2,1,5,1,2,2] => [2,2,1,5,1,2] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[2,1,5,2,1,2] => [2,1,2,5,1,2] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[2,1,5,2,2,1] => [1,2,2,5,1,2] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[2,2,1,1,2,5] => [5,2,1,1,2,2] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[2,2,1,1,5,2] => [2,5,1,1,2,2] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[2,2,1,2,1,5] => [5,1,2,1,2,2] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[2,2,1,2,5,1] => [1,5,2,1,2,2] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[2,2,1,5,1,2] => [2,1,5,1,2,2] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[2,2,1,5,2,1] => [1,2,5,1,2,2] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[2,2,2,1,1,5] => [5,1,1,2,2,2] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[2,2,2,1,5,1] => [1,5,1,2,2,2] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[2,2,2,5,1,1] => [1,1,5,2,2,2] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[2,2,5,1,1,2] => [2,1,1,5,2,2] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[2,2,5,1,2,1] => [1,2,1,5,2,2] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[2,2,5,2,1,1] => [1,1,2,5,2,2] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[2,5,1,1,2,2] => [2,2,1,1,5,2] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[2,5,1,2,1,2] => [2,1,2,1,5,2] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[2,5,1,2,2,1] => [1,2,2,1,5,2] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[2,5,2,1,1,2] => [2,1,1,2,5,2] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[2,5,2,1,2,1] => [1,2,1,2,5,2] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[2,5,2,2,1,1] => [1,1,2,2,5,2] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[5,1,1,2,2,2] => [2,2,2,1,1,5] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[5,1,2,1,2,2] => [2,2,1,2,1,5] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[5,1,2,2,1,2] => [2,1,2,2,1,5] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[5,1,2,2,2,1] => [1,2,2,2,1,5] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[5,2,1,1,2,2] => [2,2,1,1,2,5] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[5,2,1,2,1,2] => [2,1,2,1,2,5] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[5,2,1,2,2,1] => [1,2,2,1,2,5] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[5,2,2,1,1,2] => [2,1,1,2,2,5] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[5,2,2,1,2,1] => [1,2,1,2,2,5] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[5,2,2,2,1,1] => [1,1,2,2,2,5] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,2,2,2,6] => [6,2,2,2,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,2,2,6,2] => [2,6,2,2,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,2,6,2,2] => [2,2,6,2,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,6,2,2,2] => [2,2,2,6,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,2,1,2,2,6] => [6,2,2,1,2,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,2,1,2,6,2] => [2,6,2,1,2,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,2,1,6,2,2] => [2,2,6,1,2,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,2,2,1,2,6] => [6,2,1,2,2,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,2,2,1,6,2] => [2,6,1,2,2,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,2,2,2,1,6] => [6,1,2,2,2,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,2,2,2,6,1] => [1,6,2,2,2,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,2,2,6,1,2] => [2,1,6,2,2,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,2,2,6,2,1] => [1,2,6,2,2,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,2,6,1,2,2] => [2,2,1,6,2,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,2,6,2,1,2] => [2,1,2,6,2,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,2,6,2,2,1] => [1,2,2,6,2,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,6,1,2,2,2] => [2,2,2,1,6,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,6,2,1,2,2] => [2,2,1,2,6,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,6,2,2,1,2] => [2,1,2,2,6,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,6,2,2,2,1] => [1,2,2,2,6,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[2,1,1,2,2,6] => [6,2,2,1,1,2] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[2,1,1,2,6,2] => [2,6,2,1,1,2] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[2,1,1,6,2,2] => [2,2,6,1,1,2] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[2,1,2,1,2,6] => [6,2,1,2,1,2] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[2,1,2,1,6,2] => [2,6,1,2,1,2] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[2,1,2,2,1,6] => [6,1,2,2,1,2] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[2,1,2,2,6,1] => [1,6,2,2,1,2] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[2,1,2,6,1,2] => [2,1,6,2,1,2] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[2,1,2,6,2,1] => [1,2,6,2,1,2] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[2,1,6,1,2,2] => [2,2,1,6,1,2] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[2,1,6,2,1,2] => [2,1,2,6,1,2] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[2,1,6,2,2,1] => [1,2,2,6,1,2] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[2,2,1,1,2,6] => [6,2,1,1,2,2] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[2,2,1,1,6,2] => [2,6,1,1,2,2] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[2,2,1,2,1,6] => [6,1,2,1,2,2] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[2,2,1,2,6,1] => [1,6,2,1,2,2] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[2,2,1,6,1,2] => [2,1,6,1,2,2] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[2,2,1,6,2,1] => [1,2,6,1,2,2] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[2,2,2,1,1,6] => [6,1,1,2,2,2] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[2,2,2,1,6,1] => [1,6,1,2,2,2] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[2,2,2,6,1,1] => [1,1,6,2,2,2] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[2,2,6,1,1,2] => [2,1,1,6,2,2] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[2,2,6,1,2,1] => [1,2,1,6,2,2] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[2,2,6,2,1,1] => [1,1,2,6,2,2] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[2,6,1,1,2,2] => [2,2,1,1,6,2] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[2,6,1,2,1,2] => [2,1,2,1,6,2] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[2,6,1,2,2,1] => [1,2,2,1,6,2] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[2,6,2,1,1,2] => [2,1,1,2,6,2] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[2,6,2,1,2,1] => [1,2,1,2,6,2] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[2,6,2,2,1,1] => [1,1,2,2,6,2] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[6,1,1,2,2,2] => [2,2,2,1,1,6] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[6,1,2,1,2,2] => [2,2,1,2,1,6] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[6,1,2,2,1,2] => [2,1,2,2,1,6] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[6,1,2,2,2,1] => [1,2,2,2,1,6] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[6,2,1,1,2,2] => [2,2,1,1,2,6] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[6,2,1,2,1,2] => [2,1,2,1,2,6] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[6,2,1,2,2,1] => [1,2,2,1,2,6] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[6,2,2,1,1,2] => [2,1,1,2,2,6] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[6,2,2,1,2,1] => [1,2,1,2,2,6] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[6,2,2,2,1,1] => [1,1,2,2,2,6] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,2,2,3,3] => [3,3,2,2,1,1] => [{5,6},{3,4},{1,2}] => {{1,2},{3,4},{5,6}}
[1,1,2,3,2,3] => [3,2,3,2,1,1] => [{5,6},{2,4},{1,3}] => {{1,3},{2,4},{5,6}}
[1,1,2,3,3,2] => [2,3,3,2,1,1] => [{5,6},{1,4},{2,3}] => {{1,4},{2,3},{5,6}}
[1,1,3,2,2,3] => [3,2,2,3,1,1] => [{5,6},{2,3},{1,4}] => {{1,4},{2,3},{5,6}}
[1,1,3,2,3,2] => [2,3,2,3,1,1] => [{5,6},{1,3},{2,4}] => {{1,3},{2,4},{5,6}}
[1,1,3,3,2,2] => [2,2,3,3,1,1] => [{5,6},{1,2},{3,4}] => {{1,2},{3,4},{5,6}}
[1,2,1,2,3,3] => [3,3,2,1,2,1] => [{4,6},{3,5},{1,2}] => {{1,2},{3,5},{4,6}}
[1,2,1,3,2,3] => [3,2,3,1,2,1] => [{4,6},{2,5},{1,3}] => {{1,3},{2,5},{4,6}}
[1,2,1,3,3,2] => [2,3,3,1,2,1] => [{4,6},{1,5},{2,3}] => {{1,5},{2,3},{4,6}}
[1,2,2,1,3,3] => [3,3,1,2,2,1] => [{3,6},{4,5},{1,2}] => {{1,2},{3,6},{4,5}}
[1,2,2,3,1,3] => [3,1,3,2,2,1] => [{2,6},{4,5},{1,3}] => {{1,3},{2,6},{4,5}}
[1,2,2,3,3,1] => [1,3,3,2,2,1] => [{1,6},{4,5},{2,3}] => {{1,6},{2,3},{4,5}}
[1,2,3,1,2,3] => [3,2,1,3,2,1] => [{3,6},{2,5},{1,4}] => {{1,4},{2,5},{3,6}}
[1,2,3,1,3,2] => [2,3,1,3,2,1] => [{3,6},{1,5},{2,4}] => {{1,5},{2,4},{3,6}}
[1,2,3,2,1,3] => [3,1,2,3,2,1] => [{2,6},{3,5},{1,4}] => {{1,4},{2,6},{3,5}}
[1,2,3,2,3,1] => [1,3,2,3,2,1] => [{1,6},{3,5},{2,4}] => {{1,6},{2,4},{3,5}}
[1,2,3,3,1,2] => [2,1,3,3,2,1] => [{2,6},{1,5},{3,4}] => {{1,5},{2,6},{3,4}}
[1,2,3,3,2,1] => [1,2,3,3,2,1] => [{1,6},{2,5},{3,4}] => {{1,6},{2,5},{3,4}}
[1,3,1,2,2,3] => [3,2,2,1,3,1] => [{4,6},{2,3},{1,5}] => {{1,5},{2,3},{4,6}}
[1,3,1,2,3,2] => [2,3,2,1,3,1] => [{4,6},{1,3},{2,5}] => {{1,3},{2,5},{4,6}}
[1,3,1,3,2,2] => [2,2,3,1,3,1] => [{4,6},{1,2},{3,5}] => {{1,2},{3,5},{4,6}}
[1,3,2,1,2,3] => [3,2,1,2,3,1] => [{3,6},{2,4},{1,5}] => {{1,5},{2,4},{3,6}}
[1,3,2,1,3,2] => [2,3,1,2,3,1] => [{3,6},{1,4},{2,5}] => {{1,4},{2,5},{3,6}}
[1,3,2,2,1,3] => [3,1,2,2,3,1] => [{2,6},{3,4},{1,5}] => {{1,5},{2,6},{3,4}}
[1,3,2,2,3,1] => [1,3,2,2,3,1] => [{1,6},{3,4},{2,5}] => {{1,6},{2,5},{3,4}}
[1,3,2,3,1,2] => [2,1,3,2,3,1] => [{2,6},{1,4},{3,5}] => {{1,4},{2,6},{3,5}}
[1,3,2,3,2,1] => [1,2,3,2,3,1] => [{1,6},{2,4},{3,5}] => {{1,6},{2,4},{3,5}}
[1,3,3,1,2,2] => [2,2,1,3,3,1] => [{3,6},{1,2},{4,5}] => {{1,2},{3,6},{4,5}}
[1,3,3,2,1,2] => [2,1,2,3,3,1] => [{2,6},{1,3},{4,5}] => {{1,3},{2,6},{4,5}}
[1,3,3,2,2,1] => [1,2,2,3,3,1] => [{1,6},{2,3},{4,5}] => {{1,6},{2,3},{4,5}}
[2,1,1,2,3,3] => [3,3,2,1,1,2] => [{4,5},{3,6},{1,2}] => {{1,2},{3,6},{4,5}}
[2,1,1,3,2,3] => [3,2,3,1,1,2] => [{4,5},{2,6},{1,3}] => {{1,3},{2,6},{4,5}}
[2,1,1,3,3,2] => [2,3,3,1,1,2] => [{4,5},{1,6},{2,3}] => {{1,6},{2,3},{4,5}}
[2,1,2,1,3,3] => [3,3,1,2,1,2] => [{3,5},{4,6},{1,2}] => {{1,2},{3,5},{4,6}}
[2,1,2,3,1,3] => [3,1,3,2,1,2] => [{2,5},{4,6},{1,3}] => {{1,3},{2,5},{4,6}}
[2,1,2,3,3,1] => [1,3,3,2,1,2] => [{1,5},{4,6},{2,3}] => {{1,5},{2,3},{4,6}}
[2,1,3,1,2,3] => [3,2,1,3,1,2] => [{3,5},{2,6},{1,4}] => {{1,4},{2,6},{3,5}}
[2,1,3,1,3,2] => [2,3,1,3,1,2] => [{3,5},{1,6},{2,4}] => {{1,6},{2,4},{3,5}}
[2,1,3,2,1,3] => [3,1,2,3,1,2] => [{2,5},{3,6},{1,4}] => {{1,4},{2,5},{3,6}}
[2,1,3,2,3,1] => [1,3,2,3,1,2] => [{1,5},{3,6},{2,4}] => {{1,5},{2,4},{3,6}}
[2,1,3,3,1,2] => [2,1,3,3,1,2] => [{2,5},{1,6},{3,4}] => {{1,6},{2,5},{3,4}}
[2,1,3,3,2,1] => [1,2,3,3,1,2] => [{1,5},{2,6},{3,4}] => {{1,5},{2,6},{3,4}}
[2,2,1,1,3,3] => [3,3,1,1,2,2] => [{3,4},{5,6},{1,2}] => {{1,2},{3,4},{5,6}}
[2,2,1,3,1,3] => [3,1,3,1,2,2] => [{2,4},{5,6},{1,3}] => {{1,3},{2,4},{5,6}}
[2,2,1,3,3,1] => [1,3,3,1,2,2] => [{1,4},{5,6},{2,3}] => {{1,4},{2,3},{5,6}}
[2,2,3,1,1,3] => [3,1,1,3,2,2] => [{2,3},{5,6},{1,4}] => {{1,4},{2,3},{5,6}}
[2,2,3,1,3,1] => [1,3,1,3,2,2] => [{1,3},{5,6},{2,4}] => {{1,3},{2,4},{5,6}}
[2,2,3,3,1,1] => [1,1,3,3,2,2] => [{1,2},{5,6},{3,4}] => {{1,2},{3,4},{5,6}}
[2,3,1,1,2,3] => [3,2,1,1,3,2] => [{3,4},{2,6},{1,5}] => {{1,5},{2,6},{3,4}}
[2,3,1,1,3,2] => [2,3,1,1,3,2] => [{3,4},{1,6},{2,5}] => {{1,6},{2,5},{3,4}}
[2,3,1,2,1,3] => [3,1,2,1,3,2] => [{2,4},{3,6},{1,5}] => {{1,5},{2,4},{3,6}}
[2,3,1,2,3,1] => [1,3,2,1,3,2] => [{1,4},{3,6},{2,5}] => {{1,4},{2,5},{3,6}}
[2,3,1,3,1,2] => [2,1,3,1,3,2] => [{2,4},{1,6},{3,5}] => {{1,6},{2,4},{3,5}}
[2,3,1,3,2,1] => [1,2,3,1,3,2] => [{1,4},{2,6},{3,5}] => {{1,4},{2,6},{3,5}}
[2,3,2,1,1,3] => [3,1,1,2,3,2] => [{2,3},{4,6},{1,5}] => {{1,5},{2,3},{4,6}}
[2,3,2,1,3,1] => [1,3,1,2,3,2] => [{1,3},{4,6},{2,5}] => {{1,3},{2,5},{4,6}}
[2,3,2,3,1,1] => [1,1,3,2,3,2] => [{1,2},{4,6},{3,5}] => {{1,2},{3,5},{4,6}}
[2,3,3,1,1,2] => [2,1,1,3,3,2] => [{2,3},{1,6},{4,5}] => {{1,6},{2,3},{4,5}}
[2,3,3,1,2,1] => [1,2,1,3,3,2] => [{1,3},{2,6},{4,5}] => {{1,3},{2,6},{4,5}}
[2,3,3,2,1,1] => [1,1,2,3,3,2] => [{1,2},{3,6},{4,5}] => {{1,2},{3,6},{4,5}}
[3,1,1,2,2,3] => [3,2,2,1,1,3] => [{4,5},{2,3},{1,6}] => {{1,6},{2,3},{4,5}}
[3,1,1,2,3,2] => [2,3,2,1,1,3] => [{4,5},{1,3},{2,6}] => {{1,3},{2,6},{4,5}}
[3,1,1,3,2,2] => [2,2,3,1,1,3] => [{4,5},{1,2},{3,6}] => {{1,2},{3,6},{4,5}}
[3,1,2,1,2,3] => [3,2,1,2,1,3] => [{3,5},{2,4},{1,6}] => {{1,6},{2,4},{3,5}}
[3,1,2,1,3,2] => [2,3,1,2,1,3] => [{3,5},{1,4},{2,6}] => {{1,4},{2,6},{3,5}}
[3,1,2,2,1,3] => [3,1,2,2,1,3] => [{2,5},{3,4},{1,6}] => {{1,6},{2,5},{3,4}}
[3,1,2,2,3,1] => [1,3,2,2,1,3] => [{1,5},{3,4},{2,6}] => {{1,5},{2,6},{3,4}}
[3,1,2,3,1,2] => [2,1,3,2,1,3] => [{2,5},{1,4},{3,6}] => {{1,4},{2,5},{3,6}}
[3,1,2,3,2,1] => [1,2,3,2,1,3] => [{1,5},{2,4},{3,6}] => {{1,5},{2,4},{3,6}}
[3,1,3,1,2,2] => [2,2,1,3,1,3] => [{3,5},{1,2},{4,6}] => {{1,2},{3,5},{4,6}}
[3,1,3,2,1,2] => [2,1,2,3,1,3] => [{2,5},{1,3},{4,6}] => {{1,3},{2,5},{4,6}}
[3,1,3,2,2,1] => [1,2,2,3,1,3] => [{1,5},{2,3},{4,6}] => {{1,5},{2,3},{4,6}}
[3,2,1,1,2,3] => [3,2,1,1,2,3] => [{3,4},{2,5},{1,6}] => {{1,6},{2,5},{3,4}}
[3,2,1,1,3,2] => [2,3,1,1,2,3] => [{3,4},{1,5},{2,6}] => {{1,5},{2,6},{3,4}}
[3,2,1,2,1,3] => [3,1,2,1,2,3] => [{2,4},{3,5},{1,6}] => {{1,6},{2,4},{3,5}}
[3,2,1,2,3,1] => [1,3,2,1,2,3] => [{1,4},{3,5},{2,6}] => {{1,4},{2,6},{3,5}}
[3,2,1,3,1,2] => [2,1,3,1,2,3] => [{2,4},{1,5},{3,6}] => {{1,5},{2,4},{3,6}}
[3,2,1,3,2,1] => [1,2,3,1,2,3] => [{1,4},{2,5},{3,6}] => {{1,4},{2,5},{3,6}}
[3,2,2,1,1,3] => [3,1,1,2,2,3] => [{2,3},{4,5},{1,6}] => {{1,6},{2,3},{4,5}}
[3,2,2,1,3,1] => [1,3,1,2,2,3] => [{1,3},{4,5},{2,6}] => {{1,3},{2,6},{4,5}}
[3,2,2,3,1,1] => [1,1,3,2,2,3] => [{1,2},{4,5},{3,6}] => {{1,2},{3,6},{4,5}}
[3,2,3,1,1,2] => [2,1,1,3,2,3] => [{2,3},{1,5},{4,6}] => {{1,5},{2,3},{4,6}}
[3,2,3,1,2,1] => [1,2,1,3,2,3] => [{1,3},{2,5},{4,6}] => {{1,3},{2,5},{4,6}}
[3,2,3,2,1,1] => [1,1,2,3,2,3] => [{1,2},{3,5},{4,6}] => {{1,2},{3,5},{4,6}}
[3,3,1,1,2,2] => [2,2,1,1,3,3] => [{3,4},{1,2},{5,6}] => {{1,2},{3,4},{5,6}}
[3,3,1,2,1,2] => [2,1,2,1,3,3] => [{2,4},{1,3},{5,6}] => {{1,3},{2,4},{5,6}}
[3,3,1,2,2,1] => [1,2,2,1,3,3] => [{1,4},{2,3},{5,6}] => {{1,4},{2,3},{5,6}}
[3,3,2,1,1,2] => [2,1,1,2,3,3] => [{2,3},{1,4},{5,6}] => {{1,4},{2,3},{5,6}}
[3,3,2,1,2,1] => [1,2,1,2,3,3] => [{1,3},{2,4},{5,6}] => {{1,3},{2,4},{5,6}}
[3,3,2,2,1,1] => [1,1,2,2,3,3] => [{1,2},{3,4},{5,6}] => {{1,2},{3,4},{5,6}}
[1,1,2,2,3,4] => [4,3,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,4,3] => [3,4,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,3,2,4] => [4,2,3,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,3,4,2] => [2,4,3,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,4,2,3] => [3,2,4,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,4,3,2] => [2,3,4,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,2,2,4] => [4,2,2,3,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,3,2,4,2] => [2,4,2,3,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,3,4,2,2] => [2,2,4,3,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,4,2,2,3] => [3,2,2,4,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,4,2,3,2] => [2,3,2,4,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,4,3,2,2] => [2,2,3,4,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,3,4] => [4,3,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,4,3] => [3,4,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,3,2,4] => [4,2,3,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,3,4,2] => [2,4,3,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,4,2,3] => [3,2,4,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,4,3,2] => [2,3,4,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,3,4] => [4,3,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,4,3] => [3,4,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,3,1,4] => [4,1,3,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,3,4,1] => [1,4,3,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,4,1,3] => [3,1,4,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,4,3,1] => [1,3,4,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,3,1,2,4] => [4,2,1,3,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,3,1,4,2] => [2,4,1,3,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,3,2,1,4] => [4,1,2,3,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,3,2,4,1] => [1,4,2,3,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,3,4,1,2] => [2,1,4,3,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,3,4,2,1] => [1,2,4,3,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,4,1,2,3] => [3,2,1,4,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,4,1,3,2] => [2,3,1,4,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,4,2,1,3] => [3,1,2,4,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,4,2,3,1] => [1,3,2,4,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,4,3,1,2] => [2,1,3,4,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,4,3,2,1] => [1,2,3,4,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,1,2,2,4] => [4,2,2,1,3,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,3,1,2,4,2] => [2,4,2,1,3,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,3,1,4,2,2] => [2,2,4,1,3,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,3,2,1,2,4] => [4,2,1,2,3,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,3,2,1,4,2] => [2,4,1,2,3,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,3,2,2,1,4] => [4,1,2,2,3,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,3,2,2,4,1] => [1,4,2,2,3,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,3,2,4,1,2] => [2,1,4,2,3,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,3,2,4,2,1] => [1,2,4,2,3,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,3,4,1,2,2] => [2,2,1,4,3,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,3,4,2,1,2] => [2,1,2,4,3,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,3,4,2,2,1] => [1,2,2,4,3,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,4,1,2,2,3] => [3,2,2,1,4,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,4,1,2,3,2] => [2,3,2,1,4,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,4,1,3,2,2] => [2,2,3,1,4,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,4,2,1,2,3] => [3,2,1,2,4,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,4,2,1,3,2] => [2,3,1,2,4,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,4,2,2,1,3] => [3,1,2,2,4,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,4,2,2,3,1] => [1,3,2,2,4,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,4,2,3,1,2] => [2,1,3,2,4,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,4,2,3,2,1] => [1,2,3,2,4,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,4,3,1,2,2] => [2,2,1,3,4,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,4,3,2,1,2] => [2,1,2,3,4,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,4,3,2,2,1] => [1,2,2,3,4,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,3,4] => [4,3,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,4,3] => [3,4,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,3,2,4] => [4,2,3,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,3,4,2] => [2,4,3,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,4,2,3] => [3,2,4,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,4,3,2] => [2,3,4,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,3,4] => [4,3,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,4,3] => [3,4,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,3,1,4] => [4,1,3,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,3,4,1] => [1,4,3,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,4,1,3] => [3,1,4,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,4,3,1] => [1,3,4,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,3,1,2,4] => [4,2,1,3,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,3,1,4,2] => [2,4,1,3,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,3,2,1,4] => [4,1,2,3,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,3,2,4,1] => [1,4,2,3,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,3,4,1,2] => [2,1,4,3,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,3,4,2,1] => [1,2,4,3,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,4,1,2,3] => [3,2,1,4,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,4,1,3,2] => [2,3,1,4,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,4,2,1,3] => [3,1,2,4,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,4,2,3,1] => [1,3,2,4,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,4,3,1,2] => [2,1,3,4,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,4,3,2,1] => [1,2,3,4,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,3,4] => [4,3,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,4,3] => [3,4,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,3,1,4] => [4,1,3,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,3,4,1] => [1,4,3,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,4,1,3] => [3,1,4,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,4,3,1] => [1,3,4,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,1,1,4] => [4,1,1,3,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,3,1,4,1] => [1,4,1,3,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,3,4,1,1] => [1,1,4,3,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,4,1,1,3] => [3,1,1,4,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,4,1,3,1] => [1,3,1,4,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,4,3,1,1] => [1,1,3,4,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,3,1,1,2,4] => [4,2,1,1,3,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,3,1,1,4,2] => [2,4,1,1,3,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,3,1,2,1,4] => [4,1,2,1,3,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,3,1,2,4,1] => [1,4,2,1,3,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,3,1,4,1,2] => [2,1,4,1,3,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,3,1,4,2,1] => [1,2,4,1,3,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,3,2,1,1,4] => [4,1,1,2,3,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,3,2,1,4,1] => [1,4,1,2,3,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,3,2,4,1,1] => [1,1,4,2,3,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,3,4,1,1,2] => [2,1,1,4,3,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,3,4,1,2,1] => [1,2,1,4,3,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,3,4,2,1,1] => [1,1,2,4,3,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,4,1,1,2,3] => [3,2,1,1,4,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,4,1,1,3,2] => [2,3,1,1,4,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,4,1,2,1,3] => [3,1,2,1,4,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,4,1,2,3,1] => [1,3,2,1,4,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,4,1,3,1,2] => [2,1,3,1,4,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,4,1,3,2,1] => [1,2,3,1,4,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,4,2,1,1,3] => [3,1,1,2,4,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,4,2,1,3,1] => [1,3,1,2,4,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,4,2,3,1,1] => [1,1,3,2,4,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,4,3,1,1,2] => [2,1,1,3,4,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,4,3,1,2,1] => [1,2,1,3,4,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,4,3,2,1,1] => [1,1,2,3,4,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[3,1,1,2,2,4] => [4,2,2,1,1,3] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,1,1,2,4,2] => [2,4,2,1,1,3] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,1,1,4,2,2] => [2,2,4,1,1,3] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,1,2,1,2,4] => [4,2,1,2,1,3] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,1,2,1,4,2] => [2,4,1,2,1,3] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,1,2,2,1,4] => [4,1,2,2,1,3] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,1,2,2,4,1] => [1,4,2,2,1,3] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,1,2,4,1,2] => [2,1,4,2,1,3] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,1,2,4,2,1] => [1,2,4,2,1,3] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,1,4,1,2,2] => [2,2,1,4,1,3] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,1,4,2,1,2] => [2,1,2,4,1,3] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,1,4,2,2,1] => [1,2,2,4,1,3] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,1,1,2,4] => [4,2,1,1,2,3] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,2,1,1,4,2] => [2,4,1,1,2,3] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,2,1,2,1,4] => [4,1,2,1,2,3] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,2,1,2,4,1] => [1,4,2,1,2,3] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,2,1,4,1,2] => [2,1,4,1,2,3] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,2,1,4,2,1] => [1,2,4,1,2,3] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,2,2,1,1,4] => [4,1,1,2,2,3] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,2,2,1,4,1] => [1,4,1,2,2,3] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,2,2,4,1,1] => [1,1,4,2,2,3] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,2,4,1,1,2] => [2,1,1,4,2,3] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,4,1,2,1] => [1,2,1,4,2,3] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,2,4,2,1,1] => [1,1,2,4,2,3] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,4,1,1,2,2] => [2,2,1,1,4,3] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[3,4,1,2,1,2] => [2,1,2,1,4,3] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,4,1,2,2,1] => [1,2,2,1,4,3] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,4,2,1,1,2] => [2,1,1,2,4,3] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,4,2,1,2,1] => [1,2,1,2,4,3] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,4,2,2,1,1] => [1,1,2,2,4,3] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[4,1,1,2,2,3] => [3,2,2,1,1,4] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[4,1,1,2,3,2] => [2,3,2,1,1,4] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[4,1,1,3,2,2] => [2,2,3,1,1,4] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[4,1,2,1,2,3] => [3,2,1,2,1,4] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[4,1,2,1,3,2] => [2,3,1,2,1,4] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[4,1,2,2,1,3] => [3,1,2,2,1,4] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[4,1,2,2,3,1] => [1,3,2,2,1,4] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[4,1,2,3,1,2] => [2,1,3,2,1,4] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[4,1,2,3,2,1] => [1,2,3,2,1,4] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[4,1,3,1,2,2] => [2,2,1,3,1,4] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[4,1,3,2,1,2] => [2,1,2,3,1,4] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[4,1,3,2,2,1] => [1,2,2,3,1,4] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[4,2,1,1,2,3] => [3,2,1,1,2,4] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[4,2,1,1,3,2] => [2,3,1,1,2,4] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[4,2,1,2,1,3] => [3,1,2,1,2,4] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[4,2,1,2,3,1] => [1,3,2,1,2,4] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[4,2,1,3,1,2] => [2,1,3,1,2,4] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[4,2,1,3,2,1] => [1,2,3,1,2,4] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[4,2,2,1,1,3] => [3,1,1,2,2,4] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[4,2,2,1,3,1] => [1,3,1,2,2,4] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[4,2,2,3,1,1] => [1,1,3,2,2,4] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[4,2,3,1,1,2] => [2,1,1,3,2,4] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[4,2,3,1,2,1] => [1,2,1,3,2,4] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[4,2,3,2,1,1] => [1,1,2,3,2,4] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[4,3,1,1,2,2] => [2,2,1,1,3,4] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[4,3,1,2,1,2] => [2,1,2,1,3,4] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[4,3,1,2,2,1] => [1,2,2,1,3,4] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[4,3,2,1,1,2] => [2,1,1,2,3,4] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[4,3,2,1,2,1] => [1,2,1,2,3,4] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[4,3,2,2,1,1] => [1,1,2,2,3,4] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,2,3,5] => [5,3,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,5,3] => [3,5,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,3,2,5] => [5,2,3,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,3,5,2] => [2,5,3,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,5,2,3] => [3,2,5,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,5,3,2] => [2,3,5,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,2,2,5] => [5,2,2,3,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,3,2,5,2] => [2,5,2,3,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,3,5,2,2] => [2,2,5,3,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,5,2,2,3] => [3,2,2,5,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,5,2,3,2] => [2,3,2,5,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,3,2,2] => [2,2,3,5,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,3,5] => [5,3,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,5,3] => [3,5,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,3,2,5] => [5,2,3,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,3,5,2] => [2,5,3,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,5,2,3] => [3,2,5,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,5,3,2] => [2,3,5,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,3,5] => [5,3,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,5,3] => [3,5,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,3,1,5] => [5,1,3,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,3,5,1] => [1,5,3,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,5,1,3] => [3,1,5,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,5,3,1] => [1,3,5,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,3,1,2,5] => [5,2,1,3,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,3,1,5,2] => [2,5,1,3,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,3,2,1,5] => [5,1,2,3,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,3,2,5,1] => [1,5,2,3,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,3,5,1,2] => [2,1,5,3,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,3,5,2,1] => [1,2,5,3,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,5,1,2,3] => [3,2,1,5,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,5,1,3,2] => [2,3,1,5,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,5,2,1,3] => [3,1,2,5,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,5,2,3,1] => [1,3,2,5,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,5,3,1,2] => [2,1,3,5,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,5,3,2,1] => [1,2,3,5,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,1,2,2,5] => [5,2,2,1,3,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,3,1,2,5,2] => [2,5,2,1,3,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,3,1,5,2,2] => [2,2,5,1,3,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,3,2,1,2,5] => [5,2,1,2,3,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,3,2,1,5,2] => [2,5,1,2,3,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,3,2,2,1,5] => [5,1,2,2,3,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,3,2,2,5,1] => [1,5,2,2,3,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,3,2,5,1,2] => [2,1,5,2,3,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,3,2,5,2,1] => [1,2,5,2,3,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,3,5,1,2,2] => [2,2,1,5,3,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,3,5,2,1,2] => [2,1,2,5,3,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,3,5,2,2,1] => [1,2,2,5,3,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,5,1,2,2,3] => [3,2,2,1,5,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,1,2,3,2] => [2,3,2,1,5,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,3,2,2] => [2,2,3,1,5,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,2,1,2,3] => [3,2,1,2,5,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,2,1,3,2] => [2,3,1,2,5,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,2,2,1,3] => [3,1,2,2,5,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,2,2,3,1] => [1,3,2,2,5,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,5,2,3,1,2] => [2,1,3,2,5,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,2,3,2,1] => [1,2,3,2,5,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,3,1,2,2] => [2,2,1,3,5,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,3,2,1,2] => [2,1,2,3,5,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,3,2,2,1] => [1,2,2,3,5,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,3,5] => [5,3,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,5,3] => [3,5,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,3,2,5] => [5,2,3,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,3,5,2] => [2,5,3,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,5,2,3] => [3,2,5,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,5,3,2] => [2,3,5,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,3,5] => [5,3,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,5,3] => [3,5,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,3,1,5] => [5,1,3,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,3,5,1] => [1,5,3,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,5,1,3] => [3,1,5,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,5,3,1] => [1,3,5,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,3,1,2,5] => [5,2,1,3,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,3,1,5,2] => [2,5,1,3,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,3,2,1,5] => [5,1,2,3,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,3,2,5,1] => [1,5,2,3,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,3,5,1,2] => [2,1,5,3,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,3,5,2,1] => [1,2,5,3,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,5,1,2,3] => [3,2,1,5,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,5,1,3,2] => [2,3,1,5,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,5,2,1,3] => [3,1,2,5,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,5,2,3,1] => [1,3,2,5,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,5,3,1,2] => [2,1,3,5,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,5,3,2,1] => [1,2,3,5,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,3,5] => [5,3,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,5,3] => [3,5,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,3,1,5] => [5,1,3,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,3,5,1] => [1,5,3,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,5,1,3] => [3,1,5,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,5,3,1] => [1,3,5,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,1,1,5] => [5,1,1,3,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,3,1,5,1] => [1,5,1,3,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,3,5,1,1] => [1,1,5,3,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,5,1,1,3] => [3,1,1,5,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,5,1,3,1] => [1,3,1,5,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,5,3,1,1] => [1,1,3,5,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,3,1,1,2,5] => [5,2,1,1,3,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,3,1,1,5,2] => [2,5,1,1,3,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,3,1,2,1,5] => [5,1,2,1,3,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,3,1,2,5,1] => [1,5,2,1,3,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,3,1,5,1,2] => [2,1,5,1,3,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,3,1,5,2,1] => [1,2,5,1,3,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,3,2,1,1,5] => [5,1,1,2,3,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,3,2,1,5,1] => [1,5,1,2,3,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,3,2,5,1,1] => [1,1,5,2,3,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,3,5,1,1,2] => [2,1,1,5,3,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,3,5,1,2,1] => [1,2,1,5,3,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,3,5,2,1,1] => [1,1,2,5,3,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,5,1,1,2,3] => [3,2,1,1,5,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,5,1,1,3,2] => [2,3,1,1,5,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,5,1,2,1,3] => [3,1,2,1,5,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,5,1,2,3,1] => [1,3,2,1,5,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,5,1,3,1,2] => [2,1,3,1,5,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,5,1,3,2,1] => [1,2,3,1,5,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,5,2,1,1,3] => [3,1,1,2,5,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,5,2,1,3,1] => [1,3,1,2,5,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,5,2,3,1,1] => [1,1,3,2,5,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,5,3,1,1,2] => [2,1,1,3,5,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,5,3,1,2,1] => [1,2,1,3,5,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,5,3,2,1,1] => [1,1,2,3,5,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[3,1,1,2,2,5] => [5,2,2,1,1,3] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,1,1,2,5,2] => [2,5,2,1,1,3] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,1,1,5,2,2] => [2,2,5,1,1,3] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,1,2,1,2,5] => [5,2,1,2,1,3] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,1,2,1,5,2] => [2,5,1,2,1,3] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,1,2,2,1,5] => [5,1,2,2,1,3] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,1,2,2,5,1] => [1,5,2,2,1,3] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,1,2,5,1,2] => [2,1,5,2,1,3] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,1,2,5,2,1] => [1,2,5,2,1,3] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,1,5,1,2,2] => [2,2,1,5,1,3] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,1,5,2,1,2] => [2,1,2,5,1,3] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,1,5,2,2,1] => [1,2,2,5,1,3] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,1,1,2,5] => [5,2,1,1,2,3] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,2,1,1,5,2] => [2,5,1,1,2,3] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,2,1,2,1,5] => [5,1,2,1,2,3] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,2,1,2,5,1] => [1,5,2,1,2,3] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,2,1,5,1,2] => [2,1,5,1,2,3] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,2,1,5,2,1] => [1,2,5,1,2,3] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,2,2,1,1,5] => [5,1,1,2,2,3] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,2,2,1,5,1] => [1,5,1,2,2,3] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,2,2,5,1,1] => [1,1,5,2,2,3] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,2,5,1,1,2] => [2,1,1,5,2,3] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,5,1,2,1] => [1,2,1,5,2,3] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,2,5,2,1,1] => [1,1,2,5,2,3] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,5,1,1,2,2] => [2,2,1,1,5,3] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[3,5,1,2,1,2] => [2,1,2,1,5,3] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,5,1,2,2,1] => [1,2,2,1,5,3] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,5,2,1,1,2] => [2,1,1,2,5,3] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,5,2,1,2,1] => [1,2,1,2,5,3] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,5,2,2,1,1] => [1,1,2,2,5,3] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[5,1,1,2,2,3] => [3,2,2,1,1,5] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,1,2,3,2] => [2,3,2,1,1,5] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,3,2,2] => [2,2,3,1,1,5] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,2,1,2,3] => [3,2,1,2,1,5] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,2,1,3,2] => [2,3,1,2,1,5] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,2,2,1,3] => [3,1,2,2,1,5] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,2,2,3,1] => [1,3,2,2,1,5] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,1,2,3,1,2] => [2,1,3,2,1,5] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,2,3,2,1] => [1,2,3,2,1,5] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,3,1,2,2] => [2,2,1,3,1,5] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,3,2,1,2] => [2,1,2,3,1,5] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,3,2,2,1] => [1,2,2,3,1,5] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,1,1,2,3] => [3,2,1,1,2,5] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,2,1,1,3,2] => [2,3,1,1,2,5] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,1,2,1,3] => [3,1,2,1,2,5] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,2,1,2,3,1] => [1,3,2,1,2,5] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,2,1,3,1,2] => [2,1,3,1,2,5] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,2,1,3,2,1] => [1,2,3,1,2,5] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,2,2,1,1,3] => [3,1,1,2,2,5] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,2,2,1,3,1] => [1,3,1,2,2,5] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,2,2,3,1,1] => [1,1,3,2,2,5] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,2,3,1,1,2] => [2,1,1,3,2,5] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,3,1,2,1] => [1,2,1,3,2,5] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,2,3,2,1,1] => [1,1,2,3,2,5] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,3,1,1,2,2] => [2,2,1,1,3,5] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[5,3,1,2,1,2] => [2,1,2,1,3,5] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,3,1,2,2,1] => [1,2,2,1,3,5] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,3,2,1,1,2] => [2,1,1,2,3,5] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,3,2,1,2,1] => [1,2,1,2,3,5] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,3,2,2,1,1] => [1,1,2,2,3,5] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,2,3,6] => [6,3,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,6,3] => [3,6,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,3,2,6] => [6,2,3,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,3,6,2] => [2,6,3,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,6,2,3] => [3,2,6,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,6,3,2] => [2,3,6,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,2,2,6] => [6,2,2,3,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,3,2,6,2] => [2,6,2,3,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,3,6,2,2] => [2,2,6,3,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,6,2,2,3] => [3,2,2,6,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,6,2,3,2] => [2,3,2,6,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,3,2,2] => [2,2,3,6,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,3,6] => [6,3,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,6,3] => [3,6,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,3,2,6] => [6,2,3,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,3,6,2] => [2,6,3,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,6,2,3] => [3,2,6,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,6,3,2] => [2,3,6,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,3,6] => [6,3,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,6,3] => [3,6,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,3,1,6] => [6,1,3,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,3,6,1] => [1,6,3,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,6,1,3] => [3,1,6,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,6,3,1] => [1,3,6,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,3,1,2,6] => [6,2,1,3,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,3,1,6,2] => [2,6,1,3,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,3,2,1,6] => [6,1,2,3,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,3,2,6,1] => [1,6,2,3,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,3,6,1,2] => [2,1,6,3,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,3,6,2,1] => [1,2,6,3,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,6,1,2,3] => [3,2,1,6,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,6,1,3,2] => [2,3,1,6,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,6,2,1,3] => [3,1,2,6,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,6,2,3,1] => [1,3,2,6,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,6,3,1,2] => [2,1,3,6,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,6,3,2,1] => [1,2,3,6,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,1,2,2,6] => [6,2,2,1,3,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,3,1,2,6,2] => [2,6,2,1,3,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,3,1,6,2,2] => [2,2,6,1,3,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,3,2,1,2,6] => [6,2,1,2,3,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,3,2,1,6,2] => [2,6,1,2,3,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,3,2,2,1,6] => [6,1,2,2,3,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,3,2,2,6,1] => [1,6,2,2,3,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,3,2,6,1,2] => [2,1,6,2,3,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,3,2,6,2,1] => [1,2,6,2,3,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,3,6,1,2,2] => [2,2,1,6,3,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,3,6,2,1,2] => [2,1,2,6,3,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,3,6,2,2,1] => [1,2,2,6,3,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,6,1,2,2,3] => [3,2,2,1,6,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,1,2,3,2] => [2,3,2,1,6,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,3,2,2] => [2,2,3,1,6,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,2,1,2,3] => [3,2,1,2,6,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,2,1,3,2] => [2,3,1,2,6,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,2,2,1,3] => [3,1,2,2,6,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,2,2,3,1] => [1,3,2,2,6,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,6,2,3,1,2] => [2,1,3,2,6,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,2,3,2,1] => [1,2,3,2,6,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,3,1,2,2] => [2,2,1,3,6,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,3,2,1,2] => [2,1,2,3,6,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,3,2,2,1] => [1,2,2,3,6,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,3,6] => [6,3,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,6,3] => [3,6,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,3,2,6] => [6,2,3,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,3,6,2] => [2,6,3,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,6,2,3] => [3,2,6,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,6,3,2] => [2,3,6,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,3,6] => [6,3,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,6,3] => [3,6,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,3,1,6] => [6,1,3,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,3,6,1] => [1,6,3,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,6,1,3] => [3,1,6,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,6,3,1] => [1,3,6,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,3,1,2,6] => [6,2,1,3,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,3,1,6,2] => [2,6,1,3,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,3,2,1,6] => [6,1,2,3,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,3,2,6,1] => [1,6,2,3,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,3,6,1,2] => [2,1,6,3,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,3,6,2,1] => [1,2,6,3,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,6,1,2,3] => [3,2,1,6,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,6,1,3,2] => [2,3,1,6,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,6,2,1,3] => [3,1,2,6,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,6,2,3,1] => [1,3,2,6,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,6,3,1,2] => [2,1,3,6,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,6,3,2,1] => [1,2,3,6,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,3,6] => [6,3,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,6,3] => [3,6,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,3,1,6] => [6,1,3,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,3,6,1] => [1,6,3,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,6,1,3] => [3,1,6,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,6,3,1] => [1,3,6,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,1,1,6] => [6,1,1,3,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,3,1,6,1] => [1,6,1,3,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,3,6,1,1] => [1,1,6,3,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,6,1,1,3] => [3,1,1,6,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,6,1,3,1] => [1,3,1,6,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,6,3,1,1] => [1,1,3,6,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,3,1,1,2,6] => [6,2,1,1,3,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,3,1,1,6,2] => [2,6,1,1,3,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,3,1,2,1,6] => [6,1,2,1,3,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,3,1,2,6,1] => [1,6,2,1,3,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,3,1,6,1,2] => [2,1,6,1,3,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,3,1,6,2,1] => [1,2,6,1,3,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,3,2,1,1,6] => [6,1,1,2,3,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,3,2,1,6,1] => [1,6,1,2,3,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,3,2,6,1,1] => [1,1,6,2,3,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,3,6,1,1,2] => [2,1,1,6,3,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,3,6,1,2,1] => [1,2,1,6,3,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,3,6,2,1,1] => [1,1,2,6,3,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,6,1,1,2,3] => [3,2,1,1,6,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,6,1,1,3,2] => [2,3,1,1,6,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,6,1,2,1,3] => [3,1,2,1,6,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,6,1,2,3,1] => [1,3,2,1,6,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,6,1,3,1,2] => [2,1,3,1,6,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,6,1,3,2,1] => [1,2,3,1,6,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,6,2,1,1,3] => [3,1,1,2,6,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,6,2,1,3,1] => [1,3,1,2,6,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,6,2,3,1,1] => [1,1,3,2,6,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,6,3,1,1,2] => [2,1,1,3,6,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,6,3,1,2,1] => [1,2,1,3,6,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,6,3,2,1,1] => [1,1,2,3,6,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[3,1,1,2,2,6] => [6,2,2,1,1,3] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,1,1,2,6,2] => [2,6,2,1,1,3] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,1,1,6,2,2] => [2,2,6,1,1,3] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,1,2,1,2,6] => [6,2,1,2,1,3] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,1,2,1,6,2] => [2,6,1,2,1,3] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,1,2,2,1,6] => [6,1,2,2,1,3] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,1,2,2,6,1] => [1,6,2,2,1,3] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,1,2,6,1,2] => [2,1,6,2,1,3] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,1,2,6,2,1] => [1,2,6,2,1,3] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,1,6,1,2,2] => [2,2,1,6,1,3] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,1,6,2,1,2] => [2,1,2,6,1,3] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,1,6,2,2,1] => [1,2,2,6,1,3] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,1,1,2,6] => [6,2,1,1,2,3] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[3,2,1,1,6,2] => [2,6,1,1,2,3] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[3,2,1,2,1,6] => [6,1,2,1,2,3] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[3,2,1,2,6,1] => [1,6,2,1,2,3] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[3,2,1,6,1,2] => [2,1,6,1,2,3] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[3,2,1,6,2,1] => [1,2,6,1,2,3] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[3,2,2,1,1,6] => [6,1,1,2,2,3] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[3,2,2,1,6,1] => [1,6,1,2,2,3] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[3,2,2,6,1,1] => [1,1,6,2,2,3] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[3,2,6,1,1,2] => [2,1,1,6,2,3] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[3,2,6,1,2,1] => [1,2,1,6,2,3] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[3,2,6,2,1,1] => [1,1,2,6,2,3] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[3,6,1,1,2,2] => [2,2,1,1,6,3] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[3,6,1,2,1,2] => [2,1,2,1,6,3] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,6,1,2,2,1] => [1,2,2,1,6,3] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,6,2,1,1,2] => [2,1,1,2,6,3] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[3,6,2,1,2,1] => [1,2,1,2,6,3] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[3,6,2,2,1,1] => [1,1,2,2,6,3] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[6,1,1,2,2,3] => [3,2,2,1,1,6] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,1,2,3,2] => [2,3,2,1,1,6] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,3,2,2] => [2,2,3,1,1,6] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,2,1,2,3] => [3,2,1,2,1,6] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,2,1,3,2] => [2,3,1,2,1,6] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,2,2,1,3] => [3,1,2,2,1,6] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,2,2,3,1] => [1,3,2,2,1,6] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,1,2,3,1,2] => [2,1,3,2,1,6] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,2,3,2,1] => [1,2,3,2,1,6] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,3,1,2,2] => [2,2,1,3,1,6] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,3,2,1,2] => [2,1,2,3,1,6] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,3,2,2,1] => [1,2,2,3,1,6] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,1,1,2,3] => [3,2,1,1,2,6] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,2,1,1,3,2] => [2,3,1,1,2,6] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,1,2,1,3] => [3,1,2,1,2,6] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,2,1,2,3,1] => [1,3,2,1,2,6] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,2,1,3,1,2] => [2,1,3,1,2,6] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,2,1,3,2,1] => [1,2,3,1,2,6] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,2,2,1,1,3] => [3,1,1,2,2,6] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,2,2,1,3,1] => [1,3,1,2,2,6] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,2,2,3,1,1] => [1,1,3,2,2,6] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,2,3,1,1,2] => [2,1,1,3,2,6] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,3,1,2,1] => [1,2,1,3,2,6] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,2,3,2,1,1] => [1,1,2,3,2,6] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,3,1,1,2,2] => [2,2,1,1,3,6] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[6,3,1,2,1,2] => [2,1,2,1,3,6] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,3,1,2,2,1] => [1,2,2,1,3,6] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,3,2,1,1,2] => [2,1,1,2,3,6] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,3,2,1,2,1] => [1,2,1,2,3,6] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,3,2,2,1,1] => [1,1,2,2,3,6] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,2,4,4] => [4,4,2,2,1,1] => [{5,6},{3,4},{1,2}] => {{1,2},{3,4},{5,6}}
[1,1,2,4,2,4] => [4,2,4,2,1,1] => [{5,6},{2,4},{1,3}] => {{1,3},{2,4},{5,6}}
[1,1,2,4,4,2] => [2,4,4,2,1,1] => [{5,6},{1,4},{2,3}] => {{1,4},{2,3},{5,6}}
[1,1,4,2,2,4] => [4,2,2,4,1,1] => [{5,6},{2,3},{1,4}] => {{1,4},{2,3},{5,6}}
[1,1,4,2,4,2] => [2,4,2,4,1,1] => [{5,6},{1,3},{2,4}] => {{1,3},{2,4},{5,6}}
[1,1,4,4,2,2] => [2,2,4,4,1,1] => [{5,6},{1,2},{3,4}] => {{1,2},{3,4},{5,6}}
[1,2,1,2,4,4] => [4,4,2,1,2,1] => [{4,6},{3,5},{1,2}] => {{1,2},{3,5},{4,6}}
[1,2,1,4,2,4] => [4,2,4,1,2,1] => [{4,6},{2,5},{1,3}] => {{1,3},{2,5},{4,6}}
[1,2,1,4,4,2] => [2,4,4,1,2,1] => [{4,6},{1,5},{2,3}] => {{1,5},{2,3},{4,6}}
[1,2,2,1,4,4] => [4,4,1,2,2,1] => [{3,6},{4,5},{1,2}] => {{1,2},{3,6},{4,5}}
[1,2,2,4,1,4] => [4,1,4,2,2,1] => [{2,6},{4,5},{1,3}] => {{1,3},{2,6},{4,5}}
[1,2,2,4,4,1] => [1,4,4,2,2,1] => [{1,6},{4,5},{2,3}] => {{1,6},{2,3},{4,5}}
[1,2,4,1,2,4] => [4,2,1,4,2,1] => [{3,6},{2,5},{1,4}] => {{1,4},{2,5},{3,6}}
[1,2,4,1,4,2] => [2,4,1,4,2,1] => [{3,6},{1,5},{2,4}] => {{1,5},{2,4},{3,6}}
[1,2,4,2,1,4] => [4,1,2,4,2,1] => [{2,6},{3,5},{1,4}] => {{1,4},{2,6},{3,5}}
[1,2,4,2,4,1] => [1,4,2,4,2,1] => [{1,6},{3,5},{2,4}] => {{1,6},{2,4},{3,5}}
[1,2,4,4,1,2] => [2,1,4,4,2,1] => [{2,6},{1,5},{3,4}] => {{1,5},{2,6},{3,4}}
[1,2,4,4,2,1] => [1,2,4,4,2,1] => [{1,6},{2,5},{3,4}] => {{1,6},{2,5},{3,4}}
[1,4,1,2,2,4] => [4,2,2,1,4,1] => [{4,6},{2,3},{1,5}] => {{1,5},{2,3},{4,6}}
[1,4,1,2,4,2] => [2,4,2,1,4,1] => [{4,6},{1,3},{2,5}] => {{1,3},{2,5},{4,6}}
[1,4,1,4,2,2] => [2,2,4,1,4,1] => [{4,6},{1,2},{3,5}] => {{1,2},{3,5},{4,6}}
[1,4,2,1,2,4] => [4,2,1,2,4,1] => [{3,6},{2,4},{1,5}] => {{1,5},{2,4},{3,6}}
[1,4,2,1,4,2] => [2,4,1,2,4,1] => [{3,6},{1,4},{2,5}] => {{1,4},{2,5},{3,6}}
[1,4,2,2,1,4] => [4,1,2,2,4,1] => [{2,6},{3,4},{1,5}] => {{1,5},{2,6},{3,4}}
[1,4,2,2,4,1] => [1,4,2,2,4,1] => [{1,6},{3,4},{2,5}] => {{1,6},{2,5},{3,4}}
[1,4,2,4,1,2] => [2,1,4,2,4,1] => [{2,6},{1,4},{3,5}] => {{1,4},{2,6},{3,5}}
[1,4,2,4,2,1] => [1,2,4,2,4,1] => [{1,6},{2,4},{3,5}] => {{1,6},{2,4},{3,5}}
[1,4,4,1,2,2] => [2,2,1,4,4,1] => [{3,6},{1,2},{4,5}] => {{1,2},{3,6},{4,5}}
[1,4,4,2,1,2] => [2,1,2,4,4,1] => [{2,6},{1,3},{4,5}] => {{1,3},{2,6},{4,5}}
[1,4,4,2,2,1] => [1,2,2,4,4,1] => [{1,6},{2,3},{4,5}] => {{1,6},{2,3},{4,5}}
[2,1,1,2,4,4] => [4,4,2,1,1,2] => [{4,5},{3,6},{1,2}] => {{1,2},{3,6},{4,5}}
[2,1,1,4,2,4] => [4,2,4,1,1,2] => [{4,5},{2,6},{1,3}] => {{1,3},{2,6},{4,5}}
[2,1,1,4,4,2] => [2,4,4,1,1,2] => [{4,5},{1,6},{2,3}] => {{1,6},{2,3},{4,5}}
[2,1,2,1,4,4] => [4,4,1,2,1,2] => [{3,5},{4,6},{1,2}] => {{1,2},{3,5},{4,6}}
[2,1,2,4,1,4] => [4,1,4,2,1,2] => [{2,5},{4,6},{1,3}] => {{1,3},{2,5},{4,6}}
[2,1,2,4,4,1] => [1,4,4,2,1,2] => [{1,5},{4,6},{2,3}] => {{1,5},{2,3},{4,6}}
[2,1,4,1,2,4] => [4,2,1,4,1,2] => [{3,5},{2,6},{1,4}] => {{1,4},{2,6},{3,5}}
[2,1,4,1,4,2] => [2,4,1,4,1,2] => [{3,5},{1,6},{2,4}] => {{1,6},{2,4},{3,5}}
[2,1,4,2,1,4] => [4,1,2,4,1,2] => [{2,5},{3,6},{1,4}] => {{1,4},{2,5},{3,6}}
[2,1,4,2,4,1] => [1,4,2,4,1,2] => [{1,5},{3,6},{2,4}] => {{1,5},{2,4},{3,6}}
[2,1,4,4,1,2] => [2,1,4,4,1,2] => [{2,5},{1,6},{3,4}] => {{1,6},{2,5},{3,4}}
[2,1,4,4,2,1] => [1,2,4,4,1,2] => [{1,5},{2,6},{3,4}] => {{1,5},{2,6},{3,4}}
[2,2,1,1,4,4] => [4,4,1,1,2,2] => [{3,4},{5,6},{1,2}] => {{1,2},{3,4},{5,6}}
[2,2,1,4,1,4] => [4,1,4,1,2,2] => [{2,4},{5,6},{1,3}] => {{1,3},{2,4},{5,6}}
[2,2,1,4,4,1] => [1,4,4,1,2,2] => [{1,4},{5,6},{2,3}] => {{1,4},{2,3},{5,6}}
[2,2,4,1,1,4] => [4,1,1,4,2,2] => [{2,3},{5,6},{1,4}] => {{1,4},{2,3},{5,6}}
[2,2,4,1,4,1] => [1,4,1,4,2,2] => [{1,3},{5,6},{2,4}] => {{1,3},{2,4},{5,6}}
[2,2,4,4,1,1] => [1,1,4,4,2,2] => [{1,2},{5,6},{3,4}] => {{1,2},{3,4},{5,6}}
[2,4,1,1,2,4] => [4,2,1,1,4,2] => [{3,4},{2,6},{1,5}] => {{1,5},{2,6},{3,4}}
[2,4,1,1,4,2] => [2,4,1,1,4,2] => [{3,4},{1,6},{2,5}] => {{1,6},{2,5},{3,4}}
[2,4,1,2,1,4] => [4,1,2,1,4,2] => [{2,4},{3,6},{1,5}] => {{1,5},{2,4},{3,6}}
[2,4,1,2,4,1] => [1,4,2,1,4,2] => [{1,4},{3,6},{2,5}] => {{1,4},{2,5},{3,6}}
[2,4,1,4,1,2] => [2,1,4,1,4,2] => [{2,4},{1,6},{3,5}] => {{1,6},{2,4},{3,5}}
[2,4,1,4,2,1] => [1,2,4,1,4,2] => [{1,4},{2,6},{3,5}] => {{1,4},{2,6},{3,5}}
[2,4,2,1,1,4] => [4,1,1,2,4,2] => [{2,3},{4,6},{1,5}] => {{1,5},{2,3},{4,6}}
[2,4,2,1,4,1] => [1,4,1,2,4,2] => [{1,3},{4,6},{2,5}] => {{1,3},{2,5},{4,6}}
[2,4,2,4,1,1] => [1,1,4,2,4,2] => [{1,2},{4,6},{3,5}] => {{1,2},{3,5},{4,6}}
[2,4,4,1,1,2] => [2,1,1,4,4,2] => [{2,3},{1,6},{4,5}] => {{1,6},{2,3},{4,5}}
[2,4,4,1,2,1] => [1,2,1,4,4,2] => [{1,3},{2,6},{4,5}] => {{1,3},{2,6},{4,5}}
[2,4,4,2,1,1] => [1,1,2,4,4,2] => [{1,2},{3,6},{4,5}] => {{1,2},{3,6},{4,5}}
[4,1,1,2,2,4] => [4,2,2,1,1,4] => [{4,5},{2,3},{1,6}] => {{1,6},{2,3},{4,5}}
[4,1,1,2,4,2] => [2,4,2,1,1,4] => [{4,5},{1,3},{2,6}] => {{1,3},{2,6},{4,5}}
[4,1,1,4,2,2] => [2,2,4,1,1,4] => [{4,5},{1,2},{3,6}] => {{1,2},{3,6},{4,5}}
[4,1,2,1,2,4] => [4,2,1,2,1,4] => [{3,5},{2,4},{1,6}] => {{1,6},{2,4},{3,5}}
[4,1,2,1,4,2] => [2,4,1,2,1,4] => [{3,5},{1,4},{2,6}] => {{1,4},{2,6},{3,5}}
[4,1,2,2,1,4] => [4,1,2,2,1,4] => [{2,5},{3,4},{1,6}] => {{1,6},{2,5},{3,4}}
[4,1,2,2,4,1] => [1,4,2,2,1,4] => [{1,5},{3,4},{2,6}] => {{1,5},{2,6},{3,4}}
[4,1,2,4,1,2] => [2,1,4,2,1,4] => [{2,5},{1,4},{3,6}] => {{1,4},{2,5},{3,6}}
[4,1,2,4,2,1] => [1,2,4,2,1,4] => [{1,5},{2,4},{3,6}] => {{1,5},{2,4},{3,6}}
[4,1,4,1,2,2] => [2,2,1,4,1,4] => [{3,5},{1,2},{4,6}] => {{1,2},{3,5},{4,6}}
[4,1,4,2,1,2] => [2,1,2,4,1,4] => [{2,5},{1,3},{4,6}] => {{1,3},{2,5},{4,6}}
[4,1,4,2,2,1] => [1,2,2,4,1,4] => [{1,5},{2,3},{4,6}] => {{1,5},{2,3},{4,6}}
[4,2,1,1,2,4] => [4,2,1,1,2,4] => [{3,4},{2,5},{1,6}] => {{1,6},{2,5},{3,4}}
[4,2,1,1,4,2] => [2,4,1,1,2,4] => [{3,4},{1,5},{2,6}] => {{1,5},{2,6},{3,4}}
[4,2,1,2,1,4] => [4,1,2,1,2,4] => [{2,4},{3,5},{1,6}] => {{1,6},{2,4},{3,5}}
[4,2,1,2,4,1] => [1,4,2,1,2,4] => [{1,4},{3,5},{2,6}] => {{1,4},{2,6},{3,5}}
[4,2,1,4,1,2] => [2,1,4,1,2,4] => [{2,4},{1,5},{3,6}] => {{1,5},{2,4},{3,6}}
[4,2,1,4,2,1] => [1,2,4,1,2,4] => [{1,4},{2,5},{3,6}] => {{1,4},{2,5},{3,6}}
[4,2,2,1,1,4] => [4,1,1,2,2,4] => [{2,3},{4,5},{1,6}] => {{1,6},{2,3},{4,5}}
[4,2,2,1,4,1] => [1,4,1,2,2,4] => [{1,3},{4,5},{2,6}] => {{1,3},{2,6},{4,5}}
[4,2,2,4,1,1] => [1,1,4,2,2,4] => [{1,2},{4,5},{3,6}] => {{1,2},{3,6},{4,5}}
[4,2,4,1,1,2] => [2,1,1,4,2,4] => [{2,3},{1,5},{4,6}] => {{1,5},{2,3},{4,6}}
[4,2,4,1,2,1] => [1,2,1,4,2,4] => [{1,3},{2,5},{4,6}] => {{1,3},{2,5},{4,6}}
[4,2,4,2,1,1] => [1,1,2,4,2,4] => [{1,2},{3,5},{4,6}] => {{1,2},{3,5},{4,6}}
[4,4,1,1,2,2] => [2,2,1,1,4,4] => [{3,4},{1,2},{5,6}] => {{1,2},{3,4},{5,6}}
[4,4,1,2,1,2] => [2,1,2,1,4,4] => [{2,4},{1,3},{5,6}] => {{1,3},{2,4},{5,6}}
[4,4,1,2,2,1] => [1,2,2,1,4,4] => [{1,4},{2,3},{5,6}] => {{1,4},{2,3},{5,6}}
[4,4,2,1,1,2] => [2,1,1,2,4,4] => [{2,3},{1,4},{5,6}] => {{1,4},{2,3},{5,6}}
[4,4,2,1,2,1] => [1,2,1,2,4,4] => [{1,3},{2,4},{5,6}] => {{1,3},{2,4},{5,6}}
[4,4,2,2,1,1] => [1,1,2,2,4,4] => [{1,2},{3,4},{5,6}] => {{1,2},{3,4},{5,6}}
[1,1,2,2,4,5] => [5,4,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,5,4] => [4,5,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,4,2,5] => [5,2,4,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,4,5,2] => [2,5,4,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,5,2,4] => [4,2,5,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,5,4,2] => [2,4,5,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,2,2,5] => [5,2,2,4,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,4,2,5,2] => [2,5,2,4,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,4,5,2,2] => [2,2,5,4,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,5,2,2,4] => [4,2,2,5,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,5,2,4,2] => [2,4,2,5,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,4,2,2] => [2,2,4,5,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,4,5] => [5,4,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,5,4] => [4,5,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,4,2,5] => [5,2,4,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,4,5,2] => [2,5,4,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,5,2,4] => [4,2,5,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,5,4,2] => [2,4,5,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,4,5] => [5,4,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,5,4] => [4,5,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,4,1,5] => [5,1,4,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,4,5,1] => [1,5,4,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,5,1,4] => [4,1,5,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,5,4,1] => [1,4,5,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,4,1,2,5] => [5,2,1,4,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,4,1,5,2] => [2,5,1,4,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,4,2,1,5] => [5,1,2,4,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,4,2,5,1] => [1,5,2,4,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,4,5,1,2] => [2,1,5,4,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,4,5,2,1] => [1,2,5,4,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,5,1,2,4] => [4,2,1,5,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,5,1,4,2] => [2,4,1,5,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,5,2,1,4] => [4,1,2,5,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,5,2,4,1] => [1,4,2,5,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,5,4,1,2] => [2,1,4,5,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,5,4,2,1] => [1,2,4,5,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,1,2,2,5] => [5,2,2,1,4,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,4,1,2,5,2] => [2,5,2,1,4,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,4,1,5,2,2] => [2,2,5,1,4,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,4,2,1,2,5] => [5,2,1,2,4,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,4,2,1,5,2] => [2,5,1,2,4,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,4,2,2,1,5] => [5,1,2,2,4,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,4,2,2,5,1] => [1,5,2,2,4,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,4,2,5,1,2] => [2,1,5,2,4,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,4,2,5,2,1] => [1,2,5,2,4,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,4,5,1,2,2] => [2,2,1,5,4,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,4,5,2,1,2] => [2,1,2,5,4,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,4,5,2,2,1] => [1,2,2,5,4,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,5,1,2,2,4] => [4,2,2,1,5,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,1,2,4,2] => [2,4,2,1,5,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,4,2,2] => [2,2,4,1,5,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,2,1,2,4] => [4,2,1,2,5,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,2,1,4,2] => [2,4,1,2,5,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,2,2,1,4] => [4,1,2,2,5,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,2,2,4,1] => [1,4,2,2,5,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,5,2,4,1,2] => [2,1,4,2,5,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,2,4,2,1] => [1,2,4,2,5,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,4,1,2,2] => [2,2,1,4,5,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,4,2,1,2] => [2,1,2,4,5,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,4,2,2,1] => [1,2,2,4,5,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,4,5] => [5,4,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,5,4] => [4,5,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,4,2,5] => [5,2,4,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,4,5,2] => [2,5,4,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,5,2,4] => [4,2,5,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,5,4,2] => [2,4,5,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,4,5] => [5,4,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,5,4] => [4,5,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,4,1,5] => [5,1,4,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,4,5,1] => [1,5,4,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,5,1,4] => [4,1,5,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,5,4,1] => [1,4,5,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,4,1,2,5] => [5,2,1,4,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,4,1,5,2] => [2,5,1,4,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,4,2,1,5] => [5,1,2,4,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,4,2,5,1] => [1,5,2,4,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,4,5,1,2] => [2,1,5,4,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,4,5,2,1] => [1,2,5,4,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,5,1,2,4] => [4,2,1,5,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,5,1,4,2] => [2,4,1,5,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,5,2,1,4] => [4,1,2,5,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,5,2,4,1] => [1,4,2,5,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,5,4,1,2] => [2,1,4,5,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,5,4,2,1] => [1,2,4,5,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,4,5] => [5,4,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,5,4] => [4,5,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,4,1,5] => [5,1,4,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,4,5,1] => [1,5,4,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,5,1,4] => [4,1,5,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,5,4,1] => [1,4,5,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,4,1,1,5] => [5,1,1,4,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,4,1,5,1] => [1,5,1,4,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,4,5,1,1] => [1,1,5,4,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,5,1,1,4] => [4,1,1,5,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,5,1,4,1] => [1,4,1,5,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,5,4,1,1] => [1,1,4,5,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,4,1,1,2,5] => [5,2,1,1,4,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,4,1,1,5,2] => [2,5,1,1,4,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,4,1,2,1,5] => [5,1,2,1,4,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,4,1,2,5,1] => [1,5,2,1,4,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,4,1,5,1,2] => [2,1,5,1,4,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,4,1,5,2,1] => [1,2,5,1,4,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,4,2,1,1,5] => [5,1,1,2,4,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,4,2,1,5,1] => [1,5,1,2,4,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,4,2,5,1,1] => [1,1,5,2,4,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,4,5,1,1,2] => [2,1,1,5,4,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,4,5,1,2,1] => [1,2,1,5,4,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,4,5,2,1,1] => [1,1,2,5,4,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,5,1,1,2,4] => [4,2,1,1,5,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,5,1,1,4,2] => [2,4,1,1,5,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,5,1,2,1,4] => [4,1,2,1,5,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,5,1,2,4,1] => [1,4,2,1,5,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,5,1,4,1,2] => [2,1,4,1,5,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,5,1,4,2,1] => [1,2,4,1,5,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,5,2,1,1,4] => [4,1,1,2,5,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,5,2,1,4,1] => [1,4,1,2,5,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,5,2,4,1,1] => [1,1,4,2,5,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,5,4,1,1,2] => [2,1,1,4,5,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,5,4,1,2,1] => [1,2,1,4,5,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,5,4,2,1,1] => [1,1,2,4,5,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[4,1,1,2,2,5] => [5,2,2,1,1,4] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,1,1,2,5,2] => [2,5,2,1,1,4] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,1,1,5,2,2] => [2,2,5,1,1,4] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,1,2,1,2,5] => [5,2,1,2,1,4] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,1,2,1,5,2] => [2,5,1,2,1,4] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,1,2,2,1,5] => [5,1,2,2,1,4] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,1,2,2,5,1] => [1,5,2,2,1,4] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,1,2,5,1,2] => [2,1,5,2,1,4] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,1,2,5,2,1] => [1,2,5,2,1,4] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,1,5,1,2,2] => [2,2,1,5,1,4] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,1,5,2,1,2] => [2,1,2,5,1,4] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,1,5,2,2,1] => [1,2,2,5,1,4] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,2,1,1,2,5] => [5,2,1,1,2,4] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,2,1,1,5,2] => [2,5,1,1,2,4] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,2,1,2,1,5] => [5,1,2,1,2,4] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,2,1,2,5,1] => [1,5,2,1,2,4] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,2,1,5,1,2] => [2,1,5,1,2,4] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,2,1,5,2,1] => [1,2,5,1,2,4] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,2,2,1,1,5] => [5,1,1,2,2,4] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,2,2,1,5,1] => [1,5,1,2,2,4] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,2,2,5,1,1] => [1,1,5,2,2,4] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,2,5,1,1,2] => [2,1,1,5,2,4] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,2,5,1,2,1] => [1,2,1,5,2,4] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,2,5,2,1,1] => [1,1,2,5,2,4] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,5,1,1,2,2] => [2,2,1,1,5,4] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[4,5,1,2,1,2] => [2,1,2,1,5,4] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,5,1,2,2,1] => [1,2,2,1,5,4] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,5,2,1,1,2] => [2,1,1,2,5,4] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,5,2,1,2,1] => [1,2,1,2,5,4] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,5,2,2,1,1] => [1,1,2,2,5,4] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[5,1,1,2,2,4] => [4,2,2,1,1,5] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,1,2,4,2] => [2,4,2,1,1,5] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,4,2,2] => [2,2,4,1,1,5] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,2,1,2,4] => [4,2,1,2,1,5] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,2,1,4,2] => [2,4,1,2,1,5] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,2,2,1,4] => [4,1,2,2,1,5] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,2,2,4,1] => [1,4,2,2,1,5] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,1,2,4,1,2] => [2,1,4,2,1,5] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,2,4,2,1] => [1,2,4,2,1,5] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,4,1,2,2] => [2,2,1,4,1,5] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,4,2,1,2] => [2,1,2,4,1,5] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,4,2,2,1] => [1,2,2,4,1,5] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,1,1,2,4] => [4,2,1,1,2,5] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,2,1,1,4,2] => [2,4,1,1,2,5] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,1,2,1,4] => [4,1,2,1,2,5] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,2,1,2,4,1] => [1,4,2,1,2,5] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,2,1,4,1,2] => [2,1,4,1,2,5] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,2,1,4,2,1] => [1,2,4,1,2,5] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,2,2,1,1,4] => [4,1,1,2,2,5] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,2,2,1,4,1] => [1,4,1,2,2,5] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,2,2,4,1,1] => [1,1,4,2,2,5] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,2,4,1,1,2] => [2,1,1,4,2,5] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,4,1,2,1] => [1,2,1,4,2,5] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,2,4,2,1,1] => [1,1,2,4,2,5] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,4,1,1,2,2] => [2,2,1,1,4,5] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[5,4,1,2,1,2] => [2,1,2,1,4,5] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,4,1,2,2,1] => [1,2,2,1,4,5] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,4,2,1,1,2] => [2,1,1,2,4,5] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,4,2,1,2,1] => [1,2,1,2,4,5] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,4,2,2,1,1] => [1,1,2,2,4,5] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,2,4,6] => [6,4,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,6,4] => [4,6,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,4,2,6] => [6,2,4,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,4,6,2] => [2,6,4,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,6,2,4] => [4,2,6,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,6,4,2] => [2,4,6,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,2,2,6] => [6,2,2,4,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,4,2,6,2] => [2,6,2,4,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,4,6,2,2] => [2,2,6,4,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,6,2,2,4] => [4,2,2,6,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,6,2,4,2] => [2,4,2,6,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,4,2,2] => [2,2,4,6,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,4,6] => [6,4,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,6,4] => [4,6,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,4,2,6] => [6,2,4,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,4,6,2] => [2,6,4,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,6,2,4] => [4,2,6,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,6,4,2] => [2,4,6,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,4,6] => [6,4,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,6,4] => [4,6,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,4,1,6] => [6,1,4,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,4,6,1] => [1,6,4,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,6,1,4] => [4,1,6,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,6,4,1] => [1,4,6,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,4,1,2,6] => [6,2,1,4,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,4,1,6,2] => [2,6,1,4,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,4,2,1,6] => [6,1,2,4,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,4,2,6,1] => [1,6,2,4,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,4,6,1,2] => [2,1,6,4,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,4,6,2,1] => [1,2,6,4,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,6,1,2,4] => [4,2,1,6,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,6,1,4,2] => [2,4,1,6,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,6,2,1,4] => [4,1,2,6,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,6,2,4,1] => [1,4,2,6,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,6,4,1,2] => [2,1,4,6,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,6,4,2,1] => [1,2,4,6,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,1,2,2,6] => [6,2,2,1,4,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,4,1,2,6,2] => [2,6,2,1,4,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,4,1,6,2,2] => [2,2,6,1,4,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,4,2,1,2,6] => [6,2,1,2,4,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,4,2,1,6,2] => [2,6,1,2,4,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,4,2,2,1,6] => [6,1,2,2,4,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,4,2,2,6,1] => [1,6,2,2,4,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,4,2,6,1,2] => [2,1,6,2,4,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,4,2,6,2,1] => [1,2,6,2,4,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,4,6,1,2,2] => [2,2,1,6,4,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,4,6,2,1,2] => [2,1,2,6,4,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,4,6,2,2,1] => [1,2,2,6,4,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,6,1,2,2,4] => [4,2,2,1,6,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,1,2,4,2] => [2,4,2,1,6,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,4,2,2] => [2,2,4,1,6,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,2,1,2,4] => [4,2,1,2,6,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,2,1,4,2] => [2,4,1,2,6,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,2,2,1,4] => [4,1,2,2,6,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,2,2,4,1] => [1,4,2,2,6,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,6,2,4,1,2] => [2,1,4,2,6,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,2,4,2,1] => [1,2,4,2,6,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,4,1,2,2] => [2,2,1,4,6,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,4,2,1,2] => [2,1,2,4,6,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,4,2,2,1] => [1,2,2,4,6,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,4,6] => [6,4,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,6,4] => [4,6,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,4,2,6] => [6,2,4,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,4,6,2] => [2,6,4,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,6,2,4] => [4,2,6,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,6,4,2] => [2,4,6,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,4,6] => [6,4,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,6,4] => [4,6,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,4,1,6] => [6,1,4,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,4,6,1] => [1,6,4,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,6,1,4] => [4,1,6,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,6,4,1] => [1,4,6,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,4,1,2,6] => [6,2,1,4,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,4,1,6,2] => [2,6,1,4,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,4,2,1,6] => [6,1,2,4,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,4,2,6,1] => [1,6,2,4,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,4,6,1,2] => [2,1,6,4,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,4,6,2,1] => [1,2,6,4,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,6,1,2,4] => [4,2,1,6,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,6,1,4,2] => [2,4,1,6,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,6,2,1,4] => [4,1,2,6,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,6,2,4,1] => [1,4,2,6,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,6,4,1,2] => [2,1,4,6,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,6,4,2,1] => [1,2,4,6,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,4,6] => [6,4,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,6,4] => [4,6,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,4,1,6] => [6,1,4,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,4,6,1] => [1,6,4,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,6,1,4] => [4,1,6,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,6,4,1] => [1,4,6,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,4,1,1,6] => [6,1,1,4,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,4,1,6,1] => [1,6,1,4,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,4,6,1,1] => [1,1,6,4,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,6,1,1,4] => [4,1,1,6,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,6,1,4,1] => [1,4,1,6,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,6,4,1,1] => [1,1,4,6,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,4,1,1,2,6] => [6,2,1,1,4,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,4,1,1,6,2] => [2,6,1,1,4,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,4,1,2,1,6] => [6,1,2,1,4,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,4,1,2,6,1] => [1,6,2,1,4,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,4,1,6,1,2] => [2,1,6,1,4,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,4,1,6,2,1] => [1,2,6,1,4,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,4,2,1,1,6] => [6,1,1,2,4,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,4,2,1,6,1] => [1,6,1,2,4,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,4,2,6,1,1] => [1,1,6,2,4,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,4,6,1,1,2] => [2,1,1,6,4,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,4,6,1,2,1] => [1,2,1,6,4,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,4,6,2,1,1] => [1,1,2,6,4,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,6,1,1,2,4] => [4,2,1,1,6,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,6,1,1,4,2] => [2,4,1,1,6,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,6,1,2,1,4] => [4,1,2,1,6,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,6,1,2,4,1] => [1,4,2,1,6,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,6,1,4,1,2] => [2,1,4,1,6,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,6,1,4,2,1] => [1,2,4,1,6,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,6,2,1,1,4] => [4,1,1,2,6,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,6,2,1,4,1] => [1,4,1,2,6,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,6,2,4,1,1] => [1,1,4,2,6,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,6,4,1,1,2] => [2,1,1,4,6,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,6,4,1,2,1] => [1,2,1,4,6,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,6,4,2,1,1] => [1,1,2,4,6,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[4,1,1,2,2,6] => [6,2,2,1,1,4] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,1,1,2,6,2] => [2,6,2,1,1,4] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,1,1,6,2,2] => [2,2,6,1,1,4] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,1,2,1,2,6] => [6,2,1,2,1,4] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,1,2,1,6,2] => [2,6,1,2,1,4] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,1,2,2,1,6] => [6,1,2,2,1,4] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,1,2,2,6,1] => [1,6,2,2,1,4] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,1,2,6,1,2] => [2,1,6,2,1,4] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,1,2,6,2,1] => [1,2,6,2,1,4] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,1,6,1,2,2] => [2,2,1,6,1,4] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,1,6,2,1,2] => [2,1,2,6,1,4] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,1,6,2,2,1] => [1,2,2,6,1,4] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,2,1,1,2,6] => [6,2,1,1,2,4] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,2,1,1,6,2] => [2,6,1,1,2,4] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,2,1,2,1,6] => [6,1,2,1,2,4] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,2,1,2,6,1] => [1,6,2,1,2,4] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,2,1,6,1,2] => [2,1,6,1,2,4] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,2,1,6,2,1] => [1,2,6,1,2,4] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,2,2,1,1,6] => [6,1,1,2,2,4] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,2,2,1,6,1] => [1,6,1,2,2,4] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,2,2,6,1,1] => [1,1,6,2,2,4] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,2,6,1,1,2] => [2,1,1,6,2,4] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,2,6,1,2,1] => [1,2,1,6,2,4] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,2,6,2,1,1] => [1,1,2,6,2,4] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,6,1,1,2,2] => [2,2,1,1,6,4] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[4,6,1,2,1,2] => [2,1,2,1,6,4] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,6,1,2,2,1] => [1,2,2,1,6,4] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,6,2,1,1,2] => [2,1,1,2,6,4] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,6,2,1,2,1] => [1,2,1,2,6,4] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,6,2,2,1,1] => [1,1,2,2,6,4] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[6,1,1,2,2,4] => [4,2,2,1,1,6] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,1,2,4,2] => [2,4,2,1,1,6] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,4,2,2] => [2,2,4,1,1,6] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,2,1,2,4] => [4,2,1,2,1,6] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,2,1,4,2] => [2,4,1,2,1,6] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,2,2,1,4] => [4,1,2,2,1,6] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,2,2,4,1] => [1,4,2,2,1,6] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,1,2,4,1,2] => [2,1,4,2,1,6] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,2,4,2,1] => [1,2,4,2,1,6] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,4,1,2,2] => [2,2,1,4,1,6] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,4,2,1,2] => [2,1,2,4,1,6] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,4,2,2,1] => [1,2,2,4,1,6] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,1,1,2,4] => [4,2,1,1,2,6] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,2,1,1,4,2] => [2,4,1,1,2,6] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,1,2,1,4] => [4,1,2,1,2,6] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,2,1,2,4,1] => [1,4,2,1,2,6] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,2,1,4,1,2] => [2,1,4,1,2,6] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,2,1,4,2,1] => [1,2,4,1,2,6] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,2,2,1,1,4] => [4,1,1,2,2,6] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,2,2,1,4,1] => [1,4,1,2,2,6] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,2,2,4,1,1] => [1,1,4,2,2,6] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,2,4,1,1,2] => [2,1,1,4,2,6] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,4,1,2,1] => [1,2,1,4,2,6] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,2,4,2,1,1] => [1,1,2,4,2,6] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,4,1,1,2,2] => [2,2,1,1,4,6] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[6,4,1,2,1,2] => [2,1,2,1,4,6] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,4,1,2,2,1] => [1,2,2,1,4,6] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,4,2,1,1,2] => [2,1,1,2,4,6] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,4,2,1,2,1] => [1,2,1,2,4,6] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,4,2,2,1,1] => [1,1,2,2,4,6] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,2,5,5] => [5,5,2,2,1,1] => [{5,6},{3,4},{1,2}] => {{1,2},{3,4},{5,6}}
[1,1,2,5,2,5] => [5,2,5,2,1,1] => [{5,6},{2,4},{1,3}] => {{1,3},{2,4},{5,6}}
[1,1,2,5,5,2] => [2,5,5,2,1,1] => [{5,6},{1,4},{2,3}] => {{1,4},{2,3},{5,6}}
[1,1,5,2,2,5] => [5,2,2,5,1,1] => [{5,6},{2,3},{1,4}] => {{1,4},{2,3},{5,6}}
[1,1,5,2,5,2] => [2,5,2,5,1,1] => [{5,6},{1,3},{2,4}] => {{1,3},{2,4},{5,6}}
[1,1,5,5,2,2] => [2,2,5,5,1,1] => [{5,6},{1,2},{3,4}] => {{1,2},{3,4},{5,6}}
[1,2,1,2,5,5] => [5,5,2,1,2,1] => [{4,6},{3,5},{1,2}] => {{1,2},{3,5},{4,6}}
[1,2,1,5,2,5] => [5,2,5,1,2,1] => [{4,6},{2,5},{1,3}] => {{1,3},{2,5},{4,6}}
[1,2,1,5,5,2] => [2,5,5,1,2,1] => [{4,6},{1,5},{2,3}] => {{1,5},{2,3},{4,6}}
[1,2,2,1,5,5] => [5,5,1,2,2,1] => [{3,6},{4,5},{1,2}] => {{1,2},{3,6},{4,5}}
[1,2,2,5,1,5] => [5,1,5,2,2,1] => [{2,6},{4,5},{1,3}] => {{1,3},{2,6},{4,5}}
[1,2,2,5,5,1] => [1,5,5,2,2,1] => [{1,6},{4,5},{2,3}] => {{1,6},{2,3},{4,5}}
[1,2,5,1,2,5] => [5,2,1,5,2,1] => [{3,6},{2,5},{1,4}] => {{1,4},{2,5},{3,6}}
[1,2,5,1,5,2] => [2,5,1,5,2,1] => [{3,6},{1,5},{2,4}] => {{1,5},{2,4},{3,6}}
[1,2,5,2,1,5] => [5,1,2,5,2,1] => [{2,6},{3,5},{1,4}] => {{1,4},{2,6},{3,5}}
[1,2,5,2,5,1] => [1,5,2,5,2,1] => [{1,6},{3,5},{2,4}] => {{1,6},{2,4},{3,5}}
[1,2,5,5,1,2] => [2,1,5,5,2,1] => [{2,6},{1,5},{3,4}] => {{1,5},{2,6},{3,4}}
[1,2,5,5,2,1] => [1,2,5,5,2,1] => [{1,6},{2,5},{3,4}] => {{1,6},{2,5},{3,4}}
[1,5,1,2,2,5] => [5,2,2,1,5,1] => [{4,6},{2,3},{1,5}] => {{1,5},{2,3},{4,6}}
[1,5,1,2,5,2] => [2,5,2,1,5,1] => [{4,6},{1,3},{2,5}] => {{1,3},{2,5},{4,6}}
[1,5,1,5,2,2] => [2,2,5,1,5,1] => [{4,6},{1,2},{3,5}] => {{1,2},{3,5},{4,6}}
[1,5,2,1,2,5] => [5,2,1,2,5,1] => [{3,6},{2,4},{1,5}] => {{1,5},{2,4},{3,6}}
[1,5,2,1,5,2] => [2,5,1,2,5,1] => [{3,6},{1,4},{2,5}] => {{1,4},{2,5},{3,6}}
[1,5,2,2,1,5] => [5,1,2,2,5,1] => [{2,6},{3,4},{1,5}] => {{1,5},{2,6},{3,4}}
[1,5,2,2,5,1] => [1,5,2,2,5,1] => [{1,6},{3,4},{2,5}] => {{1,6},{2,5},{3,4}}
[1,5,2,5,1,2] => [2,1,5,2,5,1] => [{2,6},{1,4},{3,5}] => {{1,4},{2,6},{3,5}}
[1,5,2,5,2,1] => [1,2,5,2,5,1] => [{1,6},{2,4},{3,5}] => {{1,6},{2,4},{3,5}}
[1,5,5,1,2,2] => [2,2,1,5,5,1] => [{3,6},{1,2},{4,5}] => {{1,2},{3,6},{4,5}}
[1,5,5,2,1,2] => [2,1,2,5,5,1] => [{2,6},{1,3},{4,5}] => {{1,3},{2,6},{4,5}}
[1,5,5,2,2,1] => [1,2,2,5,5,1] => [{1,6},{2,3},{4,5}] => {{1,6},{2,3},{4,5}}
[2,1,1,2,5,5] => [5,5,2,1,1,2] => [{4,5},{3,6},{1,2}] => {{1,2},{3,6},{4,5}}
[2,1,1,5,2,5] => [5,2,5,1,1,2] => [{4,5},{2,6},{1,3}] => {{1,3},{2,6},{4,5}}
[2,1,1,5,5,2] => [2,5,5,1,1,2] => [{4,5},{1,6},{2,3}] => {{1,6},{2,3},{4,5}}
[2,1,2,1,5,5] => [5,5,1,2,1,2] => [{3,5},{4,6},{1,2}] => {{1,2},{3,5},{4,6}}
[2,1,2,5,1,5] => [5,1,5,2,1,2] => [{2,5},{4,6},{1,3}] => {{1,3},{2,5},{4,6}}
[2,1,2,5,5,1] => [1,5,5,2,1,2] => [{1,5},{4,6},{2,3}] => {{1,5},{2,3},{4,6}}
[2,1,5,1,2,5] => [5,2,1,5,1,2] => [{3,5},{2,6},{1,4}] => {{1,4},{2,6},{3,5}}
[2,1,5,1,5,2] => [2,5,1,5,1,2] => [{3,5},{1,6},{2,4}] => {{1,6},{2,4},{3,5}}
[2,1,5,2,1,5] => [5,1,2,5,1,2] => [{2,5},{3,6},{1,4}] => {{1,4},{2,5},{3,6}}
[2,1,5,2,5,1] => [1,5,2,5,1,2] => [{1,5},{3,6},{2,4}] => {{1,5},{2,4},{3,6}}
[2,1,5,5,1,2] => [2,1,5,5,1,2] => [{2,5},{1,6},{3,4}] => {{1,6},{2,5},{3,4}}
[2,1,5,5,2,1] => [1,2,5,5,1,2] => [{1,5},{2,6},{3,4}] => {{1,5},{2,6},{3,4}}
[2,2,1,1,5,5] => [5,5,1,1,2,2] => [{3,4},{5,6},{1,2}] => {{1,2},{3,4},{5,6}}
[2,2,1,5,1,5] => [5,1,5,1,2,2] => [{2,4},{5,6},{1,3}] => {{1,3},{2,4},{5,6}}
[2,2,1,5,5,1] => [1,5,5,1,2,2] => [{1,4},{5,6},{2,3}] => {{1,4},{2,3},{5,6}}
[2,2,5,1,1,5] => [5,1,1,5,2,2] => [{2,3},{5,6},{1,4}] => {{1,4},{2,3},{5,6}}
[2,2,5,1,5,1] => [1,5,1,5,2,2] => [{1,3},{5,6},{2,4}] => {{1,3},{2,4},{5,6}}
[2,2,5,5,1,1] => [1,1,5,5,2,2] => [{1,2},{5,6},{3,4}] => {{1,2},{3,4},{5,6}}
[2,5,1,1,2,5] => [5,2,1,1,5,2] => [{3,4},{2,6},{1,5}] => {{1,5},{2,6},{3,4}}
[2,5,1,1,5,2] => [2,5,1,1,5,2] => [{3,4},{1,6},{2,5}] => {{1,6},{2,5},{3,4}}
[2,5,1,2,1,5] => [5,1,2,1,5,2] => [{2,4},{3,6},{1,5}] => {{1,5},{2,4},{3,6}}
[2,5,1,2,5,1] => [1,5,2,1,5,2] => [{1,4},{3,6},{2,5}] => {{1,4},{2,5},{3,6}}
[2,5,1,5,1,2] => [2,1,5,1,5,2] => [{2,4},{1,6},{3,5}] => {{1,6},{2,4},{3,5}}
[2,5,1,5,2,1] => [1,2,5,1,5,2] => [{1,4},{2,6},{3,5}] => {{1,4},{2,6},{3,5}}
[2,5,2,1,1,5] => [5,1,1,2,5,2] => [{2,3},{4,6},{1,5}] => {{1,5},{2,3},{4,6}}
[2,5,2,1,5,1] => [1,5,1,2,5,2] => [{1,3},{4,6},{2,5}] => {{1,3},{2,5},{4,6}}
[2,5,2,5,1,1] => [1,1,5,2,5,2] => [{1,2},{4,6},{3,5}] => {{1,2},{3,5},{4,6}}
[2,5,5,1,1,2] => [2,1,1,5,5,2] => [{2,3},{1,6},{4,5}] => {{1,6},{2,3},{4,5}}
[2,5,5,1,2,1] => [1,2,1,5,5,2] => [{1,3},{2,6},{4,5}] => {{1,3},{2,6},{4,5}}
[2,5,5,2,1,1] => [1,1,2,5,5,2] => [{1,2},{3,6},{4,5}] => {{1,2},{3,6},{4,5}}
[5,1,1,2,2,5] => [5,2,2,1,1,5] => [{4,5},{2,3},{1,6}] => {{1,6},{2,3},{4,5}}
[5,1,1,2,5,2] => [2,5,2,1,1,5] => [{4,5},{1,3},{2,6}] => {{1,3},{2,6},{4,5}}
[5,1,1,5,2,2] => [2,2,5,1,1,5] => [{4,5},{1,2},{3,6}] => {{1,2},{3,6},{4,5}}
[5,1,2,1,2,5] => [5,2,1,2,1,5] => [{3,5},{2,4},{1,6}] => {{1,6},{2,4},{3,5}}
[5,1,2,1,5,2] => [2,5,1,2,1,5] => [{3,5},{1,4},{2,6}] => {{1,4},{2,6},{3,5}}
[5,1,2,2,1,5] => [5,1,2,2,1,5] => [{2,5},{3,4},{1,6}] => {{1,6},{2,5},{3,4}}
[5,1,2,2,5,1] => [1,5,2,2,1,5] => [{1,5},{3,4},{2,6}] => {{1,5},{2,6},{3,4}}
[5,1,2,5,1,2] => [2,1,5,2,1,5] => [{2,5},{1,4},{3,6}] => {{1,4},{2,5},{3,6}}
[5,1,2,5,2,1] => [1,2,5,2,1,5] => [{1,5},{2,4},{3,6}] => {{1,5},{2,4},{3,6}}
[5,1,5,1,2,2] => [2,2,1,5,1,5] => [{3,5},{1,2},{4,6}] => {{1,2},{3,5},{4,6}}
[5,1,5,2,1,2] => [2,1,2,5,1,5] => [{2,5},{1,3},{4,6}] => {{1,3},{2,5},{4,6}}
[5,1,5,2,2,1] => [1,2,2,5,1,5] => [{1,5},{2,3},{4,6}] => {{1,5},{2,3},{4,6}}
[5,2,1,1,2,5] => [5,2,1,1,2,5] => [{3,4},{2,5},{1,6}] => {{1,6},{2,5},{3,4}}
[5,2,1,1,5,2] => [2,5,1,1,2,5] => [{3,4},{1,5},{2,6}] => {{1,5},{2,6},{3,4}}
[5,2,1,2,1,5] => [5,1,2,1,2,5] => [{2,4},{3,5},{1,6}] => {{1,6},{2,4},{3,5}}
[5,2,1,2,5,1] => [1,5,2,1,2,5] => [{1,4},{3,5},{2,6}] => {{1,4},{2,6},{3,5}}
[5,2,1,5,1,2] => [2,1,5,1,2,5] => [{2,4},{1,5},{3,6}] => {{1,5},{2,4},{3,6}}
[5,2,1,5,2,1] => [1,2,5,1,2,5] => [{1,4},{2,5},{3,6}] => {{1,4},{2,5},{3,6}}
[5,2,2,1,1,5] => [5,1,1,2,2,5] => [{2,3},{4,5},{1,6}] => {{1,6},{2,3},{4,5}}
[5,2,2,1,5,1] => [1,5,1,2,2,5] => [{1,3},{4,5},{2,6}] => {{1,3},{2,6},{4,5}}
[5,2,2,5,1,1] => [1,1,5,2,2,5] => [{1,2},{4,5},{3,6}] => {{1,2},{3,6},{4,5}}
[5,2,5,1,1,2] => [2,1,1,5,2,5] => [{2,3},{1,5},{4,6}] => {{1,5},{2,3},{4,6}}
[5,2,5,1,2,1] => [1,2,1,5,2,5] => [{1,3},{2,5},{4,6}] => {{1,3},{2,5},{4,6}}
[5,2,5,2,1,1] => [1,1,2,5,2,5] => [{1,2},{3,5},{4,6}] => {{1,2},{3,5},{4,6}}
[5,5,1,1,2,2] => [2,2,1,1,5,5] => [{3,4},{1,2},{5,6}] => {{1,2},{3,4},{5,6}}
[5,5,1,2,1,2] => [2,1,2,1,5,5] => [{2,4},{1,3},{5,6}] => {{1,3},{2,4},{5,6}}
[5,5,1,2,2,1] => [1,2,2,1,5,5] => [{1,4},{2,3},{5,6}] => {{1,4},{2,3},{5,6}}
[5,5,2,1,1,2] => [2,1,1,2,5,5] => [{2,3},{1,4},{5,6}] => {{1,4},{2,3},{5,6}}
[5,5,2,1,2,1] => [1,2,1,2,5,5] => [{1,3},{2,4},{5,6}] => {{1,3},{2,4},{5,6}}
[5,5,2,2,1,1] => [1,1,2,2,5,5] => [{1,2},{3,4},{5,6}] => {{1,2},{3,4},{5,6}}
[1,1,2,2,5,6] => [6,5,2,2,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,2,2,6,5] => [5,6,2,2,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,2,5,2,6] => [6,2,5,2,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,2,5,6,2] => [2,6,5,2,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,2,6,2,5] => [5,2,6,2,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,2,6,5,2] => [2,5,6,2,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,5,2,2,6] => [6,2,2,5,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,5,2,6,2] => [2,6,2,5,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,5,6,2,2] => [2,2,6,5,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,6,2,2,5] => [5,2,2,6,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,6,2,5,2] => [2,5,2,6,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,5,2,2] => [2,2,5,6,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,2,1,2,5,6] => [6,5,2,1,2,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,2,1,2,6,5] => [5,6,2,1,2,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,2,1,5,2,6] => [6,2,5,1,2,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,2,1,5,6,2] => [2,6,5,1,2,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,2,1,6,2,5] => [5,2,6,1,2,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,2,1,6,5,2] => [2,5,6,1,2,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,2,2,1,5,6] => [6,5,1,2,2,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,2,2,1,6,5] => [5,6,1,2,2,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,2,2,5,1,6] => [6,1,5,2,2,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,2,2,5,6,1] => [1,6,5,2,2,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,2,2,6,1,5] => [5,1,6,2,2,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,2,2,6,5,1] => [1,5,6,2,2,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,2,5,1,2,6] => [6,2,1,5,2,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,2,5,1,6,2] => [2,6,1,5,2,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,2,5,2,1,6] => [6,1,2,5,2,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,2,5,2,6,1] => [1,6,2,5,2,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,2,5,6,1,2] => [2,1,6,5,2,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,2,5,6,2,1] => [1,2,6,5,2,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,2,6,1,2,5] => [5,2,1,6,2,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,2,6,1,5,2] => [2,5,1,6,2,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,2,6,2,1,5] => [5,1,2,6,2,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,2,6,2,5,1] => [1,5,2,6,2,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,2,6,5,1,2] => [2,1,5,6,2,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,2,6,5,2,1] => [1,2,5,6,2,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,5,1,2,2,6] => [6,2,2,1,5,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,5,1,2,6,2] => [2,6,2,1,5,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,5,1,6,2,2] => [2,2,6,1,5,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,5,2,1,2,6] => [6,2,1,2,5,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,5,2,1,6,2] => [2,6,1,2,5,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,5,2,2,1,6] => [6,1,2,2,5,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,5,2,2,6,1] => [1,6,2,2,5,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,5,2,6,1,2] => [2,1,6,2,5,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,5,2,6,2,1] => [1,2,6,2,5,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,5,6,1,2,2] => [2,2,1,6,5,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,5,6,2,1,2] => [2,1,2,6,5,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,5,6,2,2,1] => [1,2,2,6,5,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,6,1,2,2,5] => [5,2,2,1,6,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,1,2,5,2] => [2,5,2,1,6,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,5,2,2] => [2,2,5,1,6,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,2,1,2,5] => [5,2,1,2,6,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,2,1,5,2] => [2,5,1,2,6,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,2,2,1,5] => [5,1,2,2,6,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,2,2,5,1] => [1,5,2,2,6,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,6,2,5,1,2] => [2,1,5,2,6,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,2,5,2,1] => [1,2,5,2,6,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,5,1,2,2] => [2,2,1,5,6,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,5,2,1,2] => [2,1,2,5,6,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,5,2,2,1] => [1,2,2,5,6,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,1,1,2,5,6] => [6,5,2,1,1,2] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[2,1,1,2,6,5] => [5,6,2,1,1,2] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[2,1,1,5,2,6] => [6,2,5,1,1,2] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[2,1,1,5,6,2] => [2,6,5,1,1,2] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[2,1,1,6,2,5] => [5,2,6,1,1,2] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[2,1,1,6,5,2] => [2,5,6,1,1,2] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[2,1,2,1,5,6] => [6,5,1,2,1,2] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[2,1,2,1,6,5] => [5,6,1,2,1,2] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[2,1,2,5,1,6] => [6,1,5,2,1,2] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[2,1,2,5,6,1] => [1,6,5,2,1,2] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[2,1,2,6,1,5] => [5,1,6,2,1,2] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[2,1,2,6,5,1] => [1,5,6,2,1,2] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[2,1,5,1,2,6] => [6,2,1,5,1,2] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[2,1,5,1,6,2] => [2,6,1,5,1,2] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[2,1,5,2,1,6] => [6,1,2,5,1,2] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[2,1,5,2,6,1] => [1,6,2,5,1,2] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[2,1,5,6,1,2] => [2,1,6,5,1,2] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[2,1,5,6,2,1] => [1,2,6,5,1,2] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[2,1,6,1,2,5] => [5,2,1,6,1,2] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[2,1,6,1,5,2] => [2,5,1,6,1,2] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[2,1,6,2,1,5] => [5,1,2,6,1,2] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[2,1,6,2,5,1] => [1,5,2,6,1,2] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[2,1,6,5,1,2] => [2,1,5,6,1,2] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[2,1,6,5,2,1] => [1,2,5,6,1,2] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[2,2,1,1,5,6] => [6,5,1,1,2,2] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,1,1,6,5] => [5,6,1,1,2,2] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,1,5,1,6] => [6,1,5,1,2,2] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,1,5,6,1] => [1,6,5,1,2,2] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,1,6,1,5] => [5,1,6,1,2,2] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,1,6,5,1] => [1,5,6,1,2,2] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,5,1,1,6] => [6,1,1,5,2,2] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,5,1,6,1] => [1,6,1,5,2,2] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,5,6,1,1] => [1,1,6,5,2,2] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,6,1,1,5] => [5,1,1,6,2,2] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[2,2,6,1,5,1] => [1,5,1,6,2,2] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,6,5,1,1] => [1,1,5,6,2,2] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[2,5,1,1,2,6] => [6,2,1,1,5,2] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[2,5,1,1,6,2] => [2,6,1,1,5,2] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[2,5,1,2,1,6] => [6,1,2,1,5,2] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[2,5,1,2,6,1] => [1,6,2,1,5,2] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[2,5,1,6,1,2] => [2,1,6,1,5,2] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[2,5,1,6,2,1] => [1,2,6,1,5,2] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[2,5,2,1,1,6] => [6,1,1,2,5,2] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[2,5,2,1,6,1] => [1,6,1,2,5,2] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[2,5,2,6,1,1] => [1,1,6,2,5,2] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[2,5,6,1,1,2] => [2,1,1,6,5,2] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[2,5,6,1,2,1] => [1,2,1,6,5,2] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[2,5,6,2,1,1] => [1,1,2,6,5,2] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[2,6,1,1,2,5] => [5,2,1,1,6,2] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[2,6,1,1,5,2] => [2,5,1,1,6,2] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[2,6,1,2,1,5] => [5,1,2,1,6,2] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[2,6,1,2,5,1] => [1,5,2,1,6,2] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[2,6,1,5,1,2] => [2,1,5,1,6,2] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[2,6,1,5,2,1] => [1,2,5,1,6,2] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[2,6,2,1,1,5] => [5,1,1,2,6,2] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[2,6,2,1,5,1] => [1,5,1,2,6,2] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[2,6,2,5,1,1] => [1,1,5,2,6,2] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[2,6,5,1,1,2] => [2,1,1,5,6,2] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[2,6,5,1,2,1] => [1,2,1,5,6,2] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[2,6,5,2,1,1] => [1,1,2,5,6,2] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[5,1,1,2,2,6] => [6,2,2,1,1,5] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[5,1,1,2,6,2] => [2,6,2,1,1,5] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[5,1,1,6,2,2] => [2,2,6,1,1,5] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[5,1,2,1,2,6] => [6,2,1,2,1,5] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[5,1,2,1,6,2] => [2,6,1,2,1,5] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[5,1,2,2,1,6] => [6,1,2,2,1,5] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[5,1,2,2,6,1] => [1,6,2,2,1,5] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[5,1,2,6,1,2] => [2,1,6,2,1,5] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[5,1,2,6,2,1] => [1,2,6,2,1,5] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[5,1,6,1,2,2] => [2,2,1,6,1,5] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[5,1,6,2,1,2] => [2,1,2,6,1,5] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[5,1,6,2,2,1] => [1,2,2,6,1,5] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[5,2,1,1,2,6] => [6,2,1,1,2,5] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[5,2,1,1,6,2] => [2,6,1,1,2,5] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[5,2,1,2,1,6] => [6,1,2,1,2,5] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[5,2,1,2,6,1] => [1,6,2,1,2,5] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[5,2,1,6,1,2] => [2,1,6,1,2,5] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[5,2,1,6,2,1] => [1,2,6,1,2,5] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[5,2,2,1,1,6] => [6,1,1,2,2,5] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[5,2,2,1,6,1] => [1,6,1,2,2,5] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[5,2,2,6,1,1] => [1,1,6,2,2,5] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[5,2,6,1,1,2] => [2,1,1,6,2,5] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[5,2,6,1,2,1] => [1,2,1,6,2,5] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[5,2,6,2,1,1] => [1,1,2,6,2,5] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[5,6,1,1,2,2] => [2,2,1,1,6,5] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[5,6,1,2,1,2] => [2,1,2,1,6,5] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[5,6,1,2,2,1] => [1,2,2,1,6,5] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[5,6,2,1,1,2] => [2,1,1,2,6,5] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[5,6,2,1,2,1] => [1,2,1,2,6,5] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[5,6,2,2,1,1] => [1,1,2,2,6,5] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[6,1,1,2,2,5] => [5,2,2,1,1,6] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,1,2,5,2] => [2,5,2,1,1,6] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,5,2,2] => [2,2,5,1,1,6] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,2,1,2,5] => [5,2,1,2,1,6] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,2,1,5,2] => [2,5,1,2,1,6] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,2,2,1,5] => [5,1,2,2,1,6] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,2,2,5,1] => [1,5,2,2,1,6] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,1,2,5,1,2] => [2,1,5,2,1,6] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,2,5,2,1] => [1,2,5,2,1,6] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,5,1,2,2] => [2,2,1,5,1,6] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,5,2,1,2] => [2,1,2,5,1,6] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,5,2,2,1] => [1,2,2,5,1,6] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,1,1,2,5] => [5,2,1,1,2,6] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,2,1,1,5,2] => [2,5,1,1,2,6] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,1,2,1,5] => [5,1,2,1,2,6] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,2,1,2,5,1] => [1,5,2,1,2,6] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,2,1,5,1,2] => [2,1,5,1,2,6] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,2,1,5,2,1] => [1,2,5,1,2,6] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,2,2,1,1,5] => [5,1,1,2,2,6] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,2,2,1,5,1] => [1,5,1,2,2,6] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,2,2,5,1,1] => [1,1,5,2,2,6] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,2,5,1,1,2] => [2,1,1,5,2,6] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,5,1,2,1] => [1,2,1,5,2,6] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,2,5,2,1,1] => [1,1,2,5,2,6] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,5,1,1,2,2] => [2,2,1,1,5,6] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[6,5,1,2,1,2] => [2,1,2,1,5,6] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,5,1,2,2,1] => [1,2,2,1,5,6] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,5,2,1,1,2] => [2,1,1,2,5,6] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,5,2,1,2,1] => [1,2,1,2,5,6] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,5,2,2,1,1] => [1,1,2,2,5,6] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,2,3,3,3] => [3,3,3,2,1,1] => [{5,6},{4},{1,2,3}] => {{1,2,3},{4},{5,6}}
[1,1,3,2,3,3] => [3,3,2,3,1,1] => [{5,6},{3},{1,2,4}] => {{1,2,4},{3},{5,6}}
[1,1,3,3,2,3] => [3,2,3,3,1,1] => [{5,6},{2},{1,3,4}] => {{1,3,4},{2},{5,6}}
[1,1,3,3,3,2] => [2,3,3,3,1,1] => [{5,6},{1},{2,3,4}] => {{1},{2,3,4},{5,6}}
[1,2,1,3,3,3] => [3,3,3,1,2,1] => [{4,6},{5},{1,2,3}] => {{1,2,3},{4,6},{5}}
[1,2,3,1,3,3] => [3,3,1,3,2,1] => [{3,6},{5},{1,2,4}] => {{1,2,4},{3,6},{5}}
[1,2,3,3,1,3] => [3,1,3,3,2,1] => [{2,6},{5},{1,3,4}] => {{1,3,4},{2,6},{5}}
[1,2,3,3,3,1] => [1,3,3,3,2,1] => [{1,6},{5},{2,3,4}] => {{1,6},{2,3,4},{5}}
[1,3,1,2,3,3] => [3,3,2,1,3,1] => [{4,6},{3},{1,2,5}] => {{1,2,5},{3},{4,6}}
[1,3,1,3,2,3] => [3,2,3,1,3,1] => [{4,6},{2},{1,3,5}] => {{1,3,5},{2},{4,6}}
[1,3,1,3,3,2] => [2,3,3,1,3,1] => [{4,6},{1},{2,3,5}] => {{1},{2,3,5},{4,6}}
[1,3,2,1,3,3] => [3,3,1,2,3,1] => [{3,6},{4},{1,2,5}] => {{1,2,5},{3,6},{4}}
[1,3,2,3,1,3] => [3,1,3,2,3,1] => [{2,6},{4},{1,3,5}] => {{1,3,5},{2,6},{4}}
[1,3,2,3,3,1] => [1,3,3,2,3,1] => [{1,6},{4},{2,3,5}] => {{1,6},{2,3,5},{4}}
[1,3,3,1,2,3] => [3,2,1,3,3,1] => [{3,6},{2},{1,4,5}] => {{1,4,5},{2},{3,6}}
[1,3,3,1,3,2] => [2,3,1,3,3,1] => [{3,6},{1},{2,4,5}] => {{1},{2,4,5},{3,6}}
[1,3,3,2,1,3] => [3,1,2,3,3,1] => [{2,6},{3},{1,4,5}] => {{1,4,5},{2,6},{3}}
[1,3,3,2,3,1] => [1,3,2,3,3,1] => [{1,6},{3},{2,4,5}] => {{1,6},{2,4,5},{3}}
[1,3,3,3,1,2] => [2,1,3,3,3,1] => [{2,6},{1},{3,4,5}] => {{1},{2,6},{3,4,5}}
[1,3,3,3,2,1] => [1,2,3,3,3,1] => [{1,6},{2},{3,4,5}] => {{1,6},{2},{3,4,5}}
[2,1,1,3,3,3] => [3,3,3,1,1,2] => [{4,5},{6},{1,2,3}] => {{1,2,3},{4,5},{6}}
[2,1,3,1,3,3] => [3,3,1,3,1,2] => [{3,5},{6},{1,2,4}] => {{1,2,4},{3,5},{6}}
[2,1,3,3,1,3] => [3,1,3,3,1,2] => [{2,5},{6},{1,3,4}] => {{1,3,4},{2,5},{6}}
[2,1,3,3,3,1] => [1,3,3,3,1,2] => [{1,5},{6},{2,3,4}] => {{1,5},{2,3,4},{6}}
[2,3,1,1,3,3] => [3,3,1,1,3,2] => [{3,4},{6},{1,2,5}] => {{1,2,5},{3,4},{6}}
[2,3,1,3,1,3] => [3,1,3,1,3,2] => [{2,4},{6},{1,3,5}] => {{1,3,5},{2,4},{6}}
[2,3,1,3,3,1] => [1,3,3,1,3,2] => [{1,4},{6},{2,3,5}] => {{1,4},{2,3,5},{6}}
[2,3,3,1,1,3] => [3,1,1,3,3,2] => [{2,3},{6},{1,4,5}] => {{1,4,5},{2,3},{6}}
[2,3,3,1,3,1] => [1,3,1,3,3,2] => [{1,3},{6},{2,4,5}] => {{1,3},{2,4,5},{6}}
[2,3,3,3,1,1] => [1,1,3,3,3,2] => [{1,2},{6},{3,4,5}] => {{1,2},{3,4,5},{6}}
[3,1,1,2,3,3] => [3,3,2,1,1,3] => [{4,5},{3},{1,2,6}] => {{1,2,6},{3},{4,5}}
[3,1,1,3,2,3] => [3,2,3,1,1,3] => [{4,5},{2},{1,3,6}] => {{1,3,6},{2},{4,5}}
[3,1,1,3,3,2] => [2,3,3,1,1,3] => [{4,5},{1},{2,3,6}] => {{1},{2,3,6},{4,5}}
[3,1,2,1,3,3] => [3,3,1,2,1,3] => [{3,5},{4},{1,2,6}] => {{1,2,6},{3,5},{4}}
[3,1,2,3,1,3] => [3,1,3,2,1,3] => [{2,5},{4},{1,3,6}] => {{1,3,6},{2,5},{4}}
[3,1,2,3,3,1] => [1,3,3,2,1,3] => [{1,5},{4},{2,3,6}] => {{1,5},{2,3,6},{4}}
[3,1,3,1,2,3] => [3,2,1,3,1,3] => [{3,5},{2},{1,4,6}] => {{1,4,6},{2},{3,5}}
[3,1,3,1,3,2] => [2,3,1,3,1,3] => [{3,5},{1},{2,4,6}] => {{1},{2,4,6},{3,5}}
[3,1,3,2,1,3] => [3,1,2,3,1,3] => [{2,5},{3},{1,4,6}] => {{1,4,6},{2,5},{3}}
[3,1,3,2,3,1] => [1,3,2,3,1,3] => [{1,5},{3},{2,4,6}] => {{1,5},{2,4,6},{3}}
[3,1,3,3,1,2] => [2,1,3,3,1,3] => [{2,5},{1},{3,4,6}] => {{1},{2,5},{3,4,6}}
[3,1,3,3,2,1] => [1,2,3,3,1,3] => [{1,5},{2},{3,4,6}] => {{1,5},{2},{3,4,6}}
[3,2,1,1,3,3] => [3,3,1,1,2,3] => [{3,4},{5},{1,2,6}] => {{1,2,6},{3,4},{5}}
[3,2,1,3,1,3] => [3,1,3,1,2,3] => [{2,4},{5},{1,3,6}] => {{1,3,6},{2,4},{5}}
[3,2,1,3,3,1] => [1,3,3,1,2,3] => [{1,4},{5},{2,3,6}] => {{1,4},{2,3,6},{5}}
[3,2,3,1,1,3] => [3,1,1,3,2,3] => [{2,3},{5},{1,4,6}] => {{1,4,6},{2,3},{5}}
[3,2,3,1,3,1] => [1,3,1,3,2,3] => [{1,3},{5},{2,4,6}] => {{1,3},{2,4,6},{5}}
[3,2,3,3,1,1] => [1,1,3,3,2,3] => [{1,2},{5},{3,4,6}] => {{1,2},{3,4,6},{5}}
[3,3,1,1,2,3] => [3,2,1,1,3,3] => [{3,4},{2},{1,5,6}] => {{1,5,6},{2},{3,4}}
[3,3,1,1,3,2] => [2,3,1,1,3,3] => [{3,4},{1},{2,5,6}] => {{1},{2,5,6},{3,4}}
[3,3,1,2,1,3] => [3,1,2,1,3,3] => [{2,4},{3},{1,5,6}] => {{1,5,6},{2,4},{3}}
[3,3,1,2,3,1] => [1,3,2,1,3,3] => [{1,4},{3},{2,5,6}] => {{1,4},{2,5,6},{3}}
[3,3,1,3,1,2] => [2,1,3,1,3,3] => [{2,4},{1},{3,5,6}] => {{1},{2,4},{3,5,6}}
[3,3,1,3,2,1] => [1,2,3,1,3,3] => [{1,4},{2},{3,5,6}] => {{1,4},{2},{3,5,6}}
[3,3,2,1,1,3] => [3,1,1,2,3,3] => [{2,3},{4},{1,5,6}] => {{1,5,6},{2,3},{4}}
[3,3,2,1,3,1] => [1,3,1,2,3,3] => [{1,3},{4},{2,5,6}] => {{1,3},{2,5,6},{4}}
[3,3,2,3,1,1] => [1,1,3,2,3,3] => [{1,2},{4},{3,5,6}] => {{1,2},{3,5,6},{4}}
[3,3,3,1,1,2] => [2,1,1,3,3,3] => [{2,3},{1},{4,5,6}] => {{1},{2,3},{4,5,6}}
[3,3,3,1,2,1] => [1,2,1,3,3,3] => [{1,3},{2},{4,5,6}] => {{1,3},{2},{4,5,6}}
[3,3,3,2,1,1] => [1,1,2,3,3,3] => [{1,2},{3},{4,5,6}] => {{1,2},{3},{4,5,6}}
[1,1,2,3,3,4] => [4,3,3,2,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,2,3,4,3] => [3,4,3,2,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,2,4,3,3] => [3,3,4,2,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,3,2,3,4] => [4,3,2,3,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,2,4,3] => [3,4,2,3,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,3,2,4] => [4,2,3,3,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,4,2] => [2,4,3,3,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,4,2,3] => [3,2,4,3,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,4,3,2] => [2,3,4,3,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,4,2,3,3] => [3,3,2,4,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,4,3,2,3] => [3,2,3,4,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,4,3,3,2] => [2,3,3,4,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,2,1,3,3,4] => [4,3,3,1,2,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,2,1,3,4,3] => [3,4,3,1,2,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,2,1,4,3,3] => [3,3,4,1,2,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,2,3,1,3,4] => [4,3,1,3,2,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,2,3,1,4,3] => [3,4,1,3,2,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,2,3,3,1,4] => [4,1,3,3,2,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,2,3,3,4,1] => [1,4,3,3,2,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,2,3,4,1,3] => [3,1,4,3,2,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,2,3,4,3,1] => [1,3,4,3,2,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,2,4,1,3,3] => [3,3,1,4,2,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,2,4,3,1,3] => [3,1,3,4,2,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,2,4,3,3,1] => [1,3,3,4,2,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,3,1,2,3,4] => [4,3,2,1,3,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,2,4,3] => [3,4,2,1,3,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,3,2,4] => [4,2,3,1,3,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,4,2] => [2,4,3,1,3,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,4,2,3] => [3,2,4,1,3,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,1,4,3,2] => [2,3,4,1,3,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,2,1,3,4] => [4,3,1,2,3,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,2,1,4,3] => [3,4,1,2,3,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,2,3,1,4] => [4,1,3,2,3,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,2,3,4,1] => [1,4,3,2,3,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,2,4,1,3] => [3,1,4,2,3,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,2,4,3,1] => [1,3,4,2,3,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,3,1,2,4] => [4,2,1,3,3,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,4,2] => [2,4,1,3,3,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,2,1,4] => [4,1,2,3,3,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,2,4,1] => [1,4,2,3,3,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,4,1,2] => [2,1,4,3,3,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,4,2,1] => [1,2,4,3,3,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,4,1,2,3] => [3,2,1,4,3,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,4,1,3,2] => [2,3,1,4,3,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,4,2,1,3] => [3,1,2,4,3,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,4,2,3,1] => [1,3,2,4,3,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,4,3,1,2] => [2,1,3,4,3,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,4,3,2,1] => [1,2,3,4,3,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,4,1,2,3,3] => [3,3,2,1,4,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,4,1,3,2,3] => [3,2,3,1,4,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,4,1,3,3,2] => [2,3,3,1,4,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,4,2,1,3,3] => [3,3,1,2,4,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,4,2,3,1,3] => [3,1,3,2,4,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,4,2,3,3,1] => [1,3,3,2,4,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,4,3,1,2,3] => [3,2,1,3,4,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,4,3,1,3,2] => [2,3,1,3,4,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,4,3,2,1,3] => [3,1,2,3,4,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,4,3,2,3,1] => [1,3,2,3,4,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,4,3,3,1,2] => [2,1,3,3,4,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,4,3,3,2,1] => [1,2,3,3,4,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,1,1,3,3,4] => [4,3,3,1,1,2] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[2,1,1,3,4,3] => [3,4,3,1,1,2] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[2,1,1,4,3,3] => [3,3,4,1,1,2] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[2,1,3,1,3,4] => [4,3,1,3,1,2] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[2,1,3,1,4,3] => [3,4,1,3,1,2] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[2,1,3,3,1,4] => [4,1,3,3,1,2] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[2,1,3,3,4,1] => [1,4,3,3,1,2] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[2,1,3,4,1,3] => [3,1,4,3,1,2] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[2,1,3,4,3,1] => [1,3,4,3,1,2] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[2,1,4,1,3,3] => [3,3,1,4,1,2] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[2,1,4,3,1,3] => [3,1,3,4,1,2] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[2,1,4,3,3,1] => [1,3,3,4,1,2] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,1,1,3,4] => [4,3,1,1,3,2] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[2,3,1,1,4,3] => [3,4,1,1,3,2] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[2,3,1,3,1,4] => [4,1,3,1,3,2] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[2,3,1,3,4,1] => [1,4,3,1,3,2] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[2,3,1,4,1,3] => [3,1,4,1,3,2] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[2,3,1,4,3,1] => [1,3,4,1,3,2] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[2,3,3,1,1,4] => [4,1,1,3,3,2] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[2,3,3,1,4,1] => [1,4,1,3,3,2] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[2,3,3,4,1,1] => [1,1,4,3,3,2] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[2,3,4,1,1,3] => [3,1,1,4,3,2] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,4,1,3,1] => [1,3,1,4,3,2] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[2,3,4,3,1,1] => [1,1,3,4,3,2] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[2,4,1,1,3,3] => [3,3,1,1,4,2] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[2,4,1,3,1,3] => [3,1,3,1,4,2] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[2,4,1,3,3,1] => [1,3,3,1,4,2] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[2,4,3,1,1,3] => [3,1,1,3,4,2] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[2,4,3,1,3,1] => [1,3,1,3,4,2] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[2,4,3,3,1,1] => [1,1,3,3,4,2] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[3,1,1,2,3,4] => [4,3,2,1,1,3] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,2,4,3] => [3,4,2,1,1,3] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,3,2,4] => [4,2,3,1,1,3] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,4,2] => [2,4,3,1,1,3] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,4,2,3] => [3,2,4,1,1,3] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,1,4,3,2] => [2,3,4,1,1,3] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,2,1,3,4] => [4,3,1,2,1,3] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,2,1,4,3] => [3,4,1,2,1,3] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,2,3,1,4] => [4,1,3,2,1,3] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,2,3,4,1] => [1,4,3,2,1,3] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,2,4,1,3] => [3,1,4,2,1,3] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,2,4,3,1] => [1,3,4,2,1,3] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,3,1,2,4] => [4,2,1,3,1,3] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,4,2] => [2,4,1,3,1,3] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,2,1,4] => [4,1,2,3,1,3] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,2,4,1] => [1,4,2,3,1,3] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,4,1,2] => [2,1,4,3,1,3] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,4,2,1] => [1,2,4,3,1,3] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,4,1,2,3] => [3,2,1,4,1,3] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,4,1,3,2] => [2,3,1,4,1,3] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,4,2,1,3] => [3,1,2,4,1,3] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,4,2,3,1] => [1,3,2,4,1,3] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,1,4,3,1,2] => [2,1,3,4,1,3] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,4,3,2,1] => [1,2,3,4,1,3] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,1,1,3,4] => [4,3,1,1,2,3] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,2,1,1,4,3] => [3,4,1,1,2,3] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,2,1,3,1,4] => [4,1,3,1,2,3] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,2,1,3,4,1] => [1,4,3,1,2,3] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,2,1,4,1,3] => [3,1,4,1,2,3] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,2,1,4,3,1] => [1,3,4,1,2,3] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,2,3,1,1,4] => [4,1,1,3,2,3] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,2,3,1,4,1] => [1,4,1,3,2,3] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,2,3,4,1,1] => [1,1,4,3,2,3] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,2,4,1,1,3] => [3,1,1,4,2,3] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,2,4,1,3,1] => [1,3,1,4,2,3] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,2,4,3,1,1] => [1,1,3,4,2,3] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,3,1,1,2,4] => [4,2,1,1,3,3] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,4,2] => [2,4,1,1,3,3] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,2,1,4] => [4,1,2,1,3,3] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,2,4,1] => [1,4,2,1,3,3] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,4,1,2] => [2,1,4,1,3,3] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,4,2,1] => [1,2,4,1,3,3] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,1,1,4] => [4,1,1,2,3,3] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,2,1,4,1] => [1,4,1,2,3,3] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,2,4,1,1] => [1,1,4,2,3,3] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,4,1,1,2] => [2,1,1,4,3,3] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,4,1,2,1] => [1,2,1,4,3,3] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,4,2,1,1] => [1,1,2,4,3,3] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,4,1,1,2,3] => [3,2,1,1,4,3] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,4,1,1,3,2] => [2,3,1,1,4,3] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,4,1,2,1,3] => [3,1,2,1,4,3] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,4,1,2,3,1] => [1,3,2,1,4,3] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,4,1,3,1,2] => [2,1,3,1,4,3] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,4,1,3,2,1] => [1,2,3,1,4,3] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,4,2,1,1,3] => [3,1,1,2,4,3] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,4,2,1,3,1] => [1,3,1,2,4,3] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,4,2,3,1,1] => [1,1,3,2,4,3] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,4,3,1,1,2] => [2,1,1,3,4,3] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[3,4,3,1,2,1] => [1,2,1,3,4,3] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,4,3,2,1,1] => [1,1,2,3,4,3] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[4,1,1,2,3,3] => [3,3,2,1,1,4] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[4,1,1,3,2,3] => [3,2,3,1,1,4] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[4,1,1,3,3,2] => [2,3,3,1,1,4] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[4,1,2,1,3,3] => [3,3,1,2,1,4] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[4,1,2,3,1,3] => [3,1,3,2,1,4] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[4,1,2,3,3,1] => [1,3,3,2,1,4] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[4,1,3,1,2,3] => [3,2,1,3,1,4] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[4,1,3,1,3,2] => [2,3,1,3,1,4] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[4,1,3,2,1,3] => [3,1,2,3,1,4] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[4,1,3,2,3,1] => [1,3,2,3,1,4] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[4,1,3,3,1,2] => [2,1,3,3,1,4] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[4,1,3,3,2,1] => [1,2,3,3,1,4] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[4,2,1,1,3,3] => [3,3,1,1,2,4] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[4,2,1,3,1,3] => [3,1,3,1,2,4] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[4,2,1,3,3,1] => [1,3,3,1,2,4] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[4,2,3,1,1,3] => [3,1,1,3,2,4] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[4,2,3,1,3,1] => [1,3,1,3,2,4] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[4,2,3,3,1,1] => [1,1,3,3,2,4] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[4,3,1,1,2,3] => [3,2,1,1,3,4] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[4,3,1,1,3,2] => [2,3,1,1,3,4] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[4,3,1,2,1,3] => [3,1,2,1,3,4] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[4,3,1,2,3,1] => [1,3,2,1,3,4] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[4,3,1,3,1,2] => [2,1,3,1,3,4] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[4,3,1,3,2,1] => [1,2,3,1,3,4] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[4,3,2,1,1,3] => [3,1,1,2,3,4] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[4,3,2,1,3,1] => [1,3,1,2,3,4] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[4,3,2,3,1,1] => [1,1,3,2,3,4] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[4,3,3,1,1,2] => [2,1,1,3,3,4] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[4,3,3,1,2,1] => [1,2,1,3,3,4] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[4,3,3,2,1,1] => [1,1,2,3,3,4] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,2,3,3,5] => [5,3,3,2,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,2,3,5,3] => [3,5,3,2,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,2,5,3,3] => [3,3,5,2,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,3,2,3,5] => [5,3,2,3,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,2,5,3] => [3,5,2,3,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,3,2,5] => [5,2,3,3,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,5,2] => [2,5,3,3,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,5,2,3] => [3,2,5,3,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,5,3,2] => [2,3,5,3,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,5,2,3,3] => [3,3,2,5,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,5,3,2,3] => [3,2,3,5,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,3,3,2] => [2,3,3,5,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,2,1,3,3,5] => [5,3,3,1,2,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,2,1,3,5,3] => [3,5,3,1,2,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,2,1,5,3,3] => [3,3,5,1,2,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,2,3,1,3,5] => [5,3,1,3,2,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,2,3,1,5,3] => [3,5,1,3,2,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,2,3,3,1,5] => [5,1,3,3,2,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,2,3,3,5,1] => [1,5,3,3,2,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,2,3,5,1,3] => [3,1,5,3,2,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,2,3,5,3,1] => [1,3,5,3,2,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,2,5,1,3,3] => [3,3,1,5,2,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,2,5,3,1,3] => [3,1,3,5,2,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,2,5,3,3,1] => [1,3,3,5,2,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,3,1,2,3,5] => [5,3,2,1,3,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,2,5,3] => [3,5,2,1,3,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,3,2,5] => [5,2,3,1,3,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,5,2] => [2,5,3,1,3,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,5,2,3] => [3,2,5,1,3,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,1,5,3,2] => [2,3,5,1,3,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,2,1,3,5] => [5,3,1,2,3,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,2,1,5,3] => [3,5,1,2,3,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,2,3,1,5] => [5,1,3,2,3,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,2,3,5,1] => [1,5,3,2,3,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,2,5,1,3] => [3,1,5,2,3,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,2,5,3,1] => [1,3,5,2,3,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,3,1,2,5] => [5,2,1,3,3,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,5,2] => [2,5,1,3,3,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,2,1,5] => [5,1,2,3,3,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,2,5,1] => [1,5,2,3,3,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,5,1,2] => [2,1,5,3,3,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,5,2,1] => [1,2,5,3,3,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,5,1,2,3] => [3,2,1,5,3,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,5,1,3,2] => [2,3,1,5,3,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,5,2,1,3] => [3,1,2,5,3,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,5,2,3,1] => [1,3,2,5,3,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,5,3,1,2] => [2,1,3,5,3,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,5,3,2,1] => [1,2,3,5,3,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,5,1,2,3,3] => [3,3,2,1,5,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,1,3,2,3] => [3,2,3,1,5,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,3,3,2] => [2,3,3,1,5,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,2,1,3,3] => [3,3,1,2,5,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,2,3,1,3] => [3,1,3,2,5,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,2,3,3,1] => [1,3,3,2,5,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,5,3,1,2,3] => [3,2,1,3,5,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,3,1,3,2] => [2,3,1,3,5,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,3,2,1,3] => [3,1,2,3,5,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,3,2,3,1] => [1,3,2,3,5,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,3,3,1,2] => [2,1,3,3,5,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,3,3,2,1] => [1,2,3,3,5,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,1,1,3,3,5] => [5,3,3,1,1,2] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[2,1,1,3,5,3] => [3,5,3,1,1,2] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[2,1,1,5,3,3] => [3,3,5,1,1,2] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[2,1,3,1,3,5] => [5,3,1,3,1,2] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[2,1,3,1,5,3] => [3,5,1,3,1,2] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[2,1,3,3,1,5] => [5,1,3,3,1,2] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[2,1,3,3,5,1] => [1,5,3,3,1,2] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[2,1,3,5,1,3] => [3,1,5,3,1,2] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[2,1,3,5,3,1] => [1,3,5,3,1,2] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[2,1,5,1,3,3] => [3,3,1,5,1,2] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[2,1,5,3,1,3] => [3,1,3,5,1,2] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[2,1,5,3,3,1] => [1,3,3,5,1,2] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,1,1,3,5] => [5,3,1,1,3,2] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[2,3,1,1,5,3] => [3,5,1,1,3,2] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[2,3,1,3,1,5] => [5,1,3,1,3,2] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[2,3,1,3,5,1] => [1,5,3,1,3,2] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[2,3,1,5,1,3] => [3,1,5,1,3,2] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[2,3,1,5,3,1] => [1,3,5,1,3,2] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[2,3,3,1,1,5] => [5,1,1,3,3,2] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[2,3,3,1,5,1] => [1,5,1,3,3,2] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[2,3,3,5,1,1] => [1,1,5,3,3,2] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[2,3,5,1,1,3] => [3,1,1,5,3,2] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,5,1,3,1] => [1,3,1,5,3,2] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[2,3,5,3,1,1] => [1,1,3,5,3,2] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[2,5,1,1,3,3] => [3,3,1,1,5,2] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[2,5,1,3,1,3] => [3,1,3,1,5,2] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[2,5,1,3,3,1] => [1,3,3,1,5,2] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[2,5,3,1,1,3] => [3,1,1,3,5,2] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[2,5,3,1,3,1] => [1,3,1,3,5,2] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[2,5,3,3,1,1] => [1,1,3,3,5,2] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[3,1,1,2,3,5] => [5,3,2,1,1,3] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,2,5,3] => [3,5,2,1,1,3] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,3,2,5] => [5,2,3,1,1,3] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,5,2] => [2,5,3,1,1,3] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,5,2,3] => [3,2,5,1,1,3] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,1,5,3,2] => [2,3,5,1,1,3] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,2,1,3,5] => [5,3,1,2,1,3] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,2,1,5,3] => [3,5,1,2,1,3] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,2,3,1,5] => [5,1,3,2,1,3] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,2,3,5,1] => [1,5,3,2,1,3] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,2,5,1,3] => [3,1,5,2,1,3] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,2,5,3,1] => [1,3,5,2,1,3] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,3,1,2,5] => [5,2,1,3,1,3] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,5,2] => [2,5,1,3,1,3] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,2,1,5] => [5,1,2,3,1,3] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,2,5,1] => [1,5,2,3,1,3] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,5,1,2] => [2,1,5,3,1,3] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,5,2,1] => [1,2,5,3,1,3] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,5,1,2,3] => [3,2,1,5,1,3] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,5,1,3,2] => [2,3,1,5,1,3] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,5,2,1,3] => [3,1,2,5,1,3] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,5,2,3,1] => [1,3,2,5,1,3] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,1,5,3,1,2] => [2,1,3,5,1,3] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,5,3,2,1] => [1,2,3,5,1,3] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,1,1,3,5] => [5,3,1,1,2,3] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,2,1,1,5,3] => [3,5,1,1,2,3] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,2,1,3,1,5] => [5,1,3,1,2,3] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,2,1,3,5,1] => [1,5,3,1,2,3] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,2,1,5,1,3] => [3,1,5,1,2,3] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,2,1,5,3,1] => [1,3,5,1,2,3] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,2,3,1,1,5] => [5,1,1,3,2,3] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,2,3,1,5,1] => [1,5,1,3,2,3] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,2,3,5,1,1] => [1,1,5,3,2,3] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,2,5,1,1,3] => [3,1,1,5,2,3] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,2,5,1,3,1] => [1,3,1,5,2,3] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,2,5,3,1,1] => [1,1,3,5,2,3] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,3,1,1,2,5] => [5,2,1,1,3,3] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,5,2] => [2,5,1,1,3,3] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,2,1,5] => [5,1,2,1,3,3] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,2,5,1] => [1,5,2,1,3,3] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,5,1,2] => [2,1,5,1,3,3] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,5,2,1] => [1,2,5,1,3,3] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,1,1,5] => [5,1,1,2,3,3] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,2,1,5,1] => [1,5,1,2,3,3] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,2,5,1,1] => [1,1,5,2,3,3] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,5,1,1,2] => [2,1,1,5,3,3] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,5,1,2,1] => [1,2,1,5,3,3] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,5,2,1,1] => [1,1,2,5,3,3] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,5,1,1,2,3] => [3,2,1,1,5,3] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,5,1,1,3,2] => [2,3,1,1,5,3] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,5,1,2,1,3] => [3,1,2,1,5,3] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,5,1,2,3,1] => [1,3,2,1,5,3] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,5,1,3,1,2] => [2,1,3,1,5,3] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,5,1,3,2,1] => [1,2,3,1,5,3] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,5,2,1,1,3] => [3,1,1,2,5,3] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,5,2,1,3,1] => [1,3,1,2,5,3] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,5,2,3,1,1] => [1,1,3,2,5,3] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,5,3,1,1,2] => [2,1,1,3,5,3] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[3,5,3,1,2,1] => [1,2,1,3,5,3] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,5,3,2,1,1] => [1,1,2,3,5,3] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[5,1,1,2,3,3] => [3,3,2,1,1,5] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,1,3,2,3] => [3,2,3,1,1,5] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,3,3,2] => [2,3,3,1,1,5] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,2,1,3,3] => [3,3,1,2,1,5] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,2,3,1,3] => [3,1,3,2,1,5] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,2,3,3,1] => [1,3,3,2,1,5] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[5,1,3,1,2,3] => [3,2,1,3,1,5] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,3,1,3,2] => [2,3,1,3,1,5] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,3,2,1,3] => [3,1,2,3,1,5] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,3,2,3,1] => [1,3,2,3,1,5] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,3,3,1,2] => [2,1,3,3,1,5] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,3,3,2,1] => [1,2,3,3,1,5] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,1,1,3,3] => [3,3,1,1,2,5] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[5,2,1,3,1,3] => [3,1,3,1,2,5] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[5,2,1,3,3,1] => [1,3,3,1,2,5] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[5,2,3,1,1,3] => [3,1,1,3,2,5] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[5,2,3,1,3,1] => [1,3,1,3,2,5] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[5,2,3,3,1,1] => [1,1,3,3,2,5] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[5,3,1,1,2,3] => [3,2,1,1,3,5] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[5,3,1,1,3,2] => [2,3,1,1,3,5] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[5,3,1,2,1,3] => [3,1,2,1,3,5] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[5,3,1,2,3,1] => [1,3,2,1,3,5] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[5,3,1,3,1,2] => [2,1,3,1,3,5] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[5,3,1,3,2,1] => [1,2,3,1,3,5] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[5,3,2,1,1,3] => [3,1,1,2,3,5] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[5,3,2,1,3,1] => [1,3,1,2,3,5] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[5,3,2,3,1,1] => [1,1,3,2,3,5] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[5,3,3,1,1,2] => [2,1,1,3,3,5] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[5,3,3,1,2,1] => [1,2,1,3,3,5] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[5,3,3,2,1,1] => [1,1,2,3,3,5] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,2,3,3,6] => [6,3,3,2,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,2,3,6,3] => [3,6,3,2,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,2,6,3,3] => [3,3,6,2,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,3,2,3,6] => [6,3,2,3,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,2,6,3] => [3,6,2,3,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,3,2,6] => [6,2,3,3,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,6,2] => [2,6,3,3,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,6,2,3] => [3,2,6,3,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,3,6,3,2] => [2,3,6,3,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,6,2,3,3] => [3,3,2,6,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,6,3,2,3] => [3,2,3,6,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,3,3,2] => [2,3,3,6,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,2,1,3,3,6] => [6,3,3,1,2,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,2,1,3,6,3] => [3,6,3,1,2,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,2,1,6,3,3] => [3,3,6,1,2,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,2,3,1,3,6] => [6,3,1,3,2,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,2,3,1,6,3] => [3,6,1,3,2,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,2,3,3,1,6] => [6,1,3,3,2,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,2,3,3,6,1] => [1,6,3,3,2,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,2,3,6,1,3] => [3,1,6,3,2,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,2,3,6,3,1] => [1,3,6,3,2,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,2,6,1,3,3] => [3,3,1,6,2,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,2,6,3,1,3] => [3,1,3,6,2,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,2,6,3,3,1] => [1,3,3,6,2,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,3,1,2,3,6] => [6,3,2,1,3,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,2,6,3] => [3,6,2,1,3,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,3,2,6] => [6,2,3,1,3,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,6,2] => [2,6,3,1,3,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,6,2,3] => [3,2,6,1,3,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,1,6,3,2] => [2,3,6,1,3,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,2,1,3,6] => [6,3,1,2,3,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,2,1,6,3] => [3,6,1,2,3,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,2,3,1,6] => [6,1,3,2,3,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,2,3,6,1] => [1,6,3,2,3,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,2,6,1,3] => [3,1,6,2,3,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,2,6,3,1] => [1,3,6,2,3,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,3,1,2,6] => [6,2,1,3,3,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,6,2] => [2,6,1,3,3,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,2,1,6] => [6,1,2,3,3,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,2,6,1] => [1,6,2,3,3,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,6,1,2] => [2,1,6,3,3,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,6,2,1] => [1,2,6,3,3,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,6,1,2,3] => [3,2,1,6,3,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,6,1,3,2] => [2,3,1,6,3,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,6,2,1,3] => [3,1,2,6,3,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,6,2,3,1] => [1,3,2,6,3,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,3,6,3,1,2] => [2,1,3,6,3,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,6,3,2,1] => [1,2,3,6,3,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,6,1,2,3,3] => [3,3,2,1,6,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,1,3,2,3] => [3,2,3,1,6,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,3,3,2] => [2,3,3,1,6,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,2,1,3,3] => [3,3,1,2,6,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,2,3,1,3] => [3,1,3,2,6,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,2,3,3,1] => [1,3,3,2,6,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,6,3,1,2,3] => [3,2,1,3,6,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,3,1,3,2] => [2,3,1,3,6,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,3,2,1,3] => [3,1,2,3,6,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,3,2,3,1] => [1,3,2,3,6,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,3,3,1,2] => [2,1,3,3,6,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,3,3,2,1] => [1,2,3,3,6,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,1,1,3,3,6] => [6,3,3,1,1,2] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[2,1,1,3,6,3] => [3,6,3,1,1,2] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[2,1,1,6,3,3] => [3,3,6,1,1,2] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[2,1,3,1,3,6] => [6,3,1,3,1,2] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[2,1,3,1,6,3] => [3,6,1,3,1,2] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[2,1,3,3,1,6] => [6,1,3,3,1,2] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[2,1,3,3,6,1] => [1,6,3,3,1,2] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[2,1,3,6,1,3] => [3,1,6,3,1,2] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[2,1,3,6,3,1] => [1,3,6,3,1,2] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[2,1,6,1,3,3] => [3,3,1,6,1,2] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[2,1,6,3,1,3] => [3,1,3,6,1,2] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[2,1,6,3,3,1] => [1,3,3,6,1,2] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,1,1,3,6] => [6,3,1,1,3,2] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[2,3,1,1,6,3] => [3,6,1,1,3,2] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[2,3,1,3,1,6] => [6,1,3,1,3,2] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[2,3,1,3,6,1] => [1,6,3,1,3,2] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[2,3,1,6,1,3] => [3,1,6,1,3,2] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[2,3,1,6,3,1] => [1,3,6,1,3,2] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[2,3,3,1,1,6] => [6,1,1,3,3,2] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[2,3,3,1,6,1] => [1,6,1,3,3,2] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[2,3,3,6,1,1] => [1,1,6,3,3,2] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[2,3,6,1,1,3] => [3,1,1,6,3,2] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[2,3,6,1,3,1] => [1,3,1,6,3,2] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[2,3,6,3,1,1] => [1,1,3,6,3,2] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[2,6,1,1,3,3] => [3,3,1,1,6,2] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[2,6,1,3,1,3] => [3,1,3,1,6,2] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[2,6,1,3,3,1] => [1,3,3,1,6,2] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[2,6,3,1,1,3] => [3,1,1,3,6,2] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[2,6,3,1,3,1] => [1,3,1,3,6,2] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[2,6,3,3,1,1] => [1,1,3,3,6,2] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[3,1,1,2,3,6] => [6,3,2,1,1,3] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,2,6,3] => [3,6,2,1,1,3] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,3,2,6] => [6,2,3,1,1,3] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,6,2] => [2,6,3,1,1,3] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,6,2,3] => [3,2,6,1,1,3] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,1,6,3,2] => [2,3,6,1,1,3] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,2,1,3,6] => [6,3,1,2,1,3] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,2,1,6,3] => [3,6,1,2,1,3] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,2,3,1,6] => [6,1,3,2,1,3] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,2,3,6,1] => [1,6,3,2,1,3] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,2,6,1,3] => [3,1,6,2,1,3] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,2,6,3,1] => [1,3,6,2,1,3] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,3,1,2,6] => [6,2,1,3,1,3] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,6,2] => [2,6,1,3,1,3] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,2,1,6] => [6,1,2,3,1,3] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,2,6,1] => [1,6,2,3,1,3] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,6,1,2] => [2,1,6,3,1,3] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,6,2,1] => [1,2,6,3,1,3] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,6,1,2,3] => [3,2,1,6,1,3] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,6,1,3,2] => [2,3,1,6,1,3] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,6,2,1,3] => [3,1,2,6,1,3] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,6,2,3,1] => [1,3,2,6,1,3] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,1,6,3,1,2] => [2,1,3,6,1,3] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,6,3,2,1] => [1,2,3,6,1,3] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,1,1,3,6] => [6,3,1,1,2,3] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,2,1,1,6,3] => [3,6,1,1,2,3] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,2,1,3,1,6] => [6,1,3,1,2,3] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,2,1,3,6,1] => [1,6,3,1,2,3] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,2,1,6,1,3] => [3,1,6,1,2,3] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,2,1,6,3,1] => [1,3,6,1,2,3] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,2,3,1,1,6] => [6,1,1,3,2,3] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,2,3,1,6,1] => [1,6,1,3,2,3] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,2,3,6,1,1] => [1,1,6,3,2,3] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,2,6,1,1,3] => [3,1,1,6,2,3] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,2,6,1,3,1] => [1,3,1,6,2,3] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,2,6,3,1,1] => [1,1,3,6,2,3] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,3,1,1,2,6] => [6,2,1,1,3,3] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,6,2] => [2,6,1,1,3,3] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,2,1,6] => [6,1,2,1,3,3] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,2,6,1] => [1,6,2,1,3,3] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,6,1,2] => [2,1,6,1,3,3] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,6,2,1] => [1,2,6,1,3,3] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,1,1,6] => [6,1,1,2,3,3] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,2,1,6,1] => [1,6,1,2,3,3] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,2,6,1,1] => [1,1,6,2,3,3] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,6,1,1,2] => [2,1,1,6,3,3] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,6,1,2,1] => [1,2,1,6,3,3] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,6,2,1,1] => [1,1,2,6,3,3] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,6,1,1,2,3] => [3,2,1,1,6,3] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,6,1,1,3,2] => [2,3,1,1,6,3] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,6,1,2,1,3] => [3,1,2,1,6,3] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,6,1,2,3,1] => [1,3,2,1,6,3] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,6,1,3,1,2] => [2,1,3,1,6,3] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,6,1,3,2,1] => [1,2,3,1,6,3] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,6,2,1,1,3] => [3,1,1,2,6,3] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,6,2,1,3,1] => [1,3,1,2,6,3] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,6,2,3,1,1] => [1,1,3,2,6,3] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,6,3,1,1,2] => [2,1,1,3,6,3] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[3,6,3,1,2,1] => [1,2,1,3,6,3] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,6,3,2,1,1] => [1,1,2,3,6,3] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[6,1,1,2,3,3] => [3,3,2,1,1,6] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,1,3,2,3] => [3,2,3,1,1,6] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,3,3,2] => [2,3,3,1,1,6] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,2,1,3,3] => [3,3,1,2,1,6] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,2,3,1,3] => [3,1,3,2,1,6] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,2,3,3,1] => [1,3,3,2,1,6] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[6,1,3,1,2,3] => [3,2,1,3,1,6] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,3,1,3,2] => [2,3,1,3,1,6] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,3,2,1,3] => [3,1,2,3,1,6] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,3,2,3,1] => [1,3,2,3,1,6] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,3,3,1,2] => [2,1,3,3,1,6] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,3,3,2,1] => [1,2,3,3,1,6] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,1,1,3,3] => [3,3,1,1,2,6] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[6,2,1,3,1,3] => [3,1,3,1,2,6] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[6,2,1,3,3,1] => [1,3,3,1,2,6] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[6,2,3,1,1,3] => [3,1,1,3,2,6] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[6,2,3,1,3,1] => [1,3,1,3,2,6] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[6,2,3,3,1,1] => [1,1,3,3,2,6] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[6,3,1,1,2,3] => [3,2,1,1,3,6] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[6,3,1,1,3,2] => [2,3,1,1,3,6] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[6,3,1,2,1,3] => [3,1,2,1,3,6] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[6,3,1,2,3,1] => [1,3,2,1,3,6] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[6,3,1,3,1,2] => [2,1,3,1,3,6] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[6,3,1,3,2,1] => [1,2,3,1,3,6] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[6,3,2,1,1,3] => [3,1,1,2,3,6] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,2,1,3,1] => [1,3,1,2,3,6] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[6,3,2,3,1,1] => [1,1,3,2,3,6] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[6,3,3,1,1,2] => [2,1,1,3,3,6] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[6,3,3,1,2,1] => [1,2,1,3,3,6] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[6,3,3,2,1,1] => [1,1,2,3,3,6] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,2,3,4,4] => [4,4,3,2,1,1] => [{5,6},{4},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,2,4,3,4] => [4,3,4,2,1,1] => [{5,6},{4},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,2,4,4,3] => [3,4,4,2,1,1] => [{5,6},{4},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,3,2,4,4] => [4,4,2,3,1,1] => [{5,6},{3},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,3,4,2,4] => [4,2,4,3,1,1] => [{5,6},{2},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,3,4,4,2] => [2,4,4,3,1,1] => [{5,6},{1},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,4,2,3,4] => [4,3,2,4,1,1] => [{5,6},{3},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,4,2,4,3] => [3,4,2,4,1,1] => [{5,6},{3},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,4,3,2,4] => [4,2,3,4,1,1] => [{5,6},{2},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,4,3,4,2] => [2,4,3,4,1,1] => [{5,6},{1},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,4,4,2,3] => [3,2,4,4,1,1] => [{5,6},{2},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,1,4,4,3,2] => [2,3,4,4,1,1] => [{5,6},{1},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,2,1,3,4,4] => [4,4,3,1,2,1] => [{4,6},{5},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,2,1,4,3,4] => [4,3,4,1,2,1] => [{4,6},{5},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,2,1,4,4,3] => [3,4,4,1,2,1] => [{4,6},{5},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,2,3,1,4,4] => [4,4,1,3,2,1] => [{3,6},{5},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,2,3,4,1,4] => [4,1,4,3,2,1] => [{2,6},{5},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,2,3,4,4,1] => [1,4,4,3,2,1] => [{1,6},{5},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,2,4,1,3,4] => [4,3,1,4,2,1] => [{3,6},{5},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,2,4,1,4,3] => [3,4,1,4,2,1] => [{3,6},{5},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,2,4,3,1,4] => [4,1,3,4,2,1] => [{2,6},{5},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,2,4,3,4,1] => [1,4,3,4,2,1] => [{1,6},{5},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,2,4,4,1,3] => [3,1,4,4,2,1] => [{2,6},{5},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,2,4,4,3,1] => [1,3,4,4,2,1] => [{1,6},{5},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,3,1,2,4,4] => [4,4,2,1,3,1] => [{4,6},{3},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,3,1,4,2,4] => [4,2,4,1,3,1] => [{4,6},{2},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,3,1,4,4,2] => [2,4,4,1,3,1] => [{4,6},{1},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,3,2,1,4,4] => [4,4,1,2,3,1] => [{3,6},{4},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,3,2,4,1,4] => [4,1,4,2,3,1] => [{2,6},{4},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,3,2,4,4,1] => [1,4,4,2,3,1] => [{1,6},{4},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,3,4,1,2,4] => [4,2,1,4,3,1] => [{3,6},{2},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,3,4,1,4,2] => [2,4,1,4,3,1] => [{3,6},{1},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,3,4,2,1,4] => [4,1,2,4,3,1] => [{2,6},{3},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,3,4,2,4,1] => [1,4,2,4,3,1] => [{1,6},{3},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,3,4,4,1,2] => [2,1,4,4,3,1] => [{2,6},{1},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,3,4,4,2,1] => [1,2,4,4,3,1] => [{1,6},{2},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,4,1,2,3,4] => [4,3,2,1,4,1] => [{4,6},{3},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,4,1,2,4,3] => [3,4,2,1,4,1] => [{4,6},{3},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,4,1,3,2,4] => [4,2,3,1,4,1] => [{4,6},{2},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,4,1,3,4,2] => [2,4,3,1,4,1] => [{4,6},{1},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,4,1,4,2,3] => [3,2,4,1,4,1] => [{4,6},{2},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,4,1,4,3,2] => [2,3,4,1,4,1] => [{4,6},{1},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,4,2,1,3,4] => [4,3,1,2,4,1] => [{3,6},{4},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,4,2,1,4,3] => [3,4,1,2,4,1] => [{3,6},{4},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,4,2,3,1,4] => [4,1,3,2,4,1] => [{2,6},{4},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,4,2,3,4,1] => [1,4,3,2,4,1] => [{1,6},{4},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,4,2,4,1,3] => [3,1,4,2,4,1] => [{2,6},{4},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,4,2,4,3,1] => [1,3,4,2,4,1] => [{1,6},{4},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,4,3,1,2,4] => [4,2,1,3,4,1] => [{3,6},{2},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,4,3,1,4,2] => [2,4,1,3,4,1] => [{3,6},{1},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,4,3,2,1,4] => [4,1,2,3,4,1] => [{2,6},{3},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,4,3,2,4,1] => [1,4,2,3,4,1] => [{1,6},{3},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,4,3,4,1,2] => [2,1,4,3,4,1] => [{2,6},{1},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,4,3,4,2,1] => [1,2,4,3,4,1] => [{1,6},{2},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,4,4,1,2,3] => [3,2,1,4,4,1] => [{3,6},{2},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,4,4,1,3,2] => [2,3,1,4,4,1] => [{3,6},{1},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,4,4,2,1,3] => [3,1,2,4,4,1] => [{2,6},{3},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,4,4,2,3,1] => [1,3,2,4,4,1] => [{1,6},{3},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[1,4,4,3,1,2] => [2,1,3,4,4,1] => [{2,6},{1},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,4,4,3,2,1] => [1,2,3,4,4,1] => [{1,6},{2},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,1,1,3,4,4] => [4,4,3,1,1,2] => [{4,5},{6},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[2,1,1,4,3,4] => [4,3,4,1,1,2] => [{4,5},{6},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[2,1,1,4,4,3] => [3,4,4,1,1,2] => [{4,5},{6},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[2,1,3,1,4,4] => [4,4,1,3,1,2] => [{3,5},{6},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[2,1,3,4,1,4] => [4,1,4,3,1,2] => [{2,5},{6},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[2,1,3,4,4,1] => [1,4,4,3,1,2] => [{1,5},{6},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[2,1,4,1,3,4] => [4,3,1,4,1,2] => [{3,5},{6},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[2,1,4,1,4,3] => [3,4,1,4,1,2] => [{3,5},{6},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[2,1,4,3,1,4] => [4,1,3,4,1,2] => [{2,5},{6},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[2,1,4,3,4,1] => [1,4,3,4,1,2] => [{1,5},{6},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[2,1,4,4,1,3] => [3,1,4,4,1,2] => [{2,5},{6},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[2,1,4,4,3,1] => [1,3,4,4,1,2] => [{1,5},{6},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[2,3,1,1,4,4] => [4,4,1,1,3,2] => [{3,4},{6},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[2,3,1,4,1,4] => [4,1,4,1,3,2] => [{2,4},{6},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[2,3,1,4,4,1] => [1,4,4,1,3,2] => [{1,4},{6},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[2,3,4,1,1,4] => [4,1,1,4,3,2] => [{2,3},{6},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[2,3,4,1,4,1] => [1,4,1,4,3,2] => [{1,3},{6},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[2,3,4,4,1,1] => [1,1,4,4,3,2] => [{1,2},{6},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[2,4,1,1,3,4] => [4,3,1,1,4,2] => [{3,4},{6},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[2,4,1,1,4,3] => [3,4,1,1,4,2] => [{3,4},{6},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[2,4,1,3,1,4] => [4,1,3,1,4,2] => [{2,4},{6},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[2,4,1,3,4,1] => [1,4,3,1,4,2] => [{1,4},{6},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[2,4,1,4,1,3] => [3,1,4,1,4,2] => [{2,4},{6},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[2,4,1,4,3,1] => [1,3,4,1,4,2] => [{1,4},{6},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[2,4,3,1,1,4] => [4,1,1,3,4,2] => [{2,3},{6},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[2,4,3,1,4,1] => [1,4,1,3,4,2] => [{1,3},{6},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[2,4,3,4,1,1] => [1,1,4,3,4,2] => [{1,2},{6},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[2,4,4,1,1,3] => [3,1,1,4,4,2] => [{2,3},{6},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[2,4,4,1,3,1] => [1,3,1,4,4,2] => [{1,3},{6},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[2,4,4,3,1,1] => [1,1,3,4,4,2] => [{1,2},{6},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[3,1,1,2,4,4] => [4,4,2,1,1,3] => [{4,5},{3},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[3,1,1,4,2,4] => [4,2,4,1,1,3] => [{4,5},{2},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[3,1,1,4,4,2] => [2,4,4,1,1,3] => [{4,5},{1},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[3,1,2,1,4,4] => [4,4,1,2,1,3] => [{3,5},{4},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[3,1,2,4,1,4] => [4,1,4,2,1,3] => [{2,5},{4},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[3,1,2,4,4,1] => [1,4,4,2,1,3] => [{1,5},{4},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[3,1,4,1,2,4] => [4,2,1,4,1,3] => [{3,5},{2},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[3,1,4,1,4,2] => [2,4,1,4,1,3] => [{3,5},{1},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[3,1,4,2,1,4] => [4,1,2,4,1,3] => [{2,5},{3},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[3,1,4,2,4,1] => [1,4,2,4,1,3] => [{1,5},{3},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[3,1,4,4,1,2] => [2,1,4,4,1,3] => [{2,5},{1},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[3,1,4,4,2,1] => [1,2,4,4,1,3] => [{1,5},{2},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[3,2,1,1,4,4] => [4,4,1,1,2,3] => [{3,4},{5},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[3,2,1,4,1,4] => [4,1,4,1,2,3] => [{2,4},{5},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[3,2,1,4,4,1] => [1,4,4,1,2,3] => [{1,4},{5},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[3,2,4,1,1,4] => [4,1,1,4,2,3] => [{2,3},{5},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[3,2,4,1,4,1] => [1,4,1,4,2,3] => [{1,3},{5},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[3,2,4,4,1,1] => [1,1,4,4,2,3] => [{1,2},{5},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[3,4,1,1,2,4] => [4,2,1,1,4,3] => [{3,4},{2},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[3,4,1,1,4,2] => [2,4,1,1,4,3] => [{3,4},{1},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[3,4,1,2,1,4] => [4,1,2,1,4,3] => [{2,4},{3},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[3,4,1,2,4,1] => [1,4,2,1,4,3] => [{1,4},{3},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[3,4,1,4,1,2] => [2,1,4,1,4,3] => [{2,4},{1},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[3,4,1,4,2,1] => [1,2,4,1,4,3] => [{1,4},{2},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[3,4,2,1,1,4] => [4,1,1,2,4,3] => [{2,3},{4},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[3,4,2,1,4,1] => [1,4,1,2,4,3] => [{1,3},{4},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[3,4,2,4,1,1] => [1,1,4,2,4,3] => [{1,2},{4},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[3,4,4,1,1,2] => [2,1,1,4,4,3] => [{2,3},{1},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[3,4,4,1,2,1] => [1,2,1,4,4,3] => [{1,3},{2},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[3,4,4,2,1,1] => [1,1,2,4,4,3] => [{1,2},{3},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[4,1,1,2,3,4] => [4,3,2,1,1,4] => [{4,5},{3},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,1,1,2,4,3] => [3,4,2,1,1,4] => [{4,5},{3},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,1,1,3,2,4] => [4,2,3,1,1,4] => [{4,5},{2},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,1,1,3,4,2] => [2,4,3,1,1,4] => [{4,5},{1},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,1,1,4,2,3] => [3,2,4,1,1,4] => [{4,5},{2},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,1,1,4,3,2] => [2,3,4,1,1,4] => [{4,5},{1},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,1,2,1,3,4] => [4,3,1,2,1,4] => [{3,5},{4},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,1,2,1,4,3] => [3,4,1,2,1,4] => [{3,5},{4},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,1,2,3,1,4] => [4,1,3,2,1,4] => [{2,5},{4},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,1,2,3,4,1] => [1,4,3,2,1,4] => [{1,5},{4},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,1,2,4,1,3] => [3,1,4,2,1,4] => [{2,5},{4},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,1,2,4,3,1] => [1,3,4,2,1,4] => [{1,5},{4},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,1,3,1,2,4] => [4,2,1,3,1,4] => [{3,5},{2},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,1,3,1,4,2] => [2,4,1,3,1,4] => [{3,5},{1},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,1,3,2,1,4] => [4,1,2,3,1,4] => [{2,5},{3},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,1,3,2,4,1] => [1,4,2,3,1,4] => [{1,5},{3},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,1,3,4,1,2] => [2,1,4,3,1,4] => [{2,5},{1},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,1,3,4,2,1] => [1,2,4,3,1,4] => [{1,5},{2},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,1,4,1,2,3] => [3,2,1,4,1,4] => [{3,5},{2},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,1,4,1,3,2] => [2,3,1,4,1,4] => [{3,5},{1},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,1,4,2,1,3] => [3,1,2,4,1,4] => [{2,5},{3},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,1,4,2,3,1] => [1,3,2,4,1,4] => [{1,5},{3},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,1,4,3,1,2] => [2,1,3,4,1,4] => [{2,5},{1},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,1,4,3,2,1] => [1,2,3,4,1,4] => [{1,5},{2},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,2,1,1,3,4] => [4,3,1,1,2,4] => [{3,4},{5},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,2,1,1,4,3] => [3,4,1,1,2,4] => [{3,4},{5},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,2,1,3,1,4] => [4,1,3,1,2,4] => [{2,4},{5},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,2,1,3,4,1] => [1,4,3,1,2,4] => [{1,4},{5},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,2,1,4,1,3] => [3,1,4,1,2,4] => [{2,4},{5},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,2,1,4,3,1] => [1,3,4,1,2,4] => [{1,4},{5},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,2,3,1,1,4] => [4,1,1,3,2,4] => [{2,3},{5},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,2,3,1,4,1] => [1,4,1,3,2,4] => [{1,3},{5},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,2,3,4,1,1] => [1,1,4,3,2,4] => [{1,2},{5},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,2,4,1,1,3] => [3,1,1,4,2,4] => [{2,3},{5},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,2,4,1,3,1] => [1,3,1,4,2,4] => [{1,3},{5},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,2,4,3,1,1] => [1,1,3,4,2,4] => [{1,2},{5},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,3,1,1,2,4] => [4,2,1,1,3,4] => [{3,4},{2},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,3,1,1,4,2] => [2,4,1,1,3,4] => [{3,4},{1},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,3,1,2,1,4] => [4,1,2,1,3,4] => [{2,4},{3},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,3,1,2,4,1] => [1,4,2,1,3,4] => [{1,4},{3},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,3,1,4,1,2] => [2,1,4,1,3,4] => [{2,4},{1},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,3,1,4,2,1] => [1,2,4,1,3,4] => [{1,4},{2},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,3,2,1,1,4] => [4,1,1,2,3,4] => [{2,3},{4},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,3,2,1,4,1] => [1,4,1,2,3,4] => [{1,3},{4},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,3,2,4,1,1] => [1,1,4,2,3,4] => [{1,2},{4},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,3,4,1,1,2] => [2,1,1,4,3,4] => [{2,3},{1},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,3,4,1,2,1] => [1,2,1,4,3,4] => [{1,3},{2},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,3,4,2,1,1] => [1,1,2,4,3,4] => [{1,2},{3},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,4,1,1,2,3] => [3,2,1,1,4,4] => [{3,4},{2},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[4,4,1,1,3,2] => [2,3,1,1,4,4] => [{3,4},{1},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[4,4,1,2,1,3] => [3,1,2,1,4,4] => [{2,4},{3},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,1,2,3,1] => [1,3,2,1,4,4] => [{1,4},{3},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,1,3,1,2] => [2,1,3,1,4,4] => [{2,4},{1},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,1,3,2,1] => [1,2,3,1,4,4] => [{1,4},{2},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,2,1,1,3] => [3,1,1,2,4,4] => [{2,3},{4},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[4,4,2,1,3,1] => [1,3,1,2,4,4] => [{1,3},{4},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,2,3,1,1] => [1,1,3,2,4,4] => [{1,2},{4},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[4,4,3,1,1,2] => [2,1,1,3,4,4] => [{2,3},{1},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[4,4,3,1,2,1] => [1,2,1,3,4,4] => [{1,3},{2},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,3,2,1,1] => [1,1,2,3,4,4] => [{1,2},{3},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[1,1,2,3,4,5] => [5,4,3,2,1,1] => [{5,6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,3,5,4] => [4,5,3,2,1,1] => [{5,6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,4,3,5] => [5,3,4,2,1,1] => [{5,6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,4,5,3] => [3,5,4,2,1,1] => [{5,6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,3,4] => [4,3,5,2,1,1] => [{5,6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,4,3] => [3,4,5,2,1,1] => [{5,6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,4,5] => [5,4,2,3,1,1] => [{5,6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,5,4] => [4,5,2,3,1,1] => [{5,6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,4,2,5] => [5,2,4,3,1,1] => [{5,6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,4,5,2] => [2,5,4,3,1,1] => [{5,6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,2,4] => [4,2,5,3,1,1] => [{5,6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,4,2] => [2,4,5,3,1,1] => [{5,6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,3,5] => [5,3,2,4,1,1] => [{5,6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,5,3] => [3,5,2,4,1,1] => [{5,6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,2,5] => [5,2,3,4,1,1] => [{5,6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,5,2] => [2,5,3,4,1,1] => [{5,6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,2,3] => [3,2,5,4,1,1] => [{5,6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,3,2] => [2,3,5,4,1,1] => [{5,6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,3,4] => [4,3,2,5,1,1] => [{5,6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,4,3] => [3,4,2,5,1,1] => [{5,6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,2,4] => [4,2,3,5,1,1] => [{5,6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,4,2] => [2,4,3,5,1,1] => [{5,6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,2,3] => [3,2,4,5,1,1] => [{5,6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,3,2] => [2,3,4,5,1,1] => [{5,6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,2,1,3,4,5] => [5,4,3,1,2,1] => [{4,6},{5},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,3,5,4] => [4,5,3,1,2,1] => [{4,6},{5},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,4,3,5] => [5,3,4,1,2,1] => [{4,6},{5},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,4,5,3] => [3,5,4,1,2,1] => [{4,6},{5},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,3,4] => [4,3,5,1,2,1] => [{4,6},{5},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,4,3] => [3,4,5,1,2,1] => [{4,6},{5},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,3,1,4,5] => [5,4,1,3,2,1] => [{3,6},{5},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,1,5,4] => [4,5,1,3,2,1] => [{3,6},{5},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,4,1,5] => [5,1,4,3,2,1] => [{2,6},{5},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,4,5,1] => [1,5,4,3,2,1] => [{1,6},{5},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,3,5,1,4] => [4,1,5,3,2,1] => [{2,6},{5},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,5,4,1] => [1,4,5,3,2,1] => [{1,6},{5},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,4,1,3,5] => [5,3,1,4,2,1] => [{3,6},{5},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,1,5,3] => [3,5,1,4,2,1] => [{3,6},{5},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,3,1,5] => [5,1,3,4,2,1] => [{2,6},{5},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,3,5,1] => [1,5,3,4,2,1] => [{1,6},{5},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,4,5,1,3] => [3,1,5,4,2,1] => [{2,6},{5},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,5,3,1] => [1,3,5,4,2,1] => [{1,6},{5},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,1,3,4] => [4,3,1,5,2,1] => [{3,6},{5},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,1,4,3] => [3,4,1,5,2,1] => [{3,6},{5},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,3,1,4] => [4,1,3,5,2,1] => [{2,6},{5},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,3,4,1] => [1,4,3,5,2,1] => [{1,6},{5},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,4,1,3] => [3,1,4,5,2,1] => [{2,6},{5},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,4,3,1] => [1,3,4,5,2,1] => [{1,6},{5},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,1,2,4,5] => [5,4,2,1,3,1] => [{4,6},{3},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,2,5,4] => [4,5,2,1,3,1] => [{4,6},{3},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,4,2,5] => [5,2,4,1,3,1] => [{4,6},{2},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,4,5,2] => [2,5,4,1,3,1] => [{4,6},{1},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,2,4] => [4,2,5,1,3,1] => [{4,6},{2},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,4,2] => [2,4,5,1,3,1] => [{4,6},{1},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,2,1,4,5] => [5,4,1,2,3,1] => [{3,6},{4},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,1,5,4] => [4,5,1,2,3,1] => [{3,6},{4},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,4,1,5] => [5,1,4,2,3,1] => [{2,6},{4},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,4,5,1] => [1,5,4,2,3,1] => [{1,6},{4},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,2,5,1,4] => [4,1,5,2,3,1] => [{2,6},{4},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,5,4,1] => [1,4,5,2,3,1] => [{1,6},{4},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,4,1,2,5] => [5,2,1,4,3,1] => [{3,6},{2},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,1,5,2] => [2,5,1,4,3,1] => [{3,6},{1},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,2,1,5] => [5,1,2,4,3,1] => [{2,6},{3},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,2,5,1] => [1,5,2,4,3,1] => [{1,6},{3},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,4,5,1,2] => [2,1,5,4,3,1] => [{2,6},{1},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,5,2,1] => [1,2,5,4,3,1] => [{1,6},{2},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,1,2,4] => [4,2,1,5,3,1] => [{3,6},{2},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,1,4,2] => [2,4,1,5,3,1] => [{3,6},{1},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,2,1,4] => [4,1,2,5,3,1] => [{2,6},{3},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,2,4,1] => [1,4,2,5,3,1] => [{1,6},{3},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,4,1,2] => [2,1,4,5,3,1] => [{2,6},{1},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,4,2,1] => [1,2,4,5,3,1] => [{1,6},{2},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,1,2,3,5] => [5,3,2,1,4,1] => [{4,6},{3},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,2,5,3] => [3,5,2,1,4,1] => [{4,6},{3},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,3,2,5] => [5,2,3,1,4,1] => [{4,6},{2},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,3,5,2] => [2,5,3,1,4,1] => [{4,6},{1},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,2,3] => [3,2,5,1,4,1] => [{4,6},{2},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,3,2] => [2,3,5,1,4,1] => [{4,6},{1},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,2,1,3,5] => [5,3,1,2,4,1] => [{3,6},{4},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,1,5,3] => [3,5,1,2,4,1] => [{3,6},{4},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,3,1,5] => [5,1,3,2,4,1] => [{2,6},{4},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,3,5,1] => [1,5,3,2,4,1] => [{1,6},{4},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,2,5,1,3] => [3,1,5,2,4,1] => [{2,6},{4},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,5,3,1] => [1,3,5,2,4,1] => [{1,6},{4},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,3,1,2,5] => [5,2,1,3,4,1] => [{3,6},{2},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,1,5,2] => [2,5,1,3,4,1] => [{3,6},{1},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,2,1,5] => [5,1,2,3,4,1] => [{2,6},{3},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,2,5,1] => [1,5,2,3,4,1] => [{1,6},{3},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,3,5,1,2] => [2,1,5,3,4,1] => [{2,6},{1},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,5,2,1] => [1,2,5,3,4,1] => [{1,6},{2},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,1,2,3] => [3,2,1,5,4,1] => [{3,6},{2},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,1,3,2] => [2,3,1,5,4,1] => [{3,6},{1},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,2,1,3] => [3,1,2,5,4,1] => [{2,6},{3},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,2,3,1] => [1,3,2,5,4,1] => [{1,6},{3},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,3,1,2] => [2,1,3,5,4,1] => [{2,6},{1},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,3,2,1] => [1,2,3,5,4,1] => [{1,6},{2},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,1,2,3,4] => [4,3,2,1,5,1] => [{4,6},{3},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,2,4,3] => [3,4,2,1,5,1] => [{4,6},{3},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,3,2,4] => [4,2,3,1,5,1] => [{4,6},{2},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,3,4,2] => [2,4,3,1,5,1] => [{4,6},{1},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,2,3] => [3,2,4,1,5,1] => [{4,6},{2},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,3,2] => [2,3,4,1,5,1] => [{4,6},{1},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,5,2,1,3,4] => [4,3,1,2,5,1] => [{3,6},{4},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,1,4,3] => [3,4,1,2,5,1] => [{3,6},{4},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,3,1,4] => [4,1,3,2,5,1] => [{2,6},{4},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,3,4,1] => [1,4,3,2,5,1] => [{1,6},{4},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,5,2,4,1,3] => [3,1,4,2,5,1] => [{2,6},{4},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,4,3,1] => [1,3,4,2,5,1] => [{1,6},{4},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,5,3,1,2,4] => [4,2,1,3,5,1] => [{3,6},{2},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,1,4,2] => [2,4,1,3,5,1] => [{3,6},{1},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,2,1,4] => [4,1,2,3,5,1] => [{2,6},{3},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,2,4,1] => [1,4,2,3,5,1] => [{1,6},{3},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,5,3,4,1,2] => [2,1,4,3,5,1] => [{2,6},{1},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,4,2,1] => [1,2,4,3,5,1] => [{1,6},{2},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,1,2,3] => [3,2,1,4,5,1] => [{3,6},{2},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,1,3,2] => [2,3,1,4,5,1] => [{3,6},{1},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,2,1,3] => [3,1,2,4,5,1] => [{2,6},{3},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,2,3,1] => [1,3,2,4,5,1] => [{1,6},{3},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,3,1,2] => [2,1,3,4,5,1] => [{2,6},{1},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,3,2,1] => [1,2,3,4,5,1] => [{1,6},{2},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,1,1,3,4,5] => [5,4,3,1,1,2] => [{4,5},{6},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,3,5,4] => [4,5,3,1,1,2] => [{4,5},{6},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,4,3,5] => [5,3,4,1,1,2] => [{4,5},{6},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,4,5,3] => [3,5,4,1,1,2] => [{4,5},{6},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,3,4] => [4,3,5,1,1,2] => [{4,5},{6},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,4,3] => [3,4,5,1,1,2] => [{4,5},{6},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,3,1,4,5] => [5,4,1,3,1,2] => [{3,5},{6},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,1,5,4] => [4,5,1,3,1,2] => [{3,5},{6},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,4,1,5] => [5,1,4,3,1,2] => [{2,5},{6},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,4,5,1] => [1,5,4,3,1,2] => [{1,5},{6},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,3,5,1,4] => [4,1,5,3,1,2] => [{2,5},{6},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,5,4,1] => [1,4,5,3,1,2] => [{1,5},{6},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,4,1,3,5] => [5,3,1,4,1,2] => [{3,5},{6},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,1,5,3] => [3,5,1,4,1,2] => [{3,5},{6},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,3,1,5] => [5,1,3,4,1,2] => [{2,5},{6},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,3,5,1] => [1,5,3,4,1,2] => [{1,5},{6},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,4,5,1,3] => [3,1,5,4,1,2] => [{2,5},{6},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,5,3,1] => [1,3,5,4,1,2] => [{1,5},{6},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,1,3,4] => [4,3,1,5,1,2] => [{3,5},{6},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,1,4,3] => [3,4,1,5,1,2] => [{3,5},{6},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,3,1,4] => [4,1,3,5,1,2] => [{2,5},{6},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,3,4,1] => [1,4,3,5,1,2] => [{1,5},{6},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,4,1,3] => [3,1,4,5,1,2] => [{2,5},{6},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,4,3,1] => [1,3,4,5,1,2] => [{1,5},{6},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,1,4,5] => [5,4,1,1,3,2] => [{3,4},{6},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,1,5,4] => [4,5,1,1,3,2] => [{3,4},{6},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,4,1,5] => [5,1,4,1,3,2] => [{2,4},{6},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,4,5,1] => [1,5,4,1,3,2] => [{1,4},{6},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,3,1,5,1,4] => [4,1,5,1,3,2] => [{2,4},{6},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,5,4,1] => [1,4,5,1,3,2] => [{1,4},{6},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,1,1,5] => [5,1,1,4,3,2] => [{2,3},{6},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,3,4,1,5,1] => [1,5,1,4,3,2] => [{1,3},{6},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,3,4,5,1,1] => [1,1,5,4,3,2] => [{1,2},{6},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,3,5,1,1,4] => [4,1,1,5,3,2] => [{2,3},{6},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,3,5,1,4,1] => [1,4,1,5,3,2] => [{1,3},{6},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,3,5,4,1,1] => [1,1,4,5,3,2] => [{1,2},{6},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,4,1,1,3,5] => [5,3,1,1,4,2] => [{3,4},{6},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,1,5,3] => [3,5,1,1,4,2] => [{3,4},{6},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,3,1,5] => [5,1,3,1,4,2] => [{2,4},{6},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,3,5,1] => [1,5,3,1,4,2] => [{1,4},{6},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,4,1,5,1,3] => [3,1,5,1,4,2] => [{2,4},{6},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,5,3,1] => [1,3,5,1,4,2] => [{1,4},{6},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,1,1,5] => [5,1,1,3,4,2] => [{2,3},{6},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,4,3,1,5,1] => [1,5,1,3,4,2] => [{1,3},{6},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,4,3,5,1,1] => [1,1,5,3,4,2] => [{1,2},{6},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,4,5,1,1,3] => [3,1,1,5,4,2] => [{2,3},{6},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,4,5,1,3,1] => [1,3,1,5,4,2] => [{1,3},{6},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,4,5,3,1,1] => [1,1,3,5,4,2] => [{1,2},{6},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,5,1,1,3,4] => [4,3,1,1,5,2] => [{3,4},{6},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,1,4,3] => [3,4,1,1,5,2] => [{3,4},{6},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,3,1,4] => [4,1,3,1,5,2] => [{2,4},{6},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,3,4,1] => [1,4,3,1,5,2] => [{1,4},{6},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,1,4,1,3] => [3,1,4,1,5,2] => [{2,4},{6},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,4,3,1] => [1,3,4,1,5,2] => [{1,4},{6},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,1,1,4] => [4,1,1,3,5,2] => [{2,3},{6},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,5,3,1,4,1] => [1,4,1,3,5,2] => [{1,3},{6},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,3,4,1,1] => [1,1,4,3,5,2] => [{1,2},{6},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,5,4,1,1,3] => [3,1,1,4,5,2] => [{2,3},{6},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,5,4,1,3,1] => [1,3,1,4,5,2] => [{1,3},{6},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,4,3,1,1] => [1,1,3,4,5,2] => [{1,2},{6},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,1,1,2,4,5] => [5,4,2,1,1,3] => [{4,5},{3},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,2,5,4] => [4,5,2,1,1,3] => [{4,5},{3},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,4,2,5] => [5,2,4,1,1,3] => [{4,5},{2},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,4,5,2] => [2,5,4,1,1,3] => [{4,5},{1},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,2,4] => [4,2,5,1,1,3] => [{4,5},{2},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,4,2] => [2,4,5,1,1,3] => [{4,5},{1},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,2,1,4,5] => [5,4,1,2,1,3] => [{3,5},{4},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,1,5,4] => [4,5,1,2,1,3] => [{3,5},{4},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,4,1,5] => [5,1,4,2,1,3] => [{2,5},{4},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,4,5,1] => [1,5,4,2,1,3] => [{1,5},{4},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,2,5,1,4] => [4,1,5,2,1,3] => [{2,5},{4},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,5,4,1] => [1,4,5,2,1,3] => [{1,5},{4},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,4,1,2,5] => [5,2,1,4,1,3] => [{3,5},{2},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,1,5,2] => [2,5,1,4,1,3] => [{3,5},{1},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,2,1,5] => [5,1,2,4,1,3] => [{2,5},{3},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,2,5,1] => [1,5,2,4,1,3] => [{1,5},{3},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,4,5,1,2] => [2,1,5,4,1,3] => [{2,5},{1},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,5,2,1] => [1,2,5,4,1,3] => [{1,5},{2},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,1,2,4] => [4,2,1,5,1,3] => [{3,5},{2},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,1,4,2] => [2,4,1,5,1,3] => [{3,5},{1},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,2,1,4] => [4,1,2,5,1,3] => [{2,5},{3},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,2,4,1] => [1,4,2,5,1,3] => [{1,5},{3},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,4,1,2] => [2,1,4,5,1,3] => [{2,5},{1},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,4,2,1] => [1,2,4,5,1,3] => [{1,5},{2},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,1,4,5] => [5,4,1,1,2,3] => [{3,4},{5},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,1,5,4] => [4,5,1,1,2,3] => [{3,4},{5},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,4,1,5] => [5,1,4,1,2,3] => [{2,4},{5},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,4,5,1] => [1,5,4,1,2,3] => [{1,4},{5},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,2,1,5,1,4] => [4,1,5,1,2,3] => [{2,4},{5},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,5,4,1] => [1,4,5,1,2,3] => [{1,4},{5},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,1,1,5] => [5,1,1,4,2,3] => [{2,3},{5},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,2,4,1,5,1] => [1,5,1,4,2,3] => [{1,3},{5},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,2,4,5,1,1] => [1,1,5,4,2,3] => [{1,2},{5},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,2,5,1,1,4] => [4,1,1,5,2,3] => [{2,3},{5},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,2,5,1,4,1] => [1,4,1,5,2,3] => [{1,3},{5},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,2,5,4,1,1] => [1,1,4,5,2,3] => [{1,2},{5},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,4,1,1,2,5] => [5,2,1,1,4,3] => [{3,4},{2},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,1,5,2] => [2,5,1,1,4,3] => [{3,4},{1},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,2,1,5] => [5,1,2,1,4,3] => [{2,4},{3},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,2,5,1] => [1,5,2,1,4,3] => [{1,4},{3},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,4,1,5,1,2] => [2,1,5,1,4,3] => [{2,4},{1},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,5,2,1] => [1,2,5,1,4,3] => [{1,4},{2},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,1,1,5] => [5,1,1,2,4,3] => [{2,3},{4},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,4,2,1,5,1] => [1,5,1,2,4,3] => [{1,3},{4},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,4,2,5,1,1] => [1,1,5,2,4,3] => [{1,2},{4},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,4,5,1,1,2] => [2,1,1,5,4,3] => [{2,3},{1},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,4,5,1,2,1] => [1,2,1,5,4,3] => [{1,3},{2},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,4,5,2,1,1] => [1,1,2,5,4,3] => [{1,2},{3},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,5,1,1,2,4] => [4,2,1,1,5,3] => [{3,4},{2},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,1,4,2] => [2,4,1,1,5,3] => [{3,4},{1},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,2,1,4] => [4,1,2,1,5,3] => [{2,4},{3},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,2,4,1] => [1,4,2,1,5,3] => [{1,4},{3},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,1,4,1,2] => [2,1,4,1,5,3] => [{2,4},{1},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,4,2,1] => [1,2,4,1,5,3] => [{1,4},{2},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,1,1,4] => [4,1,1,2,5,3] => [{2,3},{4},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,5,2,1,4,1] => [1,4,1,2,5,3] => [{1,3},{4},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,2,4,1,1] => [1,1,4,2,5,3] => [{1,2},{4},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,5,4,1,1,2] => [2,1,1,4,5,3] => [{2,3},{1},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,5,4,1,2,1] => [1,2,1,4,5,3] => [{1,3},{2},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,4,2,1,1] => [1,1,2,4,5,3] => [{1,2},{3},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[4,1,1,2,3,5] => [5,3,2,1,1,4] => [{4,5},{3},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,2,5,3] => [3,5,2,1,1,4] => [{4,5},{3},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,3,2,5] => [5,2,3,1,1,4] => [{4,5},{2},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,3,5,2] => [2,5,3,1,1,4] => [{4,5},{1},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,2,3] => [3,2,5,1,1,4] => [{4,5},{2},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,3,2] => [2,3,5,1,1,4] => [{4,5},{1},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,2,1,3,5] => [5,3,1,2,1,4] => [{3,5},{4},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,1,5,3] => [3,5,1,2,1,4] => [{3,5},{4},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,3,1,5] => [5,1,3,2,1,4] => [{2,5},{4},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,3,5,1] => [1,5,3,2,1,4] => [{1,5},{4},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,2,5,1,3] => [3,1,5,2,1,4] => [{2,5},{4},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,5,3,1] => [1,3,5,2,1,4] => [{1,5},{4},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,3,1,2,5] => [5,2,1,3,1,4] => [{3,5},{2},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,1,5,2] => [2,5,1,3,1,4] => [{3,5},{1},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,2,1,5] => [5,1,2,3,1,4] => [{2,5},{3},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,2,5,1] => [1,5,2,3,1,4] => [{1,5},{3},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,3,5,1,2] => [2,1,5,3,1,4] => [{2,5},{1},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,5,2,1] => [1,2,5,3,1,4] => [{1,5},{2},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,1,2,3] => [3,2,1,5,1,4] => [{3,5},{2},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,1,3,2] => [2,3,1,5,1,4] => [{3,5},{1},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,2,1,3] => [3,1,2,5,1,4] => [{2,5},{3},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,2,3,1] => [1,3,2,5,1,4] => [{1,5},{3},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,3,1,2] => [2,1,3,5,1,4] => [{2,5},{1},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,3,2,1] => [1,2,3,5,1,4] => [{1,5},{2},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,1,3,5] => [5,3,1,1,2,4] => [{3,4},{5},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,1,5,3] => [3,5,1,1,2,4] => [{3,4},{5},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,3,1,5] => [5,1,3,1,2,4] => [{2,4},{5},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,3,5,1] => [1,5,3,1,2,4] => [{1,4},{5},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,2,1,5,1,3] => [3,1,5,1,2,4] => [{2,4},{5},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,5,3,1] => [1,3,5,1,2,4] => [{1,4},{5},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,1,1,5] => [5,1,1,3,2,4] => [{2,3},{5},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,2,3,1,5,1] => [1,5,1,3,2,4] => [{1,3},{5},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,2,3,5,1,1] => [1,1,5,3,2,4] => [{1,2},{5},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,2,5,1,1,3] => [3,1,1,5,2,4] => [{2,3},{5},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,2,5,1,3,1] => [1,3,1,5,2,4] => [{1,3},{5},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,2,5,3,1,1] => [1,1,3,5,2,4] => [{1,2},{5},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,3,1,1,2,5] => [5,2,1,1,3,4] => [{3,4},{2},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,1,5,2] => [2,5,1,1,3,4] => [{3,4},{1},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,2,1,5] => [5,1,2,1,3,4] => [{2,4},{3},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,2,5,1] => [1,5,2,1,3,4] => [{1,4},{3},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,3,1,5,1,2] => [2,1,5,1,3,4] => [{2,4},{1},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,5,2,1] => [1,2,5,1,3,4] => [{1,4},{2},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,1,1,5] => [5,1,1,2,3,4] => [{2,3},{4},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,3,2,1,5,1] => [1,5,1,2,3,4] => [{1,3},{4},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,3,2,5,1,1] => [1,1,5,2,3,4] => [{1,2},{4},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,3,5,1,1,2] => [2,1,1,5,3,4] => [{2,3},{1},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,3,5,1,2,1] => [1,2,1,5,3,4] => [{1,3},{2},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,3,5,2,1,1] => [1,1,2,5,3,4] => [{1,2},{3},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,5,1,1,2,3] => [3,2,1,1,5,4] => [{3,4},{2},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,1,3,2] => [2,3,1,1,5,4] => [{3,4},{1},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,2,1,3] => [3,1,2,1,5,4] => [{2,4},{3},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,2,3,1] => [1,3,2,1,5,4] => [{1,4},{3},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,1,3,1,2] => [2,1,3,1,5,4] => [{2,4},{1},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,3,2,1] => [1,2,3,1,5,4] => [{1,4},{2},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,1,1,3] => [3,1,1,2,5,4] => [{2,3},{4},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,5,2,1,3,1] => [1,3,1,2,5,4] => [{1,3},{4},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,2,3,1,1] => [1,1,3,2,5,4] => [{1,2},{4},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,5,3,1,1,2] => [2,1,1,3,5,4] => [{2,3},{1},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,5,3,1,2,1] => [1,2,1,3,5,4] => [{1,3},{2},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,3,2,1,1] => [1,1,2,3,5,4] => [{1,2},{3},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,1,1,2,3,4] => [4,3,2,1,1,5] => [{4,5},{3},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,2,4,3] => [3,4,2,1,1,5] => [{4,5},{3},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,3,2,4] => [4,2,3,1,1,5] => [{4,5},{2},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,3,4,2] => [2,4,3,1,1,5] => [{4,5},{1},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,2,3] => [3,2,4,1,1,5] => [{4,5},{2},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,3,2] => [2,3,4,1,1,5] => [{4,5},{1},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,1,2,1,3,4] => [4,3,1,2,1,5] => [{3,5},{4},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,1,4,3] => [3,4,1,2,1,5] => [{3,5},{4},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,3,1,4] => [4,1,3,2,1,5] => [{2,5},{4},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,3,4,1] => [1,4,3,2,1,5] => [{1,5},{4},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,1,2,4,1,3] => [3,1,4,2,1,5] => [{2,5},{4},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,4,3,1] => [1,3,4,2,1,5] => [{1,5},{4},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,1,3,1,2,4] => [4,2,1,3,1,5] => [{3,5},{2},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,1,4,2] => [2,4,1,3,1,5] => [{3,5},{1},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,2,1,4] => [4,1,2,3,1,5] => [{2,5},{3},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,2,4,1] => [1,4,2,3,1,5] => [{1,5},{3},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,1,3,4,1,2] => [2,1,4,3,1,5] => [{2,5},{1},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,4,2,1] => [1,2,4,3,1,5] => [{1,5},{2},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,1,2,3] => [3,2,1,4,1,5] => [{3,5},{2},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,1,3,2] => [2,3,1,4,1,5] => [{3,5},{1},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,2,1,3] => [3,1,2,4,1,5] => [{2,5},{3},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,2,3,1] => [1,3,2,4,1,5] => [{1,5},{3},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,3,1,2] => [2,1,3,4,1,5] => [{2,5},{1},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,3,2,1] => [1,2,3,4,1,5] => [{1,5},{2},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,1,3,4] => [4,3,1,1,2,5] => [{3,4},{5},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,1,4,3] => [3,4,1,1,2,5] => [{3,4},{5},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,3,1,4] => [4,1,3,1,2,5] => [{2,4},{5},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,3,4,1] => [1,4,3,1,2,5] => [{1,4},{5},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,1,4,1,3] => [3,1,4,1,2,5] => [{2,4},{5},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,4,3,1] => [1,3,4,1,2,5] => [{1,4},{5},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,1,1,4] => [4,1,1,3,2,5] => [{2,3},{5},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,3,1,4,1] => [1,4,1,3,2,5] => [{1,3},{5},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,3,4,1,1] => [1,1,4,3,2,5] => [{1,2},{5},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,4,1,1,3] => [3,1,1,4,2,5] => [{2,3},{5},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,4,1,3,1] => [1,3,1,4,2,5] => [{1,3},{5},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,4,3,1,1] => [1,1,3,4,2,5] => [{1,2},{5},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,1,1,2,4] => [4,2,1,1,3,5] => [{3,4},{2},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,1,4,2] => [2,4,1,1,3,5] => [{3,4},{1},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,2,1,4] => [4,1,2,1,3,5] => [{2,4},{3},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,2,4,1] => [1,4,2,1,3,5] => [{1,4},{3},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,1,4,1,2] => [2,1,4,1,3,5] => [{2,4},{1},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,4,2,1] => [1,2,4,1,3,5] => [{1,4},{2},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,1,1,4] => [4,1,1,2,3,5] => [{2,3},{4},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,2,1,4,1] => [1,4,1,2,3,5] => [{1,3},{4},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,2,4,1,1] => [1,1,4,2,3,5] => [{1,2},{4},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,4,1,1,2] => [2,1,1,4,3,5] => [{2,3},{1},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,4,1,2,1] => [1,2,1,4,3,5] => [{1,3},{2},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,4,2,1,1] => [1,1,2,4,3,5] => [{1,2},{3},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,1,1,2,3] => [3,2,1,1,4,5] => [{3,4},{2},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,1,3,2] => [2,3,1,1,4,5] => [{3,4},{1},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,2,1,3] => [3,1,2,1,4,5] => [{2,4},{3},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,2,3,1] => [1,3,2,1,4,5] => [{1,4},{3},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,1,3,1,2] => [2,1,3,1,4,5] => [{2,4},{1},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,3,2,1] => [1,2,3,1,4,5] => [{1,4},{2},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,1,1,3] => [3,1,1,2,4,5] => [{2,3},{4},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,2,1,3,1] => [1,3,1,2,4,5] => [{1,3},{4},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,2,3,1,1] => [1,1,3,2,4,5] => [{1,2},{4},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,3,1,1,2] => [2,1,1,3,4,5] => [{2,3},{1},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,3,1,2,1] => [1,2,1,3,4,5] => [{1,3},{2},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,3,2,1,1] => [1,1,2,3,4,5] => [{1,2},{3},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[1,1,2,3,4,6] => [6,4,3,2,1,1] => [{5,6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,3,6,4] => [4,6,3,2,1,1] => [{5,6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,4,3,6] => [6,3,4,2,1,1] => [{5,6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,4,6,3] => [3,6,4,2,1,1] => [{5,6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,3,4] => [4,3,6,2,1,1] => [{5,6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,4,3] => [3,4,6,2,1,1] => [{5,6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,4,6] => [6,4,2,3,1,1] => [{5,6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,6,4] => [4,6,2,3,1,1] => [{5,6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,4,2,6] => [6,2,4,3,1,1] => [{5,6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,4,6,2] => [2,6,4,3,1,1] => [{5,6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,2,4] => [4,2,6,3,1,1] => [{5,6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,4,2] => [2,4,6,3,1,1] => [{5,6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,3,6] => [6,3,2,4,1,1] => [{5,6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,6,3] => [3,6,2,4,1,1] => [{5,6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,2,6] => [6,2,3,4,1,1] => [{5,6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,6,2] => [2,6,3,4,1,1] => [{5,6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,2,3] => [3,2,6,4,1,1] => [{5,6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,3,2] => [2,3,6,4,1,1] => [{5,6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,3,4] => [4,3,2,6,1,1] => [{5,6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,4,3] => [3,4,2,6,1,1] => [{5,6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,2,4] => [4,2,3,6,1,1] => [{5,6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,4,2] => [2,4,3,6,1,1] => [{5,6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,2,3] => [3,2,4,6,1,1] => [{5,6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,3,2] => [2,3,4,6,1,1] => [{5,6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,2,1,3,4,6] => [6,4,3,1,2,1] => [{4,6},{5},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,3,6,4] => [4,6,3,1,2,1] => [{4,6},{5},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,4,3,6] => [6,3,4,1,2,1] => [{4,6},{5},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,4,6,3] => [3,6,4,1,2,1] => [{4,6},{5},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,3,4] => [4,3,6,1,2,1] => [{4,6},{5},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,4,3] => [3,4,6,1,2,1] => [{4,6},{5},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,3,1,4,6] => [6,4,1,3,2,1] => [{3,6},{5},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,1,6,4] => [4,6,1,3,2,1] => [{3,6},{5},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,4,1,6] => [6,1,4,3,2,1] => [{2,6},{5},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,4,6,1] => [1,6,4,3,2,1] => [{1,6},{5},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,3,6,1,4] => [4,1,6,3,2,1] => [{2,6},{5},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,6,4,1] => [1,4,6,3,2,1] => [{1,6},{5},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,4,1,3,6] => [6,3,1,4,2,1] => [{3,6},{5},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,1,6,3] => [3,6,1,4,2,1] => [{3,6},{5},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,3,1,6] => [6,1,3,4,2,1] => [{2,6},{5},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,3,6,1] => [1,6,3,4,2,1] => [{1,6},{5},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,4,6,1,3] => [3,1,6,4,2,1] => [{2,6},{5},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,6,3,1] => [1,3,6,4,2,1] => [{1,6},{5},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,1,3,4] => [4,3,1,6,2,1] => [{3,6},{5},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,1,4,3] => [3,4,1,6,2,1] => [{3,6},{5},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,3,1,4] => [4,1,3,6,2,1] => [{2,6},{5},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,3,4,1] => [1,4,3,6,2,1] => [{1,6},{5},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,4,1,3] => [3,1,4,6,2,1] => [{2,6},{5},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,4,3,1] => [1,3,4,6,2,1] => [{1,6},{5},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,1,2,4,6] => [6,4,2,1,3,1] => [{4,6},{3},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,2,6,4] => [4,6,2,1,3,1] => [{4,6},{3},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,4,2,6] => [6,2,4,1,3,1] => [{4,6},{2},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,4,6,2] => [2,6,4,1,3,1] => [{4,6},{1},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,2,4] => [4,2,6,1,3,1] => [{4,6},{2},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,4,2] => [2,4,6,1,3,1] => [{4,6},{1},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,2,1,4,6] => [6,4,1,2,3,1] => [{3,6},{4},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,1,6,4] => [4,6,1,2,3,1] => [{3,6},{4},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,4,1,6] => [6,1,4,2,3,1] => [{2,6},{4},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,4,6,1] => [1,6,4,2,3,1] => [{1,6},{4},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,2,6,1,4] => [4,1,6,2,3,1] => [{2,6},{4},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,6,4,1] => [1,4,6,2,3,1] => [{1,6},{4},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,4,1,2,6] => [6,2,1,4,3,1] => [{3,6},{2},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,1,6,2] => [2,6,1,4,3,1] => [{3,6},{1},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,2,1,6] => [6,1,2,4,3,1] => [{2,6},{3},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,2,6,1] => [1,6,2,4,3,1] => [{1,6},{3},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,4,6,1,2] => [2,1,6,4,3,1] => [{2,6},{1},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,6,2,1] => [1,2,6,4,3,1] => [{1,6},{2},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,1,2,4] => [4,2,1,6,3,1] => [{3,6},{2},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,1,4,2] => [2,4,1,6,3,1] => [{3,6},{1},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,2,1,4] => [4,1,2,6,3,1] => [{2,6},{3},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,2,4,1] => [1,4,2,6,3,1] => [{1,6},{3},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,4,1,2] => [2,1,4,6,3,1] => [{2,6},{1},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,4,2,1] => [1,2,4,6,3,1] => [{1,6},{2},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,1,2,3,6] => [6,3,2,1,4,1] => [{4,6},{3},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,2,6,3] => [3,6,2,1,4,1] => [{4,6},{3},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,3,2,6] => [6,2,3,1,4,1] => [{4,6},{2},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,3,6,2] => [2,6,3,1,4,1] => [{4,6},{1},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,2,3] => [3,2,6,1,4,1] => [{4,6},{2},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,3,2] => [2,3,6,1,4,1] => [{4,6},{1},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,2,1,3,6] => [6,3,1,2,4,1] => [{3,6},{4},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,1,6,3] => [3,6,1,2,4,1] => [{3,6},{4},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,3,1,6] => [6,1,3,2,4,1] => [{2,6},{4},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,3,6,1] => [1,6,3,2,4,1] => [{1,6},{4},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,2,6,1,3] => [3,1,6,2,4,1] => [{2,6},{4},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,6,3,1] => [1,3,6,2,4,1] => [{1,6},{4},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,3,1,2,6] => [6,2,1,3,4,1] => [{3,6},{2},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,1,6,2] => [2,6,1,3,4,1] => [{3,6},{1},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,2,1,6] => [6,1,2,3,4,1] => [{2,6},{3},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,2,6,1] => [1,6,2,3,4,1] => [{1,6},{3},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,3,6,1,2] => [2,1,6,3,4,1] => [{2,6},{1},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,6,2,1] => [1,2,6,3,4,1] => [{1,6},{2},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,1,2,3] => [3,2,1,6,4,1] => [{3,6},{2},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,1,3,2] => [2,3,1,6,4,1] => [{3,6},{1},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,2,1,3] => [3,1,2,6,4,1] => [{2,6},{3},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,2,3,1] => [1,3,2,6,4,1] => [{1,6},{3},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,3,1,2] => [2,1,3,6,4,1] => [{2,6},{1},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,3,2,1] => [1,2,3,6,4,1] => [{1,6},{2},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,6,1,2,3,4] => [4,3,2,1,6,1] => [{4,6},{3},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,2,4,3] => [3,4,2,1,6,1] => [{4,6},{3},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,3,2,4] => [4,2,3,1,6,1] => [{4,6},{2},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,3,4,2] => [2,4,3,1,6,1] => [{4,6},{1},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,2,3] => [3,2,4,1,6,1] => [{4,6},{2},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,3,2] => [2,3,4,1,6,1] => [{4,6},{1},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,2,1,3,4] => [4,3,1,2,6,1] => [{3,6},{4},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,1,4,3] => [3,4,1,2,6,1] => [{3,6},{4},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,3,1,4] => [4,1,3,2,6,1] => [{2,6},{4},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,3,4,1] => [1,4,3,2,6,1] => [{1,6},{4},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,2,4,1,3] => [3,1,4,2,6,1] => [{2,6},{4},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,4,3,1] => [1,3,4,2,6,1] => [{1,6},{4},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,3,1,2,4] => [4,2,1,3,6,1] => [{3,6},{2},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,1,4,2] => [2,4,1,3,6,1] => [{3,6},{1},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,2,1,4] => [4,1,2,3,6,1] => [{2,6},{3},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,2,4,1] => [1,4,2,3,6,1] => [{1,6},{3},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,3,4,1,2] => [2,1,4,3,6,1] => [{2,6},{1},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,4,2,1] => [1,2,4,3,6,1] => [{1,6},{2},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,1,2,3] => [3,2,1,4,6,1] => [{3,6},{2},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,1,3,2] => [2,3,1,4,6,1] => [{3,6},{1},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,2,1,3] => [3,1,2,4,6,1] => [{2,6},{3},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,2,3,1] => [1,3,2,4,6,1] => [{1,6},{3},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,3,1,2] => [2,1,3,4,6,1] => [{2,6},{1},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,3,2,1] => [1,2,3,4,6,1] => [{1,6},{2},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,1,1,3,4,6] => [6,4,3,1,1,2] => [{4,5},{6},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,3,6,4] => [4,6,3,1,1,2] => [{4,5},{6},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,4,3,6] => [6,3,4,1,1,2] => [{4,5},{6},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,4,6,3] => [3,6,4,1,1,2] => [{4,5},{6},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,3,4] => [4,3,6,1,1,2] => [{4,5},{6},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,4,3] => [3,4,6,1,1,2] => [{4,5},{6},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,3,1,4,6] => [6,4,1,3,1,2] => [{3,5},{6},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,1,6,4] => [4,6,1,3,1,2] => [{3,5},{6},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,4,1,6] => [6,1,4,3,1,2] => [{2,5},{6},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,4,6,1] => [1,6,4,3,1,2] => [{1,5},{6},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,3,6,1,4] => [4,1,6,3,1,2] => [{2,5},{6},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,6,4,1] => [1,4,6,3,1,2] => [{1,5},{6},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,4,1,3,6] => [6,3,1,4,1,2] => [{3,5},{6},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,1,6,3] => [3,6,1,4,1,2] => [{3,5},{6},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,3,1,6] => [6,1,3,4,1,2] => [{2,5},{6},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,3,6,1] => [1,6,3,4,1,2] => [{1,5},{6},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,4,6,1,3] => [3,1,6,4,1,2] => [{2,5},{6},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,6,3,1] => [1,3,6,4,1,2] => [{1,5},{6},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,1,3,4] => [4,3,1,6,1,2] => [{3,5},{6},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,1,4,3] => [3,4,1,6,1,2] => [{3,5},{6},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,3,1,4] => [4,1,3,6,1,2] => [{2,5},{6},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,3,4,1] => [1,4,3,6,1,2] => [{1,5},{6},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,4,1,3] => [3,1,4,6,1,2] => [{2,5},{6},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,4,3,1] => [1,3,4,6,1,2] => [{1,5},{6},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,1,4,6] => [6,4,1,1,3,2] => [{3,4},{6},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,1,6,4] => [4,6,1,1,3,2] => [{3,4},{6},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,4,1,6] => [6,1,4,1,3,2] => [{2,4},{6},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,4,6,1] => [1,6,4,1,3,2] => [{1,4},{6},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,3,1,6,1,4] => [4,1,6,1,3,2] => [{2,4},{6},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,6,4,1] => [1,4,6,1,3,2] => [{1,4},{6},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,1,1,6] => [6,1,1,4,3,2] => [{2,3},{6},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,3,4,1,6,1] => [1,6,1,4,3,2] => [{1,3},{6},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,3,4,6,1,1] => [1,1,6,4,3,2] => [{1,2},{6},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,3,6,1,1,4] => [4,1,1,6,3,2] => [{2,3},{6},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,3,6,1,4,1] => [1,4,1,6,3,2] => [{1,3},{6},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,3,6,4,1,1] => [1,1,4,6,3,2] => [{1,2},{6},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,4,1,1,3,6] => [6,3,1,1,4,2] => [{3,4},{6},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,1,6,3] => [3,6,1,1,4,2] => [{3,4},{6},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,3,1,6] => [6,1,3,1,4,2] => [{2,4},{6},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,3,6,1] => [1,6,3,1,4,2] => [{1,4},{6},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,4,1,6,1,3] => [3,1,6,1,4,2] => [{2,4},{6},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,6,3,1] => [1,3,6,1,4,2] => [{1,4},{6},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,1,1,6] => [6,1,1,3,4,2] => [{2,3},{6},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,4,3,1,6,1] => [1,6,1,3,4,2] => [{1,3},{6},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,4,3,6,1,1] => [1,1,6,3,4,2] => [{1,2},{6},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,4,6,1,1,3] => [3,1,1,6,4,2] => [{2,3},{6},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,4,6,1,3,1] => [1,3,1,6,4,2] => [{1,3},{6},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,4,6,3,1,1] => [1,1,3,6,4,2] => [{1,2},{6},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,6,1,1,3,4] => [4,3,1,1,6,2] => [{3,4},{6},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,1,4,3] => [3,4,1,1,6,2] => [{3,4},{6},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,3,1,4] => [4,1,3,1,6,2] => [{2,4},{6},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,3,4,1] => [1,4,3,1,6,2] => [{1,4},{6},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,1,4,1,3] => [3,1,4,1,6,2] => [{2,4},{6},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,4,3,1] => [1,3,4,1,6,2] => [{1,4},{6},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,1,1,4] => [4,1,1,3,6,2] => [{2,3},{6},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,3,1,4,1] => [1,4,1,3,6,2] => [{1,3},{6},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,3,4,1,1] => [1,1,4,3,6,2] => [{1,2},{6},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,4,1,1,3] => [3,1,1,4,6,2] => [{2,3},{6},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,4,1,3,1] => [1,3,1,4,6,2] => [{1,3},{6},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,4,3,1,1] => [1,1,3,4,6,2] => [{1,2},{6},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,1,1,2,4,6] => [6,4,2,1,1,3] => [{4,5},{3},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,2,6,4] => [4,6,2,1,1,3] => [{4,5},{3},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,4,2,6] => [6,2,4,1,1,3] => [{4,5},{2},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,4,6,2] => [2,6,4,1,1,3] => [{4,5},{1},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,2,4] => [4,2,6,1,1,3] => [{4,5},{2},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,4,2] => [2,4,6,1,1,3] => [{4,5},{1},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,2,1,4,6] => [6,4,1,2,1,3] => [{3,5},{4},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,1,6,4] => [4,6,1,2,1,3] => [{3,5},{4},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,4,1,6] => [6,1,4,2,1,3] => [{2,5},{4},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,4,6,1] => [1,6,4,2,1,3] => [{1,5},{4},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,2,6,1,4] => [4,1,6,2,1,3] => [{2,5},{4},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,6,4,1] => [1,4,6,2,1,3] => [{1,5},{4},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,4,1,2,6] => [6,2,1,4,1,3] => [{3,5},{2},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,1,6,2] => [2,6,1,4,1,3] => [{3,5},{1},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,2,1,6] => [6,1,2,4,1,3] => [{2,5},{3},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,2,6,1] => [1,6,2,4,1,3] => [{1,5},{3},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,4,6,1,2] => [2,1,6,4,1,3] => [{2,5},{1},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,6,2,1] => [1,2,6,4,1,3] => [{1,5},{2},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,1,2,4] => [4,2,1,6,1,3] => [{3,5},{2},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,1,4,2] => [2,4,1,6,1,3] => [{3,5},{1},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,2,1,4] => [4,1,2,6,1,3] => [{2,5},{3},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,2,4,1] => [1,4,2,6,1,3] => [{1,5},{3},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,4,1,2] => [2,1,4,6,1,3] => [{2,5},{1},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,4,2,1] => [1,2,4,6,1,3] => [{1,5},{2},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,1,4,6] => [6,4,1,1,2,3] => [{3,4},{5},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,1,6,4] => [4,6,1,1,2,3] => [{3,4},{5},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,4,1,6] => [6,1,4,1,2,3] => [{2,4},{5},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,4,6,1] => [1,6,4,1,2,3] => [{1,4},{5},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,2,1,6,1,4] => [4,1,6,1,2,3] => [{2,4},{5},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,6,4,1] => [1,4,6,1,2,3] => [{1,4},{5},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,1,1,6] => [6,1,1,4,2,3] => [{2,3},{5},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,2,4,1,6,1] => [1,6,1,4,2,3] => [{1,3},{5},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,2,4,6,1,1] => [1,1,6,4,2,3] => [{1,2},{5},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,2,6,1,1,4] => [4,1,1,6,2,3] => [{2,3},{5},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,2,6,1,4,1] => [1,4,1,6,2,3] => [{1,3},{5},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,2,6,4,1,1] => [1,1,4,6,2,3] => [{1,2},{5},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,4,1,1,2,6] => [6,2,1,1,4,3] => [{3,4},{2},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,1,6,2] => [2,6,1,1,4,3] => [{3,4},{1},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,2,1,6] => [6,1,2,1,4,3] => [{2,4},{3},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,2,6,1] => [1,6,2,1,4,3] => [{1,4},{3},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,4,1,6,1,2] => [2,1,6,1,4,3] => [{2,4},{1},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,6,2,1] => [1,2,6,1,4,3] => [{1,4},{2},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,1,1,6] => [6,1,1,2,4,3] => [{2,3},{4},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,4,2,1,6,1] => [1,6,1,2,4,3] => [{1,3},{4},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,4,2,6,1,1] => [1,1,6,2,4,3] => [{1,2},{4},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,4,6,1,1,2] => [2,1,1,6,4,3] => [{2,3},{1},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,4,6,1,2,1] => [1,2,1,6,4,3] => [{1,3},{2},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,4,6,2,1,1] => [1,1,2,6,4,3] => [{1,2},{3},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,6,1,1,2,4] => [4,2,1,1,6,3] => [{3,4},{2},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,1,4,2] => [2,4,1,1,6,3] => [{3,4},{1},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,2,1,4] => [4,1,2,1,6,3] => [{2,4},{3},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,2,4,1] => [1,4,2,1,6,3] => [{1,4},{3},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,1,4,1,2] => [2,1,4,1,6,3] => [{2,4},{1},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,4,2,1] => [1,2,4,1,6,3] => [{1,4},{2},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,1,1,4] => [4,1,1,2,6,3] => [{2,3},{4},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,2,1,4,1] => [1,4,1,2,6,3] => [{1,3},{4},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,2,4,1,1] => [1,1,4,2,6,3] => [{1,2},{4},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,4,1,1,2] => [2,1,1,4,6,3] => [{2,3},{1},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,4,1,2,1] => [1,2,1,4,6,3] => [{1,3},{2},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,4,2,1,1] => [1,1,2,4,6,3] => [{1,2},{3},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[4,1,1,2,3,6] => [6,3,2,1,1,4] => [{4,5},{3},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,2,6,3] => [3,6,2,1,1,4] => [{4,5},{3},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,3,2,6] => [6,2,3,1,1,4] => [{4,5},{2},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,3,6,2] => [2,6,3,1,1,4] => [{4,5},{1},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,2,3] => [3,2,6,1,1,4] => [{4,5},{2},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,3,2] => [2,3,6,1,1,4] => [{4,5},{1},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,2,1,3,6] => [6,3,1,2,1,4] => [{3,5},{4},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,1,6,3] => [3,6,1,2,1,4] => [{3,5},{4},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,3,1,6] => [6,1,3,2,1,4] => [{2,5},{4},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,3,6,1] => [1,6,3,2,1,4] => [{1,5},{4},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,2,6,1,3] => [3,1,6,2,1,4] => [{2,5},{4},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,6,3,1] => [1,3,6,2,1,4] => [{1,5},{4},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,3,1,2,6] => [6,2,1,3,1,4] => [{3,5},{2},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,1,6,2] => [2,6,1,3,1,4] => [{3,5},{1},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,2,1,6] => [6,1,2,3,1,4] => [{2,5},{3},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,2,6,1] => [1,6,2,3,1,4] => [{1,5},{3},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,3,6,1,2] => [2,1,6,3,1,4] => [{2,5},{1},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,6,2,1] => [1,2,6,3,1,4] => [{1,5},{2},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,1,2,3] => [3,2,1,6,1,4] => [{3,5},{2},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,1,3,2] => [2,3,1,6,1,4] => [{3,5},{1},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,2,1,3] => [3,1,2,6,1,4] => [{2,5},{3},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,2,3,1] => [1,3,2,6,1,4] => [{1,5},{3},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,3,1,2] => [2,1,3,6,1,4] => [{2,5},{1},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,3,2,1] => [1,2,3,6,1,4] => [{1,5},{2},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,1,3,6] => [6,3,1,1,2,4] => [{3,4},{5},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,1,6,3] => [3,6,1,1,2,4] => [{3,4},{5},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,3,1,6] => [6,1,3,1,2,4] => [{2,4},{5},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,3,6,1] => [1,6,3,1,2,4] => [{1,4},{5},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,2,1,6,1,3] => [3,1,6,1,2,4] => [{2,4},{5},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,6,3,1] => [1,3,6,1,2,4] => [{1,4},{5},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,1,1,6] => [6,1,1,3,2,4] => [{2,3},{5},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,2,3,1,6,1] => [1,6,1,3,2,4] => [{1,3},{5},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,2,3,6,1,1] => [1,1,6,3,2,4] => [{1,2},{5},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,2,6,1,1,3] => [3,1,1,6,2,4] => [{2,3},{5},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,2,6,1,3,1] => [1,3,1,6,2,4] => [{1,3},{5},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,2,6,3,1,1] => [1,1,3,6,2,4] => [{1,2},{5},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,3,1,1,2,6] => [6,2,1,1,3,4] => [{3,4},{2},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,1,6,2] => [2,6,1,1,3,4] => [{3,4},{1},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,2,1,6] => [6,1,2,1,3,4] => [{2,4},{3},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,2,6,1] => [1,6,2,1,3,4] => [{1,4},{3},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,3,1,6,1,2] => [2,1,6,1,3,4] => [{2,4},{1},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,6,2,1] => [1,2,6,1,3,4] => [{1,4},{2},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,1,1,6] => [6,1,1,2,3,4] => [{2,3},{4},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,3,2,1,6,1] => [1,6,1,2,3,4] => [{1,3},{4},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,3,2,6,1,1] => [1,1,6,2,3,4] => [{1,2},{4},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,3,6,1,1,2] => [2,1,1,6,3,4] => [{2,3},{1},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,3,6,1,2,1] => [1,2,1,6,3,4] => [{1,3},{2},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,3,6,2,1,1] => [1,1,2,6,3,4] => [{1,2},{3},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,6,1,1,2,3] => [3,2,1,1,6,4] => [{3,4},{2},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,1,3,2] => [2,3,1,1,6,4] => [{3,4},{1},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,2,1,3] => [3,1,2,1,6,4] => [{2,4},{3},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,2,3,1] => [1,3,2,1,6,4] => [{1,4},{3},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,1,3,1,2] => [2,1,3,1,6,4] => [{2,4},{1},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,3,2,1] => [1,2,3,1,6,4] => [{1,4},{2},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,1,1,3] => [3,1,1,2,6,4] => [{2,3},{4},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,2,1,3,1] => [1,3,1,2,6,4] => [{1,3},{4},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,2,3,1,1] => [1,1,3,2,6,4] => [{1,2},{4},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,3,1,1,2] => [2,1,1,3,6,4] => [{2,3},{1},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,3,1,2,1] => [1,2,1,3,6,4] => [{1,3},{2},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,3,2,1,1] => [1,1,2,3,6,4] => [{1,2},{3},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[6,1,1,2,3,4] => [4,3,2,1,1,6] => [{4,5},{3},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,2,4,3] => [3,4,2,1,1,6] => [{4,5},{3},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,3,2,4] => [4,2,3,1,1,6] => [{4,5},{2},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,3,4,2] => [2,4,3,1,1,6] => [{4,5},{1},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,2,3] => [3,2,4,1,1,6] => [{4,5},{2},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,3,2] => [2,3,4,1,1,6] => [{4,5},{1},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,2,1,3,4] => [4,3,1,2,1,6] => [{3,5},{4},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,1,4,3] => [3,4,1,2,1,6] => [{3,5},{4},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,3,1,4] => [4,1,3,2,1,6] => [{2,5},{4},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,3,4,1] => [1,4,3,2,1,6] => [{1,5},{4},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,2,4,1,3] => [3,1,4,2,1,6] => [{2,5},{4},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,4,3,1] => [1,3,4,2,1,6] => [{1,5},{4},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,3,1,2,4] => [4,2,1,3,1,6] => [{3,5},{2},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,1,4,2] => [2,4,1,3,1,6] => [{3,5},{1},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,2,1,4] => [4,1,2,3,1,6] => [{2,5},{3},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,2,4,1] => [1,4,2,3,1,6] => [{1,5},{3},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,3,4,1,2] => [2,1,4,3,1,6] => [{2,5},{1},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,4,2,1] => [1,2,4,3,1,6] => [{1,5},{2},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,1,2,3] => [3,2,1,4,1,6] => [{3,5},{2},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,1,3,2] => [2,3,1,4,1,6] => [{3,5},{1},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,2,1,3] => [3,1,2,4,1,6] => [{2,5},{3},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,2,3,1] => [1,3,2,4,1,6] => [{1,5},{3},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,3,1,2] => [2,1,3,4,1,6] => [{2,5},{1},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,3,2,1] => [1,2,3,4,1,6] => [{1,5},{2},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,1,3,4] => [4,3,1,1,2,6] => [{3,4},{5},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,1,4,3] => [3,4,1,1,2,6] => [{3,4},{5},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,3,1,4] => [4,1,3,1,2,6] => [{2,4},{5},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,3,4,1] => [1,4,3,1,2,6] => [{1,4},{5},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,1,4,1,3] => [3,1,4,1,2,6] => [{2,4},{5},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,4,3,1] => [1,3,4,1,2,6] => [{1,4},{5},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,1,1,4] => [4,1,1,3,2,6] => [{2,3},{5},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,3,1,4,1] => [1,4,1,3,2,6] => [{1,3},{5},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,3,4,1,1] => [1,1,4,3,2,6] => [{1,2},{5},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,4,1,1,3] => [3,1,1,4,2,6] => [{2,3},{5},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,4,1,3,1] => [1,3,1,4,2,6] => [{1,3},{5},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,4,3,1,1] => [1,1,3,4,2,6] => [{1,2},{5},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,1,1,2,4] => [4,2,1,1,3,6] => [{3,4},{2},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,1,4,2] => [2,4,1,1,3,6] => [{3,4},{1},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,2,1,4] => [4,1,2,1,3,6] => [{2,4},{3},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,2,4,1] => [1,4,2,1,3,6] => [{1,4},{3},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,1,4,1,2] => [2,1,4,1,3,6] => [{2,4},{1},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,4,2,1] => [1,2,4,1,3,6] => [{1,4},{2},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,1,1,4] => [4,1,1,2,3,6] => [{2,3},{4},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,2,1,4,1] => [1,4,1,2,3,6] => [{1,3},{4},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,2,4,1,1] => [1,1,4,2,3,6] => [{1,2},{4},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,4,1,1,2] => [2,1,1,4,3,6] => [{2,3},{1},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,4,1,2,1] => [1,2,1,4,3,6] => [{1,3},{2},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,4,2,1,1] => [1,1,2,4,3,6] => [{1,2},{3},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,1,1,2,3] => [3,2,1,1,4,6] => [{3,4},{2},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,1,3,2] => [2,3,1,1,4,6] => [{3,4},{1},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,2,1,3] => [3,1,2,1,4,6] => [{2,4},{3},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,2,3,1] => [1,3,2,1,4,6] => [{1,4},{3},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,1,3,1,2] => [2,1,3,1,4,6] => [{2,4},{1},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,3,2,1] => [1,2,3,1,4,6] => [{1,4},{2},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,1,1,3] => [3,1,1,2,4,6] => [{2,3},{4},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,2,1,3,1] => [1,3,1,2,4,6] => [{1,3},{4},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,2,3,1,1] => [1,1,3,2,4,6] => [{1,2},{4},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,3,1,1,2] => [2,1,1,3,4,6] => [{2,3},{1},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,3,1,2,1] => [1,2,1,3,4,6] => [{1,3},{2},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,3,2,1,1] => [1,1,2,3,4,6] => [{1,2},{3},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[1,1,2,3,5,5] => [5,5,3,2,1,1] => [{5,6},{4},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,2,5,3,5] => [5,3,5,2,1,1] => [{5,6},{4},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,2,5,5,3] => [3,5,5,2,1,1] => [{5,6},{4},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,3,2,5,5] => [5,5,2,3,1,1] => [{5,6},{3},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,3,5,2,5] => [5,2,5,3,1,1] => [{5,6},{2},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,3,5,5,2] => [2,5,5,3,1,1] => [{5,6},{1},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,5,2,3,5] => [5,3,2,5,1,1] => [{5,6},{3},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,2,5,3] => [3,5,2,5,1,1] => [{5,6},{3},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,3,2,5] => [5,2,3,5,1,1] => [{5,6},{2},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,3,5,2] => [2,5,3,5,1,1] => [{5,6},{1},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,5,2,3] => [3,2,5,5,1,1] => [{5,6},{2},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,1,5,5,3,2] => [2,3,5,5,1,1] => [{5,6},{1},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,2,1,3,5,5] => [5,5,3,1,2,1] => [{4,6},{5},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,2,1,5,3,5] => [5,3,5,1,2,1] => [{4,6},{5},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,2,1,5,5,3] => [3,5,5,1,2,1] => [{4,6},{5},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,2,3,1,5,5] => [5,5,1,3,2,1] => [{3,6},{5},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,2,3,5,1,5] => [5,1,5,3,2,1] => [{2,6},{5},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,2,3,5,5,1] => [1,5,5,3,2,1] => [{1,6},{5},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,2,5,1,3,5] => [5,3,1,5,2,1] => [{3,6},{5},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,2,5,1,5,3] => [3,5,1,5,2,1] => [{3,6},{5},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,2,5,3,1,5] => [5,1,3,5,2,1] => [{2,6},{5},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,2,5,3,5,1] => [1,5,3,5,2,1] => [{1,6},{5},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,2,5,5,1,3] => [3,1,5,5,2,1] => [{2,6},{5},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,2,5,5,3,1] => [1,3,5,5,2,1] => [{1,6},{5},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,3,1,2,5,5] => [5,5,2,1,3,1] => [{4,6},{3},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,3,1,5,2,5] => [5,2,5,1,3,1] => [{4,6},{2},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,3,1,5,5,2] => [2,5,5,1,3,1] => [{4,6},{1},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,3,2,1,5,5] => [5,5,1,2,3,1] => [{3,6},{4},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,3,2,5,1,5] => [5,1,5,2,3,1] => [{2,6},{4},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,3,2,5,5,1] => [1,5,5,2,3,1] => [{1,6},{4},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,3,5,1,2,5] => [5,2,1,5,3,1] => [{3,6},{2},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,3,5,1,5,2] => [2,5,1,5,3,1] => [{3,6},{1},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,3,5,2,1,5] => [5,1,2,5,3,1] => [{2,6},{3},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,3,5,2,5,1] => [1,5,2,5,3,1] => [{1,6},{3},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,3,5,5,1,2] => [2,1,5,5,3,1] => [{2,6},{1},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,3,5,5,2,1] => [1,2,5,5,3,1] => [{1,6},{2},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,5,1,2,3,5] => [5,3,2,1,5,1] => [{4,6},{3},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,2,5,3] => [3,5,2,1,5,1] => [{4,6},{3},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,3,2,5] => [5,2,3,1,5,1] => [{4,6},{2},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,3,5,2] => [2,5,3,1,5,1] => [{4,6},{1},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,5,2,3] => [3,2,5,1,5,1] => [{4,6},{2},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,1,5,3,2] => [2,3,5,1,5,1] => [{4,6},{1},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,2,1,3,5] => [5,3,1,2,5,1] => [{3,6},{4},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,2,1,5,3] => [3,5,1,2,5,1] => [{3,6},{4},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,2,3,1,5] => [5,1,3,2,5,1] => [{2,6},{4},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,2,3,5,1] => [1,5,3,2,5,1] => [{1,6},{4},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,2,5,1,3] => [3,1,5,2,5,1] => [{2,6},{4},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,2,5,3,1] => [1,3,5,2,5,1] => [{1,6},{4},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,3,1,2,5] => [5,2,1,3,5,1] => [{3,6},{2},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,3,1,5,2] => [2,5,1,3,5,1] => [{3,6},{1},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,3,2,1,5] => [5,1,2,3,5,1] => [{2,6},{3},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,3,2,5,1] => [1,5,2,3,5,1] => [{1,6},{3},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,3,5,1,2] => [2,1,5,3,5,1] => [{2,6},{1},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,3,5,2,1] => [1,2,5,3,5,1] => [{1,6},{2},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,5,1,2,3] => [3,2,1,5,5,1] => [{3,6},{2},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,1,3,2] => [2,3,1,5,5,1] => [{3,6},{1},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,2,1,3] => [3,1,2,5,5,1] => [{2,6},{3},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,2,3,1] => [1,3,2,5,5,1] => [{1,6},{3},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[1,5,5,3,1,2] => [2,1,3,5,5,1] => [{2,6},{1},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,3,2,1] => [1,2,3,5,5,1] => [{1,6},{2},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,1,1,3,5,5] => [5,5,3,1,1,2] => [{4,5},{6},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[2,1,1,5,3,5] => [5,3,5,1,1,2] => [{4,5},{6},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[2,1,1,5,5,3] => [3,5,5,1,1,2] => [{4,5},{6},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[2,1,3,1,5,5] => [5,5,1,3,1,2] => [{3,5},{6},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[2,1,3,5,1,5] => [5,1,5,3,1,2] => [{2,5},{6},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[2,1,3,5,5,1] => [1,5,5,3,1,2] => [{1,5},{6},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[2,1,5,1,3,5] => [5,3,1,5,1,2] => [{3,5},{6},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[2,1,5,1,5,3] => [3,5,1,5,1,2] => [{3,5},{6},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[2,1,5,3,1,5] => [5,1,3,5,1,2] => [{2,5},{6},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[2,1,5,3,5,1] => [1,5,3,5,1,2] => [{1,5},{6},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[2,1,5,5,1,3] => [3,1,5,5,1,2] => [{2,5},{6},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[2,1,5,5,3,1] => [1,3,5,5,1,2] => [{1,5},{6},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[2,3,1,1,5,5] => [5,5,1,1,3,2] => [{3,4},{6},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[2,3,1,5,1,5] => [5,1,5,1,3,2] => [{2,4},{6},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[2,3,1,5,5,1] => [1,5,5,1,3,2] => [{1,4},{6},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[2,3,5,1,1,5] => [5,1,1,5,3,2] => [{2,3},{6},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[2,3,5,1,5,1] => [1,5,1,5,3,2] => [{1,3},{6},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[2,3,5,5,1,1] => [1,1,5,5,3,2] => [{1,2},{6},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[2,5,1,1,3,5] => [5,3,1,1,5,2] => [{3,4},{6},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[2,5,1,1,5,3] => [3,5,1,1,5,2] => [{3,4},{6},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[2,5,1,3,1,5] => [5,1,3,1,5,2] => [{2,4},{6},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[2,5,1,3,5,1] => [1,5,3,1,5,2] => [{1,4},{6},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[2,5,1,5,1,3] => [3,1,5,1,5,2] => [{2,4},{6},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[2,5,1,5,3,1] => [1,3,5,1,5,2] => [{1,4},{6},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[2,5,3,1,1,5] => [5,1,1,3,5,2] => [{2,3},{6},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[2,5,3,1,5,1] => [1,5,1,3,5,2] => [{1,3},{6},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[2,5,3,5,1,1] => [1,1,5,3,5,2] => [{1,2},{6},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[2,5,5,1,1,3] => [3,1,1,5,5,2] => [{2,3},{6},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[2,5,5,1,3,1] => [1,3,1,5,5,2] => [{1,3},{6},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[2,5,5,3,1,1] => [1,1,3,5,5,2] => [{1,2},{6},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[3,1,1,2,5,5] => [5,5,2,1,1,3] => [{4,5},{3},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[3,1,1,5,2,5] => [5,2,5,1,1,3] => [{4,5},{2},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[3,1,1,5,5,2] => [2,5,5,1,1,3] => [{4,5},{1},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[3,1,2,1,5,5] => [5,5,1,2,1,3] => [{3,5},{4},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[3,1,2,5,1,5] => [5,1,5,2,1,3] => [{2,5},{4},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[3,1,2,5,5,1] => [1,5,5,2,1,3] => [{1,5},{4},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[3,1,5,1,2,5] => [5,2,1,5,1,3] => [{3,5},{2},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[3,1,5,1,5,2] => [2,5,1,5,1,3] => [{3,5},{1},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[3,1,5,2,1,5] => [5,1,2,5,1,3] => [{2,5},{3},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[3,1,5,2,5,1] => [1,5,2,5,1,3] => [{1,5},{3},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[3,1,5,5,1,2] => [2,1,5,5,1,3] => [{2,5},{1},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[3,1,5,5,2,1] => [1,2,5,5,1,3] => [{1,5},{2},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[3,2,1,1,5,5] => [5,5,1,1,2,3] => [{3,4},{5},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[3,2,1,5,1,5] => [5,1,5,1,2,3] => [{2,4},{5},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[3,2,1,5,5,1] => [1,5,5,1,2,3] => [{1,4},{5},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[3,2,5,1,1,5] => [5,1,1,5,2,3] => [{2,3},{5},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[3,2,5,1,5,1] => [1,5,1,5,2,3] => [{1,3},{5},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[3,2,5,5,1,1] => [1,1,5,5,2,3] => [{1,2},{5},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[3,5,1,1,2,5] => [5,2,1,1,5,3] => [{3,4},{2},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[3,5,1,1,5,2] => [2,5,1,1,5,3] => [{3,4},{1},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[3,5,1,2,1,5] => [5,1,2,1,5,3] => [{2,4},{3},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[3,5,1,2,5,1] => [1,5,2,1,5,3] => [{1,4},{3},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[3,5,1,5,1,2] => [2,1,5,1,5,3] => [{2,4},{1},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[3,5,1,5,2,1] => [1,2,5,1,5,3] => [{1,4},{2},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[3,5,2,1,1,5] => [5,1,1,2,5,3] => [{2,3},{4},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[3,5,2,1,5,1] => [1,5,1,2,5,3] => [{1,3},{4},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[3,5,2,5,1,1] => [1,1,5,2,5,3] => [{1,2},{4},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[3,5,5,1,1,2] => [2,1,1,5,5,3] => [{2,3},{1},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[3,5,5,1,2,1] => [1,2,1,5,5,3] => [{1,3},{2},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[3,5,5,2,1,1] => [1,1,2,5,5,3] => [{1,2},{3},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[5,1,1,2,3,5] => [5,3,2,1,1,5] => [{4,5},{3},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,2,5,3] => [3,5,2,1,1,5] => [{4,5},{3},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,3,2,5] => [5,2,3,1,1,5] => [{4,5},{2},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,3,5,2] => [2,5,3,1,1,5] => [{4,5},{1},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,5,2,3] => [3,2,5,1,1,5] => [{4,5},{2},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,1,5,3,2] => [2,3,5,1,1,5] => [{4,5},{1},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,2,1,3,5] => [5,3,1,2,1,5] => [{3,5},{4},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,2,1,5,3] => [3,5,1,2,1,5] => [{3,5},{4},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,2,3,1,5] => [5,1,3,2,1,5] => [{2,5},{4},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,2,3,5,1] => [1,5,3,2,1,5] => [{1,5},{4},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,2,5,1,3] => [3,1,5,2,1,5] => [{2,5},{4},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,2,5,3,1] => [1,3,5,2,1,5] => [{1,5},{4},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,3,1,2,5] => [5,2,1,3,1,5] => [{3,5},{2},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,3,1,5,2] => [2,5,1,3,1,5] => [{3,5},{1},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,3,2,1,5] => [5,1,2,3,1,5] => [{2,5},{3},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,3,2,5,1] => [1,5,2,3,1,5] => [{1,5},{3},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,3,5,1,2] => [2,1,5,3,1,5] => [{2,5},{1},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,3,5,2,1] => [1,2,5,3,1,5] => [{1,5},{2},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,5,1,2,3] => [3,2,1,5,1,5] => [{3,5},{2},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,1,3,2] => [2,3,1,5,1,5] => [{3,5},{1},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,2,1,3] => [3,1,2,5,1,5] => [{2,5},{3},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,2,3,1] => [1,3,2,5,1,5] => [{1,5},{3},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,1,5,3,1,2] => [2,1,3,5,1,5] => [{2,5},{1},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,3,2,1] => [1,2,3,5,1,5] => [{1,5},{2},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,1,1,3,5] => [5,3,1,1,2,5] => [{3,4},{5},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,2,1,1,5,3] => [3,5,1,1,2,5] => [{3,4},{5},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,2,1,3,1,5] => [5,1,3,1,2,5] => [{2,4},{5},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,2,1,3,5,1] => [1,5,3,1,2,5] => [{1,4},{5},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,2,1,5,1,3] => [3,1,5,1,2,5] => [{2,4},{5},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,2,1,5,3,1] => [1,3,5,1,2,5] => [{1,4},{5},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,2,3,1,1,5] => [5,1,1,3,2,5] => [{2,3},{5},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,2,3,1,5,1] => [1,5,1,3,2,5] => [{1,3},{5},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,2,3,5,1,1] => [1,1,5,3,2,5] => [{1,2},{5},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,2,5,1,1,3] => [3,1,1,5,2,5] => [{2,3},{5},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,2,5,1,3,1] => [1,3,1,5,2,5] => [{1,3},{5},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,2,5,3,1,1] => [1,1,3,5,2,5] => [{1,2},{5},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,3,1,1,2,5] => [5,2,1,1,3,5] => [{3,4},{2},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,3,1,1,5,2] => [2,5,1,1,3,5] => [{3,4},{1},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,3,1,2,1,5] => [5,1,2,1,3,5] => [{2,4},{3},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,3,1,2,5,1] => [1,5,2,1,3,5] => [{1,4},{3},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,3,1,5,1,2] => [2,1,5,1,3,5] => [{2,4},{1},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,3,1,5,2,1] => [1,2,5,1,3,5] => [{1,4},{2},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,3,2,1,1,5] => [5,1,1,2,3,5] => [{2,3},{4},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,3,2,1,5,1] => [1,5,1,2,3,5] => [{1,3},{4},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,3,2,5,1,1] => [1,1,5,2,3,5] => [{1,2},{4},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,3,5,1,1,2] => [2,1,1,5,3,5] => [{2,3},{1},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,3,5,1,2,1] => [1,2,1,5,3,5] => [{1,3},{2},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,3,5,2,1,1] => [1,1,2,5,3,5] => [{1,2},{3},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,5,1,1,2,3] => [3,2,1,1,5,5] => [{3,4},{2},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,1,3,2] => [2,3,1,1,5,5] => [{3,4},{1},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,2,1,3] => [3,1,2,1,5,5] => [{2,4},{3},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,2,3,1] => [1,3,2,1,5,5] => [{1,4},{3},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,1,3,1,2] => [2,1,3,1,5,5] => [{2,4},{1},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,3,2,1] => [1,2,3,1,5,5] => [{1,4},{2},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,1,1,3] => [3,1,1,2,5,5] => [{2,3},{4},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,2,1,3,1] => [1,3,1,2,5,5] => [{1,3},{4},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,2,3,1,1] => [1,1,3,2,5,5] => [{1,2},{4},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,3,1,1,2] => [2,1,1,3,5,5] => [{2,3},{1},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,3,1,2,1] => [1,2,1,3,5,5] => [{1,3},{2},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,3,2,1,1] => [1,1,2,3,5,5] => [{1,2},{3},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[1,1,2,3,5,6] => [6,5,3,2,1,1] => [{5,6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,3,6,5] => [5,6,3,2,1,1] => [{5,6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,3,6] => [6,3,5,2,1,1] => [{5,6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,6,3] => [3,6,5,2,1,1] => [{5,6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,3,5] => [5,3,6,2,1,1] => [{5,6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,5,3] => [3,5,6,2,1,1] => [{5,6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,5,6] => [6,5,2,3,1,1] => [{5,6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,2,6,5] => [5,6,2,3,1,1] => [{5,6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,2,6] => [6,2,5,3,1,1] => [{5,6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,6,2] => [2,6,5,3,1,1] => [{5,6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,2,5] => [5,2,6,3,1,1] => [{5,6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,5,2] => [2,5,6,3,1,1] => [{5,6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,3,6] => [6,3,2,5,1,1] => [{5,6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,6,3] => [3,6,2,5,1,1] => [{5,6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,2,6] => [6,2,3,5,1,1] => [{5,6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,6,2] => [2,6,3,5,1,1] => [{5,6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,2,3] => [3,2,6,5,1,1] => [{5,6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,3,2] => [2,3,6,5,1,1] => [{5,6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,3,5] => [5,3,2,6,1,1] => [{5,6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,5,3] => [3,5,2,6,1,1] => [{5,6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,2,5] => [5,2,3,6,1,1] => [{5,6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,5,2] => [2,5,3,6,1,1] => [{5,6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,2,3] => [3,2,5,6,1,1] => [{5,6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,3,2] => [2,3,5,6,1,1] => [{5,6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,2,1,3,5,6] => [6,5,3,1,2,1] => [{4,6},{5},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,3,6,5] => [5,6,3,1,2,1] => [{4,6},{5},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,3,6] => [6,3,5,1,2,1] => [{4,6},{5},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,6,3] => [3,6,5,1,2,1] => [{4,6},{5},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,3,5] => [5,3,6,1,2,1] => [{4,6},{5},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,5,3] => [3,5,6,1,2,1] => [{4,6},{5},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,3,1,5,6] => [6,5,1,3,2,1] => [{3,6},{5},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,1,6,5] => [5,6,1,3,2,1] => [{3,6},{5},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,3,5,1,6] => [6,1,5,3,2,1] => [{2,6},{5},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,5,6,1] => [1,6,5,3,2,1] => [{1,6},{5},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,3,6,1,5] => [5,1,6,3,2,1] => [{2,6},{5},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,3,6,5,1] => [1,5,6,3,2,1] => [{1,6},{5},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,1,3,6] => [6,3,1,5,2,1] => [{3,6},{5},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,1,6,3] => [3,6,1,5,2,1] => [{3,6},{5},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,3,1,6] => [6,1,3,5,2,1] => [{2,6},{5},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,3,6,1] => [1,6,3,5,2,1] => [{1,6},{5},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,6,1,3] => [3,1,6,5,2,1] => [{2,6},{5},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,6,3,1] => [1,3,6,5,2,1] => [{1,6},{5},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,1,3,5] => [5,3,1,6,2,1] => [{3,6},{5},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,1,5,3] => [3,5,1,6,2,1] => [{3,6},{5},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,3,1,5] => [5,1,3,6,2,1] => [{2,6},{5},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,3,5,1] => [1,5,3,6,2,1] => [{1,6},{5},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,5,1,3] => [3,1,5,6,2,1] => [{2,6},{5},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,5,3,1] => [1,3,5,6,2,1] => [{1,6},{5},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,1,2,5,6] => [6,5,2,1,3,1] => [{4,6},{3},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,2,6,5] => [5,6,2,1,3,1] => [{4,6},{3},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,2,6] => [6,2,5,1,3,1] => [{4,6},{2},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,6,2] => [2,6,5,1,3,1] => [{4,6},{1},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,2,5] => [5,2,6,1,3,1] => [{4,6},{2},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,5,2] => [2,5,6,1,3,1] => [{4,6},{1},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,2,1,5,6] => [6,5,1,2,3,1] => [{3,6},{4},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,1,6,5] => [5,6,1,2,3,1] => [{3,6},{4},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,2,5,1,6] => [6,1,5,2,3,1] => [{2,6},{4},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,5,6,1] => [1,6,5,2,3,1] => [{1,6},{4},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,2,6,1,5] => [5,1,6,2,3,1] => [{2,6},{4},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,2,6,5,1] => [1,5,6,2,3,1] => [{1,6},{4},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,1,2,6] => [6,2,1,5,3,1] => [{3,6},{2},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,1,6,2] => [2,6,1,5,3,1] => [{3,6},{1},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,2,1,6] => [6,1,2,5,3,1] => [{2,6},{3},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,2,6,1] => [1,6,2,5,3,1] => [{1,6},{3},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,6,1,2] => [2,1,6,5,3,1] => [{2,6},{1},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,6,2,1] => [1,2,6,5,3,1] => [{1,6},{2},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,1,2,5] => [5,2,1,6,3,1] => [{3,6},{2},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,1,5,2] => [2,5,1,6,3,1] => [{3,6},{1},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,2,1,5] => [5,1,2,6,3,1] => [{2,6},{3},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,2,5,1] => [1,5,2,6,3,1] => [{1,6},{3},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,5,1,2] => [2,1,5,6,3,1] => [{2,6},{1},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,5,2,1] => [1,2,5,6,3,1] => [{1,6},{2},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,1,2,3,6] => [6,3,2,1,5,1] => [{4,6},{3},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,2,6,3] => [3,6,2,1,5,1] => [{4,6},{3},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,3,2,6] => [6,2,3,1,5,1] => [{4,6},{2},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,3,6,2] => [2,6,3,1,5,1] => [{4,6},{1},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,2,3] => [3,2,6,1,5,1] => [{4,6},{2},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,3,2] => [2,3,6,1,5,1] => [{4,6},{1},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,2,1,3,6] => [6,3,1,2,5,1] => [{3,6},{4},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,1,6,3] => [3,6,1,2,5,1] => [{3,6},{4},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,3,1,6] => [6,1,3,2,5,1] => [{2,6},{4},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,3,6,1] => [1,6,3,2,5,1] => [{1,6},{4},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,2,6,1,3] => [3,1,6,2,5,1] => [{2,6},{4},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,6,3,1] => [1,3,6,2,5,1] => [{1,6},{4},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,3,1,2,6] => [6,2,1,3,5,1] => [{3,6},{2},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,1,6,2] => [2,6,1,3,5,1] => [{3,6},{1},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,2,1,6] => [6,1,2,3,5,1] => [{2,6},{3},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,2,6,1] => [1,6,2,3,5,1] => [{1,6},{3},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,3,6,1,2] => [2,1,6,3,5,1] => [{2,6},{1},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,6,2,1] => [1,2,6,3,5,1] => [{1,6},{2},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,1,2,3] => [3,2,1,6,5,1] => [{3,6},{2},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,1,3,2] => [2,3,1,6,5,1] => [{3,6},{1},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,2,1,3] => [3,1,2,6,5,1] => [{2,6},{3},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,2,3,1] => [1,3,2,6,5,1] => [{1,6},{3},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,3,1,2] => [2,1,3,6,5,1] => [{2,6},{1},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,3,2,1] => [1,2,3,6,5,1] => [{1,6},{2},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,6,1,2,3,5] => [5,3,2,1,6,1] => [{4,6},{3},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,2,5,3] => [3,5,2,1,6,1] => [{4,6},{3},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,3,2,5] => [5,2,3,1,6,1] => [{4,6},{2},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,3,5,2] => [2,5,3,1,6,1] => [{4,6},{1},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,2,3] => [3,2,5,1,6,1] => [{4,6},{2},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,3,2] => [2,3,5,1,6,1] => [{4,6},{1},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,2,1,3,5] => [5,3,1,2,6,1] => [{3,6},{4},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,1,5,3] => [3,5,1,2,6,1] => [{3,6},{4},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,3,1,5] => [5,1,3,2,6,1] => [{2,6},{4},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,3,5,1] => [1,5,3,2,6,1] => [{1,6},{4},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,2,5,1,3] => [3,1,5,2,6,1] => [{2,6},{4},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,5,3,1] => [1,3,5,2,6,1] => [{1,6},{4},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,3,1,2,5] => [5,2,1,3,6,1] => [{3,6},{2},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,1,5,2] => [2,5,1,3,6,1] => [{3,6},{1},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,2,1,5] => [5,1,2,3,6,1] => [{2,6},{3},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,2,5,1] => [1,5,2,3,6,1] => [{1,6},{3},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,3,5,1,2] => [2,1,5,3,6,1] => [{2,6},{1},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,5,2,1] => [1,2,5,3,6,1] => [{1,6},{2},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,1,2,3] => [3,2,1,5,6,1] => [{3,6},{2},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,1,3,2] => [2,3,1,5,6,1] => [{3,6},{1},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,2,1,3] => [3,1,2,5,6,1] => [{2,6},{3},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,2,3,1] => [1,3,2,5,6,1] => [{1,6},{3},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,3,1,2] => [2,1,3,5,6,1] => [{2,6},{1},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,3,2,1] => [1,2,3,5,6,1] => [{1,6},{2},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,1,1,3,5,6] => [6,5,3,1,1,2] => [{4,5},{6},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,3,6,5] => [5,6,3,1,1,2] => [{4,5},{6},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,3,6] => [6,3,5,1,1,2] => [{4,5},{6},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,6,3] => [3,6,5,1,1,2] => [{4,5},{6},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,3,5] => [5,3,6,1,1,2] => [{4,5},{6},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,5,3] => [3,5,6,1,1,2] => [{4,5},{6},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,3,1,5,6] => [6,5,1,3,1,2] => [{3,5},{6},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,1,6,5] => [5,6,1,3,1,2] => [{3,5},{6},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,3,5,1,6] => [6,1,5,3,1,2] => [{2,5},{6},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,5,6,1] => [1,6,5,3,1,2] => [{1,5},{6},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,3,6,1,5] => [5,1,6,3,1,2] => [{2,5},{6},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,3,6,5,1] => [1,5,6,3,1,2] => [{1,5},{6},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,1,3,6] => [6,3,1,5,1,2] => [{3,5},{6},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,1,6,3] => [3,6,1,5,1,2] => [{3,5},{6},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,3,1,6] => [6,1,3,5,1,2] => [{2,5},{6},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,3,6,1] => [1,6,3,5,1,2] => [{1,5},{6},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,6,1,3] => [3,1,6,5,1,2] => [{2,5},{6},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,6,3,1] => [1,3,6,5,1,2] => [{1,5},{6},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,1,3,5] => [5,3,1,6,1,2] => [{3,5},{6},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,1,5,3] => [3,5,1,6,1,2] => [{3,5},{6},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,3,1,5] => [5,1,3,6,1,2] => [{2,5},{6},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,3,5,1] => [1,5,3,6,1,2] => [{1,5},{6},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,5,1,3] => [3,1,5,6,1,2] => [{2,5},{6},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,5,3,1] => [1,3,5,6,1,2] => [{1,5},{6},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,1,5,6] => [6,5,1,1,3,2] => [{3,4},{6},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,1,6,5] => [5,6,1,1,3,2] => [{3,4},{6},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,5,1,6] => [6,1,5,1,3,2] => [{2,4},{6},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,5,6,1] => [1,6,5,1,3,2] => [{1,4},{6},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,3,1,6,1,5] => [5,1,6,1,3,2] => [{2,4},{6},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,3,1,6,5,1] => [1,5,6,1,3,2] => [{1,4},{6},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,3,5,1,1,6] => [6,1,1,5,3,2] => [{2,3},{6},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,3,5,1,6,1] => [1,6,1,5,3,2] => [{1,3},{6},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,3,5,6,1,1] => [1,1,6,5,3,2] => [{1,2},{6},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,3,6,1,1,5] => [5,1,1,6,3,2] => [{2,3},{6},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,3,6,1,5,1] => [1,5,1,6,3,2] => [{1,3},{6},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,3,6,5,1,1] => [1,1,5,6,3,2] => [{1,2},{6},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,5,1,1,3,6] => [6,3,1,1,5,2] => [{3,4},{6},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,1,6,3] => [3,6,1,1,5,2] => [{3,4},{6},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,3,1,6] => [6,1,3,1,5,2] => [{2,4},{6},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,3,6,1] => [1,6,3,1,5,2] => [{1,4},{6},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,5,1,6,1,3] => [3,1,6,1,5,2] => [{2,4},{6},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,6,3,1] => [1,3,6,1,5,2] => [{1,4},{6},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,1,1,6] => [6,1,1,3,5,2] => [{2,3},{6},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,5,3,1,6,1] => [1,6,1,3,5,2] => [{1,3},{6},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,5,3,6,1,1] => [1,1,6,3,5,2] => [{1,2},{6},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,5,6,1,1,3] => [3,1,1,6,5,2] => [{2,3},{6},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,5,6,1,3,1] => [1,3,1,6,5,2] => [{1,3},{6},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,5,6,3,1,1] => [1,1,3,6,5,2] => [{1,2},{6},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,6,1,1,3,5] => [5,3,1,1,6,2] => [{3,4},{6},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,1,5,3] => [3,5,1,1,6,2] => [{3,4},{6},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,3,1,5] => [5,1,3,1,6,2] => [{2,4},{6},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,3,5,1] => [1,5,3,1,6,2] => [{1,4},{6},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,1,5,1,3] => [3,1,5,1,6,2] => [{2,4},{6},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,5,3,1] => [1,3,5,1,6,2] => [{1,4},{6},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,1,1,5] => [5,1,1,3,6,2] => [{2,3},{6},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,3,1,5,1] => [1,5,1,3,6,2] => [{1,3},{6},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,3,5,1,1] => [1,1,5,3,6,2] => [{1,2},{6},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,5,1,1,3] => [3,1,1,5,6,2] => [{2,3},{6},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,5,1,3,1] => [1,3,1,5,6,2] => [{1,3},{6},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,5,3,1,1] => [1,1,3,5,6,2] => [{1,2},{6},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,1,1,2,5,6] => [6,5,2,1,1,3] => [{4,5},{3},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,2,6,5] => [5,6,2,1,1,3] => [{4,5},{3},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,2,6] => [6,2,5,1,1,3] => [{4,5},{2},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,6,2] => [2,6,5,1,1,3] => [{4,5},{1},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,2,5] => [5,2,6,1,1,3] => [{4,5},{2},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,5,2] => [2,5,6,1,1,3] => [{4,5},{1},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,2,1,5,6] => [6,5,1,2,1,3] => [{3,5},{4},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,1,6,5] => [5,6,1,2,1,3] => [{3,5},{4},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,2,5,1,6] => [6,1,5,2,1,3] => [{2,5},{4},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,5,6,1] => [1,6,5,2,1,3] => [{1,5},{4},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,2,6,1,5] => [5,1,6,2,1,3] => [{2,5},{4},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,2,6,5,1] => [1,5,6,2,1,3] => [{1,5},{4},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,1,2,6] => [6,2,1,5,1,3] => [{3,5},{2},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,1,6,2] => [2,6,1,5,1,3] => [{3,5},{1},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,2,1,6] => [6,1,2,5,1,3] => [{2,5},{3},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,2,6,1] => [1,6,2,5,1,3] => [{1,5},{3},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,6,1,2] => [2,1,6,5,1,3] => [{2,5},{1},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,6,2,1] => [1,2,6,5,1,3] => [{1,5},{2},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,1,2,5] => [5,2,1,6,1,3] => [{3,5},{2},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,1,5,2] => [2,5,1,6,1,3] => [{3,5},{1},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,2,1,5] => [5,1,2,6,1,3] => [{2,5},{3},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,2,5,1] => [1,5,2,6,1,3] => [{1,5},{3},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,5,1,2] => [2,1,5,6,1,3] => [{2,5},{1},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,5,2,1] => [1,2,5,6,1,3] => [{1,5},{2},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,1,5,6] => [6,5,1,1,2,3] => [{3,4},{5},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,1,6,5] => [5,6,1,1,2,3] => [{3,4},{5},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,5,1,6] => [6,1,5,1,2,3] => [{2,4},{5},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,5,6,1] => [1,6,5,1,2,3] => [{1,4},{5},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,2,1,6,1,5] => [5,1,6,1,2,3] => [{2,4},{5},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,2,1,6,5,1] => [1,5,6,1,2,3] => [{1,4},{5},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,2,5,1,1,6] => [6,1,1,5,2,3] => [{2,3},{5},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,2,5,1,6,1] => [1,6,1,5,2,3] => [{1,3},{5},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,2,5,6,1,1] => [1,1,6,5,2,3] => [{1,2},{5},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,2,6,1,1,5] => [5,1,1,6,2,3] => [{2,3},{5},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,2,6,1,5,1] => [1,5,1,6,2,3] => [{1,3},{5},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,2,6,5,1,1] => [1,1,5,6,2,3] => [{1,2},{5},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,5,1,1,2,6] => [6,2,1,1,5,3] => [{3,4},{2},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,1,6,2] => [2,6,1,1,5,3] => [{3,4},{1},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,2,1,6] => [6,1,2,1,5,3] => [{2,4},{3},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,2,6,1] => [1,6,2,1,5,3] => [{1,4},{3},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,5,1,6,1,2] => [2,1,6,1,5,3] => [{2,4},{1},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,6,2,1] => [1,2,6,1,5,3] => [{1,4},{2},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,1,1,6] => [6,1,1,2,5,3] => [{2,3},{4},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,5,2,1,6,1] => [1,6,1,2,5,3] => [{1,3},{4},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,5,2,6,1,1] => [1,1,6,2,5,3] => [{1,2},{4},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,5,6,1,1,2] => [2,1,1,6,5,3] => [{2,3},{1},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,5,6,1,2,1] => [1,2,1,6,5,3] => [{1,3},{2},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,5,6,2,1,1] => [1,1,2,6,5,3] => [{1,2},{3},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,6,1,1,2,5] => [5,2,1,1,6,3] => [{3,4},{2},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,1,5,2] => [2,5,1,1,6,3] => [{3,4},{1},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,2,1,5] => [5,1,2,1,6,3] => [{2,4},{3},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,2,5,1] => [1,5,2,1,6,3] => [{1,4},{3},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,1,5,1,2] => [2,1,5,1,6,3] => [{2,4},{1},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,5,2,1] => [1,2,5,1,6,3] => [{1,4},{2},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,1,1,5] => [5,1,1,2,6,3] => [{2,3},{4},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,2,1,5,1] => [1,5,1,2,6,3] => [{1,3},{4},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,2,5,1,1] => [1,1,5,2,6,3] => [{1,2},{4},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,5,1,1,2] => [2,1,1,5,6,3] => [{2,3},{1},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,5,1,2,1] => [1,2,1,5,6,3] => [{1,3},{2},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,5,2,1,1] => [1,1,2,5,6,3] => [{1,2},{3},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[5,1,1,2,3,6] => [6,3,2,1,1,5] => [{4,5},{3},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,2,6,3] => [3,6,2,1,1,5] => [{4,5},{3},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,3,2,6] => [6,2,3,1,1,5] => [{4,5},{2},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,3,6,2] => [2,6,3,1,1,5] => [{4,5},{1},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,2,3] => [3,2,6,1,1,5] => [{4,5},{2},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,3,2] => [2,3,6,1,1,5] => [{4,5},{1},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,2,1,3,6] => [6,3,1,2,1,5] => [{3,5},{4},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,1,6,3] => [3,6,1,2,1,5] => [{3,5},{4},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,3,1,6] => [6,1,3,2,1,5] => [{2,5},{4},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,3,6,1] => [1,6,3,2,1,5] => [{1,5},{4},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,2,6,1,3] => [3,1,6,2,1,5] => [{2,5},{4},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,6,3,1] => [1,3,6,2,1,5] => [{1,5},{4},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,3,1,2,6] => [6,2,1,3,1,5] => [{3,5},{2},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,1,6,2] => [2,6,1,3,1,5] => [{3,5},{1},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,2,1,6] => [6,1,2,3,1,5] => [{2,5},{3},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,2,6,1] => [1,6,2,3,1,5] => [{1,5},{3},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,3,6,1,2] => [2,1,6,3,1,5] => [{2,5},{1},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,6,2,1] => [1,2,6,3,1,5] => [{1,5},{2},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,1,2,3] => [3,2,1,6,1,5] => [{3,5},{2},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,1,3,2] => [2,3,1,6,1,5] => [{3,5},{1},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,2,1,3] => [3,1,2,6,1,5] => [{2,5},{3},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,2,3,1] => [1,3,2,6,1,5] => [{1,5},{3},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,3,1,2] => [2,1,3,6,1,5] => [{2,5},{1},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,3,2,1] => [1,2,3,6,1,5] => [{1,5},{2},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,1,3,6] => [6,3,1,1,2,5] => [{3,4},{5},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,1,6,3] => [3,6,1,1,2,5] => [{3,4},{5},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,3,1,6] => [6,1,3,1,2,5] => [{2,4},{5},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,3,6,1] => [1,6,3,1,2,5] => [{1,4},{5},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,2,1,6,1,3] => [3,1,6,1,2,5] => [{2,4},{5},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,6,3,1] => [1,3,6,1,2,5] => [{1,4},{5},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,1,1,6] => [6,1,1,3,2,5] => [{2,3},{5},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,2,3,1,6,1] => [1,6,1,3,2,5] => [{1,3},{5},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,2,3,6,1,1] => [1,1,6,3,2,5] => [{1,2},{5},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,2,6,1,1,3] => [3,1,1,6,2,5] => [{2,3},{5},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,2,6,1,3,1] => [1,3,1,6,2,5] => [{1,3},{5},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,2,6,3,1,1] => [1,1,3,6,2,5] => [{1,2},{5},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,3,1,1,2,6] => [6,2,1,1,3,5] => [{3,4},{2},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,1,6,2] => [2,6,1,1,3,5] => [{3,4},{1},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,2,1,6] => [6,1,2,1,3,5] => [{2,4},{3},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,2,6,1] => [1,6,2,1,3,5] => [{1,4},{3},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,3,1,6,1,2] => [2,1,6,1,3,5] => [{2,4},{1},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,6,2,1] => [1,2,6,1,3,5] => [{1,4},{2},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,1,1,6] => [6,1,1,2,3,5] => [{2,3},{4},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,3,2,1,6,1] => [1,6,1,2,3,5] => [{1,3},{4},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,3,2,6,1,1] => [1,1,6,2,3,5] => [{1,2},{4},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,3,6,1,1,2] => [2,1,1,6,3,5] => [{2,3},{1},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,3,6,1,2,1] => [1,2,1,6,3,5] => [{1,3},{2},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,3,6,2,1,1] => [1,1,2,6,3,5] => [{1,2},{3},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,6,1,1,2,3] => [3,2,1,1,6,5] => [{3,4},{2},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,1,3,2] => [2,3,1,1,6,5] => [{3,4},{1},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,2,1,3] => [3,1,2,1,6,5] => [{2,4},{3},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,2,3,1] => [1,3,2,1,6,5] => [{1,4},{3},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,1,3,1,2] => [2,1,3,1,6,5] => [{2,4},{1},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,3,2,1] => [1,2,3,1,6,5] => [{1,4},{2},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,1,1,3] => [3,1,1,2,6,5] => [{2,3},{4},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,2,1,3,1] => [1,3,1,2,6,5] => [{1,3},{4},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,2,3,1,1] => [1,1,3,2,6,5] => [{1,2},{4},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,3,1,1,2] => [2,1,1,3,6,5] => [{2,3},{1},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,3,1,2,1] => [1,2,1,3,6,5] => [{1,3},{2},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,3,2,1,1] => [1,1,2,3,6,5] => [{1,2},{3},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[6,1,1,2,3,5] => [5,3,2,1,1,6] => [{4,5},{3},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,2,5,3] => [3,5,2,1,1,6] => [{4,5},{3},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,3,2,5] => [5,2,3,1,1,6] => [{4,5},{2},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,3,5,2] => [2,5,3,1,1,6] => [{4,5},{1},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,2,3] => [3,2,5,1,1,6] => [{4,5},{2},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,3,2] => [2,3,5,1,1,6] => [{4,5},{1},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,2,1,3,5] => [5,3,1,2,1,6] => [{3,5},{4},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,1,5,3] => [3,5,1,2,1,6] => [{3,5},{4},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,3,1,5] => [5,1,3,2,1,6] => [{2,5},{4},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,3,5,1] => [1,5,3,2,1,6] => [{1,5},{4},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,2,5,1,3] => [3,1,5,2,1,6] => [{2,5},{4},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,5,3,1] => [1,3,5,2,1,6] => [{1,5},{4},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,3,1,2,5] => [5,2,1,3,1,6] => [{3,5},{2},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,1,5,2] => [2,5,1,3,1,6] => [{3,5},{1},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,2,1,5] => [5,1,2,3,1,6] => [{2,5},{3},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,2,5,1] => [1,5,2,3,1,6] => [{1,5},{3},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,3,5,1,2] => [2,1,5,3,1,6] => [{2,5},{1},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,5,2,1] => [1,2,5,3,1,6] => [{1,5},{2},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,1,2,3] => [3,2,1,5,1,6] => [{3,5},{2},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,1,3,2] => [2,3,1,5,1,6] => [{3,5},{1},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,2,1,3] => [3,1,2,5,1,6] => [{2,5},{3},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,2,3,1] => [1,3,2,5,1,6] => [{1,5},{3},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,3,1,2] => [2,1,3,5,1,6] => [{2,5},{1},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,3,2,1] => [1,2,3,5,1,6] => [{1,5},{2},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,1,3,5] => [5,3,1,1,2,6] => [{3,4},{5},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,1,5,3] => [3,5,1,1,2,6] => [{3,4},{5},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,3,1,5] => [5,1,3,1,2,6] => [{2,4},{5},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,3,5,1] => [1,5,3,1,2,6] => [{1,4},{5},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,1,5,1,3] => [3,1,5,1,2,6] => [{2,4},{5},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,5,3,1] => [1,3,5,1,2,6] => [{1,4},{5},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,1,1,5] => [5,1,1,3,2,6] => [{2,3},{5},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,3,1,5,1] => [1,5,1,3,2,6] => [{1,3},{5},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,3,5,1,1] => [1,1,5,3,2,6] => [{1,2},{5},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,5,1,1,3] => [3,1,1,5,2,6] => [{2,3},{5},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,5,1,3,1] => [1,3,1,5,2,6] => [{1,3},{5},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,5,3,1,1] => [1,1,3,5,2,6] => [{1,2},{5},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,1,1,2,5] => [5,2,1,1,3,6] => [{3,4},{2},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,1,5,2] => [2,5,1,1,3,6] => [{3,4},{1},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,2,1,5] => [5,1,2,1,3,6] => [{2,4},{3},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,2,5,1] => [1,5,2,1,3,6] => [{1,4},{3},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,1,5,1,2] => [2,1,5,1,3,6] => [{2,4},{1},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,5,2,1] => [1,2,5,1,3,6] => [{1,4},{2},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,1,1,5] => [5,1,1,2,3,6] => [{2,3},{4},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,2,1,5,1] => [1,5,1,2,3,6] => [{1,3},{4},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,2,5,1,1] => [1,1,5,2,3,6] => [{1,2},{4},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,5,1,1,2] => [2,1,1,5,3,6] => [{2,3},{1},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,5,1,2,1] => [1,2,1,5,3,6] => [{1,3},{2},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,5,2,1,1] => [1,1,2,5,3,6] => [{1,2},{3},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,1,1,2,3] => [3,2,1,1,5,6] => [{3,4},{2},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,1,3,2] => [2,3,1,1,5,6] => [{3,4},{1},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,2,1,3] => [3,1,2,1,5,6] => [{2,4},{3},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,2,3,1] => [1,3,2,1,5,6] => [{1,4},{3},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,1,3,1,2] => [2,1,3,1,5,6] => [{2,4},{1},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,3,2,1] => [1,2,3,1,5,6] => [{1,4},{2},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,1,1,3] => [3,1,1,2,5,6] => [{2,3},{4},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,2,1,3,1] => [1,3,1,2,5,6] => [{1,3},{4},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,2,3,1,1] => [1,1,3,2,5,6] => [{1,2},{4},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,3,1,1,2] => [2,1,1,3,5,6] => [{2,3},{1},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,3,1,2,1] => [1,2,1,3,5,6] => [{1,3},{2},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,3,2,1,1] => [1,1,2,3,5,6] => [{1,2},{3},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[1,1,2,4,4,4] => [4,4,4,2,1,1] => [{5,6},{4},{1,2,3}] => {{1,2,3},{4},{5,6}}
[1,1,4,2,4,4] => [4,4,2,4,1,1] => [{5,6},{3},{1,2,4}] => {{1,2,4},{3},{5,6}}
[1,1,4,4,2,4] => [4,2,4,4,1,1] => [{5,6},{2},{1,3,4}] => {{1,3,4},{2},{5,6}}
[1,1,4,4,4,2] => [2,4,4,4,1,1] => [{5,6},{1},{2,3,4}] => {{1},{2,3,4},{5,6}}
[1,2,1,4,4,4] => [4,4,4,1,2,1] => [{4,6},{5},{1,2,3}] => {{1,2,3},{4,6},{5}}
[1,2,4,1,4,4] => [4,4,1,4,2,1] => [{3,6},{5},{1,2,4}] => {{1,2,4},{3,6},{5}}
[1,2,4,4,1,4] => [4,1,4,4,2,1] => [{2,6},{5},{1,3,4}] => {{1,3,4},{2,6},{5}}
[1,2,4,4,4,1] => [1,4,4,4,2,1] => [{1,6},{5},{2,3,4}] => {{1,6},{2,3,4},{5}}
[1,4,1,2,4,4] => [4,4,2,1,4,1] => [{4,6},{3},{1,2,5}] => {{1,2,5},{3},{4,6}}
[1,4,1,4,2,4] => [4,2,4,1,4,1] => [{4,6},{2},{1,3,5}] => {{1,3,5},{2},{4,6}}
[1,4,1,4,4,2] => [2,4,4,1,4,1] => [{4,6},{1},{2,3,5}] => {{1},{2,3,5},{4,6}}
[1,4,2,1,4,4] => [4,4,1,2,4,1] => [{3,6},{4},{1,2,5}] => {{1,2,5},{3,6},{4}}
[1,4,2,4,1,4] => [4,1,4,2,4,1] => [{2,6},{4},{1,3,5}] => {{1,3,5},{2,6},{4}}
[1,4,2,4,4,1] => [1,4,4,2,4,1] => [{1,6},{4},{2,3,5}] => {{1,6},{2,3,5},{4}}
[1,4,4,1,2,4] => [4,2,1,4,4,1] => [{3,6},{2},{1,4,5}] => {{1,4,5},{2},{3,6}}
[1,4,4,1,4,2] => [2,4,1,4,4,1] => [{3,6},{1},{2,4,5}] => {{1},{2,4,5},{3,6}}
[1,4,4,2,1,4] => [4,1,2,4,4,1] => [{2,6},{3},{1,4,5}] => {{1,4,5},{2,6},{3}}
[1,4,4,2,4,1] => [1,4,2,4,4,1] => [{1,6},{3},{2,4,5}] => {{1,6},{2,4,5},{3}}
[1,4,4,4,1,2] => [2,1,4,4,4,1] => [{2,6},{1},{3,4,5}] => {{1},{2,6},{3,4,5}}
[1,4,4,4,2,1] => [1,2,4,4,4,1] => [{1,6},{2},{3,4,5}] => {{1,6},{2},{3,4,5}}
[2,1,1,4,4,4] => [4,4,4,1,1,2] => [{4,5},{6},{1,2,3}] => {{1,2,3},{4,5},{6}}
[2,1,4,1,4,4] => [4,4,1,4,1,2] => [{3,5},{6},{1,2,4}] => {{1,2,4},{3,5},{6}}
[2,1,4,4,1,4] => [4,1,4,4,1,2] => [{2,5},{6},{1,3,4}] => {{1,3,4},{2,5},{6}}
[2,1,4,4,4,1] => [1,4,4,4,1,2] => [{1,5},{6},{2,3,4}] => {{1,5},{2,3,4},{6}}
[2,4,1,1,4,4] => [4,4,1,1,4,2] => [{3,4},{6},{1,2,5}] => {{1,2,5},{3,4},{6}}
[2,4,1,4,1,4] => [4,1,4,1,4,2] => [{2,4},{6},{1,3,5}] => {{1,3,5},{2,4},{6}}
[2,4,1,4,4,1] => [1,4,4,1,4,2] => [{1,4},{6},{2,3,5}] => {{1,4},{2,3,5},{6}}
[2,4,4,1,1,4] => [4,1,1,4,4,2] => [{2,3},{6},{1,4,5}] => {{1,4,5},{2,3},{6}}
[2,4,4,1,4,1] => [1,4,1,4,4,2] => [{1,3},{6},{2,4,5}] => {{1,3},{2,4,5},{6}}
[2,4,4,4,1,1] => [1,1,4,4,4,2] => [{1,2},{6},{3,4,5}] => {{1,2},{3,4,5},{6}}
[4,1,1,2,4,4] => [4,4,2,1,1,4] => [{4,5},{3},{1,2,6}] => {{1,2,6},{3},{4,5}}
[4,1,1,4,2,4] => [4,2,4,1,1,4] => [{4,5},{2},{1,3,6}] => {{1,3,6},{2},{4,5}}
[4,1,1,4,4,2] => [2,4,4,1,1,4] => [{4,5},{1},{2,3,6}] => {{1},{2,3,6},{4,5}}
[4,1,2,1,4,4] => [4,4,1,2,1,4] => [{3,5},{4},{1,2,6}] => {{1,2,6},{3,5},{4}}
[4,1,2,4,1,4] => [4,1,4,2,1,4] => [{2,5},{4},{1,3,6}] => {{1,3,6},{2,5},{4}}
[4,1,2,4,4,1] => [1,4,4,2,1,4] => [{1,5},{4},{2,3,6}] => {{1,5},{2,3,6},{4}}
[4,1,4,1,2,4] => [4,2,1,4,1,4] => [{3,5},{2},{1,4,6}] => {{1,4,6},{2},{3,5}}
[4,1,4,1,4,2] => [2,4,1,4,1,4] => [{3,5},{1},{2,4,6}] => {{1},{2,4,6},{3,5}}
[4,1,4,2,1,4] => [4,1,2,4,1,4] => [{2,5},{3},{1,4,6}] => {{1,4,6},{2,5},{3}}
[4,1,4,2,4,1] => [1,4,2,4,1,4] => [{1,5},{3},{2,4,6}] => {{1,5},{2,4,6},{3}}
[4,1,4,4,1,2] => [2,1,4,4,1,4] => [{2,5},{1},{3,4,6}] => {{1},{2,5},{3,4,6}}
[4,1,4,4,2,1] => [1,2,4,4,1,4] => [{1,5},{2},{3,4,6}] => {{1,5},{2},{3,4,6}}
[4,2,1,1,4,4] => [4,4,1,1,2,4] => [{3,4},{5},{1,2,6}] => {{1,2,6},{3,4},{5}}
[4,2,1,4,1,4] => [4,1,4,1,2,4] => [{2,4},{5},{1,3,6}] => {{1,3,6},{2,4},{5}}
[4,2,1,4,4,1] => [1,4,4,1,2,4] => [{1,4},{5},{2,3,6}] => {{1,4},{2,3,6},{5}}
[4,2,4,1,1,4] => [4,1,1,4,2,4] => [{2,3},{5},{1,4,6}] => {{1,4,6},{2,3},{5}}
[4,2,4,1,4,1] => [1,4,1,4,2,4] => [{1,3},{5},{2,4,6}] => {{1,3},{2,4,6},{5}}
[4,2,4,4,1,1] => [1,1,4,4,2,4] => [{1,2},{5},{3,4,6}] => {{1,2},{3,4,6},{5}}
[4,4,1,1,2,4] => [4,2,1,1,4,4] => [{3,4},{2},{1,5,6}] => {{1,5,6},{2},{3,4}}
[4,4,1,1,4,2] => [2,4,1,1,4,4] => [{3,4},{1},{2,5,6}] => {{1},{2,5,6},{3,4}}
[4,4,1,2,1,4] => [4,1,2,1,4,4] => [{2,4},{3},{1,5,6}] => {{1,5,6},{2,4},{3}}
[4,4,1,2,4,1] => [1,4,2,1,4,4] => [{1,4},{3},{2,5,6}] => {{1,4},{2,5,6},{3}}
[4,4,1,4,1,2] => [2,1,4,1,4,4] => [{2,4},{1},{3,5,6}] => {{1},{2,4},{3,5,6}}
[4,4,1,4,2,1] => [1,2,4,1,4,4] => [{1,4},{2},{3,5,6}] => {{1,4},{2},{3,5,6}}
[4,4,2,1,1,4] => [4,1,1,2,4,4] => [{2,3},{4},{1,5,6}] => {{1,5,6},{2,3},{4}}
[4,4,2,1,4,1] => [1,4,1,2,4,4] => [{1,3},{4},{2,5,6}] => {{1,3},{2,5,6},{4}}
[4,4,2,4,1,1] => [1,1,4,2,4,4] => [{1,2},{4},{3,5,6}] => {{1,2},{3,5,6},{4}}
[4,4,4,1,1,2] => [2,1,1,4,4,4] => [{2,3},{1},{4,5,6}] => {{1},{2,3},{4,5,6}}
[4,4,4,1,2,1] => [1,2,1,4,4,4] => [{1,3},{2},{4,5,6}] => {{1,3},{2},{4,5,6}}
[4,4,4,2,1,1] => [1,1,2,4,4,4] => [{1,2},{3},{4,5,6}] => {{1,2},{3},{4,5,6}}
[1,1,2,4,4,5] => [5,4,4,2,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,2,4,5,4] => [4,5,4,2,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,2,5,4,4] => [4,4,5,2,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,4,2,4,5] => [5,4,2,4,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,4,2,5,4] => [4,5,2,4,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,4,4,2,5] => [5,2,4,4,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,4,4,5,2] => [2,5,4,4,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,4,5,2,4] => [4,2,5,4,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,5,4,2] => [2,4,5,4,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,5,2,4,4] => [4,4,2,5,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,5,4,2,4] => [4,2,4,5,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,4,4,2] => [2,4,4,5,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,2,1,4,4,5] => [5,4,4,1,2,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,2,1,4,5,4] => [4,5,4,1,2,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,2,1,5,4,4] => [4,4,5,1,2,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,2,4,1,4,5] => [5,4,1,4,2,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,2,4,1,5,4] => [4,5,1,4,2,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,2,4,4,1,5] => [5,1,4,4,2,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,2,4,4,5,1] => [1,5,4,4,2,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,2,4,5,1,4] => [4,1,5,4,2,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,2,4,5,4,1] => [1,4,5,4,2,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,2,5,1,4,4] => [4,4,1,5,2,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,2,5,4,1,4] => [4,1,4,5,2,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,2,5,4,4,1] => [1,4,4,5,2,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,4,1,2,4,5] => [5,4,2,1,4,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,4,1,2,5,4] => [4,5,2,1,4,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,4,1,4,2,5] => [5,2,4,1,4,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,4,1,4,5,2] => [2,5,4,1,4,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,4,1,5,2,4] => [4,2,5,1,4,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,4,1,5,4,2] => [2,4,5,1,4,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,4,2,1,4,5] => [5,4,1,2,4,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,4,2,1,5,4] => [4,5,1,2,4,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,4,2,4,1,5] => [5,1,4,2,4,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,4,2,4,5,1] => [1,5,4,2,4,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,4,2,5,1,4] => [4,1,5,2,4,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,4,2,5,4,1] => [1,4,5,2,4,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,4,4,1,2,5] => [5,2,1,4,4,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,4,4,1,5,2] => [2,5,1,4,4,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,4,4,2,1,5] => [5,1,2,4,4,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,4,4,2,5,1] => [1,5,2,4,4,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,4,4,5,1,2] => [2,1,5,4,4,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,4,4,5,2,1] => [1,2,5,4,4,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,4,5,1,2,4] => [4,2,1,5,4,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,4,5,1,4,2] => [2,4,1,5,4,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,4,5,2,1,4] => [4,1,2,5,4,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,4,5,2,4,1] => [1,4,2,5,4,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,5,4,1,2] => [2,1,4,5,4,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,4,5,4,2,1] => [1,2,4,5,4,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,5,1,2,4,4] => [4,4,2,1,5,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,1,4,2,4] => [4,2,4,1,5,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,4,4,2] => [2,4,4,1,5,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,2,1,4,4] => [4,4,1,2,5,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,2,4,1,4] => [4,1,4,2,5,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,2,4,4,1] => [1,4,4,2,5,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,5,4,1,2,4] => [4,2,1,4,5,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,4,1,4,2] => [2,4,1,4,5,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,4,2,1,4] => [4,1,2,4,5,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,4,2,4,1] => [1,4,2,4,5,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,4,4,1,2] => [2,1,4,4,5,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,4,4,2,1] => [1,2,4,4,5,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,1,1,4,4,5] => [5,4,4,1,1,2] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[2,1,1,4,5,4] => [4,5,4,1,1,2] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[2,1,1,5,4,4] => [4,4,5,1,1,2] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[2,1,4,1,4,5] => [5,4,1,4,1,2] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[2,1,4,1,5,4] => [4,5,1,4,1,2] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[2,1,4,4,1,5] => [5,1,4,4,1,2] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[2,1,4,4,5,1] => [1,5,4,4,1,2] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[2,1,4,5,1,4] => [4,1,5,4,1,2] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[2,1,4,5,4,1] => [1,4,5,4,1,2] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[2,1,5,1,4,4] => [4,4,1,5,1,2] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[2,1,5,4,1,4] => [4,1,4,5,1,2] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[2,1,5,4,4,1] => [1,4,4,5,1,2] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[2,4,1,1,4,5] => [5,4,1,1,4,2] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[2,4,1,1,5,4] => [4,5,1,1,4,2] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[2,4,1,4,1,5] => [5,1,4,1,4,2] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[2,4,1,4,5,1] => [1,5,4,1,4,2] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[2,4,1,5,1,4] => [4,1,5,1,4,2] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[2,4,1,5,4,1] => [1,4,5,1,4,2] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[2,4,4,1,1,5] => [5,1,1,4,4,2] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[2,4,4,1,5,1] => [1,5,1,4,4,2] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[2,4,4,5,1,1] => [1,1,5,4,4,2] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[2,4,5,1,1,4] => [4,1,1,5,4,2] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[2,4,5,1,4,1] => [1,4,1,5,4,2] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[2,4,5,4,1,1] => [1,1,4,5,4,2] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[2,5,1,1,4,4] => [4,4,1,1,5,2] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[2,5,1,4,1,4] => [4,1,4,1,5,2] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[2,5,1,4,4,1] => [1,4,4,1,5,2] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[2,5,4,1,1,4] => [4,1,1,4,5,2] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[2,5,4,1,4,1] => [1,4,1,4,5,2] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[2,5,4,4,1,1] => [1,1,4,4,5,2] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[4,1,1,2,4,5] => [5,4,2,1,1,4] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,1,1,2,5,4] => [4,5,2,1,1,4] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,1,1,4,2,5] => [5,2,4,1,1,4] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,1,1,4,5,2] => [2,5,4,1,1,4] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,1,1,5,2,4] => [4,2,5,1,1,4] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,1,1,5,4,2] => [2,4,5,1,1,4] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,1,2,1,4,5] => [5,4,1,2,1,4] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,1,2,1,5,4] => [4,5,1,2,1,4] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,1,2,4,1,5] => [5,1,4,2,1,4] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,1,2,4,5,1] => [1,5,4,2,1,4] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,1,2,5,1,4] => [4,1,5,2,1,4] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,1,2,5,4,1] => [1,4,5,2,1,4] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,1,4,1,2,5] => [5,2,1,4,1,4] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,1,4,1,5,2] => [2,5,1,4,1,4] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,1,4,2,1,5] => [5,1,2,4,1,4] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,1,4,2,5,1] => [1,5,2,4,1,4] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,1,4,5,1,2] => [2,1,5,4,1,4] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,1,4,5,2,1] => [1,2,5,4,1,4] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,1,5,1,2,4] => [4,2,1,5,1,4] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,1,5,1,4,2] => [2,4,1,5,1,4] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,1,5,2,1,4] => [4,1,2,5,1,4] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,1,5,2,4,1] => [1,4,2,5,1,4] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,1,5,4,1,2] => [2,1,4,5,1,4] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,1,5,4,2,1] => [1,2,4,5,1,4] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,2,1,1,4,5] => [5,4,1,1,2,4] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,2,1,1,5,4] => [4,5,1,1,2,4] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,2,1,4,1,5] => [5,1,4,1,2,4] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,2,1,4,5,1] => [1,5,4,1,2,4] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,2,1,5,1,4] => [4,1,5,1,2,4] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,2,1,5,4,1] => [1,4,5,1,2,4] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,2,4,1,1,5] => [5,1,1,4,2,4] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,2,4,1,5,1] => [1,5,1,4,2,4] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,2,4,5,1,1] => [1,1,5,4,2,4] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,2,5,1,1,4] => [4,1,1,5,2,4] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,2,5,1,4,1] => [1,4,1,5,2,4] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,2,5,4,1,1] => [1,1,4,5,2,4] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,4,1,1,2,5] => [5,2,1,1,4,4] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,1,1,5,2] => [2,5,1,1,4,4] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,1,2,1,5] => [5,1,2,1,4,4] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,1,2,5,1] => [1,5,2,1,4,4] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,1,5,1,2] => [2,1,5,1,4,4] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,1,5,2,1] => [1,2,5,1,4,4] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,2,1,1,5] => [5,1,1,2,4,4] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,2,1,5,1] => [1,5,1,2,4,4] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,2,5,1,1] => [1,1,5,2,4,4] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,5,1,1,2] => [2,1,1,5,4,4] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,4,5,1,2,1] => [1,2,1,5,4,4] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,5,2,1,1] => [1,1,2,5,4,4] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,5,1,1,2,4] => [4,2,1,1,5,4] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,5,1,1,4,2] => [2,4,1,1,5,4] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,5,1,2,1,4] => [4,1,2,1,5,4] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,5,1,2,4,1] => [1,4,2,1,5,4] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,5,1,4,1,2] => [2,1,4,1,5,4] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,5,1,4,2,1] => [1,2,4,1,5,4] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,5,2,1,1,4] => [4,1,1,2,5,4] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,5,2,1,4,1] => [1,4,1,2,5,4] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,5,2,4,1,1] => [1,1,4,2,5,4] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,5,4,1,1,2] => [2,1,1,4,5,4] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[4,5,4,1,2,1] => [1,2,1,4,5,4] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,5,4,2,1,1] => [1,1,2,4,5,4] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[5,1,1,2,4,4] => [4,4,2,1,1,5] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,1,4,2,4] => [4,2,4,1,1,5] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,4,4,2] => [2,4,4,1,1,5] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,2,1,4,4] => [4,4,1,2,1,5] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,2,4,1,4] => [4,1,4,2,1,5] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,2,4,4,1] => [1,4,4,2,1,5] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[5,1,4,1,2,4] => [4,2,1,4,1,5] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,4,1,4,2] => [2,4,1,4,1,5] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,4,2,1,4] => [4,1,2,4,1,5] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,4,2,4,1] => [1,4,2,4,1,5] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,4,4,1,2] => [2,1,4,4,1,5] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,4,4,2,1] => [1,2,4,4,1,5] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,1,1,4,4] => [4,4,1,1,2,5] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[5,2,1,4,1,4] => [4,1,4,1,2,5] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[5,2,1,4,4,1] => [1,4,4,1,2,5] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[5,2,4,1,1,4] => [4,1,1,4,2,5] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[5,2,4,1,4,1] => [1,4,1,4,2,5] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[5,2,4,4,1,1] => [1,1,4,4,2,5] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[5,4,1,1,2,4] => [4,2,1,1,4,5] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[5,4,1,1,4,2] => [2,4,1,1,4,5] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[5,4,1,2,1,4] => [4,1,2,1,4,5] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[5,4,1,2,4,1] => [1,4,2,1,4,5] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[5,4,1,4,1,2] => [2,1,4,1,4,5] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[5,4,1,4,2,1] => [1,2,4,1,4,5] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[5,4,2,1,1,4] => [4,1,1,2,4,5] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[5,4,2,1,4,1] => [1,4,1,2,4,5] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[5,4,2,4,1,1] => [1,1,4,2,4,5] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[5,4,4,1,1,2] => [2,1,1,4,4,5] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[5,4,4,1,2,1] => [1,2,1,4,4,5] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[5,4,4,2,1,1] => [1,1,2,4,4,5] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,2,4,4,6] => [6,4,4,2,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,2,4,6,4] => [4,6,4,2,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,2,6,4,4] => [4,4,6,2,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,4,2,4,6] => [6,4,2,4,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,4,2,6,4] => [4,6,2,4,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,4,4,2,6] => [6,2,4,4,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,4,4,6,2] => [2,6,4,4,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,4,6,2,4] => [4,2,6,4,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,6,4,2] => [2,4,6,4,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,6,2,4,4] => [4,4,2,6,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,6,4,2,4] => [4,2,4,6,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,4,4,2] => [2,4,4,6,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,2,1,4,4,6] => [6,4,4,1,2,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,2,1,4,6,4] => [4,6,4,1,2,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,2,1,6,4,4] => [4,4,6,1,2,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,2,4,1,4,6] => [6,4,1,4,2,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,2,4,1,6,4] => [4,6,1,4,2,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,2,4,4,1,6] => [6,1,4,4,2,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,2,4,4,6,1] => [1,6,4,4,2,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,2,4,6,1,4] => [4,1,6,4,2,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,2,4,6,4,1] => [1,4,6,4,2,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,2,6,1,4,4] => [4,4,1,6,2,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,2,6,4,1,4] => [4,1,4,6,2,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,2,6,4,4,1] => [1,4,4,6,2,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,4,1,2,4,6] => [6,4,2,1,4,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,4,1,2,6,4] => [4,6,2,1,4,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,4,1,4,2,6] => [6,2,4,1,4,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,4,1,4,6,2] => [2,6,4,1,4,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,4,1,6,2,4] => [4,2,6,1,4,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,4,1,6,4,2] => [2,4,6,1,4,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,4,2,1,4,6] => [6,4,1,2,4,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,4,2,1,6,4] => [4,6,1,2,4,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,4,2,4,1,6] => [6,1,4,2,4,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,4,2,4,6,1] => [1,6,4,2,4,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,4,2,6,1,4] => [4,1,6,2,4,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,4,2,6,4,1] => [1,4,6,2,4,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,4,4,1,2,6] => [6,2,1,4,4,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,4,4,1,6,2] => [2,6,1,4,4,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,4,4,2,1,6] => [6,1,2,4,4,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,4,4,2,6,1] => [1,6,2,4,4,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,4,4,6,1,2] => [2,1,6,4,4,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,4,4,6,2,1] => [1,2,6,4,4,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,4,6,1,2,4] => [4,2,1,6,4,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,4,6,1,4,2] => [2,4,1,6,4,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,4,6,2,1,4] => [4,1,2,6,4,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,4,6,2,4,1] => [1,4,2,6,4,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,6,4,1,2] => [2,1,4,6,4,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,4,6,4,2,1] => [1,2,4,6,4,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,6,1,2,4,4] => [4,4,2,1,6,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,1,4,2,4] => [4,2,4,1,6,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,4,4,2] => [2,4,4,1,6,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,2,1,4,4] => [4,4,1,2,6,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,2,4,1,4] => [4,1,4,2,6,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,2,4,4,1] => [1,4,4,2,6,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,6,4,1,2,4] => [4,2,1,4,6,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,4,1,4,2] => [2,4,1,4,6,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,4,2,1,4] => [4,1,2,4,6,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,4,2,4,1] => [1,4,2,4,6,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,4,4,1,2] => [2,1,4,4,6,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,4,4,2,1] => [1,2,4,4,6,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,1,1,4,4,6] => [6,4,4,1,1,2] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[2,1,1,4,6,4] => [4,6,4,1,1,2] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[2,1,1,6,4,4] => [4,4,6,1,1,2] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[2,1,4,1,4,6] => [6,4,1,4,1,2] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[2,1,4,1,6,4] => [4,6,1,4,1,2] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[2,1,4,4,1,6] => [6,1,4,4,1,2] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[2,1,4,4,6,1] => [1,6,4,4,1,2] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[2,1,4,6,1,4] => [4,1,6,4,1,2] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[2,1,4,6,4,1] => [1,4,6,4,1,2] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[2,1,6,1,4,4] => [4,4,1,6,1,2] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[2,1,6,4,1,4] => [4,1,4,6,1,2] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[2,1,6,4,4,1] => [1,4,4,6,1,2] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[2,4,1,1,4,6] => [6,4,1,1,4,2] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[2,4,1,1,6,4] => [4,6,1,1,4,2] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[2,4,1,4,1,6] => [6,1,4,1,4,2] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[2,4,1,4,6,1] => [1,6,4,1,4,2] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[2,4,1,6,1,4] => [4,1,6,1,4,2] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[2,4,1,6,4,1] => [1,4,6,1,4,2] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[2,4,4,1,1,6] => [6,1,1,4,4,2] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[2,4,4,1,6,1] => [1,6,1,4,4,2] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[2,4,4,6,1,1] => [1,1,6,4,4,2] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[2,4,6,1,1,4] => [4,1,1,6,4,2] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[2,4,6,1,4,1] => [1,4,1,6,4,2] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[2,4,6,4,1,1] => [1,1,4,6,4,2] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[2,6,1,1,4,4] => [4,4,1,1,6,2] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[2,6,1,4,1,4] => [4,1,4,1,6,2] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[2,6,1,4,4,1] => [1,4,4,1,6,2] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[2,6,4,1,1,4] => [4,1,1,4,6,2] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[2,6,4,1,4,1] => [1,4,1,4,6,2] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[2,6,4,4,1,1] => [1,1,4,4,6,2] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[4,1,1,2,4,6] => [6,4,2,1,1,4] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,1,1,2,6,4] => [4,6,2,1,1,4] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,1,1,4,2,6] => [6,2,4,1,1,4] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,1,1,4,6,2] => [2,6,4,1,1,4] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,1,1,6,2,4] => [4,2,6,1,1,4] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,1,1,6,4,2] => [2,4,6,1,1,4] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,1,2,1,4,6] => [6,4,1,2,1,4] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,1,2,1,6,4] => [4,6,1,2,1,4] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,1,2,4,1,6] => [6,1,4,2,1,4] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,1,2,4,6,1] => [1,6,4,2,1,4] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,1,2,6,1,4] => [4,1,6,2,1,4] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,1,2,6,4,1] => [1,4,6,2,1,4] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,1,4,1,2,6] => [6,2,1,4,1,4] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,1,4,1,6,2] => [2,6,1,4,1,4] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,1,4,2,1,6] => [6,1,2,4,1,4] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,1,4,2,6,1] => [1,6,2,4,1,4] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,1,4,6,1,2] => [2,1,6,4,1,4] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,1,4,6,2,1] => [1,2,6,4,1,4] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,1,6,1,2,4] => [4,2,1,6,1,4] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,1,6,1,4,2] => [2,4,1,6,1,4] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,1,6,2,1,4] => [4,1,2,6,1,4] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,1,6,2,4,1] => [1,4,2,6,1,4] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,1,6,4,1,2] => [2,1,4,6,1,4] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,1,6,4,2,1] => [1,2,4,6,1,4] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,2,1,1,4,6] => [6,4,1,1,2,4] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,2,1,1,6,4] => [4,6,1,1,2,4] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,2,1,4,1,6] => [6,1,4,1,2,4] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,2,1,4,6,1] => [1,6,4,1,2,4] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,2,1,6,1,4] => [4,1,6,1,2,4] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,2,1,6,4,1] => [1,4,6,1,2,4] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,2,4,1,1,6] => [6,1,1,4,2,4] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,2,4,1,6,1] => [1,6,1,4,2,4] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,2,4,6,1,1] => [1,1,6,4,2,4] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,2,6,1,1,4] => [4,1,1,6,2,4] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,2,6,1,4,1] => [1,4,1,6,2,4] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,2,6,4,1,1] => [1,1,4,6,2,4] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,4,1,1,2,6] => [6,2,1,1,4,4] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,1,1,6,2] => [2,6,1,1,4,4] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,1,2,1,6] => [6,1,2,1,4,4] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,1,2,6,1] => [1,6,2,1,4,4] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,1,6,1,2] => [2,1,6,1,4,4] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,1,6,2,1] => [1,2,6,1,4,4] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,2,1,1,6] => [6,1,1,2,4,4] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,2,1,6,1] => [1,6,1,2,4,4] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,2,6,1,1] => [1,1,6,2,4,4] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,6,1,1,2] => [2,1,1,6,4,4] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,4,6,1,2,1] => [1,2,1,6,4,4] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,6,2,1,1] => [1,1,2,6,4,4] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,6,1,1,2,4] => [4,2,1,1,6,4] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,6,1,1,4,2] => [2,4,1,1,6,4] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,6,1,2,1,4] => [4,1,2,1,6,4] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,6,1,2,4,1] => [1,4,2,1,6,4] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,6,1,4,1,2] => [2,1,4,1,6,4] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,6,1,4,2,1] => [1,2,4,1,6,4] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,6,2,1,1,4] => [4,1,1,2,6,4] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,6,2,1,4,1] => [1,4,1,2,6,4] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,6,2,4,1,1] => [1,1,4,2,6,4] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,6,4,1,1,2] => [2,1,1,4,6,4] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[4,6,4,1,2,1] => [1,2,1,4,6,4] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,6,4,2,1,1] => [1,1,2,4,6,4] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[6,1,1,2,4,4] => [4,4,2,1,1,6] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,1,4,2,4] => [4,2,4,1,1,6] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,4,4,2] => [2,4,4,1,1,6] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,2,1,4,4] => [4,4,1,2,1,6] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,2,4,1,4] => [4,1,4,2,1,6] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,2,4,4,1] => [1,4,4,2,1,6] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[6,1,4,1,2,4] => [4,2,1,4,1,6] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,4,1,4,2] => [2,4,1,4,1,6] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,4,2,1,4] => [4,1,2,4,1,6] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,4,2,4,1] => [1,4,2,4,1,6] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,4,4,1,2] => [2,1,4,4,1,6] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,4,4,2,1] => [1,2,4,4,1,6] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,1,1,4,4] => [4,4,1,1,2,6] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[6,2,1,4,1,4] => [4,1,4,1,2,6] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[6,2,1,4,4,1] => [1,4,4,1,2,6] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[6,2,4,1,1,4] => [4,1,1,4,2,6] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[6,2,4,1,4,1] => [1,4,1,4,2,6] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[6,2,4,4,1,1] => [1,1,4,4,2,6] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[6,4,1,1,2,4] => [4,2,1,1,4,6] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[6,4,1,1,4,2] => [2,4,1,1,4,6] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[6,4,1,2,1,4] => [4,1,2,1,4,6] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[6,4,1,2,4,1] => [1,4,2,1,4,6] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[6,4,1,4,1,2] => [2,1,4,1,4,6] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[6,4,1,4,2,1] => [1,2,4,1,4,6] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[6,4,2,1,1,4] => [4,1,1,2,4,6] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[6,4,2,1,4,1] => [1,4,1,2,4,6] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[6,4,2,4,1,1] => [1,1,4,2,4,6] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[6,4,4,1,1,2] => [2,1,1,4,4,6] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[6,4,4,1,2,1] => [1,2,1,4,4,6] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[6,4,4,2,1,1] => [1,1,2,4,4,6] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,2,4,5,5] => [5,5,4,2,1,1] => [{5,6},{4},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,2,5,4,5] => [5,4,5,2,1,1] => [{5,6},{4},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,2,5,5,4] => [4,5,5,2,1,1] => [{5,6},{4},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,4,2,5,5] => [5,5,2,4,1,1] => [{5,6},{3},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,4,5,2,5] => [5,2,5,4,1,1] => [{5,6},{2},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,4,5,5,2] => [2,5,5,4,1,1] => [{5,6},{1},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,5,2,4,5] => [5,4,2,5,1,1] => [{5,6},{3},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,2,5,4] => [4,5,2,5,1,1] => [{5,6},{3},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,4,2,5] => [5,2,4,5,1,1] => [{5,6},{2},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,4,5,2] => [2,5,4,5,1,1] => [{5,6},{1},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,5,2,4] => [4,2,5,5,1,1] => [{5,6},{2},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,1,5,5,4,2] => [2,4,5,5,1,1] => [{5,6},{1},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,2,1,4,5,5] => [5,5,4,1,2,1] => [{4,6},{5},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,2,1,5,4,5] => [5,4,5,1,2,1] => [{4,6},{5},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,2,1,5,5,4] => [4,5,5,1,2,1] => [{4,6},{5},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,2,4,1,5,5] => [5,5,1,4,2,1] => [{3,6},{5},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,2,4,5,1,5] => [5,1,5,4,2,1] => [{2,6},{5},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,2,4,5,5,1] => [1,5,5,4,2,1] => [{1,6},{5},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,2,5,1,4,5] => [5,4,1,5,2,1] => [{3,6},{5},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,2,5,1,5,4] => [4,5,1,5,2,1] => [{3,6},{5},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,2,5,4,1,5] => [5,1,4,5,2,1] => [{2,6},{5},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,2,5,4,5,1] => [1,5,4,5,2,1] => [{1,6},{5},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,2,5,5,1,4] => [4,1,5,5,2,1] => [{2,6},{5},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,2,5,5,4,1] => [1,4,5,5,2,1] => [{1,6},{5},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,4,1,2,5,5] => [5,5,2,1,4,1] => [{4,6},{3},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,4,1,5,2,5] => [5,2,5,1,4,1] => [{4,6},{2},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,4,1,5,5,2] => [2,5,5,1,4,1] => [{4,6},{1},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,4,2,1,5,5] => [5,5,1,2,4,1] => [{3,6},{4},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,4,2,5,1,5] => [5,1,5,2,4,1] => [{2,6},{4},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,4,2,5,5,1] => [1,5,5,2,4,1] => [{1,6},{4},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,4,5,1,2,5] => [5,2,1,5,4,1] => [{3,6},{2},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,4,5,1,5,2] => [2,5,1,5,4,1] => [{3,6},{1},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,4,5,2,1,5] => [5,1,2,5,4,1] => [{2,6},{3},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,4,5,2,5,1] => [1,5,2,5,4,1] => [{1,6},{3},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,4,5,5,1,2] => [2,1,5,5,4,1] => [{2,6},{1},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,4,5,5,2,1] => [1,2,5,5,4,1] => [{1,6},{2},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,5,1,2,4,5] => [5,4,2,1,5,1] => [{4,6},{3},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,2,5,4] => [4,5,2,1,5,1] => [{4,6},{3},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,4,2,5] => [5,2,4,1,5,1] => [{4,6},{2},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,4,5,2] => [2,5,4,1,5,1] => [{4,6},{1},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,5,2,4] => [4,2,5,1,5,1] => [{4,6},{2},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,1,5,4,2] => [2,4,5,1,5,1] => [{4,6},{1},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,2,1,4,5] => [5,4,1,2,5,1] => [{3,6},{4},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,2,1,5,4] => [4,5,1,2,5,1] => [{3,6},{4},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,2,4,1,5] => [5,1,4,2,5,1] => [{2,6},{4},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,2,4,5,1] => [1,5,4,2,5,1] => [{1,6},{4},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,2,5,1,4] => [4,1,5,2,5,1] => [{2,6},{4},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,2,5,4,1] => [1,4,5,2,5,1] => [{1,6},{4},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,4,1,2,5] => [5,2,1,4,5,1] => [{3,6},{2},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,4,1,5,2] => [2,5,1,4,5,1] => [{3,6},{1},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,4,2,1,5] => [5,1,2,4,5,1] => [{2,6},{3},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,4,2,5,1] => [1,5,2,4,5,1] => [{1,6},{3},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,4,5,1,2] => [2,1,5,4,5,1] => [{2,6},{1},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,4,5,2,1] => [1,2,5,4,5,1] => [{1,6},{2},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,5,1,2,4] => [4,2,1,5,5,1] => [{3,6},{2},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,1,4,2] => [2,4,1,5,5,1] => [{3,6},{1},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,2,1,4] => [4,1,2,5,5,1] => [{2,6},{3},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,2,4,1] => [1,4,2,5,5,1] => [{1,6},{3},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[1,5,5,4,1,2] => [2,1,4,5,5,1] => [{2,6},{1},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,4,2,1] => [1,2,4,5,5,1] => [{1,6},{2},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,1,1,4,5,5] => [5,5,4,1,1,2] => [{4,5},{6},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[2,1,1,5,4,5] => [5,4,5,1,1,2] => [{4,5},{6},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[2,1,1,5,5,4] => [4,5,5,1,1,2] => [{4,5},{6},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[2,1,4,1,5,5] => [5,5,1,4,1,2] => [{3,5},{6},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[2,1,4,5,1,5] => [5,1,5,4,1,2] => [{2,5},{6},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[2,1,4,5,5,1] => [1,5,5,4,1,2] => [{1,5},{6},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[2,1,5,1,4,5] => [5,4,1,5,1,2] => [{3,5},{6},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[2,1,5,1,5,4] => [4,5,1,5,1,2] => [{3,5},{6},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[2,1,5,4,1,5] => [5,1,4,5,1,2] => [{2,5},{6},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[2,1,5,4,5,1] => [1,5,4,5,1,2] => [{1,5},{6},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[2,1,5,5,1,4] => [4,1,5,5,1,2] => [{2,5},{6},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[2,1,5,5,4,1] => [1,4,5,5,1,2] => [{1,5},{6},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[2,4,1,1,5,5] => [5,5,1,1,4,2] => [{3,4},{6},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[2,4,1,5,1,5] => [5,1,5,1,4,2] => [{2,4},{6},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[2,4,1,5,5,1] => [1,5,5,1,4,2] => [{1,4},{6},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[2,4,5,1,1,5] => [5,1,1,5,4,2] => [{2,3},{6},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[2,4,5,1,5,1] => [1,5,1,5,4,2] => [{1,3},{6},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[2,4,5,5,1,1] => [1,1,5,5,4,2] => [{1,2},{6},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[2,5,1,1,4,5] => [5,4,1,1,5,2] => [{3,4},{6},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[2,5,1,1,5,4] => [4,5,1,1,5,2] => [{3,4},{6},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[2,5,1,4,1,5] => [5,1,4,1,5,2] => [{2,4},{6},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[2,5,1,4,5,1] => [1,5,4,1,5,2] => [{1,4},{6},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[2,5,1,5,1,4] => [4,1,5,1,5,2] => [{2,4},{6},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[2,5,1,5,4,1] => [1,4,5,1,5,2] => [{1,4},{6},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[2,5,4,1,1,5] => [5,1,1,4,5,2] => [{2,3},{6},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[2,5,4,1,5,1] => [1,5,1,4,5,2] => [{1,3},{6},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[2,5,4,5,1,1] => [1,1,5,4,5,2] => [{1,2},{6},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[2,5,5,1,1,4] => [4,1,1,5,5,2] => [{2,3},{6},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[2,5,5,1,4,1] => [1,4,1,5,5,2] => [{1,3},{6},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[2,5,5,4,1,1] => [1,1,4,5,5,2] => [{1,2},{6},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[4,1,1,2,5,5] => [5,5,2,1,1,4] => [{4,5},{3},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[4,1,1,5,2,5] => [5,2,5,1,1,4] => [{4,5},{2},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[4,1,1,5,5,2] => [2,5,5,1,1,4] => [{4,5},{1},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[4,1,2,1,5,5] => [5,5,1,2,1,4] => [{3,5},{4},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[4,1,2,5,1,5] => [5,1,5,2,1,4] => [{2,5},{4},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[4,1,2,5,5,1] => [1,5,5,2,1,4] => [{1,5},{4},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[4,1,5,1,2,5] => [5,2,1,5,1,4] => [{3,5},{2},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[4,1,5,1,5,2] => [2,5,1,5,1,4] => [{3,5},{1},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[4,1,5,2,1,5] => [5,1,2,5,1,4] => [{2,5},{3},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[4,1,5,2,5,1] => [1,5,2,5,1,4] => [{1,5},{3},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[4,1,5,5,1,2] => [2,1,5,5,1,4] => [{2,5},{1},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[4,1,5,5,2,1] => [1,2,5,5,1,4] => [{1,5},{2},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[4,2,1,1,5,5] => [5,5,1,1,2,4] => [{3,4},{5},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[4,2,1,5,1,5] => [5,1,5,1,2,4] => [{2,4},{5},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[4,2,1,5,5,1] => [1,5,5,1,2,4] => [{1,4},{5},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[4,2,5,1,1,5] => [5,1,1,5,2,4] => [{2,3},{5},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[4,2,5,1,5,1] => [1,5,1,5,2,4] => [{1,3},{5},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[4,2,5,5,1,1] => [1,1,5,5,2,4] => [{1,2},{5},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[4,5,1,1,2,5] => [5,2,1,1,5,4] => [{3,4},{2},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[4,5,1,1,5,2] => [2,5,1,1,5,4] => [{3,4},{1},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[4,5,1,2,1,5] => [5,1,2,1,5,4] => [{2,4},{3},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[4,5,1,2,5,1] => [1,5,2,1,5,4] => [{1,4},{3},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[4,5,1,5,1,2] => [2,1,5,1,5,4] => [{2,4},{1},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[4,5,1,5,2,1] => [1,2,5,1,5,4] => [{1,4},{2},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[4,5,2,1,1,5] => [5,1,1,2,5,4] => [{2,3},{4},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[4,5,2,1,5,1] => [1,5,1,2,5,4] => [{1,3},{4},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[4,5,2,5,1,1] => [1,1,5,2,5,4] => [{1,2},{4},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[4,5,5,1,1,2] => [2,1,1,5,5,4] => [{2,3},{1},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[4,5,5,1,2,1] => [1,2,1,5,5,4] => [{1,3},{2},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[4,5,5,2,1,1] => [1,1,2,5,5,4] => [{1,2},{3},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[5,1,1,2,4,5] => [5,4,2,1,1,5] => [{4,5},{3},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,2,5,4] => [4,5,2,1,1,5] => [{4,5},{3},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,4,2,5] => [5,2,4,1,1,5] => [{4,5},{2},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,4,5,2] => [2,5,4,1,1,5] => [{4,5},{1},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,5,2,4] => [4,2,5,1,1,5] => [{4,5},{2},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,1,5,4,2] => [2,4,5,1,1,5] => [{4,5},{1},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,2,1,4,5] => [5,4,1,2,1,5] => [{3,5},{4},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,2,1,5,4] => [4,5,1,2,1,5] => [{3,5},{4},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,2,4,1,5] => [5,1,4,2,1,5] => [{2,5},{4},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,2,4,5,1] => [1,5,4,2,1,5] => [{1,5},{4},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,2,5,1,4] => [4,1,5,2,1,5] => [{2,5},{4},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,2,5,4,1] => [1,4,5,2,1,5] => [{1,5},{4},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,4,1,2,5] => [5,2,1,4,1,5] => [{3,5},{2},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,4,1,5,2] => [2,5,1,4,1,5] => [{3,5},{1},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,4,2,1,5] => [5,1,2,4,1,5] => [{2,5},{3},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,4,2,5,1] => [1,5,2,4,1,5] => [{1,5},{3},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,4,5,1,2] => [2,1,5,4,1,5] => [{2,5},{1},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,4,5,2,1] => [1,2,5,4,1,5] => [{1,5},{2},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,5,1,2,4] => [4,2,1,5,1,5] => [{3,5},{2},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,1,4,2] => [2,4,1,5,1,5] => [{3,5},{1},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,2,1,4] => [4,1,2,5,1,5] => [{2,5},{3},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,2,4,1] => [1,4,2,5,1,5] => [{1,5},{3},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,1,5,4,1,2] => [2,1,4,5,1,5] => [{2,5},{1},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,4,2,1] => [1,2,4,5,1,5] => [{1,5},{2},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,1,1,4,5] => [5,4,1,1,2,5] => [{3,4},{5},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,2,1,1,5,4] => [4,5,1,1,2,5] => [{3,4},{5},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,2,1,4,1,5] => [5,1,4,1,2,5] => [{2,4},{5},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,2,1,4,5,1] => [1,5,4,1,2,5] => [{1,4},{5},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,2,1,5,1,4] => [4,1,5,1,2,5] => [{2,4},{5},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,2,1,5,4,1] => [1,4,5,1,2,5] => [{1,4},{5},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,2,4,1,1,5] => [5,1,1,4,2,5] => [{2,3},{5},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,2,4,1,5,1] => [1,5,1,4,2,5] => [{1,3},{5},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,2,4,5,1,1] => [1,1,5,4,2,5] => [{1,2},{5},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,2,5,1,1,4] => [4,1,1,5,2,5] => [{2,3},{5},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,2,5,1,4,1] => [1,4,1,5,2,5] => [{1,3},{5},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,2,5,4,1,1] => [1,1,4,5,2,5] => [{1,2},{5},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,4,1,1,2,5] => [5,2,1,1,4,5] => [{3,4},{2},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,4,1,1,5,2] => [2,5,1,1,4,5] => [{3,4},{1},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,4,1,2,1,5] => [5,1,2,1,4,5] => [{2,4},{3},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,4,1,2,5,1] => [1,5,2,1,4,5] => [{1,4},{3},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,4,1,5,1,2] => [2,1,5,1,4,5] => [{2,4},{1},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,4,1,5,2,1] => [1,2,5,1,4,5] => [{1,4},{2},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,4,2,1,1,5] => [5,1,1,2,4,5] => [{2,3},{4},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,4,2,1,5,1] => [1,5,1,2,4,5] => [{1,3},{4},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,4,2,5,1,1] => [1,1,5,2,4,5] => [{1,2},{4},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,4,5,1,1,2] => [2,1,1,5,4,5] => [{2,3},{1},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,4,5,1,2,1] => [1,2,1,5,4,5] => [{1,3},{2},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,4,5,2,1,1] => [1,1,2,5,4,5] => [{1,2},{3},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,5,1,1,2,4] => [4,2,1,1,5,5] => [{3,4},{2},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,1,4,2] => [2,4,1,1,5,5] => [{3,4},{1},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,2,1,4] => [4,1,2,1,5,5] => [{2,4},{3},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,2,4,1] => [1,4,2,1,5,5] => [{1,4},{3},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,1,4,1,2] => [2,1,4,1,5,5] => [{2,4},{1},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,4,2,1] => [1,2,4,1,5,5] => [{1,4},{2},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,1,1,4] => [4,1,1,2,5,5] => [{2,3},{4},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,2,1,4,1] => [1,4,1,2,5,5] => [{1,3},{4},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,2,4,1,1] => [1,1,4,2,5,5] => [{1,2},{4},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,4,1,1,2] => [2,1,1,4,5,5] => [{2,3},{1},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,4,1,2,1] => [1,2,1,4,5,5] => [{1,3},{2},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,4,2,1,1] => [1,1,2,4,5,5] => [{1,2},{3},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[1,1,2,4,5,6] => [6,5,4,2,1,1] => [{5,6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,4,6,5] => [5,6,4,2,1,1] => [{5,6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,4,6] => [6,4,5,2,1,1] => [{5,6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,5,6,4] => [4,6,5,2,1,1] => [{5,6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,4,5] => [5,4,6,2,1,1] => [{5,6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,2,6,5,4] => [4,5,6,2,1,1] => [{5,6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,5,6] => [6,5,2,4,1,1] => [{5,6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,2,6,5] => [5,6,2,4,1,1] => [{5,6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,2,6] => [6,2,5,4,1,1] => [{5,6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,6,2] => [2,6,5,4,1,1] => [{5,6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,2,5] => [5,2,6,4,1,1] => [{5,6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,5,2] => [2,5,6,4,1,1] => [{5,6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,4,6] => [6,4,2,5,1,1] => [{5,6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,2,6,4] => [4,6,2,5,1,1] => [{5,6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,2,6] => [6,2,4,5,1,1] => [{5,6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,6,2] => [2,6,4,5,1,1] => [{5,6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,2,4] => [4,2,6,5,1,1] => [{5,6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,4,2] => [2,4,6,5,1,1] => [{5,6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,4,5] => [5,4,2,6,1,1] => [{5,6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,2,5,4] => [4,5,2,6,1,1] => [{5,6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,2,5] => [5,2,4,6,1,1] => [{5,6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,5,2] => [2,5,4,6,1,1] => [{5,6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,2,4] => [4,2,5,6,1,1] => [{5,6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,4,2] => [2,4,5,6,1,1] => [{5,6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,2,1,4,5,6] => [6,5,4,1,2,1] => [{4,6},{5},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,4,6,5] => [5,6,4,1,2,1] => [{4,6},{5},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,4,6] => [6,4,5,1,2,1] => [{4,6},{5},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,5,6,4] => [4,6,5,1,2,1] => [{4,6},{5},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,4,5] => [5,4,6,1,2,1] => [{4,6},{5},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,1,6,5,4] => [4,5,6,1,2,1] => [{4,6},{5},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,2,4,1,5,6] => [6,5,1,4,2,1] => [{3,6},{5},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,1,6,5] => [5,6,1,4,2,1] => [{3,6},{5},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,4,5,1,6] => [6,1,5,4,2,1] => [{2,6},{5},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,5,6,1] => [1,6,5,4,2,1] => [{1,6},{5},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,4,6,1,5] => [5,1,6,4,2,1] => [{2,6},{5},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,4,6,5,1] => [1,5,6,4,2,1] => [{1,6},{5},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,1,4,6] => [6,4,1,5,2,1] => [{3,6},{5},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,1,6,4] => [4,6,1,5,2,1] => [{3,6},{5},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,2,5,4,1,6] => [6,1,4,5,2,1] => [{2,6},{5},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,4,6,1] => [1,6,4,5,2,1] => [{1,6},{5},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,2,5,6,1,4] => [4,1,6,5,2,1] => [{2,6},{5},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,2,5,6,4,1] => [1,4,6,5,2,1] => [{1,6},{5},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,1,4,5] => [5,4,1,6,2,1] => [{3,6},{5},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,1,5,4] => [4,5,1,6,2,1] => [{3,6},{5},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,2,6,4,1,5] => [5,1,4,6,2,1] => [{2,6},{5},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,4,5,1] => [1,5,4,6,2,1] => [{1,6},{5},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,2,6,5,1,4] => [4,1,5,6,2,1] => [{2,6},{5},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,2,6,5,4,1] => [1,4,5,6,2,1] => [{1,6},{5},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,1,2,5,6] => [6,5,2,1,4,1] => [{4,6},{3},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,2,6,5] => [5,6,2,1,4,1] => [{4,6},{3},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,2,6] => [6,2,5,1,4,1] => [{4,6},{2},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,6,2] => [2,6,5,1,4,1] => [{4,6},{1},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,2,5] => [5,2,6,1,4,1] => [{4,6},{2},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,5,2] => [2,5,6,1,4,1] => [{4,6},{1},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,2,1,5,6] => [6,5,1,2,4,1] => [{3,6},{4},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,1,6,5] => [5,6,1,2,4,1] => [{3,6},{4},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,2,5,1,6] => [6,1,5,2,4,1] => [{2,6},{4},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,5,6,1] => [1,6,5,2,4,1] => [{1,6},{4},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,2,6,1,5] => [5,1,6,2,4,1] => [{2,6},{4},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,2,6,5,1] => [1,5,6,2,4,1] => [{1,6},{4},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,1,2,6] => [6,2,1,5,4,1] => [{3,6},{2},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,1,6,2] => [2,6,1,5,4,1] => [{3,6},{1},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,2,1,6] => [6,1,2,5,4,1] => [{2,6},{3},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,2,6,1] => [1,6,2,5,4,1] => [{1,6},{3},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,6,1,2] => [2,1,6,5,4,1] => [{2,6},{1},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,6,2,1] => [1,2,6,5,4,1] => [{1,6},{2},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,1,2,5] => [5,2,1,6,4,1] => [{3,6},{2},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,1,5,2] => [2,5,1,6,4,1] => [{3,6},{1},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,2,1,5] => [5,1,2,6,4,1] => [{2,6},{3},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,2,5,1] => [1,5,2,6,4,1] => [{1,6},{3},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,5,1,2] => [2,1,5,6,4,1] => [{2,6},{1},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,5,2,1] => [1,2,5,6,4,1] => [{1,6},{2},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,1,2,4,6] => [6,4,2,1,5,1] => [{4,6},{3},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,2,6,4] => [4,6,2,1,5,1] => [{4,6},{3},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,2,6] => [6,2,4,1,5,1] => [{4,6},{2},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,6,2] => [2,6,4,1,5,1] => [{4,6},{1},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,2,4] => [4,2,6,1,5,1] => [{4,6},{2},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,4,2] => [2,4,6,1,5,1] => [{4,6},{1},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,2,1,4,6] => [6,4,1,2,5,1] => [{3,6},{4},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,1,6,4] => [4,6,1,2,5,1] => [{3,6},{4},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,2,4,1,6] => [6,1,4,2,5,1] => [{2,6},{4},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,4,6,1] => [1,6,4,2,5,1] => [{1,6},{4},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,2,6,1,4] => [4,1,6,2,5,1] => [{2,6},{4},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,2,6,4,1] => [1,4,6,2,5,1] => [{1,6},{4},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,1,2,6] => [6,2,1,4,5,1] => [{3,6},{2},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,1,6,2] => [2,6,1,4,5,1] => [{3,6},{1},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,2,1,6] => [6,1,2,4,5,1] => [{2,6},{3},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,2,6,1] => [1,6,2,4,5,1] => [{1,6},{3},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,6,1,2] => [2,1,6,4,5,1] => [{2,6},{1},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,6,2,1] => [1,2,6,4,5,1] => [{1,6},{2},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,1,2,4] => [4,2,1,6,5,1] => [{3,6},{2},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,1,4,2] => [2,4,1,6,5,1] => [{3,6},{1},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,2,1,4] => [4,1,2,6,5,1] => [{2,6},{3},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,2,4,1] => [1,4,2,6,5,1] => [{1,6},{3},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,4,1,2] => [2,1,4,6,5,1] => [{2,6},{1},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,4,2,1] => [1,2,4,6,5,1] => [{1,6},{2},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,6,1,2,4,5] => [5,4,2,1,6,1] => [{4,6},{3},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,2,5,4] => [4,5,2,1,6,1] => [{4,6},{3},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,2,5] => [5,2,4,1,6,1] => [{4,6},{2},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,5,2] => [2,5,4,1,6,1] => [{4,6},{1},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,2,4] => [4,2,5,1,6,1] => [{4,6},{2},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,4,2] => [2,4,5,1,6,1] => [{4,6},{1},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,2,1,4,5] => [5,4,1,2,6,1] => [{3,6},{4},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,1,5,4] => [4,5,1,2,6,1] => [{3,6},{4},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,2,4,1,5] => [5,1,4,2,6,1] => [{2,6},{4},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,4,5,1] => [1,5,4,2,6,1] => [{1,6},{4},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,2,5,1,4] => [4,1,5,2,6,1] => [{2,6},{4},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,2,5,4,1] => [1,4,5,2,6,1] => [{1,6},{4},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,1,2,5] => [5,2,1,4,6,1] => [{3,6},{2},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,1,5,2] => [2,5,1,4,6,1] => [{3,6},{1},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,2,1,5] => [5,1,2,4,6,1] => [{2,6},{3},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,2,5,1] => [1,5,2,4,6,1] => [{1,6},{3},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,5,1,2] => [2,1,5,4,6,1] => [{2,6},{1},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,5,2,1] => [1,2,5,4,6,1] => [{1,6},{2},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,1,2,4] => [4,2,1,5,6,1] => [{3,6},{2},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,1,4,2] => [2,4,1,5,6,1] => [{3,6},{1},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,2,1,4] => [4,1,2,5,6,1] => [{2,6},{3},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,2,4,1] => [1,4,2,5,6,1] => [{1,6},{3},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,4,1,2] => [2,1,4,5,6,1] => [{2,6},{1},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,4,2,1] => [1,2,4,5,6,1] => [{1,6},{2},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,1,1,4,5,6] => [6,5,4,1,1,2] => [{4,5},{6},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,4,6,5] => [5,6,4,1,1,2] => [{4,5},{6},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,4,6] => [6,4,5,1,1,2] => [{4,5},{6},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,5,6,4] => [4,6,5,1,1,2] => [{4,5},{6},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,4,5] => [5,4,6,1,1,2] => [{4,5},{6},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,1,6,5,4] => [4,5,6,1,1,2] => [{4,5},{6},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,1,4,1,5,6] => [6,5,1,4,1,2] => [{3,5},{6},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,1,6,5] => [5,6,1,4,1,2] => [{3,5},{6},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,4,5,1,6] => [6,1,5,4,1,2] => [{2,5},{6},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,5,6,1] => [1,6,5,4,1,2] => [{1,5},{6},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,4,6,1,5] => [5,1,6,4,1,2] => [{2,5},{6},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,4,6,5,1] => [1,5,6,4,1,2] => [{1,5},{6},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,1,4,6] => [6,4,1,5,1,2] => [{3,5},{6},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,1,6,4] => [4,6,1,5,1,2] => [{3,5},{6},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,1,5,4,1,6] => [6,1,4,5,1,2] => [{2,5},{6},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,4,6,1] => [1,6,4,5,1,2] => [{1,5},{6},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,1,5,6,1,4] => [4,1,6,5,1,2] => [{2,5},{6},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,1,5,6,4,1] => [1,4,6,5,1,2] => [{1,5},{6},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,1,4,5] => [5,4,1,6,1,2] => [{3,5},{6},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,1,5,4] => [4,5,1,6,1,2] => [{3,5},{6},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,1,6,4,1,5] => [5,1,4,6,1,2] => [{2,5},{6},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,4,5,1] => [1,5,4,6,1,2] => [{1,5},{6},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,1,6,5,1,4] => [4,1,5,6,1,2] => [{2,5},{6},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,1,6,5,4,1] => [1,4,5,6,1,2] => [{1,5},{6},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,4,1,1,5,6] => [6,5,1,1,4,2] => [{3,4},{6},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,1,6,5] => [5,6,1,1,4,2] => [{3,4},{6},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,5,1,6] => [6,1,5,1,4,2] => [{2,4},{6},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,5,6,1] => [1,6,5,1,4,2] => [{1,4},{6},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,4,1,6,1,5] => [5,1,6,1,4,2] => [{2,4},{6},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,4,1,6,5,1] => [1,5,6,1,4,2] => [{1,4},{6},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,4,5,1,1,6] => [6,1,1,5,4,2] => [{2,3},{6},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,4,5,1,6,1] => [1,6,1,5,4,2] => [{1,3},{6},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,4,5,6,1,1] => [1,1,6,5,4,2] => [{1,2},{6},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,4,6,1,1,5] => [5,1,1,6,4,2] => [{2,3},{6},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,4,6,1,5,1] => [1,5,1,6,4,2] => [{1,3},{6},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,4,6,5,1,1] => [1,1,5,6,4,2] => [{1,2},{6},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,5,1,1,4,6] => [6,4,1,1,5,2] => [{3,4},{6},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,1,6,4] => [4,6,1,1,5,2] => [{3,4},{6},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,4,1,6] => [6,1,4,1,5,2] => [{2,4},{6},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,4,6,1] => [1,6,4,1,5,2] => [{1,4},{6},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,5,1,6,1,4] => [4,1,6,1,5,2] => [{2,4},{6},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,5,1,6,4,1] => [1,4,6,1,5,2] => [{1,4},{6},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,5,4,1,1,6] => [6,1,1,4,5,2] => [{2,3},{6},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,5,4,1,6,1] => [1,6,1,4,5,2] => [{1,3},{6},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,5,4,6,1,1] => [1,1,6,4,5,2] => [{1,2},{6},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,5,6,1,1,4] => [4,1,1,6,5,2] => [{2,3},{6},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,5,6,1,4,1] => [1,4,1,6,5,2] => [{1,3},{6},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,5,6,4,1,1] => [1,1,4,6,5,2] => [{1,2},{6},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,6,1,1,4,5] => [5,4,1,1,6,2] => [{3,4},{6},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,1,5,4] => [4,5,1,1,6,2] => [{3,4},{6},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,1,4,1,5] => [5,1,4,1,6,2] => [{2,4},{6},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,4,5,1] => [1,5,4,1,6,2] => [{1,4},{6},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,1,5,1,4] => [4,1,5,1,6,2] => [{2,4},{6},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,1,5,4,1] => [1,4,5,1,6,2] => [{1,4},{6},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,4,1,1,5] => [5,1,1,4,6,2] => [{2,3},{6},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,4,1,5,1] => [1,5,1,4,6,2] => [{1,3},{6},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,4,5,1,1] => [1,1,5,4,6,2] => [{1,2},{6},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,5,1,1,4] => [4,1,1,5,6,2] => [{2,3},{6},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,5,1,4,1] => [1,4,1,5,6,2] => [{1,3},{6},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,5,4,1,1] => [1,1,4,5,6,2] => [{1,2},{6},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[4,1,1,2,5,6] => [6,5,2,1,1,4] => [{4,5},{3},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,2,6,5] => [5,6,2,1,1,4] => [{4,5},{3},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,2,6] => [6,2,5,1,1,4] => [{4,5},{2},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,6,2] => [2,6,5,1,1,4] => [{4,5},{1},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,2,5] => [5,2,6,1,1,4] => [{4,5},{2},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,5,2] => [2,5,6,1,1,4] => [{4,5},{1},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,2,1,5,6] => [6,5,1,2,1,4] => [{3,5},{4},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,1,6,5] => [5,6,1,2,1,4] => [{3,5},{4},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,2,5,1,6] => [6,1,5,2,1,4] => [{2,5},{4},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,5,6,1] => [1,6,5,2,1,4] => [{1,5},{4},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,2,6,1,5] => [5,1,6,2,1,4] => [{2,5},{4},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,2,6,5,1] => [1,5,6,2,1,4] => [{1,5},{4},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,1,2,6] => [6,2,1,5,1,4] => [{3,5},{2},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,1,6,2] => [2,6,1,5,1,4] => [{3,5},{1},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,2,1,6] => [6,1,2,5,1,4] => [{2,5},{3},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,2,6,1] => [1,6,2,5,1,4] => [{1,5},{3},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,6,1,2] => [2,1,6,5,1,4] => [{2,5},{1},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,6,2,1] => [1,2,6,5,1,4] => [{1,5},{2},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,1,2,5] => [5,2,1,6,1,4] => [{3,5},{2},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,1,5,2] => [2,5,1,6,1,4] => [{3,5},{1},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,2,1,5] => [5,1,2,6,1,4] => [{2,5},{3},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,2,5,1] => [1,5,2,6,1,4] => [{1,5},{3},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,5,1,2] => [2,1,5,6,1,4] => [{2,5},{1},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,5,2,1] => [1,2,5,6,1,4] => [{1,5},{2},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,1,5,6] => [6,5,1,1,2,4] => [{3,4},{5},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,1,6,5] => [5,6,1,1,2,4] => [{3,4},{5},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,5,1,6] => [6,1,5,1,2,4] => [{2,4},{5},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,5,6,1] => [1,6,5,1,2,4] => [{1,4},{5},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[4,2,1,6,1,5] => [5,1,6,1,2,4] => [{2,4},{5},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[4,2,1,6,5,1] => [1,5,6,1,2,4] => [{1,4},{5},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[4,2,5,1,1,6] => [6,1,1,5,2,4] => [{2,3},{5},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[4,2,5,1,6,1] => [1,6,1,5,2,4] => [{1,3},{5},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[4,2,5,6,1,1] => [1,1,6,5,2,4] => [{1,2},{5},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[4,2,6,1,1,5] => [5,1,1,6,2,4] => [{2,3},{5},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[4,2,6,1,5,1] => [1,5,1,6,2,4] => [{1,3},{5},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[4,2,6,5,1,1] => [1,1,5,6,2,4] => [{1,2},{5},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[4,5,1,1,2,6] => [6,2,1,1,5,4] => [{3,4},{2},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,1,6,2] => [2,6,1,1,5,4] => [{3,4},{1},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,2,1,6] => [6,1,2,1,5,4] => [{2,4},{3},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,2,6,1] => [1,6,2,1,5,4] => [{1,4},{3},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[4,5,1,6,1,2] => [2,1,6,1,5,4] => [{2,4},{1},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,6,2,1] => [1,2,6,1,5,4] => [{1,4},{2},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,1,1,6] => [6,1,1,2,5,4] => [{2,3},{4},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[4,5,2,1,6,1] => [1,6,1,2,5,4] => [{1,3},{4},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[4,5,2,6,1,1] => [1,1,6,2,5,4] => [{1,2},{4},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[4,5,6,1,1,2] => [2,1,1,6,5,4] => [{2,3},{1},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[4,5,6,1,2,1] => [1,2,1,6,5,4] => [{1,3},{2},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[4,5,6,2,1,1] => [1,1,2,6,5,4] => [{1,2},{3},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[4,6,1,1,2,5] => [5,2,1,1,6,4] => [{3,4},{2},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,1,5,2] => [2,5,1,1,6,4] => [{3,4},{1},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,2,1,5] => [5,1,2,1,6,4] => [{2,4},{3},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,2,5,1] => [1,5,2,1,6,4] => [{1,4},{3},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,1,5,1,2] => [2,1,5,1,6,4] => [{2,4},{1},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,5,2,1] => [1,2,5,1,6,4] => [{1,4},{2},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,1,1,5] => [5,1,1,2,6,4] => [{2,3},{4},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,2,1,5,1] => [1,5,1,2,6,4] => [{1,3},{4},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,2,5,1,1] => [1,1,5,2,6,4] => [{1,2},{4},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,5,1,1,2] => [2,1,1,5,6,4] => [{2,3},{1},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,5,1,2,1] => [1,2,1,5,6,4] => [{1,3},{2},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,5,2,1,1] => [1,1,2,5,6,4] => [{1,2},{3},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[5,1,1,2,4,6] => [6,4,2,1,1,5] => [{4,5},{3},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,2,6,4] => [4,6,2,1,1,5] => [{4,5},{3},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,2,6] => [6,2,4,1,1,5] => [{4,5},{2},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,6,2] => [2,6,4,1,1,5] => [{4,5},{1},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,2,4] => [4,2,6,1,1,5] => [{4,5},{2},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,4,2] => [2,4,6,1,1,5] => [{4,5},{1},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,2,1,4,6] => [6,4,1,2,1,5] => [{3,5},{4},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,1,6,4] => [4,6,1,2,1,5] => [{3,5},{4},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,2,4,1,6] => [6,1,4,2,1,5] => [{2,5},{4},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,4,6,1] => [1,6,4,2,1,5] => [{1,5},{4},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,2,6,1,4] => [4,1,6,2,1,5] => [{2,5},{4},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,2,6,4,1] => [1,4,6,2,1,5] => [{1,5},{4},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,1,2,6] => [6,2,1,4,1,5] => [{3,5},{2},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,1,6,2] => [2,6,1,4,1,5] => [{3,5},{1},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,2,1,6] => [6,1,2,4,1,5] => [{2,5},{3},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,2,6,1] => [1,6,2,4,1,5] => [{1,5},{3},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,6,1,2] => [2,1,6,4,1,5] => [{2,5},{1},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,6,2,1] => [1,2,6,4,1,5] => [{1,5},{2},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,1,2,4] => [4,2,1,6,1,5] => [{3,5},{2},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,1,4,2] => [2,4,1,6,1,5] => [{3,5},{1},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,2,1,4] => [4,1,2,6,1,5] => [{2,5},{3},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,2,4,1] => [1,4,2,6,1,5] => [{1,5},{3},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,4,1,2] => [2,1,4,6,1,5] => [{2,5},{1},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,4,2,1] => [1,2,4,6,1,5] => [{1,5},{2},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,1,4,6] => [6,4,1,1,2,5] => [{3,4},{5},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,1,6,4] => [4,6,1,1,2,5] => [{3,4},{5},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,4,1,6] => [6,1,4,1,2,5] => [{2,4},{5},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,4,6,1] => [1,6,4,1,2,5] => [{1,4},{5},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,2,1,6,1,4] => [4,1,6,1,2,5] => [{2,4},{5},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,2,1,6,4,1] => [1,4,6,1,2,5] => [{1,4},{5},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,2,4,1,1,6] => [6,1,1,4,2,5] => [{2,3},{5},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,2,4,1,6,1] => [1,6,1,4,2,5] => [{1,3},{5},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,2,4,6,1,1] => [1,1,6,4,2,5] => [{1,2},{5},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,2,6,1,1,4] => [4,1,1,6,2,5] => [{2,3},{5},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,2,6,1,4,1] => [1,4,1,6,2,5] => [{1,3},{5},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,2,6,4,1,1] => [1,1,4,6,2,5] => [{1,2},{5},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,4,1,1,2,6] => [6,2,1,1,4,5] => [{3,4},{2},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,1,6,2] => [2,6,1,1,4,5] => [{3,4},{1},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,2,1,6] => [6,1,2,1,4,5] => [{2,4},{3},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,2,6,1] => [1,6,2,1,4,5] => [{1,4},{3},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,4,1,6,1,2] => [2,1,6,1,4,5] => [{2,4},{1},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,6,2,1] => [1,2,6,1,4,5] => [{1,4},{2},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,1,1,6] => [6,1,1,2,4,5] => [{2,3},{4},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,4,2,1,6,1] => [1,6,1,2,4,5] => [{1,3},{4},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,4,2,6,1,1] => [1,1,6,2,4,5] => [{1,2},{4},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,4,6,1,1,2] => [2,1,1,6,4,5] => [{2,3},{1},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,4,6,1,2,1] => [1,2,1,6,4,5] => [{1,3},{2},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,4,6,2,1,1] => [1,1,2,6,4,5] => [{1,2},{3},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,6,1,1,2,4] => [4,2,1,1,6,5] => [{3,4},{2},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,1,4,2] => [2,4,1,1,6,5] => [{3,4},{1},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,2,1,4] => [4,1,2,1,6,5] => [{2,4},{3},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,2,4,1] => [1,4,2,1,6,5] => [{1,4},{3},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,1,4,1,2] => [2,1,4,1,6,5] => [{2,4},{1},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,4,2,1] => [1,2,4,1,6,5] => [{1,4},{2},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,1,1,4] => [4,1,1,2,6,5] => [{2,3},{4},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,2,1,4,1] => [1,4,1,2,6,5] => [{1,3},{4},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,2,4,1,1] => [1,1,4,2,6,5] => [{1,2},{4},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,4,1,1,2] => [2,1,1,4,6,5] => [{2,3},{1},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,4,1,2,1] => [1,2,1,4,6,5] => [{1,3},{2},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,4,2,1,1] => [1,1,2,4,6,5] => [{1,2},{3},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[6,1,1,2,4,5] => [5,4,2,1,1,6] => [{4,5},{3},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,2,5,4] => [4,5,2,1,1,6] => [{4,5},{3},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,2,5] => [5,2,4,1,1,6] => [{4,5},{2},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,5,2] => [2,5,4,1,1,6] => [{4,5},{1},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,2,4] => [4,2,5,1,1,6] => [{4,5},{2},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,4,2] => [2,4,5,1,1,6] => [{4,5},{1},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,2,1,4,5] => [5,4,1,2,1,6] => [{3,5},{4},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,1,5,4] => [4,5,1,2,1,6] => [{3,5},{4},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,2,4,1,5] => [5,1,4,2,1,6] => [{2,5},{4},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,4,5,1] => [1,5,4,2,1,6] => [{1,5},{4},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,2,5,1,4] => [4,1,5,2,1,6] => [{2,5},{4},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,2,5,4,1] => [1,4,5,2,1,6] => [{1,5},{4},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,1,2,5] => [5,2,1,4,1,6] => [{3,5},{2},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,1,5,2] => [2,5,1,4,1,6] => [{3,5},{1},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,2,1,5] => [5,1,2,4,1,6] => [{2,5},{3},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,2,5,1] => [1,5,2,4,1,6] => [{1,5},{3},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,5,1,2] => [2,1,5,4,1,6] => [{2,5},{1},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,5,2,1] => [1,2,5,4,1,6] => [{1,5},{2},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,1,2,4] => [4,2,1,5,1,6] => [{3,5},{2},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,1,4,2] => [2,4,1,5,1,6] => [{3,5},{1},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,2,1,4] => [4,1,2,5,1,6] => [{2,5},{3},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,2,4,1] => [1,4,2,5,1,6] => [{1,5},{3},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,4,1,2] => [2,1,4,5,1,6] => [{2,5},{1},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,4,2,1] => [1,2,4,5,1,6] => [{1,5},{2},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,1,4,5] => [5,4,1,1,2,6] => [{3,4},{5},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,1,5,4] => [4,5,1,1,2,6] => [{3,4},{5},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,4,1,5] => [5,1,4,1,2,6] => [{2,4},{5},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,4,5,1] => [1,5,4,1,2,6] => [{1,4},{5},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,1,5,1,4] => [4,1,5,1,2,6] => [{2,4},{5},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,1,5,4,1] => [1,4,5,1,2,6] => [{1,4},{5},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,4,1,1,5] => [5,1,1,4,2,6] => [{2,3},{5},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,4,1,5,1] => [1,5,1,4,2,6] => [{1,3},{5},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,4,5,1,1] => [1,1,5,4,2,6] => [{1,2},{5},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,5,1,1,4] => [4,1,1,5,2,6] => [{2,3},{5},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,5,1,4,1] => [1,4,1,5,2,6] => [{1,3},{5},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,5,4,1,1] => [1,1,4,5,2,6] => [{1,2},{5},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,1,1,2,5] => [5,2,1,1,4,6] => [{3,4},{2},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,1,5,2] => [2,5,1,1,4,6] => [{3,4},{1},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,2,1,5] => [5,1,2,1,4,6] => [{2,4},{3},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,2,5,1] => [1,5,2,1,4,6] => [{1,4},{3},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,1,5,1,2] => [2,1,5,1,4,6] => [{2,4},{1},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,5,2,1] => [1,2,5,1,4,6] => [{1,4},{2},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,1,1,5] => [5,1,1,2,4,6] => [{2,3},{4},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,2,1,5,1] => [1,5,1,2,4,6] => [{1,3},{4},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,2,5,1,1] => [1,1,5,2,4,6] => [{1,2},{4},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,5,1,1,2] => [2,1,1,5,4,6] => [{2,3},{1},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,5,1,2,1] => [1,2,1,5,4,6] => [{1,3},{2},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,5,2,1,1] => [1,1,2,5,4,6] => [{1,2},{3},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,1,1,2,4] => [4,2,1,1,5,6] => [{3,4},{2},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,1,4,2] => [2,4,1,1,5,6] => [{3,4},{1},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,2,1,4] => [4,1,2,1,5,6] => [{2,4},{3},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,2,4,1] => [1,4,2,1,5,6] => [{1,4},{3},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,1,4,1,2] => [2,1,4,1,5,6] => [{2,4},{1},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,4,2,1] => [1,2,4,1,5,6] => [{1,4},{2},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,1,1,4] => [4,1,1,2,5,6] => [{2,3},{4},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,2,1,4,1] => [1,4,1,2,5,6] => [{1,3},{4},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,2,4,1,1] => [1,1,4,2,5,6] => [{1,2},{4},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,4,1,1,2] => [2,1,1,4,5,6] => [{2,3},{1},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,4,1,2,1] => [1,2,1,4,5,6] => [{1,3},{2},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,4,2,1,1] => [1,1,2,4,5,6] => [{1,2},{3},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[1,1,3,3,3,3] => [3,3,3,3,1,1] => [{5,6},{1,2,3,4}] => {{1,2,3,4},{5,6}}
[1,3,1,3,3,3] => [3,3,3,1,3,1] => [{4,6},{1,2,3,5}] => {{1,2,3,5},{4,6}}
[1,3,3,1,3,3] => [3,3,1,3,3,1] => [{3,6},{1,2,4,5}] => {{1,2,4,5},{3,6}}
[1,3,3,3,1,3] => [3,1,3,3,3,1] => [{2,6},{1,3,4,5}] => {{1,3,4,5},{2,6}}
[1,3,3,3,3,1] => [1,3,3,3,3,1] => [{1,6},{2,3,4,5}] => {{1,6},{2,3,4,5}}
[3,1,1,3,3,3] => [3,3,3,1,1,3] => [{4,5},{1,2,3,6}] => {{1,2,3,6},{4,5}}
[3,1,3,1,3,3] => [3,3,1,3,1,3] => [{3,5},{1,2,4,6}] => {{1,2,4,6},{3,5}}
[3,1,3,3,1,3] => [3,1,3,3,1,3] => [{2,5},{1,3,4,6}] => {{1,3,4,6},{2,5}}
[3,1,3,3,3,1] => [1,3,3,3,1,3] => [{1,5},{2,3,4,6}] => {{1,5},{2,3,4,6}}
[3,3,1,1,3,3] => [3,3,1,1,3,3] => [{3,4},{1,2,5,6}] => {{1,2,5,6},{3,4}}
[3,3,1,3,1,3] => [3,1,3,1,3,3] => [{2,4},{1,3,5,6}] => {{1,3,5,6},{2,4}}
[3,3,1,3,3,1] => [1,3,3,1,3,3] => [{1,4},{2,3,5,6}] => {{1,4},{2,3,5,6}}
[3,3,3,1,1,3] => [3,1,1,3,3,3] => [{2,3},{1,4,5,6}] => {{1,4,5,6},{2,3}}
[3,3,3,1,3,1] => [1,3,1,3,3,3] => [{1,3},{2,4,5,6}] => {{1,3},{2,4,5,6}}
[3,3,3,3,1,1] => [1,1,3,3,3,3] => [{1,2},{3,4,5,6}] => {{1,2},{3,4,5,6}}
[1,1,3,3,3,4] => [4,3,3,3,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,3,3,4,3] => [3,4,3,3,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,3,4,3,3] => [3,3,4,3,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,4,3,3,3] => [3,3,3,4,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,3,1,3,3,4] => [4,3,3,1,3,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,3,1,3,4,3] => [3,4,3,1,3,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,3,1,4,3,3] => [3,3,4,1,3,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,3,3,1,3,4] => [4,3,1,3,3,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,3,3,1,4,3] => [3,4,1,3,3,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,3,3,3,1,4] => [4,1,3,3,3,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,3,3,3,4,1] => [1,4,3,3,3,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,3,3,4,1,3] => [3,1,4,3,3,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,3,3,4,3,1] => [1,3,4,3,3,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,3,4,1,3,3] => [3,3,1,4,3,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,3,4,3,1,3] => [3,1,3,4,3,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,3,4,3,3,1] => [1,3,3,4,3,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,4,1,3,3,3] => [3,3,3,1,4,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,4,3,1,3,3] => [3,3,1,3,4,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,4,3,3,1,3] => [3,1,3,3,4,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,4,3,3,3,1] => [1,3,3,3,4,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[3,1,1,3,3,4] => [4,3,3,1,1,3] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[3,1,1,3,4,3] => [3,4,3,1,1,3] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[3,1,1,4,3,3] => [3,3,4,1,1,3] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[3,1,3,1,3,4] => [4,3,1,3,1,3] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[3,1,3,1,4,3] => [3,4,1,3,1,3] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[3,1,3,3,1,4] => [4,1,3,3,1,3] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[3,1,3,3,4,1] => [1,4,3,3,1,3] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[3,1,3,4,1,3] => [3,1,4,3,1,3] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[3,1,3,4,3,1] => [1,3,4,3,1,3] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[3,1,4,1,3,3] => [3,3,1,4,1,3] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[3,1,4,3,1,3] => [3,1,3,4,1,3] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[3,1,4,3,3,1] => [1,3,3,4,1,3] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[3,3,1,1,3,4] => [4,3,1,1,3,3] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[3,3,1,1,4,3] => [3,4,1,1,3,3] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[3,3,1,3,1,4] => [4,1,3,1,3,3] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[3,3,1,3,4,1] => [1,4,3,1,3,3] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[3,3,1,4,1,3] => [3,1,4,1,3,3] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[3,3,1,4,3,1] => [1,3,4,1,3,3] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[3,3,3,1,1,4] => [4,1,1,3,3,3] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[3,3,3,1,4,1] => [1,4,1,3,3,3] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[3,3,3,4,1,1] => [1,1,4,3,3,3] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[3,3,4,1,1,3] => [3,1,1,4,3,3] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[3,3,4,1,3,1] => [1,3,1,4,3,3] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[3,3,4,3,1,1] => [1,1,3,4,3,3] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[3,4,1,1,3,3] => [3,3,1,1,4,3] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[3,4,1,3,1,3] => [3,1,3,1,4,3] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[3,4,1,3,3,1] => [1,3,3,1,4,3] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[3,4,3,1,1,3] => [3,1,1,3,4,3] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[3,4,3,1,3,1] => [1,3,1,3,4,3] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[3,4,3,3,1,1] => [1,1,3,3,4,3] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[4,1,1,3,3,3] => [3,3,3,1,1,4] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[4,1,3,1,3,3] => [3,3,1,3,1,4] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[4,1,3,3,1,3] => [3,1,3,3,1,4] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[4,1,3,3,3,1] => [1,3,3,3,1,4] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[4,3,1,1,3,3] => [3,3,1,1,3,4] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[4,3,1,3,1,3] => [3,1,3,1,3,4] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[4,3,1,3,3,1] => [1,3,3,1,3,4] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[4,3,3,1,1,3] => [3,1,1,3,3,4] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[4,3,3,1,3,1] => [1,3,1,3,3,4] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[4,3,3,3,1,1] => [1,1,3,3,3,4] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,3,3,3,5] => [5,3,3,3,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,3,3,5,3] => [3,5,3,3,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,3,5,3,3] => [3,3,5,3,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,5,3,3,3] => [3,3,3,5,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,3,1,3,3,5] => [5,3,3,1,3,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,3,1,3,5,3] => [3,5,3,1,3,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,3,1,5,3,3] => [3,3,5,1,3,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,3,3,1,3,5] => [5,3,1,3,3,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,3,3,1,5,3] => [3,5,1,3,3,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,3,3,3,1,5] => [5,1,3,3,3,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,3,3,3,5,1] => [1,5,3,3,3,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,3,3,5,1,3] => [3,1,5,3,3,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,3,3,5,3,1] => [1,3,5,3,3,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,3,5,1,3,3] => [3,3,1,5,3,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,3,5,3,1,3] => [3,1,3,5,3,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,3,5,3,3,1] => [1,3,3,5,3,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,5,1,3,3,3] => [3,3,3,1,5,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,5,3,1,3,3] => [3,3,1,3,5,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,5,3,3,1,3] => [3,1,3,3,5,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,5,3,3,3,1] => [1,3,3,3,5,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[3,1,1,3,3,5] => [5,3,3,1,1,3] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[3,1,1,3,5,3] => [3,5,3,1,1,3] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[3,1,1,5,3,3] => [3,3,5,1,1,3] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[3,1,3,1,3,5] => [5,3,1,3,1,3] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[3,1,3,1,5,3] => [3,5,1,3,1,3] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[3,1,3,3,1,5] => [5,1,3,3,1,3] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[3,1,3,3,5,1] => [1,5,3,3,1,3] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[3,1,3,5,1,3] => [3,1,5,3,1,3] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[3,1,3,5,3,1] => [1,3,5,3,1,3] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[3,1,5,1,3,3] => [3,3,1,5,1,3] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[3,1,5,3,1,3] => [3,1,3,5,1,3] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[3,1,5,3,3,1] => [1,3,3,5,1,3] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[3,3,1,1,3,5] => [5,3,1,1,3,3] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[3,3,1,1,5,3] => [3,5,1,1,3,3] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[3,3,1,3,1,5] => [5,1,3,1,3,3] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[3,3,1,3,5,1] => [1,5,3,1,3,3] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[3,3,1,5,1,3] => [3,1,5,1,3,3] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[3,3,1,5,3,1] => [1,3,5,1,3,3] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[3,3,3,1,1,5] => [5,1,1,3,3,3] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[3,3,3,1,5,1] => [1,5,1,3,3,3] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[3,3,3,5,1,1] => [1,1,5,3,3,3] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[3,3,5,1,1,3] => [3,1,1,5,3,3] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[3,3,5,1,3,1] => [1,3,1,5,3,3] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[3,3,5,3,1,1] => [1,1,3,5,3,3] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[3,5,1,1,3,3] => [3,3,1,1,5,3] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[3,5,1,3,1,3] => [3,1,3,1,5,3] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[3,5,1,3,3,1] => [1,3,3,1,5,3] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[3,5,3,1,1,3] => [3,1,1,3,5,3] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[3,5,3,1,3,1] => [1,3,1,3,5,3] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[3,5,3,3,1,1] => [1,1,3,3,5,3] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[5,1,1,3,3,3] => [3,3,3,1,1,5] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[5,1,3,1,3,3] => [3,3,1,3,1,5] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[5,1,3,3,1,3] => [3,1,3,3,1,5] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[5,1,3,3,3,1] => [1,3,3,3,1,5] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[5,3,1,1,3,3] => [3,3,1,1,3,5] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[5,3,1,3,1,3] => [3,1,3,1,3,5] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[5,3,1,3,3,1] => [1,3,3,1,3,5] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[5,3,3,1,1,3] => [3,1,1,3,3,5] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[5,3,3,1,3,1] => [1,3,1,3,3,5] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[5,3,3,3,1,1] => [1,1,3,3,3,5] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,3,3,3,6] => [6,3,3,3,1,1] => [{5,6},{2,3,4},{1}] => {{1},{2,3,4},{5,6}}
[1,1,3,3,6,3] => [3,6,3,3,1,1] => [{5,6},{1,3,4},{2}] => {{1,3,4},{2},{5,6}}
[1,1,3,6,3,3] => [3,3,6,3,1,1] => [{5,6},{1,2,4},{3}] => {{1,2,4},{3},{5,6}}
[1,1,6,3,3,3] => [3,3,3,6,1,1] => [{5,6},{1,2,3},{4}] => {{1,2,3},{4},{5,6}}
[1,3,1,3,3,6] => [6,3,3,1,3,1] => [{4,6},{2,3,5},{1}] => {{1},{2,3,5},{4,6}}
[1,3,1,3,6,3] => [3,6,3,1,3,1] => [{4,6},{1,3,5},{2}] => {{1,3,5},{2},{4,6}}
[1,3,1,6,3,3] => [3,3,6,1,3,1] => [{4,6},{1,2,5},{3}] => {{1,2,5},{3},{4,6}}
[1,3,3,1,3,6] => [6,3,1,3,3,1] => [{3,6},{2,4,5},{1}] => {{1},{2,4,5},{3,6}}
[1,3,3,1,6,3] => [3,6,1,3,3,1] => [{3,6},{1,4,5},{2}] => {{1,4,5},{2},{3,6}}
[1,3,3,3,1,6] => [6,1,3,3,3,1] => [{2,6},{3,4,5},{1}] => {{1},{2,6},{3,4,5}}
[1,3,3,3,6,1] => [1,6,3,3,3,1] => [{1,6},{3,4,5},{2}] => {{1,6},{2},{3,4,5}}
[1,3,3,6,1,3] => [3,1,6,3,3,1] => [{2,6},{1,4,5},{3}] => {{1,4,5},{2,6},{3}}
[1,3,3,6,3,1] => [1,3,6,3,3,1] => [{1,6},{2,4,5},{3}] => {{1,6},{2,4,5},{3}}
[1,3,6,1,3,3] => [3,3,1,6,3,1] => [{3,6},{1,2,5},{4}] => {{1,2,5},{3,6},{4}}
[1,3,6,3,1,3] => [3,1,3,6,3,1] => [{2,6},{1,3,5},{4}] => {{1,3,5},{2,6},{4}}
[1,3,6,3,3,1] => [1,3,3,6,3,1] => [{1,6},{2,3,5},{4}] => {{1,6},{2,3,5},{4}}
[1,6,1,3,3,3] => [3,3,3,1,6,1] => [{4,6},{1,2,3},{5}] => {{1,2,3},{4,6},{5}}
[1,6,3,1,3,3] => [3,3,1,3,6,1] => [{3,6},{1,2,4},{5}] => {{1,2,4},{3,6},{5}}
[1,6,3,3,1,3] => [3,1,3,3,6,1] => [{2,6},{1,3,4},{5}] => {{1,3,4},{2,6},{5}}
[1,6,3,3,3,1] => [1,3,3,3,6,1] => [{1,6},{2,3,4},{5}] => {{1,6},{2,3,4},{5}}
[3,1,1,3,3,6] => [6,3,3,1,1,3] => [{4,5},{2,3,6},{1}] => {{1},{2,3,6},{4,5}}
[3,1,1,3,6,3] => [3,6,3,1,1,3] => [{4,5},{1,3,6},{2}] => {{1,3,6},{2},{4,5}}
[3,1,1,6,3,3] => [3,3,6,1,1,3] => [{4,5},{1,2,6},{3}] => {{1,2,6},{3},{4,5}}
[3,1,3,1,3,6] => [6,3,1,3,1,3] => [{3,5},{2,4,6},{1}] => {{1},{2,4,6},{3,5}}
[3,1,3,1,6,3] => [3,6,1,3,1,3] => [{3,5},{1,4,6},{2}] => {{1,4,6},{2},{3,5}}
[3,1,3,3,1,6] => [6,1,3,3,1,3] => [{2,5},{3,4,6},{1}] => {{1},{2,5},{3,4,6}}
[3,1,3,3,6,1] => [1,6,3,3,1,3] => [{1,5},{3,4,6},{2}] => {{1,5},{2},{3,4,6}}
[3,1,3,6,1,3] => [3,1,6,3,1,3] => [{2,5},{1,4,6},{3}] => {{1,4,6},{2,5},{3}}
[3,1,3,6,3,1] => [1,3,6,3,1,3] => [{1,5},{2,4,6},{3}] => {{1,5},{2,4,6},{3}}
[3,1,6,1,3,3] => [3,3,1,6,1,3] => [{3,5},{1,2,6},{4}] => {{1,2,6},{3,5},{4}}
[3,1,6,3,1,3] => [3,1,3,6,1,3] => [{2,5},{1,3,6},{4}] => {{1,3,6},{2,5},{4}}
[3,1,6,3,3,1] => [1,3,3,6,1,3] => [{1,5},{2,3,6},{4}] => {{1,5},{2,3,6},{4}}
[3,3,1,1,3,6] => [6,3,1,1,3,3] => [{3,4},{2,5,6},{1}] => {{1},{2,5,6},{3,4}}
[3,3,1,1,6,3] => [3,6,1,1,3,3] => [{3,4},{1,5,6},{2}] => {{1,5,6},{2},{3,4}}
[3,3,1,3,1,6] => [6,1,3,1,3,3] => [{2,4},{3,5,6},{1}] => {{1},{2,4},{3,5,6}}
[3,3,1,3,6,1] => [1,6,3,1,3,3] => [{1,4},{3,5,6},{2}] => {{1,4},{2},{3,5,6}}
[3,3,1,6,1,3] => [3,1,6,1,3,3] => [{2,4},{1,5,6},{3}] => {{1,5,6},{2,4},{3}}
[3,3,1,6,3,1] => [1,3,6,1,3,3] => [{1,4},{2,5,6},{3}] => {{1,4},{2,5,6},{3}}
[3,3,3,1,1,6] => [6,1,1,3,3,3] => [{2,3},{4,5,6},{1}] => {{1},{2,3},{4,5,6}}
[3,3,3,1,6,1] => [1,6,1,3,3,3] => [{1,3},{4,5,6},{2}] => {{1,3},{2},{4,5,6}}
[3,3,3,6,1,1] => [1,1,6,3,3,3] => [{1,2},{4,5,6},{3}] => {{1,2},{3},{4,5,6}}
[3,3,6,1,1,3] => [3,1,1,6,3,3] => [{2,3},{1,5,6},{4}] => {{1,5,6},{2,3},{4}}
[3,3,6,1,3,1] => [1,3,1,6,3,3] => [{1,3},{2,5,6},{4}] => {{1,3},{2,5,6},{4}}
[3,3,6,3,1,1] => [1,1,3,6,3,3] => [{1,2},{3,5,6},{4}] => {{1,2},{3,5,6},{4}}
[3,6,1,1,3,3] => [3,3,1,1,6,3] => [{3,4},{1,2,6},{5}] => {{1,2,6},{3,4},{5}}
[3,6,1,3,1,3] => [3,1,3,1,6,3] => [{2,4},{1,3,6},{5}] => {{1,3,6},{2,4},{5}}
[3,6,1,3,3,1] => [1,3,3,1,6,3] => [{1,4},{2,3,6},{5}] => {{1,4},{2,3,6},{5}}
[3,6,3,1,1,3] => [3,1,1,3,6,3] => [{2,3},{1,4,6},{5}] => {{1,4,6},{2,3},{5}}
[3,6,3,1,3,1] => [1,3,1,3,6,3] => [{1,3},{2,4,6},{5}] => {{1,3},{2,4,6},{5}}
[3,6,3,3,1,1] => [1,1,3,3,6,3] => [{1,2},{3,4,6},{5}] => {{1,2},{3,4,6},{5}}
[6,1,1,3,3,3] => [3,3,3,1,1,6] => [{4,5},{1,2,3},{6}] => {{1,2,3},{4,5},{6}}
[6,1,3,1,3,3] => [3,3,1,3,1,6] => [{3,5},{1,2,4},{6}] => {{1,2,4},{3,5},{6}}
[6,1,3,3,1,3] => [3,1,3,3,1,6] => [{2,5},{1,3,4},{6}] => {{1,3,4},{2,5},{6}}
[6,1,3,3,3,1] => [1,3,3,3,1,6] => [{1,5},{2,3,4},{6}] => {{1,5},{2,3,4},{6}}
[6,3,1,1,3,3] => [3,3,1,1,3,6] => [{3,4},{1,2,5},{6}] => {{1,2,5},{3,4},{6}}
[6,3,1,3,1,3] => [3,1,3,1,3,6] => [{2,4},{1,3,5},{6}] => {{1,3,5},{2,4},{6}}
[6,3,1,3,3,1] => [1,3,3,1,3,6] => [{1,4},{2,3,5},{6}] => {{1,4},{2,3,5},{6}}
[6,3,3,1,1,3] => [3,1,1,3,3,6] => [{2,3},{1,4,5},{6}] => {{1,4,5},{2,3},{6}}
[6,3,3,1,3,1] => [1,3,1,3,3,6] => [{1,3},{2,4,5},{6}] => {{1,3},{2,4,5},{6}}
[6,3,3,3,1,1] => [1,1,3,3,3,6] => [{1,2},{3,4,5},{6}] => {{1,2},{3,4,5},{6}}
[1,1,3,3,4,4] => [4,4,3,3,1,1] => [{5,6},{3,4},{1,2}] => {{1,2},{3,4},{5,6}}
[1,1,3,4,3,4] => [4,3,4,3,1,1] => [{5,6},{2,4},{1,3}] => {{1,3},{2,4},{5,6}}
[1,1,3,4,4,3] => [3,4,4,3,1,1] => [{5,6},{1,4},{2,3}] => {{1,4},{2,3},{5,6}}
[1,1,4,3,3,4] => [4,3,3,4,1,1] => [{5,6},{2,3},{1,4}] => {{1,4},{2,3},{5,6}}
[1,1,4,3,4,3] => [3,4,3,4,1,1] => [{5,6},{1,3},{2,4}] => {{1,3},{2,4},{5,6}}
[1,1,4,4,3,3] => [3,3,4,4,1,1] => [{5,6},{1,2},{3,4}] => {{1,2},{3,4},{5,6}}
[1,3,1,3,4,4] => [4,4,3,1,3,1] => [{4,6},{3,5},{1,2}] => {{1,2},{3,5},{4,6}}
[1,3,1,4,3,4] => [4,3,4,1,3,1] => [{4,6},{2,5},{1,3}] => {{1,3},{2,5},{4,6}}
[1,3,1,4,4,3] => [3,4,4,1,3,1] => [{4,6},{1,5},{2,3}] => {{1,5},{2,3},{4,6}}
[1,3,3,1,4,4] => [4,4,1,3,3,1] => [{3,6},{4,5},{1,2}] => {{1,2},{3,6},{4,5}}
[1,3,3,4,1,4] => [4,1,4,3,3,1] => [{2,6},{4,5},{1,3}] => {{1,3},{2,6},{4,5}}
[1,3,3,4,4,1] => [1,4,4,3,3,1] => [{1,6},{4,5},{2,3}] => {{1,6},{2,3},{4,5}}
[1,3,4,1,3,4] => [4,3,1,4,3,1] => [{3,6},{2,5},{1,4}] => {{1,4},{2,5},{3,6}}
[1,3,4,1,4,3] => [3,4,1,4,3,1] => [{3,6},{1,5},{2,4}] => {{1,5},{2,4},{3,6}}
[1,3,4,3,1,4] => [4,1,3,4,3,1] => [{2,6},{3,5},{1,4}] => {{1,4},{2,6},{3,5}}
[1,3,4,3,4,1] => [1,4,3,4,3,1] => [{1,6},{3,5},{2,4}] => {{1,6},{2,4},{3,5}}
[1,3,4,4,1,3] => [3,1,4,4,3,1] => [{2,6},{1,5},{3,4}] => {{1,5},{2,6},{3,4}}
[1,3,4,4,3,1] => [1,3,4,4,3,1] => [{1,6},{2,5},{3,4}] => {{1,6},{2,5},{3,4}}
[1,4,1,3,3,4] => [4,3,3,1,4,1] => [{4,6},{2,3},{1,5}] => {{1,5},{2,3},{4,6}}
[1,4,1,3,4,3] => [3,4,3,1,4,1] => [{4,6},{1,3},{2,5}] => {{1,3},{2,5},{4,6}}
[1,4,1,4,3,3] => [3,3,4,1,4,1] => [{4,6},{1,2},{3,5}] => {{1,2},{3,5},{4,6}}
[1,4,3,1,3,4] => [4,3,1,3,4,1] => [{3,6},{2,4},{1,5}] => {{1,5},{2,4},{3,6}}
[1,4,3,1,4,3] => [3,4,1,3,4,1] => [{3,6},{1,4},{2,5}] => {{1,4},{2,5},{3,6}}
[1,4,3,3,1,4] => [4,1,3,3,4,1] => [{2,6},{3,4},{1,5}] => {{1,5},{2,6},{3,4}}
[1,4,3,3,4,1] => [1,4,3,3,4,1] => [{1,6},{3,4},{2,5}] => {{1,6},{2,5},{3,4}}
[1,4,3,4,1,3] => [3,1,4,3,4,1] => [{2,6},{1,4},{3,5}] => {{1,4},{2,6},{3,5}}
[1,4,3,4,3,1] => [1,3,4,3,4,1] => [{1,6},{2,4},{3,5}] => {{1,6},{2,4},{3,5}}
[1,4,4,1,3,3] => [3,3,1,4,4,1] => [{3,6},{1,2},{4,5}] => {{1,2},{3,6},{4,5}}
[1,4,4,3,1,3] => [3,1,3,4,4,1] => [{2,6},{1,3},{4,5}] => {{1,3},{2,6},{4,5}}
[1,4,4,3,3,1] => [1,3,3,4,4,1] => [{1,6},{2,3},{4,5}] => {{1,6},{2,3},{4,5}}
[3,1,1,3,4,4] => [4,4,3,1,1,3] => [{4,5},{3,6},{1,2}] => {{1,2},{3,6},{4,5}}
[3,1,1,4,3,4] => [4,3,4,1,1,3] => [{4,5},{2,6},{1,3}] => {{1,3},{2,6},{4,5}}
[3,1,1,4,4,3] => [3,4,4,1,1,3] => [{4,5},{1,6},{2,3}] => {{1,6},{2,3},{4,5}}
[3,1,3,1,4,4] => [4,4,1,3,1,3] => [{3,5},{4,6},{1,2}] => {{1,2},{3,5},{4,6}}
[3,1,3,4,1,4] => [4,1,4,3,1,3] => [{2,5},{4,6},{1,3}] => {{1,3},{2,5},{4,6}}
[3,1,3,4,4,1] => [1,4,4,3,1,3] => [{1,5},{4,6},{2,3}] => {{1,5},{2,3},{4,6}}
[3,1,4,1,3,4] => [4,3,1,4,1,3] => [{3,5},{2,6},{1,4}] => {{1,4},{2,6},{3,5}}
[3,1,4,1,4,3] => [3,4,1,4,1,3] => [{3,5},{1,6},{2,4}] => {{1,6},{2,4},{3,5}}
[3,1,4,3,1,4] => [4,1,3,4,1,3] => [{2,5},{3,6},{1,4}] => {{1,4},{2,5},{3,6}}
[3,1,4,3,4,1] => [1,4,3,4,1,3] => [{1,5},{3,6},{2,4}] => {{1,5},{2,4},{3,6}}
[3,1,4,4,1,3] => [3,1,4,4,1,3] => [{2,5},{1,6},{3,4}] => {{1,6},{2,5},{3,4}}
[3,1,4,4,3,1] => [1,3,4,4,1,3] => [{1,5},{2,6},{3,4}] => {{1,5},{2,6},{3,4}}
[3,3,1,1,4,4] => [4,4,1,1,3,3] => [{3,4},{5,6},{1,2}] => {{1,2},{3,4},{5,6}}
[3,3,1,4,1,4] => [4,1,4,1,3,3] => [{2,4},{5,6},{1,3}] => {{1,3},{2,4},{5,6}}
[3,3,1,4,4,1] => [1,4,4,1,3,3] => [{1,4},{5,6},{2,3}] => {{1,4},{2,3},{5,6}}
[3,3,4,1,1,4] => [4,1,1,4,3,3] => [{2,3},{5,6},{1,4}] => {{1,4},{2,3},{5,6}}
[3,3,4,1,4,1] => [1,4,1,4,3,3] => [{1,3},{5,6},{2,4}] => {{1,3},{2,4},{5,6}}
[3,3,4,4,1,1] => [1,1,4,4,3,3] => [{1,2},{5,6},{3,4}] => {{1,2},{3,4},{5,6}}
[3,4,1,1,3,4] => [4,3,1,1,4,3] => [{3,4},{2,6},{1,5}] => {{1,5},{2,6},{3,4}}
[3,4,1,1,4,3] => [3,4,1,1,4,3] => [{3,4},{1,6},{2,5}] => {{1,6},{2,5},{3,4}}
[3,4,1,3,1,4] => [4,1,3,1,4,3] => [{2,4},{3,6},{1,5}] => {{1,5},{2,4},{3,6}}
[3,4,1,3,4,1] => [1,4,3,1,4,3] => [{1,4},{3,6},{2,5}] => {{1,4},{2,5},{3,6}}
[3,4,1,4,1,3] => [3,1,4,1,4,3] => [{2,4},{1,6},{3,5}] => {{1,6},{2,4},{3,5}}
[3,4,1,4,3,1] => [1,3,4,1,4,3] => [{1,4},{2,6},{3,5}] => {{1,4},{2,6},{3,5}}
[3,4,3,1,1,4] => [4,1,1,3,4,3] => [{2,3},{4,6},{1,5}] => {{1,5},{2,3},{4,6}}
[3,4,3,1,4,1] => [1,4,1,3,4,3] => [{1,3},{4,6},{2,5}] => {{1,3},{2,5},{4,6}}
[3,4,3,4,1,1] => [1,1,4,3,4,3] => [{1,2},{4,6},{3,5}] => {{1,2},{3,5},{4,6}}
[3,4,4,1,1,3] => [3,1,1,4,4,3] => [{2,3},{1,6},{4,5}] => {{1,6},{2,3},{4,5}}
[3,4,4,1,3,1] => [1,3,1,4,4,3] => [{1,3},{2,6},{4,5}] => {{1,3},{2,6},{4,5}}
[3,4,4,3,1,1] => [1,1,3,4,4,3] => [{1,2},{3,6},{4,5}] => {{1,2},{3,6},{4,5}}
[4,1,1,3,3,4] => [4,3,3,1,1,4] => [{4,5},{2,3},{1,6}] => {{1,6},{2,3},{4,5}}
[4,1,1,3,4,3] => [3,4,3,1,1,4] => [{4,5},{1,3},{2,6}] => {{1,3},{2,6},{4,5}}
[4,1,1,4,3,3] => [3,3,4,1,1,4] => [{4,5},{1,2},{3,6}] => {{1,2},{3,6},{4,5}}
[4,1,3,1,3,4] => [4,3,1,3,1,4] => [{3,5},{2,4},{1,6}] => {{1,6},{2,4},{3,5}}
[4,1,3,1,4,3] => [3,4,1,3,1,4] => [{3,5},{1,4},{2,6}] => {{1,4},{2,6},{3,5}}
[4,1,3,3,1,4] => [4,1,3,3,1,4] => [{2,5},{3,4},{1,6}] => {{1,6},{2,5},{3,4}}
[4,1,3,3,4,1] => [1,4,3,3,1,4] => [{1,5},{3,4},{2,6}] => {{1,5},{2,6},{3,4}}
[4,1,3,4,1,3] => [3,1,4,3,1,4] => [{2,5},{1,4},{3,6}] => {{1,4},{2,5},{3,6}}
[4,1,3,4,3,1] => [1,3,4,3,1,4] => [{1,5},{2,4},{3,6}] => {{1,5},{2,4},{3,6}}
[4,1,4,1,3,3] => [3,3,1,4,1,4] => [{3,5},{1,2},{4,6}] => {{1,2},{3,5},{4,6}}
[4,1,4,3,1,3] => [3,1,3,4,1,4] => [{2,5},{1,3},{4,6}] => {{1,3},{2,5},{4,6}}
[4,1,4,3,3,1] => [1,3,3,4,1,4] => [{1,5},{2,3},{4,6}] => {{1,5},{2,3},{4,6}}
[4,3,1,1,3,4] => [4,3,1,1,3,4] => [{3,4},{2,5},{1,6}] => {{1,6},{2,5},{3,4}}
[4,3,1,1,4,3] => [3,4,1,1,3,4] => [{3,4},{1,5},{2,6}] => {{1,5},{2,6},{3,4}}
[4,3,1,3,1,4] => [4,1,3,1,3,4] => [{2,4},{3,5},{1,6}] => {{1,6},{2,4},{3,5}}
[4,3,1,3,4,1] => [1,4,3,1,3,4] => [{1,4},{3,5},{2,6}] => {{1,4},{2,6},{3,5}}
[4,3,1,4,1,3] => [3,1,4,1,3,4] => [{2,4},{1,5},{3,6}] => {{1,5},{2,4},{3,6}}
[4,3,1,4,3,1] => [1,3,4,1,3,4] => [{1,4},{2,5},{3,6}] => {{1,4},{2,5},{3,6}}
[4,3,3,1,1,4] => [4,1,1,3,3,4] => [{2,3},{4,5},{1,6}] => {{1,6},{2,3},{4,5}}
[4,3,3,1,4,1] => [1,4,1,3,3,4] => [{1,3},{4,5},{2,6}] => {{1,3},{2,6},{4,5}}
[4,3,3,4,1,1] => [1,1,4,3,3,4] => [{1,2},{4,5},{3,6}] => {{1,2},{3,6},{4,5}}
[4,3,4,1,1,3] => [3,1,1,4,3,4] => [{2,3},{1,5},{4,6}] => {{1,5},{2,3},{4,6}}
[4,3,4,1,3,1] => [1,3,1,4,3,4] => [{1,3},{2,5},{4,6}] => {{1,3},{2,5},{4,6}}
[4,3,4,3,1,1] => [1,1,3,4,3,4] => [{1,2},{3,5},{4,6}] => {{1,2},{3,5},{4,6}}
[4,4,1,1,3,3] => [3,3,1,1,4,4] => [{3,4},{1,2},{5,6}] => {{1,2},{3,4},{5,6}}
[4,4,1,3,1,3] => [3,1,3,1,4,4] => [{2,4},{1,3},{5,6}] => {{1,3},{2,4},{5,6}}
[4,4,1,3,3,1] => [1,3,3,1,4,4] => [{1,4},{2,3},{5,6}] => {{1,4},{2,3},{5,6}}
[4,4,3,1,1,3] => [3,1,1,3,4,4] => [{2,3},{1,4},{5,6}] => {{1,4},{2,3},{5,6}}
[4,4,3,1,3,1] => [1,3,1,3,4,4] => [{1,3},{2,4},{5,6}] => {{1,3},{2,4},{5,6}}
[4,4,3,3,1,1] => [1,1,3,3,4,4] => [{1,2},{3,4},{5,6}] => {{1,2},{3,4},{5,6}}
[1,1,3,3,4,5] => [5,4,3,3,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,5,4] => [4,5,3,3,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,4,3,5] => [5,3,4,3,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,4,5,3] => [3,5,4,3,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,5,3,4] => [4,3,5,3,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,3,5,4,3] => [3,4,5,3,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,3,3,5] => [5,3,3,4,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,4,3,5,3] => [3,5,3,4,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,4,5,3,3] => [3,3,5,4,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,5,3,3,4] => [4,3,3,5,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,5,3,4,3] => [3,4,3,5,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,4,3,3] => [3,3,4,5,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,3,1,3,4,5] => [5,4,3,1,3,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,5,4] => [4,5,3,1,3,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,4,3,5] => [5,3,4,1,3,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,4,5,3] => [3,5,4,1,3,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,5,3,4] => [4,3,5,1,3,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,1,5,4,3] => [3,4,5,1,3,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,3,1,4,5] => [5,4,1,3,3,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,5,4] => [4,5,1,3,3,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,4,1,5] => [5,1,4,3,3,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,4,5,1] => [1,5,4,3,3,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,5,1,4] => [4,1,5,3,3,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,5,4,1] => [1,4,5,3,3,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,4,1,3,5] => [5,3,1,4,3,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,4,1,5,3] => [3,5,1,4,3,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,4,3,1,5] => [5,1,3,4,3,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,4,3,5,1] => [1,5,3,4,3,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,4,5,1,3] => [3,1,5,4,3,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,4,5,3,1] => [1,3,5,4,3,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,5,1,3,4] => [4,3,1,5,3,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,5,1,4,3] => [3,4,1,5,3,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,5,3,1,4] => [4,1,3,5,3,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,5,3,4,1] => [1,4,3,5,3,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,3,5,4,1,3] => [3,1,4,5,3,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,5,4,3,1] => [1,3,4,5,3,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,1,3,3,5] => [5,3,3,1,4,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,4,1,3,5,3] => [3,5,3,1,4,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,4,1,5,3,3] => [3,3,5,1,4,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,4,3,1,3,5] => [5,3,1,3,4,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,4,3,1,5,3] => [3,5,1,3,4,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,4,3,3,1,5] => [5,1,3,3,4,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,4,3,3,5,1] => [1,5,3,3,4,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,4,3,5,1,3] => [3,1,5,3,4,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,4,3,5,3,1] => [1,3,5,3,4,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,4,5,1,3,3] => [3,3,1,5,4,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,4,5,3,1,3] => [3,1,3,5,4,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,4,5,3,3,1] => [1,3,3,5,4,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,5,1,3,3,4] => [4,3,3,1,5,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,1,3,4,3] => [3,4,3,1,5,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,4,3,3] => [3,3,4,1,5,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,3,1,3,4] => [4,3,1,3,5,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,3,1,4,3] => [3,4,1,3,5,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,3,3,1,4] => [4,1,3,3,5,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,3,3,4,1] => [1,4,3,3,5,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,5,3,4,1,3] => [3,1,4,3,5,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,3,4,3,1] => [1,3,4,3,5,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,4,1,3,3] => [3,3,1,4,5,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,4,3,1,3] => [3,1,3,4,5,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,4,3,3,1] => [1,3,3,4,5,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,1,1,3,4,5] => [5,4,3,1,1,3] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,5,4] => [4,5,3,1,1,3] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,4,3,5] => [5,3,4,1,1,3] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,4,5,3] => [3,5,4,1,1,3] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,5,3,4] => [4,3,5,1,1,3] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,1,5,4,3] => [3,4,5,1,1,3] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,3,1,4,5] => [5,4,1,3,1,3] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,5,4] => [4,5,1,3,1,3] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,4,1,5] => [5,1,4,3,1,3] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,4,5,1] => [1,5,4,3,1,3] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,5,1,4] => [4,1,5,3,1,3] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,5,4,1] => [1,4,5,3,1,3] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,4,1,3,5] => [5,3,1,4,1,3] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,4,1,5,3] => [3,5,1,4,1,3] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,4,3,1,5] => [5,1,3,4,1,3] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,4,3,5,1] => [1,5,3,4,1,3] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,4,5,1,3] => [3,1,5,4,1,3] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,4,5,3,1] => [1,3,5,4,1,3] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,5,1,3,4] => [4,3,1,5,1,3] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,5,1,4,3] => [3,4,1,5,1,3] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,5,3,1,4] => [4,1,3,5,1,3] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,5,3,4,1] => [1,4,3,5,1,3] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[3,1,5,4,1,3] => [3,1,4,5,1,3] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,5,4,3,1] => [1,3,4,5,1,3] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[3,3,1,1,4,5] => [5,4,1,1,3,3] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,5,4] => [4,5,1,1,3,3] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,4,1,5] => [5,1,4,1,3,3] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,4,5,1] => [1,5,4,1,3,3] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,5,1,4] => [4,1,5,1,3,3] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,5,4,1] => [1,4,5,1,3,3] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,4,1,1,5] => [5,1,1,4,3,3] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,4,1,5,1] => [1,5,1,4,3,3] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,4,5,1,1] => [1,1,5,4,3,3] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,5,1,1,4] => [4,1,1,5,3,3] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,5,1,4,1] => [1,4,1,5,3,3] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,5,4,1,1] => [1,1,4,5,3,3] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[3,4,1,1,3,5] => [5,3,1,1,4,3] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[3,4,1,1,5,3] => [3,5,1,1,4,3] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[3,4,1,3,1,5] => [5,1,3,1,4,3] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[3,4,1,3,5,1] => [1,5,3,1,4,3] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[3,4,1,5,1,3] => [3,1,5,1,4,3] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[3,4,1,5,3,1] => [1,3,5,1,4,3] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[3,4,3,1,1,5] => [5,1,1,3,4,3] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[3,4,3,1,5,1] => [1,5,1,3,4,3] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[3,4,3,5,1,1] => [1,1,5,3,4,3] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[3,4,5,1,1,3] => [3,1,1,5,4,3] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[3,4,5,1,3,1] => [1,3,1,5,4,3] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[3,4,5,3,1,1] => [1,1,3,5,4,3] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[3,5,1,1,3,4] => [4,3,1,1,5,3] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[3,5,1,1,4,3] => [3,4,1,1,5,3] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[3,5,1,3,1,4] => [4,1,3,1,5,3] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[3,5,1,3,4,1] => [1,4,3,1,5,3] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[3,5,1,4,1,3] => [3,1,4,1,5,3] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[3,5,1,4,3,1] => [1,3,4,1,5,3] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[3,5,3,1,1,4] => [4,1,1,3,5,3] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[3,5,3,1,4,1] => [1,4,1,3,5,3] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[3,5,3,4,1,1] => [1,1,4,3,5,3] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[3,5,4,1,1,3] => [3,1,1,4,5,3] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,5,4,1,3,1] => [1,3,1,4,5,3] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[3,5,4,3,1,1] => [1,1,3,4,5,3] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[4,1,1,3,3,5] => [5,3,3,1,1,4] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,1,1,3,5,3] => [3,5,3,1,1,4] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,1,1,5,3,3] => [3,3,5,1,1,4] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,1,3,1,3,5] => [5,3,1,3,1,4] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,1,3,1,5,3] => [3,5,1,3,1,4] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,1,3,3,1,5] => [5,1,3,3,1,4] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,1,3,3,5,1] => [1,5,3,3,1,4] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,1,3,5,1,3] => [3,1,5,3,1,4] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,1,3,5,3,1] => [1,3,5,3,1,4] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,1,5,1,3,3] => [3,3,1,5,1,4] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,1,5,3,1,3] => [3,1,3,5,1,4] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,1,5,3,3,1] => [1,3,3,5,1,4] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,3,1,1,3,5] => [5,3,1,1,3,4] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,3,1,1,5,3] => [3,5,1,1,3,4] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,3,1,3,1,5] => [5,1,3,1,3,4] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,3,1,3,5,1] => [1,5,3,1,3,4] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,3,1,5,1,3] => [3,1,5,1,3,4] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,3,1,5,3,1] => [1,3,5,1,3,4] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,3,3,1,1,5] => [5,1,1,3,3,4] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,3,3,1,5,1] => [1,5,1,3,3,4] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,3,3,5,1,1] => [1,1,5,3,3,4] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,3,5,1,1,3] => [3,1,1,5,3,4] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,3,5,1,3,1] => [1,3,1,5,3,4] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,3,5,3,1,1] => [1,1,3,5,3,4] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,5,1,1,3,3] => [3,3,1,1,5,4] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[4,5,1,3,1,3] => [3,1,3,1,5,4] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,5,1,3,3,1] => [1,3,3,1,5,4] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,5,3,1,1,3] => [3,1,1,3,5,4] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,5,3,1,3,1] => [1,3,1,3,5,4] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,5,3,3,1,1] => [1,1,3,3,5,4] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[5,1,1,3,3,4] => [4,3,3,1,1,5] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,1,3,4,3] => [3,4,3,1,1,5] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,4,3,3] => [3,3,4,1,1,5] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,3,1,3,4] => [4,3,1,3,1,5] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,3,1,4,3] => [3,4,1,3,1,5] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,3,3,1,4] => [4,1,3,3,1,5] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,3,3,4,1] => [1,4,3,3,1,5] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,1,3,4,1,3] => [3,1,4,3,1,5] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,3,4,3,1] => [1,3,4,3,1,5] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,4,1,3,3] => [3,3,1,4,1,5] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,4,3,1,3] => [3,1,3,4,1,5] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,4,3,3,1] => [1,3,3,4,1,5] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,3,1,1,3,4] => [4,3,1,1,3,5] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[5,3,1,1,4,3] => [3,4,1,1,3,5] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[5,3,1,3,1,4] => [4,1,3,1,3,5] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[5,3,1,3,4,1] => [1,4,3,1,3,5] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[5,3,1,4,1,3] => [3,1,4,1,3,5] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[5,3,1,4,3,1] => [1,3,4,1,3,5] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[5,3,3,1,1,4] => [4,1,1,3,3,5] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[5,3,3,1,4,1] => [1,4,1,3,3,5] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[5,3,3,4,1,1] => [1,1,4,3,3,5] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[5,3,4,1,1,3] => [3,1,1,4,3,5] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[5,3,4,1,3,1] => [1,3,1,4,3,5] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[5,3,4,3,1,1] => [1,1,3,4,3,5] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[5,4,1,1,3,3] => [3,3,1,1,4,5] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[5,4,1,3,1,3] => [3,1,3,1,4,5] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,4,1,3,3,1] => [1,3,3,1,4,5] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,4,3,1,1,3] => [3,1,1,3,4,5] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[5,4,3,1,3,1] => [1,3,1,3,4,5] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[5,4,3,3,1,1] => [1,1,3,3,4,5] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,3,3,4,6] => [6,4,3,3,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,6,4] => [4,6,3,3,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,4,3,6] => [6,3,4,3,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,4,6,3] => [3,6,4,3,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,6,3,4] => [4,3,6,3,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,3,6,4,3] => [3,4,6,3,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,3,3,6] => [6,3,3,4,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,4,3,6,3] => [3,6,3,4,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,4,6,3,3] => [3,3,6,4,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,6,3,3,4] => [4,3,3,6,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,6,3,4,3] => [3,4,3,6,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,4,3,3] => [3,3,4,6,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,3,1,3,4,6] => [6,4,3,1,3,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,6,4] => [4,6,3,1,3,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,4,3,6] => [6,3,4,1,3,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,4,6,3] => [3,6,4,1,3,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,6,3,4] => [4,3,6,1,3,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,1,6,4,3] => [3,4,6,1,3,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,3,1,4,6] => [6,4,1,3,3,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,6,4] => [4,6,1,3,3,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,4,1,6] => [6,1,4,3,3,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,4,6,1] => [1,6,4,3,3,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,6,1,4] => [4,1,6,3,3,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,6,4,1] => [1,4,6,3,3,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,4,1,3,6] => [6,3,1,4,3,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,4,1,6,3] => [3,6,1,4,3,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,4,3,1,6] => [6,1,3,4,3,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,4,3,6,1] => [1,6,3,4,3,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,4,6,1,3] => [3,1,6,4,3,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,4,6,3,1] => [1,3,6,4,3,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,6,1,3,4] => [4,3,1,6,3,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,6,1,4,3] => [3,4,1,6,3,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,6,3,1,4] => [4,1,3,6,3,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,6,3,4,1] => [1,4,3,6,3,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,3,6,4,1,3] => [3,1,4,6,3,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,6,4,3,1] => [1,3,4,6,3,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,1,3,3,6] => [6,3,3,1,4,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,4,1,3,6,3] => [3,6,3,1,4,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,4,1,6,3,3] => [3,3,6,1,4,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,4,3,1,3,6] => [6,3,1,3,4,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,4,3,1,6,3] => [3,6,1,3,4,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,4,3,3,1,6] => [6,1,3,3,4,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,4,3,3,6,1] => [1,6,3,3,4,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,4,3,6,1,3] => [3,1,6,3,4,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,4,3,6,3,1] => [1,3,6,3,4,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,4,6,1,3,3] => [3,3,1,6,4,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,4,6,3,1,3] => [3,1,3,6,4,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,4,6,3,3,1] => [1,3,3,6,4,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,6,1,3,3,4] => [4,3,3,1,6,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,1,3,4,3] => [3,4,3,1,6,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,4,3,3] => [3,3,4,1,6,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,3,1,3,4] => [4,3,1,3,6,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,3,1,4,3] => [3,4,1,3,6,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,3,3,1,4] => [4,1,3,3,6,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,3,3,4,1] => [1,4,3,3,6,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,6,3,4,1,3] => [3,1,4,3,6,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,3,4,3,1] => [1,3,4,3,6,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,4,1,3,3] => [3,3,1,4,6,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,4,3,1,3] => [3,1,3,4,6,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,4,3,3,1] => [1,3,3,4,6,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,1,1,3,4,6] => [6,4,3,1,1,3] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,6,4] => [4,6,3,1,1,3] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,4,3,6] => [6,3,4,1,1,3] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,4,6,3] => [3,6,4,1,1,3] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,6,3,4] => [4,3,6,1,1,3] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,1,6,4,3] => [3,4,6,1,1,3] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,3,1,4,6] => [6,4,1,3,1,3] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,6,4] => [4,6,1,3,1,3] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,4,1,6] => [6,1,4,3,1,3] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,4,6,1] => [1,6,4,3,1,3] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,6,1,4] => [4,1,6,3,1,3] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,6,4,1] => [1,4,6,3,1,3] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,4,1,3,6] => [6,3,1,4,1,3] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,4,1,6,3] => [3,6,1,4,1,3] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,4,3,1,6] => [6,1,3,4,1,3] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,4,3,6,1] => [1,6,3,4,1,3] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,4,6,1,3] => [3,1,6,4,1,3] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,4,6,3,1] => [1,3,6,4,1,3] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,6,1,3,4] => [4,3,1,6,1,3] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,6,1,4,3] => [3,4,1,6,1,3] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,6,3,1,4] => [4,1,3,6,1,3] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,6,3,4,1] => [1,4,3,6,1,3] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[3,1,6,4,1,3] => [3,1,4,6,1,3] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,6,4,3,1] => [1,3,4,6,1,3] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[3,3,1,1,4,6] => [6,4,1,1,3,3] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,6,4] => [4,6,1,1,3,3] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,4,1,6] => [6,1,4,1,3,3] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,4,6,1] => [1,6,4,1,3,3] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,6,1,4] => [4,1,6,1,3,3] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,6,4,1] => [1,4,6,1,3,3] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,4,1,1,6] => [6,1,1,4,3,3] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,4,1,6,1] => [1,6,1,4,3,3] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,4,6,1,1] => [1,1,6,4,3,3] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,6,1,1,4] => [4,1,1,6,3,3] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,6,1,4,1] => [1,4,1,6,3,3] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,6,4,1,1] => [1,1,4,6,3,3] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[3,4,1,1,3,6] => [6,3,1,1,4,3] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[3,4,1,1,6,3] => [3,6,1,1,4,3] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[3,4,1,3,1,6] => [6,1,3,1,4,3] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[3,4,1,3,6,1] => [1,6,3,1,4,3] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[3,4,1,6,1,3] => [3,1,6,1,4,3] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[3,4,1,6,3,1] => [1,3,6,1,4,3] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[3,4,3,1,1,6] => [6,1,1,3,4,3] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[3,4,3,1,6,1] => [1,6,1,3,4,3] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[3,4,3,6,1,1] => [1,1,6,3,4,3] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[3,4,6,1,1,3] => [3,1,1,6,4,3] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[3,4,6,1,3,1] => [1,3,1,6,4,3] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[3,4,6,3,1,1] => [1,1,3,6,4,3] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[3,6,1,1,3,4] => [4,3,1,1,6,3] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[3,6,1,1,4,3] => [3,4,1,1,6,3] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[3,6,1,3,1,4] => [4,1,3,1,6,3] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[3,6,1,3,4,1] => [1,4,3,1,6,3] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[3,6,1,4,1,3] => [3,1,4,1,6,3] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[3,6,1,4,3,1] => [1,3,4,1,6,3] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[3,6,3,1,1,4] => [4,1,1,3,6,3] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[3,6,3,1,4,1] => [1,4,1,3,6,3] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[3,6,3,4,1,1] => [1,1,4,3,6,3] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[3,6,4,1,1,3] => [3,1,1,4,6,3] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,6,4,1,3,1] => [1,3,1,4,6,3] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[3,6,4,3,1,1] => [1,1,3,4,6,3] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[4,1,1,3,3,6] => [6,3,3,1,1,4] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,1,1,3,6,3] => [3,6,3,1,1,4] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,1,1,6,3,3] => [3,3,6,1,1,4] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,1,3,1,3,6] => [6,3,1,3,1,4] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,1,3,1,6,3] => [3,6,1,3,1,4] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,1,3,3,1,6] => [6,1,3,3,1,4] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,1,3,3,6,1] => [1,6,3,3,1,4] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,1,3,6,1,3] => [3,1,6,3,1,4] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,1,3,6,3,1] => [1,3,6,3,1,4] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,1,6,1,3,3] => [3,3,1,6,1,4] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,1,6,3,1,3] => [3,1,3,6,1,4] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,1,6,3,3,1] => [1,3,3,6,1,4] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,3,1,1,3,6] => [6,3,1,1,3,4] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[4,3,1,1,6,3] => [3,6,1,1,3,4] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[4,3,1,3,1,6] => [6,1,3,1,3,4] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[4,3,1,3,6,1] => [1,6,3,1,3,4] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[4,3,1,6,1,3] => [3,1,6,1,3,4] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[4,3,1,6,3,1] => [1,3,6,1,3,4] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[4,3,3,1,1,6] => [6,1,1,3,3,4] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[4,3,3,1,6,1] => [1,6,1,3,3,4] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[4,3,3,6,1,1] => [1,1,6,3,3,4] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[4,3,6,1,1,3] => [3,1,1,6,3,4] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[4,3,6,1,3,1] => [1,3,1,6,3,4] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[4,3,6,3,1,1] => [1,1,3,6,3,4] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[4,6,1,1,3,3] => [3,3,1,1,6,4] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[4,6,1,3,1,3] => [3,1,3,1,6,4] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,6,1,3,3,1] => [1,3,3,1,6,4] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,6,3,1,1,3] => [3,1,1,3,6,4] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[4,6,3,1,3,1] => [1,3,1,3,6,4] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[4,6,3,3,1,1] => [1,1,3,3,6,4] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[6,1,1,3,3,4] => [4,3,3,1,1,6] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,1,3,4,3] => [3,4,3,1,1,6] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,4,3,3] => [3,3,4,1,1,6] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,3,1,3,4] => [4,3,1,3,1,6] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,3,1,4,3] => [3,4,1,3,1,6] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,3,3,1,4] => [4,1,3,3,1,6] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,3,3,4,1] => [1,4,3,3,1,6] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,1,3,4,1,3] => [3,1,4,3,1,6] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,3,4,3,1] => [1,3,4,3,1,6] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,4,1,3,3] => [3,3,1,4,1,6] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,4,3,1,3] => [3,1,3,4,1,6] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,4,3,3,1] => [1,3,3,4,1,6] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,1,1,3,4] => [4,3,1,1,3,6] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,3,1,1,4,3] => [3,4,1,1,3,6] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,3,1,3,1,4] => [4,1,3,1,3,6] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,3,1,3,4,1] => [1,4,3,1,3,6] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,3,1,4,1,3] => [3,1,4,1,3,6] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,3,1,4,3,1] => [1,3,4,1,3,6] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,3,3,1,1,4] => [4,1,1,3,3,6] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,3,3,1,4,1] => [1,4,1,3,3,6] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,3,3,4,1,1] => [1,1,4,3,3,6] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,3,4,1,1,3] => [3,1,1,4,3,6] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,4,1,3,1] => [1,3,1,4,3,6] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,3,4,3,1,1] => [1,1,3,4,3,6] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,4,1,1,3,3] => [3,3,1,1,4,6] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[6,4,1,3,1,3] => [3,1,3,1,4,6] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,4,1,3,3,1] => [1,3,3,1,4,6] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,4,3,1,1,3] => [3,1,1,3,4,6] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,4,3,1,3,1] => [1,3,1,3,4,6] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,4,3,3,1,1] => [1,1,3,3,4,6] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,3,3,5,5] => [5,5,3,3,1,1] => [{5,6},{3,4},{1,2}] => {{1,2},{3,4},{5,6}}
[1,1,3,5,3,5] => [5,3,5,3,1,1] => [{5,6},{2,4},{1,3}] => {{1,3},{2,4},{5,6}}
[1,1,3,5,5,3] => [3,5,5,3,1,1] => [{5,6},{1,4},{2,3}] => {{1,4},{2,3},{5,6}}
[1,1,5,3,3,5] => [5,3,3,5,1,1] => [{5,6},{2,3},{1,4}] => {{1,4},{2,3},{5,6}}
[1,1,5,3,5,3] => [3,5,3,5,1,1] => [{5,6},{1,3},{2,4}] => {{1,3},{2,4},{5,6}}
[1,1,5,5,3,3] => [3,3,5,5,1,1] => [{5,6},{1,2},{3,4}] => {{1,2},{3,4},{5,6}}
[1,3,1,3,5,5] => [5,5,3,1,3,1] => [{4,6},{3,5},{1,2}] => {{1,2},{3,5},{4,6}}
[1,3,1,5,3,5] => [5,3,5,1,3,1] => [{4,6},{2,5},{1,3}] => {{1,3},{2,5},{4,6}}
[1,3,1,5,5,3] => [3,5,5,1,3,1] => [{4,6},{1,5},{2,3}] => {{1,5},{2,3},{4,6}}
[1,3,3,1,5,5] => [5,5,1,3,3,1] => [{3,6},{4,5},{1,2}] => {{1,2},{3,6},{4,5}}
[1,3,3,5,1,5] => [5,1,5,3,3,1] => [{2,6},{4,5},{1,3}] => {{1,3},{2,6},{4,5}}
[1,3,3,5,5,1] => [1,5,5,3,3,1] => [{1,6},{4,5},{2,3}] => {{1,6},{2,3},{4,5}}
[1,3,5,1,3,5] => [5,3,1,5,3,1] => [{3,6},{2,5},{1,4}] => {{1,4},{2,5},{3,6}}
[1,3,5,1,5,3] => [3,5,1,5,3,1] => [{3,6},{1,5},{2,4}] => {{1,5},{2,4},{3,6}}
[1,3,5,3,1,5] => [5,1,3,5,3,1] => [{2,6},{3,5},{1,4}] => {{1,4},{2,6},{3,5}}
[1,3,5,3,5,1] => [1,5,3,5,3,1] => [{1,6},{3,5},{2,4}] => {{1,6},{2,4},{3,5}}
[1,3,5,5,1,3] => [3,1,5,5,3,1] => [{2,6},{1,5},{3,4}] => {{1,5},{2,6},{3,4}}
[1,3,5,5,3,1] => [1,3,5,5,3,1] => [{1,6},{2,5},{3,4}] => {{1,6},{2,5},{3,4}}
[1,5,1,3,3,5] => [5,3,3,1,5,1] => [{4,6},{2,3},{1,5}] => {{1,5},{2,3},{4,6}}
[1,5,1,3,5,3] => [3,5,3,1,5,1] => [{4,6},{1,3},{2,5}] => {{1,3},{2,5},{4,6}}
[1,5,1,5,3,3] => [3,3,5,1,5,1] => [{4,6},{1,2},{3,5}] => {{1,2},{3,5},{4,6}}
[1,5,3,1,3,5] => [5,3,1,3,5,1] => [{3,6},{2,4},{1,5}] => {{1,5},{2,4},{3,6}}
[1,5,3,1,5,3] => [3,5,1,3,5,1] => [{3,6},{1,4},{2,5}] => {{1,4},{2,5},{3,6}}
[1,5,3,3,1,5] => [5,1,3,3,5,1] => [{2,6},{3,4},{1,5}] => {{1,5},{2,6},{3,4}}
[1,5,3,3,5,1] => [1,5,3,3,5,1] => [{1,6},{3,4},{2,5}] => {{1,6},{2,5},{3,4}}
[1,5,3,5,1,3] => [3,1,5,3,5,1] => [{2,6},{1,4},{3,5}] => {{1,4},{2,6},{3,5}}
[1,5,3,5,3,1] => [1,3,5,3,5,1] => [{1,6},{2,4},{3,5}] => {{1,6},{2,4},{3,5}}
[1,5,5,1,3,3] => [3,3,1,5,5,1] => [{3,6},{1,2},{4,5}] => {{1,2},{3,6},{4,5}}
[1,5,5,3,1,3] => [3,1,3,5,5,1] => [{2,6},{1,3},{4,5}] => {{1,3},{2,6},{4,5}}
[1,5,5,3,3,1] => [1,3,3,5,5,1] => [{1,6},{2,3},{4,5}] => {{1,6},{2,3},{4,5}}
[3,1,1,3,5,5] => [5,5,3,1,1,3] => [{4,5},{3,6},{1,2}] => {{1,2},{3,6},{4,5}}
[3,1,1,5,3,5] => [5,3,5,1,1,3] => [{4,5},{2,6},{1,3}] => {{1,3},{2,6},{4,5}}
[3,1,1,5,5,3] => [3,5,5,1,1,3] => [{4,5},{1,6},{2,3}] => {{1,6},{2,3},{4,5}}
[3,1,3,1,5,5] => [5,5,1,3,1,3] => [{3,5},{4,6},{1,2}] => {{1,2},{3,5},{4,6}}
[3,1,3,5,1,5] => [5,1,5,3,1,3] => [{2,5},{4,6},{1,3}] => {{1,3},{2,5},{4,6}}
[3,1,3,5,5,1] => [1,5,5,3,1,3] => [{1,5},{4,6},{2,3}] => {{1,5},{2,3},{4,6}}
[3,1,5,1,3,5] => [5,3,1,5,1,3] => [{3,5},{2,6},{1,4}] => {{1,4},{2,6},{3,5}}
[3,1,5,1,5,3] => [3,5,1,5,1,3] => [{3,5},{1,6},{2,4}] => {{1,6},{2,4},{3,5}}
[3,1,5,3,1,5] => [5,1,3,5,1,3] => [{2,5},{3,6},{1,4}] => {{1,4},{2,5},{3,6}}
[3,1,5,3,5,1] => [1,5,3,5,1,3] => [{1,5},{3,6},{2,4}] => {{1,5},{2,4},{3,6}}
[3,1,5,5,1,3] => [3,1,5,5,1,3] => [{2,5},{1,6},{3,4}] => {{1,6},{2,5},{3,4}}
[3,1,5,5,3,1] => [1,3,5,5,1,3] => [{1,5},{2,6},{3,4}] => {{1,5},{2,6},{3,4}}
[3,3,1,1,5,5] => [5,5,1,1,3,3] => [{3,4},{5,6},{1,2}] => {{1,2},{3,4},{5,6}}
[3,3,1,5,1,5] => [5,1,5,1,3,3] => [{2,4},{5,6},{1,3}] => {{1,3},{2,4},{5,6}}
[3,3,1,5,5,1] => [1,5,5,1,3,3] => [{1,4},{5,6},{2,3}] => {{1,4},{2,3},{5,6}}
[3,3,5,1,1,5] => [5,1,1,5,3,3] => [{2,3},{5,6},{1,4}] => {{1,4},{2,3},{5,6}}
[3,3,5,1,5,1] => [1,5,1,5,3,3] => [{1,3},{5,6},{2,4}] => {{1,3},{2,4},{5,6}}
[3,3,5,5,1,1] => [1,1,5,5,3,3] => [{1,2},{5,6},{3,4}] => {{1,2},{3,4},{5,6}}
[3,5,1,1,3,5] => [5,3,1,1,5,3] => [{3,4},{2,6},{1,5}] => {{1,5},{2,6},{3,4}}
[3,5,1,1,5,3] => [3,5,1,1,5,3] => [{3,4},{1,6},{2,5}] => {{1,6},{2,5},{3,4}}
[3,5,1,3,1,5] => [5,1,3,1,5,3] => [{2,4},{3,6},{1,5}] => {{1,5},{2,4},{3,6}}
[3,5,1,3,5,1] => [1,5,3,1,5,3] => [{1,4},{3,6},{2,5}] => {{1,4},{2,5},{3,6}}
[3,5,1,5,1,3] => [3,1,5,1,5,3] => [{2,4},{1,6},{3,5}] => {{1,6},{2,4},{3,5}}
[3,5,1,5,3,1] => [1,3,5,1,5,3] => [{1,4},{2,6},{3,5}] => {{1,4},{2,6},{3,5}}
[3,5,3,1,1,5] => [5,1,1,3,5,3] => [{2,3},{4,6},{1,5}] => {{1,5},{2,3},{4,6}}
[3,5,3,1,5,1] => [1,5,1,3,5,3] => [{1,3},{4,6},{2,5}] => {{1,3},{2,5},{4,6}}
[3,5,3,5,1,1] => [1,1,5,3,5,3] => [{1,2},{4,6},{3,5}] => {{1,2},{3,5},{4,6}}
[3,5,5,1,1,3] => [3,1,1,5,5,3] => [{2,3},{1,6},{4,5}] => {{1,6},{2,3},{4,5}}
[3,5,5,1,3,1] => [1,3,1,5,5,3] => [{1,3},{2,6},{4,5}] => {{1,3},{2,6},{4,5}}
[3,5,5,3,1,1] => [1,1,3,5,5,3] => [{1,2},{3,6},{4,5}] => {{1,2},{3,6},{4,5}}
[5,1,1,3,3,5] => [5,3,3,1,1,5] => [{4,5},{2,3},{1,6}] => {{1,6},{2,3},{4,5}}
[5,1,1,3,5,3] => [3,5,3,1,1,5] => [{4,5},{1,3},{2,6}] => {{1,3},{2,6},{4,5}}
[5,1,1,5,3,3] => [3,3,5,1,1,5] => [{4,5},{1,2},{3,6}] => {{1,2},{3,6},{4,5}}
[5,1,3,1,3,5] => [5,3,1,3,1,5] => [{3,5},{2,4},{1,6}] => {{1,6},{2,4},{3,5}}
[5,1,3,1,5,3] => [3,5,1,3,1,5] => [{3,5},{1,4},{2,6}] => {{1,4},{2,6},{3,5}}
[5,1,3,3,1,5] => [5,1,3,3,1,5] => [{2,5},{3,4},{1,6}] => {{1,6},{2,5},{3,4}}
[5,1,3,3,5,1] => [1,5,3,3,1,5] => [{1,5},{3,4},{2,6}] => {{1,5},{2,6},{3,4}}
[5,1,3,5,1,3] => [3,1,5,3,1,5] => [{2,5},{1,4},{3,6}] => {{1,4},{2,5},{3,6}}
[5,1,3,5,3,1] => [1,3,5,3,1,5] => [{1,5},{2,4},{3,6}] => {{1,5},{2,4},{3,6}}
[5,1,5,1,3,3] => [3,3,1,5,1,5] => [{3,5},{1,2},{4,6}] => {{1,2},{3,5},{4,6}}
[5,1,5,3,1,3] => [3,1,3,5,1,5] => [{2,5},{1,3},{4,6}] => {{1,3},{2,5},{4,6}}
[5,1,5,3,3,1] => [1,3,3,5,1,5] => [{1,5},{2,3},{4,6}] => {{1,5},{2,3},{4,6}}
[5,3,1,1,3,5] => [5,3,1,1,3,5] => [{3,4},{2,5},{1,6}] => {{1,6},{2,5},{3,4}}
[5,3,1,1,5,3] => [3,5,1,1,3,5] => [{3,4},{1,5},{2,6}] => {{1,5},{2,6},{3,4}}
[5,3,1,3,1,5] => [5,1,3,1,3,5] => [{2,4},{3,5},{1,6}] => {{1,6},{2,4},{3,5}}
[5,3,1,3,5,1] => [1,5,3,1,3,5] => [{1,4},{3,5},{2,6}] => {{1,4},{2,6},{3,5}}
[5,3,1,5,1,3] => [3,1,5,1,3,5] => [{2,4},{1,5},{3,6}] => {{1,5},{2,4},{3,6}}
[5,3,1,5,3,1] => [1,3,5,1,3,5] => [{1,4},{2,5},{3,6}] => {{1,4},{2,5},{3,6}}
[5,3,3,1,1,5] => [5,1,1,3,3,5] => [{2,3},{4,5},{1,6}] => {{1,6},{2,3},{4,5}}
[5,3,3,1,5,1] => [1,5,1,3,3,5] => [{1,3},{4,5},{2,6}] => {{1,3},{2,6},{4,5}}
[5,3,3,5,1,1] => [1,1,5,3,3,5] => [{1,2},{4,5},{3,6}] => {{1,2},{3,6},{4,5}}
[5,3,5,1,1,3] => [3,1,1,5,3,5] => [{2,3},{1,5},{4,6}] => {{1,5},{2,3},{4,6}}
[5,3,5,1,3,1] => [1,3,1,5,3,5] => [{1,3},{2,5},{4,6}] => {{1,3},{2,5},{4,6}}
[5,3,5,3,1,1] => [1,1,3,5,3,5] => [{1,2},{3,5},{4,6}] => {{1,2},{3,5},{4,6}}
[5,5,1,1,3,3] => [3,3,1,1,5,5] => [{3,4},{1,2},{5,6}] => {{1,2},{3,4},{5,6}}
[5,5,1,3,1,3] => [3,1,3,1,5,5] => [{2,4},{1,3},{5,6}] => {{1,3},{2,4},{5,6}}
[5,5,1,3,3,1] => [1,3,3,1,5,5] => [{1,4},{2,3},{5,6}] => {{1,4},{2,3},{5,6}}
[5,5,3,1,1,3] => [3,1,1,3,5,5] => [{2,3},{1,4},{5,6}] => {{1,4},{2,3},{5,6}}
[5,5,3,1,3,1] => [1,3,1,3,5,5] => [{1,3},{2,4},{5,6}] => {{1,3},{2,4},{5,6}}
[5,5,3,3,1,1] => [1,1,3,3,5,5] => [{1,2},{3,4},{5,6}] => {{1,2},{3,4},{5,6}}
[1,1,3,3,5,6] => [6,5,3,3,1,1] => [{5,6},{3,4},{2},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,3,3,6,5] => [5,6,3,3,1,1] => [{5,6},{3,4},{1},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,3,5,3,6] => [6,3,5,3,1,1] => [{5,6},{2,4},{3},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,3,5,6,3] => [3,6,5,3,1,1] => [{5,6},{1,4},{3},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,3,6,3,5] => [5,3,6,3,1,1] => [{5,6},{2,4},{1},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,3,6,5,3] => [3,5,6,3,1,1] => [{5,6},{1,4},{2},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,5,3,3,6] => [6,3,3,5,1,1] => [{5,6},{2,3},{4},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,5,3,6,3] => [3,6,3,5,1,1] => [{5,6},{1,3},{4},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,5,6,3,3] => [3,3,6,5,1,1] => [{5,6},{1,2},{4},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,6,3,3,5] => [5,3,3,6,1,1] => [{5,6},{2,3},{1},{4}] => {{1},{2,3},{4},{5,6}}
[1,1,6,3,5,3] => [3,5,3,6,1,1] => [{5,6},{1,3},{2},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,5,3,3] => [3,3,5,6,1,1] => [{5,6},{1,2},{3},{4}] => {{1,2},{3},{4},{5,6}}
[1,3,1,3,5,6] => [6,5,3,1,3,1] => [{4,6},{3,5},{2},{1}] => {{1},{2},{3,5},{4,6}}
[1,3,1,3,6,5] => [5,6,3,1,3,1] => [{4,6},{3,5},{1},{2}] => {{1},{2},{3,5},{4,6}}
[1,3,1,5,3,6] => [6,3,5,1,3,1] => [{4,6},{2,5},{3},{1}] => {{1},{2,5},{3},{4,6}}
[1,3,1,5,6,3] => [3,6,5,1,3,1] => [{4,6},{1,5},{3},{2}] => {{1,5},{2},{3},{4,6}}
[1,3,1,6,3,5] => [5,3,6,1,3,1] => [{4,6},{2,5},{1},{3}] => {{1},{2,5},{3},{4,6}}
[1,3,1,6,5,3] => [3,5,6,1,3,1] => [{4,6},{1,5},{2},{3}] => {{1,5},{2},{3},{4,6}}
[1,3,3,1,5,6] => [6,5,1,3,3,1] => [{3,6},{4,5},{2},{1}] => {{1},{2},{3,6},{4,5}}
[1,3,3,1,6,5] => [5,6,1,3,3,1] => [{3,6},{4,5},{1},{2}] => {{1},{2},{3,6},{4,5}}
[1,3,3,5,1,6] => [6,1,5,3,3,1] => [{2,6},{4,5},{3},{1}] => {{1},{2,6},{3},{4,5}}
[1,3,3,5,6,1] => [1,6,5,3,3,1] => [{1,6},{4,5},{3},{2}] => {{1,6},{2},{3},{4,5}}
[1,3,3,6,1,5] => [5,1,6,3,3,1] => [{2,6},{4,5},{1},{3}] => {{1},{2,6},{3},{4,5}}
[1,3,3,6,5,1] => [1,5,6,3,3,1] => [{1,6},{4,5},{2},{3}] => {{1,6},{2},{3},{4,5}}
[1,3,5,1,3,6] => [6,3,1,5,3,1] => [{3,6},{2,5},{4},{1}] => {{1},{2,5},{3,6},{4}}
[1,3,5,1,6,3] => [3,6,1,5,3,1] => [{3,6},{1,5},{4},{2}] => {{1,5},{2},{3,6},{4}}
[1,3,5,3,1,6] => [6,1,3,5,3,1] => [{2,6},{3,5},{4},{1}] => {{1},{2,6},{3,5},{4}}
[1,3,5,3,6,1] => [1,6,3,5,3,1] => [{1,6},{3,5},{4},{2}] => {{1,6},{2},{3,5},{4}}
[1,3,5,6,1,3] => [3,1,6,5,3,1] => [{2,6},{1,5},{4},{3}] => {{1,5},{2,6},{3},{4}}
[1,3,5,6,3,1] => [1,3,6,5,3,1] => [{1,6},{2,5},{4},{3}] => {{1,6},{2,5},{3},{4}}
[1,3,6,1,3,5] => [5,3,1,6,3,1] => [{3,6},{2,5},{1},{4}] => {{1},{2,5},{3,6},{4}}
[1,3,6,1,5,3] => [3,5,1,6,3,1] => [{3,6},{1,5},{2},{4}] => {{1,5},{2},{3,6},{4}}
[1,3,6,3,1,5] => [5,1,3,6,3,1] => [{2,6},{3,5},{1},{4}] => {{1},{2,6},{3,5},{4}}
[1,3,6,3,5,1] => [1,5,3,6,3,1] => [{1,6},{3,5},{2},{4}] => {{1,6},{2},{3,5},{4}}
[1,3,6,5,1,3] => [3,1,5,6,3,1] => [{2,6},{1,5},{3},{4}] => {{1,5},{2,6},{3},{4}}
[1,3,6,5,3,1] => [1,3,5,6,3,1] => [{1,6},{2,5},{3},{4}] => {{1,6},{2,5},{3},{4}}
[1,5,1,3,3,6] => [6,3,3,1,5,1] => [{4,6},{2,3},{5},{1}] => {{1},{2,3},{4,6},{5}}
[1,5,1,3,6,3] => [3,6,3,1,5,1] => [{4,6},{1,3},{5},{2}] => {{1,3},{2},{4,6},{5}}
[1,5,1,6,3,3] => [3,3,6,1,5,1] => [{4,6},{1,2},{5},{3}] => {{1,2},{3},{4,6},{5}}
[1,5,3,1,3,6] => [6,3,1,3,5,1] => [{3,6},{2,4},{5},{1}] => {{1},{2,4},{3,6},{5}}
[1,5,3,1,6,3] => [3,6,1,3,5,1] => [{3,6},{1,4},{5},{2}] => {{1,4},{2},{3,6},{5}}
[1,5,3,3,1,6] => [6,1,3,3,5,1] => [{2,6},{3,4},{5},{1}] => {{1},{2,6},{3,4},{5}}
[1,5,3,3,6,1] => [1,6,3,3,5,1] => [{1,6},{3,4},{5},{2}] => {{1,6},{2},{3,4},{5}}
[1,5,3,6,1,3] => [3,1,6,3,5,1] => [{2,6},{1,4},{5},{3}] => {{1,4},{2,6},{3},{5}}
[1,5,3,6,3,1] => [1,3,6,3,5,1] => [{1,6},{2,4},{5},{3}] => {{1,6},{2,4},{3},{5}}
[1,5,6,1,3,3] => [3,3,1,6,5,1] => [{3,6},{1,2},{5},{4}] => {{1,2},{3,6},{4},{5}}
[1,5,6,3,1,3] => [3,1,3,6,5,1] => [{2,6},{1,3},{5},{4}] => {{1,3},{2,6},{4},{5}}
[1,5,6,3,3,1] => [1,3,3,6,5,1] => [{1,6},{2,3},{5},{4}] => {{1,6},{2,3},{4},{5}}
[1,6,1,3,3,5] => [5,3,3,1,6,1] => [{4,6},{2,3},{1},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,1,3,5,3] => [3,5,3,1,6,1] => [{4,6},{1,3},{2},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,5,3,3] => [3,3,5,1,6,1] => [{4,6},{1,2},{3},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,3,1,3,5] => [5,3,1,3,6,1] => [{3,6},{2,4},{1},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,3,1,5,3] => [3,5,1,3,6,1] => [{3,6},{1,4},{2},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,3,3,1,5] => [5,1,3,3,6,1] => [{2,6},{3,4},{1},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,3,3,5,1] => [1,5,3,3,6,1] => [{1,6},{3,4},{2},{5}] => {{1,6},{2},{3,4},{5}}
[1,6,3,5,1,3] => [3,1,5,3,6,1] => [{2,6},{1,4},{3},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,3,5,3,1] => [1,3,5,3,6,1] => [{1,6},{2,4},{3},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,5,1,3,3] => [3,3,1,5,6,1] => [{3,6},{1,2},{4},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,5,3,1,3] => [3,1,3,5,6,1] => [{2,6},{1,3},{4},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,5,3,3,1] => [1,3,3,5,6,1] => [{1,6},{2,3},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,1,1,3,5,6] => [6,5,3,1,1,3] => [{4,5},{3,6},{2},{1}] => {{1},{2},{3,6},{4,5}}
[3,1,1,3,6,5] => [5,6,3,1,1,3] => [{4,5},{3,6},{1},{2}] => {{1},{2},{3,6},{4,5}}
[3,1,1,5,3,6] => [6,3,5,1,1,3] => [{4,5},{2,6},{3},{1}] => {{1},{2,6},{3},{4,5}}
[3,1,1,5,6,3] => [3,6,5,1,1,3] => [{4,5},{1,6},{3},{2}] => {{1,6},{2},{3},{4,5}}
[3,1,1,6,3,5] => [5,3,6,1,1,3] => [{4,5},{2,6},{1},{3}] => {{1},{2,6},{3},{4,5}}
[3,1,1,6,5,3] => [3,5,6,1,1,3] => [{4,5},{1,6},{2},{3}] => {{1,6},{2},{3},{4,5}}
[3,1,3,1,5,6] => [6,5,1,3,1,3] => [{3,5},{4,6},{2},{1}] => {{1},{2},{3,5},{4,6}}
[3,1,3,1,6,5] => [5,6,1,3,1,3] => [{3,5},{4,6},{1},{2}] => {{1},{2},{3,5},{4,6}}
[3,1,3,5,1,6] => [6,1,5,3,1,3] => [{2,5},{4,6},{3},{1}] => {{1},{2,5},{3},{4,6}}
[3,1,3,5,6,1] => [1,6,5,3,1,3] => [{1,5},{4,6},{3},{2}] => {{1,5},{2},{3},{4,6}}
[3,1,3,6,1,5] => [5,1,6,3,1,3] => [{2,5},{4,6},{1},{3}] => {{1},{2,5},{3},{4,6}}
[3,1,3,6,5,1] => [1,5,6,3,1,3] => [{1,5},{4,6},{2},{3}] => {{1,5},{2},{3},{4,6}}
[3,1,5,1,3,6] => [6,3,1,5,1,3] => [{3,5},{2,6},{4},{1}] => {{1},{2,6},{3,5},{4}}
[3,1,5,1,6,3] => [3,6,1,5,1,3] => [{3,5},{1,6},{4},{2}] => {{1,6},{2},{3,5},{4}}
[3,1,5,3,1,6] => [6,1,3,5,1,3] => [{2,5},{3,6},{4},{1}] => {{1},{2,5},{3,6},{4}}
[3,1,5,3,6,1] => [1,6,3,5,1,3] => [{1,5},{3,6},{4},{2}] => {{1,5},{2},{3,6},{4}}
[3,1,5,6,1,3] => [3,1,6,5,1,3] => [{2,5},{1,6},{4},{3}] => {{1,6},{2,5},{3},{4}}
[3,1,5,6,3,1] => [1,3,6,5,1,3] => [{1,5},{2,6},{4},{3}] => {{1,5},{2,6},{3},{4}}
[3,1,6,1,3,5] => [5,3,1,6,1,3] => [{3,5},{2,6},{1},{4}] => {{1},{2,6},{3,5},{4}}
[3,1,6,1,5,3] => [3,5,1,6,1,3] => [{3,5},{1,6},{2},{4}] => {{1,6},{2},{3,5},{4}}
[3,1,6,3,1,5] => [5,1,3,6,1,3] => [{2,5},{3,6},{1},{4}] => {{1},{2,5},{3,6},{4}}
[3,1,6,3,5,1] => [1,5,3,6,1,3] => [{1,5},{3,6},{2},{4}] => {{1,5},{2},{3,6},{4}}
[3,1,6,5,1,3] => [3,1,5,6,1,3] => [{2,5},{1,6},{3},{4}] => {{1,6},{2,5},{3},{4}}
[3,1,6,5,3,1] => [1,3,5,6,1,3] => [{1,5},{2,6},{3},{4}] => {{1,5},{2,6},{3},{4}}
[3,3,1,1,5,6] => [6,5,1,1,3,3] => [{3,4},{5,6},{2},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,1,1,6,5] => [5,6,1,1,3,3] => [{3,4},{5,6},{1},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,1,5,1,6] => [6,1,5,1,3,3] => [{2,4},{5,6},{3},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,1,5,6,1] => [1,6,5,1,3,3] => [{1,4},{5,6},{3},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,1,6,1,5] => [5,1,6,1,3,3] => [{2,4},{5,6},{1},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,1,6,5,1] => [1,5,6,1,3,3] => [{1,4},{5,6},{2},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,5,1,1,6] => [6,1,1,5,3,3] => [{2,3},{5,6},{4},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,5,1,6,1] => [1,6,1,5,3,3] => [{1,3},{5,6},{4},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,5,6,1,1] => [1,1,6,5,3,3] => [{1,2},{5,6},{4},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,6,1,1,5] => [5,1,1,6,3,3] => [{2,3},{5,6},{1},{4}] => {{1},{2,3},{4},{5,6}}
[3,3,6,1,5,1] => [1,5,1,6,3,3] => [{1,3},{5,6},{2},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,6,5,1,1] => [1,1,5,6,3,3] => [{1,2},{5,6},{3},{4}] => {{1,2},{3},{4},{5,6}}
[3,5,1,1,3,6] => [6,3,1,1,5,3] => [{3,4},{2,6},{5},{1}] => {{1},{2,6},{3,4},{5}}
[3,5,1,1,6,3] => [3,6,1,1,5,3] => [{3,4},{1,6},{5},{2}] => {{1,6},{2},{3,4},{5}}
[3,5,1,3,1,6] => [6,1,3,1,5,3] => [{2,4},{3,6},{5},{1}] => {{1},{2,4},{3,6},{5}}
[3,5,1,3,6,1] => [1,6,3,1,5,3] => [{1,4},{3,6},{5},{2}] => {{1,4},{2},{3,6},{5}}
[3,5,1,6,1,3] => [3,1,6,1,5,3] => [{2,4},{1,6},{5},{3}] => {{1,6},{2,4},{3},{5}}
[3,5,1,6,3,1] => [1,3,6,1,5,3] => [{1,4},{2,6},{5},{3}] => {{1,4},{2,6},{3},{5}}
[3,5,3,1,1,6] => [6,1,1,3,5,3] => [{2,3},{4,6},{5},{1}] => {{1},{2,3},{4,6},{5}}
[3,5,3,1,6,1] => [1,6,1,3,5,3] => [{1,3},{4,6},{5},{2}] => {{1,3},{2},{4,6},{5}}
[3,5,3,6,1,1] => [1,1,6,3,5,3] => [{1,2},{4,6},{5},{3}] => {{1,2},{3},{4,6},{5}}
[3,5,6,1,1,3] => [3,1,1,6,5,3] => [{2,3},{1,6},{5},{4}] => {{1,6},{2,3},{4},{5}}
[3,5,6,1,3,1] => [1,3,1,6,5,3] => [{1,3},{2,6},{5},{4}] => {{1,3},{2,6},{4},{5}}
[3,5,6,3,1,1] => [1,1,3,6,5,3] => [{1,2},{3,6},{5},{4}] => {{1,2},{3,6},{4},{5}}
[3,6,1,1,3,5] => [5,3,1,1,6,3] => [{3,4},{2,6},{1},{5}] => {{1},{2,6},{3,4},{5}}
[3,6,1,1,5,3] => [3,5,1,1,6,3] => [{3,4},{1,6},{2},{5}] => {{1,6},{2},{3,4},{5}}
[3,6,1,3,1,5] => [5,1,3,1,6,3] => [{2,4},{3,6},{1},{5}] => {{1},{2,4},{3,6},{5}}
[3,6,1,3,5,1] => [1,5,3,1,6,3] => [{1,4},{3,6},{2},{5}] => {{1,4},{2},{3,6},{5}}
[3,6,1,5,1,3] => [3,1,5,1,6,3] => [{2,4},{1,6},{3},{5}] => {{1,6},{2,4},{3},{5}}
[3,6,1,5,3,1] => [1,3,5,1,6,3] => [{1,4},{2,6},{3},{5}] => {{1,4},{2,6},{3},{5}}
[3,6,3,1,1,5] => [5,1,1,3,6,3] => [{2,3},{4,6},{1},{5}] => {{1},{2,3},{4,6},{5}}
[3,6,3,1,5,1] => [1,5,1,3,6,3] => [{1,3},{4,6},{2},{5}] => {{1,3},{2},{4,6},{5}}
[3,6,3,5,1,1] => [1,1,5,3,6,3] => [{1,2},{4,6},{3},{5}] => {{1,2},{3},{4,6},{5}}
[3,6,5,1,1,3] => [3,1,1,5,6,3] => [{2,3},{1,6},{4},{5}] => {{1,6},{2,3},{4},{5}}
[3,6,5,1,3,1] => [1,3,1,5,6,3] => [{1,3},{2,6},{4},{5}] => {{1,3},{2,6},{4},{5}}
[3,6,5,3,1,1] => [1,1,3,5,6,3] => [{1,2},{3,6},{4},{5}] => {{1,2},{3,6},{4},{5}}
[5,1,1,3,3,6] => [6,3,3,1,1,5] => [{4,5},{2,3},{6},{1}] => {{1},{2,3},{4,5},{6}}
[5,1,1,3,6,3] => [3,6,3,1,1,5] => [{4,5},{1,3},{6},{2}] => {{1,3},{2},{4,5},{6}}
[5,1,1,6,3,3] => [3,3,6,1,1,5] => [{4,5},{1,2},{6},{3}] => {{1,2},{3},{4,5},{6}}
[5,1,3,1,3,6] => [6,3,1,3,1,5] => [{3,5},{2,4},{6},{1}] => {{1},{2,4},{3,5},{6}}
[5,1,3,1,6,3] => [3,6,1,3,1,5] => [{3,5},{1,4},{6},{2}] => {{1,4},{2},{3,5},{6}}
[5,1,3,3,1,6] => [6,1,3,3,1,5] => [{2,5},{3,4},{6},{1}] => {{1},{2,5},{3,4},{6}}
[5,1,3,3,6,1] => [1,6,3,3,1,5] => [{1,5},{3,4},{6},{2}] => {{1,5},{2},{3,4},{6}}
[5,1,3,6,1,3] => [3,1,6,3,1,5] => [{2,5},{1,4},{6},{3}] => {{1,4},{2,5},{3},{6}}
[5,1,3,6,3,1] => [1,3,6,3,1,5] => [{1,5},{2,4},{6},{3}] => {{1,5},{2,4},{3},{6}}
[5,1,6,1,3,3] => [3,3,1,6,1,5] => [{3,5},{1,2},{6},{4}] => {{1,2},{3,5},{4},{6}}
[5,1,6,3,1,3] => [3,1,3,6,1,5] => [{2,5},{1,3},{6},{4}] => {{1,3},{2,5},{4},{6}}
[5,1,6,3,3,1] => [1,3,3,6,1,5] => [{1,5},{2,3},{6},{4}] => {{1,5},{2,3},{4},{6}}
[5,3,1,1,3,6] => [6,3,1,1,3,5] => [{3,4},{2,5},{6},{1}] => {{1},{2,5},{3,4},{6}}
[5,3,1,1,6,3] => [3,6,1,1,3,5] => [{3,4},{1,5},{6},{2}] => {{1,5},{2},{3,4},{6}}
[5,3,1,3,1,6] => [6,1,3,1,3,5] => [{2,4},{3,5},{6},{1}] => {{1},{2,4},{3,5},{6}}
[5,3,1,3,6,1] => [1,6,3,1,3,5] => [{1,4},{3,5},{6},{2}] => {{1,4},{2},{3,5},{6}}
[5,3,1,6,1,3] => [3,1,6,1,3,5] => [{2,4},{1,5},{6},{3}] => {{1,5},{2,4},{3},{6}}
[5,3,1,6,3,1] => [1,3,6,1,3,5] => [{1,4},{2,5},{6},{3}] => {{1,4},{2,5},{3},{6}}
[5,3,3,1,1,6] => [6,1,1,3,3,5] => [{2,3},{4,5},{6},{1}] => {{1},{2,3},{4,5},{6}}
[5,3,3,1,6,1] => [1,6,1,3,3,5] => [{1,3},{4,5},{6},{2}] => {{1,3},{2},{4,5},{6}}
[5,3,3,6,1,1] => [1,1,6,3,3,5] => [{1,2},{4,5},{6},{3}] => {{1,2},{3},{4,5},{6}}
[5,3,6,1,1,3] => [3,1,1,6,3,5] => [{2,3},{1,5},{6},{4}] => {{1,5},{2,3},{4},{6}}
[5,3,6,1,3,1] => [1,3,1,6,3,5] => [{1,3},{2,5},{6},{4}] => {{1,3},{2,5},{4},{6}}
[5,3,6,3,1,1] => [1,1,3,6,3,5] => [{1,2},{3,5},{6},{4}] => {{1,2},{3,5},{4},{6}}
[5,6,1,1,3,3] => [3,3,1,1,6,5] => [{3,4},{1,2},{6},{5}] => {{1,2},{3,4},{5},{6}}
[5,6,1,3,1,3] => [3,1,3,1,6,5] => [{2,4},{1,3},{6},{5}] => {{1,3},{2,4},{5},{6}}
[5,6,1,3,3,1] => [1,3,3,1,6,5] => [{1,4},{2,3},{6},{5}] => {{1,4},{2,3},{5},{6}}
[5,6,3,1,1,3] => [3,1,1,3,6,5] => [{2,3},{1,4},{6},{5}] => {{1,4},{2,3},{5},{6}}
[5,6,3,1,3,1] => [1,3,1,3,6,5] => [{1,3},{2,4},{6},{5}] => {{1,3},{2,4},{5},{6}}
[5,6,3,3,1,1] => [1,1,3,3,6,5] => [{1,2},{3,4},{6},{5}] => {{1,2},{3,4},{5},{6}}
[6,1,1,3,3,5] => [5,3,3,1,1,6] => [{4,5},{2,3},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,1,3,5,3] => [3,5,3,1,1,6] => [{4,5},{1,3},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,5,3,3] => [3,3,5,1,1,6] => [{4,5},{1,2},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,3,1,3,5] => [5,3,1,3,1,6] => [{3,5},{2,4},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,3,1,5,3] => [3,5,1,3,1,6] => [{3,5},{1,4},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,3,3,1,5] => [5,1,3,3,1,6] => [{2,5},{3,4},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,3,3,5,1] => [1,5,3,3,1,6] => [{1,5},{3,4},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,1,3,5,1,3] => [3,1,5,3,1,6] => [{2,5},{1,4},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,3,5,3,1] => [1,3,5,3,1,6] => [{1,5},{2,4},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,5,1,3,3] => [3,3,1,5,1,6] => [{3,5},{1,2},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,5,3,1,3] => [3,1,3,5,1,6] => [{2,5},{1,3},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,5,3,3,1] => [1,3,3,5,1,6] => [{1,5},{2,3},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,1,1,3,5] => [5,3,1,1,3,6] => [{3,4},{2,5},{1},{6}] => {{1},{2,5},{3,4},{6}}
[6,3,1,1,5,3] => [3,5,1,1,3,6] => [{3,4},{1,5},{2},{6}] => {{1,5},{2},{3,4},{6}}
[6,3,1,3,1,5] => [5,1,3,1,3,6] => [{2,4},{3,5},{1},{6}] => {{1},{2,4},{3,5},{6}}
[6,3,1,3,5,1] => [1,5,3,1,3,6] => [{1,4},{3,5},{2},{6}] => {{1,4},{2},{3,5},{6}}
[6,3,1,5,1,3] => [3,1,5,1,3,6] => [{2,4},{1,5},{3},{6}] => {{1,5},{2,4},{3},{6}}
[6,3,1,5,3,1] => [1,3,5,1,3,6] => [{1,4},{2,5},{3},{6}] => {{1,4},{2,5},{3},{6}}
[6,3,3,1,1,5] => [5,1,1,3,3,6] => [{2,3},{4,5},{1},{6}] => {{1},{2,3},{4,5},{6}}
[6,3,3,1,5,1] => [1,5,1,3,3,6] => [{1,3},{4,5},{2},{6}] => {{1,3},{2},{4,5},{6}}
[6,3,3,5,1,1] => [1,1,5,3,3,6] => [{1,2},{4,5},{3},{6}] => {{1,2},{3},{4,5},{6}}
[6,3,5,1,1,3] => [3,1,1,5,3,6] => [{2,3},{1,5},{4},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,5,1,3,1] => [1,3,1,5,3,6] => [{1,3},{2,5},{4},{6}] => {{1,3},{2,5},{4},{6}}
[6,3,5,3,1,1] => [1,1,3,5,3,6] => [{1,2},{3,5},{4},{6}] => {{1,2},{3,5},{4},{6}}
[6,5,1,1,3,3] => [3,3,1,1,5,6] => [{3,4},{1,2},{5},{6}] => {{1,2},{3,4},{5},{6}}
[6,5,1,3,1,3] => [3,1,3,1,5,6] => [{2,4},{1,3},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,5,1,3,3,1] => [1,3,3,1,5,6] => [{1,4},{2,3},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,5,3,1,1,3] => [3,1,1,3,5,6] => [{2,3},{1,4},{5},{6}] => {{1,4},{2,3},{5},{6}}
[6,5,3,1,3,1] => [1,3,1,3,5,6] => [{1,3},{2,4},{5},{6}] => {{1,3},{2,4},{5},{6}}
[6,5,3,3,1,1] => [1,1,3,3,5,6] => [{1,2},{3,4},{5},{6}] => {{1,2},{3,4},{5},{6}}
[1,1,3,4,4,4] => [4,4,4,3,1,1] => [{5,6},{4},{1,2,3}] => {{1,2,3},{4},{5,6}}
[1,1,4,3,4,4] => [4,4,3,4,1,1] => [{5,6},{3},{1,2,4}] => {{1,2,4},{3},{5,6}}
[1,1,4,4,3,4] => [4,3,4,4,1,1] => [{5,6},{2},{1,3,4}] => {{1,3,4},{2},{5,6}}
[1,1,4,4,4,3] => [3,4,4,4,1,1] => [{5,6},{1},{2,3,4}] => {{1},{2,3,4},{5,6}}
[1,3,1,4,4,4] => [4,4,4,1,3,1] => [{4,6},{5},{1,2,3}] => {{1,2,3},{4,6},{5}}
[1,3,4,1,4,4] => [4,4,1,4,3,1] => [{3,6},{5},{1,2,4}] => {{1,2,4},{3,6},{5}}
[1,3,4,4,1,4] => [4,1,4,4,3,1] => [{2,6},{5},{1,3,4}] => {{1,3,4},{2,6},{5}}
[1,3,4,4,4,1] => [1,4,4,4,3,1] => [{1,6},{5},{2,3,4}] => {{1,6},{2,3,4},{5}}
[1,4,1,3,4,4] => [4,4,3,1,4,1] => [{4,6},{3},{1,2,5}] => {{1,2,5},{3},{4,6}}
[1,4,1,4,3,4] => [4,3,4,1,4,1] => [{4,6},{2},{1,3,5}] => {{1,3,5},{2},{4,6}}
[1,4,1,4,4,3] => [3,4,4,1,4,1] => [{4,6},{1},{2,3,5}] => {{1},{2,3,5},{4,6}}
[1,4,3,1,4,4] => [4,4,1,3,4,1] => [{3,6},{4},{1,2,5}] => {{1,2,5},{3,6},{4}}
[1,4,3,4,1,4] => [4,1,4,3,4,1] => [{2,6},{4},{1,3,5}] => {{1,3,5},{2,6},{4}}
[1,4,3,4,4,1] => [1,4,4,3,4,1] => [{1,6},{4},{2,3,5}] => {{1,6},{2,3,5},{4}}
[1,4,4,1,3,4] => [4,3,1,4,4,1] => [{3,6},{2},{1,4,5}] => {{1,4,5},{2},{3,6}}
[1,4,4,1,4,3] => [3,4,1,4,4,1] => [{3,6},{1},{2,4,5}] => {{1},{2,4,5},{3,6}}
[1,4,4,3,1,4] => [4,1,3,4,4,1] => [{2,6},{3},{1,4,5}] => {{1,4,5},{2,6},{3}}
[1,4,4,3,4,1] => [1,4,3,4,4,1] => [{1,6},{3},{2,4,5}] => {{1,6},{2,4,5},{3}}
[1,4,4,4,1,3] => [3,1,4,4,4,1] => [{2,6},{1},{3,4,5}] => {{1},{2,6},{3,4,5}}
[1,4,4,4,3,1] => [1,3,4,4,4,1] => [{1,6},{2},{3,4,5}] => {{1,6},{2},{3,4,5}}
[3,1,1,4,4,4] => [4,4,4,1,1,3] => [{4,5},{6},{1,2,3}] => {{1,2,3},{4,5},{6}}
[3,1,4,1,4,4] => [4,4,1,4,1,3] => [{3,5},{6},{1,2,4}] => {{1,2,4},{3,5},{6}}
[3,1,4,4,1,4] => [4,1,4,4,1,3] => [{2,5},{6},{1,3,4}] => {{1,3,4},{2,5},{6}}
[3,1,4,4,4,1] => [1,4,4,4,1,3] => [{1,5},{6},{2,3,4}] => {{1,5},{2,3,4},{6}}
[3,4,1,1,4,4] => [4,4,1,1,4,3] => [{3,4},{6},{1,2,5}] => {{1,2,5},{3,4},{6}}
[3,4,1,4,1,4] => [4,1,4,1,4,3] => [{2,4},{6},{1,3,5}] => {{1,3,5},{2,4},{6}}
[3,4,1,4,4,1] => [1,4,4,1,4,3] => [{1,4},{6},{2,3,5}] => {{1,4},{2,3,5},{6}}
[3,4,4,1,1,4] => [4,1,1,4,4,3] => [{2,3},{6},{1,4,5}] => {{1,4,5},{2,3},{6}}
[3,4,4,1,4,1] => [1,4,1,4,4,3] => [{1,3},{6},{2,4,5}] => {{1,3},{2,4,5},{6}}
[3,4,4,4,1,1] => [1,1,4,4,4,3] => [{1,2},{6},{3,4,5}] => {{1,2},{3,4,5},{6}}
[4,1,1,3,4,4] => [4,4,3,1,1,4] => [{4,5},{3},{1,2,6}] => {{1,2,6},{3},{4,5}}
[4,1,1,4,3,4] => [4,3,4,1,1,4] => [{4,5},{2},{1,3,6}] => {{1,3,6},{2},{4,5}}
[4,1,1,4,4,3] => [3,4,4,1,1,4] => [{4,5},{1},{2,3,6}] => {{1},{2,3,6},{4,5}}
[4,1,3,1,4,4] => [4,4,1,3,1,4] => [{3,5},{4},{1,2,6}] => {{1,2,6},{3,5},{4}}
[4,1,3,4,1,4] => [4,1,4,3,1,4] => [{2,5},{4},{1,3,6}] => {{1,3,6},{2,5},{4}}
[4,1,3,4,4,1] => [1,4,4,3,1,4] => [{1,5},{4},{2,3,6}] => {{1,5},{2,3,6},{4}}
[4,1,4,1,3,4] => [4,3,1,4,1,4] => [{3,5},{2},{1,4,6}] => {{1,4,6},{2},{3,5}}
[4,1,4,1,4,3] => [3,4,1,4,1,4] => [{3,5},{1},{2,4,6}] => {{1},{2,4,6},{3,5}}
[4,1,4,3,1,4] => [4,1,3,4,1,4] => [{2,5},{3},{1,4,6}] => {{1,4,6},{2,5},{3}}
[4,1,4,3,4,1] => [1,4,3,4,1,4] => [{1,5},{3},{2,4,6}] => {{1,5},{2,4,6},{3}}
[4,1,4,4,1,3] => [3,1,4,4,1,4] => [{2,5},{1},{3,4,6}] => {{1},{2,5},{3,4,6}}
[4,1,4,4,3,1] => [1,3,4,4,1,4] => [{1,5},{2},{3,4,6}] => {{1,5},{2},{3,4,6}}
[4,3,1,1,4,4] => [4,4,1,1,3,4] => [{3,4},{5},{1,2,6}] => {{1,2,6},{3,4},{5}}
[4,3,1,4,1,4] => [4,1,4,1,3,4] => [{2,4},{5},{1,3,6}] => {{1,3,6},{2,4},{5}}
[4,3,1,4,4,1] => [1,4,4,1,3,4] => [{1,4},{5},{2,3,6}] => {{1,4},{2,3,6},{5}}
[4,3,4,1,1,4] => [4,1,1,4,3,4] => [{2,3},{5},{1,4,6}] => {{1,4,6},{2,3},{5}}
[4,3,4,1,4,1] => [1,4,1,4,3,4] => [{1,3},{5},{2,4,6}] => {{1,3},{2,4,6},{5}}
[4,3,4,4,1,1] => [1,1,4,4,3,4] => [{1,2},{5},{3,4,6}] => {{1,2},{3,4,6},{5}}
[4,4,1,1,3,4] => [4,3,1,1,4,4] => [{3,4},{2},{1,5,6}] => {{1,5,6},{2},{3,4}}
[4,4,1,1,4,3] => [3,4,1,1,4,4] => [{3,4},{1},{2,5,6}] => {{1},{2,5,6},{3,4}}
[4,4,1,3,1,4] => [4,1,3,1,4,4] => [{2,4},{3},{1,5,6}] => {{1,5,6},{2,4},{3}}
[4,4,1,3,4,1] => [1,4,3,1,4,4] => [{1,4},{3},{2,5,6}] => {{1,4},{2,5,6},{3}}
[4,4,1,4,1,3] => [3,1,4,1,4,4] => [{2,4},{1},{3,5,6}] => {{1},{2,4},{3,5,6}}
[4,4,1,4,3,1] => [1,3,4,1,4,4] => [{1,4},{2},{3,5,6}] => {{1,4},{2},{3,5,6}}
[4,4,3,1,1,4] => [4,1,1,3,4,4] => [{2,3},{4},{1,5,6}] => {{1,5,6},{2,3},{4}}
[4,4,3,1,4,1] => [1,4,1,3,4,4] => [{1,3},{4},{2,5,6}] => {{1,3},{2,5,6},{4}}
[4,4,3,4,1,1] => [1,1,4,3,4,4] => [{1,2},{4},{3,5,6}] => {{1,2},{3,5,6},{4}}
[4,4,4,1,1,3] => [3,1,1,4,4,4] => [{2,3},{1},{4,5,6}] => {{1},{2,3},{4,5,6}}
[4,4,4,1,3,1] => [1,3,1,4,4,4] => [{1,3},{2},{4,5,6}] => {{1,3},{2},{4,5,6}}
[4,4,4,3,1,1] => [1,1,3,4,4,4] => [{1,2},{3},{4,5,6}] => {{1,2},{3},{4,5,6}}
[1,1,3,4,4,5] => [5,4,4,3,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,3,4,5,4] => [4,5,4,3,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,3,5,4,4] => [4,4,5,3,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,4,3,4,5] => [5,4,3,4,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,4,3,5,4] => [4,5,3,4,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,4,4,3,5] => [5,3,4,4,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,4,4,5,3] => [3,5,4,4,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,4,5,3,4] => [4,3,5,4,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,5,4,3] => [3,4,5,4,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,5,3,4,4] => [4,4,3,5,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,5,4,3,4] => [4,3,4,5,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,5,4,4,3] => [3,4,4,5,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,3,1,4,4,5] => [5,4,4,1,3,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,3,1,4,5,4] => [4,5,4,1,3,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,3,1,5,4,4] => [4,4,5,1,3,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,3,4,1,4,5] => [5,4,1,4,3,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,3,4,1,5,4] => [4,5,1,4,3,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,3,4,4,1,5] => [5,1,4,4,3,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,3,4,4,5,1] => [1,5,4,4,3,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,3,4,5,1,4] => [4,1,5,4,3,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,3,4,5,4,1] => [1,4,5,4,3,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,3,5,1,4,4] => [4,4,1,5,3,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,3,5,4,1,4] => [4,1,4,5,3,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,3,5,4,4,1] => [1,4,4,5,3,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,4,1,3,4,5] => [5,4,3,1,4,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,4,1,3,5,4] => [4,5,3,1,4,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,4,1,4,3,5] => [5,3,4,1,4,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,4,1,4,5,3] => [3,5,4,1,4,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,4,1,5,3,4] => [4,3,5,1,4,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,4,1,5,4,3] => [3,4,5,1,4,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,4,3,1,4,5] => [5,4,1,3,4,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,4,3,1,5,4] => [4,5,1,3,4,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,4,3,4,1,5] => [5,1,4,3,4,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,4,3,4,5,1] => [1,5,4,3,4,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,4,3,5,1,4] => [4,1,5,3,4,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,4,3,5,4,1] => [1,4,5,3,4,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,4,4,1,3,5] => [5,3,1,4,4,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,4,4,1,5,3] => [3,5,1,4,4,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,4,4,3,1,5] => [5,1,3,4,4,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,4,4,3,5,1] => [1,5,3,4,4,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,4,4,5,1,3] => [3,1,5,4,4,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,4,4,5,3,1] => [1,3,5,4,4,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,4,5,1,3,4] => [4,3,1,5,4,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,4,5,1,4,3] => [3,4,1,5,4,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,4,5,3,1,4] => [4,1,3,5,4,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,4,5,3,4,1] => [1,4,3,5,4,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,5,4,1,3] => [3,1,4,5,4,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,4,5,4,3,1] => [1,3,4,5,4,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,5,1,3,4,4] => [4,4,3,1,5,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,5,1,4,3,4] => [4,3,4,1,5,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,5,1,4,4,3] => [3,4,4,1,5,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,5,3,1,4,4] => [4,4,1,3,5,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,5,3,4,1,4] => [4,1,4,3,5,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,5,3,4,4,1] => [1,4,4,3,5,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,5,4,1,3,4] => [4,3,1,4,5,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,5,4,1,4,3] => [3,4,1,4,5,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,5,4,3,1,4] => [4,1,3,4,5,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,5,4,3,4,1] => [1,4,3,4,5,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,5,4,4,1,3] => [3,1,4,4,5,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,5,4,4,3,1] => [1,3,4,4,5,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[3,1,1,4,4,5] => [5,4,4,1,1,3] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[3,1,1,4,5,4] => [4,5,4,1,1,3] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[3,1,1,5,4,4] => [4,4,5,1,1,3] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[3,1,4,1,4,5] => [5,4,1,4,1,3] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[3,1,4,1,5,4] => [4,5,1,4,1,3] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[3,1,4,4,1,5] => [5,1,4,4,1,3] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[3,1,4,4,5,1] => [1,5,4,4,1,3] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[3,1,4,5,1,4] => [4,1,5,4,1,3] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[3,1,4,5,4,1] => [1,4,5,4,1,3] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[3,1,5,1,4,4] => [4,4,1,5,1,3] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[3,1,5,4,1,4] => [4,1,4,5,1,3] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[3,1,5,4,4,1] => [1,4,4,5,1,3] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[3,4,1,1,4,5] => [5,4,1,1,4,3] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[3,4,1,1,5,4] => [4,5,1,1,4,3] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[3,4,1,4,1,5] => [5,1,4,1,4,3] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[3,4,1,4,5,1] => [1,5,4,1,4,3] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[3,4,1,5,1,4] => [4,1,5,1,4,3] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[3,4,1,5,4,1] => [1,4,5,1,4,3] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[3,4,4,1,1,5] => [5,1,1,4,4,3] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[3,4,4,1,5,1] => [1,5,1,4,4,3] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[3,4,4,5,1,1] => [1,1,5,4,4,3] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[3,4,5,1,1,4] => [4,1,1,5,4,3] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[3,4,5,1,4,1] => [1,4,1,5,4,3] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[3,4,5,4,1,1] => [1,1,4,5,4,3] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[3,5,1,1,4,4] => [4,4,1,1,5,3] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[3,5,1,4,1,4] => [4,1,4,1,5,3] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[3,5,1,4,4,1] => [1,4,4,1,5,3] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[3,5,4,1,1,4] => [4,1,1,4,5,3] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[3,5,4,1,4,1] => [1,4,1,4,5,3] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[3,5,4,4,1,1] => [1,1,4,4,5,3] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[4,1,1,3,4,5] => [5,4,3,1,1,4] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,1,1,3,5,4] => [4,5,3,1,1,4] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,1,1,4,3,5] => [5,3,4,1,1,4] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,1,1,4,5,3] => [3,5,4,1,1,4] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,1,1,5,3,4] => [4,3,5,1,1,4] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,1,1,5,4,3] => [3,4,5,1,1,4] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,1,3,1,4,5] => [5,4,1,3,1,4] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,1,3,1,5,4] => [4,5,1,3,1,4] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,1,3,4,1,5] => [5,1,4,3,1,4] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,1,3,4,5,1] => [1,5,4,3,1,4] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,1,3,5,1,4] => [4,1,5,3,1,4] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,1,3,5,4,1] => [1,4,5,3,1,4] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,1,4,1,3,5] => [5,3,1,4,1,4] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,1,4,1,5,3] => [3,5,1,4,1,4] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,1,4,3,1,5] => [5,1,3,4,1,4] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,1,4,3,5,1] => [1,5,3,4,1,4] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,1,4,5,1,3] => [3,1,5,4,1,4] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,1,4,5,3,1] => [1,3,5,4,1,4] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,1,5,1,3,4] => [4,3,1,5,1,4] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,1,5,1,4,3] => [3,4,1,5,1,4] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,1,5,3,1,4] => [4,1,3,5,1,4] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,1,5,3,4,1] => [1,4,3,5,1,4] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,1,5,4,1,3] => [3,1,4,5,1,4] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,1,5,4,3,1] => [1,3,4,5,1,4] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,3,1,1,4,5] => [5,4,1,1,3,4] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,3,1,1,5,4] => [4,5,1,1,3,4] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,3,1,4,1,5] => [5,1,4,1,3,4] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,3,1,4,5,1] => [1,5,4,1,3,4] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,3,1,5,1,4] => [4,1,5,1,3,4] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,3,1,5,4,1] => [1,4,5,1,3,4] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,3,4,1,1,5] => [5,1,1,4,3,4] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,3,4,1,5,1] => [1,5,1,4,3,4] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,3,4,5,1,1] => [1,1,5,4,3,4] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,3,5,1,1,4] => [4,1,1,5,3,4] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,3,5,1,4,1] => [1,4,1,5,3,4] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,3,5,4,1,1] => [1,1,4,5,3,4] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,4,1,1,3,5] => [5,3,1,1,4,4] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,1,1,5,3] => [3,5,1,1,4,4] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,1,3,1,5] => [5,1,3,1,4,4] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,1,3,5,1] => [1,5,3,1,4,4] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,1,5,1,3] => [3,1,5,1,4,4] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,1,5,3,1] => [1,3,5,1,4,4] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,3,1,1,5] => [5,1,1,3,4,4] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,3,1,5,1] => [1,5,1,3,4,4] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,3,5,1,1] => [1,1,5,3,4,4] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,5,1,1,3] => [3,1,1,5,4,4] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,4,5,1,3,1] => [1,3,1,5,4,4] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,5,3,1,1] => [1,1,3,5,4,4] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,5,1,1,3,4] => [4,3,1,1,5,4] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,5,1,1,4,3] => [3,4,1,1,5,4] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,5,1,3,1,4] => [4,1,3,1,5,4] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,5,1,3,4,1] => [1,4,3,1,5,4] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,5,1,4,1,3] => [3,1,4,1,5,4] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,5,1,4,3,1] => [1,3,4,1,5,4] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,5,3,1,1,4] => [4,1,1,3,5,4] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,5,3,1,4,1] => [1,4,1,3,5,4] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,5,3,4,1,1] => [1,1,4,3,5,4] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,5,4,1,1,3] => [3,1,1,4,5,4] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[4,5,4,1,3,1] => [1,3,1,4,5,4] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,5,4,3,1,1] => [1,1,3,4,5,4] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[5,1,1,3,4,4] => [4,4,3,1,1,5] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[5,1,1,4,3,4] => [4,3,4,1,1,5] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[5,1,1,4,4,3] => [3,4,4,1,1,5] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[5,1,3,1,4,4] => [4,4,1,3,1,5] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[5,1,3,4,1,4] => [4,1,4,3,1,5] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[5,1,3,4,4,1] => [1,4,4,3,1,5] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[5,1,4,1,3,4] => [4,3,1,4,1,5] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[5,1,4,1,4,3] => [3,4,1,4,1,5] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[5,1,4,3,1,4] => [4,1,3,4,1,5] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[5,1,4,3,4,1] => [1,4,3,4,1,5] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[5,1,4,4,1,3] => [3,1,4,4,1,5] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[5,1,4,4,3,1] => [1,3,4,4,1,5] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[5,3,1,1,4,4] => [4,4,1,1,3,5] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[5,3,1,4,1,4] => [4,1,4,1,3,5] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[5,3,1,4,4,1] => [1,4,4,1,3,5] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[5,3,4,1,1,4] => [4,1,1,4,3,5] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[5,3,4,1,4,1] => [1,4,1,4,3,5] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[5,3,4,4,1,1] => [1,1,4,4,3,5] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[5,4,1,1,3,4] => [4,3,1,1,4,5] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[5,4,1,1,4,3] => [3,4,1,1,4,5] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[5,4,1,3,1,4] => [4,1,3,1,4,5] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[5,4,1,3,4,1] => [1,4,3,1,4,5] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[5,4,1,4,1,3] => [3,1,4,1,4,5] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[5,4,1,4,3,1] => [1,3,4,1,4,5] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[5,4,3,1,1,4] => [4,1,1,3,4,5] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[5,4,3,1,4,1] => [1,4,1,3,4,5] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[5,4,3,4,1,1] => [1,1,4,3,4,5] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[5,4,4,1,1,3] => [3,1,1,4,4,5] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[5,4,4,1,3,1] => [1,3,1,4,4,5] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[5,4,4,3,1,1] => [1,1,3,4,4,5] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,3,4,4,6] => [6,4,4,3,1,1] => [{5,6},{4},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[1,1,3,4,6,4] => [4,6,4,3,1,1] => [{5,6},{4},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[1,1,3,6,4,4] => [4,4,6,3,1,1] => [{5,6},{4},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[1,1,4,3,4,6] => [6,4,3,4,1,1] => [{5,6},{3},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[1,1,4,3,6,4] => [4,6,3,4,1,1] => [{5,6},{3},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[1,1,4,4,3,6] => [6,3,4,4,1,1] => [{5,6},{2},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[1,1,4,4,6,3] => [3,6,4,4,1,1] => [{5,6},{1},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[1,1,4,6,3,4] => [4,3,6,4,1,1] => [{5,6},{2},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[1,1,4,6,4,3] => [3,4,6,4,1,1] => [{5,6},{1},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[1,1,6,3,4,4] => [4,4,3,6,1,1] => [{5,6},{3},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[1,1,6,4,3,4] => [4,3,4,6,1,1] => [{5,6},{2},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[1,1,6,4,4,3] => [3,4,4,6,1,1] => [{5,6},{1},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[1,3,1,4,4,6] => [6,4,4,1,3,1] => [{4,6},{5},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[1,3,1,4,6,4] => [4,6,4,1,3,1] => [{4,6},{5},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[1,3,1,6,4,4] => [4,4,6,1,3,1] => [{4,6},{5},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[1,3,4,1,4,6] => [6,4,1,4,3,1] => [{3,6},{5},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[1,3,4,1,6,4] => [4,6,1,4,3,1] => [{3,6},{5},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[1,3,4,4,1,6] => [6,1,4,4,3,1] => [{2,6},{5},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[1,3,4,4,6,1] => [1,6,4,4,3,1] => [{1,6},{5},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[1,3,4,6,1,4] => [4,1,6,4,3,1] => [{2,6},{5},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[1,3,4,6,4,1] => [1,4,6,4,3,1] => [{1,6},{5},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[1,3,6,1,4,4] => [4,4,1,6,3,1] => [{3,6},{5},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[1,3,6,4,1,4] => [4,1,4,6,3,1] => [{2,6},{5},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[1,3,6,4,4,1] => [1,4,4,6,3,1] => [{1,6},{5},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[1,4,1,3,4,6] => [6,4,3,1,4,1] => [{4,6},{3},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[1,4,1,3,6,4] => [4,6,3,1,4,1] => [{4,6},{3},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[1,4,1,4,3,6] => [6,3,4,1,4,1] => [{4,6},{2},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[1,4,1,4,6,3] => [3,6,4,1,4,1] => [{4,6},{1},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[1,4,1,6,3,4] => [4,3,6,1,4,1] => [{4,6},{2},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[1,4,1,6,4,3] => [3,4,6,1,4,1] => [{4,6},{1},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[1,4,3,1,4,6] => [6,4,1,3,4,1] => [{3,6},{4},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[1,4,3,1,6,4] => [4,6,1,3,4,1] => [{3,6},{4},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[1,4,3,4,1,6] => [6,1,4,3,4,1] => [{2,6},{4},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[1,4,3,4,6,1] => [1,6,4,3,4,1] => [{1,6},{4},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[1,4,3,6,1,4] => [4,1,6,3,4,1] => [{2,6},{4},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[1,4,3,6,4,1] => [1,4,6,3,4,1] => [{1,6},{4},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[1,4,4,1,3,6] => [6,3,1,4,4,1] => [{3,6},{2},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[1,4,4,1,6,3] => [3,6,1,4,4,1] => [{3,6},{1},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[1,4,4,3,1,6] => [6,1,3,4,4,1] => [{2,6},{3},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[1,4,4,3,6,1] => [1,6,3,4,4,1] => [{1,6},{3},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[1,4,4,6,1,3] => [3,1,6,4,4,1] => [{2,6},{1},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[1,4,4,6,3,1] => [1,3,6,4,4,1] => [{1,6},{2},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[1,4,6,1,3,4] => [4,3,1,6,4,1] => [{3,6},{2},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[1,4,6,1,4,3] => [3,4,1,6,4,1] => [{3,6},{1},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[1,4,6,3,1,4] => [4,1,3,6,4,1] => [{2,6},{3},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[1,4,6,3,4,1] => [1,4,3,6,4,1] => [{1,6},{3},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[1,4,6,4,1,3] => [3,1,4,6,4,1] => [{2,6},{1},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[1,4,6,4,3,1] => [1,3,4,6,4,1] => [{1,6},{2},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[1,6,1,3,4,4] => [4,4,3,1,6,1] => [{4,6},{3},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[1,6,1,4,3,4] => [4,3,4,1,6,1] => [{4,6},{2},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[1,6,1,4,4,3] => [3,4,4,1,6,1] => [{4,6},{1},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[1,6,3,1,4,4] => [4,4,1,3,6,1] => [{3,6},{4},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[1,6,3,4,1,4] => [4,1,4,3,6,1] => [{2,6},{4},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[1,6,3,4,4,1] => [1,4,4,3,6,1] => [{1,6},{4},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[1,6,4,1,3,4] => [4,3,1,4,6,1] => [{3,6},{2},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[1,6,4,1,4,3] => [3,4,1,4,6,1] => [{3,6},{1},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[1,6,4,3,1,4] => [4,1,3,4,6,1] => [{2,6},{3},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[1,6,4,3,4,1] => [1,4,3,4,6,1] => [{1,6},{3},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[1,6,4,4,1,3] => [3,1,4,4,6,1] => [{2,6},{1},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[1,6,4,4,3,1] => [1,3,4,4,6,1] => [{1,6},{2},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[3,1,1,4,4,6] => [6,4,4,1,1,3] => [{4,5},{6},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[3,1,1,4,6,4] => [4,6,4,1,1,3] => [{4,5},{6},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[3,1,1,6,4,4] => [4,4,6,1,1,3] => [{4,5},{6},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[3,1,4,1,4,6] => [6,4,1,4,1,3] => [{3,5},{6},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[3,1,4,1,6,4] => [4,6,1,4,1,3] => [{3,5},{6},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[3,1,4,4,1,6] => [6,1,4,4,1,3] => [{2,5},{6},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[3,1,4,4,6,1] => [1,6,4,4,1,3] => [{1,5},{6},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[3,1,4,6,1,4] => [4,1,6,4,1,3] => [{2,5},{6},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[3,1,4,6,4,1] => [1,4,6,4,1,3] => [{1,5},{6},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[3,1,6,1,4,4] => [4,4,1,6,1,3] => [{3,5},{6},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[3,1,6,4,1,4] => [4,1,4,6,1,3] => [{2,5},{6},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[3,1,6,4,4,1] => [1,4,4,6,1,3] => [{1,5},{6},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[3,4,1,1,4,6] => [6,4,1,1,4,3] => [{3,4},{6},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[3,4,1,1,6,4] => [4,6,1,1,4,3] => [{3,4},{6},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[3,4,1,4,1,6] => [6,1,4,1,4,3] => [{2,4},{6},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[3,4,1,4,6,1] => [1,6,4,1,4,3] => [{1,4},{6},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[3,4,1,6,1,4] => [4,1,6,1,4,3] => [{2,4},{6},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[3,4,1,6,4,1] => [1,4,6,1,4,3] => [{1,4},{6},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[3,4,4,1,1,6] => [6,1,1,4,4,3] => [{2,3},{6},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[3,4,4,1,6,1] => [1,6,1,4,4,3] => [{1,3},{6},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[3,4,4,6,1,1] => [1,1,6,4,4,3] => [{1,2},{6},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[3,4,6,1,1,4] => [4,1,1,6,4,3] => [{2,3},{6},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[3,4,6,1,4,1] => [1,4,1,6,4,3] => [{1,3},{6},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[3,4,6,4,1,1] => [1,1,4,6,4,3] => [{1,2},{6},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[3,6,1,1,4,4] => [4,4,1,1,6,3] => [{3,4},{6},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[3,6,1,4,1,4] => [4,1,4,1,6,3] => [{2,4},{6},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[3,6,1,4,4,1] => [1,4,4,1,6,3] => [{1,4},{6},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[3,6,4,1,1,4] => [4,1,1,4,6,3] => [{2,3},{6},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[3,6,4,1,4,1] => [1,4,1,4,6,3] => [{1,3},{6},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[3,6,4,4,1,1] => [1,1,4,4,6,3] => [{1,2},{6},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[4,1,1,3,4,6] => [6,4,3,1,1,4] => [{4,5},{3},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,1,1,3,6,4] => [4,6,3,1,1,4] => [{4,5},{3},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,1,1,4,3,6] => [6,3,4,1,1,4] => [{4,5},{2},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,1,1,4,6,3] => [3,6,4,1,1,4] => [{4,5},{1},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,1,1,6,3,4] => [4,3,6,1,1,4] => [{4,5},{2},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,1,1,6,4,3] => [3,4,6,1,1,4] => [{4,5},{1},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,1,3,1,4,6] => [6,4,1,3,1,4] => [{3,5},{4},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,1,3,1,6,4] => [4,6,1,3,1,4] => [{3,5},{4},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,1,3,4,1,6] => [6,1,4,3,1,4] => [{2,5},{4},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,1,3,4,6,1] => [1,6,4,3,1,4] => [{1,5},{4},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,1,3,6,1,4] => [4,1,6,3,1,4] => [{2,5},{4},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,1,3,6,4,1] => [1,4,6,3,1,4] => [{1,5},{4},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,1,4,1,3,6] => [6,3,1,4,1,4] => [{3,5},{2},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,1,4,1,6,3] => [3,6,1,4,1,4] => [{3,5},{1},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,1,4,3,1,6] => [6,1,3,4,1,4] => [{2,5},{3},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,1,4,3,6,1] => [1,6,3,4,1,4] => [{1,5},{3},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,1,4,6,1,3] => [3,1,6,4,1,4] => [{2,5},{1},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,1,4,6,3,1] => [1,3,6,4,1,4] => [{1,5},{2},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,1,6,1,3,4] => [4,3,1,6,1,4] => [{3,5},{2},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,1,6,1,4,3] => [3,4,1,6,1,4] => [{3,5},{1},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,1,6,3,1,4] => [4,1,3,6,1,4] => [{2,5},{3},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,1,6,3,4,1] => [1,4,3,6,1,4] => [{1,5},{3},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,1,6,4,1,3] => [3,1,4,6,1,4] => [{2,5},{1},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,1,6,4,3,1] => [1,3,4,6,1,4] => [{1,5},{2},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,3,1,1,4,6] => [6,4,1,1,3,4] => [{3,4},{5},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,3,1,1,6,4] => [4,6,1,1,3,4] => [{3,4},{5},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,3,1,4,1,6] => [6,1,4,1,3,4] => [{2,4},{5},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,3,1,4,6,1] => [1,6,4,1,3,4] => [{1,4},{5},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,3,1,6,1,4] => [4,1,6,1,3,4] => [{2,4},{5},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,3,1,6,4,1] => [1,4,6,1,3,4] => [{1,4},{5},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,3,4,1,1,6] => [6,1,1,4,3,4] => [{2,3},{5},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,3,4,1,6,1] => [1,6,1,4,3,4] => [{1,3},{5},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,3,4,6,1,1] => [1,1,6,4,3,4] => [{1,2},{5},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,3,6,1,1,4] => [4,1,1,6,3,4] => [{2,3},{5},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,3,6,1,4,1] => [1,4,1,6,3,4] => [{1,3},{5},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,3,6,4,1,1] => [1,1,4,6,3,4] => [{1,2},{5},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,4,1,1,3,6] => [6,3,1,1,4,4] => [{3,4},{2},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,1,1,6,3] => [3,6,1,1,4,4] => [{3,4},{1},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,1,3,1,6] => [6,1,3,1,4,4] => [{2,4},{3},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,1,3,6,1] => [1,6,3,1,4,4] => [{1,4},{3},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,1,6,1,3] => [3,1,6,1,4,4] => [{2,4},{1},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,1,6,3,1] => [1,3,6,1,4,4] => [{1,4},{2},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,3,1,1,6] => [6,1,1,3,4,4] => [{2,3},{4},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,3,1,6,1] => [1,6,1,3,4,4] => [{1,3},{4},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,3,6,1,1] => [1,1,6,3,4,4] => [{1,2},{4},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,6,1,1,3] => [3,1,1,6,4,4] => [{2,3},{1},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,4,6,1,3,1] => [1,3,1,6,4,4] => [{1,3},{2},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,6,3,1,1] => [1,1,3,6,4,4] => [{1,2},{3},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,6,1,1,3,4] => [4,3,1,1,6,4] => [{3,4},{2},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,6,1,1,4,3] => [3,4,1,1,6,4] => [{3,4},{1},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,6,1,3,1,4] => [4,1,3,1,6,4] => [{2,4},{3},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,6,1,3,4,1] => [1,4,3,1,6,4] => [{1,4},{3},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,6,1,4,1,3] => [3,1,4,1,6,4] => [{2,4},{1},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,6,1,4,3,1] => [1,3,4,1,6,4] => [{1,4},{2},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,6,3,1,1,4] => [4,1,1,3,6,4] => [{2,3},{4},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,6,3,1,4,1] => [1,4,1,3,6,4] => [{1,3},{4},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,6,3,4,1,1] => [1,1,4,3,6,4] => [{1,2},{4},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,6,4,1,1,3] => [3,1,1,4,6,4] => [{2,3},{1},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[4,6,4,1,3,1] => [1,3,1,4,6,4] => [{1,3},{2},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,6,4,3,1,1] => [1,1,3,4,6,4] => [{1,2},{3},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[6,1,1,3,4,4] => [4,4,3,1,1,6] => [{4,5},{3},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[6,1,1,4,3,4] => [4,3,4,1,1,6] => [{4,5},{2},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[6,1,1,4,4,3] => [3,4,4,1,1,6] => [{4,5},{1},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[6,1,3,1,4,4] => [4,4,1,3,1,6] => [{3,5},{4},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[6,1,3,4,1,4] => [4,1,4,3,1,6] => [{2,5},{4},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[6,1,3,4,4,1] => [1,4,4,3,1,6] => [{1,5},{4},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[6,1,4,1,3,4] => [4,3,1,4,1,6] => [{3,5},{2},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[6,1,4,1,4,3] => [3,4,1,4,1,6] => [{3,5},{1},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[6,1,4,3,1,4] => [4,1,3,4,1,6] => [{2,5},{3},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[6,1,4,3,4,1] => [1,4,3,4,1,6] => [{1,5},{3},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[6,1,4,4,1,3] => [3,1,4,4,1,6] => [{2,5},{1},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[6,1,4,4,3,1] => [1,3,4,4,1,6] => [{1,5},{2},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[6,3,1,1,4,4] => [4,4,1,1,3,6] => [{3,4},{5},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[6,3,1,4,1,4] => [4,1,4,1,3,6] => [{2,4},{5},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[6,3,1,4,4,1] => [1,4,4,1,3,6] => [{1,4},{5},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[6,3,4,1,1,4] => [4,1,1,4,3,6] => [{2,3},{5},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[6,3,4,1,4,1] => [1,4,1,4,3,6] => [{1,3},{5},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[6,3,4,4,1,1] => [1,1,4,4,3,6] => [{1,2},{5},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[6,4,1,1,3,4] => [4,3,1,1,4,6] => [{3,4},{2},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[6,4,1,1,4,3] => [3,4,1,1,4,6] => [{3,4},{1},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[6,4,1,3,1,4] => [4,1,3,1,4,6] => [{2,4},{3},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[6,4,1,3,4,1] => [1,4,3,1,4,6] => [{1,4},{3},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[6,4,1,4,1,3] => [3,1,4,1,4,6] => [{2,4},{1},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[6,4,1,4,3,1] => [1,3,4,1,4,6] => [{1,4},{2},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[6,4,3,1,1,4] => [4,1,1,3,4,6] => [{2,3},{4},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[6,4,3,1,4,1] => [1,4,1,3,4,6] => [{1,3},{4},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[6,4,3,4,1,1] => [1,1,4,3,4,6] => [{1,2},{4},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[6,4,4,1,1,3] => [3,1,1,4,4,6] => [{2,3},{1},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[6,4,4,1,3,1] => [1,3,1,4,4,6] => [{1,3},{2},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[6,4,4,3,1,1] => [1,1,3,4,4,6] => [{1,2},{3},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[1,1,3,4,5,5] => [5,5,4,3,1,1] => [{5,6},{4},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,3,5,4,5] => [5,4,5,3,1,1] => [{5,6},{4},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,3,5,5,4] => [4,5,5,3,1,1] => [{5,6},{4},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,4,3,5,5] => [5,5,3,4,1,1] => [{5,6},{3},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[1,1,4,5,3,5] => [5,3,5,4,1,1] => [{5,6},{2},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[1,1,4,5,5,3] => [3,5,5,4,1,1] => [{5,6},{1},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[1,1,5,3,4,5] => [5,4,3,5,1,1] => [{5,6},{3},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,3,5,4] => [4,5,3,5,1,1] => [{5,6},{3},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,4,3,5] => [5,3,4,5,1,1] => [{5,6},{2},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[1,1,5,4,5,3] => [3,5,4,5,1,1] => [{5,6},{1},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[1,1,5,5,3,4] => [4,3,5,5,1,1] => [{5,6},{2},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,1,5,5,4,3] => [3,4,5,5,1,1] => [{5,6},{1},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[1,3,1,4,5,5] => [5,5,4,1,3,1] => [{4,6},{5},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,3,1,5,4,5] => [5,4,5,1,3,1] => [{4,6},{5},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,3,1,5,5,4] => [4,5,5,1,3,1] => [{4,6},{5},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,3,4,1,5,5] => [5,5,1,4,3,1] => [{3,6},{5},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,3,4,5,1,5] => [5,1,5,4,3,1] => [{2,6},{5},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,3,4,5,5,1] => [1,5,5,4,3,1] => [{1,6},{5},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,3,5,1,4,5] => [5,4,1,5,3,1] => [{3,6},{5},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,3,5,1,5,4] => [4,5,1,5,3,1] => [{3,6},{5},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,3,5,4,1,5] => [5,1,4,5,3,1] => [{2,6},{5},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,3,5,4,5,1] => [1,5,4,5,3,1] => [{1,6},{5},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,3,5,5,1,4] => [4,1,5,5,3,1] => [{2,6},{5},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,3,5,5,4,1] => [1,4,5,5,3,1] => [{1,6},{5},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,4,1,3,5,5] => [5,5,3,1,4,1] => [{4,6},{3},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[1,4,1,5,3,5] => [5,3,5,1,4,1] => [{4,6},{2},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[1,4,1,5,5,3] => [3,5,5,1,4,1] => [{4,6},{1},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[1,4,3,1,5,5] => [5,5,1,3,4,1] => [{3,6},{4},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[1,4,3,5,1,5] => [5,1,5,3,4,1] => [{2,6},{4},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[1,4,3,5,5,1] => [1,5,5,3,4,1] => [{1,6},{4},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[1,4,5,1,3,5] => [5,3,1,5,4,1] => [{3,6},{2},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[1,4,5,1,5,3] => [3,5,1,5,4,1] => [{3,6},{1},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[1,4,5,3,1,5] => [5,1,3,5,4,1] => [{2,6},{3},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[1,4,5,3,5,1] => [1,5,3,5,4,1] => [{1,6},{3},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[1,4,5,5,1,3] => [3,1,5,5,4,1] => [{2,6},{1},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[1,4,5,5,3,1] => [1,3,5,5,4,1] => [{1,6},{2},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[1,5,1,3,4,5] => [5,4,3,1,5,1] => [{4,6},{3},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,3,5,4] => [4,5,3,1,5,1] => [{4,6},{3},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,4,3,5] => [5,3,4,1,5,1] => [{4,6},{2},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[1,5,1,4,5,3] => [3,5,4,1,5,1] => [{4,6},{1},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[1,5,1,5,3,4] => [4,3,5,1,5,1] => [{4,6},{2},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,1,5,4,3] => [3,4,5,1,5,1] => [{4,6},{1},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[1,5,3,1,4,5] => [5,4,1,3,5,1] => [{3,6},{4},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,3,1,5,4] => [4,5,1,3,5,1] => [{3,6},{4},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,3,4,1,5] => [5,1,4,3,5,1] => [{2,6},{4},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,3,4,5,1] => [1,5,4,3,5,1] => [{1,6},{4},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,3,5,1,4] => [4,1,5,3,5,1] => [{2,6},{4},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,3,5,4,1] => [1,4,5,3,5,1] => [{1,6},{4},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,4,1,3,5] => [5,3,1,4,5,1] => [{3,6},{2},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[1,5,4,1,5,3] => [3,5,1,4,5,1] => [{3,6},{1},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[1,5,4,3,1,5] => [5,1,3,4,5,1] => [{2,6},{3},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[1,5,4,3,5,1] => [1,5,3,4,5,1] => [{1,6},{3},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[1,5,4,5,1,3] => [3,1,5,4,5,1] => [{2,6},{1},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[1,5,4,5,3,1] => [1,3,5,4,5,1] => [{1,6},{2},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[1,5,5,1,3,4] => [4,3,1,5,5,1] => [{3,6},{2},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,1,4,3] => [3,4,1,5,5,1] => [{3,6},{1},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[1,5,5,3,1,4] => [4,1,3,5,5,1] => [{2,6},{3},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,3,4,1] => [1,4,3,5,5,1] => [{1,6},{3},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[1,5,5,4,1,3] => [3,1,4,5,5,1] => [{2,6},{1},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[1,5,5,4,3,1] => [1,3,4,5,5,1] => [{1,6},{2},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[3,1,1,4,5,5] => [5,5,4,1,1,3] => [{4,5},{6},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[3,1,1,5,4,5] => [5,4,5,1,1,3] => [{4,5},{6},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[3,1,1,5,5,4] => [4,5,5,1,1,3] => [{4,5},{6},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[3,1,4,1,5,5] => [5,5,1,4,1,3] => [{3,5},{6},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[3,1,4,5,1,5] => [5,1,5,4,1,3] => [{2,5},{6},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[3,1,4,5,5,1] => [1,5,5,4,1,3] => [{1,5},{6},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[3,1,5,1,4,5] => [5,4,1,5,1,3] => [{3,5},{6},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[3,1,5,1,5,4] => [4,5,1,5,1,3] => [{3,5},{6},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[3,1,5,4,1,5] => [5,1,4,5,1,3] => [{2,5},{6},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[3,1,5,4,5,1] => [1,5,4,5,1,3] => [{1,5},{6},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[3,1,5,5,1,4] => [4,1,5,5,1,3] => [{2,5},{6},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[3,1,5,5,4,1] => [1,4,5,5,1,3] => [{1,5},{6},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[3,4,1,1,5,5] => [5,5,1,1,4,3] => [{3,4},{6},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[3,4,1,5,1,5] => [5,1,5,1,4,3] => [{2,4},{6},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[3,4,1,5,5,1] => [1,5,5,1,4,3] => [{1,4},{6},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[3,4,5,1,1,5] => [5,1,1,5,4,3] => [{2,3},{6},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[3,4,5,1,5,1] => [1,5,1,5,4,3] => [{1,3},{6},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[3,4,5,5,1,1] => [1,1,5,5,4,3] => [{1,2},{6},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[3,5,1,1,4,5] => [5,4,1,1,5,3] => [{3,4},{6},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[3,5,1,1,5,4] => [4,5,1,1,5,3] => [{3,4},{6},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[3,5,1,4,1,5] => [5,1,4,1,5,3] => [{2,4},{6},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[3,5,1,4,5,1] => [1,5,4,1,5,3] => [{1,4},{6},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[3,5,1,5,1,4] => [4,1,5,1,5,3] => [{2,4},{6},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[3,5,1,5,4,1] => [1,4,5,1,5,3] => [{1,4},{6},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[3,5,4,1,1,5] => [5,1,1,4,5,3] => [{2,3},{6},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[3,5,4,1,5,1] => [1,5,1,4,5,3] => [{1,3},{6},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[3,5,4,5,1,1] => [1,1,5,4,5,3] => [{1,2},{6},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[3,5,5,1,1,4] => [4,1,1,5,5,3] => [{2,3},{6},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[3,5,5,1,4,1] => [1,4,1,5,5,3] => [{1,3},{6},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[3,5,5,4,1,1] => [1,1,4,5,5,3] => [{1,2},{6},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[4,1,1,3,5,5] => [5,5,3,1,1,4] => [{4,5},{3},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[4,1,1,5,3,5] => [5,3,5,1,1,4] => [{4,5},{2},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[4,1,1,5,5,3] => [3,5,5,1,1,4] => [{4,5},{1},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[4,1,3,1,5,5] => [5,5,1,3,1,4] => [{3,5},{4},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[4,1,3,5,1,5] => [5,1,5,3,1,4] => [{2,5},{4},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[4,1,3,5,5,1] => [1,5,5,3,1,4] => [{1,5},{4},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[4,1,5,1,3,5] => [5,3,1,5,1,4] => [{3,5},{2},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[4,1,5,1,5,3] => [3,5,1,5,1,4] => [{3,5},{1},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[4,1,5,3,1,5] => [5,1,3,5,1,4] => [{2,5},{3},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[4,1,5,3,5,1] => [1,5,3,5,1,4] => [{1,5},{3},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[4,1,5,5,1,3] => [3,1,5,5,1,4] => [{2,5},{1},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[4,1,5,5,3,1] => [1,3,5,5,1,4] => [{1,5},{2},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[4,3,1,1,5,5] => [5,5,1,1,3,4] => [{3,4},{5},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[4,3,1,5,1,5] => [5,1,5,1,3,4] => [{2,4},{5},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[4,3,1,5,5,1] => [1,5,5,1,3,4] => [{1,4},{5},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[4,3,5,1,1,5] => [5,1,1,5,3,4] => [{2,3},{5},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[4,3,5,1,5,1] => [1,5,1,5,3,4] => [{1,3},{5},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[4,3,5,5,1,1] => [1,1,5,5,3,4] => [{1,2},{5},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[4,5,1,1,3,5] => [5,3,1,1,5,4] => [{3,4},{2},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[4,5,1,1,5,3] => [3,5,1,1,5,4] => [{3,4},{1},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[4,5,1,3,1,5] => [5,1,3,1,5,4] => [{2,4},{3},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[4,5,1,3,5,1] => [1,5,3,1,5,4] => [{1,4},{3},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[4,5,1,5,1,3] => [3,1,5,1,5,4] => [{2,4},{1},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[4,5,1,5,3,1] => [1,3,5,1,5,4] => [{1,4},{2},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[4,5,3,1,1,5] => [5,1,1,3,5,4] => [{2,3},{4},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[4,5,3,1,5,1] => [1,5,1,3,5,4] => [{1,3},{4},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[4,5,3,5,1,1] => [1,1,5,3,5,4] => [{1,2},{4},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[4,5,5,1,1,3] => [3,1,1,5,5,4] => [{2,3},{1},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[4,5,5,1,3,1] => [1,3,1,5,5,4] => [{1,3},{2},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[4,5,5,3,1,1] => [1,1,3,5,5,4] => [{1,2},{3},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[5,1,1,3,4,5] => [5,4,3,1,1,5] => [{4,5},{3},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,3,5,4] => [4,5,3,1,1,5] => [{4,5},{3},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,4,3,5] => [5,3,4,1,1,5] => [{4,5},{2},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,1,1,4,5,3] => [3,5,4,1,1,5] => [{4,5},{1},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,1,1,5,3,4] => [4,3,5,1,1,5] => [{4,5},{2},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,1,5,4,3] => [3,4,5,1,1,5] => [{4,5},{1},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,1,3,1,4,5] => [5,4,1,3,1,5] => [{3,5},{4},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,3,1,5,4] => [4,5,1,3,1,5] => [{3,5},{4},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,3,4,1,5] => [5,1,4,3,1,5] => [{2,5},{4},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,3,4,5,1] => [1,5,4,3,1,5] => [{1,5},{4},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,3,5,1,4] => [4,1,5,3,1,5] => [{2,5},{4},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,3,5,4,1] => [1,4,5,3,1,5] => [{1,5},{4},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,4,1,3,5] => [5,3,1,4,1,5] => [{3,5},{2},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,1,4,1,5,3] => [3,5,1,4,1,5] => [{3,5},{1},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,1,4,3,1,5] => [5,1,3,4,1,5] => [{2,5},{3},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,1,4,3,5,1] => [1,5,3,4,1,5] => [{1,5},{3},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,1,4,5,1,3] => [3,1,5,4,1,5] => [{2,5},{1},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,1,4,5,3,1] => [1,3,5,4,1,5] => [{1,5},{2},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,1,5,1,3,4] => [4,3,1,5,1,5] => [{3,5},{2},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,1,4,3] => [3,4,1,5,1,5] => [{3,5},{1},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,1,5,3,1,4] => [4,1,3,5,1,5] => [{2,5},{3},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,3,4,1] => [1,4,3,5,1,5] => [{1,5},{3},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,1,5,4,1,3] => [3,1,4,5,1,5] => [{2,5},{1},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,1,5,4,3,1] => [1,3,4,5,1,5] => [{1,5},{2},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,3,1,1,4,5] => [5,4,1,1,3,5] => [{3,4},{5},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,3,1,1,5,4] => [4,5,1,1,3,5] => [{3,4},{5},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,3,1,4,1,5] => [5,1,4,1,3,5] => [{2,4},{5},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,3,1,4,5,1] => [1,5,4,1,3,5] => [{1,4},{5},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,3,1,5,1,4] => [4,1,5,1,3,5] => [{2,4},{5},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,3,1,5,4,1] => [1,4,5,1,3,5] => [{1,4},{5},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,3,4,1,1,5] => [5,1,1,4,3,5] => [{2,3},{5},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,3,4,1,5,1] => [1,5,1,4,3,5] => [{1,3},{5},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,3,4,5,1,1] => [1,1,5,4,3,5] => [{1,2},{5},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,3,5,1,1,4] => [4,1,1,5,3,5] => [{2,3},{5},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,3,5,1,4,1] => [1,4,1,5,3,5] => [{1,3},{5},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,3,5,4,1,1] => [1,1,4,5,3,5] => [{1,2},{5},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,4,1,1,3,5] => [5,3,1,1,4,5] => [{3,4},{2},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,4,1,1,5,3] => [3,5,1,1,4,5] => [{3,4},{1},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,4,1,3,1,5] => [5,1,3,1,4,5] => [{2,4},{3},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,4,1,3,5,1] => [1,5,3,1,4,5] => [{1,4},{3},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,4,1,5,1,3] => [3,1,5,1,4,5] => [{2,4},{1},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,4,1,5,3,1] => [1,3,5,1,4,5] => [{1,4},{2},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,4,3,1,1,5] => [5,1,1,3,4,5] => [{2,3},{4},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,4,3,1,5,1] => [1,5,1,3,4,5] => [{1,3},{4},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,4,3,5,1,1] => [1,1,5,3,4,5] => [{1,2},{4},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,4,5,1,1,3] => [3,1,1,5,4,5] => [{2,3},{1},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,4,5,1,3,1] => [1,3,1,5,4,5] => [{1,3},{2},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,4,5,3,1,1] => [1,1,3,5,4,5] => [{1,2},{3},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,5,1,1,3,4] => [4,3,1,1,5,5] => [{3,4},{2},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,1,4,3] => [3,4,1,1,5,5] => [{3,4},{1},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,1,3,1,4] => [4,1,3,1,5,5] => [{2,4},{3},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,3,4,1] => [1,4,3,1,5,5] => [{1,4},{3},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,1,4,1,3] => [3,1,4,1,5,5] => [{2,4},{1},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,1,4,3,1] => [1,3,4,1,5,5] => [{1,4},{2},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,3,1,1,4] => [4,1,1,3,5,5] => [{2,3},{4},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,3,1,4,1] => [1,4,1,3,5,5] => [{1,3},{4},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,3,4,1,1] => [1,1,4,3,5,5] => [{1,2},{4},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,4,1,1,3] => [3,1,1,4,5,5] => [{2,3},{1},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,4,1,3,1] => [1,3,1,4,5,5] => [{1,3},{2},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,4,3,1,1] => [1,1,3,4,5,5] => [{1,2},{3},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[1,1,3,4,5,6] => [6,5,4,3,1,1] => [{5,6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,4,6,5] => [5,6,4,3,1,1] => [{5,6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,4,6] => [6,4,5,3,1,1] => [{5,6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,5,6,4] => [4,6,5,3,1,1] => [{5,6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,4,5] => [5,4,6,3,1,1] => [{5,6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,3,6,5,4] => [4,5,6,3,1,1] => [{5,6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,5,6] => [6,5,3,4,1,1] => [{5,6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,3,6,5] => [5,6,3,4,1,1] => [{5,6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,3,6] => [6,3,5,4,1,1] => [{5,6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,5,6,3] => [3,6,5,4,1,1] => [{5,6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,3,5] => [5,3,6,4,1,1] => [{5,6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,4,6,5,3] => [3,5,6,4,1,1] => [{5,6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,4,6] => [6,4,3,5,1,1] => [{5,6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,3,6,4] => [4,6,3,5,1,1] => [{5,6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,3,6] => [6,3,4,5,1,1] => [{5,6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,4,6,3] => [3,6,4,5,1,1] => [{5,6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,3,4] => [4,3,6,5,1,1] => [{5,6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,5,6,4,3] => [3,4,6,5,1,1] => [{5,6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,4,5] => [5,4,3,6,1,1] => [{5,6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,3,5,4] => [4,5,3,6,1,1] => [{5,6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,3,5] => [5,3,4,6,1,1] => [{5,6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,4,5,3] => [3,5,4,6,1,1] => [{5,6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,3,4] => [4,3,5,6,1,1] => [{5,6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,1,6,5,4,3] => [3,4,5,6,1,1] => [{5,6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[1,3,1,4,5,6] => [6,5,4,1,3,1] => [{4,6},{5},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,4,6,5] => [5,6,4,1,3,1] => [{4,6},{5},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,4,6] => [6,4,5,1,3,1] => [{4,6},{5},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,5,6,4] => [4,6,5,1,3,1] => [{4,6},{5},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,4,5] => [5,4,6,1,3,1] => [{4,6},{5},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,1,6,5,4] => [4,5,6,1,3,1] => [{4,6},{5},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,3,4,1,5,6] => [6,5,1,4,3,1] => [{3,6},{5},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,1,6,5] => [5,6,1,4,3,1] => [{3,6},{5},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,4,5,1,6] => [6,1,5,4,3,1] => [{2,6},{5},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,5,6,1] => [1,6,5,4,3,1] => [{1,6},{5},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,4,6,1,5] => [5,1,6,4,3,1] => [{2,6},{5},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,4,6,5,1] => [1,5,6,4,3,1] => [{1,6},{5},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,1,4,6] => [6,4,1,5,3,1] => [{3,6},{5},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,1,6,4] => [4,6,1,5,3,1] => [{3,6},{5},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,3,5,4,1,6] => [6,1,4,5,3,1] => [{2,6},{5},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,4,6,1] => [1,6,4,5,3,1] => [{1,6},{5},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,3,5,6,1,4] => [4,1,6,5,3,1] => [{2,6},{5},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,3,5,6,4,1] => [1,4,6,5,3,1] => [{1,6},{5},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,1,4,5] => [5,4,1,6,3,1] => [{3,6},{5},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,1,5,4] => [4,5,1,6,3,1] => [{3,6},{5},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,3,6,4,1,5] => [5,1,4,6,3,1] => [{2,6},{5},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,4,5,1] => [1,5,4,6,3,1] => [{1,6},{5},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,3,6,5,1,4] => [4,1,5,6,3,1] => [{2,6},{5},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,3,6,5,4,1] => [1,4,5,6,3,1] => [{1,6},{5},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,1,3,5,6] => [6,5,3,1,4,1] => [{4,6},{3},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,3,6,5] => [5,6,3,1,4,1] => [{4,6},{3},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,3,6] => [6,3,5,1,4,1] => [{4,6},{2},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,5,6,3] => [3,6,5,1,4,1] => [{4,6},{1},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,3,5] => [5,3,6,1,4,1] => [{4,6},{2},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,1,6,5,3] => [3,5,6,1,4,1] => [{4,6},{1},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[1,4,3,1,5,6] => [6,5,1,3,4,1] => [{3,6},{4},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,1,6,5] => [5,6,1,3,4,1] => [{3,6},{4},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,3,5,1,6] => [6,1,5,3,4,1] => [{2,6},{4},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,5,6,1] => [1,6,5,3,4,1] => [{1,6},{4},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,3,6,1,5] => [5,1,6,3,4,1] => [{2,6},{4},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,3,6,5,1] => [1,5,6,3,4,1] => [{1,6},{4},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,1,3,6] => [6,3,1,5,4,1] => [{3,6},{2},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,1,6,3] => [3,6,1,5,4,1] => [{3,6},{1},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[1,4,5,3,1,6] => [6,1,3,5,4,1] => [{2,6},{3},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,3,6,1] => [1,6,3,5,4,1] => [{1,6},{3},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[1,4,5,6,1,3] => [3,1,6,5,4,1] => [{2,6},{1},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[1,4,5,6,3,1] => [1,3,6,5,4,1] => [{1,6},{2},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,1,3,5] => [5,3,1,6,4,1] => [{3,6},{2},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,1,5,3] => [3,5,1,6,4,1] => [{3,6},{1},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[1,4,6,3,1,5] => [5,1,3,6,4,1] => [{2,6},{3},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,3,5,1] => [1,5,3,6,4,1] => [{1,6},{3},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[1,4,6,5,1,3] => [3,1,5,6,4,1] => [{2,6},{1},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[1,4,6,5,3,1] => [1,3,5,6,4,1] => [{1,6},{2},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,1,3,4,6] => [6,4,3,1,5,1] => [{4,6},{3},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,3,6,4] => [4,6,3,1,5,1] => [{4,6},{3},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,3,6] => [6,3,4,1,5,1] => [{4,6},{2},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,4,6,3] => [3,6,4,1,5,1] => [{4,6},{1},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,3,4] => [4,3,6,1,5,1] => [{4,6},{2},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,1,6,4,3] => [3,4,6,1,5,1] => [{4,6},{1},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[1,5,3,1,4,6] => [6,4,1,3,5,1] => [{3,6},{4},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,1,6,4] => [4,6,1,3,5,1] => [{3,6},{4},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,3,4,1,6] => [6,1,4,3,5,1] => [{2,6},{4},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,4,6,1] => [1,6,4,3,5,1] => [{1,6},{4},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,3,6,1,4] => [4,1,6,3,5,1] => [{2,6},{4},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,3,6,4,1] => [1,4,6,3,5,1] => [{1,6},{4},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,1,3,6] => [6,3,1,4,5,1] => [{3,6},{2},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,1,6,3] => [3,6,1,4,5,1] => [{3,6},{1},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[1,5,4,3,1,6] => [6,1,3,4,5,1] => [{2,6},{3},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,3,6,1] => [1,6,3,4,5,1] => [{1,6},{3},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[1,5,4,6,1,3] => [3,1,6,4,5,1] => [{2,6},{1},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[1,5,4,6,3,1] => [1,3,6,4,5,1] => [{1,6},{2},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,1,3,4] => [4,3,1,6,5,1] => [{3,6},{2},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,1,4,3] => [3,4,1,6,5,1] => [{3,6},{1},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[1,5,6,3,1,4] => [4,1,3,6,5,1] => [{2,6},{3},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,3,4,1] => [1,4,3,6,5,1] => [{1,6},{3},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,5,6,4,1,3] => [3,1,4,6,5,1] => [{2,6},{1},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[1,5,6,4,3,1] => [1,3,4,6,5,1] => [{1,6},{2},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[1,6,1,3,4,5] => [5,4,3,1,6,1] => [{4,6},{3},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,3,5,4] => [4,5,3,1,6,1] => [{4,6},{3},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,3,5] => [5,3,4,1,6,1] => [{4,6},{2},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,4,5,3] => [3,5,4,1,6,1] => [{4,6},{1},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,3,4] => [4,3,5,1,6,1] => [{4,6},{2},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,1,5,4,3] => [3,4,5,1,6,1] => [{4,6},{1},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[1,6,3,1,4,5] => [5,4,1,3,6,1] => [{3,6},{4},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,1,5,4] => [4,5,1,3,6,1] => [{3,6},{4},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,3,4,1,5] => [5,1,4,3,6,1] => [{2,6},{4},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,4,5,1] => [1,5,4,3,6,1] => [{1,6},{4},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,3,5,1,4] => [4,1,5,3,6,1] => [{2,6},{4},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,3,5,4,1] => [1,4,5,3,6,1] => [{1,6},{4},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,1,3,5] => [5,3,1,4,6,1] => [{3,6},{2},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,1,5,3] => [3,5,1,4,6,1] => [{3,6},{1},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,4,3,1,5] => [5,1,3,4,6,1] => [{2,6},{3},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,3,5,1] => [1,5,3,4,6,1] => [{1,6},{3},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,4,5,1,3] => [3,1,5,4,6,1] => [{2,6},{1},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,4,5,3,1] => [1,3,5,4,6,1] => [{1,6},{2},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,1,3,4] => [4,3,1,5,6,1] => [{3,6},{2},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,1,4,3] => [3,4,1,5,6,1] => [{3,6},{1},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[1,6,5,3,1,4] => [4,1,3,5,6,1] => [{2,6},{3},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,3,4,1] => [1,4,3,5,6,1] => [{1,6},{3},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[1,6,5,4,1,3] => [3,1,4,5,6,1] => [{2,6},{1},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[1,6,5,4,3,1] => [1,3,4,5,6,1] => [{1,6},{2},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,1,1,4,5,6] => [6,5,4,1,1,3] => [{4,5},{6},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,4,6,5] => [5,6,4,1,1,3] => [{4,5},{6},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,4,6] => [6,4,5,1,1,3] => [{4,5},{6},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,5,6,4] => [4,6,5,1,1,3] => [{4,5},{6},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,4,5] => [5,4,6,1,1,3] => [{4,5},{6},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,1,6,5,4] => [4,5,6,1,1,3] => [{4,5},{6},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,1,4,1,5,6] => [6,5,1,4,1,3] => [{3,5},{6},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,1,6,5] => [5,6,1,4,1,3] => [{3,5},{6},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,4,5,1,6] => [6,1,5,4,1,3] => [{2,5},{6},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,5,6,1] => [1,6,5,4,1,3] => [{1,5},{6},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,4,6,1,5] => [5,1,6,4,1,3] => [{2,5},{6},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,4,6,5,1] => [1,5,6,4,1,3] => [{1,5},{6},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,1,4,6] => [6,4,1,5,1,3] => [{3,5},{6},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,1,6,4] => [4,6,1,5,1,3] => [{3,5},{6},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,1,5,4,1,6] => [6,1,4,5,1,3] => [{2,5},{6},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,4,6,1] => [1,6,4,5,1,3] => [{1,5},{6},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,1,5,6,1,4] => [4,1,6,5,1,3] => [{2,5},{6},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,1,5,6,4,1] => [1,4,6,5,1,3] => [{1,5},{6},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,1,4,5] => [5,4,1,6,1,3] => [{3,5},{6},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,1,5,4] => [4,5,1,6,1,3] => [{3,5},{6},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,1,6,4,1,5] => [5,1,4,6,1,3] => [{2,5},{6},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,4,5,1] => [1,5,4,6,1,3] => [{1,5},{6},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,1,6,5,1,4] => [4,1,5,6,1,3] => [{2,5},{6},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,1,6,5,4,1] => [1,4,5,6,1,3] => [{1,5},{6},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,4,1,1,5,6] => [6,5,1,1,4,3] => [{3,4},{6},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,1,6,5] => [5,6,1,1,4,3] => [{3,4},{6},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,5,1,6] => [6,1,5,1,4,3] => [{2,4},{6},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,5,6,1] => [1,6,5,1,4,3] => [{1,4},{6},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,4,1,6,1,5] => [5,1,6,1,4,3] => [{2,4},{6},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,4,1,6,5,1] => [1,5,6,1,4,3] => [{1,4},{6},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,4,5,1,1,6] => [6,1,1,5,4,3] => [{2,3},{6},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,4,5,1,6,1] => [1,6,1,5,4,3] => [{1,3},{6},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,4,5,6,1,1] => [1,1,6,5,4,3] => [{1,2},{6},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,4,6,1,1,5] => [5,1,1,6,4,3] => [{2,3},{6},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,4,6,1,5,1] => [1,5,1,6,4,3] => [{1,3},{6},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,4,6,5,1,1] => [1,1,5,6,4,3] => [{1,2},{6},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,5,1,1,4,6] => [6,4,1,1,5,3] => [{3,4},{6},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,1,6,4] => [4,6,1,1,5,3] => [{3,4},{6},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,4,1,6] => [6,1,4,1,5,3] => [{2,4},{6},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,4,6,1] => [1,6,4,1,5,3] => [{1,4},{6},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,5,1,6,1,4] => [4,1,6,1,5,3] => [{2,4},{6},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,5,1,6,4,1] => [1,4,6,1,5,3] => [{1,4},{6},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,5,4,1,1,6] => [6,1,1,4,5,3] => [{2,3},{6},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,5,4,1,6,1] => [1,6,1,4,5,3] => [{1,3},{6},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,5,4,6,1,1] => [1,1,6,4,5,3] => [{1,2},{6},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,5,6,1,1,4] => [4,1,1,6,5,3] => [{2,3},{6},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,5,6,1,4,1] => [1,4,1,6,5,3] => [{1,3},{6},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,5,6,4,1,1] => [1,1,4,6,5,3] => [{1,2},{6},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,6,1,1,4,5] => [5,4,1,1,6,3] => [{3,4},{6},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,1,5,4] => [4,5,1,1,6,3] => [{3,4},{6},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,1,4,1,5] => [5,1,4,1,6,3] => [{2,4},{6},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,4,5,1] => [1,5,4,1,6,3] => [{1,4},{6},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,1,5,1,4] => [4,1,5,1,6,3] => [{2,4},{6},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,1,5,4,1] => [1,4,5,1,6,3] => [{1,4},{6},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,4,1,1,5] => [5,1,1,4,6,3] => [{2,3},{6},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,4,1,5,1] => [1,5,1,4,6,3] => [{1,3},{6},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,4,5,1,1] => [1,1,5,4,6,3] => [{1,2},{6},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,5,1,1,4] => [4,1,1,5,6,3] => [{2,3},{6},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,5,1,4,1] => [1,4,1,5,6,3] => [{1,3},{6},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,5,4,1,1] => [1,1,4,5,6,3] => [{1,2},{6},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[4,1,1,3,5,6] => [6,5,3,1,1,4] => [{4,5},{3},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,3,6,5] => [5,6,3,1,1,4] => [{4,5},{3},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,3,6] => [6,3,5,1,1,4] => [{4,5},{2},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,5,6,3] => [3,6,5,1,1,4] => [{4,5},{1},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,3,5] => [5,3,6,1,1,4] => [{4,5},{2},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,1,6,5,3] => [3,5,6,1,1,4] => [{4,5},{1},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[4,1,3,1,5,6] => [6,5,1,3,1,4] => [{3,5},{4},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,1,6,5] => [5,6,1,3,1,4] => [{3,5},{4},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,3,5,1,6] => [6,1,5,3,1,4] => [{2,5},{4},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,5,6,1] => [1,6,5,3,1,4] => [{1,5},{4},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,3,6,1,5] => [5,1,6,3,1,4] => [{2,5},{4},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,3,6,5,1] => [1,5,6,3,1,4] => [{1,5},{4},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,1,3,6] => [6,3,1,5,1,4] => [{3,5},{2},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,1,6,3] => [3,6,1,5,1,4] => [{3,5},{1},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[4,1,5,3,1,6] => [6,1,3,5,1,4] => [{2,5},{3},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,3,6,1] => [1,6,3,5,1,4] => [{1,5},{3},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[4,1,5,6,1,3] => [3,1,6,5,1,4] => [{2,5},{1},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[4,1,5,6,3,1] => [1,3,6,5,1,4] => [{1,5},{2},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,1,3,5] => [5,3,1,6,1,4] => [{3,5},{2},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,1,5,3] => [3,5,1,6,1,4] => [{3,5},{1},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[4,1,6,3,1,5] => [5,1,3,6,1,4] => [{2,5},{3},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,3,5,1] => [1,5,3,6,1,4] => [{1,5},{3},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[4,1,6,5,1,3] => [3,1,5,6,1,4] => [{2,5},{1},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[4,1,6,5,3,1] => [1,3,5,6,1,4] => [{1,5},{2},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[4,3,1,1,5,6] => [6,5,1,1,3,4] => [{3,4},{5},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,1,6,5] => [5,6,1,1,3,4] => [{3,4},{5},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,5,1,6] => [6,1,5,1,3,4] => [{2,4},{5},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,5,6,1] => [1,6,5,1,3,4] => [{1,4},{5},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[4,3,1,6,1,5] => [5,1,6,1,3,4] => [{2,4},{5},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[4,3,1,6,5,1] => [1,5,6,1,3,4] => [{1,4},{5},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[4,3,5,1,1,6] => [6,1,1,5,3,4] => [{2,3},{5},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[4,3,5,1,6,1] => [1,6,1,5,3,4] => [{1,3},{5},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[4,3,5,6,1,1] => [1,1,6,5,3,4] => [{1,2},{5},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[4,3,6,1,1,5] => [5,1,1,6,3,4] => [{2,3},{5},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[4,3,6,1,5,1] => [1,5,1,6,3,4] => [{1,3},{5},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[4,3,6,5,1,1] => [1,1,5,6,3,4] => [{1,2},{5},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[4,5,1,1,3,6] => [6,3,1,1,5,4] => [{3,4},{2},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,1,6,3] => [3,6,1,1,5,4] => [{3,4},{1},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,3,1,6] => [6,1,3,1,5,4] => [{2,4},{3},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,3,6,1] => [1,6,3,1,5,4] => [{1,4},{3},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[4,5,1,6,1,3] => [3,1,6,1,5,4] => [{2,4},{1},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[4,5,1,6,3,1] => [1,3,6,1,5,4] => [{1,4},{2},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[4,5,3,1,1,6] => [6,1,1,3,5,4] => [{2,3},{4},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[4,5,3,1,6,1] => [1,6,1,3,5,4] => [{1,3},{4},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[4,5,3,6,1,1] => [1,1,6,3,5,4] => [{1,2},{4},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[4,5,6,1,1,3] => [3,1,1,6,5,4] => [{2,3},{1},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[4,5,6,1,3,1] => [1,3,1,6,5,4] => [{1,3},{2},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[4,5,6,3,1,1] => [1,1,3,6,5,4] => [{1,2},{3},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[4,6,1,1,3,5] => [5,3,1,1,6,4] => [{3,4},{2},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,1,5,3] => [3,5,1,1,6,4] => [{3,4},{1},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,1,3,1,5] => [5,1,3,1,6,4] => [{2,4},{3},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,3,5,1] => [1,5,3,1,6,4] => [{1,4},{3},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,1,5,1,3] => [3,1,5,1,6,4] => [{2,4},{1},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,1,5,3,1] => [1,3,5,1,6,4] => [{1,4},{2},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,3,1,1,5] => [5,1,1,3,6,4] => [{2,3},{4},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,3,1,5,1] => [1,5,1,3,6,4] => [{1,3},{4},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,3,5,1,1] => [1,1,5,3,6,4] => [{1,2},{4},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,5,1,1,3] => [3,1,1,5,6,4] => [{2,3},{1},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,5,1,3,1] => [1,3,1,5,6,4] => [{1,3},{2},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,5,3,1,1] => [1,1,3,5,6,4] => [{1,2},{3},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[5,1,1,3,4,6] => [6,4,3,1,1,5] => [{4,5},{3},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,3,6,4] => [4,6,3,1,1,5] => [{4,5},{3},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,3,6] => [6,3,4,1,1,5] => [{4,5},{2},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,4,6,3] => [3,6,4,1,1,5] => [{4,5},{1},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,3,4] => [4,3,6,1,1,5] => [{4,5},{2},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,1,6,4,3] => [3,4,6,1,1,5] => [{4,5},{1},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,1,3,1,4,6] => [6,4,1,3,1,5] => [{3,5},{4},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,1,6,4] => [4,6,1,3,1,5] => [{3,5},{4},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,3,4,1,6] => [6,1,4,3,1,5] => [{2,5},{4},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,4,6,1] => [1,6,4,3,1,5] => [{1,5},{4},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,3,6,1,4] => [4,1,6,3,1,5] => [{2,5},{4},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,3,6,4,1] => [1,4,6,3,1,5] => [{1,5},{4},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,1,3,6] => [6,3,1,4,1,5] => [{3,5},{2},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,1,6,3] => [3,6,1,4,1,5] => [{3,5},{1},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,1,4,3,1,6] => [6,1,3,4,1,5] => [{2,5},{3},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,3,6,1] => [1,6,3,4,1,5] => [{1,5},{3},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,1,4,6,1,3] => [3,1,6,4,1,5] => [{2,5},{1},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,1,4,6,3,1] => [1,3,6,4,1,5] => [{1,5},{2},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,1,3,4] => [4,3,1,6,1,5] => [{3,5},{2},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,1,4,3] => [3,4,1,6,1,5] => [{3,5},{1},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,1,6,3,1,4] => [4,1,3,6,1,5] => [{2,5},{3},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,3,4,1] => [1,4,3,6,1,5] => [{1,5},{3},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,1,6,4,1,3] => [3,1,4,6,1,5] => [{2,5},{1},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,1,6,4,3,1] => [1,3,4,6,1,5] => [{1,5},{2},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,3,1,1,4,6] => [6,4,1,1,3,5] => [{3,4},{5},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,1,6,4] => [4,6,1,1,3,5] => [{3,4},{5},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,4,1,6] => [6,1,4,1,3,5] => [{2,4},{5},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,4,6,1] => [1,6,4,1,3,5] => [{1,4},{5},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,3,1,6,1,4] => [4,1,6,1,3,5] => [{2,4},{5},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,3,1,6,4,1] => [1,4,6,1,3,5] => [{1,4},{5},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,3,4,1,1,6] => [6,1,1,4,3,5] => [{2,3},{5},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,3,4,1,6,1] => [1,6,1,4,3,5] => [{1,3},{5},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,3,4,6,1,1] => [1,1,6,4,3,5] => [{1,2},{5},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,3,6,1,1,4] => [4,1,1,6,3,5] => [{2,3},{5},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,3,6,1,4,1] => [1,4,1,6,3,5] => [{1,3},{5},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,3,6,4,1,1] => [1,1,4,6,3,5] => [{1,2},{5},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,4,1,1,3,6] => [6,3,1,1,4,5] => [{3,4},{2},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,1,6,3] => [3,6,1,1,4,5] => [{3,4},{1},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,3,1,6] => [6,1,3,1,4,5] => [{2,4},{3},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,3,6,1] => [1,6,3,1,4,5] => [{1,4},{3},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,4,1,6,1,3] => [3,1,6,1,4,5] => [{2,4},{1},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,4,1,6,3,1] => [1,3,6,1,4,5] => [{1,4},{2},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,4,3,1,1,6] => [6,1,1,3,4,5] => [{2,3},{4},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,4,3,1,6,1] => [1,6,1,3,4,5] => [{1,3},{4},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,4,3,6,1,1] => [1,1,6,3,4,5] => [{1,2},{4},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,4,6,1,1,3] => [3,1,1,6,4,5] => [{2,3},{1},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,4,6,1,3,1] => [1,3,1,6,4,5] => [{1,3},{2},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,4,6,3,1,1] => [1,1,3,6,4,5] => [{1,2},{3},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,6,1,1,3,4] => [4,3,1,1,6,5] => [{3,4},{2},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,1,4,3] => [3,4,1,1,6,5] => [{3,4},{1},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,1,3,1,4] => [4,1,3,1,6,5] => [{2,4},{3},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,3,4,1] => [1,4,3,1,6,5] => [{1,4},{3},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,1,4,1,3] => [3,1,4,1,6,5] => [{2,4},{1},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,1,4,3,1] => [1,3,4,1,6,5] => [{1,4},{2},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,3,1,1,4] => [4,1,1,3,6,5] => [{2,3},{4},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,3,1,4,1] => [1,4,1,3,6,5] => [{1,3},{4},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,3,4,1,1] => [1,1,4,3,6,5] => [{1,2},{4},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,4,1,1,3] => [3,1,1,4,6,5] => [{2,3},{1},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,4,1,3,1] => [1,3,1,4,6,5] => [{1,3},{2},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,4,3,1,1] => [1,1,3,4,6,5] => [{1,2},{3},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[6,1,1,3,4,5] => [5,4,3,1,1,6] => [{4,5},{3},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,3,5,4] => [4,5,3,1,1,6] => [{4,5},{3},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,3,5] => [5,3,4,1,1,6] => [{4,5},{2},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,4,5,3] => [3,5,4,1,1,6] => [{4,5},{1},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,3,4] => [4,3,5,1,1,6] => [{4,5},{2},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,1,5,4,3] => [3,4,5,1,1,6] => [{4,5},{1},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,1,3,1,4,5] => [5,4,1,3,1,6] => [{3,5},{4},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,1,5,4] => [4,5,1,3,1,6] => [{3,5},{4},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,3,4,1,5] => [5,1,4,3,1,6] => [{2,5},{4},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,4,5,1] => [1,5,4,3,1,6] => [{1,5},{4},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,3,5,1,4] => [4,1,5,3,1,6] => [{2,5},{4},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,3,5,4,1] => [1,4,5,3,1,6] => [{1,5},{4},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,1,3,5] => [5,3,1,4,1,6] => [{3,5},{2},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,1,5,3] => [3,5,1,4,1,6] => [{3,5},{1},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,4,3,1,5] => [5,1,3,4,1,6] => [{2,5},{3},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,3,5,1] => [1,5,3,4,1,6] => [{1,5},{3},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,4,5,1,3] => [3,1,5,4,1,6] => [{2,5},{1},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,4,5,3,1] => [1,3,5,4,1,6] => [{1,5},{2},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,1,3,4] => [4,3,1,5,1,6] => [{3,5},{2},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,1,4,3] => [3,4,1,5,1,6] => [{3,5},{1},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,1,5,3,1,4] => [4,1,3,5,1,6] => [{2,5},{3},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,3,4,1] => [1,4,3,5,1,6] => [{1,5},{3},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,1,5,4,1,3] => [3,1,4,5,1,6] => [{2,5},{1},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,1,5,4,3,1] => [1,3,4,5,1,6] => [{1,5},{2},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,1,1,4,5] => [5,4,1,1,3,6] => [{3,4},{5},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,1,5,4] => [4,5,1,1,3,6] => [{3,4},{5},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,4,1,5] => [5,1,4,1,3,6] => [{2,4},{5},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,4,5,1] => [1,5,4,1,3,6] => [{1,4},{5},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,1,5,1,4] => [4,1,5,1,3,6] => [{2,4},{5},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,1,5,4,1] => [1,4,5,1,3,6] => [{1,4},{5},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,4,1,1,5] => [5,1,1,4,3,6] => [{2,3},{5},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,4,1,5,1] => [1,5,1,4,3,6] => [{1,3},{5},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,4,5,1,1] => [1,1,5,4,3,6] => [{1,2},{5},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,5,1,1,4] => [4,1,1,5,3,6] => [{2,3},{5},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,5,1,4,1] => [1,4,1,5,3,6] => [{1,3},{5},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,5,4,1,1] => [1,1,4,5,3,6] => [{1,2},{5},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,1,1,3,5] => [5,3,1,1,4,6] => [{3,4},{2},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,1,5,3] => [3,5,1,1,4,6] => [{3,4},{1},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,3,1,5] => [5,1,3,1,4,6] => [{2,4},{3},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,3,5,1] => [1,5,3,1,4,6] => [{1,4},{3},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,1,5,1,3] => [3,1,5,1,4,6] => [{2,4},{1},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,1,5,3,1] => [1,3,5,1,4,6] => [{1,4},{2},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,3,1,1,5] => [5,1,1,3,4,6] => [{2,3},{4},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,3,1,5,1] => [1,5,1,3,4,6] => [{1,3},{4},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,3,5,1,1] => [1,1,5,3,4,6] => [{1,2},{4},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,5,1,1,3] => [3,1,1,5,4,6] => [{2,3},{1},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,5,1,3,1] => [1,3,1,5,4,6] => [{1,3},{2},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,5,3,1,1] => [1,1,3,5,4,6] => [{1,2},{3},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,1,1,3,4] => [4,3,1,1,5,6] => [{3,4},{2},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,1,4,3] => [3,4,1,1,5,6] => [{3,4},{1},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,1,3,1,4] => [4,1,3,1,5,6] => [{2,4},{3},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,3,4,1] => [1,4,3,1,5,6] => [{1,4},{3},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,1,4,1,3] => [3,1,4,1,5,6] => [{2,4},{1},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,1,4,3,1] => [1,3,4,1,5,6] => [{1,4},{2},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,3,1,1,4] => [4,1,1,3,5,6] => [{2,3},{4},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,3,1,4,1] => [1,4,1,3,5,6] => [{1,3},{4},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,3,4,1,1] => [1,1,4,3,5,6] => [{1,2},{4},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,4,1,1,3] => [3,1,1,4,5,6] => [{2,3},{1},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,4,1,3,1] => [1,3,1,4,5,6] => [{1,3},{2},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,4,3,1,1] => [1,1,3,4,5,6] => [{1,2},{3},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[1,2,2,2,2,2] => [2,2,2,2,2,1] => [{6},{1,2,3,4,5}] => {{1,2,3,4,5},{6}}
[2,1,2,2,2,2] => [2,2,2,2,1,2] => [{5},{1,2,3,4,6}] => {{1,2,3,4,6},{5}}
[2,2,1,2,2,2] => [2,2,2,1,2,2] => [{4},{1,2,3,5,6}] => {{1,2,3,5,6},{4}}
[2,2,2,1,2,2] => [2,2,1,2,2,2] => [{3},{1,2,4,5,6}] => {{1,2,4,5,6},{3}}
[2,2,2,2,1,2] => [2,1,2,2,2,2] => [{2},{1,3,4,5,6}] => {{1,3,4,5,6},{2}}
[2,2,2,2,2,1] => [1,2,2,2,2,2] => [{1},{2,3,4,5,6}] => {{1},{2,3,4,5,6}}
[1,2,2,2,2,3] => [3,2,2,2,2,1] => [{6},{2,3,4,5},{1}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,3,2] => [2,3,2,2,2,1] => [{6},{1,3,4,5},{2}] => {{1,3,4,5},{2},{6}}
[1,2,2,3,2,2] => [2,2,3,2,2,1] => [{6},{1,2,4,5},{3}] => {{1,2,4,5},{3},{6}}
[1,2,3,2,2,2] => [2,2,2,3,2,1] => [{6},{1,2,3,5},{4}] => {{1,2,3,5},{4},{6}}
[1,3,2,2,2,2] => [2,2,2,2,3,1] => [{6},{1,2,3,4},{5}] => {{1,2,3,4},{5},{6}}
[2,1,2,2,2,3] => [3,2,2,2,1,2] => [{5},{2,3,4,6},{1}] => {{1},{2,3,4,6},{5}}
[2,1,2,2,3,2] => [2,3,2,2,1,2] => [{5},{1,3,4,6},{2}] => {{1,3,4,6},{2},{5}}
[2,1,2,3,2,2] => [2,2,3,2,1,2] => [{5},{1,2,4,6},{3}] => {{1,2,4,6},{3},{5}}
[2,1,3,2,2,2] => [2,2,2,3,1,2] => [{5},{1,2,3,6},{4}] => {{1,2,3,6},{4},{5}}
[2,2,1,2,2,3] => [3,2,2,1,2,2] => [{4},{2,3,5,6},{1}] => {{1},{2,3,5,6},{4}}
[2,2,1,2,3,2] => [2,3,2,1,2,2] => [{4},{1,3,5,6},{2}] => {{1,3,5,6},{2},{4}}
[2,2,1,3,2,2] => [2,2,3,1,2,2] => [{4},{1,2,5,6},{3}] => {{1,2,5,6},{3},{4}}
[2,2,2,1,2,3] => [3,2,1,2,2,2] => [{3},{2,4,5,6},{1}] => {{1},{2,4,5,6},{3}}
[2,2,2,1,3,2] => [2,3,1,2,2,2] => [{3},{1,4,5,6},{2}] => {{1,4,5,6},{2},{3}}
[2,2,2,2,1,3] => [3,1,2,2,2,2] => [{2},{3,4,5,6},{1}] => {{1},{2},{3,4,5,6}}
[2,2,2,2,3,1] => [1,3,2,2,2,2] => [{1},{3,4,5,6},{2}] => {{1},{2},{3,4,5,6}}
[2,2,2,3,1,2] => [2,1,3,2,2,2] => [{2},{1,4,5,6},{3}] => {{1,4,5,6},{2},{3}}
[2,2,2,3,2,1] => [1,2,3,2,2,2] => [{1},{2,4,5,6},{3}] => {{1},{2,4,5,6},{3}}
[2,2,3,1,2,2] => [2,2,1,3,2,2] => [{3},{1,2,5,6},{4}] => {{1,2,5,6},{3},{4}}
[2,2,3,2,1,2] => [2,1,2,3,2,2] => [{2},{1,3,5,6},{4}] => {{1,3,5,6},{2},{4}}
[2,2,3,2,2,1] => [1,2,2,3,2,2] => [{1},{2,3,5,6},{4}] => {{1},{2,3,5,6},{4}}
[2,3,1,2,2,2] => [2,2,2,1,3,2] => [{4},{1,2,3,6},{5}] => {{1,2,3,6},{4},{5}}
[2,3,2,1,2,2] => [2,2,1,2,3,2] => [{3},{1,2,4,6},{5}] => {{1,2,4,6},{3},{5}}
[2,3,2,2,1,2] => [2,1,2,2,3,2] => [{2},{1,3,4,6},{5}] => {{1,3,4,6},{2},{5}}
[2,3,2,2,2,1] => [1,2,2,2,3,2] => [{1},{2,3,4,6},{5}] => {{1},{2,3,4,6},{5}}
[3,1,2,2,2,2] => [2,2,2,2,1,3] => [{5},{1,2,3,4},{6}] => {{1,2,3,4},{5},{6}}
[3,2,1,2,2,2] => [2,2,2,1,2,3] => [{4},{1,2,3,5},{6}] => {{1,2,3,5},{4},{6}}
[3,2,2,1,2,2] => [2,2,1,2,2,3] => [{3},{1,2,4,5},{6}] => {{1,2,4,5},{3},{6}}
[3,2,2,2,1,2] => [2,1,2,2,2,3] => [{2},{1,3,4,5},{6}] => {{1,3,4,5},{2},{6}}
[3,2,2,2,2,1] => [1,2,2,2,2,3] => [{1},{2,3,4,5},{6}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,2,4] => [4,2,2,2,2,1] => [{6},{2,3,4,5},{1}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,4,2] => [2,4,2,2,2,1] => [{6},{1,3,4,5},{2}] => {{1,3,4,5},{2},{6}}
[1,2,2,4,2,2] => [2,2,4,2,2,1] => [{6},{1,2,4,5},{3}] => {{1,2,4,5},{3},{6}}
[1,2,4,2,2,2] => [2,2,2,4,2,1] => [{6},{1,2,3,5},{4}] => {{1,2,3,5},{4},{6}}
[1,4,2,2,2,2] => [2,2,2,2,4,1] => [{6},{1,2,3,4},{5}] => {{1,2,3,4},{5},{6}}
[2,1,2,2,2,4] => [4,2,2,2,1,2] => [{5},{2,3,4,6},{1}] => {{1},{2,3,4,6},{5}}
[2,1,2,2,4,2] => [2,4,2,2,1,2] => [{5},{1,3,4,6},{2}] => {{1,3,4,6},{2},{5}}
[2,1,2,4,2,2] => [2,2,4,2,1,2] => [{5},{1,2,4,6},{3}] => {{1,2,4,6},{3},{5}}
[2,1,4,2,2,2] => [2,2,2,4,1,2] => [{5},{1,2,3,6},{4}] => {{1,2,3,6},{4},{5}}
[2,2,1,2,2,4] => [4,2,2,1,2,2] => [{4},{2,3,5,6},{1}] => {{1},{2,3,5,6},{4}}
[2,2,1,2,4,2] => [2,4,2,1,2,2] => [{4},{1,3,5,6},{2}] => {{1,3,5,6},{2},{4}}
[2,2,1,4,2,2] => [2,2,4,1,2,2] => [{4},{1,2,5,6},{3}] => {{1,2,5,6},{3},{4}}
[2,2,2,1,2,4] => [4,2,1,2,2,2] => [{3},{2,4,5,6},{1}] => {{1},{2,4,5,6},{3}}
[2,2,2,1,4,2] => [2,4,1,2,2,2] => [{3},{1,4,5,6},{2}] => {{1,4,5,6},{2},{3}}
[2,2,2,2,1,4] => [4,1,2,2,2,2] => [{2},{3,4,5,6},{1}] => {{1},{2},{3,4,5,6}}
[2,2,2,2,4,1] => [1,4,2,2,2,2] => [{1},{3,4,5,6},{2}] => {{1},{2},{3,4,5,6}}
[2,2,2,4,1,2] => [2,1,4,2,2,2] => [{2},{1,4,5,6},{3}] => {{1,4,5,6},{2},{3}}
[2,2,2,4,2,1] => [1,2,4,2,2,2] => [{1},{2,4,5,6},{3}] => {{1},{2,4,5,6},{3}}
[2,2,4,1,2,2] => [2,2,1,4,2,2] => [{3},{1,2,5,6},{4}] => {{1,2,5,6},{3},{4}}
[2,2,4,2,1,2] => [2,1,2,4,2,2] => [{2},{1,3,5,6},{4}] => {{1,3,5,6},{2},{4}}
[2,2,4,2,2,1] => [1,2,2,4,2,2] => [{1},{2,3,5,6},{4}] => {{1},{2,3,5,6},{4}}
[2,4,1,2,2,2] => [2,2,2,1,4,2] => [{4},{1,2,3,6},{5}] => {{1,2,3,6},{4},{5}}
[2,4,2,1,2,2] => [2,2,1,2,4,2] => [{3},{1,2,4,6},{5}] => {{1,2,4,6},{3},{5}}
[2,4,2,2,1,2] => [2,1,2,2,4,2] => [{2},{1,3,4,6},{5}] => {{1,3,4,6},{2},{5}}
[2,4,2,2,2,1] => [1,2,2,2,4,2] => [{1},{2,3,4,6},{5}] => {{1},{2,3,4,6},{5}}
[4,1,2,2,2,2] => [2,2,2,2,1,4] => [{5},{1,2,3,4},{6}] => {{1,2,3,4},{5},{6}}
[4,2,1,2,2,2] => [2,2,2,1,2,4] => [{4},{1,2,3,5},{6}] => {{1,2,3,5},{4},{6}}
[4,2,2,1,2,2] => [2,2,1,2,2,4] => [{3},{1,2,4,5},{6}] => {{1,2,4,5},{3},{6}}
[4,2,2,2,1,2] => [2,1,2,2,2,4] => [{2},{1,3,4,5},{6}] => {{1,3,4,5},{2},{6}}
[4,2,2,2,2,1] => [1,2,2,2,2,4] => [{1},{2,3,4,5},{6}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,2,5] => [5,2,2,2,2,1] => [{6},{2,3,4,5},{1}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,5,2] => [2,5,2,2,2,1] => [{6},{1,3,4,5},{2}] => {{1,3,4,5},{2},{6}}
[1,2,2,5,2,2] => [2,2,5,2,2,1] => [{6},{1,2,4,5},{3}] => {{1,2,4,5},{3},{6}}
[1,2,5,2,2,2] => [2,2,2,5,2,1] => [{6},{1,2,3,5},{4}] => {{1,2,3,5},{4},{6}}
[1,5,2,2,2,2] => [2,2,2,2,5,1] => [{6},{1,2,3,4},{5}] => {{1,2,3,4},{5},{6}}
[2,1,2,2,2,5] => [5,2,2,2,1,2] => [{5},{2,3,4,6},{1}] => {{1},{2,3,4,6},{5}}
[2,1,2,2,5,2] => [2,5,2,2,1,2] => [{5},{1,3,4,6},{2}] => {{1,3,4,6},{2},{5}}
[2,1,2,5,2,2] => [2,2,5,2,1,2] => [{5},{1,2,4,6},{3}] => {{1,2,4,6},{3},{5}}
[2,1,5,2,2,2] => [2,2,2,5,1,2] => [{5},{1,2,3,6},{4}] => {{1,2,3,6},{4},{5}}
[2,2,1,2,2,5] => [5,2,2,1,2,2] => [{4},{2,3,5,6},{1}] => {{1},{2,3,5,6},{4}}
[2,2,1,2,5,2] => [2,5,2,1,2,2] => [{4},{1,3,5,6},{2}] => {{1,3,5,6},{2},{4}}
[2,2,1,5,2,2] => [2,2,5,1,2,2] => [{4},{1,2,5,6},{3}] => {{1,2,5,6},{3},{4}}
[2,2,2,1,2,5] => [5,2,1,2,2,2] => [{3},{2,4,5,6},{1}] => {{1},{2,4,5,6},{3}}
[2,2,2,1,5,2] => [2,5,1,2,2,2] => [{3},{1,4,5,6},{2}] => {{1,4,5,6},{2},{3}}
[2,2,2,2,1,5] => [5,1,2,2,2,2] => [{2},{3,4,5,6},{1}] => {{1},{2},{3,4,5,6}}
[2,2,2,2,5,1] => [1,5,2,2,2,2] => [{1},{3,4,5,6},{2}] => {{1},{2},{3,4,5,6}}
[2,2,2,5,1,2] => [2,1,5,2,2,2] => [{2},{1,4,5,6},{3}] => {{1,4,5,6},{2},{3}}
[2,2,2,5,2,1] => [1,2,5,2,2,2] => [{1},{2,4,5,6},{3}] => {{1},{2,4,5,6},{3}}
[2,2,5,1,2,2] => [2,2,1,5,2,2] => [{3},{1,2,5,6},{4}] => {{1,2,5,6},{3},{4}}
[2,2,5,2,1,2] => [2,1,2,5,2,2] => [{2},{1,3,5,6},{4}] => {{1,3,5,6},{2},{4}}
[2,2,5,2,2,1] => [1,2,2,5,2,2] => [{1},{2,3,5,6},{4}] => {{1},{2,3,5,6},{4}}
[2,5,1,2,2,2] => [2,2,2,1,5,2] => [{4},{1,2,3,6},{5}] => {{1,2,3,6},{4},{5}}
[2,5,2,1,2,2] => [2,2,1,2,5,2] => [{3},{1,2,4,6},{5}] => {{1,2,4,6},{3},{5}}
[2,5,2,2,1,2] => [2,1,2,2,5,2] => [{2},{1,3,4,6},{5}] => {{1,3,4,6},{2},{5}}
[2,5,2,2,2,1] => [1,2,2,2,5,2] => [{1},{2,3,4,6},{5}] => {{1},{2,3,4,6},{5}}
[5,1,2,2,2,2] => [2,2,2,2,1,5] => [{5},{1,2,3,4},{6}] => {{1,2,3,4},{5},{6}}
[5,2,1,2,2,2] => [2,2,2,1,2,5] => [{4},{1,2,3,5},{6}] => {{1,2,3,5},{4},{6}}
[5,2,2,1,2,2] => [2,2,1,2,2,5] => [{3},{1,2,4,5},{6}] => {{1,2,4,5},{3},{6}}
[5,2,2,2,1,2] => [2,1,2,2,2,5] => [{2},{1,3,4,5},{6}] => {{1,3,4,5},{2},{6}}
[5,2,2,2,2,1] => [1,2,2,2,2,5] => [{1},{2,3,4,5},{6}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,2,6] => [6,2,2,2,2,1] => [{6},{2,3,4,5},{1}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,6,2] => [2,6,2,2,2,1] => [{6},{1,3,4,5},{2}] => {{1,3,4,5},{2},{6}}
[1,2,2,6,2,2] => [2,2,6,2,2,1] => [{6},{1,2,4,5},{3}] => {{1,2,4,5},{3},{6}}
[1,2,6,2,2,2] => [2,2,2,6,2,1] => [{6},{1,2,3,5},{4}] => {{1,2,3,5},{4},{6}}
[1,6,2,2,2,2] => [2,2,2,2,6,1] => [{6},{1,2,3,4},{5}] => {{1,2,3,4},{5},{6}}
[2,1,2,2,2,6] => [6,2,2,2,1,2] => [{5},{2,3,4,6},{1}] => {{1},{2,3,4,6},{5}}
[2,1,2,2,6,2] => [2,6,2,2,1,2] => [{5},{1,3,4,6},{2}] => {{1,3,4,6},{2},{5}}
[2,1,2,6,2,2] => [2,2,6,2,1,2] => [{5},{1,2,4,6},{3}] => {{1,2,4,6},{3},{5}}
[2,1,6,2,2,2] => [2,2,2,6,1,2] => [{5},{1,2,3,6},{4}] => {{1,2,3,6},{4},{5}}
[2,2,1,2,2,6] => [6,2,2,1,2,2] => [{4},{2,3,5,6},{1}] => {{1},{2,3,5,6},{4}}
[2,2,1,2,6,2] => [2,6,2,1,2,2] => [{4},{1,3,5,6},{2}] => {{1,3,5,6},{2},{4}}
[2,2,1,6,2,2] => [2,2,6,1,2,2] => [{4},{1,2,5,6},{3}] => {{1,2,5,6},{3},{4}}
[2,2,2,1,2,6] => [6,2,1,2,2,2] => [{3},{2,4,5,6},{1}] => {{1},{2,4,5,6},{3}}
[2,2,2,1,6,2] => [2,6,1,2,2,2] => [{3},{1,4,5,6},{2}] => {{1,4,5,6},{2},{3}}
[2,2,2,2,1,6] => [6,1,2,2,2,2] => [{2},{3,4,5,6},{1}] => {{1},{2},{3,4,5,6}}
[2,2,2,2,6,1] => [1,6,2,2,2,2] => [{1},{3,4,5,6},{2}] => {{1},{2},{3,4,5,6}}
[2,2,2,6,1,2] => [2,1,6,2,2,2] => [{2},{1,4,5,6},{3}] => {{1,4,5,6},{2},{3}}
[2,2,2,6,2,1] => [1,2,6,2,2,2] => [{1},{2,4,5,6},{3}] => {{1},{2,4,5,6},{3}}
[2,2,6,1,2,2] => [2,2,1,6,2,2] => [{3},{1,2,5,6},{4}] => {{1,2,5,6},{3},{4}}
[2,2,6,2,1,2] => [2,1,2,6,2,2] => [{2},{1,3,5,6},{4}] => {{1,3,5,6},{2},{4}}
[2,2,6,2,2,1] => [1,2,2,6,2,2] => [{1},{2,3,5,6},{4}] => {{1},{2,3,5,6},{4}}
[2,6,1,2,2,2] => [2,2,2,1,6,2] => [{4},{1,2,3,6},{5}] => {{1,2,3,6},{4},{5}}
[2,6,2,1,2,2] => [2,2,1,2,6,2] => [{3},{1,2,4,6},{5}] => {{1,2,4,6},{3},{5}}
[2,6,2,2,1,2] => [2,1,2,2,6,2] => [{2},{1,3,4,6},{5}] => {{1,3,4,6},{2},{5}}
[2,6,2,2,2,1] => [1,2,2,2,6,2] => [{1},{2,3,4,6},{5}] => {{1},{2,3,4,6},{5}}
[6,1,2,2,2,2] => [2,2,2,2,1,6] => [{5},{1,2,3,4},{6}] => {{1,2,3,4},{5},{6}}
[6,2,1,2,2,2] => [2,2,2,1,2,6] => [{4},{1,2,3,5},{6}] => {{1,2,3,5},{4},{6}}
[6,2,2,1,2,2] => [2,2,1,2,2,6] => [{3},{1,2,4,5},{6}] => {{1,2,4,5},{3},{6}}
[6,2,2,2,1,2] => [2,1,2,2,2,6] => [{2},{1,3,4,5},{6}] => {{1,3,4,5},{2},{6}}
[6,2,2,2,2,1] => [1,2,2,2,2,6] => [{1},{2,3,4,5},{6}] => {{1},{2,3,4,5},{6}}
[1,2,2,2,3,3] => [3,3,2,2,2,1] => [{6},{3,4,5},{1,2}] => {{1,2},{3,4,5},{6}}
[1,2,2,3,2,3] => [3,2,3,2,2,1] => [{6},{2,4,5},{1,3}] => {{1,3},{2,4,5},{6}}
[1,2,2,3,3,2] => [2,3,3,2,2,1] => [{6},{1,4,5},{2,3}] => {{1,4,5},{2,3},{6}}
[1,2,3,2,2,3] => [3,2,2,3,2,1] => [{6},{2,3,5},{1,4}] => {{1,4},{2,3,5},{6}}
[1,2,3,2,3,2] => [2,3,2,3,2,1] => [{6},{1,3,5},{2,4}] => {{1,3,5},{2,4},{6}}
[1,2,3,3,2,2] => [2,2,3,3,2,1] => [{6},{1,2,5},{3,4}] => {{1,2,5},{3,4},{6}}
[1,3,2,2,2,3] => [3,2,2,2,3,1] => [{6},{2,3,4},{1,5}] => {{1,5},{2,3,4},{6}}
[1,3,2,2,3,2] => [2,3,2,2,3,1] => [{6},{1,3,4},{2,5}] => {{1,3,4},{2,5},{6}}
[1,3,2,3,2,2] => [2,2,3,2,3,1] => [{6},{1,2,4},{3,5}] => {{1,2,4},{3,5},{6}}
[1,3,3,2,2,2] => [2,2,2,3,3,1] => [{6},{1,2,3},{4,5}] => {{1,2,3},{4,5},{6}}
[2,1,2,2,3,3] => [3,3,2,2,1,2] => [{5},{3,4,6},{1,2}] => {{1,2},{3,4,6},{5}}
[2,1,2,3,2,3] => [3,2,3,2,1,2] => [{5},{2,4,6},{1,3}] => {{1,3},{2,4,6},{5}}
[2,1,2,3,3,2] => [2,3,3,2,1,2] => [{5},{1,4,6},{2,3}] => {{1,4,6},{2,3},{5}}
[2,1,3,2,2,3] => [3,2,2,3,1,2] => [{5},{2,3,6},{1,4}] => {{1,4},{2,3,6},{5}}
[2,1,3,2,3,2] => [2,3,2,3,1,2] => [{5},{1,3,6},{2,4}] => {{1,3,6},{2,4},{5}}
[2,1,3,3,2,2] => [2,2,3,3,1,2] => [{5},{1,2,6},{3,4}] => {{1,2,6},{3,4},{5}}
[2,2,1,2,3,3] => [3,3,2,1,2,2] => [{4},{3,5,6},{1,2}] => {{1,2},{3,5,6},{4}}
[2,2,1,3,2,3] => [3,2,3,1,2,2] => [{4},{2,5,6},{1,3}] => {{1,3},{2,5,6},{4}}
[2,2,1,3,3,2] => [2,3,3,1,2,2] => [{4},{1,5,6},{2,3}] => {{1,5,6},{2,3},{4}}
[2,2,2,1,3,3] => [3,3,1,2,2,2] => [{3},{4,5,6},{1,2}] => {{1,2},{3},{4,5,6}}
[2,2,2,3,1,3] => [3,1,3,2,2,2] => [{2},{4,5,6},{1,3}] => {{1,3},{2},{4,5,6}}
[2,2,2,3,3,1] => [1,3,3,2,2,2] => [{1},{4,5,6},{2,3}] => {{1},{2,3},{4,5,6}}
[2,2,3,1,2,3] => [3,2,1,3,2,2] => [{3},{2,5,6},{1,4}] => {{1,4},{2,5,6},{3}}
[2,2,3,1,3,2] => [2,3,1,3,2,2] => [{3},{1,5,6},{2,4}] => {{1,5,6},{2,4},{3}}
[2,2,3,2,1,3] => [3,1,2,3,2,2] => [{2},{3,5,6},{1,4}] => {{1,4},{2},{3,5,6}}
[2,2,3,2,3,1] => [1,3,2,3,2,2] => [{1},{3,5,6},{2,4}] => {{1},{2,4},{3,5,6}}
[2,2,3,3,1,2] => [2,1,3,3,2,2] => [{2},{1,5,6},{3,4}] => {{1,5,6},{2},{3,4}}
[2,2,3,3,2,1] => [1,2,3,3,2,2] => [{1},{2,5,6},{3,4}] => {{1},{2,5,6},{3,4}}
[2,3,1,2,2,3] => [3,2,2,1,3,2] => [{4},{2,3,6},{1,5}] => {{1,5},{2,3,6},{4}}
[2,3,1,2,3,2] => [2,3,2,1,3,2] => [{4},{1,3,6},{2,5}] => {{1,3,6},{2,5},{4}}
[2,3,1,3,2,2] => [2,2,3,1,3,2] => [{4},{1,2,6},{3,5}] => {{1,2,6},{3,5},{4}}
[2,3,2,1,2,3] => [3,2,1,2,3,2] => [{3},{2,4,6},{1,5}] => {{1,5},{2,4,6},{3}}
[2,3,2,1,3,2] => [2,3,1,2,3,2] => [{3},{1,4,6},{2,5}] => {{1,4,6},{2,5},{3}}
[2,3,2,2,1,3] => [3,1,2,2,3,2] => [{2},{3,4,6},{1,5}] => {{1,5},{2},{3,4,6}}
[2,3,2,2,3,1] => [1,3,2,2,3,2] => [{1},{3,4,6},{2,5}] => {{1},{2,5},{3,4,6}}
[2,3,2,3,1,2] => [2,1,3,2,3,2] => [{2},{1,4,6},{3,5}] => {{1,4,6},{2},{3,5}}
[2,3,2,3,2,1] => [1,2,3,2,3,2] => [{1},{2,4,6},{3,5}] => {{1},{2,4,6},{3,5}}
[2,3,3,1,2,2] => [2,2,1,3,3,2] => [{3},{1,2,6},{4,5}] => {{1,2,6},{3},{4,5}}
[2,3,3,2,1,2] => [2,1,2,3,3,2] => [{2},{1,3,6},{4,5}] => {{1,3,6},{2},{4,5}}
[2,3,3,2,2,1] => [1,2,2,3,3,2] => [{1},{2,3,6},{4,5}] => {{1},{2,3,6},{4,5}}
[3,1,2,2,2,3] => [3,2,2,2,1,3] => [{5},{2,3,4},{1,6}] => {{1,6},{2,3,4},{5}}
[3,1,2,2,3,2] => [2,3,2,2,1,3] => [{5},{1,3,4},{2,6}] => {{1,3,4},{2,6},{5}}
[3,1,2,3,2,2] => [2,2,3,2,1,3] => [{5},{1,2,4},{3,6}] => {{1,2,4},{3,6},{5}}
[3,1,3,2,2,2] => [2,2,2,3,1,3] => [{5},{1,2,3},{4,6}] => {{1,2,3},{4,6},{5}}
[3,2,1,2,2,3] => [3,2,2,1,2,3] => [{4},{2,3,5},{1,6}] => {{1,6},{2,3,5},{4}}
[3,2,1,2,3,2] => [2,3,2,1,2,3] => [{4},{1,3,5},{2,6}] => {{1,3,5},{2,6},{4}}
[3,2,1,3,2,2] => [2,2,3,1,2,3] => [{4},{1,2,5},{3,6}] => {{1,2,5},{3,6},{4}}
[3,2,2,1,2,3] => [3,2,1,2,2,3] => [{3},{2,4,5},{1,6}] => {{1,6},{2,4,5},{3}}
[3,2,2,1,3,2] => [2,3,1,2,2,3] => [{3},{1,4,5},{2,6}] => {{1,4,5},{2,6},{3}}
[3,2,2,2,1,3] => [3,1,2,2,2,3] => [{2},{3,4,5},{1,6}] => {{1,6},{2},{3,4,5}}
[3,2,2,2,3,1] => [1,3,2,2,2,3] => [{1},{3,4,5},{2,6}] => {{1},{2,6},{3,4,5}}
[3,2,2,3,1,2] => [2,1,3,2,2,3] => [{2},{1,4,5},{3,6}] => {{1,4,5},{2},{3,6}}
[3,2,2,3,2,1] => [1,2,3,2,2,3] => [{1},{2,4,5},{3,6}] => {{1},{2,4,5},{3,6}}
[3,2,3,1,2,2] => [2,2,1,3,2,3] => [{3},{1,2,5},{4,6}] => {{1,2,5},{3},{4,6}}
[3,2,3,2,1,2] => [2,1,2,3,2,3] => [{2},{1,3,5},{4,6}] => {{1,3,5},{2},{4,6}}
[3,2,3,2,2,1] => [1,2,2,3,2,3] => [{1},{2,3,5},{4,6}] => {{1},{2,3,5},{4,6}}
[3,3,1,2,2,2] => [2,2,2,1,3,3] => [{4},{1,2,3},{5,6}] => {{1,2,3},{4},{5,6}}
[3,3,2,1,2,2] => [2,2,1,2,3,3] => [{3},{1,2,4},{5,6}] => {{1,2,4},{3},{5,6}}
[3,3,2,2,1,2] => [2,1,2,2,3,3] => [{2},{1,3,4},{5,6}] => {{1,3,4},{2},{5,6}}
[3,3,2,2,2,1] => [1,2,2,2,3,3] => [{1},{2,3,4},{5,6}] => {{1},{2,3,4},{5,6}}
[1,2,2,2,3,4] => [4,3,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,4,3] => [3,4,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,3,2,4] => [4,2,3,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,3,4,2] => [2,4,3,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,4,2,3] => [3,2,4,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,4,3,2] => [2,3,4,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,3,2,2,4] => [4,2,2,3,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,3,2,4,2] => [2,4,2,3,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,3,4,2,2] => [2,2,4,3,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,4,2,2,3] => [3,2,2,4,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,4,2,3,2] => [2,3,2,4,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,4,3,2,2] => [2,2,3,4,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,2,2,2,4] => [4,2,2,2,3,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,3,2,2,4,2] => [2,4,2,2,3,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,3,2,4,2,2] => [2,2,4,2,3,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,3,4,2,2,2] => [2,2,2,4,3,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,4,2,2,2,3] => [3,2,2,2,4,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,4,2,2,3,2] => [2,3,2,2,4,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,4,2,3,2,2] => [2,2,3,2,4,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,4,3,2,2,2] => [2,2,2,3,4,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,3,4] => [4,3,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,4,3] => [3,4,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,3,2,4] => [4,2,3,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,3,4,2] => [2,4,3,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,4,2,3] => [3,2,4,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,4,3,2] => [2,3,4,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,3,2,2,4] => [4,2,2,3,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,3,2,4,2] => [2,4,2,3,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,3,4,2,2] => [2,2,4,3,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,4,2,2,3] => [3,2,2,4,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,4,2,3,2] => [2,3,2,4,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,4,3,2,2] => [2,2,3,4,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,3,4] => [4,3,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,4,3] => [3,4,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,3,2,4] => [4,2,3,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,3,4,2] => [2,4,3,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,4,2,3] => [3,2,4,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,4,3,2] => [2,3,4,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,3,4] => [4,3,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,4,3] => [3,4,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,1,4] => [4,1,3,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,4,1] => [1,4,3,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,1,3] => [3,1,4,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,3,1] => [1,3,4,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,3,1,2,4] => [4,2,1,3,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,3,1,4,2] => [2,4,1,3,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,3,2,1,4] => [4,1,2,3,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,3,2,4,1] => [1,4,2,3,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,3,4,1,2] => [2,1,4,3,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,3,4,2,1] => [1,2,4,3,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,4,1,2,3] => [3,2,1,4,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,4,1,3,2] => [2,3,1,4,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,4,2,1,3] => [3,1,2,4,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,4,2,3,1] => [1,3,2,4,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,4,3,1,2] => [2,1,3,4,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,4,3,2,1] => [1,2,3,4,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,3,1,2,2,4] => [4,2,2,1,3,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,3,1,2,4,2] => [2,4,2,1,3,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,3,1,4,2,2] => [2,2,4,1,3,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,3,2,1,2,4] => [4,2,1,2,3,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,3,2,1,4,2] => [2,4,1,2,3,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,3,2,2,1,4] => [4,1,2,2,3,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,3,2,2,4,1] => [1,4,2,2,3,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,3,2,4,1,2] => [2,1,4,2,3,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,3,2,4,2,1] => [1,2,4,2,3,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,3,4,1,2,2] => [2,2,1,4,3,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,3,4,2,1,2] => [2,1,2,4,3,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,3,4,2,2,1] => [1,2,2,4,3,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,4,1,2,2,3] => [3,2,2,1,4,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,4,1,2,3,2] => [2,3,2,1,4,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,4,1,3,2,2] => [2,2,3,1,4,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,4,2,1,2,3] => [3,2,1,2,4,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,4,2,1,3,2] => [2,3,1,2,4,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,4,2,2,1,3] => [3,1,2,2,4,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,4,2,2,3,1] => [1,3,2,2,4,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,4,2,3,1,2] => [2,1,3,2,4,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,4,2,3,2,1] => [1,2,3,2,4,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,4,3,1,2,2] => [2,2,1,3,4,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,4,3,2,1,2] => [2,1,2,3,4,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,4,3,2,2,1] => [1,2,2,3,4,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[3,1,2,2,2,4] => [4,2,2,2,1,3] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,1,2,2,4,2] => [2,4,2,2,1,3] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,1,2,4,2,2] => [2,2,4,2,1,3] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,1,4,2,2,2] => [2,2,2,4,1,3] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,2,1,2,2,4] => [4,2,2,1,2,3] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,2,1,2,4,2] => [2,4,2,1,2,3] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,2,1,4,2,2] => [2,2,4,1,2,3] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,2,2,1,2,4] => [4,2,1,2,2,3] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,2,2,1,4,2] => [2,4,1,2,2,3] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,2,2,2,1,4] => [4,1,2,2,2,3] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,2,2,2,4,1] => [1,4,2,2,2,3] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,2,2,4,1,2] => [2,1,4,2,2,3] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,2,2,4,2,1] => [1,2,4,2,2,3] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,2,4,1,2,2] => [2,2,1,4,2,3] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,4,2,1,2] => [2,1,2,4,2,3] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,2,4,2,2,1] => [1,2,2,4,2,3] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,4,1,2,2,2] => [2,2,2,1,4,3] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[3,4,2,1,2,2] => [2,2,1,2,4,3] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,4,2,2,1,2] => [2,1,2,2,4,3] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,4,2,2,2,1] => [1,2,2,2,4,3] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[4,1,2,2,2,3] => [3,2,2,2,1,4] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[4,1,2,2,3,2] => [2,3,2,2,1,4] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[4,1,2,3,2,2] => [2,2,3,2,1,4] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[4,1,3,2,2,2] => [2,2,2,3,1,4] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[4,2,1,2,2,3] => [3,2,2,1,2,4] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[4,2,1,2,3,2] => [2,3,2,1,2,4] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[4,2,1,3,2,2] => [2,2,3,1,2,4] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[4,2,2,1,2,3] => [3,2,1,2,2,4] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[4,2,2,1,3,2] => [2,3,1,2,2,4] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[4,2,2,2,1,3] => [3,1,2,2,2,4] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[4,2,2,2,3,1] => [1,3,2,2,2,4] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[4,2,2,3,1,2] => [2,1,3,2,2,4] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[4,2,2,3,2,1] => [1,2,3,2,2,4] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[4,2,3,1,2,2] => [2,2,1,3,2,4] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[4,2,3,2,1,2] => [2,1,2,3,2,4] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[4,2,3,2,2,1] => [1,2,2,3,2,4] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[4,3,1,2,2,2] => [2,2,2,1,3,4] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[4,3,2,1,2,2] => [2,2,1,2,3,4] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[4,3,2,2,1,2] => [2,1,2,2,3,4] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[4,3,2,2,2,1] => [1,2,2,2,3,4] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,2,3,5] => [5,3,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,5,3] => [3,5,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,3,2,5] => [5,2,3,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,3,5,2] => [2,5,3,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,5,2,3] => [3,2,5,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,5,3,2] => [2,3,5,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,3,2,2,5] => [5,2,2,3,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,3,2,5,2] => [2,5,2,3,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,3,5,2,2] => [2,2,5,3,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,5,2,2,3] => [3,2,2,5,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,5,2,3,2] => [2,3,2,5,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,5,3,2,2] => [2,2,3,5,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,2,2,2,5] => [5,2,2,2,3,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,3,2,2,5,2] => [2,5,2,2,3,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,3,2,5,2,2] => [2,2,5,2,3,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,3,5,2,2,2] => [2,2,2,5,3,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,5,2,2,2,3] => [3,2,2,2,5,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,5,2,2,3,2] => [2,3,2,2,5,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,5,2,3,2,2] => [2,2,3,2,5,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,5,3,2,2,2] => [2,2,2,3,5,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,3,5] => [5,3,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,5,3] => [3,5,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,3,2,5] => [5,2,3,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,3,5,2] => [2,5,3,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,5,2,3] => [3,2,5,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,5,3,2] => [2,3,5,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,3,2,2,5] => [5,2,2,3,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,3,2,5,2] => [2,5,2,3,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,3,5,2,2] => [2,2,5,3,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,5,2,2,3] => [3,2,2,5,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,5,2,3,2] => [2,3,2,5,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,5,3,2,2] => [2,2,3,5,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,3,5] => [5,3,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,5,3] => [3,5,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,3,2,5] => [5,2,3,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,3,5,2] => [2,5,3,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,5,2,3] => [3,2,5,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,5,3,2] => [2,3,5,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,3,5] => [5,3,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,5,3] => [3,5,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,1,5] => [5,1,3,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,5,1] => [1,5,3,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,1,3] => [3,1,5,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,3,1] => [1,3,5,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,3,1,2,5] => [5,2,1,3,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,3,1,5,2] => [2,5,1,3,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,3,2,1,5] => [5,1,2,3,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,3,2,5,1] => [1,5,2,3,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,3,5,1,2] => [2,1,5,3,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,3,5,2,1] => [1,2,5,3,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,5,1,2,3] => [3,2,1,5,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,5,1,3,2] => [2,3,1,5,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,5,2,1,3] => [3,1,2,5,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,5,2,3,1] => [1,3,2,5,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,5,3,1,2] => [2,1,3,5,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,5,3,2,1] => [1,2,3,5,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,3,1,2,2,5] => [5,2,2,1,3,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,3,1,2,5,2] => [2,5,2,1,3,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,3,1,5,2,2] => [2,2,5,1,3,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,3,2,1,2,5] => [5,2,1,2,3,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,3,2,1,5,2] => [2,5,1,2,3,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,3,2,2,1,5] => [5,1,2,2,3,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,3,2,2,5,1] => [1,5,2,2,3,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,3,2,5,1,2] => [2,1,5,2,3,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,3,2,5,2,1] => [1,2,5,2,3,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,3,5,1,2,2] => [2,2,1,5,3,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,3,5,2,1,2] => [2,1,2,5,3,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,3,5,2,2,1] => [1,2,2,5,3,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,5,1,2,2,3] => [3,2,2,1,5,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,5,1,2,3,2] => [2,3,2,1,5,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,5,1,3,2,2] => [2,2,3,1,5,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,5,2,1,2,3] => [3,2,1,2,5,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,5,2,1,3,2] => [2,3,1,2,5,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,5,2,2,1,3] => [3,1,2,2,5,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,5,2,2,3,1] => [1,3,2,2,5,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,5,2,3,1,2] => [2,1,3,2,5,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,5,2,3,2,1] => [1,2,3,2,5,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,5,3,1,2,2] => [2,2,1,3,5,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,5,3,2,1,2] => [2,1,2,3,5,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,5,3,2,2,1] => [1,2,2,3,5,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[3,1,2,2,2,5] => [5,2,2,2,1,3] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,1,2,2,5,2] => [2,5,2,2,1,3] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,1,2,5,2,2] => [2,2,5,2,1,3] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,1,5,2,2,2] => [2,2,2,5,1,3] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,2,1,2,2,5] => [5,2,2,1,2,3] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,2,1,2,5,2] => [2,5,2,1,2,3] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,2,1,5,2,2] => [2,2,5,1,2,3] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,2,2,1,2,5] => [5,2,1,2,2,3] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,2,2,1,5,2] => [2,5,1,2,2,3] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,2,2,2,1,5] => [5,1,2,2,2,3] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,2,2,2,5,1] => [1,5,2,2,2,3] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,2,2,5,1,2] => [2,1,5,2,2,3] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,2,2,5,2,1] => [1,2,5,2,2,3] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,2,5,1,2,2] => [2,2,1,5,2,3] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,5,2,1,2] => [2,1,2,5,2,3] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,2,5,2,2,1] => [1,2,2,5,2,3] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,5,1,2,2,2] => [2,2,2,1,5,3] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[3,5,2,1,2,2] => [2,2,1,2,5,3] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,5,2,2,1,2] => [2,1,2,2,5,3] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,5,2,2,2,1] => [1,2,2,2,5,3] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[5,1,2,2,2,3] => [3,2,2,2,1,5] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[5,1,2,2,3,2] => [2,3,2,2,1,5] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[5,1,2,3,2,2] => [2,2,3,2,1,5] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[5,1,3,2,2,2] => [2,2,2,3,1,5] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[5,2,1,2,2,3] => [3,2,2,1,2,5] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[5,2,1,2,3,2] => [2,3,2,1,2,5] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[5,2,1,3,2,2] => [2,2,3,1,2,5] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,2,1,2,3] => [3,2,1,2,2,5] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[5,2,2,1,3,2] => [2,3,1,2,2,5] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[5,2,2,2,1,3] => [3,1,2,2,2,5] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[5,2,2,2,3,1] => [1,3,2,2,2,5] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[5,2,2,3,1,2] => [2,1,3,2,2,5] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[5,2,2,3,2,1] => [1,2,3,2,2,5] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[5,2,3,1,2,2] => [2,2,1,3,2,5] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,3,2,1,2] => [2,1,2,3,2,5] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[5,2,3,2,2,1] => [1,2,2,3,2,5] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[5,3,1,2,2,2] => [2,2,2,1,3,5] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[5,3,2,1,2,2] => [2,2,1,2,3,5] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[5,3,2,2,1,2] => [2,1,2,2,3,5] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[5,3,2,2,2,1] => [1,2,2,2,3,5] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,2,3,6] => [6,3,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,6,3] => [3,6,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,3,2,6] => [6,2,3,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,3,6,2] => [2,6,3,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,6,2,3] => [3,2,6,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,6,3,2] => [2,3,6,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,3,2,2,6] => [6,2,2,3,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,3,2,6,2] => [2,6,2,3,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,3,6,2,2] => [2,2,6,3,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,6,2,2,3] => [3,2,2,6,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,6,2,3,2] => [2,3,2,6,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,6,3,2,2] => [2,2,3,6,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,2,2,2,6] => [6,2,2,2,3,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,3,2,2,6,2] => [2,6,2,2,3,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,3,2,6,2,2] => [2,2,6,2,3,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,3,6,2,2,2] => [2,2,2,6,3,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,6,2,2,2,3] => [3,2,2,2,6,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,6,2,2,3,2] => [2,3,2,2,6,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,6,2,3,2,2] => [2,2,3,2,6,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,6,3,2,2,2] => [2,2,2,3,6,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,3,6] => [6,3,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,6,3] => [3,6,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,3,2,6] => [6,2,3,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,3,6,2] => [2,6,3,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,6,2,3] => [3,2,6,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,6,3,2] => [2,3,6,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,3,2,2,6] => [6,2,2,3,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,3,2,6,2] => [2,6,2,3,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,3,6,2,2] => [2,2,6,3,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,6,2,2,3] => [3,2,2,6,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,6,2,3,2] => [2,3,2,6,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,6,3,2,2] => [2,2,3,6,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,3,6] => [6,3,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,6,3] => [3,6,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,3,2,6] => [6,2,3,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,3,6,2] => [2,6,3,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,6,2,3] => [3,2,6,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,6,3,2] => [2,3,6,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,3,6] => [6,3,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,6,3] => [3,6,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,1,6] => [6,1,3,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,3,6,1] => [1,6,3,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,1,3] => [3,1,6,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,3,1] => [1,3,6,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,3,1,2,6] => [6,2,1,3,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,3,1,6,2] => [2,6,1,3,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,3,2,1,6] => [6,1,2,3,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,3,2,6,1] => [1,6,2,3,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,3,6,1,2] => [2,1,6,3,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,3,6,2,1] => [1,2,6,3,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,2,3] => [3,2,1,6,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,3,2] => [2,3,1,6,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,2,1,3] => [3,1,2,6,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,2,3,1] => [1,3,2,6,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,3,1,2] => [2,1,3,6,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,3,2,1] => [1,2,3,6,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,3,1,2,2,6] => [6,2,2,1,3,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,3,1,2,6,2] => [2,6,2,1,3,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,3,1,6,2,2] => [2,2,6,1,3,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,3,2,1,2,6] => [6,2,1,2,3,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,3,2,1,6,2] => [2,6,1,2,3,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,3,2,2,1,6] => [6,1,2,2,3,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,3,2,2,6,1] => [1,6,2,2,3,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,3,2,6,1,2] => [2,1,6,2,3,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,3,2,6,2,1] => [1,2,6,2,3,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,3,6,1,2,2] => [2,2,1,6,3,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,3,6,2,1,2] => [2,1,2,6,3,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,3,6,2,2,1] => [1,2,2,6,3,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,2,3] => [3,2,2,1,6,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,3,2] => [2,3,2,1,6,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,1,3,2,2] => [2,2,3,1,6,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,2,1,2,3] => [3,2,1,2,6,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,2,1,3,2] => [2,3,1,2,6,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,2,1,3] => [3,1,2,2,6,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,2,3,1] => [1,3,2,2,6,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,3,1,2] => [2,1,3,2,6,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,3,2,1] => [1,2,3,2,6,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,3,1,2,2] => [2,2,1,3,6,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,3,2,1,2] => [2,1,2,3,6,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,3,2,2,1] => [1,2,2,3,6,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[3,1,2,2,2,6] => [6,2,2,2,1,3] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[3,1,2,2,6,2] => [2,6,2,2,1,3] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[3,1,2,6,2,2] => [2,2,6,2,1,3] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[3,1,6,2,2,2] => [2,2,2,6,1,3] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[3,2,1,2,2,6] => [6,2,2,1,2,3] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[3,2,1,2,6,2] => [2,6,2,1,2,3] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[3,2,1,6,2,2] => [2,2,6,1,2,3] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[3,2,2,1,2,6] => [6,2,1,2,2,3] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[3,2,2,1,6,2] => [2,6,1,2,2,3] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[3,2,2,2,1,6] => [6,1,2,2,2,3] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[3,2,2,2,6,1] => [1,6,2,2,2,3] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[3,2,2,6,1,2] => [2,1,6,2,2,3] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[3,2,2,6,2,1] => [1,2,6,2,2,3] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[3,2,6,1,2,2] => [2,2,1,6,2,3] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[3,2,6,2,1,2] => [2,1,2,6,2,3] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[3,2,6,2,2,1] => [1,2,2,6,2,3] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[3,6,1,2,2,2] => [2,2,2,1,6,3] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[3,6,2,1,2,2] => [2,2,1,2,6,3] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[3,6,2,2,1,2] => [2,1,2,2,6,3] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[3,6,2,2,2,1] => [1,2,2,2,6,3] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,2,3] => [3,2,2,2,1,6] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,3,2] => [2,3,2,2,1,6] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,1,2,3,2,2] => [2,2,3,2,1,6] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,1,3,2,2,2] => [2,2,2,3,1,6] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,2,1,2,2,3] => [3,2,2,1,2,6] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,2,1,2,3,2] => [2,3,2,1,2,6] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,1,3,2,2] => [2,2,3,1,2,6] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,2,1,2,3] => [3,2,1,2,2,6] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,2,1,3,2] => [2,3,1,2,2,6] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,2,1,3] => [3,1,2,2,2,6] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,2,3,1] => [1,3,2,2,2,6] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,3,1,2] => [2,1,3,2,2,6] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,3,2,1] => [1,2,3,2,2,6] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,3,1,2,2] => [2,2,1,3,2,6] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,3,2,1,2] => [2,1,2,3,2,6] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,3,2,2,1] => [1,2,2,3,2,6] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,3,1,2,2,2] => [2,2,2,1,3,6] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[6,3,2,1,2,2] => [2,2,1,2,3,6] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,3,2,2,1,2] => [2,1,2,2,3,6] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,3,2,2,2,1] => [1,2,2,2,3,6] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,2,4,4] => [4,4,2,2,2,1] => [{6},{3,4,5},{1,2}] => {{1,2},{3,4,5},{6}}
[1,2,2,4,2,4] => [4,2,4,2,2,1] => [{6},{2,4,5},{1,3}] => {{1,3},{2,4,5},{6}}
[1,2,2,4,4,2] => [2,4,4,2,2,1] => [{6},{1,4,5},{2,3}] => {{1,4,5},{2,3},{6}}
[1,2,4,2,2,4] => [4,2,2,4,2,1] => [{6},{2,3,5},{1,4}] => {{1,4},{2,3,5},{6}}
[1,2,4,2,4,2] => [2,4,2,4,2,1] => [{6},{1,3,5},{2,4}] => {{1,3,5},{2,4},{6}}
[1,2,4,4,2,2] => [2,2,4,4,2,1] => [{6},{1,2,5},{3,4}] => {{1,2,5},{3,4},{6}}
[1,4,2,2,2,4] => [4,2,2,2,4,1] => [{6},{2,3,4},{1,5}] => {{1,5},{2,3,4},{6}}
[1,4,2,2,4,2] => [2,4,2,2,4,1] => [{6},{1,3,4},{2,5}] => {{1,3,4},{2,5},{6}}
[1,4,2,4,2,2] => [2,2,4,2,4,1] => [{6},{1,2,4},{3,5}] => {{1,2,4},{3,5},{6}}
[1,4,4,2,2,2] => [2,2,2,4,4,1] => [{6},{1,2,3},{4,5}] => {{1,2,3},{4,5},{6}}
[2,1,2,2,4,4] => [4,4,2,2,1,2] => [{5},{3,4,6},{1,2}] => {{1,2},{3,4,6},{5}}
[2,1,2,4,2,4] => [4,2,4,2,1,2] => [{5},{2,4,6},{1,3}] => {{1,3},{2,4,6},{5}}
[2,1,2,4,4,2] => [2,4,4,2,1,2] => [{5},{1,4,6},{2,3}] => {{1,4,6},{2,3},{5}}
[2,1,4,2,2,4] => [4,2,2,4,1,2] => [{5},{2,3,6},{1,4}] => {{1,4},{2,3,6},{5}}
[2,1,4,2,4,2] => [2,4,2,4,1,2] => [{5},{1,3,6},{2,4}] => {{1,3,6},{2,4},{5}}
[2,1,4,4,2,2] => [2,2,4,4,1,2] => [{5},{1,2,6},{3,4}] => {{1,2,6},{3,4},{5}}
[2,2,1,2,4,4] => [4,4,2,1,2,2] => [{4},{3,5,6},{1,2}] => {{1,2},{3,5,6},{4}}
[2,2,1,4,2,4] => [4,2,4,1,2,2] => [{4},{2,5,6},{1,3}] => {{1,3},{2,5,6},{4}}
[2,2,1,4,4,2] => [2,4,4,1,2,2] => [{4},{1,5,6},{2,3}] => {{1,5,6},{2,3},{4}}
[2,2,2,1,4,4] => [4,4,1,2,2,2] => [{3},{4,5,6},{1,2}] => {{1,2},{3},{4,5,6}}
[2,2,2,4,1,4] => [4,1,4,2,2,2] => [{2},{4,5,6},{1,3}] => {{1,3},{2},{4,5,6}}
[2,2,2,4,4,1] => [1,4,4,2,2,2] => [{1},{4,5,6},{2,3}] => {{1},{2,3},{4,5,6}}
[2,2,4,1,2,4] => [4,2,1,4,2,2] => [{3},{2,5,6},{1,4}] => {{1,4},{2,5,6},{3}}
[2,2,4,1,4,2] => [2,4,1,4,2,2] => [{3},{1,5,6},{2,4}] => {{1,5,6},{2,4},{3}}
[2,2,4,2,1,4] => [4,1,2,4,2,2] => [{2},{3,5,6},{1,4}] => {{1,4},{2},{3,5,6}}
[2,2,4,2,4,1] => [1,4,2,4,2,2] => [{1},{3,5,6},{2,4}] => {{1},{2,4},{3,5,6}}
[2,2,4,4,1,2] => [2,1,4,4,2,2] => [{2},{1,5,6},{3,4}] => {{1,5,6},{2},{3,4}}
[2,2,4,4,2,1] => [1,2,4,4,2,2] => [{1},{2,5,6},{3,4}] => {{1},{2,5,6},{3,4}}
[2,4,1,2,2,4] => [4,2,2,1,4,2] => [{4},{2,3,6},{1,5}] => {{1,5},{2,3,6},{4}}
[2,4,1,2,4,2] => [2,4,2,1,4,2] => [{4},{1,3,6},{2,5}] => {{1,3,6},{2,5},{4}}
[2,4,1,4,2,2] => [2,2,4,1,4,2] => [{4},{1,2,6},{3,5}] => {{1,2,6},{3,5},{4}}
[2,4,2,1,2,4] => [4,2,1,2,4,2] => [{3},{2,4,6},{1,5}] => {{1,5},{2,4,6},{3}}
[2,4,2,1,4,2] => [2,4,1,2,4,2] => [{3},{1,4,6},{2,5}] => {{1,4,6},{2,5},{3}}
[2,4,2,2,1,4] => [4,1,2,2,4,2] => [{2},{3,4,6},{1,5}] => {{1,5},{2},{3,4,6}}
[2,4,2,2,4,1] => [1,4,2,2,4,2] => [{1},{3,4,6},{2,5}] => {{1},{2,5},{3,4,6}}
[2,4,2,4,1,2] => [2,1,4,2,4,2] => [{2},{1,4,6},{3,5}] => {{1,4,6},{2},{3,5}}
[2,4,2,4,2,1] => [1,2,4,2,4,2] => [{1},{2,4,6},{3,5}] => {{1},{2,4,6},{3,5}}
[2,4,4,1,2,2] => [2,2,1,4,4,2] => [{3},{1,2,6},{4,5}] => {{1,2,6},{3},{4,5}}
[2,4,4,2,1,2] => [2,1,2,4,4,2] => [{2},{1,3,6},{4,5}] => {{1,3,6},{2},{4,5}}
[2,4,4,2,2,1] => [1,2,2,4,4,2] => [{1},{2,3,6},{4,5}] => {{1},{2,3,6},{4,5}}
[4,1,2,2,2,4] => [4,2,2,2,1,4] => [{5},{2,3,4},{1,6}] => {{1,6},{2,3,4},{5}}
[4,1,2,2,4,2] => [2,4,2,2,1,4] => [{5},{1,3,4},{2,6}] => {{1,3,4},{2,6},{5}}
[4,1,2,4,2,2] => [2,2,4,2,1,4] => [{5},{1,2,4},{3,6}] => {{1,2,4},{3,6},{5}}
[4,1,4,2,2,2] => [2,2,2,4,1,4] => [{5},{1,2,3},{4,6}] => {{1,2,3},{4,6},{5}}
[4,2,1,2,2,4] => [4,2,2,1,2,4] => [{4},{2,3,5},{1,6}] => {{1,6},{2,3,5},{4}}
[4,2,1,2,4,2] => [2,4,2,1,2,4] => [{4},{1,3,5},{2,6}] => {{1,3,5},{2,6},{4}}
[4,2,1,4,2,2] => [2,2,4,1,2,4] => [{4},{1,2,5},{3,6}] => {{1,2,5},{3,6},{4}}
[4,2,2,1,2,4] => [4,2,1,2,2,4] => [{3},{2,4,5},{1,6}] => {{1,6},{2,4,5},{3}}
[4,2,2,1,4,2] => [2,4,1,2,2,4] => [{3},{1,4,5},{2,6}] => {{1,4,5},{2,6},{3}}
[4,2,2,2,1,4] => [4,1,2,2,2,4] => [{2},{3,4,5},{1,6}] => {{1,6},{2},{3,4,5}}
[4,2,2,2,4,1] => [1,4,2,2,2,4] => [{1},{3,4,5},{2,6}] => {{1},{2,6},{3,4,5}}
[4,2,2,4,1,2] => [2,1,4,2,2,4] => [{2},{1,4,5},{3,6}] => {{1,4,5},{2},{3,6}}
[4,2,2,4,2,1] => [1,2,4,2,2,4] => [{1},{2,4,5},{3,6}] => {{1},{2,4,5},{3,6}}
[4,2,4,1,2,2] => [2,2,1,4,2,4] => [{3},{1,2,5},{4,6}] => {{1,2,5},{3},{4,6}}
[4,2,4,2,1,2] => [2,1,2,4,2,4] => [{2},{1,3,5},{4,6}] => {{1,3,5},{2},{4,6}}
[4,2,4,2,2,1] => [1,2,2,4,2,4] => [{1},{2,3,5},{4,6}] => {{1},{2,3,5},{4,6}}
[4,4,1,2,2,2] => [2,2,2,1,4,4] => [{4},{1,2,3},{5,6}] => {{1,2,3},{4},{5,6}}
[4,4,2,1,2,2] => [2,2,1,2,4,4] => [{3},{1,2,4},{5,6}] => {{1,2,4},{3},{5,6}}
[4,4,2,2,1,2] => [2,1,2,2,4,4] => [{2},{1,3,4},{5,6}] => {{1,3,4},{2},{5,6}}
[4,4,2,2,2,1] => [1,2,2,2,4,4] => [{1},{2,3,4},{5,6}] => {{1},{2,3,4},{5,6}}
[1,2,2,2,4,5] => [5,4,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,5,4] => [4,5,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,4,2,5] => [5,2,4,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,4,5,2] => [2,5,4,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,5,2,4] => [4,2,5,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,5,4,2] => [2,4,5,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,4,2,2,5] => [5,2,2,4,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,4,2,5,2] => [2,5,2,4,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,4,5,2,2] => [2,2,5,4,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,5,2,2,4] => [4,2,2,5,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,5,2,4,2] => [2,4,2,5,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,5,4,2,2] => [2,2,4,5,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,4,2,2,2,5] => [5,2,2,2,4,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,4,2,2,5,2] => [2,5,2,2,4,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,4,2,5,2,2] => [2,2,5,2,4,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,4,5,2,2,2] => [2,2,2,5,4,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,5,2,2,2,4] => [4,2,2,2,5,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,5,2,2,4,2] => [2,4,2,2,5,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,5,2,4,2,2] => [2,2,4,2,5,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,5,4,2,2,2] => [2,2,2,4,5,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,4,5] => [5,4,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,5,4] => [4,5,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,4,2,5] => [5,2,4,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,4,5,2] => [2,5,4,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,5,2,4] => [4,2,5,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,5,4,2] => [2,4,5,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,4,2,2,5] => [5,2,2,4,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,4,2,5,2] => [2,5,2,4,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,4,5,2,2] => [2,2,5,4,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,5,2,2,4] => [4,2,2,5,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,5,2,4,2] => [2,4,2,5,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,5,4,2,2] => [2,2,4,5,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,4,5] => [5,4,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,5,4] => [4,5,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,4,2,5] => [5,2,4,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,4,5,2] => [2,5,4,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,5,2,4] => [4,2,5,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,5,4,2] => [2,4,5,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,4,5] => [5,4,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,5,4] => [4,5,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,1,5] => [5,1,4,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,5,1] => [1,5,4,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,1,4] => [4,1,5,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,4,1] => [1,4,5,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,4,1,2,5] => [5,2,1,4,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,4,1,5,2] => [2,5,1,4,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,4,2,1,5] => [5,1,2,4,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,4,2,5,1] => [1,5,2,4,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,4,5,1,2] => [2,1,5,4,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,4,5,2,1] => [1,2,5,4,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,5,1,2,4] => [4,2,1,5,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,5,1,4,2] => [2,4,1,5,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,5,2,1,4] => [4,1,2,5,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,5,2,4,1] => [1,4,2,5,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,5,4,1,2] => [2,1,4,5,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,5,4,2,1] => [1,2,4,5,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,4,1,2,2,5] => [5,2,2,1,4,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,4,1,2,5,2] => [2,5,2,1,4,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,4,1,5,2,2] => [2,2,5,1,4,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,4,2,1,2,5] => [5,2,1,2,4,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,4,2,1,5,2] => [2,5,1,2,4,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,4,2,2,1,5] => [5,1,2,2,4,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,4,2,2,5,1] => [1,5,2,2,4,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,4,2,5,1,2] => [2,1,5,2,4,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,4,2,5,2,1] => [1,2,5,2,4,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,4,5,1,2,2] => [2,2,1,5,4,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,4,5,2,1,2] => [2,1,2,5,4,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,4,5,2,2,1] => [1,2,2,5,4,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,5,1,2,2,4] => [4,2,2,1,5,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,5,1,2,4,2] => [2,4,2,1,5,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,5,1,4,2,2] => [2,2,4,1,5,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,5,2,1,2,4] => [4,2,1,2,5,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,5,2,1,4,2] => [2,4,1,2,5,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,5,2,2,1,4] => [4,1,2,2,5,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,5,2,2,4,1] => [1,4,2,2,5,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,5,2,4,1,2] => [2,1,4,2,5,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,5,2,4,2,1] => [1,2,4,2,5,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,5,4,1,2,2] => [2,2,1,4,5,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,5,4,2,1,2] => [2,1,2,4,5,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,5,4,2,2,1] => [1,2,2,4,5,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[4,1,2,2,2,5] => [5,2,2,2,1,4] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,1,2,2,5,2] => [2,5,2,2,1,4] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,1,2,5,2,2] => [2,2,5,2,1,4] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,1,5,2,2,2] => [2,2,2,5,1,4] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,2,1,2,2,5] => [5,2,2,1,2,4] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,2,1,2,5,2] => [2,5,2,1,2,4] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,2,1,5,2,2] => [2,2,5,1,2,4] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,2,2,1,2,5] => [5,2,1,2,2,4] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,2,2,1,5,2] => [2,5,1,2,2,4] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,2,2,2,1,5] => [5,1,2,2,2,4] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,2,2,2,5,1] => [1,5,2,2,2,4] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,2,2,5,1,2] => [2,1,5,2,2,4] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,2,2,5,2,1] => [1,2,5,2,2,4] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,2,5,1,2,2] => [2,2,1,5,2,4] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,2,5,2,1,2] => [2,1,2,5,2,4] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,2,5,2,2,1] => [1,2,2,5,2,4] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,5,1,2,2,2] => [2,2,2,1,5,4] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[4,5,2,1,2,2] => [2,2,1,2,5,4] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,5,2,2,1,2] => [2,1,2,2,5,4] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,5,2,2,2,1] => [1,2,2,2,5,4] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[5,1,2,2,2,4] => [4,2,2,2,1,5] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[5,1,2,2,4,2] => [2,4,2,2,1,5] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[5,1,2,4,2,2] => [2,2,4,2,1,5] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[5,1,4,2,2,2] => [2,2,2,4,1,5] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[5,2,1,2,2,4] => [4,2,2,1,2,5] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[5,2,1,2,4,2] => [2,4,2,1,2,5] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[5,2,1,4,2,2] => [2,2,4,1,2,5] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,2,1,2,4] => [4,2,1,2,2,5] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[5,2,2,1,4,2] => [2,4,1,2,2,5] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[5,2,2,2,1,4] => [4,1,2,2,2,5] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[5,2,2,2,4,1] => [1,4,2,2,2,5] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[5,2,2,4,1,2] => [2,1,4,2,2,5] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[5,2,2,4,2,1] => [1,2,4,2,2,5] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[5,2,4,1,2,2] => [2,2,1,4,2,5] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[5,2,4,2,1,2] => [2,1,2,4,2,5] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[5,2,4,2,2,1] => [1,2,2,4,2,5] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[5,4,1,2,2,2] => [2,2,2,1,4,5] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[5,4,2,1,2,2] => [2,2,1,2,4,5] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[5,4,2,2,1,2] => [2,1,2,2,4,5] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[5,4,2,2,2,1] => [1,2,2,2,4,5] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,2,4,6] => [6,4,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,6,4] => [4,6,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,4,2,6] => [6,2,4,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,4,6,2] => [2,6,4,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,6,2,4] => [4,2,6,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,6,4,2] => [2,4,6,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,4,2,2,6] => [6,2,2,4,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,4,2,6,2] => [2,6,2,4,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,4,6,2,2] => [2,2,6,4,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,6,2,2,4] => [4,2,2,6,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,6,2,4,2] => [2,4,2,6,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,6,4,2,2] => [2,2,4,6,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,4,2,2,2,6] => [6,2,2,2,4,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,4,2,2,6,2] => [2,6,2,2,4,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,4,2,6,2,2] => [2,2,6,2,4,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,4,6,2,2,2] => [2,2,2,6,4,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,6,2,2,2,4] => [4,2,2,2,6,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,6,2,2,4,2] => [2,4,2,2,6,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,6,2,4,2,2] => [2,2,4,2,6,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,6,4,2,2,2] => [2,2,2,4,6,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,4,6] => [6,4,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,6,4] => [4,6,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,4,2,6] => [6,2,4,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,4,6,2] => [2,6,4,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,6,2,4] => [4,2,6,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,6,4,2] => [2,4,6,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,4,2,2,6] => [6,2,2,4,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,4,2,6,2] => [2,6,2,4,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,4,6,2,2] => [2,2,6,4,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,6,2,2,4] => [4,2,2,6,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,6,2,4,2] => [2,4,2,6,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,6,4,2,2] => [2,2,4,6,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,4,6] => [6,4,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,6,4] => [4,6,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,4,2,6] => [6,2,4,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,4,6,2] => [2,6,4,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,6,2,4] => [4,2,6,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,6,4,2] => [2,4,6,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,4,6] => [6,4,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,6,4] => [4,6,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,1,6] => [6,1,4,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,4,6,1] => [1,6,4,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,1,4] => [4,1,6,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,4,1] => [1,4,6,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,4,1,2,6] => [6,2,1,4,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,4,1,6,2] => [2,6,1,4,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,4,2,1,6] => [6,1,2,4,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,4,2,6,1] => [1,6,2,4,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,4,6,1,2] => [2,1,6,4,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,4,6,2,1] => [1,2,6,4,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,2,4] => [4,2,1,6,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,4,2] => [2,4,1,6,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,2,1,4] => [4,1,2,6,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,2,4,1] => [1,4,2,6,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,4,1,2] => [2,1,4,6,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,4,2,1] => [1,2,4,6,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,4,1,2,2,6] => [6,2,2,1,4,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,4,1,2,6,2] => [2,6,2,1,4,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,4,1,6,2,2] => [2,2,6,1,4,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,4,2,1,2,6] => [6,2,1,2,4,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,4,2,1,6,2] => [2,6,1,2,4,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,4,2,2,1,6] => [6,1,2,2,4,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,4,2,2,6,1] => [1,6,2,2,4,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,4,2,6,1,2] => [2,1,6,2,4,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,4,2,6,2,1] => [1,2,6,2,4,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,4,6,1,2,2] => [2,2,1,6,4,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,4,6,2,1,2] => [2,1,2,6,4,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,4,6,2,2,1] => [1,2,2,6,4,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,2,4] => [4,2,2,1,6,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,4,2] => [2,4,2,1,6,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,1,4,2,2] => [2,2,4,1,6,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,2,1,2,4] => [4,2,1,2,6,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,2,1,4,2] => [2,4,1,2,6,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,2,1,4] => [4,1,2,2,6,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,2,4,1] => [1,4,2,2,6,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,4,1,2] => [2,1,4,2,6,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,4,2,1] => [1,2,4,2,6,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,4,1,2,2] => [2,2,1,4,6,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,4,2,1,2] => [2,1,2,4,6,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,4,2,2,1] => [1,2,2,4,6,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[4,1,2,2,2,6] => [6,2,2,2,1,4] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[4,1,2,2,6,2] => [2,6,2,2,1,4] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[4,1,2,6,2,2] => [2,2,6,2,1,4] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[4,1,6,2,2,2] => [2,2,2,6,1,4] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[4,2,1,2,2,6] => [6,2,2,1,2,4] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[4,2,1,2,6,2] => [2,6,2,1,2,4] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[4,2,1,6,2,2] => [2,2,6,1,2,4] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[4,2,2,1,2,6] => [6,2,1,2,2,4] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[4,2,2,1,6,2] => [2,6,1,2,2,4] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[4,2,2,2,1,6] => [6,1,2,2,2,4] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[4,2,2,2,6,1] => [1,6,2,2,2,4] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[4,2,2,6,1,2] => [2,1,6,2,2,4] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[4,2,2,6,2,1] => [1,2,6,2,2,4] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[4,2,6,1,2,2] => [2,2,1,6,2,4] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[4,2,6,2,1,2] => [2,1,2,6,2,4] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[4,2,6,2,2,1] => [1,2,2,6,2,4] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[4,6,1,2,2,2] => [2,2,2,1,6,4] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[4,6,2,1,2,2] => [2,2,1,2,6,4] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[4,6,2,2,1,2] => [2,1,2,2,6,4] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[4,6,2,2,2,1] => [1,2,2,2,6,4] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,2,4] => [4,2,2,2,1,6] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,4,2] => [2,4,2,2,1,6] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,1,2,4,2,2] => [2,2,4,2,1,6] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,1,4,2,2,2] => [2,2,2,4,1,6] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,2,1,2,2,4] => [4,2,2,1,2,6] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,2,1,2,4,2] => [2,4,2,1,2,6] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,1,4,2,2] => [2,2,4,1,2,6] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,2,1,2,4] => [4,2,1,2,2,6] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,2,1,4,2] => [2,4,1,2,2,6] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,2,1,4] => [4,1,2,2,2,6] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,2,4,1] => [1,4,2,2,2,6] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,4,1,2] => [2,1,4,2,2,6] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,4,2,1] => [1,2,4,2,2,6] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,4,1,2,2] => [2,2,1,4,2,6] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,4,2,1,2] => [2,1,2,4,2,6] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,4,2,2,1] => [1,2,2,4,2,6] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,4,1,2,2,2] => [2,2,2,1,4,6] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[6,4,2,1,2,2] => [2,2,1,2,4,6] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,4,2,2,1,2] => [2,1,2,2,4,6] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,4,2,2,2,1] => [1,2,2,2,4,6] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,2,5,5] => [5,5,2,2,2,1] => [{6},{3,4,5},{1,2}] => {{1,2},{3,4,5},{6}}
[1,2,2,5,2,5] => [5,2,5,2,2,1] => [{6},{2,4,5},{1,3}] => {{1,3},{2,4,5},{6}}
[1,2,2,5,5,2] => [2,5,5,2,2,1] => [{6},{1,4,5},{2,3}] => {{1,4,5},{2,3},{6}}
[1,2,5,2,2,5] => [5,2,2,5,2,1] => [{6},{2,3,5},{1,4}] => {{1,4},{2,3,5},{6}}
[1,2,5,2,5,2] => [2,5,2,5,2,1] => [{6},{1,3,5},{2,4}] => {{1,3,5},{2,4},{6}}
[1,2,5,5,2,2] => [2,2,5,5,2,1] => [{6},{1,2,5},{3,4}] => {{1,2,5},{3,4},{6}}
[1,5,2,2,2,5] => [5,2,2,2,5,1] => [{6},{2,3,4},{1,5}] => {{1,5},{2,3,4},{6}}
[1,5,2,2,5,2] => [2,5,2,2,5,1] => [{6},{1,3,4},{2,5}] => {{1,3,4},{2,5},{6}}
[1,5,2,5,2,2] => [2,2,5,2,5,1] => [{6},{1,2,4},{3,5}] => {{1,2,4},{3,5},{6}}
[1,5,5,2,2,2] => [2,2,2,5,5,1] => [{6},{1,2,3},{4,5}] => {{1,2,3},{4,5},{6}}
[2,1,2,2,5,5] => [5,5,2,2,1,2] => [{5},{3,4,6},{1,2}] => {{1,2},{3,4,6},{5}}
[2,1,2,5,2,5] => [5,2,5,2,1,2] => [{5},{2,4,6},{1,3}] => {{1,3},{2,4,6},{5}}
[2,1,2,5,5,2] => [2,5,5,2,1,2] => [{5},{1,4,6},{2,3}] => {{1,4,6},{2,3},{5}}
[2,1,5,2,2,5] => [5,2,2,5,1,2] => [{5},{2,3,6},{1,4}] => {{1,4},{2,3,6},{5}}
[2,1,5,2,5,2] => [2,5,2,5,1,2] => [{5},{1,3,6},{2,4}] => {{1,3,6},{2,4},{5}}
[2,1,5,5,2,2] => [2,2,5,5,1,2] => [{5},{1,2,6},{3,4}] => {{1,2,6},{3,4},{5}}
[2,2,1,2,5,5] => [5,5,2,1,2,2] => [{4},{3,5,6},{1,2}] => {{1,2},{3,5,6},{4}}
[2,2,1,5,2,5] => [5,2,5,1,2,2] => [{4},{2,5,6},{1,3}] => {{1,3},{2,5,6},{4}}
[2,2,1,5,5,2] => [2,5,5,1,2,2] => [{4},{1,5,6},{2,3}] => {{1,5,6},{2,3},{4}}
[2,2,2,1,5,5] => [5,5,1,2,2,2] => [{3},{4,5,6},{1,2}] => {{1,2},{3},{4,5,6}}
[2,2,2,5,1,5] => [5,1,5,2,2,2] => [{2},{4,5,6},{1,3}] => {{1,3},{2},{4,5,6}}
[2,2,2,5,5,1] => [1,5,5,2,2,2] => [{1},{4,5,6},{2,3}] => {{1},{2,3},{4,5,6}}
[2,2,5,1,2,5] => [5,2,1,5,2,2] => [{3},{2,5,6},{1,4}] => {{1,4},{2,5,6},{3}}
[2,2,5,1,5,2] => [2,5,1,5,2,2] => [{3},{1,5,6},{2,4}] => {{1,5,6},{2,4},{3}}
[2,2,5,2,1,5] => [5,1,2,5,2,2] => [{2},{3,5,6},{1,4}] => {{1,4},{2},{3,5,6}}
[2,2,5,2,5,1] => [1,5,2,5,2,2] => [{1},{3,5,6},{2,4}] => {{1},{2,4},{3,5,6}}
[2,2,5,5,1,2] => [2,1,5,5,2,2] => [{2},{1,5,6},{3,4}] => {{1,5,6},{2},{3,4}}
[2,2,5,5,2,1] => [1,2,5,5,2,2] => [{1},{2,5,6},{3,4}] => {{1},{2,5,6},{3,4}}
[2,5,1,2,2,5] => [5,2,2,1,5,2] => [{4},{2,3,6},{1,5}] => {{1,5},{2,3,6},{4}}
[2,5,1,2,5,2] => [2,5,2,1,5,2] => [{4},{1,3,6},{2,5}] => {{1,3,6},{2,5},{4}}
[2,5,1,5,2,2] => [2,2,5,1,5,2] => [{4},{1,2,6},{3,5}] => {{1,2,6},{3,5},{4}}
[2,5,2,1,2,5] => [5,2,1,2,5,2] => [{3},{2,4,6},{1,5}] => {{1,5},{2,4,6},{3}}
[2,5,2,1,5,2] => [2,5,1,2,5,2] => [{3},{1,4,6},{2,5}] => {{1,4,6},{2,5},{3}}
[2,5,2,2,1,5] => [5,1,2,2,5,2] => [{2},{3,4,6},{1,5}] => {{1,5},{2},{3,4,6}}
[2,5,2,2,5,1] => [1,5,2,2,5,2] => [{1},{3,4,6},{2,5}] => {{1},{2,5},{3,4,6}}
[2,5,2,5,1,2] => [2,1,5,2,5,2] => [{2},{1,4,6},{3,5}] => {{1,4,6},{2},{3,5}}
[2,5,2,5,2,1] => [1,2,5,2,5,2] => [{1},{2,4,6},{3,5}] => {{1},{2,4,6},{3,5}}
[2,5,5,1,2,2] => [2,2,1,5,5,2] => [{3},{1,2,6},{4,5}] => {{1,2,6},{3},{4,5}}
[2,5,5,2,1,2] => [2,1,2,5,5,2] => [{2},{1,3,6},{4,5}] => {{1,3,6},{2},{4,5}}
[2,5,5,2,2,1] => [1,2,2,5,5,2] => [{1},{2,3,6},{4,5}] => {{1},{2,3,6},{4,5}}
[5,1,2,2,2,5] => [5,2,2,2,1,5] => [{5},{2,3,4},{1,6}] => {{1,6},{2,3,4},{5}}
[5,1,2,2,5,2] => [2,5,2,2,1,5] => [{5},{1,3,4},{2,6}] => {{1,3,4},{2,6},{5}}
[5,1,2,5,2,2] => [2,2,5,2,1,5] => [{5},{1,2,4},{3,6}] => {{1,2,4},{3,6},{5}}
[5,1,5,2,2,2] => [2,2,2,5,1,5] => [{5},{1,2,3},{4,6}] => {{1,2,3},{4,6},{5}}
[5,2,1,2,2,5] => [5,2,2,1,2,5] => [{4},{2,3,5},{1,6}] => {{1,6},{2,3,5},{4}}
[5,2,1,2,5,2] => [2,5,2,1,2,5] => [{4},{1,3,5},{2,6}] => {{1,3,5},{2,6},{4}}
[5,2,1,5,2,2] => [2,2,5,1,2,5] => [{4},{1,2,5},{3,6}] => {{1,2,5},{3,6},{4}}
[5,2,2,1,2,5] => [5,2,1,2,2,5] => [{3},{2,4,5},{1,6}] => {{1,6},{2,4,5},{3}}
[5,2,2,1,5,2] => [2,5,1,2,2,5] => [{3},{1,4,5},{2,6}] => {{1,4,5},{2,6},{3}}
[5,2,2,2,1,5] => [5,1,2,2,2,5] => [{2},{3,4,5},{1,6}] => {{1,6},{2},{3,4,5}}
[5,2,2,2,5,1] => [1,5,2,2,2,5] => [{1},{3,4,5},{2,6}] => {{1},{2,6},{3,4,5}}
[5,2,2,5,1,2] => [2,1,5,2,2,5] => [{2},{1,4,5},{3,6}] => {{1,4,5},{2},{3,6}}
[5,2,2,5,2,1] => [1,2,5,2,2,5] => [{1},{2,4,5},{3,6}] => {{1},{2,4,5},{3,6}}
[5,2,5,1,2,2] => [2,2,1,5,2,5] => [{3},{1,2,5},{4,6}] => {{1,2,5},{3},{4,6}}
[5,2,5,2,1,2] => [2,1,2,5,2,5] => [{2},{1,3,5},{4,6}] => {{1,3,5},{2},{4,6}}
[5,2,5,2,2,1] => [1,2,2,5,2,5] => [{1},{2,3,5},{4,6}] => {{1},{2,3,5},{4,6}}
[5,5,1,2,2,2] => [2,2,2,1,5,5] => [{4},{1,2,3},{5,6}] => {{1,2,3},{4},{5,6}}
[5,5,2,1,2,2] => [2,2,1,2,5,5] => [{3},{1,2,4},{5,6}] => {{1,2,4},{3},{5,6}}
[5,5,2,2,1,2] => [2,1,2,2,5,5] => [{2},{1,3,4},{5,6}] => {{1,3,4},{2},{5,6}}
[5,5,2,2,2,1] => [1,2,2,2,5,5] => [{1},{2,3,4},{5,6}] => {{1},{2,3,4},{5,6}}
[1,2,2,2,5,6] => [6,5,2,2,2,1] => [{6},{3,4,5},{2},{1}] => {{1},{2},{3,4,5},{6}}
[1,2,2,2,6,5] => [5,6,2,2,2,1] => [{6},{3,4,5},{1},{2}] => {{1},{2},{3,4,5},{6}}
[1,2,2,5,2,6] => [6,2,5,2,2,1] => [{6},{2,4,5},{3},{1}] => {{1},{2,4,5},{3},{6}}
[1,2,2,5,6,2] => [2,6,5,2,2,1] => [{6},{1,4,5},{3},{2}] => {{1,4,5},{2},{3},{6}}
[1,2,2,6,2,5] => [5,2,6,2,2,1] => [{6},{2,4,5},{1},{3}] => {{1},{2,4,5},{3},{6}}
[1,2,2,6,5,2] => [2,5,6,2,2,1] => [{6},{1,4,5},{2},{3}] => {{1,4,5},{2},{3},{6}}
[1,2,5,2,2,6] => [6,2,2,5,2,1] => [{6},{2,3,5},{4},{1}] => {{1},{2,3,5},{4},{6}}
[1,2,5,2,6,2] => [2,6,2,5,2,1] => [{6},{1,3,5},{4},{2}] => {{1,3,5},{2},{4},{6}}
[1,2,5,6,2,2] => [2,2,6,5,2,1] => [{6},{1,2,5},{4},{3}] => {{1,2,5},{3},{4},{6}}
[1,2,6,2,2,5] => [5,2,2,6,2,1] => [{6},{2,3,5},{1},{4}] => {{1},{2,3,5},{4},{6}}
[1,2,6,2,5,2] => [2,5,2,6,2,1] => [{6},{1,3,5},{2},{4}] => {{1,3,5},{2},{4},{6}}
[1,2,6,5,2,2] => [2,2,5,6,2,1] => [{6},{1,2,5},{3},{4}] => {{1,2,5},{3},{4},{6}}
[1,5,2,2,2,6] => [6,2,2,2,5,1] => [{6},{2,3,4},{5},{1}] => {{1},{2,3,4},{5},{6}}
[1,5,2,2,6,2] => [2,6,2,2,5,1] => [{6},{1,3,4},{5},{2}] => {{1,3,4},{2},{5},{6}}
[1,5,2,6,2,2] => [2,2,6,2,5,1] => [{6},{1,2,4},{5},{3}] => {{1,2,4},{3},{5},{6}}
[1,5,6,2,2,2] => [2,2,2,6,5,1] => [{6},{1,2,3},{5},{4}] => {{1,2,3},{4},{5},{6}}
[1,6,2,2,2,5] => [5,2,2,2,6,1] => [{6},{2,3,4},{1},{5}] => {{1},{2,3,4},{5},{6}}
[1,6,2,2,5,2] => [2,5,2,2,6,1] => [{6},{1,3,4},{2},{5}] => {{1,3,4},{2},{5},{6}}
[1,6,2,5,2,2] => [2,2,5,2,6,1] => [{6},{1,2,4},{3},{5}] => {{1,2,4},{3},{5},{6}}
[1,6,5,2,2,2] => [2,2,2,5,6,1] => [{6},{1,2,3},{4},{5}] => {{1,2,3},{4},{5},{6}}
[2,1,2,2,5,6] => [6,5,2,2,1,2] => [{5},{3,4,6},{2},{1}] => {{1},{2},{3,4,6},{5}}
[2,1,2,2,6,5] => [5,6,2,2,1,2] => [{5},{3,4,6},{1},{2}] => {{1},{2},{3,4,6},{5}}
[2,1,2,5,2,6] => [6,2,5,2,1,2] => [{5},{2,4,6},{3},{1}] => {{1},{2,4,6},{3},{5}}
[2,1,2,5,6,2] => [2,6,5,2,1,2] => [{5},{1,4,6},{3},{2}] => {{1,4,6},{2},{3},{5}}
[2,1,2,6,2,5] => [5,2,6,2,1,2] => [{5},{2,4,6},{1},{3}] => {{1},{2,4,6},{3},{5}}
[2,1,2,6,5,2] => [2,5,6,2,1,2] => [{5},{1,4,6},{2},{3}] => {{1,4,6},{2},{3},{5}}
[2,1,5,2,2,6] => [6,2,2,5,1,2] => [{5},{2,3,6},{4},{1}] => {{1},{2,3,6},{4},{5}}
[2,1,5,2,6,2] => [2,6,2,5,1,2] => [{5},{1,3,6},{4},{2}] => {{1,3,6},{2},{4},{5}}
[2,1,5,6,2,2] => [2,2,6,5,1,2] => [{5},{1,2,6},{4},{3}] => {{1,2,6},{3},{4},{5}}
[2,1,6,2,2,5] => [5,2,2,6,1,2] => [{5},{2,3,6},{1},{4}] => {{1},{2,3,6},{4},{5}}
[2,1,6,2,5,2] => [2,5,2,6,1,2] => [{5},{1,3,6},{2},{4}] => {{1,3,6},{2},{4},{5}}
[2,1,6,5,2,2] => [2,2,5,6,1,2] => [{5},{1,2,6},{3},{4}] => {{1,2,6},{3},{4},{5}}
[2,2,1,2,5,6] => [6,5,2,1,2,2] => [{4},{3,5,6},{2},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,1,2,6,5] => [5,6,2,1,2,2] => [{4},{3,5,6},{1},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,1,5,2,6] => [6,2,5,1,2,2] => [{4},{2,5,6},{3},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,1,5,6,2] => [2,6,5,1,2,2] => [{4},{1,5,6},{3},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,1,6,2,5] => [5,2,6,1,2,2] => [{4},{2,5,6},{1},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,1,6,5,2] => [2,5,6,1,2,2] => [{4},{1,5,6},{2},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,2,1,5,6] => [6,5,1,2,2,2] => [{3},{4,5,6},{2},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,1,6,5] => [5,6,1,2,2,2] => [{3},{4,5,6},{1},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,1,6] => [6,1,5,2,2,2] => [{2},{4,5,6},{3},{1}] => {{1},{2},{3},{4,5,6}}
[2,2,2,5,6,1] => [1,6,5,2,2,2] => [{1},{4,5,6},{3},{2}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,1,5] => [5,1,6,2,2,2] => [{2},{4,5,6},{1},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,2,6,5,1] => [1,5,6,2,2,2] => [{1},{4,5,6},{2},{3}] => {{1},{2},{3},{4,5,6}}
[2,2,5,1,2,6] => [6,2,1,5,2,2] => [{3},{2,5,6},{4},{1}] => {{1},{2,5,6},{3},{4}}
[2,2,5,1,6,2] => [2,6,1,5,2,2] => [{3},{1,5,6},{4},{2}] => {{1,5,6},{2},{3},{4}}
[2,2,5,2,1,6] => [6,1,2,5,2,2] => [{2},{3,5,6},{4},{1}] => {{1},{2},{3,5,6},{4}}
[2,2,5,2,6,1] => [1,6,2,5,2,2] => [{1},{3,5,6},{4},{2}] => {{1},{2},{3,5,6},{4}}
[2,2,5,6,1,2] => [2,1,6,5,2,2] => [{2},{1,5,6},{4},{3}] => {{1,5,6},{2},{3},{4}}
[2,2,5,6,2,1] => [1,2,6,5,2,2] => [{1},{2,5,6},{4},{3}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,2,5] => [5,2,1,6,2,2] => [{3},{2,5,6},{1},{4}] => {{1},{2,5,6},{3},{4}}
[2,2,6,1,5,2] => [2,5,1,6,2,2] => [{3},{1,5,6},{2},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,2,1,5] => [5,1,2,6,2,2] => [{2},{3,5,6},{1},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,2,5,1] => [1,5,2,6,2,2] => [{1},{3,5,6},{2},{4}] => {{1},{2},{3,5,6},{4}}
[2,2,6,5,1,2] => [2,1,5,6,2,2] => [{2},{1,5,6},{3},{4}] => {{1,5,6},{2},{3},{4}}
[2,2,6,5,2,1] => [1,2,5,6,2,2] => [{1},{2,5,6},{3},{4}] => {{1},{2,5,6},{3},{4}}
[2,5,1,2,2,6] => [6,2,2,1,5,2] => [{4},{2,3,6},{5},{1}] => {{1},{2,3,6},{4},{5}}
[2,5,1,2,6,2] => [2,6,2,1,5,2] => [{4},{1,3,6},{5},{2}] => {{1,3,6},{2},{4},{5}}
[2,5,1,6,2,2] => [2,2,6,1,5,2] => [{4},{1,2,6},{5},{3}] => {{1,2,6},{3},{4},{5}}
[2,5,2,1,2,6] => [6,2,1,2,5,2] => [{3},{2,4,6},{5},{1}] => {{1},{2,4,6},{3},{5}}
[2,5,2,1,6,2] => [2,6,1,2,5,2] => [{3},{1,4,6},{5},{2}] => {{1,4,6},{2},{3},{5}}
[2,5,2,2,1,6] => [6,1,2,2,5,2] => [{2},{3,4,6},{5},{1}] => {{1},{2},{3,4,6},{5}}
[2,5,2,2,6,1] => [1,6,2,2,5,2] => [{1},{3,4,6},{5},{2}] => {{1},{2},{3,4,6},{5}}
[2,5,2,6,1,2] => [2,1,6,2,5,2] => [{2},{1,4,6},{5},{3}] => {{1,4,6},{2},{3},{5}}
[2,5,2,6,2,1] => [1,2,6,2,5,2] => [{1},{2,4,6},{5},{3}] => {{1},{2,4,6},{3},{5}}
[2,5,6,1,2,2] => [2,2,1,6,5,2] => [{3},{1,2,6},{5},{4}] => {{1,2,6},{3},{4},{5}}
[2,5,6,2,1,2] => [2,1,2,6,5,2] => [{2},{1,3,6},{5},{4}] => {{1,3,6},{2},{4},{5}}
[2,5,6,2,2,1] => [1,2,2,6,5,2] => [{1},{2,3,6},{5},{4}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,2,5] => [5,2,2,1,6,2] => [{4},{2,3,6},{1},{5}] => {{1},{2,3,6},{4},{5}}
[2,6,1,2,5,2] => [2,5,2,1,6,2] => [{4},{1,3,6},{2},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,1,5,2,2] => [2,2,5,1,6,2] => [{4},{1,2,6},{3},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,2,1,2,5] => [5,2,1,2,6,2] => [{3},{2,4,6},{1},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,2,1,5,2] => [2,5,1,2,6,2] => [{3},{1,4,6},{2},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,2,1,5] => [5,1,2,2,6,2] => [{2},{3,4,6},{1},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,2,5,1] => [1,5,2,2,6,2] => [{1},{3,4,6},{2},{5}] => {{1},{2},{3,4,6},{5}}
[2,6,2,5,1,2] => [2,1,5,2,6,2] => [{2},{1,4,6},{3},{5}] => {{1,4,6},{2},{3},{5}}
[2,6,2,5,2,1] => [1,2,5,2,6,2] => [{1},{2,4,6},{3},{5}] => {{1},{2,4,6},{3},{5}}
[2,6,5,1,2,2] => [2,2,1,5,6,2] => [{3},{1,2,6},{4},{5}] => {{1,2,6},{3},{4},{5}}
[2,6,5,2,1,2] => [2,1,2,5,6,2] => [{2},{1,3,6},{4},{5}] => {{1,3,6},{2},{4},{5}}
[2,6,5,2,2,1] => [1,2,2,5,6,2] => [{1},{2,3,6},{4},{5}] => {{1},{2,3,6},{4},{5}}
[5,1,2,2,2,6] => [6,2,2,2,1,5] => [{5},{2,3,4},{6},{1}] => {{1},{2,3,4},{5},{6}}
[5,1,2,2,6,2] => [2,6,2,2,1,5] => [{5},{1,3,4},{6},{2}] => {{1,3,4},{2},{5},{6}}
[5,1,2,6,2,2] => [2,2,6,2,1,5] => [{5},{1,2,4},{6},{3}] => {{1,2,4},{3},{5},{6}}
[5,1,6,2,2,2] => [2,2,2,6,1,5] => [{5},{1,2,3},{6},{4}] => {{1,2,3},{4},{5},{6}}
[5,2,1,2,2,6] => [6,2,2,1,2,5] => [{4},{2,3,5},{6},{1}] => {{1},{2,3,5},{4},{6}}
[5,2,1,2,6,2] => [2,6,2,1,2,5] => [{4},{1,3,5},{6},{2}] => {{1,3,5},{2},{4},{6}}
[5,2,1,6,2,2] => [2,2,6,1,2,5] => [{4},{1,2,5},{6},{3}] => {{1,2,5},{3},{4},{6}}
[5,2,2,1,2,6] => [6,2,1,2,2,5] => [{3},{2,4,5},{6},{1}] => {{1},{2,4,5},{3},{6}}
[5,2,2,1,6,2] => [2,6,1,2,2,5] => [{3},{1,4,5},{6},{2}] => {{1,4,5},{2},{3},{6}}
[5,2,2,2,1,6] => [6,1,2,2,2,5] => [{2},{3,4,5},{6},{1}] => {{1},{2},{3,4,5},{6}}
[5,2,2,2,6,1] => [1,6,2,2,2,5] => [{1},{3,4,5},{6},{2}] => {{1},{2},{3,4,5},{6}}
[5,2,2,6,1,2] => [2,1,6,2,2,5] => [{2},{1,4,5},{6},{3}] => {{1,4,5},{2},{3},{6}}
[5,2,2,6,2,1] => [1,2,6,2,2,5] => [{1},{2,4,5},{6},{3}] => {{1},{2,4,5},{3},{6}}
[5,2,6,1,2,2] => [2,2,1,6,2,5] => [{3},{1,2,5},{6},{4}] => {{1,2,5},{3},{4},{6}}
[5,2,6,2,1,2] => [2,1,2,6,2,5] => [{2},{1,3,5},{6},{4}] => {{1,3,5},{2},{4},{6}}
[5,2,6,2,2,1] => [1,2,2,6,2,5] => [{1},{2,3,5},{6},{4}] => {{1},{2,3,5},{4},{6}}
[5,6,1,2,2,2] => [2,2,2,1,6,5] => [{4},{1,2,3},{6},{5}] => {{1,2,3},{4},{5},{6}}
[5,6,2,1,2,2] => [2,2,1,2,6,5] => [{3},{1,2,4},{6},{5}] => {{1,2,4},{3},{5},{6}}
[5,6,2,2,1,2] => [2,1,2,2,6,5] => [{2},{1,3,4},{6},{5}] => {{1,3,4},{2},{5},{6}}
[5,6,2,2,2,1] => [1,2,2,2,6,5] => [{1},{2,3,4},{6},{5}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,2,5] => [5,2,2,2,1,6] => [{5},{2,3,4},{1},{6}] => {{1},{2,3,4},{5},{6}}
[6,1,2,2,5,2] => [2,5,2,2,1,6] => [{5},{1,3,4},{2},{6}] => {{1,3,4},{2},{5},{6}}
[6,1,2,5,2,2] => [2,2,5,2,1,6] => [{5},{1,2,4},{3},{6}] => {{1,2,4},{3},{5},{6}}
[6,1,5,2,2,2] => [2,2,2,5,1,6] => [{5},{1,2,3},{4},{6}] => {{1,2,3},{4},{5},{6}}
[6,2,1,2,2,5] => [5,2,2,1,2,6] => [{4},{2,3,5},{1},{6}] => {{1},{2,3,5},{4},{6}}
[6,2,1,2,5,2] => [2,5,2,1,2,6] => [{4},{1,3,5},{2},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,1,5,2,2] => [2,2,5,1,2,6] => [{4},{1,2,5},{3},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,2,1,2,5] => [5,2,1,2,2,6] => [{3},{2,4,5},{1},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,2,1,5,2] => [2,5,1,2,2,6] => [{3},{1,4,5},{2},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,2,1,5] => [5,1,2,2,2,6] => [{2},{3,4,5},{1},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,2,5,1] => [1,5,2,2,2,6] => [{1},{3,4,5},{2},{6}] => {{1},{2},{3,4,5},{6}}
[6,2,2,5,1,2] => [2,1,5,2,2,6] => [{2},{1,4,5},{3},{6}] => {{1,4,5},{2},{3},{6}}
[6,2,2,5,2,1] => [1,2,5,2,2,6] => [{1},{2,4,5},{3},{6}] => {{1},{2,4,5},{3},{6}}
[6,2,5,1,2,2] => [2,2,1,5,2,6] => [{3},{1,2,5},{4},{6}] => {{1,2,5},{3},{4},{6}}
[6,2,5,2,1,2] => [2,1,2,5,2,6] => [{2},{1,3,5},{4},{6}] => {{1,3,5},{2},{4},{6}}
[6,2,5,2,2,1] => [1,2,2,5,2,6] => [{1},{2,3,5},{4},{6}] => {{1},{2,3,5},{4},{6}}
[6,5,1,2,2,2] => [2,2,2,1,5,6] => [{4},{1,2,3},{5},{6}] => {{1,2,3},{4},{5},{6}}
[6,5,2,1,2,2] => [2,2,1,2,5,6] => [{3},{1,2,4},{5},{6}] => {{1,2,4},{3},{5},{6}}
[6,5,2,2,1,2] => [2,1,2,2,5,6] => [{2},{1,3,4},{5},{6}] => {{1,3,4},{2},{5},{6}}
[6,5,2,2,2,1] => [1,2,2,2,5,6] => [{1},{2,3,4},{5},{6}] => {{1},{2,3,4},{5},{6}}
[1,2,2,3,3,3] => [3,3,3,2,2,1] => [{6},{4,5},{1,2,3}] => {{1,2,3},{4,5},{6}}
[1,2,3,2,3,3] => [3,3,2,3,2,1] => [{6},{3,5},{1,2,4}] => {{1,2,4},{3,5},{6}}
[1,2,3,3,2,3] => [3,2,3,3,2,1] => [{6},{2,5},{1,3,4}] => {{1,3,4},{2,5},{6}}
[1,2,3,3,3,2] => [2,3,3,3,2,1] => [{6},{1,5},{2,3,4}] => {{1,5},{2,3,4},{6}}
[1,3,2,2,3,3] => [3,3,2,2,3,1] => [{6},{3,4},{1,2,5}] => {{1,2,5},{3,4},{6}}
[1,3,2,3,2,3] => [3,2,3,2,3,1] => [{6},{2,4},{1,3,5}] => {{1,3,5},{2,4},{6}}
[1,3,2,3,3,2] => [2,3,3,2,3,1] => [{6},{1,4},{2,3,5}] => {{1,4},{2,3,5},{6}}
[1,3,3,2,2,3] => [3,2,2,3,3,1] => [{6},{2,3},{1,4,5}] => {{1,4,5},{2,3},{6}}
[1,3,3,2,3,2] => [2,3,2,3,3,1] => [{6},{1,3},{2,4,5}] => {{1,3},{2,4,5},{6}}
[1,3,3,3,2,2] => [2,2,3,3,3,1] => [{6},{1,2},{3,4,5}] => {{1,2},{3,4,5},{6}}
[2,1,2,3,3,3] => [3,3,3,2,1,2] => [{5},{4,6},{1,2,3}] => {{1,2,3},{4,6},{5}}
[2,1,3,2,3,3] => [3,3,2,3,1,2] => [{5},{3,6},{1,2,4}] => {{1,2,4},{3,6},{5}}
[2,1,3,3,2,3] => [3,2,3,3,1,2] => [{5},{2,6},{1,3,4}] => {{1,3,4},{2,6},{5}}
[2,1,3,3,3,2] => [2,3,3,3,1,2] => [{5},{1,6},{2,3,4}] => {{1,6},{2,3,4},{5}}
[2,2,1,3,3,3] => [3,3,3,1,2,2] => [{4},{5,6},{1,2,3}] => {{1,2,3},{4},{5,6}}
[2,2,3,1,3,3] => [3,3,1,3,2,2] => [{3},{5,6},{1,2,4}] => {{1,2,4},{3},{5,6}}
[2,2,3,3,1,3] => [3,1,3,3,2,2] => [{2},{5,6},{1,3,4}] => {{1,3,4},{2},{5,6}}
[2,2,3,3,3,1] => [1,3,3,3,2,2] => [{1},{5,6},{2,3,4}] => {{1},{2,3,4},{5,6}}
[2,3,1,2,3,3] => [3,3,2,1,3,2] => [{4},{3,6},{1,2,5}] => {{1,2,5},{3,6},{4}}
[2,3,1,3,2,3] => [3,2,3,1,3,2] => [{4},{2,6},{1,3,5}] => {{1,3,5},{2,6},{4}}
[2,3,1,3,3,2] => [2,3,3,1,3,2] => [{4},{1,6},{2,3,5}] => {{1,6},{2,3,5},{4}}
[2,3,2,1,3,3] => [3,3,1,2,3,2] => [{3},{4,6},{1,2,5}] => {{1,2,5},{3},{4,6}}
[2,3,2,3,1,3] => [3,1,3,2,3,2] => [{2},{4,6},{1,3,5}] => {{1,3,5},{2},{4,6}}
[2,3,2,3,3,1] => [1,3,3,2,3,2] => [{1},{4,6},{2,3,5}] => {{1},{2,3,5},{4,6}}
[2,3,3,1,2,3] => [3,2,1,3,3,2] => [{3},{2,6},{1,4,5}] => {{1,4,5},{2,6},{3}}
[2,3,3,1,3,2] => [2,3,1,3,3,2] => [{3},{1,6},{2,4,5}] => {{1,6},{2,4,5},{3}}
[2,3,3,2,1,3] => [3,1,2,3,3,2] => [{2},{3,6},{1,4,5}] => {{1,4,5},{2},{3,6}}
[2,3,3,2,3,1] => [1,3,2,3,3,2] => [{1},{3,6},{2,4,5}] => {{1},{2,4,5},{3,6}}
[2,3,3,3,1,2] => [2,1,3,3,3,2] => [{2},{1,6},{3,4,5}] => {{1,6},{2},{3,4,5}}
[2,3,3,3,2,1] => [1,2,3,3,3,2] => [{1},{2,6},{3,4,5}] => {{1},{2,6},{3,4,5}}
[3,1,2,2,3,3] => [3,3,2,2,1,3] => [{5},{3,4},{1,2,6}] => {{1,2,6},{3,4},{5}}
[3,1,2,3,2,3] => [3,2,3,2,1,3] => [{5},{2,4},{1,3,6}] => {{1,3,6},{2,4},{5}}
[3,1,2,3,3,2] => [2,3,3,2,1,3] => [{5},{1,4},{2,3,6}] => {{1,4},{2,3,6},{5}}
[3,1,3,2,2,3] => [3,2,2,3,1,3] => [{5},{2,3},{1,4,6}] => {{1,4,6},{2,3},{5}}
[3,1,3,2,3,2] => [2,3,2,3,1,3] => [{5},{1,3},{2,4,6}] => {{1,3},{2,4,6},{5}}
[3,1,3,3,2,2] => [2,2,3,3,1,3] => [{5},{1,2},{3,4,6}] => {{1,2},{3,4,6},{5}}
[3,2,1,2,3,3] => [3,3,2,1,2,3] => [{4},{3,5},{1,2,6}] => {{1,2,6},{3,5},{4}}
[3,2,1,3,2,3] => [3,2,3,1,2,3] => [{4},{2,5},{1,3,6}] => {{1,3,6},{2,5},{4}}
[3,2,1,3,3,2] => [2,3,3,1,2,3] => [{4},{1,5},{2,3,6}] => {{1,5},{2,3,6},{4}}
[3,2,2,1,3,3] => [3,3,1,2,2,3] => [{3},{4,5},{1,2,6}] => {{1,2,6},{3},{4,5}}
[3,2,2,3,1,3] => [3,1,3,2,2,3] => [{2},{4,5},{1,3,6}] => {{1,3,6},{2},{4,5}}
[3,2,2,3,3,1] => [1,3,3,2,2,3] => [{1},{4,5},{2,3,6}] => {{1},{2,3,6},{4,5}}
[3,2,3,1,2,3] => [3,2,1,3,2,3] => [{3},{2,5},{1,4,6}] => {{1,4,6},{2,5},{3}}
[3,2,3,1,3,2] => [2,3,1,3,2,3] => [{3},{1,5},{2,4,6}] => {{1,5},{2,4,6},{3}}
[3,2,3,2,1,3] => [3,1,2,3,2,3] => [{2},{3,5},{1,4,6}] => {{1,4,6},{2},{3,5}}
[3,2,3,2,3,1] => [1,3,2,3,2,3] => [{1},{3,5},{2,4,6}] => {{1},{2,4,6},{3,5}}
[3,2,3,3,1,2] => [2,1,3,3,2,3] => [{2},{1,5},{3,4,6}] => {{1,5},{2},{3,4,6}}
[3,2,3,3,2,1] => [1,2,3,3,2,3] => [{1},{2,5},{3,4,6}] => {{1},{2,5},{3,4,6}}
[3,3,1,2,2,3] => [3,2,2,1,3,3] => [{4},{2,3},{1,5,6}] => {{1,5,6},{2,3},{4}}
[3,3,1,2,3,2] => [2,3,2,1,3,3] => [{4},{1,3},{2,5,6}] => {{1,3},{2,5,6},{4}}
[3,3,1,3,2,2] => [2,2,3,1,3,3] => [{4},{1,2},{3,5,6}] => {{1,2},{3,5,6},{4}}
[3,3,2,1,2,3] => [3,2,1,2,3,3] => [{3},{2,4},{1,5,6}] => {{1,5,6},{2,4},{3}}
[3,3,2,1,3,2] => [2,3,1,2,3,3] => [{3},{1,4},{2,5,6}] => {{1,4},{2,5,6},{3}}
[3,3,2,2,1,3] => [3,1,2,2,3,3] => [{2},{3,4},{1,5,6}] => {{1,5,6},{2},{3,4}}
[3,3,2,2,3,1] => [1,3,2,2,3,3] => [{1},{3,4},{2,5,6}] => {{1},{2,5,6},{3,4}}
[3,3,2,3,1,2] => [2,1,3,2,3,3] => [{2},{1,4},{3,5,6}] => {{1,4},{2},{3,5,6}}
[3,3,2,3,2,1] => [1,2,3,2,3,3] => [{1},{2,4},{3,5,6}] => {{1},{2,4},{3,5,6}}
[3,3,3,1,2,2] => [2,2,1,3,3,3] => [{3},{1,2},{4,5,6}] => {{1,2},{3},{4,5,6}}
[3,3,3,2,1,2] => [2,1,2,3,3,3] => [{2},{1,3},{4,5,6}] => {{1,3},{2},{4,5,6}}
[3,3,3,2,2,1] => [1,2,2,3,3,3] => [{1},{2,3},{4,5,6}] => {{1},{2,3},{4,5,6}}
[1,2,2,3,3,4] => [4,3,3,2,2,1] => [{6},{4,5},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,4,3] => [3,4,3,2,2,1] => [{6},{4,5},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[1,2,2,4,3,3] => [3,3,4,2,2,1] => [{6},{4,5},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[1,2,3,2,3,4] => [4,3,2,3,2,1] => [{6},{3,5},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[1,2,3,2,4,3] => [3,4,2,3,2,1] => [{6},{3,5},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[1,2,3,3,2,4] => [4,2,3,3,2,1] => [{6},{2,5},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[1,2,3,3,4,2] => [2,4,3,3,2,1] => [{6},{1,5},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[1,2,3,4,2,3] => [3,2,4,3,2,1] => [{6},{2,5},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[1,2,3,4,3,2] => [2,3,4,3,2,1] => [{6},{1,5},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[1,2,4,2,3,3] => [3,3,2,4,2,1] => [{6},{3,5},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[1,2,4,3,2,3] => [3,2,3,4,2,1] => [{6},{2,5},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[1,2,4,3,3,2] => [2,3,3,4,2,1] => [{6},{1,5},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,2,2,3,4] => [4,3,2,2,3,1] => [{6},{3,4},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[1,3,2,2,4,3] => [3,4,2,2,3,1] => [{6},{3,4},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[1,3,2,3,2,4] => [4,2,3,2,3,1] => [{6},{2,4},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[1,3,2,3,4,2] => [2,4,3,2,3,1] => [{6},{1,4},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[1,3,2,4,2,3] => [3,2,4,2,3,1] => [{6},{2,4},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[1,3,2,4,3,2] => [2,3,4,2,3,1] => [{6},{1,4},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[1,3,3,2,2,4] => [4,2,2,3,3,1] => [{6},{2,3},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[1,3,3,2,4,2] => [2,4,2,3,3,1] => [{6},{1,3},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[1,3,3,4,2,2] => [2,2,4,3,3,1] => [{6},{1,2},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[1,3,4,2,2,3] => [3,2,2,4,3,1] => [{6},{2,3},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,4,2,3,2] => [2,3,2,4,3,1] => [{6},{1,3},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[1,3,4,3,2,2] => [2,2,3,4,3,1] => [{6},{1,2},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[1,4,2,2,3,3] => [3,3,2,2,4,1] => [{6},{3,4},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[1,4,2,3,2,3] => [3,2,3,2,4,1] => [{6},{2,4},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[1,4,2,3,3,2] => [2,3,3,2,4,1] => [{6},{1,4},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[1,4,3,2,2,3] => [3,2,2,3,4,1] => [{6},{2,3},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[1,4,3,2,3,2] => [2,3,2,3,4,1] => [{6},{1,3},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[1,4,3,3,2,2] => [2,2,3,3,4,1] => [{6},{1,2},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[2,1,2,3,3,4] => [4,3,3,2,1,2] => [{5},{4,6},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[2,1,2,3,4,3] => [3,4,3,2,1,2] => [{5},{4,6},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[2,1,2,4,3,3] => [3,3,4,2,1,2] => [{5},{4,6},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[2,1,3,2,3,4] => [4,3,2,3,1,2] => [{5},{3,6},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[2,1,3,2,4,3] => [3,4,2,3,1,2] => [{5},{3,6},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[2,1,3,3,2,4] => [4,2,3,3,1,2] => [{5},{2,6},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[2,1,3,3,4,2] => [2,4,3,3,1,2] => [{5},{1,6},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[2,1,3,4,2,3] => [3,2,4,3,1,2] => [{5},{2,6},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[2,1,3,4,3,2] => [2,3,4,3,1,2] => [{5},{1,6},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[2,1,4,2,3,3] => [3,3,2,4,1,2] => [{5},{3,6},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[2,1,4,3,2,3] => [3,2,3,4,1,2] => [{5},{2,6},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[2,1,4,3,3,2] => [2,3,3,4,1,2] => [{5},{1,6},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[2,2,1,3,3,4] => [4,3,3,1,2,2] => [{4},{5,6},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,1,3,4,3] => [3,4,3,1,2,2] => [{4},{5,6},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,1,4,3,3] => [3,3,4,1,2,2] => [{4},{5,6},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,3,1,3,4] => [4,3,1,3,2,2] => [{3},{5,6},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,3,1,4,3] => [3,4,1,3,2,2] => [{3},{5,6},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,3,3,1,4] => [4,1,3,3,2,2] => [{2},{5,6},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,3,3,4,1] => [1,4,3,3,2,2] => [{1},{5,6},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,3,4,1,3] => [3,1,4,3,2,2] => [{2},{5,6},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,4,3,1] => [1,3,4,3,2,2] => [{1},{5,6},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,4,1,3,3] => [3,3,1,4,2,2] => [{3},{5,6},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[2,2,4,3,1,3] => [3,1,3,4,2,2] => [{2},{5,6},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,4,3,3,1] => [1,3,3,4,2,2] => [{1},{5,6},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[2,3,1,2,3,4] => [4,3,2,1,3,2] => [{4},{3,6},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[2,3,1,2,4,3] => [3,4,2,1,3,2] => [{4},{3,6},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[2,3,1,3,2,4] => [4,2,3,1,3,2] => [{4},{2,6},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[2,3,1,3,4,2] => [2,4,3,1,3,2] => [{4},{1,6},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[2,3,1,4,2,3] => [3,2,4,1,3,2] => [{4},{2,6},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[2,3,1,4,3,2] => [2,3,4,1,3,2] => [{4},{1,6},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[2,3,2,1,3,4] => [4,3,1,2,3,2] => [{3},{4,6},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[2,3,2,1,4,3] => [3,4,1,2,3,2] => [{3},{4,6},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[2,3,2,3,1,4] => [4,1,3,2,3,2] => [{2},{4,6},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[2,3,2,3,4,1] => [1,4,3,2,3,2] => [{1},{4,6},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[2,3,2,4,1,3] => [3,1,4,2,3,2] => [{2},{4,6},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[2,3,2,4,3,1] => [1,3,4,2,3,2] => [{1},{4,6},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[2,3,3,1,2,4] => [4,2,1,3,3,2] => [{3},{2,6},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[2,3,3,1,4,2] => [2,4,1,3,3,2] => [{3},{1,6},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[2,3,3,2,1,4] => [4,1,2,3,3,2] => [{2},{3,6},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[2,3,3,2,4,1] => [1,4,2,3,3,2] => [{1},{3,6},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[2,3,3,4,1,2] => [2,1,4,3,3,2] => [{2},{1,6},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[2,3,3,4,2,1] => [1,2,4,3,3,2] => [{1},{2,6},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[2,3,4,1,2,3] => [3,2,1,4,3,2] => [{3},{2,6},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[2,3,4,1,3,2] => [2,3,1,4,3,2] => [{3},{1,6},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[2,3,4,2,1,3] => [3,1,2,4,3,2] => [{2},{3,6},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[2,3,4,2,3,1] => [1,3,2,4,3,2] => [{1},{3,6},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[2,3,4,3,1,2] => [2,1,3,4,3,2] => [{2},{1,6},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[2,3,4,3,2,1] => [1,2,3,4,3,2] => [{1},{2,6},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[2,4,1,2,3,3] => [3,3,2,1,4,2] => [{4},{3,6},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[2,4,1,3,2,3] => [3,2,3,1,4,2] => [{4},{2,6},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[2,4,1,3,3,2] => [2,3,3,1,4,2] => [{4},{1,6},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[2,4,2,1,3,3] => [3,3,1,2,4,2] => [{3},{4,6},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[2,4,2,3,1,3] => [3,1,3,2,4,2] => [{2},{4,6},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[2,4,2,3,3,1] => [1,3,3,2,4,2] => [{1},{4,6},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[2,4,3,1,2,3] => [3,2,1,3,4,2] => [{3},{2,6},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[2,4,3,1,3,2] => [2,3,1,3,4,2] => [{3},{1,6},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[2,4,3,2,1,3] => [3,1,2,3,4,2] => [{2},{3,6},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[2,4,3,2,3,1] => [1,3,2,3,4,2] => [{1},{3,6},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[2,4,3,3,1,2] => [2,1,3,3,4,2] => [{2},{1,6},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,4,3,3,2,1] => [1,2,3,3,4,2] => [{1},{2,6},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,3,4] => [4,3,2,2,1,3] => [{5},{3,4},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,4,3] => [3,4,2,2,1,3] => [{5},{3,4},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,1,2,3,2,4] => [4,2,3,2,1,3] => [{5},{2,4},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,1,2,3,4,2] => [2,4,3,2,1,3] => [{5},{1,4},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,1,2,4,2,3] => [3,2,4,2,1,3] => [{5},{2,4},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,1,2,4,3,2] => [2,3,4,2,1,3] => [{5},{1,4},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,1,3,2,2,4] => [4,2,2,3,1,3] => [{5},{2,3},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,1,3,2,4,2] => [2,4,2,3,1,3] => [{5},{1,3},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,1,3,4,2,2] => [2,2,4,3,1,3] => [{5},{1,2},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,1,4,2,2,3] => [3,2,2,4,1,3] => [{5},{2,3},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,1,4,2,3,2] => [2,3,2,4,1,3] => [{5},{1,3},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,1,4,3,2,2] => [2,2,3,4,1,3] => [{5},{1,2},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,2,1,2,3,4] => [4,3,2,1,2,3] => [{4},{3,5},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,2,1,2,4,3] => [3,4,2,1,2,3] => [{4},{3,5},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,2,1,3,2,4] => [4,2,3,1,2,3] => [{4},{2,5},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,2,1,3,4,2] => [2,4,3,1,2,3] => [{4},{1,5},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,2,1,4,2,3] => [3,2,4,1,2,3] => [{4},{2,5},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,2,1,4,3,2] => [2,3,4,1,2,3] => [{4},{1,5},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,2,2,1,3,4] => [4,3,1,2,2,3] => [{3},{4,5},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,2,2,1,4,3] => [3,4,1,2,2,3] => [{3},{4,5},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,2,2,3,1,4] => [4,1,3,2,2,3] => [{2},{4,5},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,2,2,3,4,1] => [1,4,3,2,2,3] => [{1},{4,5},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,2,2,4,1,3] => [3,1,4,2,2,3] => [{2},{4,5},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,2,2,4,3,1] => [1,3,4,2,2,3] => [{1},{4,5},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,2,3,1,2,4] => [4,2,1,3,2,3] => [{3},{2,5},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,2,3,1,4,2] => [2,4,1,3,2,3] => [{3},{1,5},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,2,3,2,1,4] => [4,1,2,3,2,3] => [{2},{3,5},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,2,3,2,4,1] => [1,4,2,3,2,3] => [{1},{3,5},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,2,3,4,1,2] => [2,1,4,3,2,3] => [{2},{1,5},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,2,3,4,2,1] => [1,2,4,3,2,3] => [{1},{2,5},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,2,4,1,2,3] => [3,2,1,4,2,3] => [{3},{2,5},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,2,4,1,3,2] => [2,3,1,4,2,3] => [{3},{1,5},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,2,4,2,1,3] => [3,1,2,4,2,3] => [{2},{3,5},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,2,4,2,3,1] => [1,3,2,4,2,3] => [{1},{3,5},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,2,4,3,1,2] => [2,1,3,4,2,3] => [{2},{1,5},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,4,3,2,1] => [1,2,3,4,2,3] => [{1},{2,5},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,3,1,2,2,4] => [4,2,2,1,3,3] => [{4},{2,3},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,1,2,4,2] => [2,4,2,1,3,3] => [{4},{1,3},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,1,4,2,2] => [2,2,4,1,3,3] => [{4},{1,2},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,2,1,2,4] => [4,2,1,2,3,3] => [{3},{2,4},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,2,1,4,2] => [2,4,1,2,3,3] => [{3},{1,4},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,2,2,1,4] => [4,1,2,2,3,3] => [{2},{3,4},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,2,2,4,1] => [1,4,2,2,3,3] => [{1},{3,4},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,2,4,1,2] => [2,1,4,2,3,3] => [{2},{1,4},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,4,2,1] => [1,2,4,2,3,3] => [{1},{2,4},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,4,1,2,2] => [2,2,1,4,3,3] => [{3},{1,2},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,3,4,2,1,2] => [2,1,2,4,3,3] => [{2},{1,3},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,4,2,2,1] => [1,2,2,4,3,3] => [{1},{2,3},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,4,1,2,2,3] => [3,2,2,1,4,3] => [{4},{2,3},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,4,1,2,3,2] => [2,3,2,1,4,3] => [{4},{1,3},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,4,1,3,2,2] => [2,2,3,1,4,3] => [{4},{1,2},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,4,2,1,2,3] => [3,2,1,2,4,3] => [{3},{2,4},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,4,2,1,3,2] => [2,3,1,2,4,3] => [{3},{1,4},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,4,2,2,1,3] => [3,1,2,2,4,3] => [{2},{3,4},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,4,2,2,3,1] => [1,3,2,2,4,3] => [{1},{3,4},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,4,2,3,1,2] => [2,1,3,2,4,3] => [{2},{1,4},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,4,2,3,2,1] => [1,2,3,2,4,3] => [{1},{2,4},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,4,3,1,2,2] => [2,2,1,3,4,3] => [{3},{1,2},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[3,4,3,2,1,2] => [2,1,2,3,4,3] => [{2},{1,3},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,4,3,2,2,1] => [1,2,2,3,4,3] => [{1},{2,3},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[4,1,2,2,3,3] => [3,3,2,2,1,4] => [{5},{3,4},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[4,1,2,3,2,3] => [3,2,3,2,1,4] => [{5},{2,4},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[4,1,2,3,3,2] => [2,3,3,2,1,4] => [{5},{1,4},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[4,1,3,2,2,3] => [3,2,2,3,1,4] => [{5},{2,3},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[4,1,3,2,3,2] => [2,3,2,3,1,4] => [{5},{1,3},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[4,1,3,3,2,2] => [2,2,3,3,1,4] => [{5},{1,2},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[4,2,1,2,3,3] => [3,3,2,1,2,4] => [{4},{3,5},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[4,2,1,3,2,3] => [3,2,3,1,2,4] => [{4},{2,5},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[4,2,1,3,3,2] => [2,3,3,1,2,4] => [{4},{1,5},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[4,2,2,1,3,3] => [3,3,1,2,2,4] => [{3},{4,5},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[4,2,2,3,1,3] => [3,1,3,2,2,4] => [{2},{4,5},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[4,2,2,3,3,1] => [1,3,3,2,2,4] => [{1},{4,5},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[4,2,3,1,2,3] => [3,2,1,3,2,4] => [{3},{2,5},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[4,2,3,1,3,2] => [2,3,1,3,2,4] => [{3},{1,5},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[4,2,3,2,1,3] => [3,1,2,3,2,4] => [{2},{3,5},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[4,2,3,2,3,1] => [1,3,2,3,2,4] => [{1},{3,5},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[4,2,3,3,1,2] => [2,1,3,3,2,4] => [{2},{1,5},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[4,2,3,3,2,1] => [1,2,3,3,2,4] => [{1},{2,5},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[4,3,1,2,2,3] => [3,2,2,1,3,4] => [{4},{2,3},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[4,3,1,2,3,2] => [2,3,2,1,3,4] => [{4},{1,3},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[4,3,1,3,2,2] => [2,2,3,1,3,4] => [{4},{1,2},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[4,3,2,1,2,3] => [3,2,1,2,3,4] => [{3},{2,4},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[4,3,2,1,3,2] => [2,3,1,2,3,4] => [{3},{1,4},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[4,3,2,2,1,3] => [3,1,2,2,3,4] => [{2},{3,4},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[4,3,2,2,3,1] => [1,3,2,2,3,4] => [{1},{3,4},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[4,3,2,3,1,2] => [2,1,3,2,3,4] => [{2},{1,4},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[4,3,2,3,2,1] => [1,2,3,2,3,4] => [{1},{2,4},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[4,3,3,1,2,2] => [2,2,1,3,3,4] => [{3},{1,2},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[4,3,3,2,1,2] => [2,1,2,3,3,4] => [{2},{1,3},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[4,3,3,2,2,1] => [1,2,2,3,3,4] => [{1},{2,3},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,3,5] => [5,3,3,2,2,1] => [{6},{4,5},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,5,3] => [3,5,3,2,2,1] => [{6},{4,5},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[1,2,2,5,3,3] => [3,3,5,2,2,1] => [{6},{4,5},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[1,2,3,2,3,5] => [5,3,2,3,2,1] => [{6},{3,5},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[1,2,3,2,5,3] => [3,5,2,3,2,1] => [{6},{3,5},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[1,2,3,3,2,5] => [5,2,3,3,2,1] => [{6},{2,5},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[1,2,3,3,5,2] => [2,5,3,3,2,1] => [{6},{1,5},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[1,2,3,5,2,3] => [3,2,5,3,2,1] => [{6},{2,5},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[1,2,3,5,3,2] => [2,3,5,3,2,1] => [{6},{1,5},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[1,2,5,2,3,3] => [3,3,2,5,2,1] => [{6},{3,5},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[1,2,5,3,2,3] => [3,2,3,5,2,1] => [{6},{2,5},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[1,2,5,3,3,2] => [2,3,3,5,2,1] => [{6},{1,5},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,2,2,3,5] => [5,3,2,2,3,1] => [{6},{3,4},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[1,3,2,2,5,3] => [3,5,2,2,3,1] => [{6},{3,4},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[1,3,2,3,2,5] => [5,2,3,2,3,1] => [{6},{2,4},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[1,3,2,3,5,2] => [2,5,3,2,3,1] => [{6},{1,4},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[1,3,2,5,2,3] => [3,2,5,2,3,1] => [{6},{2,4},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[1,3,2,5,3,2] => [2,3,5,2,3,1] => [{6},{1,4},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[1,3,3,2,2,5] => [5,2,2,3,3,1] => [{6},{2,3},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[1,3,3,2,5,2] => [2,5,2,3,3,1] => [{6},{1,3},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[1,3,3,5,2,2] => [2,2,5,3,3,1] => [{6},{1,2},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[1,3,5,2,2,3] => [3,2,2,5,3,1] => [{6},{2,3},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,5,2,3,2] => [2,3,2,5,3,1] => [{6},{1,3},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[1,3,5,3,2,2] => [2,2,3,5,3,1] => [{6},{1,2},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[1,5,2,2,3,3] => [3,3,2,2,5,1] => [{6},{3,4},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[1,5,2,3,2,3] => [3,2,3,2,5,1] => [{6},{2,4},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[1,5,2,3,3,2] => [2,3,3,2,5,1] => [{6},{1,4},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[1,5,3,2,2,3] => [3,2,2,3,5,1] => [{6},{2,3},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[1,5,3,2,3,2] => [2,3,2,3,5,1] => [{6},{1,3},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[1,5,3,3,2,2] => [2,2,3,3,5,1] => [{6},{1,2},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[2,1,2,3,3,5] => [5,3,3,2,1,2] => [{5},{4,6},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[2,1,2,3,5,3] => [3,5,3,2,1,2] => [{5},{4,6},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[2,1,2,5,3,3] => [3,3,5,2,1,2] => [{5},{4,6},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[2,1,3,2,3,5] => [5,3,2,3,1,2] => [{5},{3,6},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[2,1,3,2,5,3] => [3,5,2,3,1,2] => [{5},{3,6},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[2,1,3,3,2,5] => [5,2,3,3,1,2] => [{5},{2,6},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[2,1,3,3,5,2] => [2,5,3,3,1,2] => [{5},{1,6},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[2,1,3,5,2,3] => [3,2,5,3,1,2] => [{5},{2,6},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[2,1,3,5,3,2] => [2,3,5,3,1,2] => [{5},{1,6},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[2,1,5,2,3,3] => [3,3,2,5,1,2] => [{5},{3,6},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[2,1,5,3,2,3] => [3,2,3,5,1,2] => [{5},{2,6},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[2,1,5,3,3,2] => [2,3,3,5,1,2] => [{5},{1,6},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[2,2,1,3,3,5] => [5,3,3,1,2,2] => [{4},{5,6},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,1,3,5,3] => [3,5,3,1,2,2] => [{4},{5,6},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,1,5,3,3] => [3,3,5,1,2,2] => [{4},{5,6},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,3,1,3,5] => [5,3,1,3,2,2] => [{3},{5,6},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,3,1,5,3] => [3,5,1,3,2,2] => [{3},{5,6},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,3,3,1,5] => [5,1,3,3,2,2] => [{2},{5,6},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,3,3,5,1] => [1,5,3,3,2,2] => [{1},{5,6},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,3,5,1,3] => [3,1,5,3,2,2] => [{2},{5,6},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,5,3,1] => [1,3,5,3,2,2] => [{1},{5,6},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,5,1,3,3] => [3,3,1,5,2,2] => [{3},{5,6},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[2,2,5,3,1,3] => [3,1,3,5,2,2] => [{2},{5,6},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,5,3,3,1] => [1,3,3,5,2,2] => [{1},{5,6},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[2,3,1,2,3,5] => [5,3,2,1,3,2] => [{4},{3,6},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[2,3,1,2,5,3] => [3,5,2,1,3,2] => [{4},{3,6},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[2,3,1,3,2,5] => [5,2,3,1,3,2] => [{4},{2,6},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[2,3,1,3,5,2] => [2,5,3,1,3,2] => [{4},{1,6},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[2,3,1,5,2,3] => [3,2,5,1,3,2] => [{4},{2,6},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[2,3,1,5,3,2] => [2,3,5,1,3,2] => [{4},{1,6},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[2,3,2,1,3,5] => [5,3,1,2,3,2] => [{3},{4,6},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[2,3,2,1,5,3] => [3,5,1,2,3,2] => [{3},{4,6},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[2,3,2,3,1,5] => [5,1,3,2,3,2] => [{2},{4,6},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[2,3,2,3,5,1] => [1,5,3,2,3,2] => [{1},{4,6},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[2,3,2,5,1,3] => [3,1,5,2,3,2] => [{2},{4,6},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[2,3,2,5,3,1] => [1,3,5,2,3,2] => [{1},{4,6},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[2,3,3,1,2,5] => [5,2,1,3,3,2] => [{3},{2,6},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[2,3,3,1,5,2] => [2,5,1,3,3,2] => [{3},{1,6},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[2,3,3,2,1,5] => [5,1,2,3,3,2] => [{2},{3,6},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[2,3,3,2,5,1] => [1,5,2,3,3,2] => [{1},{3,6},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[2,3,3,5,1,2] => [2,1,5,3,3,2] => [{2},{1,6},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[2,3,3,5,2,1] => [1,2,5,3,3,2] => [{1},{2,6},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[2,3,5,1,2,3] => [3,2,1,5,3,2] => [{3},{2,6},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[2,3,5,1,3,2] => [2,3,1,5,3,2] => [{3},{1,6},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[2,3,5,2,1,3] => [3,1,2,5,3,2] => [{2},{3,6},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[2,3,5,2,3,1] => [1,3,2,5,3,2] => [{1},{3,6},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[2,3,5,3,1,2] => [2,1,3,5,3,2] => [{2},{1,6},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[2,3,5,3,2,1] => [1,2,3,5,3,2] => [{1},{2,6},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[2,5,1,2,3,3] => [3,3,2,1,5,2] => [{4},{3,6},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[2,5,1,3,2,3] => [3,2,3,1,5,2] => [{4},{2,6},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[2,5,1,3,3,2] => [2,3,3,1,5,2] => [{4},{1,6},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[2,5,2,1,3,3] => [3,3,1,2,5,2] => [{3},{4,6},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[2,5,2,3,1,3] => [3,1,3,2,5,2] => [{2},{4,6},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[2,5,2,3,3,1] => [1,3,3,2,5,2] => [{1},{4,6},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[2,5,3,1,2,3] => [3,2,1,3,5,2] => [{3},{2,6},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[2,5,3,1,3,2] => [2,3,1,3,5,2] => [{3},{1,6},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[2,5,3,2,1,3] => [3,1,2,3,5,2] => [{2},{3,6},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[2,5,3,2,3,1] => [1,3,2,3,5,2] => [{1},{3,6},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[2,5,3,3,1,2] => [2,1,3,3,5,2] => [{2},{1,6},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,5,3,3,2,1] => [1,2,3,3,5,2] => [{1},{2,6},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,3,5] => [5,3,2,2,1,3] => [{5},{3,4},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,5,3] => [3,5,2,2,1,3] => [{5},{3,4},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,1,2,3,2,5] => [5,2,3,2,1,3] => [{5},{2,4},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,1,2,3,5,2] => [2,5,3,2,1,3] => [{5},{1,4},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,1,2,5,2,3] => [3,2,5,2,1,3] => [{5},{2,4},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,1,2,5,3,2] => [2,3,5,2,1,3] => [{5},{1,4},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,1,3,2,2,5] => [5,2,2,3,1,3] => [{5},{2,3},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,1,3,2,5,2] => [2,5,2,3,1,3] => [{5},{1,3},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,1,3,5,2,2] => [2,2,5,3,1,3] => [{5},{1,2},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,1,5,2,2,3] => [3,2,2,5,1,3] => [{5},{2,3},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,1,5,2,3,2] => [2,3,2,5,1,3] => [{5},{1,3},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,1,5,3,2,2] => [2,2,3,5,1,3] => [{5},{1,2},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,2,1,2,3,5] => [5,3,2,1,2,3] => [{4},{3,5},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,2,1,2,5,3] => [3,5,2,1,2,3] => [{4},{3,5},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,2,1,3,2,5] => [5,2,3,1,2,3] => [{4},{2,5},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,2,1,3,5,2] => [2,5,3,1,2,3] => [{4},{1,5},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,2,1,5,2,3] => [3,2,5,1,2,3] => [{4},{2,5},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,2,1,5,3,2] => [2,3,5,1,2,3] => [{4},{1,5},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,2,2,1,3,5] => [5,3,1,2,2,3] => [{3},{4,5},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,2,2,1,5,3] => [3,5,1,2,2,3] => [{3},{4,5},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,2,2,3,1,5] => [5,1,3,2,2,3] => [{2},{4,5},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,2,2,3,5,1] => [1,5,3,2,2,3] => [{1},{4,5},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,2,2,5,1,3] => [3,1,5,2,2,3] => [{2},{4,5},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,2,2,5,3,1] => [1,3,5,2,2,3] => [{1},{4,5},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,2,3,1,2,5] => [5,2,1,3,2,3] => [{3},{2,5},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,2,3,1,5,2] => [2,5,1,3,2,3] => [{3},{1,5},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,2,3,2,1,5] => [5,1,2,3,2,3] => [{2},{3,5},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,2,3,2,5,1] => [1,5,2,3,2,3] => [{1},{3,5},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,2,3,5,1,2] => [2,1,5,3,2,3] => [{2},{1,5},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,2,3,5,2,1] => [1,2,5,3,2,3] => [{1},{2,5},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,2,5,1,2,3] => [3,2,1,5,2,3] => [{3},{2,5},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,2,5,1,3,2] => [2,3,1,5,2,3] => [{3},{1,5},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,2,5,2,1,3] => [3,1,2,5,2,3] => [{2},{3,5},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,2,5,2,3,1] => [1,3,2,5,2,3] => [{1},{3,5},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,2,5,3,1,2] => [2,1,3,5,2,3] => [{2},{1,5},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,5,3,2,1] => [1,2,3,5,2,3] => [{1},{2,5},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,3,1,2,2,5] => [5,2,2,1,3,3] => [{4},{2,3},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,1,2,5,2] => [2,5,2,1,3,3] => [{4},{1,3},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,1,5,2,2] => [2,2,5,1,3,3] => [{4},{1,2},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,2,1,2,5] => [5,2,1,2,3,3] => [{3},{2,4},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,2,1,5,2] => [2,5,1,2,3,3] => [{3},{1,4},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,2,2,1,5] => [5,1,2,2,3,3] => [{2},{3,4},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,2,2,5,1] => [1,5,2,2,3,3] => [{1},{3,4},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,2,5,1,2] => [2,1,5,2,3,3] => [{2},{1,4},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,5,2,1] => [1,2,5,2,3,3] => [{1},{2,4},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,5,1,2,2] => [2,2,1,5,3,3] => [{3},{1,2},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,3,5,2,1,2] => [2,1,2,5,3,3] => [{2},{1,3},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,5,2,2,1] => [1,2,2,5,3,3] => [{1},{2,3},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,5,1,2,2,3] => [3,2,2,1,5,3] => [{4},{2,3},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,5,1,2,3,2] => [2,3,2,1,5,3] => [{4},{1,3},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,5,1,3,2,2] => [2,2,3,1,5,3] => [{4},{1,2},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,5,2,1,2,3] => [3,2,1,2,5,3] => [{3},{2,4},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,5,2,1,3,2] => [2,3,1,2,5,3] => [{3},{1,4},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,5,2,2,1,3] => [3,1,2,2,5,3] => [{2},{3,4},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,5,2,2,3,1] => [1,3,2,2,5,3] => [{1},{3,4},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,5,2,3,1,2] => [2,1,3,2,5,3] => [{2},{1,4},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,5,2,3,2,1] => [1,2,3,2,5,3] => [{1},{2,4},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,5,3,1,2,2] => [2,2,1,3,5,3] => [{3},{1,2},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[3,5,3,2,1,2] => [2,1,2,3,5,3] => [{2},{1,3},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,5,3,2,2,1] => [1,2,2,3,5,3] => [{1},{2,3},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[5,1,2,2,3,3] => [3,3,2,2,1,5] => [{5},{3,4},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[5,1,2,3,2,3] => [3,2,3,2,1,5] => [{5},{2,4},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[5,1,2,3,3,2] => [2,3,3,2,1,5] => [{5},{1,4},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[5,1,3,2,2,3] => [3,2,2,3,1,5] => [{5},{2,3},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[5,1,3,2,3,2] => [2,3,2,3,1,5] => [{5},{1,3},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[5,1,3,3,2,2] => [2,2,3,3,1,5] => [{5},{1,2},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[5,2,1,2,3,3] => [3,3,2,1,2,5] => [{4},{3,5},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[5,2,1,3,2,3] => [3,2,3,1,2,5] => [{4},{2,5},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[5,2,1,3,3,2] => [2,3,3,1,2,5] => [{4},{1,5},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,2,1,3,3] => [3,3,1,2,2,5] => [{3},{4,5},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[5,2,2,3,1,3] => [3,1,3,2,2,5] => [{2},{4,5},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[5,2,2,3,3,1] => [1,3,3,2,2,5] => [{1},{4,5},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[5,2,3,1,2,3] => [3,2,1,3,2,5] => [{3},{2,5},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[5,2,3,1,3,2] => [2,3,1,3,2,5] => [{3},{1,5},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[5,2,3,2,1,3] => [3,1,2,3,2,5] => [{2},{3,5},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[5,2,3,2,3,1] => [1,3,2,3,2,5] => [{1},{3,5},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[5,2,3,3,1,2] => [2,1,3,3,2,5] => [{2},{1,5},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,3,3,2,1] => [1,2,3,3,2,5] => [{1},{2,5},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[5,3,1,2,2,3] => [3,2,2,1,3,5] => [{4},{2,3},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[5,3,1,2,3,2] => [2,3,2,1,3,5] => [{4},{1,3},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[5,3,1,3,2,2] => [2,2,3,1,3,5] => [{4},{1,2},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[5,3,2,1,2,3] => [3,2,1,2,3,5] => [{3},{2,4},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[5,3,2,1,3,2] => [2,3,1,2,3,5] => [{3},{1,4},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[5,3,2,2,1,3] => [3,1,2,2,3,5] => [{2},{3,4},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[5,3,2,2,3,1] => [1,3,2,2,3,5] => [{1},{3,4},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[5,3,2,3,1,2] => [2,1,3,2,3,5] => [{2},{1,4},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[5,3,2,3,2,1] => [1,2,3,2,3,5] => [{1},{2,4},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[5,3,3,1,2,2] => [2,2,1,3,3,5] => [{3},{1,2},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[5,3,3,2,1,2] => [2,1,2,3,3,5] => [{2},{1,3},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[5,3,3,2,2,1] => [1,2,2,3,3,5] => [{1},{2,3},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,3,6] => [6,3,3,2,2,1] => [{6},{4,5},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,6,3] => [3,6,3,2,2,1] => [{6},{4,5},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[1,2,2,6,3,3] => [3,3,6,2,2,1] => [{6},{4,5},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[1,2,3,2,3,6] => [6,3,2,3,2,1] => [{6},{3,5},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[1,2,3,2,6,3] => [3,6,2,3,2,1] => [{6},{3,5},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[1,2,3,3,2,6] => [6,2,3,3,2,1] => [{6},{2,5},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[1,2,3,3,6,2] => [2,6,3,3,2,1] => [{6},{1,5},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[1,2,3,6,2,3] => [3,2,6,3,2,1] => [{6},{2,5},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[1,2,3,6,3,2] => [2,3,6,3,2,1] => [{6},{1,5},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[1,2,6,2,3,3] => [3,3,2,6,2,1] => [{6},{3,5},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[1,2,6,3,2,3] => [3,2,3,6,2,1] => [{6},{2,5},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[1,2,6,3,3,2] => [2,3,3,6,2,1] => [{6},{1,5},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,2,2,3,6] => [6,3,2,2,3,1] => [{6},{3,4},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[1,3,2,2,6,3] => [3,6,2,2,3,1] => [{6},{3,4},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[1,3,2,3,2,6] => [6,2,3,2,3,1] => [{6},{2,4},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[1,3,2,3,6,2] => [2,6,3,2,3,1] => [{6},{1,4},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[1,3,2,6,2,3] => [3,2,6,2,3,1] => [{6},{2,4},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[1,3,2,6,3,2] => [2,3,6,2,3,1] => [{6},{1,4},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[1,3,3,2,2,6] => [6,2,2,3,3,1] => [{6},{2,3},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[1,3,3,2,6,2] => [2,6,2,3,3,1] => [{6},{1,3},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[1,3,3,6,2,2] => [2,2,6,3,3,1] => [{6},{1,2},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[1,3,6,2,2,3] => [3,2,2,6,3,1] => [{6},{2,3},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[1,3,6,2,3,2] => [2,3,2,6,3,1] => [{6},{1,3},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[1,3,6,3,2,2] => [2,2,3,6,3,1] => [{6},{1,2},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[1,6,2,2,3,3] => [3,3,2,2,6,1] => [{6},{3,4},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[1,6,2,3,2,3] => [3,2,3,2,6,1] => [{6},{2,4},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[1,6,2,3,3,2] => [2,3,3,2,6,1] => [{6},{1,4},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[1,6,3,2,2,3] => [3,2,2,3,6,1] => [{6},{2,3},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[1,6,3,2,3,2] => [2,3,2,3,6,1] => [{6},{1,3},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[1,6,3,3,2,2] => [2,2,3,3,6,1] => [{6},{1,2},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[2,1,2,3,3,6] => [6,3,3,2,1,2] => [{5},{4,6},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[2,1,2,3,6,3] => [3,6,3,2,1,2] => [{5},{4,6},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[2,1,2,6,3,3] => [3,3,6,2,1,2] => [{5},{4,6},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[2,1,3,2,3,6] => [6,3,2,3,1,2] => [{5},{3,6},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[2,1,3,2,6,3] => [3,6,2,3,1,2] => [{5},{3,6},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[2,1,3,3,2,6] => [6,2,3,3,1,2] => [{5},{2,6},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[2,1,3,3,6,2] => [2,6,3,3,1,2] => [{5},{1,6},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[2,1,3,6,2,3] => [3,2,6,3,1,2] => [{5},{2,6},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[2,1,3,6,3,2] => [2,3,6,3,1,2] => [{5},{1,6},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[2,1,6,2,3,3] => [3,3,2,6,1,2] => [{5},{3,6},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[2,1,6,3,2,3] => [3,2,3,6,1,2] => [{5},{2,6},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[2,1,6,3,3,2] => [2,3,3,6,1,2] => [{5},{1,6},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[2,2,1,3,3,6] => [6,3,3,1,2,2] => [{4},{5,6},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,1,3,6,3] => [3,6,3,1,2,2] => [{4},{5,6},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,1,6,3,3] => [3,3,6,1,2,2] => [{4},{5,6},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,3,1,3,6] => [6,3,1,3,2,2] => [{3},{5,6},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,3,1,6,3] => [3,6,1,3,2,2] => [{3},{5,6},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,3,3,1,6] => [6,1,3,3,2,2] => [{2},{5,6},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,3,3,6,1] => [1,6,3,3,2,2] => [{1},{5,6},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,3,6,1,3] => [3,1,6,3,2,2] => [{2},{5,6},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,3,6,3,1] => [1,3,6,3,2,2] => [{1},{5,6},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,6,1,3,3] => [3,3,1,6,2,2] => [{3},{5,6},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[2,2,6,3,1,3] => [3,1,3,6,2,2] => [{2},{5,6},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,6,3,3,1] => [1,3,3,6,2,2] => [{1},{5,6},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[2,3,1,2,3,6] => [6,3,2,1,3,2] => [{4},{3,6},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[2,3,1,2,6,3] => [3,6,2,1,3,2] => [{4},{3,6},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[2,3,1,3,2,6] => [6,2,3,1,3,2] => [{4},{2,6},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[2,3,1,3,6,2] => [2,6,3,1,3,2] => [{4},{1,6},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[2,3,1,6,2,3] => [3,2,6,1,3,2] => [{4},{2,6},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[2,3,1,6,3,2] => [2,3,6,1,3,2] => [{4},{1,6},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[2,3,2,1,3,6] => [6,3,1,2,3,2] => [{3},{4,6},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[2,3,2,1,6,3] => [3,6,1,2,3,2] => [{3},{4,6},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[2,3,2,3,1,6] => [6,1,3,2,3,2] => [{2},{4,6},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[2,3,2,3,6,1] => [1,6,3,2,3,2] => [{1},{4,6},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[2,3,2,6,1,3] => [3,1,6,2,3,2] => [{2},{4,6},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[2,3,2,6,3,1] => [1,3,6,2,3,2] => [{1},{4,6},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[2,3,3,1,2,6] => [6,2,1,3,3,2] => [{3},{2,6},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[2,3,3,1,6,2] => [2,6,1,3,3,2] => [{3},{1,6},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[2,3,3,2,1,6] => [6,1,2,3,3,2] => [{2},{3,6},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[2,3,3,2,6,1] => [1,6,2,3,3,2] => [{1},{3,6},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[2,3,3,6,1,2] => [2,1,6,3,3,2] => [{2},{1,6},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[2,3,3,6,2,1] => [1,2,6,3,3,2] => [{1},{2,6},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[2,3,6,1,2,3] => [3,2,1,6,3,2] => [{3},{2,6},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[2,3,6,1,3,2] => [2,3,1,6,3,2] => [{3},{1,6},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[2,3,6,2,1,3] => [3,1,2,6,3,2] => [{2},{3,6},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[2,3,6,2,3,1] => [1,3,2,6,3,2] => [{1},{3,6},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[2,3,6,3,1,2] => [2,1,3,6,3,2] => [{2},{1,6},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[2,3,6,3,2,1] => [1,2,3,6,3,2] => [{1},{2,6},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[2,6,1,2,3,3] => [3,3,2,1,6,2] => [{4},{3,6},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[2,6,1,3,2,3] => [3,2,3,1,6,2] => [{4},{2,6},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[2,6,1,3,3,2] => [2,3,3,1,6,2] => [{4},{1,6},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[2,6,2,1,3,3] => [3,3,1,2,6,2] => [{3},{4,6},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[2,6,2,3,1,3] => [3,1,3,2,6,2] => [{2},{4,6},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[2,6,2,3,3,1] => [1,3,3,2,6,2] => [{1},{4,6},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[2,6,3,1,2,3] => [3,2,1,3,6,2] => [{3},{2,6},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[2,6,3,1,3,2] => [2,3,1,3,6,2] => [{3},{1,6},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[2,6,3,2,1,3] => [3,1,2,3,6,2] => [{2},{3,6},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[2,6,3,2,3,1] => [1,3,2,3,6,2] => [{1},{3,6},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[2,6,3,3,1,2] => [2,1,3,3,6,2] => [{2},{1,6},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,6,3,3,2,1] => [1,2,3,3,6,2] => [{1},{2,6},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,3,6] => [6,3,2,2,1,3] => [{5},{3,4},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[3,1,2,2,6,3] => [3,6,2,2,1,3] => [{5},{3,4},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[3,1,2,3,2,6] => [6,2,3,2,1,3] => [{5},{2,4},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[3,1,2,3,6,2] => [2,6,3,2,1,3] => [{5},{1,4},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[3,1,2,6,2,3] => [3,2,6,2,1,3] => [{5},{2,4},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[3,1,2,6,3,2] => [2,3,6,2,1,3] => [{5},{1,4},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[3,1,3,2,2,6] => [6,2,2,3,1,3] => [{5},{2,3},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[3,1,3,2,6,2] => [2,6,2,3,1,3] => [{5},{1,3},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[3,1,3,6,2,2] => [2,2,6,3,1,3] => [{5},{1,2},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[3,1,6,2,2,3] => [3,2,2,6,1,3] => [{5},{2,3},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[3,1,6,2,3,2] => [2,3,2,6,1,3] => [{5},{1,3},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[3,1,6,3,2,2] => [2,2,3,6,1,3] => [{5},{1,2},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[3,2,1,2,3,6] => [6,3,2,1,2,3] => [{4},{3,5},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[3,2,1,2,6,3] => [3,6,2,1,2,3] => [{4},{3,5},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[3,2,1,3,2,6] => [6,2,3,1,2,3] => [{4},{2,5},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[3,2,1,3,6,2] => [2,6,3,1,2,3] => [{4},{1,5},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[3,2,1,6,2,3] => [3,2,6,1,2,3] => [{4},{2,5},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[3,2,1,6,3,2] => [2,3,6,1,2,3] => [{4},{1,5},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[3,2,2,1,3,6] => [6,3,1,2,2,3] => [{3},{4,5},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[3,2,2,1,6,3] => [3,6,1,2,2,3] => [{3},{4,5},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[3,2,2,3,1,6] => [6,1,3,2,2,3] => [{2},{4,5},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[3,2,2,3,6,1] => [1,6,3,2,2,3] => [{1},{4,5},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[3,2,2,6,1,3] => [3,1,6,2,2,3] => [{2},{4,5},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[3,2,2,6,3,1] => [1,3,6,2,2,3] => [{1},{4,5},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[3,2,3,1,2,6] => [6,2,1,3,2,3] => [{3},{2,5},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[3,2,3,1,6,2] => [2,6,1,3,2,3] => [{3},{1,5},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[3,2,3,2,1,6] => [6,1,2,3,2,3] => [{2},{3,5},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[3,2,3,2,6,1] => [1,6,2,3,2,3] => [{1},{3,5},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[3,2,3,6,1,2] => [2,1,6,3,2,3] => [{2},{1,5},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[3,2,3,6,2,1] => [1,2,6,3,2,3] => [{1},{2,5},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[3,2,6,1,2,3] => [3,2,1,6,2,3] => [{3},{2,5},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[3,2,6,1,3,2] => [2,3,1,6,2,3] => [{3},{1,5},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[3,2,6,2,1,3] => [3,1,2,6,2,3] => [{2},{3,5},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[3,2,6,2,3,1] => [1,3,2,6,2,3] => [{1},{3,5},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[3,2,6,3,1,2] => [2,1,3,6,2,3] => [{2},{1,5},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[3,2,6,3,2,1] => [1,2,3,6,2,3] => [{1},{2,5},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[3,3,1,2,2,6] => [6,2,2,1,3,3] => [{4},{2,3},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[3,3,1,2,6,2] => [2,6,2,1,3,3] => [{4},{1,3},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[3,3,1,6,2,2] => [2,2,6,1,3,3] => [{4},{1,2},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[3,3,2,1,2,6] => [6,2,1,2,3,3] => [{3},{2,4},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[3,3,2,1,6,2] => [2,6,1,2,3,3] => [{3},{1,4},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[3,3,2,2,1,6] => [6,1,2,2,3,3] => [{2},{3,4},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[3,3,2,2,6,1] => [1,6,2,2,3,3] => [{1},{3,4},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[3,3,2,6,1,2] => [2,1,6,2,3,3] => [{2},{1,4},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[3,3,2,6,2,1] => [1,2,6,2,3,3] => [{1},{2,4},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[3,3,6,1,2,2] => [2,2,1,6,3,3] => [{3},{1,2},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[3,3,6,2,1,2] => [2,1,2,6,3,3] => [{2},{1,3},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[3,3,6,2,2,1] => [1,2,2,6,3,3] => [{1},{2,3},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[3,6,1,2,2,3] => [3,2,2,1,6,3] => [{4},{2,3},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[3,6,1,2,3,2] => [2,3,2,1,6,3] => [{4},{1,3},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[3,6,1,3,2,2] => [2,2,3,1,6,3] => [{4},{1,2},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[3,6,2,1,2,3] => [3,2,1,2,6,3] => [{3},{2,4},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[3,6,2,1,3,2] => [2,3,1,2,6,3] => [{3},{1,4},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[3,6,2,2,1,3] => [3,1,2,2,6,3] => [{2},{3,4},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[3,6,2,2,3,1] => [1,3,2,2,6,3] => [{1},{3,4},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[3,6,2,3,1,2] => [2,1,3,2,6,3] => [{2},{1,4},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[3,6,2,3,2,1] => [1,2,3,2,6,3] => [{1},{2,4},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[3,6,3,1,2,2] => [2,2,1,3,6,3] => [{3},{1,2},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[3,6,3,2,1,2] => [2,1,2,3,6,3] => [{2},{1,3},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[3,6,3,2,2,1] => [1,2,2,3,6,3] => [{1},{2,3},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[6,1,2,2,3,3] => [3,3,2,2,1,6] => [{5},{3,4},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[6,1,2,3,2,3] => [3,2,3,2,1,6] => [{5},{2,4},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[6,1,2,3,3,2] => [2,3,3,2,1,6] => [{5},{1,4},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[6,1,3,2,2,3] => [3,2,2,3,1,6] => [{5},{2,3},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[6,1,3,2,3,2] => [2,3,2,3,1,6] => [{5},{1,3},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[6,1,3,3,2,2] => [2,2,3,3,1,6] => [{5},{1,2},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[6,2,1,2,3,3] => [3,3,2,1,2,6] => [{4},{3,5},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[6,2,1,3,2,3] => [3,2,3,1,2,6] => [{4},{2,5},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[6,2,1,3,3,2] => [2,3,3,1,2,6] => [{4},{1,5},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,2,1,3,3] => [3,3,1,2,2,6] => [{3},{4,5},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[6,2,2,3,1,3] => [3,1,3,2,2,6] => [{2},{4,5},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[6,2,2,3,3,1] => [1,3,3,2,2,6] => [{1},{4,5},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[6,2,3,1,2,3] => [3,2,1,3,2,6] => [{3},{2,5},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[6,2,3,1,3,2] => [2,3,1,3,2,6] => [{3},{1,5},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[6,2,3,2,1,3] => [3,1,2,3,2,6] => [{2},{3,5},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[6,2,3,2,3,1] => [1,3,2,3,2,6] => [{1},{3,5},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[6,2,3,3,1,2] => [2,1,3,3,2,6] => [{2},{1,5},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,3,3,2,1] => [1,2,3,3,2,6] => [{1},{2,5},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[6,3,1,2,2,3] => [3,2,2,1,3,6] => [{4},{2,3},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[6,3,1,2,3,2] => [2,3,2,1,3,6] => [{4},{1,3},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[6,3,1,3,2,2] => [2,2,3,1,3,6] => [{4},{1,2},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[6,3,2,1,2,3] => [3,2,1,2,3,6] => [{3},{2,4},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[6,3,2,1,3,2] => [2,3,1,2,3,6] => [{3},{1,4},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[6,3,2,2,1,3] => [3,1,2,2,3,6] => [{2},{3,4},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[6,3,2,2,3,1] => [1,3,2,2,3,6] => [{1},{3,4},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[6,3,2,3,1,2] => [2,1,3,2,3,6] => [{2},{1,4},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[6,3,2,3,2,1] => [1,2,3,2,3,6] => [{1},{2,4},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[6,3,3,1,2,2] => [2,2,1,3,3,6] => [{3},{1,2},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[6,3,3,2,1,2] => [2,1,2,3,3,6] => [{2},{1,3},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[6,3,3,2,2,1] => [1,2,2,3,3,6] => [{1},{2,3},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[1,2,2,3,4,4] => [4,4,3,2,2,1] => [{6},{4,5},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[1,2,2,4,3,4] => [4,3,4,2,2,1] => [{6},{4,5},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[1,2,2,4,4,3] => [3,4,4,2,2,1] => [{6},{4,5},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[1,2,3,2,4,4] => [4,4,2,3,2,1] => [{6},{3,5},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[1,2,3,4,2,4] => [4,2,4,3,2,1] => [{6},{2,5},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[1,2,3,4,4,2] => [2,4,4,3,2,1] => [{6},{1,5},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[1,2,4,2,3,4] => [4,3,2,4,2,1] => [{6},{3,5},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[1,2,4,2,4,3] => [3,4,2,4,2,1] => [{6},{3,5},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[1,2,4,3,2,4] => [4,2,3,4,2,1] => [{6},{2,5},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[1,2,4,3,4,2] => [2,4,3,4,2,1] => [{6},{1,5},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[1,2,4,4,2,3] => [3,2,4,4,2,1] => [{6},{2,5},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[1,2,4,4,3,2] => [2,3,4,4,2,1] => [{6},{1,5},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[1,3,2,2,4,4] => [4,4,2,2,3,1] => [{6},{3,4},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[1,3,2,4,2,4] => [4,2,4,2,3,1] => [{6},{2,4},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[1,3,2,4,4,2] => [2,4,4,2,3,1] => [{6},{1,4},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[1,3,4,2,2,4] => [4,2,2,4,3,1] => [{6},{2,3},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[1,3,4,2,4,2] => [2,4,2,4,3,1] => [{6},{1,3},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[1,3,4,4,2,2] => [2,2,4,4,3,1] => [{6},{1,2},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[1,4,2,2,3,4] => [4,3,2,2,4,1] => [{6},{3,4},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[1,4,2,2,4,3] => [3,4,2,2,4,1] => [{6},{3,4},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[1,4,2,3,2,4] => [4,2,3,2,4,1] => [{6},{2,4},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[1,4,2,3,4,2] => [2,4,3,2,4,1] => [{6},{1,4},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[1,4,2,4,2,3] => [3,2,4,2,4,1] => [{6},{2,4},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[1,4,2,4,3,2] => [2,3,4,2,4,1] => [{6},{1,4},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[1,4,3,2,2,4] => [4,2,2,3,4,1] => [{6},{2,3},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[1,4,3,2,4,2] => [2,4,2,3,4,1] => [{6},{1,3},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[1,4,3,4,2,2] => [2,2,4,3,4,1] => [{6},{1,2},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[1,4,4,2,2,3] => [3,2,2,4,4,1] => [{6},{2,3},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[1,4,4,2,3,2] => [2,3,2,4,4,1] => [{6},{1,3},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[1,4,4,3,2,2] => [2,2,3,4,4,1] => [{6},{1,2},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[2,1,2,3,4,4] => [4,4,3,2,1,2] => [{5},{4,6},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,1,2,4,3,4] => [4,3,4,2,1,2] => [{5},{4,6},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,1,2,4,4,3] => [3,4,4,2,1,2] => [{5},{4,6},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,1,3,2,4,4] => [4,4,2,3,1,2] => [{5},{3,6},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,1,3,4,2,4] => [4,2,4,3,1,2] => [{5},{2,6},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,1,3,4,4,2] => [2,4,4,3,1,2] => [{5},{1,6},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,1,4,2,3,4] => [4,3,2,4,1,2] => [{5},{3,6},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,1,4,2,4,3] => [3,4,2,4,1,2] => [{5},{3,6},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,1,4,3,2,4] => [4,2,3,4,1,2] => [{5},{2,6},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,1,4,3,4,2] => [2,4,3,4,1,2] => [{5},{1,6},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,1,4,4,2,3] => [3,2,4,4,1,2] => [{5},{2,6},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,1,4,4,3,2] => [2,3,4,4,1,2] => [{5},{1,6},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,2,1,3,4,4] => [4,4,3,1,2,2] => [{4},{5,6},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,1,4,3,4] => [4,3,4,1,2,2] => [{4},{5,6},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,1,4,4,3] => [3,4,4,1,2,2] => [{4},{5,6},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,3,1,4,4] => [4,4,1,3,2,2] => [{3},{5,6},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,3,4,1,4] => [4,1,4,3,2,2] => [{2},{5,6},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,3,4,4,1] => [1,4,4,3,2,2] => [{1},{5,6},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,4,1,3,4] => [4,3,1,4,2,2] => [{3},{5,6},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,4,1,4,3] => [3,4,1,4,2,2] => [{3},{5,6},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,4,3,1,4] => [4,1,3,4,2,2] => [{2},{5,6},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,4,3,4,1] => [1,4,3,4,2,2] => [{1},{5,6},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,4,4,1,3] => [3,1,4,4,2,2] => [{2},{5,6},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,2,4,4,3,1] => [1,3,4,4,2,2] => [{1},{5,6},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,3,1,2,4,4] => [4,4,2,1,3,2] => [{4},{3,6},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,3,1,4,2,4] => [4,2,4,1,3,2] => [{4},{2,6},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,3,1,4,4,2] => [2,4,4,1,3,2] => [{4},{1,6},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,3,2,1,4,4] => [4,4,1,2,3,2] => [{3},{4,6},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,3,2,4,1,4] => [4,1,4,2,3,2] => [{2},{4,6},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,3,2,4,4,1] => [1,4,4,2,3,2] => [{1},{4,6},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,3,4,1,2,4] => [4,2,1,4,3,2] => [{3},{2,6},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,3,4,1,4,2] => [2,4,1,4,3,2] => [{3},{1,6},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,3,4,2,1,4] => [4,1,2,4,3,2] => [{2},{3,6},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,3,4,2,4,1] => [1,4,2,4,3,2] => [{1},{3,6},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,3,4,4,1,2] => [2,1,4,4,3,2] => [{2},{1,6},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,3,4,4,2,1] => [1,2,4,4,3,2] => [{1},{2,6},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,4,1,2,3,4] => [4,3,2,1,4,2] => [{4},{3,6},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,4,1,2,4,3] => [3,4,2,1,4,2] => [{4},{3,6},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,4,1,3,2,4] => [4,2,3,1,4,2] => [{4},{2,6},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,4,1,3,4,2] => [2,4,3,1,4,2] => [{4},{1,6},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,4,1,4,2,3] => [3,2,4,1,4,2] => [{4},{2,6},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,4,1,4,3,2] => [2,3,4,1,4,2] => [{4},{1,6},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,4,2,1,3,4] => [4,3,1,2,4,2] => [{3},{4,6},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,4,2,1,4,3] => [3,4,1,2,4,2] => [{3},{4,6},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,4,2,3,1,4] => [4,1,3,2,4,2] => [{2},{4,6},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,4,2,3,4,1] => [1,4,3,2,4,2] => [{1},{4,6},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,4,2,4,1,3] => [3,1,4,2,4,2] => [{2},{4,6},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,4,2,4,3,1] => [1,3,4,2,4,2] => [{1},{4,6},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,4,3,1,2,4] => [4,2,1,3,4,2] => [{3},{2,6},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,4,3,1,4,2] => [2,4,1,3,4,2] => [{3},{1,6},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,4,3,2,1,4] => [4,1,2,3,4,2] => [{2},{3,6},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,4,3,2,4,1] => [1,4,2,3,4,2] => [{1},{3,6},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,4,3,4,1,2] => [2,1,4,3,4,2] => [{2},{1,6},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,4,3,4,2,1] => [1,2,4,3,4,2] => [{1},{2,6},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,4,4,1,2,3] => [3,2,1,4,4,2] => [{3},{2,6},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[2,4,4,1,3,2] => [2,3,1,4,4,2] => [{3},{1,6},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,4,4,2,1,3] => [3,1,2,4,4,2] => [{2},{3,6},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,4,4,2,3,1] => [1,3,2,4,4,2] => [{1},{3,6},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,4,4,3,1,2] => [2,1,3,4,4,2] => [{2},{1,6},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,4,4,3,2,1] => [1,2,3,4,4,2] => [{1},{2,6},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,1,2,2,4,4] => [4,4,2,2,1,3] => [{5},{3,4},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[3,1,2,4,2,4] => [4,2,4,2,1,3] => [{5},{2,4},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[3,1,2,4,4,2] => [2,4,4,2,1,3] => [{5},{1,4},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[3,1,4,2,2,4] => [4,2,2,4,1,3] => [{5},{2,3},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[3,1,4,2,4,2] => [2,4,2,4,1,3] => [{5},{1,3},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[3,1,4,4,2,2] => [2,2,4,4,1,3] => [{5},{1,2},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[3,2,1,2,4,4] => [4,4,2,1,2,3] => [{4},{3,5},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[3,2,1,4,2,4] => [4,2,4,1,2,3] => [{4},{2,5},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[3,2,1,4,4,2] => [2,4,4,1,2,3] => [{4},{1,5},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[3,2,2,1,4,4] => [4,4,1,2,2,3] => [{3},{4,5},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[3,2,2,4,1,4] => [4,1,4,2,2,3] => [{2},{4,5},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[3,2,2,4,4,1] => [1,4,4,2,2,3] => [{1},{4,5},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[3,2,4,1,2,4] => [4,2,1,4,2,3] => [{3},{2,5},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[3,2,4,1,4,2] => [2,4,1,4,2,3] => [{3},{1,5},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[3,2,4,2,1,4] => [4,1,2,4,2,3] => [{2},{3,5},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[3,2,4,2,4,1] => [1,4,2,4,2,3] => [{1},{3,5},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[3,2,4,4,1,2] => [2,1,4,4,2,3] => [{2},{1,5},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[3,2,4,4,2,1] => [1,2,4,4,2,3] => [{1},{2,5},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[3,4,1,2,2,4] => [4,2,2,1,4,3] => [{4},{2,3},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[3,4,1,2,4,2] => [2,4,2,1,4,3] => [{4},{1,3},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[3,4,1,4,2,2] => [2,2,4,1,4,3] => [{4},{1,2},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[3,4,2,1,2,4] => [4,2,1,2,4,3] => [{3},{2,4},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[3,4,2,1,4,2] => [2,4,1,2,4,3] => [{3},{1,4},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[3,4,2,2,1,4] => [4,1,2,2,4,3] => [{2},{3,4},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[3,4,2,2,4,1] => [1,4,2,2,4,3] => [{1},{3,4},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[3,4,2,4,1,2] => [2,1,4,2,4,3] => [{2},{1,4},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[3,4,2,4,2,1] => [1,2,4,2,4,3] => [{1},{2,4},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[3,4,4,1,2,2] => [2,2,1,4,4,3] => [{3},{1,2},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[3,4,4,2,1,2] => [2,1,2,4,4,3] => [{2},{1,3},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[3,4,4,2,2,1] => [1,2,2,4,4,3] => [{1},{2,3},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[4,1,2,2,3,4] => [4,3,2,2,1,4] => [{5},{3,4},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,1,2,2,4,3] => [3,4,2,2,1,4] => [{5},{3,4},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,1,2,3,2,4] => [4,2,3,2,1,4] => [{5},{2,4},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,1,2,3,4,2] => [2,4,3,2,1,4] => [{5},{1,4},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,1,2,4,2,3] => [3,2,4,2,1,4] => [{5},{2,4},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,1,2,4,3,2] => [2,3,4,2,1,4] => [{5},{1,4},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,1,3,2,2,4] => [4,2,2,3,1,4] => [{5},{2,3},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,1,3,2,4,2] => [2,4,2,3,1,4] => [{5},{1,3},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,1,3,4,2,2] => [2,2,4,3,1,4] => [{5},{1,2},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,1,4,2,2,3] => [3,2,2,4,1,4] => [{5},{2,3},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,1,4,2,3,2] => [2,3,2,4,1,4] => [{5},{1,3},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,1,4,3,2,2] => [2,2,3,4,1,4] => [{5},{1,2},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,2,1,2,3,4] => [4,3,2,1,2,4] => [{4},{3,5},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,2,1,2,4,3] => [3,4,2,1,2,4] => [{4},{3,5},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,2,1,3,2,4] => [4,2,3,1,2,4] => [{4},{2,5},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,2,1,3,4,2] => [2,4,3,1,2,4] => [{4},{1,5},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,2,1,4,2,3] => [3,2,4,1,2,4] => [{4},{2,5},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,2,1,4,3,2] => [2,3,4,1,2,4] => [{4},{1,5},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,2,2,1,3,4] => [4,3,1,2,2,4] => [{3},{4,5},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,2,2,1,4,3] => [3,4,1,2,2,4] => [{3},{4,5},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,2,2,3,1,4] => [4,1,3,2,2,4] => [{2},{4,5},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,2,2,3,4,1] => [1,4,3,2,2,4] => [{1},{4,5},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,2,2,4,1,3] => [3,1,4,2,2,4] => [{2},{4,5},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,2,2,4,3,1] => [1,3,4,2,2,4] => [{1},{4,5},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,2,3,1,2,4] => [4,2,1,3,2,4] => [{3},{2,5},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,2,3,1,4,2] => [2,4,1,3,2,4] => [{3},{1,5},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,2,3,2,1,4] => [4,1,2,3,2,4] => [{2},{3,5},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,2,3,2,4,1] => [1,4,2,3,2,4] => [{1},{3,5},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,2,3,4,1,2] => [2,1,4,3,2,4] => [{2},{1,5},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,2,3,4,2,1] => [1,2,4,3,2,4] => [{1},{2,5},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,2,4,1,2,3] => [3,2,1,4,2,4] => [{3},{2,5},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,2,4,1,3,2] => [2,3,1,4,2,4] => [{3},{1,5},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,2,4,2,1,3] => [3,1,2,4,2,4] => [{2},{3,5},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,2,4,2,3,1] => [1,3,2,4,2,4] => [{1},{3,5},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,2,4,3,1,2] => [2,1,3,4,2,4] => [{2},{1,5},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,2,4,3,2,1] => [1,2,3,4,2,4] => [{1},{2,5},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,3,1,2,2,4] => [4,2,2,1,3,4] => [{4},{2,3},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,3,1,2,4,2] => [2,4,2,1,3,4] => [{4},{1,3},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,3,1,4,2,2] => [2,2,4,1,3,4] => [{4},{1,2},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,3,2,1,2,4] => [4,2,1,2,3,4] => [{3},{2,4},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,3,2,1,4,2] => [2,4,1,2,3,4] => [{3},{1,4},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,3,2,2,1,4] => [4,1,2,2,3,4] => [{2},{3,4},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,3,2,2,4,1] => [1,4,2,2,3,4] => [{1},{3,4},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,3,2,4,1,2] => [2,1,4,2,3,4] => [{2},{1,4},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,3,2,4,2,1] => [1,2,4,2,3,4] => [{1},{2,4},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,3,4,1,2,2] => [2,2,1,4,3,4] => [{3},{1,2},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,3,4,2,1,2] => [2,1,2,4,3,4] => [{2},{1,3},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,3,4,2,2,1] => [1,2,2,4,3,4] => [{1},{2,3},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,4,1,2,2,3] => [3,2,2,1,4,4] => [{4},{2,3},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[4,4,1,2,3,2] => [2,3,2,1,4,4] => [{4},{1,3},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,1,3,2,2] => [2,2,3,1,4,4] => [{4},{1,2},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[4,4,2,1,2,3] => [3,2,1,2,4,4] => [{3},{2,4},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,2,1,3,2] => [2,3,1,2,4,4] => [{3},{1,4},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,2,2,1,3] => [3,1,2,2,4,4] => [{2},{3,4},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[4,4,2,2,3,1] => [1,3,2,2,4,4] => [{1},{3,4},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[4,4,2,3,1,2] => [2,1,3,2,4,4] => [{2},{1,4},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,2,3,2,1] => [1,2,3,2,4,4] => [{1},{2,4},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,3,1,2,2] => [2,2,1,3,4,4] => [{3},{1,2},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[4,4,3,2,1,2] => [2,1,2,3,4,4] => [{2},{1,3},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,3,2,2,1] => [1,2,2,3,4,4] => [{1},{2,3},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[1,2,2,3,4,5] => [5,4,3,2,2,1] => [{6},{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,3,5,4] => [4,5,3,2,2,1] => [{6},{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,4,3,5] => [5,3,4,2,2,1] => [{6},{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,4,5,3] => [3,5,4,2,2,1] => [{6},{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,3,4] => [4,3,5,2,2,1] => [{6},{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,4,3] => [3,4,5,2,2,1] => [{6},{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,3,2,4,5] => [5,4,2,3,2,1] => [{6},{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,2,5,4] => [4,5,2,3,2,1] => [{6},{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,4,2,5] => [5,2,4,3,2,1] => [{6},{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,4,5,2] => [2,5,4,3,2,1] => [{6},{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,3,5,2,4] => [4,2,5,3,2,1] => [{6},{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,5,4,2] => [2,4,5,3,2,1] => [{6},{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,4,2,3,5] => [5,3,2,4,2,1] => [{6},{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,2,5,3] => [3,5,2,4,2,1] => [{6},{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,3,2,5] => [5,2,3,4,2,1] => [{6},{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,3,5,2] => [2,5,3,4,2,1] => [{6},{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,4,5,2,3] => [3,2,5,4,2,1] => [{6},{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,5,3,2] => [2,3,5,4,2,1] => [{6},{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,2,3,4] => [4,3,2,5,2,1] => [{6},{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,2,4,3] => [3,4,2,5,2,1] => [{6},{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,3,2,4] => [4,2,3,5,2,1] => [{6},{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,3,4,2] => [2,4,3,5,2,1] => [{6},{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,4,2,3] => [3,2,4,5,2,1] => [{6},{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,4,3,2] => [2,3,4,5,2,1] => [{6},{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,2,4,5] => [5,4,2,2,3,1] => [{6},{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,2,5,4] => [4,5,2,2,3,1] => [{6},{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,4,2,5] => [5,2,4,2,3,1] => [{6},{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,4,5,2] => [2,5,4,2,3,1] => [{6},{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,3,2,5,2,4] => [4,2,5,2,3,1] => [{6},{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,5,4,2] => [2,4,5,2,3,1] => [{6},{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,2,2,5] => [5,2,2,4,3,1] => [{6},{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,3,4,2,5,2] => [2,5,2,4,3,1] => [{6},{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,3,4,5,2,2] => [2,2,5,4,3,1] => [{6},{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,3,5,2,2,4] => [4,2,2,5,3,1] => [{6},{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,3,5,2,4,2] => [2,4,2,5,3,1] => [{6},{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,3,5,4,2,2] => [2,2,4,5,3,1] => [{6},{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,4,2,2,3,5] => [5,3,2,2,4,1] => [{6},{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,2,5,3] => [3,5,2,2,4,1] => [{6},{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,3,2,5] => [5,2,3,2,4,1] => [{6},{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,3,5,2] => [2,5,3,2,4,1] => [{6},{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,4,2,5,2,3] => [3,2,5,2,4,1] => [{6},{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,5,3,2] => [2,3,5,2,4,1] => [{6},{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,2,2,5] => [5,2,2,3,4,1] => [{6},{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,4,3,2,5,2] => [2,5,2,3,4,1] => [{6},{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,4,3,5,2,2] => [2,2,5,3,4,1] => [{6},{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,4,5,2,2,3] => [3,2,2,5,4,1] => [{6},{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,4,5,2,3,2] => [2,3,2,5,4,1] => [{6},{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,4,5,3,2,2] => [2,2,3,5,4,1] => [{6},{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,5,2,2,3,4] => [4,3,2,2,5,1] => [{6},{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,2,4,3] => [3,4,2,2,5,1] => [{6},{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,3,2,4] => [4,2,3,2,5,1] => [{6},{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,3,4,2] => [2,4,3,2,5,1] => [{6},{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,2,4,2,3] => [3,2,4,2,5,1] => [{6},{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,4,3,2] => [2,3,4,2,5,1] => [{6},{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,2,2,4] => [4,2,2,3,5,1] => [{6},{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,5,3,2,4,2] => [2,4,2,3,5,1] => [{6},{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,3,4,2,2] => [2,2,4,3,5,1] => [{6},{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,5,4,2,2,3] => [3,2,2,4,5,1] => [{6},{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[1,5,4,2,3,2] => [2,3,2,4,5,1] => [{6},{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,4,3,2,2] => [2,2,3,4,5,1] => [{6},{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,1,2,3,4,5] => [5,4,3,2,1,2] => [{5},{4,6},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,3,5,4] => [4,5,3,2,1,2] => [{5},{4,6},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,4,3,5] => [5,3,4,2,1,2] => [{5},{4,6},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,4,5,3] => [3,5,4,2,1,2] => [{5},{4,6},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,3,4] => [4,3,5,2,1,2] => [{5},{4,6},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,4,3] => [3,4,5,2,1,2] => [{5},{4,6},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,3,2,4,5] => [5,4,2,3,1,2] => [{5},{3,6},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,2,5,4] => [4,5,2,3,1,2] => [{5},{3,6},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,4,2,5] => [5,2,4,3,1,2] => [{5},{2,6},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,4,5,2] => [2,5,4,3,1,2] => [{5},{1,6},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,3,5,2,4] => [4,2,5,3,1,2] => [{5},{2,6},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,5,4,2] => [2,4,5,3,1,2] => [{5},{1,6},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,4,2,3,5] => [5,3,2,4,1,2] => [{5},{3,6},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,2,5,3] => [3,5,2,4,1,2] => [{5},{3,6},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,3,2,5] => [5,2,3,4,1,2] => [{5},{2,6},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,3,5,2] => [2,5,3,4,1,2] => [{5},{1,6},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,4,5,2,3] => [3,2,5,4,1,2] => [{5},{2,6},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,5,3,2] => [2,3,5,4,1,2] => [{5},{1,6},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,2,3,4] => [4,3,2,5,1,2] => [{5},{3,6},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,2,4,3] => [3,4,2,5,1,2] => [{5},{3,6},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,3,2,4] => [4,2,3,5,1,2] => [{5},{2,6},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,3,4,2] => [2,4,3,5,1,2] => [{5},{1,6},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,4,2,3] => [3,2,4,5,1,2] => [{5},{2,6},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,4,3,2] => [2,3,4,5,1,2] => [{5},{1,6},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,2,1,3,4,5] => [5,4,3,1,2,2] => [{4},{5,6},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,3,5,4] => [4,5,3,1,2,2] => [{4},{5,6},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,4,3,5] => [5,3,4,1,2,2] => [{4},{5,6},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,4,5,3] => [3,5,4,1,2,2] => [{4},{5,6},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,3,4] => [4,3,5,1,2,2] => [{4},{5,6},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,4,3] => [3,4,5,1,2,2] => [{4},{5,6},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,4,5] => [5,4,1,3,2,2] => [{3},{5,6},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,5,4] => [4,5,1,3,2,2] => [{3},{5,6},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,4,1,5] => [5,1,4,3,2,2] => [{2},{5,6},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,4,5,1] => [1,5,4,3,2,2] => [{1},{5,6},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,5,1,4] => [4,1,5,3,2,2] => [{2},{5,6},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,5,4,1] => [1,4,5,3,2,2] => [{1},{5,6},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,3,5] => [5,3,1,4,2,2] => [{3},{5,6},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,5,3] => [3,5,1,4,2,2] => [{3},{5,6},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,3,1,5] => [5,1,3,4,2,2] => [{2},{5,6},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,3,5,1] => [1,5,3,4,2,2] => [{1},{5,6},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,5,1,3] => [3,1,5,4,2,2] => [{2},{5,6},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,5,3,1] => [1,3,5,4,2,2] => [{1},{5,6},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,3,4] => [4,3,1,5,2,2] => [{3},{5,6},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,4,3] => [3,4,1,5,2,2] => [{3},{5,6},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,3,1,4] => [4,1,3,5,2,2] => [{2},{5,6},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,3,4,1] => [1,4,3,5,2,2] => [{1},{5,6},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,4,1,3] => [3,1,4,5,2,2] => [{2},{5,6},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,4,3,1] => [1,3,4,5,2,2] => [{1},{5,6},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,3,1,2,4,5] => [5,4,2,1,3,2] => [{4},{3,6},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,2,5,4] => [4,5,2,1,3,2] => [{4},{3,6},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,4,2,5] => [5,2,4,1,3,2] => [{4},{2,6},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,4,5,2] => [2,5,4,1,3,2] => [{4},{1,6},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,1,5,2,4] => [4,2,5,1,3,2] => [{4},{2,6},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,5,4,2] => [2,4,5,1,3,2] => [{4},{1,6},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,2,1,4,5] => [5,4,1,2,3,2] => [{3},{4,6},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,1,5,4] => [4,5,1,2,3,2] => [{3},{4,6},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,4,1,5] => [5,1,4,2,3,2] => [{2},{4,6},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,4,5,1] => [1,5,4,2,3,2] => [{1},{4,6},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,5,1,4] => [4,1,5,2,3,2] => [{2},{4,6},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,5,4,1] => [1,4,5,2,3,2] => [{1},{4,6},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,4,1,2,5] => [5,2,1,4,3,2] => [{3},{2,6},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,4,1,5,2] => [2,5,1,4,3,2] => [{3},{1,6},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,4,2,1,5] => [5,1,2,4,3,2] => [{2},{3,6},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,4,2,5,1] => [1,5,2,4,3,2] => [{1},{3,6},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,4,5,1,2] => [2,1,5,4,3,2] => [{2},{1,6},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,4,5,2,1] => [1,2,5,4,3,2] => [{1},{2,6},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,5,1,2,4] => [4,2,1,5,3,2] => [{3},{2,6},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,3,5,1,4,2] => [2,4,1,5,3,2] => [{3},{1,6},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,5,2,1,4] => [4,1,2,5,3,2] => [{2},{3,6},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,5,2,4,1] => [1,4,2,5,3,2] => [{1},{3,6},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,5,4,1,2] => [2,1,4,5,3,2] => [{2},{1,6},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,5,4,2,1] => [1,2,4,5,3,2] => [{1},{2,6},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,2,3,5] => [5,3,2,1,4,2] => [{4},{3,6},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,2,5,3] => [3,5,2,1,4,2] => [{4},{3,6},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,3,2,5] => [5,2,3,1,4,2] => [{4},{2,6},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,3,5,2] => [2,5,3,1,4,2] => [{4},{1,6},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,1,5,2,3] => [3,2,5,1,4,2] => [{4},{2,6},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,5,3,2] => [2,3,5,1,4,2] => [{4},{1,6},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,2,1,3,5] => [5,3,1,2,4,2] => [{3},{4,6},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,1,5,3] => [3,5,1,2,4,2] => [{3},{4,6},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,3,1,5] => [5,1,3,2,4,2] => [{2},{4,6},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,3,5,1] => [1,5,3,2,4,2] => [{1},{4,6},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,5,1,3] => [3,1,5,2,4,2] => [{2},{4,6},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,5,3,1] => [1,3,5,2,4,2] => [{1},{4,6},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,3,1,2,5] => [5,2,1,3,4,2] => [{3},{2,6},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,3,1,5,2] => [2,5,1,3,4,2] => [{3},{1,6},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,3,2,1,5] => [5,1,2,3,4,2] => [{2},{3,6},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,3,2,5,1] => [1,5,2,3,4,2] => [{1},{3,6},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,3,5,1,2] => [2,1,5,3,4,2] => [{2},{1,6},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,3,5,2,1] => [1,2,5,3,4,2] => [{1},{2,6},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,5,1,2,3] => [3,2,1,5,4,2] => [{3},{2,6},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,4,5,1,3,2] => [2,3,1,5,4,2] => [{3},{1,6},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,5,2,1,3] => [3,1,2,5,4,2] => [{2},{3,6},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,5,2,3,1] => [1,3,2,5,4,2] => [{1},{3,6},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,5,3,1,2] => [2,1,3,5,4,2] => [{2},{1,6},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,5,3,2,1] => [1,2,3,5,4,2] => [{1},{2,6},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,2,3,4] => [4,3,2,1,5,2] => [{4},{3,6},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,2,4,3] => [3,4,2,1,5,2] => [{4},{3,6},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,3,2,4] => [4,2,3,1,5,2] => [{4},{2,6},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,3,4,2] => [2,4,3,1,5,2] => [{4},{1,6},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,1,4,2,3] => [3,2,4,1,5,2] => [{4},{2,6},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,4,3,2] => [2,3,4,1,5,2] => [{4},{1,6},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,2,1,3,4] => [4,3,1,2,5,2] => [{3},{4,6},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,1,4,3] => [3,4,1,2,5,2] => [{3},{4,6},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,3,1,4] => [4,1,3,2,5,2] => [{2},{4,6},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,3,4,1] => [1,4,3,2,5,2] => [{1},{4,6},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,4,1,3] => [3,1,4,2,5,2] => [{2},{4,6},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,4,3,1] => [1,3,4,2,5,2] => [{1},{4,6},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,5,3,1,2,4] => [4,2,1,3,5,2] => [{3},{2,6},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,5,3,1,4,2] => [2,4,1,3,5,2] => [{3},{1,6},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,3,2,1,4] => [4,1,2,3,5,2] => [{2},{3,6},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,3,2,4,1] => [1,4,2,3,5,2] => [{1},{3,6},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,3,4,1,2] => [2,1,4,3,5,2] => [{2},{1,6},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,3,4,2,1] => [1,2,4,3,5,2] => [{1},{2,6},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,5,4,1,2,3] => [3,2,1,4,5,2] => [{3},{2,6},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[2,5,4,1,3,2] => [2,3,1,4,5,2] => [{3},{1,6},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,4,2,1,3] => [3,1,2,4,5,2] => [{2},{3,6},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,4,2,3,1] => [1,3,2,4,5,2] => [{1},{3,6},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,5,4,3,1,2] => [2,1,3,4,5,2] => [{2},{1,6},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,5,4,3,2,1] => [1,2,3,4,5,2] => [{1},{2,6},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,2,4,5] => [5,4,2,2,1,3] => [{5},{3,4},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,2,5,4] => [4,5,2,2,1,3] => [{5},{3,4},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,4,2,5] => [5,2,4,2,1,3] => [{5},{2,4},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,4,5,2] => [2,5,4,2,1,3] => [{5},{1,4},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,1,2,5,2,4] => [4,2,5,2,1,3] => [{5},{2,4},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,5,4,2] => [2,4,5,2,1,3] => [{5},{1,4},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,2,2,5] => [5,2,2,4,1,3] => [{5},{2,3},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,1,4,2,5,2] => [2,5,2,4,1,3] => [{5},{1,3},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,1,4,5,2,2] => [2,2,5,4,1,3] => [{5},{1,2},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,1,5,2,2,4] => [4,2,2,5,1,3] => [{5},{2,3},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,1,5,2,4,2] => [2,4,2,5,1,3] => [{5},{1,3},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,1,5,4,2,2] => [2,2,4,5,1,3] => [{5},{1,2},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,2,1,2,4,5] => [5,4,2,1,2,3] => [{4},{3,5},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,2,5,4] => [4,5,2,1,2,3] => [{4},{3,5},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,4,2,5] => [5,2,4,1,2,3] => [{4},{2,5},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,4,5,2] => [2,5,4,1,2,3] => [{4},{1,5},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,5,2,4] => [4,2,5,1,2,3] => [{4},{2,5},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,5,4,2] => [2,4,5,1,2,3] => [{4},{1,5},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,2,1,4,5] => [5,4,1,2,2,3] => [{3},{4,5},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,1,5,4] => [4,5,1,2,2,3] => [{3},{4,5},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,4,1,5] => [5,1,4,2,2,3] => [{2},{4,5},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,4,5,1] => [1,5,4,2,2,3] => [{1},{4,5},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,5,1,4] => [4,1,5,2,2,3] => [{2},{4,5},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,5,4,1] => [1,4,5,2,2,3] => [{1},{4,5},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,4,1,2,5] => [5,2,1,4,2,3] => [{3},{2,5},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,4,1,5,2] => [2,5,1,4,2,3] => [{3},{1,5},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,4,2,1,5] => [5,1,2,4,2,3] => [{2},{3,5},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,4,2,5,1] => [1,5,2,4,2,3] => [{1},{3,5},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,4,5,1,2] => [2,1,5,4,2,3] => [{2},{1,5},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,4,5,2,1] => [1,2,5,4,2,3] => [{1},{2,5},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,5,1,2,4] => [4,2,1,5,2,3] => [{3},{2,5},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,2,5,1,4,2] => [2,4,1,5,2,3] => [{3},{1,5},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,5,2,1,4] => [4,1,2,5,2,3] => [{2},{3,5},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,5,2,4,1] => [1,4,2,5,2,3] => [{1},{3,5},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,5,4,1,2] => [2,1,4,5,2,3] => [{2},{1,5},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,5,4,2,1] => [1,2,4,5,2,3] => [{1},{2,5},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,1,2,2,5] => [5,2,2,1,4,3] => [{4},{2,3},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,4,1,2,5,2] => [2,5,2,1,4,3] => [{4},{1,3},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,4,1,5,2,2] => [2,2,5,1,4,3] => [{4},{1,2},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,4,2,1,2,5] => [5,2,1,2,4,3] => [{3},{2,4},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,4,2,1,5,2] => [2,5,1,2,4,3] => [{3},{1,4},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,2,1,5] => [5,1,2,2,4,3] => [{2},{3,4},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,4,2,2,5,1] => [1,5,2,2,4,3] => [{1},{3,4},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,4,2,5,1,2] => [2,1,5,2,4,3] => [{2},{1,4},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,5,2,1] => [1,2,5,2,4,3] => [{1},{2,4},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,4,5,1,2,2] => [2,2,1,5,4,3] => [{3},{1,2},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,4,5,2,1,2] => [2,1,2,5,4,3] => [{2},{1,3},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,4,5,2,2,1] => [1,2,2,5,4,3] => [{1},{2,3},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,5,1,2,2,4] => [4,2,2,1,5,3] => [{4},{2,3},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,5,1,2,4,2] => [2,4,2,1,5,3] => [{4},{1,3},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,1,4,2,2] => [2,2,4,1,5,3] => [{4},{1,2},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,5,2,1,2,4] => [4,2,1,2,5,3] => [{3},{2,4},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,2,1,4,2] => [2,4,1,2,5,3] => [{3},{1,4},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,2,1,4] => [4,1,2,2,5,3] => [{2},{3,4},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,5,2,2,4,1] => [1,4,2,2,5,3] => [{1},{3,4},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,5,2,4,1,2] => [2,1,4,2,5,3] => [{2},{1,4},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,4,2,1] => [1,2,4,2,5,3] => [{1},{2,4},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,4,1,2,2] => [2,2,1,4,5,3] => [{3},{1,2},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,5,4,2,1,2] => [2,1,2,4,5,3] => [{2},{1,3},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,4,2,2,1] => [1,2,2,4,5,3] => [{1},{2,3},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[4,1,2,2,3,5] => [5,3,2,2,1,4] => [{5},{3,4},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,2,5,3] => [3,5,2,2,1,4] => [{5},{3,4},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,3,2,5] => [5,2,3,2,1,4] => [{5},{2,4},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,3,5,2] => [2,5,3,2,1,4] => [{5},{1,4},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,1,2,5,2,3] => [3,2,5,2,1,4] => [{5},{2,4},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,5,3,2] => [2,3,5,2,1,4] => [{5},{1,4},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,2,2,5] => [5,2,2,3,1,4] => [{5},{2,3},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,1,3,2,5,2] => [2,5,2,3,1,4] => [{5},{1,3},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,1,3,5,2,2] => [2,2,5,3,1,4] => [{5},{1,2},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,1,5,2,2,3] => [3,2,2,5,1,4] => [{5},{2,3},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,1,5,2,3,2] => [2,3,2,5,1,4] => [{5},{1,3},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,1,5,3,2,2] => [2,2,3,5,1,4] => [{5},{1,2},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,2,1,2,3,5] => [5,3,2,1,2,4] => [{4},{3,5},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,2,5,3] => [3,5,2,1,2,4] => [{4},{3,5},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,3,2,5] => [5,2,3,1,2,4] => [{4},{2,5},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,3,5,2] => [2,5,3,1,2,4] => [{4},{1,5},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,5,2,3] => [3,2,5,1,2,4] => [{4},{2,5},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,5,3,2] => [2,3,5,1,2,4] => [{4},{1,5},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,2,1,3,5] => [5,3,1,2,2,4] => [{3},{4,5},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,1,5,3] => [3,5,1,2,2,4] => [{3},{4,5},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,3,1,5] => [5,1,3,2,2,4] => [{2},{4,5},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,3,5,1] => [1,5,3,2,2,4] => [{1},{4,5},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,5,1,3] => [3,1,5,2,2,4] => [{2},{4,5},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,5,3,1] => [1,3,5,2,2,4] => [{1},{4,5},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,3,1,2,5] => [5,2,1,3,2,4] => [{3},{2,5},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,3,1,5,2] => [2,5,1,3,2,4] => [{3},{1,5},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,3,2,1,5] => [5,1,2,3,2,4] => [{2},{3,5},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,3,2,5,1] => [1,5,2,3,2,4] => [{1},{3,5},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,3,5,1,2] => [2,1,5,3,2,4] => [{2},{1,5},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,3,5,2,1] => [1,2,5,3,2,4] => [{1},{2,5},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,5,1,2,3] => [3,2,1,5,2,4] => [{3},{2,5},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,2,5,1,3,2] => [2,3,1,5,2,4] => [{3},{1,5},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,5,2,1,3] => [3,1,2,5,2,4] => [{2},{3,5},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,5,2,3,1] => [1,3,2,5,2,4] => [{1},{3,5},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,5,3,1,2] => [2,1,3,5,2,4] => [{2},{1,5},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,5,3,2,1] => [1,2,3,5,2,4] => [{1},{2,5},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,1,2,2,5] => [5,2,2,1,3,4] => [{4},{2,3},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,3,1,2,5,2] => [2,5,2,1,3,4] => [{4},{1,3},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,3,1,5,2,2] => [2,2,5,1,3,4] => [{4},{1,2},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,3,2,1,2,5] => [5,2,1,2,3,4] => [{3},{2,4},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,3,2,1,5,2] => [2,5,1,2,3,4] => [{3},{1,4},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,2,1,5] => [5,1,2,2,3,4] => [{2},{3,4},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,3,2,2,5,1] => [1,5,2,2,3,4] => [{1},{3,4},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,3,2,5,1,2] => [2,1,5,2,3,4] => [{2},{1,4},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,5,2,1] => [1,2,5,2,3,4] => [{1},{2,4},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,3,5,1,2,2] => [2,2,1,5,3,4] => [{3},{1,2},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,3,5,2,1,2] => [2,1,2,5,3,4] => [{2},{1,3},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,3,5,2,2,1] => [1,2,2,5,3,4] => [{1},{2,3},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,5,1,2,2,3] => [3,2,2,1,5,4] => [{4},{2,3},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,5,1,2,3,2] => [2,3,2,1,5,4] => [{4},{1,3},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,1,3,2,2] => [2,2,3,1,5,4] => [{4},{1,2},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,5,2,1,2,3] => [3,2,1,2,5,4] => [{3},{2,4},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,2,1,3,2] => [2,3,1,2,5,4] => [{3},{1,4},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,2,1,3] => [3,1,2,2,5,4] => [{2},{3,4},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,5,2,2,3,1] => [1,3,2,2,5,4] => [{1},{3,4},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,5,2,3,1,2] => [2,1,3,2,5,4] => [{2},{1,4},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,3,2,1] => [1,2,3,2,5,4] => [{1},{2,4},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,3,1,2,2] => [2,2,1,3,5,4] => [{3},{1,2},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,5,3,2,1,2] => [2,1,2,3,5,4] => [{2},{1,3},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,3,2,2,1] => [1,2,2,3,5,4] => [{1},{2,3},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,1,2,2,3,4] => [4,3,2,2,1,5] => [{5},{3,4},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,2,4,3] => [3,4,2,2,1,5] => [{5},{3,4},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,3,2,4] => [4,2,3,2,1,5] => [{5},{2,4},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,3,4,2] => [2,4,3,2,1,5] => [{5},{1,4},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,2,4,2,3] => [3,2,4,2,1,5] => [{5},{2,4},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,4,3,2] => [2,3,4,2,1,5] => [{5},{1,4},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,2,2,4] => [4,2,2,3,1,5] => [{5},{2,3},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,1,3,2,4,2] => [2,4,2,3,1,5] => [{5},{1,3},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,3,4,2,2] => [2,2,4,3,1,5] => [{5},{1,2},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,1,4,2,2,3] => [3,2,2,4,1,5] => [{5},{2,3},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,1,4,2,3,2] => [2,3,2,4,1,5] => [{5},{1,3},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,4,3,2,2] => [2,2,3,4,1,5] => [{5},{1,2},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,1,2,3,4] => [4,3,2,1,2,5] => [{4},{3,5},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,2,4,3] => [3,4,2,1,2,5] => [{4},{3,5},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,3,2,4] => [4,2,3,1,2,5] => [{4},{2,5},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,3,4,2] => [2,4,3,1,2,5] => [{4},{1,5},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,4,2,3] => [3,2,4,1,2,5] => [{4},{2,5},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,4,3,2] => [2,3,4,1,2,5] => [{4},{1,5},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,2,1,3,4] => [4,3,1,2,2,5] => [{3},{4,5},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,1,4,3] => [3,4,1,2,2,5] => [{3},{4,5},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,3,1,4] => [4,1,3,2,2,5] => [{2},{4,5},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,3,4,1] => [1,4,3,2,2,5] => [{1},{4,5},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,4,1,3] => [3,1,4,2,2,5] => [{2},{4,5},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,4,3,1] => [1,3,4,2,2,5] => [{1},{4,5},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,2,3,1,2,4] => [4,2,1,3,2,5] => [{3},{2,5},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,2,3,1,4,2] => [2,4,1,3,2,5] => [{3},{1,5},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,3,2,1,4] => [4,1,2,3,2,5] => [{2},{3,5},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,3,2,4,1] => [1,4,2,3,2,5] => [{1},{3,5},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,3,4,1,2] => [2,1,4,3,2,5] => [{2},{1,5},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,3,4,2,1] => [1,2,4,3,2,5] => [{1},{2,5},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,2,4,1,2,3] => [3,2,1,4,2,5] => [{3},{2,5},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,2,4,1,3,2] => [2,3,1,4,2,5] => [{3},{1,5},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,4,2,1,3] => [3,1,2,4,2,5] => [{2},{3,5},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,4,2,3,1] => [1,3,2,4,2,5] => [{1},{3,5},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,2,4,3,1,2] => [2,1,3,4,2,5] => [{2},{1,5},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,2,4,3,2,1] => [1,2,3,4,2,5] => [{1},{2,5},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,1,2,2,4] => [4,2,2,1,3,5] => [{4},{2,3},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,1,2,4,2] => [2,4,2,1,3,5] => [{4},{1,3},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,1,4,2,2] => [2,2,4,1,3,5] => [{4},{1,2},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,2,1,2,4] => [4,2,1,2,3,5] => [{3},{2,4},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,2,1,4,2] => [2,4,1,2,3,5] => [{3},{1,4},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,2,1,4] => [4,1,2,2,3,5] => [{2},{3,4},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,2,2,4,1] => [1,4,2,2,3,5] => [{1},{3,4},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,2,4,1,2] => [2,1,4,2,3,5] => [{2},{1,4},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,4,2,1] => [1,2,4,2,3,5] => [{1},{2,4},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,4,1,2,2] => [2,2,1,4,3,5] => [{3},{1,2},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,4,2,1,2] => [2,1,2,4,3,5] => [{2},{1,3},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,4,2,2,1] => [1,2,2,4,3,5] => [{1},{2,3},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,1,2,2,3] => [3,2,2,1,4,5] => [{4},{2,3},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,1,2,3,2] => [2,3,2,1,4,5] => [{4},{1,3},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,1,3,2,2] => [2,2,3,1,4,5] => [{4},{1,2},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,2,1,2,3] => [3,2,1,2,4,5] => [{3},{2,4},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,2,1,3,2] => [2,3,1,2,4,5] => [{3},{1,4},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,2,1,3] => [3,1,2,2,4,5] => [{2},{3,4},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,2,2,3,1] => [1,3,2,2,4,5] => [{1},{3,4},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,2,3,1,2] => [2,1,3,2,4,5] => [{2},{1,4},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,3,2,1] => [1,2,3,2,4,5] => [{1},{2,4},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,3,1,2,2] => [2,2,1,3,4,5] => [{3},{1,2},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,3,2,1,2] => [2,1,2,3,4,5] => [{2},{1,3},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,3,2,2,1] => [1,2,2,3,4,5] => [{1},{2,3},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[1,2,2,3,4,6] => [6,4,3,2,2,1] => [{6},{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,3,6,4] => [4,6,3,2,2,1] => [{6},{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,4,3,6] => [6,3,4,2,2,1] => [{6},{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,4,6,3] => [3,6,4,2,2,1] => [{6},{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,3,4] => [4,3,6,2,2,1] => [{6},{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,4,3] => [3,4,6,2,2,1] => [{6},{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,3,2,4,6] => [6,4,2,3,2,1] => [{6},{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,2,6,4] => [4,6,2,3,2,1] => [{6},{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,4,2,6] => [6,2,4,3,2,1] => [{6},{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,4,6,2] => [2,6,4,3,2,1] => [{6},{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,3,6,2,4] => [4,2,6,3,2,1] => [{6},{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,6,4,2] => [2,4,6,3,2,1] => [{6},{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,4,2,3,6] => [6,3,2,4,2,1] => [{6},{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,2,6,3] => [3,6,2,4,2,1] => [{6},{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,3,2,6] => [6,2,3,4,2,1] => [{6},{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,3,6,2] => [2,6,3,4,2,1] => [{6},{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,4,6,2,3] => [3,2,6,4,2,1] => [{6},{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,6,3,2] => [2,3,6,4,2,1] => [{6},{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,2,3,4] => [4,3,2,6,2,1] => [{6},{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,2,4,3] => [3,4,2,6,2,1] => [{6},{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,3,2,4] => [4,2,3,6,2,1] => [{6},{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,3,4,2] => [2,4,3,6,2,1] => [{6},{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,4,2,3] => [3,2,4,6,2,1] => [{6},{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,4,3,2] => [2,3,4,6,2,1] => [{6},{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,2,4,6] => [6,4,2,2,3,1] => [{6},{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,2,6,4] => [4,6,2,2,3,1] => [{6},{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,4,2,6] => [6,2,4,2,3,1] => [{6},{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,4,6,2] => [2,6,4,2,3,1] => [{6},{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,3,2,6,2,4] => [4,2,6,2,3,1] => [{6},{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,6,4,2] => [2,4,6,2,3,1] => [{6},{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,2,2,6] => [6,2,2,4,3,1] => [{6},{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,3,4,2,6,2] => [2,6,2,4,3,1] => [{6},{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,3,4,6,2,2] => [2,2,6,4,3,1] => [{6},{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,3,6,2,2,4] => [4,2,2,6,3,1] => [{6},{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,3,6,2,4,2] => [2,4,2,6,3,1] => [{6},{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,3,6,4,2,2] => [2,2,4,6,3,1] => [{6},{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,4,2,2,3,6] => [6,3,2,2,4,1] => [{6},{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,2,6,3] => [3,6,2,2,4,1] => [{6},{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,3,2,6] => [6,2,3,2,4,1] => [{6},{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,3,6,2] => [2,6,3,2,4,1] => [{6},{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,4,2,6,2,3] => [3,2,6,2,4,1] => [{6},{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,6,3,2] => [2,3,6,2,4,1] => [{6},{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,2,2,6] => [6,2,2,3,4,1] => [{6},{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,4,3,2,6,2] => [2,6,2,3,4,1] => [{6},{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,4,3,6,2,2] => [2,2,6,3,4,1] => [{6},{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,4,6,2,2,3] => [3,2,2,6,4,1] => [{6},{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,4,6,2,3,2] => [2,3,2,6,4,1] => [{6},{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,4,6,3,2,2] => [2,2,3,6,4,1] => [{6},{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,6,2,2,3,4] => [4,3,2,2,6,1] => [{6},{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,2,4,3] => [3,4,2,2,6,1] => [{6},{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,3,2,4] => [4,2,3,2,6,1] => [{6},{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,3,4,2] => [2,4,3,2,6,1] => [{6},{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,2,4,2,3] => [3,2,4,2,6,1] => [{6},{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,4,3,2] => [2,3,4,2,6,1] => [{6},{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,2,2,4] => [4,2,2,3,6,1] => [{6},{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,3,2,4,2] => [2,4,2,3,6,1] => [{6},{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,3,4,2,2] => [2,2,4,3,6,1] => [{6},{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,4,2,2,3] => [3,2,2,4,6,1] => [{6},{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,4,2,3,2] => [2,3,2,4,6,1] => [{6},{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,4,3,2,2] => [2,2,3,4,6,1] => [{6},{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,1,2,3,4,6] => [6,4,3,2,1,2] => [{5},{4,6},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,3,6,4] => [4,6,3,2,1,2] => [{5},{4,6},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,4,3,6] => [6,3,4,2,1,2] => [{5},{4,6},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,4,6,3] => [3,6,4,2,1,2] => [{5},{4,6},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,3,4] => [4,3,6,2,1,2] => [{5},{4,6},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,4,3] => [3,4,6,2,1,2] => [{5},{4,6},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,3,2,4,6] => [6,4,2,3,1,2] => [{5},{3,6},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,2,6,4] => [4,6,2,3,1,2] => [{5},{3,6},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,4,2,6] => [6,2,4,3,1,2] => [{5},{2,6},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,4,6,2] => [2,6,4,3,1,2] => [{5},{1,6},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,3,6,2,4] => [4,2,6,3,1,2] => [{5},{2,6},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,6,4,2] => [2,4,6,3,1,2] => [{5},{1,6},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,4,2,3,6] => [6,3,2,4,1,2] => [{5},{3,6},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,2,6,3] => [3,6,2,4,1,2] => [{5},{3,6},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,3,2,6] => [6,2,3,4,1,2] => [{5},{2,6},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,3,6,2] => [2,6,3,4,1,2] => [{5},{1,6},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,4,6,2,3] => [3,2,6,4,1,2] => [{5},{2,6},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,6,3,2] => [2,3,6,4,1,2] => [{5},{1,6},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,2,3,4] => [4,3,2,6,1,2] => [{5},{3,6},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,2,4,3] => [3,4,2,6,1,2] => [{5},{3,6},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,3,2,4] => [4,2,3,6,1,2] => [{5},{2,6},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,3,4,2] => [2,4,3,6,1,2] => [{5},{1,6},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,4,2,3] => [3,2,4,6,1,2] => [{5},{2,6},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,4,3,2] => [2,3,4,6,1,2] => [{5},{1,6},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,2,1,3,4,6] => [6,4,3,1,2,2] => [{4},{5,6},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,3,6,4] => [4,6,3,1,2,2] => [{4},{5,6},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,4,3,6] => [6,3,4,1,2,2] => [{4},{5,6},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,4,6,3] => [3,6,4,1,2,2] => [{4},{5,6},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,3,4] => [4,3,6,1,2,2] => [{4},{5,6},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,4,3] => [3,4,6,1,2,2] => [{4},{5,6},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,4,6] => [6,4,1,3,2,2] => [{3},{5,6},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,6,4] => [4,6,1,3,2,2] => [{3},{5,6},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,4,1,6] => [6,1,4,3,2,2] => [{2},{5,6},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,4,6,1] => [1,6,4,3,2,2] => [{1},{5,6},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,6,1,4] => [4,1,6,3,2,2] => [{2},{5,6},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,6,4,1] => [1,4,6,3,2,2] => [{1},{5,6},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,3,6] => [6,3,1,4,2,2] => [{3},{5,6},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,6,3] => [3,6,1,4,2,2] => [{3},{5,6},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,3,1,6] => [6,1,3,4,2,2] => [{2},{5,6},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,3,6,1] => [1,6,3,4,2,2] => [{1},{5,6},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,6,1,3] => [3,1,6,4,2,2] => [{2},{5,6},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,6,3,1] => [1,3,6,4,2,2] => [{1},{5,6},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,3,4] => [4,3,1,6,2,2] => [{3},{5,6},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,4,3] => [3,4,1,6,2,2] => [{3},{5,6},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,3,1,4] => [4,1,3,6,2,2] => [{2},{5,6},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,3,4,1] => [1,4,3,6,2,2] => [{1},{5,6},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,4,1,3] => [3,1,4,6,2,2] => [{2},{5,6},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,4,3,1] => [1,3,4,6,2,2] => [{1},{5,6},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,3,1,2,4,6] => [6,4,2,1,3,2] => [{4},{3,6},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,2,6,4] => [4,6,2,1,3,2] => [{4},{3,6},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,4,2,6] => [6,2,4,1,3,2] => [{4},{2,6},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,4,6,2] => [2,6,4,1,3,2] => [{4},{1,6},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,1,6,2,4] => [4,2,6,1,3,2] => [{4},{2,6},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,6,4,2] => [2,4,6,1,3,2] => [{4},{1,6},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,2,1,4,6] => [6,4,1,2,3,2] => [{3},{4,6},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,1,6,4] => [4,6,1,2,3,2] => [{3},{4,6},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,4,1,6] => [6,1,4,2,3,2] => [{2},{4,6},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,4,6,1] => [1,6,4,2,3,2] => [{1},{4,6},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,6,1,4] => [4,1,6,2,3,2] => [{2},{4,6},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,6,4,1] => [1,4,6,2,3,2] => [{1},{4,6},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,4,1,2,6] => [6,2,1,4,3,2] => [{3},{2,6},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,4,1,6,2] => [2,6,1,4,3,2] => [{3},{1,6},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,4,2,1,6] => [6,1,2,4,3,2] => [{2},{3,6},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,4,2,6,1] => [1,6,2,4,3,2] => [{1},{3,6},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,4,6,1,2] => [2,1,6,4,3,2] => [{2},{1,6},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,4,6,2,1] => [1,2,6,4,3,2] => [{1},{2,6},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,6,1,2,4] => [4,2,1,6,3,2] => [{3},{2,6},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,3,6,1,4,2] => [2,4,1,6,3,2] => [{3},{1,6},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,6,2,1,4] => [4,1,2,6,3,2] => [{2},{3,6},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,6,2,4,1] => [1,4,2,6,3,2] => [{1},{3,6},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,6,4,1,2] => [2,1,4,6,3,2] => [{2},{1,6},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,6,4,2,1] => [1,2,4,6,3,2] => [{1},{2,6},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,2,3,6] => [6,3,2,1,4,2] => [{4},{3,6},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,2,6,3] => [3,6,2,1,4,2] => [{4},{3,6},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,3,2,6] => [6,2,3,1,4,2] => [{4},{2,6},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,3,6,2] => [2,6,3,1,4,2] => [{4},{1,6},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,1,6,2,3] => [3,2,6,1,4,2] => [{4},{2,6},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,6,3,2] => [2,3,6,1,4,2] => [{4},{1,6},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,2,1,3,6] => [6,3,1,2,4,2] => [{3},{4,6},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,1,6,3] => [3,6,1,2,4,2] => [{3},{4,6},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,3,1,6] => [6,1,3,2,4,2] => [{2},{4,6},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,3,6,1] => [1,6,3,2,4,2] => [{1},{4,6},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,6,1,3] => [3,1,6,2,4,2] => [{2},{4,6},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,6,3,1] => [1,3,6,2,4,2] => [{1},{4,6},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,3,1,2,6] => [6,2,1,3,4,2] => [{3},{2,6},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,3,1,6,2] => [2,6,1,3,4,2] => [{3},{1,6},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,3,2,1,6] => [6,1,2,3,4,2] => [{2},{3,6},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,3,2,6,1] => [1,6,2,3,4,2] => [{1},{3,6},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,3,6,1,2] => [2,1,6,3,4,2] => [{2},{1,6},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,3,6,2,1] => [1,2,6,3,4,2] => [{1},{2,6},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,6,1,2,3] => [3,2,1,6,4,2] => [{3},{2,6},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,4,6,1,3,2] => [2,3,1,6,4,2] => [{3},{1,6},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,6,2,1,3] => [3,1,2,6,4,2] => [{2},{3,6},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,6,2,3,1] => [1,3,2,6,4,2] => [{1},{3,6},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,6,3,1,2] => [2,1,3,6,4,2] => [{2},{1,6},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,6,3,2,1] => [1,2,3,6,4,2] => [{1},{2,6},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,2,3,4] => [4,3,2,1,6,2] => [{4},{3,6},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,2,4,3] => [3,4,2,1,6,2] => [{4},{3,6},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,3,2,4] => [4,2,3,1,6,2] => [{4},{2,6},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,3,4,2] => [2,4,3,1,6,2] => [{4},{1,6},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,1,4,2,3] => [3,2,4,1,6,2] => [{4},{2,6},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,4,3,2] => [2,3,4,1,6,2] => [{4},{1,6},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,2,1,3,4] => [4,3,1,2,6,2] => [{3},{4,6},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,1,4,3] => [3,4,1,2,6,2] => [{3},{4,6},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,3,1,4] => [4,1,3,2,6,2] => [{2},{4,6},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,3,4,1] => [1,4,3,2,6,2] => [{1},{4,6},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,4,1,3] => [3,1,4,2,6,2] => [{2},{4,6},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,4,3,1] => [1,3,4,2,6,2] => [{1},{4,6},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,3,1,2,4] => [4,2,1,3,6,2] => [{3},{2,6},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,3,1,4,2] => [2,4,1,3,6,2] => [{3},{1,6},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,3,2,1,4] => [4,1,2,3,6,2] => [{2},{3,6},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,3,2,4,1] => [1,4,2,3,6,2] => [{1},{3,6},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,3,4,1,2] => [2,1,4,3,6,2] => [{2},{1,6},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,3,4,2,1] => [1,2,4,3,6,2] => [{1},{2,6},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,4,1,2,3] => [3,2,1,4,6,2] => [{3},{2,6},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,4,1,3,2] => [2,3,1,4,6,2] => [{3},{1,6},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,4,2,1,3] => [3,1,2,4,6,2] => [{2},{3,6},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,4,2,3,1] => [1,3,2,4,6,2] => [{1},{3,6},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,4,3,1,2] => [2,1,3,4,6,2] => [{2},{1,6},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,4,3,2,1] => [1,2,3,4,6,2] => [{1},{2,6},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,2,4,6] => [6,4,2,2,1,3] => [{5},{3,4},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,2,6,4] => [4,6,2,2,1,3] => [{5},{3,4},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,4,2,6] => [6,2,4,2,1,3] => [{5},{2,4},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,4,6,2] => [2,6,4,2,1,3] => [{5},{1,4},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,1,2,6,2,4] => [4,2,6,2,1,3] => [{5},{2,4},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,6,4,2] => [2,4,6,2,1,3] => [{5},{1,4},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,2,2,6] => [6,2,2,4,1,3] => [{5},{2,3},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,1,4,2,6,2] => [2,6,2,4,1,3] => [{5},{1,3},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,1,4,6,2,2] => [2,2,6,4,1,3] => [{5},{1,2},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,1,6,2,2,4] => [4,2,2,6,1,3] => [{5},{2,3},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,1,6,2,4,2] => [2,4,2,6,1,3] => [{5},{1,3},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,1,6,4,2,2] => [2,2,4,6,1,3] => [{5},{1,2},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,2,1,2,4,6] => [6,4,2,1,2,3] => [{4},{3,5},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,2,6,4] => [4,6,2,1,2,3] => [{4},{3,5},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,4,2,6] => [6,2,4,1,2,3] => [{4},{2,5},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,4,6,2] => [2,6,4,1,2,3] => [{4},{1,5},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,6,2,4] => [4,2,6,1,2,3] => [{4},{2,5},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,6,4,2] => [2,4,6,1,2,3] => [{4},{1,5},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,2,1,4,6] => [6,4,1,2,2,3] => [{3},{4,5},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,1,6,4] => [4,6,1,2,2,3] => [{3},{4,5},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,4,1,6] => [6,1,4,2,2,3] => [{2},{4,5},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,4,6,1] => [1,6,4,2,2,3] => [{1},{4,5},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,6,1,4] => [4,1,6,2,2,3] => [{2},{4,5},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,6,4,1] => [1,4,6,2,2,3] => [{1},{4,5},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,4,1,2,6] => [6,2,1,4,2,3] => [{3},{2,5},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,4,1,6,2] => [2,6,1,4,2,3] => [{3},{1,5},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,4,2,1,6] => [6,1,2,4,2,3] => [{2},{3,5},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,4,2,6,1] => [1,6,2,4,2,3] => [{1},{3,5},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,4,6,1,2] => [2,1,6,4,2,3] => [{2},{1,5},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,4,6,2,1] => [1,2,6,4,2,3] => [{1},{2,5},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,6,1,2,4] => [4,2,1,6,2,3] => [{3},{2,5},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,2,6,1,4,2] => [2,4,1,6,2,3] => [{3},{1,5},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,6,2,1,4] => [4,1,2,6,2,3] => [{2},{3,5},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,6,2,4,1] => [1,4,2,6,2,3] => [{1},{3,5},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,6,4,1,2] => [2,1,4,6,2,3] => [{2},{1,5},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,6,4,2,1] => [1,2,4,6,2,3] => [{1},{2,5},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,1,2,2,6] => [6,2,2,1,4,3] => [{4},{2,3},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,4,1,2,6,2] => [2,6,2,1,4,3] => [{4},{1,3},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,4,1,6,2,2] => [2,2,6,1,4,3] => [{4},{1,2},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,4,2,1,2,6] => [6,2,1,2,4,3] => [{3},{2,4},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,4,2,1,6,2] => [2,6,1,2,4,3] => [{3},{1,4},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,2,1,6] => [6,1,2,2,4,3] => [{2},{3,4},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,4,2,2,6,1] => [1,6,2,2,4,3] => [{1},{3,4},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,4,2,6,1,2] => [2,1,6,2,4,3] => [{2},{1,4},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,4,2,6,2,1] => [1,2,6,2,4,3] => [{1},{2,4},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,4,6,1,2,2] => [2,2,1,6,4,3] => [{3},{1,2},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,4,6,2,1,2] => [2,1,2,6,4,3] => [{2},{1,3},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,4,6,2,2,1] => [1,2,2,6,4,3] => [{1},{2,3},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,6,1,2,2,4] => [4,2,2,1,6,3] => [{4},{2,3},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,1,2,4,2] => [2,4,2,1,6,3] => [{4},{1,3},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,1,4,2,2] => [2,2,4,1,6,3] => [{4},{1,2},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,2,1,2,4] => [4,2,1,2,6,3] => [{3},{2,4},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,2,1,4,2] => [2,4,1,2,6,3] => [{3},{1,4},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,2,1,4] => [4,1,2,2,6,3] => [{2},{3,4},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,2,2,4,1] => [1,4,2,2,6,3] => [{1},{3,4},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,2,4,1,2] => [2,1,4,2,6,3] => [{2},{1,4},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,4,2,1] => [1,2,4,2,6,3] => [{1},{2,4},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,4,1,2,2] => [2,2,1,4,6,3] => [{3},{1,2},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,4,2,1,2] => [2,1,2,4,6,3] => [{2},{1,3},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,4,2,2,1] => [1,2,2,4,6,3] => [{1},{2,3},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[4,1,2,2,3,6] => [6,3,2,2,1,4] => [{5},{3,4},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,2,6,3] => [3,6,2,2,1,4] => [{5},{3,4},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,3,2,6] => [6,2,3,2,1,4] => [{5},{2,4},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,3,6,2] => [2,6,3,2,1,4] => [{5},{1,4},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,1,2,6,2,3] => [3,2,6,2,1,4] => [{5},{2,4},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,6,3,2] => [2,3,6,2,1,4] => [{5},{1,4},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,2,2,6] => [6,2,2,3,1,4] => [{5},{2,3},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,1,3,2,6,2] => [2,6,2,3,1,4] => [{5},{1,3},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,1,3,6,2,2] => [2,2,6,3,1,4] => [{5},{1,2},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,1,6,2,2,3] => [3,2,2,6,1,4] => [{5},{2,3},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,1,6,2,3,2] => [2,3,2,6,1,4] => [{5},{1,3},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,1,6,3,2,2] => [2,2,3,6,1,4] => [{5},{1,2},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,2,1,2,3,6] => [6,3,2,1,2,4] => [{4},{3,5},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,2,6,3] => [3,6,2,1,2,4] => [{4},{3,5},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,3,2,6] => [6,2,3,1,2,4] => [{4},{2,5},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,3,6,2] => [2,6,3,1,2,4] => [{4},{1,5},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,6,2,3] => [3,2,6,1,2,4] => [{4},{2,5},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,6,3,2] => [2,3,6,1,2,4] => [{4},{1,5},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,2,1,3,6] => [6,3,1,2,2,4] => [{3},{4,5},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,1,6,3] => [3,6,1,2,2,4] => [{3},{4,5},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,3,1,6] => [6,1,3,2,2,4] => [{2},{4,5},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,3,6,1] => [1,6,3,2,2,4] => [{1},{4,5},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,6,1,3] => [3,1,6,2,2,4] => [{2},{4,5},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,6,3,1] => [1,3,6,2,2,4] => [{1},{4,5},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,3,1,2,6] => [6,2,1,3,2,4] => [{3},{2,5},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,3,1,6,2] => [2,6,1,3,2,4] => [{3},{1,5},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,3,2,1,6] => [6,1,2,3,2,4] => [{2},{3,5},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,3,2,6,1] => [1,6,2,3,2,4] => [{1},{3,5},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,3,6,1,2] => [2,1,6,3,2,4] => [{2},{1,5},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,3,6,2,1] => [1,2,6,3,2,4] => [{1},{2,5},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,6,1,2,3] => [3,2,1,6,2,4] => [{3},{2,5},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,2,6,1,3,2] => [2,3,1,6,2,4] => [{3},{1,5},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,6,2,1,3] => [3,1,2,6,2,4] => [{2},{3,5},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,6,2,3,1] => [1,3,2,6,2,4] => [{1},{3,5},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,6,3,1,2] => [2,1,3,6,2,4] => [{2},{1,5},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,6,3,2,1] => [1,2,3,6,2,4] => [{1},{2,5},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,1,2,2,6] => [6,2,2,1,3,4] => [{4},{2,3},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,3,1,2,6,2] => [2,6,2,1,3,4] => [{4},{1,3},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,3,1,6,2,2] => [2,2,6,1,3,4] => [{4},{1,2},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,3,2,1,2,6] => [6,2,1,2,3,4] => [{3},{2,4},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,3,2,1,6,2] => [2,6,1,2,3,4] => [{3},{1,4},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,2,1,6] => [6,1,2,2,3,4] => [{2},{3,4},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,3,2,2,6,1] => [1,6,2,2,3,4] => [{1},{3,4},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,3,2,6,1,2] => [2,1,6,2,3,4] => [{2},{1,4},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,3,2,6,2,1] => [1,2,6,2,3,4] => [{1},{2,4},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,3,6,1,2,2] => [2,2,1,6,3,4] => [{3},{1,2},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,3,6,2,1,2] => [2,1,2,6,3,4] => [{2},{1,3},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,3,6,2,2,1] => [1,2,2,6,3,4] => [{1},{2,3},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,6,1,2,2,3] => [3,2,2,1,6,4] => [{4},{2,3},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,1,2,3,2] => [2,3,2,1,6,4] => [{4},{1,3},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,1,3,2,2] => [2,2,3,1,6,4] => [{4},{1,2},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,2,1,2,3] => [3,2,1,2,6,4] => [{3},{2,4},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,2,1,3,2] => [2,3,1,2,6,4] => [{3},{1,4},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,2,1,3] => [3,1,2,2,6,4] => [{2},{3,4},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,2,2,3,1] => [1,3,2,2,6,4] => [{1},{3,4},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,2,3,1,2] => [2,1,3,2,6,4] => [{2},{1,4},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,3,2,1] => [1,2,3,2,6,4] => [{1},{2,4},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,3,1,2,2] => [2,2,1,3,6,4] => [{3},{1,2},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,3,2,1,2] => [2,1,2,3,6,4] => [{2},{1,3},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,3,2,2,1] => [1,2,2,3,6,4] => [{1},{2,3},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[6,1,2,2,3,4] => [4,3,2,2,1,6] => [{5},{3,4},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,2,4,3] => [3,4,2,2,1,6] => [{5},{3,4},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,3,2,4] => [4,2,3,2,1,6] => [{5},{2,4},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,3,4,2] => [2,4,3,2,1,6] => [{5},{1,4},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,2,4,2,3] => [3,2,4,2,1,6] => [{5},{2,4},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,4,3,2] => [2,3,4,2,1,6] => [{5},{1,4},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,2,2,4] => [4,2,2,3,1,6] => [{5},{2,3},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,3,2,4,2] => [2,4,2,3,1,6] => [{5},{1,3},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,3,4,2,2] => [2,2,4,3,1,6] => [{5},{1,2},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,4,2,2,3] => [3,2,2,4,1,6] => [{5},{2,3},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,4,2,3,2] => [2,3,2,4,1,6] => [{5},{1,3},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,4,3,2,2] => [2,2,3,4,1,6] => [{5},{1,2},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,1,2,3,4] => [4,3,2,1,2,6] => [{4},{3,5},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,2,4,3] => [3,4,2,1,2,6] => [{4},{3,5},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,3,2,4] => [4,2,3,1,2,6] => [{4},{2,5},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,3,4,2] => [2,4,3,1,2,6] => [{4},{1,5},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,4,2,3] => [3,2,4,1,2,6] => [{4},{2,5},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,4,3,2] => [2,3,4,1,2,6] => [{4},{1,5},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,2,1,3,4] => [4,3,1,2,2,6] => [{3},{4,5},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,1,4,3] => [3,4,1,2,2,6] => [{3},{4,5},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,3,1,4] => [4,1,3,2,2,6] => [{2},{4,5},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,3,4,1] => [1,4,3,2,2,6] => [{1},{4,5},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,4,1,3] => [3,1,4,2,2,6] => [{2},{4,5},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,4,3,1] => [1,3,4,2,2,6] => [{1},{4,5},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,3,1,2,4] => [4,2,1,3,2,6] => [{3},{2,5},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,3,1,4,2] => [2,4,1,3,2,6] => [{3},{1,5},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,3,2,1,4] => [4,1,2,3,2,6] => [{2},{3,5},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,3,2,4,1] => [1,4,2,3,2,6] => [{1},{3,5},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,3,4,1,2] => [2,1,4,3,2,6] => [{2},{1,5},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,3,4,2,1] => [1,2,4,3,2,6] => [{1},{2,5},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,4,1,2,3] => [3,2,1,4,2,6] => [{3},{2,5},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,4,1,3,2] => [2,3,1,4,2,6] => [{3},{1,5},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,4,2,1,3] => [3,1,2,4,2,6] => [{2},{3,5},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,4,2,3,1] => [1,3,2,4,2,6] => [{1},{3,5},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,4,3,1,2] => [2,1,3,4,2,6] => [{2},{1,5},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,4,3,2,1] => [1,2,3,4,2,6] => [{1},{2,5},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,1,2,2,4] => [4,2,2,1,3,6] => [{4},{2,3},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,1,2,4,2] => [2,4,2,1,3,6] => [{4},{1,3},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,1,4,2,2] => [2,2,4,1,3,6] => [{4},{1,2},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,2,1,2,4] => [4,2,1,2,3,6] => [{3},{2,4},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,2,1,4,2] => [2,4,1,2,3,6] => [{3},{1,4},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,2,1,4] => [4,1,2,2,3,6] => [{2},{3,4},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,2,2,4,1] => [1,4,2,2,3,6] => [{1},{3,4},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,2,4,1,2] => [2,1,4,2,3,6] => [{2},{1,4},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,4,2,1] => [1,2,4,2,3,6] => [{1},{2,4},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,4,1,2,2] => [2,2,1,4,3,6] => [{3},{1,2},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,4,2,1,2] => [2,1,2,4,3,6] => [{2},{1,3},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,4,2,2,1] => [1,2,2,4,3,6] => [{1},{2,3},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,1,2,2,3] => [3,2,2,1,4,6] => [{4},{2,3},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,1,2,3,2] => [2,3,2,1,4,6] => [{4},{1,3},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,1,3,2,2] => [2,2,3,1,4,6] => [{4},{1,2},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,2,1,2,3] => [3,2,1,2,4,6] => [{3},{2,4},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,2,1,3,2] => [2,3,1,2,4,6] => [{3},{1,4},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,2,1,3] => [3,1,2,2,4,6] => [{2},{3,4},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,2,2,3,1] => [1,3,2,2,4,6] => [{1},{3,4},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,2,3,1,2] => [2,1,3,2,4,6] => [{2},{1,4},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,3,2,1] => [1,2,3,2,4,6] => [{1},{2,4},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,3,1,2,2] => [2,2,1,3,4,6] => [{3},{1,2},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,3,2,1,2] => [2,1,2,3,4,6] => [{2},{1,3},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,3,2,2,1] => [1,2,2,3,4,6] => [{1},{2,3},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[1,2,2,3,5,5] => [5,5,3,2,2,1] => [{6},{4,5},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[1,2,2,5,3,5] => [5,3,5,2,2,1] => [{6},{4,5},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[1,2,2,5,5,3] => [3,5,5,2,2,1] => [{6},{4,5},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[1,2,3,2,5,5] => [5,5,2,3,2,1] => [{6},{3,5},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[1,2,3,5,2,5] => [5,2,5,3,2,1] => [{6},{2,5},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[1,2,3,5,5,2] => [2,5,5,3,2,1] => [{6},{1,5},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[1,2,5,2,3,5] => [5,3,2,5,2,1] => [{6},{3,5},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[1,2,5,2,5,3] => [3,5,2,5,2,1] => [{6},{3,5},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[1,2,5,3,2,5] => [5,2,3,5,2,1] => [{6},{2,5},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[1,2,5,3,5,2] => [2,5,3,5,2,1] => [{6},{1,5},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[1,2,5,5,2,3] => [3,2,5,5,2,1] => [{6},{2,5},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[1,2,5,5,3,2] => [2,3,5,5,2,1] => [{6},{1,5},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[1,3,2,2,5,5] => [5,5,2,2,3,1] => [{6},{3,4},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[1,3,2,5,2,5] => [5,2,5,2,3,1] => [{6},{2,4},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[1,3,2,5,5,2] => [2,5,5,2,3,1] => [{6},{1,4},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[1,3,5,2,2,5] => [5,2,2,5,3,1] => [{6},{2,3},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[1,3,5,2,5,2] => [2,5,2,5,3,1] => [{6},{1,3},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[1,3,5,5,2,2] => [2,2,5,5,3,1] => [{6},{1,2},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[1,5,2,2,3,5] => [5,3,2,2,5,1] => [{6},{3,4},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[1,5,2,2,5,3] => [3,5,2,2,5,1] => [{6},{3,4},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[1,5,2,3,2,5] => [5,2,3,2,5,1] => [{6},{2,4},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[1,5,2,3,5,2] => [2,5,3,2,5,1] => [{6},{1,4},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[1,5,2,5,2,3] => [3,2,5,2,5,1] => [{6},{2,4},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[1,5,2,5,3,2] => [2,3,5,2,5,1] => [{6},{1,4},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[1,5,3,2,2,5] => [5,2,2,3,5,1] => [{6},{2,3},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[1,5,3,2,5,2] => [2,5,2,3,5,1] => [{6},{1,3},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[1,5,3,5,2,2] => [2,2,5,3,5,1] => [{6},{1,2},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[1,5,5,2,2,3] => [3,2,2,5,5,1] => [{6},{2,3},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[1,5,5,2,3,2] => [2,3,2,5,5,1] => [{6},{1,3},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[1,5,5,3,2,2] => [2,2,3,5,5,1] => [{6},{1,2},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[2,1,2,3,5,5] => [5,5,3,2,1,2] => [{5},{4,6},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,1,2,5,3,5] => [5,3,5,2,1,2] => [{5},{4,6},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,1,2,5,5,3] => [3,5,5,2,1,2] => [{5},{4,6},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,1,3,2,5,5] => [5,5,2,3,1,2] => [{5},{3,6},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,1,3,5,2,5] => [5,2,5,3,1,2] => [{5},{2,6},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,1,3,5,5,2] => [2,5,5,3,1,2] => [{5},{1,6},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,1,5,2,3,5] => [5,3,2,5,1,2] => [{5},{3,6},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,1,5,2,5,3] => [3,5,2,5,1,2] => [{5},{3,6},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,1,5,3,2,5] => [5,2,3,5,1,2] => [{5},{2,6},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,1,5,3,5,2] => [2,5,3,5,1,2] => [{5},{1,6},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,1,5,5,2,3] => [3,2,5,5,1,2] => [{5},{2,6},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,1,5,5,3,2] => [2,3,5,5,1,2] => [{5},{1,6},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,2,1,3,5,5] => [5,5,3,1,2,2] => [{4},{5,6},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,1,5,3,5] => [5,3,5,1,2,2] => [{4},{5,6},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,1,5,5,3] => [3,5,5,1,2,2] => [{4},{5,6},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,3,1,5,5] => [5,5,1,3,2,2] => [{3},{5,6},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,3,5,1,5] => [5,1,5,3,2,2] => [{2},{5,6},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,3,5,5,1] => [1,5,5,3,2,2] => [{1},{5,6},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,5,1,3,5] => [5,3,1,5,2,2] => [{3},{5,6},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,5,1,5,3] => [3,5,1,5,2,2] => [{3},{5,6},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,5,3,1,5] => [5,1,3,5,2,2] => [{2},{5,6},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,5,3,5,1] => [1,5,3,5,2,2] => [{1},{5,6},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,5,5,1,3] => [3,1,5,5,2,2] => [{2},{5,6},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,2,5,5,3,1] => [1,3,5,5,2,2] => [{1},{5,6},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,3,1,2,5,5] => [5,5,2,1,3,2] => [{4},{3,6},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,3,1,5,2,5] => [5,2,5,1,3,2] => [{4},{2,6},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,3,1,5,5,2] => [2,5,5,1,3,2] => [{4},{1,6},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,3,2,1,5,5] => [5,5,1,2,3,2] => [{3},{4,6},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,3,2,5,1,5] => [5,1,5,2,3,2] => [{2},{4,6},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,3,2,5,5,1] => [1,5,5,2,3,2] => [{1},{4,6},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,3,5,1,2,5] => [5,2,1,5,3,2] => [{3},{2,6},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,3,5,1,5,2] => [2,5,1,5,3,2] => [{3},{1,6},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,3,5,2,1,5] => [5,1,2,5,3,2] => [{2},{3,6},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,3,5,2,5,1] => [1,5,2,5,3,2] => [{1},{3,6},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,3,5,5,1,2] => [2,1,5,5,3,2] => [{2},{1,6},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,3,5,5,2,1] => [1,2,5,5,3,2] => [{1},{2,6},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,5,1,2,3,5] => [5,3,2,1,5,2] => [{4},{3,6},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,5,1,2,5,3] => [3,5,2,1,5,2] => [{4},{3,6},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,5,1,3,2,5] => [5,2,3,1,5,2] => [{4},{2,6},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,5,1,3,5,2] => [2,5,3,1,5,2] => [{4},{1,6},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,5,1,5,2,3] => [3,2,5,1,5,2] => [{4},{2,6},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,5,1,5,3,2] => [2,3,5,1,5,2] => [{4},{1,6},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,5,2,1,3,5] => [5,3,1,2,5,2] => [{3},{4,6},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,5,2,1,5,3] => [3,5,1,2,5,2] => [{3},{4,6},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,5,2,3,1,5] => [5,1,3,2,5,2] => [{2},{4,6},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,5,2,3,5,1] => [1,5,3,2,5,2] => [{1},{4,6},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,5,2,5,1,3] => [3,1,5,2,5,2] => [{2},{4,6},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,5,2,5,3,1] => [1,3,5,2,5,2] => [{1},{4,6},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,5,3,1,2,5] => [5,2,1,3,5,2] => [{3},{2,6},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,5,3,1,5,2] => [2,5,1,3,5,2] => [{3},{1,6},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,5,3,2,1,5] => [5,1,2,3,5,2] => [{2},{3,6},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,5,3,2,5,1] => [1,5,2,3,5,2] => [{1},{3,6},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,5,3,5,1,2] => [2,1,5,3,5,2] => [{2},{1,6},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,5,3,5,2,1] => [1,2,5,3,5,2] => [{1},{2,6},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,5,5,1,2,3] => [3,2,1,5,5,2] => [{3},{2,6},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[2,5,5,1,3,2] => [2,3,1,5,5,2] => [{3},{1,6},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,5,5,2,1,3] => [3,1,2,5,5,2] => [{2},{3,6},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,5,5,2,3,1] => [1,3,2,5,5,2] => [{1},{3,6},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,5,5,3,1,2] => [2,1,3,5,5,2] => [{2},{1,6},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,5,5,3,2,1] => [1,2,3,5,5,2] => [{1},{2,6},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,1,2,2,5,5] => [5,5,2,2,1,3] => [{5},{3,4},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[3,1,2,5,2,5] => [5,2,5,2,1,3] => [{5},{2,4},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[3,1,2,5,5,2] => [2,5,5,2,1,3] => [{5},{1,4},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[3,1,5,2,2,5] => [5,2,2,5,1,3] => [{5},{2,3},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[3,1,5,2,5,2] => [2,5,2,5,1,3] => [{5},{1,3},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[3,1,5,5,2,2] => [2,2,5,5,1,3] => [{5},{1,2},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[3,2,1,2,5,5] => [5,5,2,1,2,3] => [{4},{3,5},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[3,2,1,5,2,5] => [5,2,5,1,2,3] => [{4},{2,5},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[3,2,1,5,5,2] => [2,5,5,1,2,3] => [{4},{1,5},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[3,2,2,1,5,5] => [5,5,1,2,2,3] => [{3},{4,5},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[3,2,2,5,1,5] => [5,1,5,2,2,3] => [{2},{4,5},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[3,2,2,5,5,1] => [1,5,5,2,2,3] => [{1},{4,5},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[3,2,5,1,2,5] => [5,2,1,5,2,3] => [{3},{2,5},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[3,2,5,1,5,2] => [2,5,1,5,2,3] => [{3},{1,5},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[3,2,5,2,1,5] => [5,1,2,5,2,3] => [{2},{3,5},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[3,2,5,2,5,1] => [1,5,2,5,2,3] => [{1},{3,5},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[3,2,5,5,1,2] => [2,1,5,5,2,3] => [{2},{1,5},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[3,2,5,5,2,1] => [1,2,5,5,2,3] => [{1},{2,5},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[3,5,1,2,2,5] => [5,2,2,1,5,3] => [{4},{2,3},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[3,5,1,2,5,2] => [2,5,2,1,5,3] => [{4},{1,3},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[3,5,1,5,2,2] => [2,2,5,1,5,3] => [{4},{1,2},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[3,5,2,1,2,5] => [5,2,1,2,5,3] => [{3},{2,4},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[3,5,2,1,5,2] => [2,5,1,2,5,3] => [{3},{1,4},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[3,5,2,2,1,5] => [5,1,2,2,5,3] => [{2},{3,4},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[3,5,2,2,5,1] => [1,5,2,2,5,3] => [{1},{3,4},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[3,5,2,5,1,2] => [2,1,5,2,5,3] => [{2},{1,4},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[3,5,2,5,2,1] => [1,2,5,2,5,3] => [{1},{2,4},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[3,5,5,1,2,2] => [2,2,1,5,5,3] => [{3},{1,2},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[3,5,5,2,1,2] => [2,1,2,5,5,3] => [{2},{1,3},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[3,5,5,2,2,1] => [1,2,2,5,5,3] => [{1},{2,3},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[5,1,2,2,3,5] => [5,3,2,2,1,5] => [{5},{3,4},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,1,2,2,5,3] => [3,5,2,2,1,5] => [{5},{3,4},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,1,2,3,2,5] => [5,2,3,2,1,5] => [{5},{2,4},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,1,2,3,5,2] => [2,5,3,2,1,5] => [{5},{1,4},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,1,2,5,2,3] => [3,2,5,2,1,5] => [{5},{2,4},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,1,2,5,3,2] => [2,3,5,2,1,5] => [{5},{1,4},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,1,3,2,2,5] => [5,2,2,3,1,5] => [{5},{2,3},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,1,3,2,5,2] => [2,5,2,3,1,5] => [{5},{1,3},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,1,3,5,2,2] => [2,2,5,3,1,5] => [{5},{1,2},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,1,5,2,2,3] => [3,2,2,5,1,5] => [{5},{2,3},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,1,5,2,3,2] => [2,3,2,5,1,5] => [{5},{1,3},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,1,5,3,2,2] => [2,2,3,5,1,5] => [{5},{1,2},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,2,1,2,3,5] => [5,3,2,1,2,5] => [{4},{3,5},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,2,1,2,5,3] => [3,5,2,1,2,5] => [{4},{3,5},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,2,1,3,2,5] => [5,2,3,1,2,5] => [{4},{2,5},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,2,1,3,5,2] => [2,5,3,1,2,5] => [{4},{1,5},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,2,1,5,2,3] => [3,2,5,1,2,5] => [{4},{2,5},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,2,1,5,3,2] => [2,3,5,1,2,5] => [{4},{1,5},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,2,2,1,3,5] => [5,3,1,2,2,5] => [{3},{4,5},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,2,2,1,5,3] => [3,5,1,2,2,5] => [{3},{4,5},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,2,2,3,1,5] => [5,1,3,2,2,5] => [{2},{4,5},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,2,2,3,5,1] => [1,5,3,2,2,5] => [{1},{4,5},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,2,2,5,1,3] => [3,1,5,2,2,5] => [{2},{4,5},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,2,2,5,3,1] => [1,3,5,2,2,5] => [{1},{4,5},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,2,3,1,2,5] => [5,2,1,3,2,5] => [{3},{2,5},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,2,3,1,5,2] => [2,5,1,3,2,5] => [{3},{1,5},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,2,3,2,1,5] => [5,1,2,3,2,5] => [{2},{3,5},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,2,3,2,5,1] => [1,5,2,3,2,5] => [{1},{3,5},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,2,3,5,1,2] => [2,1,5,3,2,5] => [{2},{1,5},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,2,3,5,2,1] => [1,2,5,3,2,5] => [{1},{2,5},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,2,5,1,2,3] => [3,2,1,5,2,5] => [{3},{2,5},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,2,5,1,3,2] => [2,3,1,5,2,5] => [{3},{1,5},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,5,2,1,3] => [3,1,2,5,2,5] => [{2},{3,5},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,2,5,2,3,1] => [1,3,2,5,2,5] => [{1},{3,5},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,2,5,3,1,2] => [2,1,3,5,2,5] => [{2},{1,5},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,5,3,2,1] => [1,2,3,5,2,5] => [{1},{2,5},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,3,1,2,2,5] => [5,2,2,1,3,5] => [{4},{2,3},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,3,1,2,5,2] => [2,5,2,1,3,5] => [{4},{1,3},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,3,1,5,2,2] => [2,2,5,1,3,5] => [{4},{1,2},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,3,2,1,2,5] => [5,2,1,2,3,5] => [{3},{2,4},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,3,2,1,5,2] => [2,5,1,2,3,5] => [{3},{1,4},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,3,2,2,1,5] => [5,1,2,2,3,5] => [{2},{3,4},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,3,2,2,5,1] => [1,5,2,2,3,5] => [{1},{3,4},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,3,2,5,1,2] => [2,1,5,2,3,5] => [{2},{1,4},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,3,2,5,2,1] => [1,2,5,2,3,5] => [{1},{2,4},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,3,5,1,2,2] => [2,2,1,5,3,5] => [{3},{1,2},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,3,5,2,1,2] => [2,1,2,5,3,5] => [{2},{1,3},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,3,5,2,2,1] => [1,2,2,5,3,5] => [{1},{2,3},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,5,1,2,2,3] => [3,2,2,1,5,5] => [{4},{2,3},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,1,2,3,2] => [2,3,2,1,5,5] => [{4},{1,3},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,1,3,2,2] => [2,2,3,1,5,5] => [{4},{1,2},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,2,1,2,3] => [3,2,1,2,5,5] => [{3},{2,4},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,2,1,3,2] => [2,3,1,2,5,5] => [{3},{1,4},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,2,1,3] => [3,1,2,2,5,5] => [{2},{3,4},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,2,2,3,1] => [1,3,2,2,5,5] => [{1},{3,4},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,2,3,1,2] => [2,1,3,2,5,5] => [{2},{1,4},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,3,2,1] => [1,2,3,2,5,5] => [{1},{2,4},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,3,1,2,2] => [2,2,1,3,5,5] => [{3},{1,2},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,3,2,1,2] => [2,1,2,3,5,5] => [{2},{1,3},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,3,2,2,1] => [1,2,2,3,5,5] => [{1},{2,3},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[1,2,2,3,5,6] => [6,5,3,2,2,1] => [{6},{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,3,6,5] => [5,6,3,2,2,1] => [{6},{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,3,6] => [6,3,5,2,2,1] => [{6},{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,6,3] => [3,6,5,2,2,1] => [{6},{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,3,5] => [5,3,6,2,2,1] => [{6},{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,5,3] => [3,5,6,2,2,1] => [{6},{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,3,2,5,6] => [6,5,2,3,2,1] => [{6},{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,2,6,5] => [5,6,2,3,2,1] => [{6},{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,3,5,2,6] => [6,2,5,3,2,1] => [{6},{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,5,6,2] => [2,6,5,3,2,1] => [{6},{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,3,6,2,5] => [5,2,6,3,2,1] => [{6},{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,3,6,5,2] => [2,5,6,3,2,1] => [{6},{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,2,3,6] => [6,3,2,5,2,1] => [{6},{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,2,6,3] => [3,6,2,5,2,1] => [{6},{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,3,2,6] => [6,2,3,5,2,1] => [{6},{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,3,6,2] => [2,6,3,5,2,1] => [{6},{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,6,2,3] => [3,2,6,5,2,1] => [{6},{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,6,3,2] => [2,3,6,5,2,1] => [{6},{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,2,3,5] => [5,3,2,6,2,1] => [{6},{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,2,5,3] => [3,5,2,6,2,1] => [{6},{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,3,2,5] => [5,2,3,6,2,1] => [{6},{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,3,5,2] => [2,5,3,6,2,1] => [{6},{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,5,2,3] => [3,2,5,6,2,1] => [{6},{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,5,3,2] => [2,3,5,6,2,1] => [{6},{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,2,5,6] => [6,5,2,2,3,1] => [{6},{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,2,6,5] => [5,6,2,2,3,1] => [{6},{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,5,2,6] => [6,2,5,2,3,1] => [{6},{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,5,6,2] => [2,6,5,2,3,1] => [{6},{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,3,2,6,2,5] => [5,2,6,2,3,1] => [{6},{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,3,2,6,5,2] => [2,5,6,2,3,1] => [{6},{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,3,5,2,2,6] => [6,2,2,5,3,1] => [{6},{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,3,5,2,6,2] => [2,6,2,5,3,1] => [{6},{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,3,5,6,2,2] => [2,2,6,5,3,1] => [{6},{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,3,6,2,2,5] => [5,2,2,6,3,1] => [{6},{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,3,6,2,5,2] => [2,5,2,6,3,1] => [{6},{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,3,6,5,2,2] => [2,2,5,6,3,1] => [{6},{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,5,2,2,3,6] => [6,3,2,2,5,1] => [{6},{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,2,6,3] => [3,6,2,2,5,1] => [{6},{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,3,2,6] => [6,2,3,2,5,1] => [{6},{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,3,6,2] => [2,6,3,2,5,1] => [{6},{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,5,2,6,2,3] => [3,2,6,2,5,1] => [{6},{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,6,3,2] => [2,3,6,2,5,1] => [{6},{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,2,2,6] => [6,2,2,3,5,1] => [{6},{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,5,3,2,6,2] => [2,6,2,3,5,1] => [{6},{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,5,3,6,2,2] => [2,2,6,3,5,1] => [{6},{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,5,6,2,2,3] => [3,2,2,6,5,1] => [{6},{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,5,6,2,3,2] => [2,3,2,6,5,1] => [{6},{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,5,6,3,2,2] => [2,2,3,6,5,1] => [{6},{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,6,2,2,3,5] => [5,3,2,2,6,1] => [{6},{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,2,5,3] => [3,5,2,2,6,1] => [{6},{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,3,2,5] => [5,2,3,2,6,1] => [{6},{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,3,5,2] => [2,5,3,2,6,1] => [{6},{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,2,5,2,3] => [3,2,5,2,6,1] => [{6},{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,5,3,2] => [2,3,5,2,6,1] => [{6},{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,2,2,5] => [5,2,2,3,6,1] => [{6},{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,3,2,5,2] => [2,5,2,3,6,1] => [{6},{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,3,5,2,2] => [2,2,5,3,6,1] => [{6},{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,5,2,2,3] => [3,2,2,5,6,1] => [{6},{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,5,2,3,2] => [2,3,2,5,6,1] => [{6},{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,5,3,2,2] => [2,2,3,5,6,1] => [{6},{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,1,2,3,5,6] => [6,5,3,2,1,2] => [{5},{4,6},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,3,6,5] => [5,6,3,2,1,2] => [{5},{4,6},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,3,6] => [6,3,5,2,1,2] => [{5},{4,6},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,6,3] => [3,6,5,2,1,2] => [{5},{4,6},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,3,5] => [5,3,6,2,1,2] => [{5},{4,6},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,5,3] => [3,5,6,2,1,2] => [{5},{4,6},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,3,2,5,6] => [6,5,2,3,1,2] => [{5},{3,6},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,2,6,5] => [5,6,2,3,1,2] => [{5},{3,6},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,3,5,2,6] => [6,2,5,3,1,2] => [{5},{2,6},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,5,6,2] => [2,6,5,3,1,2] => [{5},{1,6},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,3,6,2,5] => [5,2,6,3,1,2] => [{5},{2,6},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,3,6,5,2] => [2,5,6,3,1,2] => [{5},{1,6},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,2,3,6] => [6,3,2,5,1,2] => [{5},{3,6},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,2,6,3] => [3,6,2,5,1,2] => [{5},{3,6},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,3,2,6] => [6,2,3,5,1,2] => [{5},{2,6},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,3,6,2] => [2,6,3,5,1,2] => [{5},{1,6},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,6,2,3] => [3,2,6,5,1,2] => [{5},{2,6},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,6,3,2] => [2,3,6,5,1,2] => [{5},{1,6},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,2,3,5] => [5,3,2,6,1,2] => [{5},{3,6},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,2,5,3] => [3,5,2,6,1,2] => [{5},{3,6},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,3,2,5] => [5,2,3,6,1,2] => [{5},{2,6},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,3,5,2] => [2,5,3,6,1,2] => [{5},{1,6},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,5,2,3] => [3,2,5,6,1,2] => [{5},{2,6},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,5,3,2] => [2,3,5,6,1,2] => [{5},{1,6},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,2,1,3,5,6] => [6,5,3,1,2,2] => [{4},{5,6},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,3,6,5] => [5,6,3,1,2,2] => [{4},{5,6},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,3,6] => [6,3,5,1,2,2] => [{4},{5,6},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,6,3] => [3,6,5,1,2,2] => [{4},{5,6},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,3,5] => [5,3,6,1,2,2] => [{4},{5,6},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,5,3] => [3,5,6,1,2,2] => [{4},{5,6},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,5,6] => [6,5,1,3,2,2] => [{3},{5,6},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,1,6,5] => [5,6,1,3,2,2] => [{3},{5,6},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,5,1,6] => [6,1,5,3,2,2] => [{2},{5,6},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,5,6,1] => [1,6,5,3,2,2] => [{1},{5,6},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,6,1,5] => [5,1,6,3,2,2] => [{2},{5,6},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,3,6,5,1] => [1,5,6,3,2,2] => [{1},{5,6},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,3,6] => [6,3,1,5,2,2] => [{3},{5,6},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,6,3] => [3,6,1,5,2,2] => [{3},{5,6},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,3,1,6] => [6,1,3,5,2,2] => [{2},{5,6},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,3,6,1] => [1,6,3,5,2,2] => [{1},{5,6},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,6,1,3] => [3,1,6,5,2,2] => [{2},{5,6},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,6,3,1] => [1,3,6,5,2,2] => [{1},{5,6},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,3,5] => [5,3,1,6,2,2] => [{3},{5,6},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,5,3] => [3,5,1,6,2,2] => [{3},{5,6},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,3,1,5] => [5,1,3,6,2,2] => [{2},{5,6},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,3,5,1] => [1,5,3,6,2,2] => [{1},{5,6},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,5,1,3] => [3,1,5,6,2,2] => [{2},{5,6},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,5,3,1] => [1,3,5,6,2,2] => [{1},{5,6},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,3,1,2,5,6] => [6,5,2,1,3,2] => [{4},{3,6},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,2,6,5] => [5,6,2,1,3,2] => [{4},{3,6},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,1,5,2,6] => [6,2,5,1,3,2] => [{4},{2,6},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,5,6,2] => [2,6,5,1,3,2] => [{4},{1,6},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,1,6,2,5] => [5,2,6,1,3,2] => [{4},{2,6},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,1,6,5,2] => [2,5,6,1,3,2] => [{4},{1,6},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,2,1,5,6] => [6,5,1,2,3,2] => [{3},{4,6},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,1,6,5] => [5,6,1,2,3,2] => [{3},{4,6},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,5,1,6] => [6,1,5,2,3,2] => [{2},{4,6},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,5,6,1] => [1,6,5,2,3,2] => [{1},{4,6},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,6,1,5] => [5,1,6,2,3,2] => [{2},{4,6},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,2,6,5,1] => [1,5,6,2,3,2] => [{1},{4,6},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,3,5,1,2,6] => [6,2,1,5,3,2] => [{3},{2,6},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,3,5,1,6,2] => [2,6,1,5,3,2] => [{3},{1,6},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,3,5,2,1,6] => [6,1,2,5,3,2] => [{2},{3,6},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,3,5,2,6,1] => [1,6,2,5,3,2] => [{1},{3,6},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,3,5,6,1,2] => [2,1,6,5,3,2] => [{2},{1,6},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,3,5,6,2,1] => [1,2,6,5,3,2] => [{1},{2,6},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,3,6,1,2,5] => [5,2,1,6,3,2] => [{3},{2,6},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,3,6,1,5,2] => [2,5,1,6,3,2] => [{3},{1,6},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,6,2,1,5] => [5,1,2,6,3,2] => [{2},{3,6},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,6,2,5,1] => [1,5,2,6,3,2] => [{1},{3,6},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,3,6,5,1,2] => [2,1,5,6,3,2] => [{2},{1,6},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,3,6,5,2,1] => [1,2,5,6,3,2] => [{1},{2,6},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,2,3,6] => [6,3,2,1,5,2] => [{4},{3,6},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,2,6,3] => [3,6,2,1,5,2] => [{4},{3,6},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,3,2,6] => [6,2,3,1,5,2] => [{4},{2,6},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,3,6,2] => [2,6,3,1,5,2] => [{4},{1,6},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,5,1,6,2,3] => [3,2,6,1,5,2] => [{4},{2,6},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,6,3,2] => [2,3,6,1,5,2] => [{4},{1,6},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,5,2,1,3,6] => [6,3,1,2,5,2] => [{3},{4,6},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,1,6,3] => [3,6,1,2,5,2] => [{3},{4,6},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,3,1,6] => [6,1,3,2,5,2] => [{2},{4,6},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,3,6,1] => [1,6,3,2,5,2] => [{1},{4,6},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,6,1,3] => [3,1,6,2,5,2] => [{2},{4,6},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,6,3,1] => [1,3,6,2,5,2] => [{1},{4,6},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,5,3,1,2,6] => [6,2,1,3,5,2] => [{3},{2,6},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,5,3,1,6,2] => [2,6,1,3,5,2] => [{3},{1,6},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,5,3,2,1,6] => [6,1,2,3,5,2] => [{2},{3,6},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,5,3,2,6,1] => [1,6,2,3,5,2] => [{1},{3,6},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,5,3,6,1,2] => [2,1,6,3,5,2] => [{2},{1,6},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,5,3,6,2,1] => [1,2,6,3,5,2] => [{1},{2,6},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,5,6,1,2,3] => [3,2,1,6,5,2] => [{3},{2,6},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,5,6,1,3,2] => [2,3,1,6,5,2] => [{3},{1,6},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,5,6,2,1,3] => [3,1,2,6,5,2] => [{2},{3,6},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,5,6,2,3,1] => [1,3,2,6,5,2] => [{1},{3,6},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,5,6,3,1,2] => [2,1,3,6,5,2] => [{2},{1,6},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,5,6,3,2,1] => [1,2,3,6,5,2] => [{1},{2,6},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,2,3,5] => [5,3,2,1,6,2] => [{4},{3,6},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,2,5,3] => [3,5,2,1,6,2] => [{4},{3,6},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,3,2,5] => [5,2,3,1,6,2] => [{4},{2,6},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,3,5,2] => [2,5,3,1,6,2] => [{4},{1,6},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,1,5,2,3] => [3,2,5,1,6,2] => [{4},{2,6},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,5,3,2] => [2,3,5,1,6,2] => [{4},{1,6},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,2,1,3,5] => [5,3,1,2,6,2] => [{3},{4,6},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,1,5,3] => [3,5,1,2,6,2] => [{3},{4,6},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,3,1,5] => [5,1,3,2,6,2] => [{2},{4,6},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,3,5,1] => [1,5,3,2,6,2] => [{1},{4,6},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,5,1,3] => [3,1,5,2,6,2] => [{2},{4,6},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,5,3,1] => [1,3,5,2,6,2] => [{1},{4,6},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,3,1,2,5] => [5,2,1,3,6,2] => [{3},{2,6},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,3,1,5,2] => [2,5,1,3,6,2] => [{3},{1,6},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,3,2,1,5] => [5,1,2,3,6,2] => [{2},{3,6},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,3,2,5,1] => [1,5,2,3,6,2] => [{1},{3,6},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,3,5,1,2] => [2,1,5,3,6,2] => [{2},{1,6},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,3,5,2,1] => [1,2,5,3,6,2] => [{1},{2,6},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,5,1,2,3] => [3,2,1,5,6,2] => [{3},{2,6},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,5,1,3,2] => [2,3,1,5,6,2] => [{3},{1,6},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,5,2,1,3] => [3,1,2,5,6,2] => [{2},{3,6},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,5,2,3,1] => [1,3,2,5,6,2] => [{1},{3,6},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,5,3,1,2] => [2,1,3,5,6,2] => [{2},{1,6},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,5,3,2,1] => [1,2,3,5,6,2] => [{1},{2,6},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,2,5,6] => [6,5,2,2,1,3] => [{5},{3,4},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,2,6,5] => [5,6,2,2,1,3] => [{5},{3,4},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,5,2,6] => [6,2,5,2,1,3] => [{5},{2,4},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,5,6,2] => [2,6,5,2,1,3] => [{5},{1,4},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[3,1,2,6,2,5] => [5,2,6,2,1,3] => [{5},{2,4},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[3,1,2,6,5,2] => [2,5,6,2,1,3] => [{5},{1,4},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[3,1,5,2,2,6] => [6,2,2,5,1,3] => [{5},{2,3},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[3,1,5,2,6,2] => [2,6,2,5,1,3] => [{5},{1,3},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[3,1,5,6,2,2] => [2,2,6,5,1,3] => [{5},{1,2},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[3,1,6,2,2,5] => [5,2,2,6,1,3] => [{5},{2,3},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[3,1,6,2,5,2] => [2,5,2,6,1,3] => [{5},{1,3},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[3,1,6,5,2,2] => [2,2,5,6,1,3] => [{5},{1,2},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[3,2,1,2,5,6] => [6,5,2,1,2,3] => [{4},{3,5},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,2,6,5] => [5,6,2,1,2,3] => [{4},{3,5},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,1,5,2,6] => [6,2,5,1,2,3] => [{4},{2,5},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,5,6,2] => [2,6,5,1,2,3] => [{4},{1,5},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,1,6,2,5] => [5,2,6,1,2,3] => [{4},{2,5},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,1,6,5,2] => [2,5,6,1,2,3] => [{4},{1,5},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,2,1,5,6] => [6,5,1,2,2,3] => [{3},{4,5},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,1,6,5] => [5,6,1,2,2,3] => [{3},{4,5},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,5,1,6] => [6,1,5,2,2,3] => [{2},{4,5},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,5,6,1] => [1,6,5,2,2,3] => [{1},{4,5},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,6,1,5] => [5,1,6,2,2,3] => [{2},{4,5},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,2,6,5,1] => [1,5,6,2,2,3] => [{1},{4,5},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[3,2,5,1,2,6] => [6,2,1,5,2,3] => [{3},{2,5},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[3,2,5,1,6,2] => [2,6,1,5,2,3] => [{3},{1,5},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[3,2,5,2,1,6] => [6,1,2,5,2,3] => [{2},{3,5},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[3,2,5,2,6,1] => [1,6,2,5,2,3] => [{1},{3,5},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[3,2,5,6,1,2] => [2,1,6,5,2,3] => [{2},{1,5},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[3,2,5,6,2,1] => [1,2,6,5,2,3] => [{1},{2,5},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[3,2,6,1,2,5] => [5,2,1,6,2,3] => [{3},{2,5},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[3,2,6,1,5,2] => [2,5,1,6,2,3] => [{3},{1,5},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,6,2,1,5] => [5,1,2,6,2,3] => [{2},{3,5},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,6,2,5,1] => [1,5,2,6,2,3] => [{1},{3,5},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[3,2,6,5,1,2] => [2,1,5,6,2,3] => [{2},{1,5},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[3,2,6,5,2,1] => [1,2,5,6,2,3] => [{1},{2,5},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[3,5,1,2,2,6] => [6,2,2,1,5,3] => [{4},{2,3},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[3,5,1,2,6,2] => [2,6,2,1,5,3] => [{4},{1,3},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[3,5,1,6,2,2] => [2,2,6,1,5,3] => [{4},{1,2},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[3,5,2,1,2,6] => [6,2,1,2,5,3] => [{3},{2,4},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[3,5,2,1,6,2] => [2,6,1,2,5,3] => [{3},{1,4},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,2,1,6] => [6,1,2,2,5,3] => [{2},{3,4},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[3,5,2,2,6,1] => [1,6,2,2,5,3] => [{1},{3,4},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[3,5,2,6,1,2] => [2,1,6,2,5,3] => [{2},{1,4},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[3,5,2,6,2,1] => [1,2,6,2,5,3] => [{1},{2,4},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[3,5,6,1,2,2] => [2,2,1,6,5,3] => [{3},{1,2},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[3,5,6,2,1,2] => [2,1,2,6,5,3] => [{2},{1,3},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[3,5,6,2,2,1] => [1,2,2,6,5,3] => [{1},{2,3},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[3,6,1,2,2,5] => [5,2,2,1,6,3] => [{4},{2,3},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,1,2,5,2] => [2,5,2,1,6,3] => [{4},{1,3},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,1,5,2,2] => [2,2,5,1,6,3] => [{4},{1,2},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,2,1,2,5] => [5,2,1,2,6,3] => [{3},{2,4},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,2,1,5,2] => [2,5,1,2,6,3] => [{3},{1,4},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,2,1,5] => [5,1,2,2,6,3] => [{2},{3,4},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,2,2,5,1] => [1,5,2,2,6,3] => [{1},{3,4},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,2,5,1,2] => [2,1,5,2,6,3] => [{2},{1,4},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,2,5,2,1] => [1,2,5,2,6,3] => [{1},{2,4},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,5,1,2,2] => [2,2,1,5,6,3] => [{3},{1,2},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,5,2,1,2] => [2,1,2,5,6,3] => [{2},{1,3},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,5,2,2,1] => [1,2,2,5,6,3] => [{1},{2,3},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[5,1,2,2,3,6] => [6,3,2,2,1,5] => [{5},{3,4},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,2,6,3] => [3,6,2,2,1,5] => [{5},{3,4},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,3,2,6] => [6,2,3,2,1,5] => [{5},{2,4},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,3,6,2] => [2,6,3,2,1,5] => [{5},{1,4},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,1,2,6,2,3] => [3,2,6,2,1,5] => [{5},{2,4},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,6,3,2] => [2,3,6,2,1,5] => [{5},{1,4},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,2,2,6] => [6,2,2,3,1,5] => [{5},{2,3},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,1,3,2,6,2] => [2,6,2,3,1,5] => [{5},{1,3},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,1,3,6,2,2] => [2,2,6,3,1,5] => [{5},{1,2},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,1,6,2,2,3] => [3,2,2,6,1,5] => [{5},{2,3},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,1,6,2,3,2] => [2,3,2,6,1,5] => [{5},{1,3},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,1,6,3,2,2] => [2,2,3,6,1,5] => [{5},{1,2},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,2,1,2,3,6] => [6,3,2,1,2,5] => [{4},{3,5},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,2,6,3] => [3,6,2,1,2,5] => [{4},{3,5},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,3,2,6] => [6,2,3,1,2,5] => [{4},{2,5},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,3,6,2] => [2,6,3,1,2,5] => [{4},{1,5},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,6,2,3] => [3,2,6,1,2,5] => [{4},{2,5},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,6,3,2] => [2,3,6,1,2,5] => [{4},{1,5},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,2,2,1,3,6] => [6,3,1,2,2,5] => [{3},{4,5},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,1,6,3] => [3,6,1,2,2,5] => [{3},{4,5},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,3,1,6] => [6,1,3,2,2,5] => [{2},{4,5},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,3,6,1] => [1,6,3,2,2,5] => [{1},{4,5},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,6,1,3] => [3,1,6,2,2,5] => [{2},{4,5},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,6,3,1] => [1,3,6,2,2,5] => [{1},{4,5},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,2,3,1,2,6] => [6,2,1,3,2,5] => [{3},{2,5},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,2,3,1,6,2] => [2,6,1,3,2,5] => [{3},{1,5},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,2,3,2,1,6] => [6,1,2,3,2,5] => [{2},{3,5},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,2,3,2,6,1] => [1,6,2,3,2,5] => [{1},{3,5},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,2,3,6,1,2] => [2,1,6,3,2,5] => [{2},{1,5},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,2,3,6,2,1] => [1,2,6,3,2,5] => [{1},{2,5},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,2,6,1,2,3] => [3,2,1,6,2,5] => [{3},{2,5},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,2,6,1,3,2] => [2,3,1,6,2,5] => [{3},{1,5},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,6,2,1,3] => [3,1,2,6,2,5] => [{2},{3,5},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,2,6,2,3,1] => [1,3,2,6,2,5] => [{1},{3,5},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,2,6,3,1,2] => [2,1,3,6,2,5] => [{2},{1,5},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,6,3,2,1] => [1,2,3,6,2,5] => [{1},{2,5},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,3,1,2,2,6] => [6,2,2,1,3,5] => [{4},{2,3},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,3,1,2,6,2] => [2,6,2,1,3,5] => [{4},{1,3},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,3,1,6,2,2] => [2,2,6,1,3,5] => [{4},{1,2},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,3,2,1,2,6] => [6,2,1,2,3,5] => [{3},{2,4},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,3,2,1,6,2] => [2,6,1,2,3,5] => [{3},{1,4},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,2,1,6] => [6,1,2,2,3,5] => [{2},{3,4},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,3,2,2,6,1] => [1,6,2,2,3,5] => [{1},{3,4},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,3,2,6,1,2] => [2,1,6,2,3,5] => [{2},{1,4},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,3,2,6,2,1] => [1,2,6,2,3,5] => [{1},{2,4},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,3,6,1,2,2] => [2,2,1,6,3,5] => [{3},{1,2},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,3,6,2,1,2] => [2,1,2,6,3,5] => [{2},{1,3},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,3,6,2,2,1] => [1,2,2,6,3,5] => [{1},{2,3},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,6,1,2,2,3] => [3,2,2,1,6,5] => [{4},{2,3},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,1,2,3,2] => [2,3,2,1,6,5] => [{4},{1,3},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,1,3,2,2] => [2,2,3,1,6,5] => [{4},{1,2},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,2,1,2,3] => [3,2,1,2,6,5] => [{3},{2,4},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,2,1,3,2] => [2,3,1,2,6,5] => [{3},{1,4},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,2,1,3] => [3,1,2,2,6,5] => [{2},{3,4},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,2,2,3,1] => [1,3,2,2,6,5] => [{1},{3,4},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,2,3,1,2] => [2,1,3,2,6,5] => [{2},{1,4},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,3,2,1] => [1,2,3,2,6,5] => [{1},{2,4},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,3,1,2,2] => [2,2,1,3,6,5] => [{3},{1,2},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,3,2,1,2] => [2,1,2,3,6,5] => [{2},{1,3},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,3,2,2,1] => [1,2,2,3,6,5] => [{1},{2,3},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[6,1,2,2,3,5] => [5,3,2,2,1,6] => [{5},{3,4},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,2,5,3] => [3,5,2,2,1,6] => [{5},{3,4},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,3,2,5] => [5,2,3,2,1,6] => [{5},{2,4},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,3,5,2] => [2,5,3,2,1,6] => [{5},{1,4},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,2,5,2,3] => [3,2,5,2,1,6] => [{5},{2,4},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,5,3,2] => [2,3,5,2,1,6] => [{5},{1,4},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,2,2,5] => [5,2,2,3,1,6] => [{5},{2,3},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,3,2,5,2] => [2,5,2,3,1,6] => [{5},{1,3},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,3,5,2,2] => [2,2,5,3,1,6] => [{5},{1,2},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,5,2,2,3] => [3,2,2,5,1,6] => [{5},{2,3},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,5,2,3,2] => [2,3,2,5,1,6] => [{5},{1,3},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,5,3,2,2] => [2,2,3,5,1,6] => [{5},{1,2},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,1,2,3,5] => [5,3,2,1,2,6] => [{4},{3,5},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,2,5,3] => [3,5,2,1,2,6] => [{4},{3,5},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,3,2,5] => [5,2,3,1,2,6] => [{4},{2,5},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,3,5,2] => [2,5,3,1,2,6] => [{4},{1,5},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,5,2,3] => [3,2,5,1,2,6] => [{4},{2,5},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,5,3,2] => [2,3,5,1,2,6] => [{4},{1,5},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,2,1,3,5] => [5,3,1,2,2,6] => [{3},{4,5},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,1,5,3] => [3,5,1,2,2,6] => [{3},{4,5},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,3,1,5] => [5,1,3,2,2,6] => [{2},{4,5},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,3,5,1] => [1,5,3,2,2,6] => [{1},{4,5},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,5,1,3] => [3,1,5,2,2,6] => [{2},{4,5},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,5,3,1] => [1,3,5,2,2,6] => [{1},{4,5},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,3,1,2,5] => [5,2,1,3,2,6] => [{3},{2,5},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,3,1,5,2] => [2,5,1,3,2,6] => [{3},{1,5},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,3,2,1,5] => [5,1,2,3,2,6] => [{2},{3,5},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,3,2,5,1] => [1,5,2,3,2,6] => [{1},{3,5},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,3,5,1,2] => [2,1,5,3,2,6] => [{2},{1,5},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,3,5,2,1] => [1,2,5,3,2,6] => [{1},{2,5},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,5,1,2,3] => [3,2,1,5,2,6] => [{3},{2,5},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,5,1,3,2] => [2,3,1,5,2,6] => [{3},{1,5},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,5,2,1,3] => [3,1,2,5,2,6] => [{2},{3,5},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,5,2,3,1] => [1,3,2,5,2,6] => [{1},{3,5},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,5,3,1,2] => [2,1,3,5,2,6] => [{2},{1,5},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,5,3,2,1] => [1,2,3,5,2,6] => [{1},{2,5},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,1,2,2,5] => [5,2,2,1,3,6] => [{4},{2,3},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,1,2,5,2] => [2,5,2,1,3,6] => [{4},{1,3},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,1,5,2,2] => [2,2,5,1,3,6] => [{4},{1,2},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,2,1,2,5] => [5,2,1,2,3,6] => [{3},{2,4},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,2,1,5,2] => [2,5,1,2,3,6] => [{3},{1,4},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,2,1,5] => [5,1,2,2,3,6] => [{2},{3,4},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,2,2,5,1] => [1,5,2,2,3,6] => [{1},{3,4},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,2,5,1,2] => [2,1,5,2,3,6] => [{2},{1,4},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,2,5,2,1] => [1,2,5,2,3,6] => [{1},{2,4},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,5,1,2,2] => [2,2,1,5,3,6] => [{3},{1,2},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,5,2,1,2] => [2,1,2,5,3,6] => [{2},{1,3},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,5,2,2,1] => [1,2,2,5,3,6] => [{1},{2,3},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,1,2,2,3] => [3,2,2,1,5,6] => [{4},{2,3},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,1,2,3,2] => [2,3,2,1,5,6] => [{4},{1,3},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,1,3,2,2] => [2,2,3,1,5,6] => [{4},{1,2},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,2,1,2,3] => [3,2,1,2,5,6] => [{3},{2,4},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,2,1,3,2] => [2,3,1,2,5,6] => [{3},{1,4},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,2,1,3] => [3,1,2,2,5,6] => [{2},{3,4},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,2,2,3,1] => [1,3,2,2,5,6] => [{1},{3,4},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,2,3,1,2] => [2,1,3,2,5,6] => [{2},{1,4},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,3,2,1] => [1,2,3,2,5,6] => [{1},{2,4},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,3,1,2,2] => [2,2,1,3,5,6] => [{3},{1,2},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,3,2,1,2] => [2,1,2,3,5,6] => [{2},{1,3},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,3,2,2,1] => [1,2,2,3,5,6] => [{1},{2,3},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[1,2,2,4,4,4] => [4,4,4,2,2,1] => [{6},{4,5},{1,2,3}] => {{1,2,3},{4,5},{6}}
[1,2,4,2,4,4] => [4,4,2,4,2,1] => [{6},{3,5},{1,2,4}] => {{1,2,4},{3,5},{6}}
[1,2,4,4,2,4] => [4,2,4,4,2,1] => [{6},{2,5},{1,3,4}] => {{1,3,4},{2,5},{6}}
[1,2,4,4,4,2] => [2,4,4,4,2,1] => [{6},{1,5},{2,3,4}] => {{1,5},{2,3,4},{6}}
[1,4,2,2,4,4] => [4,4,2,2,4,1] => [{6},{3,4},{1,2,5}] => {{1,2,5},{3,4},{6}}
[1,4,2,4,2,4] => [4,2,4,2,4,1] => [{6},{2,4},{1,3,5}] => {{1,3,5},{2,4},{6}}
[1,4,2,4,4,2] => [2,4,4,2,4,1] => [{6},{1,4},{2,3,5}] => {{1,4},{2,3,5},{6}}
[1,4,4,2,2,4] => [4,2,2,4,4,1] => [{6},{2,3},{1,4,5}] => {{1,4,5},{2,3},{6}}
[1,4,4,2,4,2] => [2,4,2,4,4,1] => [{6},{1,3},{2,4,5}] => {{1,3},{2,4,5},{6}}
[1,4,4,4,2,2] => [2,2,4,4,4,1] => [{6},{1,2},{3,4,5}] => {{1,2},{3,4,5},{6}}
[2,1,2,4,4,4] => [4,4,4,2,1,2] => [{5},{4,6},{1,2,3}] => {{1,2,3},{4,6},{5}}
[2,1,4,2,4,4] => [4,4,2,4,1,2] => [{5},{3,6},{1,2,4}] => {{1,2,4},{3,6},{5}}
[2,1,4,4,2,4] => [4,2,4,4,1,2] => [{5},{2,6},{1,3,4}] => {{1,3,4},{2,6},{5}}
[2,1,4,4,4,2] => [2,4,4,4,1,2] => [{5},{1,6},{2,3,4}] => {{1,6},{2,3,4},{5}}
[2,2,1,4,4,4] => [4,4,4,1,2,2] => [{4},{5,6},{1,2,3}] => {{1,2,3},{4},{5,6}}
[2,2,4,1,4,4] => [4,4,1,4,2,2] => [{3},{5,6},{1,2,4}] => {{1,2,4},{3},{5,6}}
[2,2,4,4,1,4] => [4,1,4,4,2,2] => [{2},{5,6},{1,3,4}] => {{1,3,4},{2},{5,6}}
[2,2,4,4,4,1] => [1,4,4,4,2,2] => [{1},{5,6},{2,3,4}] => {{1},{2,3,4},{5,6}}
[2,4,1,2,4,4] => [4,4,2,1,4,2] => [{4},{3,6},{1,2,5}] => {{1,2,5},{3,6},{4}}
[2,4,1,4,2,4] => [4,2,4,1,4,2] => [{4},{2,6},{1,3,5}] => {{1,3,5},{2,6},{4}}
[2,4,1,4,4,2] => [2,4,4,1,4,2] => [{4},{1,6},{2,3,5}] => {{1,6},{2,3,5},{4}}
[2,4,2,1,4,4] => [4,4,1,2,4,2] => [{3},{4,6},{1,2,5}] => {{1,2,5},{3},{4,6}}
[2,4,2,4,1,4] => [4,1,4,2,4,2] => [{2},{4,6},{1,3,5}] => {{1,3,5},{2},{4,6}}
[2,4,2,4,4,1] => [1,4,4,2,4,2] => [{1},{4,6},{2,3,5}] => {{1},{2,3,5},{4,6}}
[2,4,4,1,2,4] => [4,2,1,4,4,2] => [{3},{2,6},{1,4,5}] => {{1,4,5},{2,6},{3}}
[2,4,4,1,4,2] => [2,4,1,4,4,2] => [{3},{1,6},{2,4,5}] => {{1,6},{2,4,5},{3}}
[2,4,4,2,1,4] => [4,1,2,4,4,2] => [{2},{3,6},{1,4,5}] => {{1,4,5},{2},{3,6}}
[2,4,4,2,4,1] => [1,4,2,4,4,2] => [{1},{3,6},{2,4,5}] => {{1},{2,4,5},{3,6}}
[2,4,4,4,1,2] => [2,1,4,4,4,2] => [{2},{1,6},{3,4,5}] => {{1,6},{2},{3,4,5}}
[2,4,4,4,2,1] => [1,2,4,4,4,2] => [{1},{2,6},{3,4,5}] => {{1},{2,6},{3,4,5}}
[4,1,2,2,4,4] => [4,4,2,2,1,4] => [{5},{3,4},{1,2,6}] => {{1,2,6},{3,4},{5}}
[4,1,2,4,2,4] => [4,2,4,2,1,4] => [{5},{2,4},{1,3,6}] => {{1,3,6},{2,4},{5}}
[4,1,2,4,4,2] => [2,4,4,2,1,4] => [{5},{1,4},{2,3,6}] => {{1,4},{2,3,6},{5}}
[4,1,4,2,2,4] => [4,2,2,4,1,4] => [{5},{2,3},{1,4,6}] => {{1,4,6},{2,3},{5}}
[4,1,4,2,4,2] => [2,4,2,4,1,4] => [{5},{1,3},{2,4,6}] => {{1,3},{2,4,6},{5}}
[4,1,4,4,2,2] => [2,2,4,4,1,4] => [{5},{1,2},{3,4,6}] => {{1,2},{3,4,6},{5}}
[4,2,1,2,4,4] => [4,4,2,1,2,4] => [{4},{3,5},{1,2,6}] => {{1,2,6},{3,5},{4}}
[4,2,1,4,2,4] => [4,2,4,1,2,4] => [{4},{2,5},{1,3,6}] => {{1,3,6},{2,5},{4}}
[4,2,1,4,4,2] => [2,4,4,1,2,4] => [{4},{1,5},{2,3,6}] => {{1,5},{2,3,6},{4}}
[4,2,2,1,4,4] => [4,4,1,2,2,4] => [{3},{4,5},{1,2,6}] => {{1,2,6},{3},{4,5}}
[4,2,2,4,1,4] => [4,1,4,2,2,4] => [{2},{4,5},{1,3,6}] => {{1,3,6},{2},{4,5}}
[4,2,2,4,4,1] => [1,4,4,2,2,4] => [{1},{4,5},{2,3,6}] => {{1},{2,3,6},{4,5}}
[4,2,4,1,2,4] => [4,2,1,4,2,4] => [{3},{2,5},{1,4,6}] => {{1,4,6},{2,5},{3}}
[4,2,4,1,4,2] => [2,4,1,4,2,4] => [{3},{1,5},{2,4,6}] => {{1,5},{2,4,6},{3}}
[4,2,4,2,1,4] => [4,1,2,4,2,4] => [{2},{3,5},{1,4,6}] => {{1,4,6},{2},{3,5}}
[4,2,4,2,4,1] => [1,4,2,4,2,4] => [{1},{3,5},{2,4,6}] => {{1},{2,4,6},{3,5}}
[4,2,4,4,1,2] => [2,1,4,4,2,4] => [{2},{1,5},{3,4,6}] => {{1,5},{2},{3,4,6}}
[4,2,4,4,2,1] => [1,2,4,4,2,4] => [{1},{2,5},{3,4,6}] => {{1},{2,5},{3,4,6}}
[4,4,1,2,2,4] => [4,2,2,1,4,4] => [{4},{2,3},{1,5,6}] => {{1,5,6},{2,3},{4}}
[4,4,1,2,4,2] => [2,4,2,1,4,4] => [{4},{1,3},{2,5,6}] => {{1,3},{2,5,6},{4}}
[4,4,1,4,2,2] => [2,2,4,1,4,4] => [{4},{1,2},{3,5,6}] => {{1,2},{3,5,6},{4}}
[4,4,2,1,2,4] => [4,2,1,2,4,4] => [{3},{2,4},{1,5,6}] => {{1,5,6},{2,4},{3}}
[4,4,2,1,4,2] => [2,4,1,2,4,4] => [{3},{1,4},{2,5,6}] => {{1,4},{2,5,6},{3}}
[4,4,2,2,1,4] => [4,1,2,2,4,4] => [{2},{3,4},{1,5,6}] => {{1,5,6},{2},{3,4}}
[4,4,2,2,4,1] => [1,4,2,2,4,4] => [{1},{3,4},{2,5,6}] => {{1},{2,5,6},{3,4}}
[4,4,2,4,1,2] => [2,1,4,2,4,4] => [{2},{1,4},{3,5,6}] => {{1,4},{2},{3,5,6}}
[4,4,2,4,2,1] => [1,2,4,2,4,4] => [{1},{2,4},{3,5,6}] => {{1},{2,4},{3,5,6}}
[4,4,4,1,2,2] => [2,2,1,4,4,4] => [{3},{1,2},{4,5,6}] => {{1,2},{3},{4,5,6}}
[4,4,4,2,1,2] => [2,1,2,4,4,4] => [{2},{1,3},{4,5,6}] => {{1,3},{2},{4,5,6}}
[4,4,4,2,2,1] => [1,2,2,4,4,4] => [{1},{2,3},{4,5,6}] => {{1},{2,3},{4,5,6}}
[1,2,2,4,4,5] => [5,4,4,2,2,1] => [{6},{4,5},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[1,2,2,4,5,4] => [4,5,4,2,2,1] => [{6},{4,5},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[1,2,2,5,4,4] => [4,4,5,2,2,1] => [{6},{4,5},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[1,2,4,2,4,5] => [5,4,2,4,2,1] => [{6},{3,5},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[1,2,4,2,5,4] => [4,5,2,4,2,1] => [{6},{3,5},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[1,2,4,4,2,5] => [5,2,4,4,2,1] => [{6},{2,5},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[1,2,4,4,5,2] => [2,5,4,4,2,1] => [{6},{1,5},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[1,2,4,5,2,4] => [4,2,5,4,2,1] => [{6},{2,5},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[1,2,4,5,4,2] => [2,4,5,4,2,1] => [{6},{1,5},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[1,2,5,2,4,4] => [4,4,2,5,2,1] => [{6},{3,5},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[1,2,5,4,2,4] => [4,2,4,5,2,1] => [{6},{2,5},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[1,2,5,4,4,2] => [2,4,4,5,2,1] => [{6},{1,5},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[1,4,2,2,4,5] => [5,4,2,2,4,1] => [{6},{3,4},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[1,4,2,2,5,4] => [4,5,2,2,4,1] => [{6},{3,4},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[1,4,2,4,2,5] => [5,2,4,2,4,1] => [{6},{2,4},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[1,4,2,4,5,2] => [2,5,4,2,4,1] => [{6},{1,4},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[1,4,2,5,2,4] => [4,2,5,2,4,1] => [{6},{2,4},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[1,4,2,5,4,2] => [2,4,5,2,4,1] => [{6},{1,4},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[1,4,4,2,2,5] => [5,2,2,4,4,1] => [{6},{2,3},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[1,4,4,2,5,2] => [2,5,2,4,4,1] => [{6},{1,3},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[1,4,4,5,2,2] => [2,2,5,4,4,1] => [{6},{1,2},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[1,4,5,2,2,4] => [4,2,2,5,4,1] => [{6},{2,3},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[1,4,5,2,4,2] => [2,4,2,5,4,1] => [{6},{1,3},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[1,4,5,4,2,2] => [2,2,4,5,4,1] => [{6},{1,2},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[1,5,2,2,4,4] => [4,4,2,2,5,1] => [{6},{3,4},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[1,5,2,4,2,4] => [4,2,4,2,5,1] => [{6},{2,4},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[1,5,2,4,4,2] => [2,4,4,2,5,1] => [{6},{1,4},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[1,5,4,2,2,4] => [4,2,2,4,5,1] => [{6},{2,3},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[1,5,4,2,4,2] => [2,4,2,4,5,1] => [{6},{1,3},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[1,5,4,4,2,2] => [2,2,4,4,5,1] => [{6},{1,2},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[2,1,2,4,4,5] => [5,4,4,2,1,2] => [{5},{4,6},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[2,1,2,4,5,4] => [4,5,4,2,1,2] => [{5},{4,6},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[2,1,2,5,4,4] => [4,4,5,2,1,2] => [{5},{4,6},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[2,1,4,2,4,5] => [5,4,2,4,1,2] => [{5},{3,6},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[2,1,4,2,5,4] => [4,5,2,4,1,2] => [{5},{3,6},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[2,1,4,4,2,5] => [5,2,4,4,1,2] => [{5},{2,6},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[2,1,4,4,5,2] => [2,5,4,4,1,2] => [{5},{1,6},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[2,1,4,5,2,4] => [4,2,5,4,1,2] => [{5},{2,6},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[2,1,4,5,4,2] => [2,4,5,4,1,2] => [{5},{1,6},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[2,1,5,2,4,4] => [4,4,2,5,1,2] => [{5},{3,6},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[2,1,5,4,2,4] => [4,2,4,5,1,2] => [{5},{2,6},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[2,1,5,4,4,2] => [2,4,4,5,1,2] => [{5},{1,6},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[2,2,1,4,4,5] => [5,4,4,1,2,2] => [{4},{5,6},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,1,4,5,4] => [4,5,4,1,2,2] => [{4},{5,6},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,1,5,4,4] => [4,4,5,1,2,2] => [{4},{5,6},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,4,1,4,5] => [5,4,1,4,2,2] => [{3},{5,6},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,4,1,5,4] => [4,5,1,4,2,2] => [{3},{5,6},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,4,4,1,5] => [5,1,4,4,2,2] => [{2},{5,6},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,4,4,5,1] => [1,5,4,4,2,2] => [{1},{5,6},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,4,5,1,4] => [4,1,5,4,2,2] => [{2},{5,6},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,4,5,4,1] => [1,4,5,4,2,2] => [{1},{5,6},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,5,1,4,4] => [4,4,1,5,2,2] => [{3},{5,6},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[2,2,5,4,1,4] => [4,1,4,5,2,2] => [{2},{5,6},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,5,4,4,1] => [1,4,4,5,2,2] => [{1},{5,6},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[2,4,1,2,4,5] => [5,4,2,1,4,2] => [{4},{3,6},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[2,4,1,2,5,4] => [4,5,2,1,4,2] => [{4},{3,6},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[2,4,1,4,2,5] => [5,2,4,1,4,2] => [{4},{2,6},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[2,4,1,4,5,2] => [2,5,4,1,4,2] => [{4},{1,6},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[2,4,1,5,2,4] => [4,2,5,1,4,2] => [{4},{2,6},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[2,4,1,5,4,2] => [2,4,5,1,4,2] => [{4},{1,6},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[2,4,2,1,4,5] => [5,4,1,2,4,2] => [{3},{4,6},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[2,4,2,1,5,4] => [4,5,1,2,4,2] => [{3},{4,6},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[2,4,2,4,1,5] => [5,1,4,2,4,2] => [{2},{4,6},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[2,4,2,4,5,1] => [1,5,4,2,4,2] => [{1},{4,6},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[2,4,2,5,1,4] => [4,1,5,2,4,2] => [{2},{4,6},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[2,4,2,5,4,1] => [1,4,5,2,4,2] => [{1},{4,6},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[2,4,4,1,2,5] => [5,2,1,4,4,2] => [{3},{2,6},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[2,4,4,1,5,2] => [2,5,1,4,4,2] => [{3},{1,6},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[2,4,4,2,1,5] => [5,1,2,4,4,2] => [{2},{3,6},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[2,4,4,2,5,1] => [1,5,2,4,4,2] => [{1},{3,6},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[2,4,4,5,1,2] => [2,1,5,4,4,2] => [{2},{1,6},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[2,4,4,5,2,1] => [1,2,5,4,4,2] => [{1},{2,6},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[2,4,5,1,2,4] => [4,2,1,5,4,2] => [{3},{2,6},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[2,4,5,1,4,2] => [2,4,1,5,4,2] => [{3},{1,6},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[2,4,5,2,1,4] => [4,1,2,5,4,2] => [{2},{3,6},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[2,4,5,2,4,1] => [1,4,2,5,4,2] => [{1},{3,6},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[2,4,5,4,1,2] => [2,1,4,5,4,2] => [{2},{1,6},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[2,4,5,4,2,1] => [1,2,4,5,4,2] => [{1},{2,6},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[2,5,1,2,4,4] => [4,4,2,1,5,2] => [{4},{3,6},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[2,5,1,4,2,4] => [4,2,4,1,5,2] => [{4},{2,6},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[2,5,1,4,4,2] => [2,4,4,1,5,2] => [{4},{1,6},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[2,5,2,1,4,4] => [4,4,1,2,5,2] => [{3},{4,6},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[2,5,2,4,1,4] => [4,1,4,2,5,2] => [{2},{4,6},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[2,5,2,4,4,1] => [1,4,4,2,5,2] => [{1},{4,6},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[2,5,4,1,2,4] => [4,2,1,4,5,2] => [{3},{2,6},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[2,5,4,1,4,2] => [2,4,1,4,5,2] => [{3},{1,6},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[2,5,4,2,1,4] => [4,1,2,4,5,2] => [{2},{3,6},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[2,5,4,2,4,1] => [1,4,2,4,5,2] => [{1},{3,6},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[2,5,4,4,1,2] => [2,1,4,4,5,2] => [{2},{1,6},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,5,4,4,2,1] => [1,2,4,4,5,2] => [{1},{2,6},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[4,1,2,2,4,5] => [5,4,2,2,1,4] => [{5},{3,4},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,1,2,2,5,4] => [4,5,2,2,1,4] => [{5},{3,4},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,1,2,4,2,5] => [5,2,4,2,1,4] => [{5},{2,4},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,1,2,4,5,2] => [2,5,4,2,1,4] => [{5},{1,4},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,1,2,5,2,4] => [4,2,5,2,1,4] => [{5},{2,4},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,1,2,5,4,2] => [2,4,5,2,1,4] => [{5},{1,4},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,1,4,2,2,5] => [5,2,2,4,1,4] => [{5},{2,3},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,1,4,2,5,2] => [2,5,2,4,1,4] => [{5},{1,3},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,1,4,5,2,2] => [2,2,5,4,1,4] => [{5},{1,2},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,1,5,2,2,4] => [4,2,2,5,1,4] => [{5},{2,3},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,1,5,2,4,2] => [2,4,2,5,1,4] => [{5},{1,3},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,1,5,4,2,2] => [2,2,4,5,1,4] => [{5},{1,2},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,2,1,2,4,5] => [5,4,2,1,2,4] => [{4},{3,5},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,2,1,2,5,4] => [4,5,2,1,2,4] => [{4},{3,5},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,2,1,4,2,5] => [5,2,4,1,2,4] => [{4},{2,5},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,2,1,4,5,2] => [2,5,4,1,2,4] => [{4},{1,5},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,2,1,5,2,4] => [4,2,5,1,2,4] => [{4},{2,5},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,2,1,5,4,2] => [2,4,5,1,2,4] => [{4},{1,5},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,2,2,1,4,5] => [5,4,1,2,2,4] => [{3},{4,5},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,2,2,1,5,4] => [4,5,1,2,2,4] => [{3},{4,5},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,2,2,4,1,5] => [5,1,4,2,2,4] => [{2},{4,5},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,2,2,4,5,1] => [1,5,4,2,2,4] => [{1},{4,5},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,2,2,5,1,4] => [4,1,5,2,2,4] => [{2},{4,5},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,2,2,5,4,1] => [1,4,5,2,2,4] => [{1},{4,5},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,2,4,1,2,5] => [5,2,1,4,2,4] => [{3},{2,5},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,2,4,1,5,2] => [2,5,1,4,2,4] => [{3},{1,5},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,2,4,2,1,5] => [5,1,2,4,2,4] => [{2},{3,5},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,2,4,2,5,1] => [1,5,2,4,2,4] => [{1},{3,5},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,2,4,5,1,2] => [2,1,5,4,2,4] => [{2},{1,5},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,2,4,5,2,1] => [1,2,5,4,2,4] => [{1},{2,5},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,2,5,1,2,4] => [4,2,1,5,2,4] => [{3},{2,5},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,2,5,1,4,2] => [2,4,1,5,2,4] => [{3},{1,5},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,2,5,2,1,4] => [4,1,2,5,2,4] => [{2},{3,5},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,2,5,2,4,1] => [1,4,2,5,2,4] => [{1},{3,5},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,2,5,4,1,2] => [2,1,4,5,2,4] => [{2},{1,5},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,2,5,4,2,1] => [1,2,4,5,2,4] => [{1},{2,5},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,4,1,2,2,5] => [5,2,2,1,4,4] => [{4},{2,3},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,1,2,5,2] => [2,5,2,1,4,4] => [{4},{1,3},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,1,5,2,2] => [2,2,5,1,4,4] => [{4},{1,2},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,2,1,2,5] => [5,2,1,2,4,4] => [{3},{2,4},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,2,1,5,2] => [2,5,1,2,4,4] => [{3},{1,4},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,2,2,1,5] => [5,1,2,2,4,4] => [{2},{3,4},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,2,2,5,1] => [1,5,2,2,4,4] => [{1},{3,4},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,2,5,1,2] => [2,1,5,2,4,4] => [{2},{1,4},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,2,5,2,1] => [1,2,5,2,4,4] => [{1},{2,4},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,5,1,2,2] => [2,2,1,5,4,4] => [{3},{1,2},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,4,5,2,1,2] => [2,1,2,5,4,4] => [{2},{1,3},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,5,2,2,1] => [1,2,2,5,4,4] => [{1},{2,3},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,5,1,2,2,4] => [4,2,2,1,5,4] => [{4},{2,3},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,5,1,2,4,2] => [2,4,2,1,5,4] => [{4},{1,3},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,5,1,4,2,2] => [2,2,4,1,5,4] => [{4},{1,2},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,5,2,1,2,4] => [4,2,1,2,5,4] => [{3},{2,4},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,5,2,1,4,2] => [2,4,1,2,5,4] => [{3},{1,4},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,5,2,2,1,4] => [4,1,2,2,5,4] => [{2},{3,4},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,5,2,2,4,1] => [1,4,2,2,5,4] => [{1},{3,4},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,5,2,4,1,2] => [2,1,4,2,5,4] => [{2},{1,4},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,5,2,4,2,1] => [1,2,4,2,5,4] => [{1},{2,4},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,5,4,1,2,2] => [2,2,1,4,5,4] => [{3},{1,2},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[4,5,4,2,1,2] => [2,1,2,4,5,4] => [{2},{1,3},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,5,4,2,2,1] => [1,2,2,4,5,4] => [{1},{2,3},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[5,1,2,2,4,4] => [4,4,2,2,1,5] => [{5},{3,4},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[5,1,2,4,2,4] => [4,2,4,2,1,5] => [{5},{2,4},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[5,1,2,4,4,2] => [2,4,4,2,1,5] => [{5},{1,4},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[5,1,4,2,2,4] => [4,2,2,4,1,5] => [{5},{2,3},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[5,1,4,2,4,2] => [2,4,2,4,1,5] => [{5},{1,3},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[5,1,4,4,2,2] => [2,2,4,4,1,5] => [{5},{1,2},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[5,2,1,2,4,4] => [4,4,2,1,2,5] => [{4},{3,5},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[5,2,1,4,2,4] => [4,2,4,1,2,5] => [{4},{2,5},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[5,2,1,4,4,2] => [2,4,4,1,2,5] => [{4},{1,5},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[5,2,2,1,4,4] => [4,4,1,2,2,5] => [{3},{4,5},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[5,2,2,4,1,4] => [4,1,4,2,2,5] => [{2},{4,5},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[5,2,2,4,4,1] => [1,4,4,2,2,5] => [{1},{4,5},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[5,2,4,1,2,4] => [4,2,1,4,2,5] => [{3},{2,5},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[5,2,4,1,4,2] => [2,4,1,4,2,5] => [{3},{1,5},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[5,2,4,2,1,4] => [4,1,2,4,2,5] => [{2},{3,5},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[5,2,4,2,4,1] => [1,4,2,4,2,5] => [{1},{3,5},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[5,2,4,4,1,2] => [2,1,4,4,2,5] => [{2},{1,5},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[5,2,4,4,2,1] => [1,2,4,4,2,5] => [{1},{2,5},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[5,4,1,2,2,4] => [4,2,2,1,4,5] => [{4},{2,3},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[5,4,1,2,4,2] => [2,4,2,1,4,5] => [{4},{1,3},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[5,4,1,4,2,2] => [2,2,4,1,4,5] => [{4},{1,2},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[5,4,2,1,2,4] => [4,2,1,2,4,5] => [{3},{2,4},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[5,4,2,1,4,2] => [2,4,1,2,4,5] => [{3},{1,4},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[5,4,2,2,1,4] => [4,1,2,2,4,5] => [{2},{3,4},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[5,4,2,2,4,1] => [1,4,2,2,4,5] => [{1},{3,4},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[5,4,2,4,1,2] => [2,1,4,2,4,5] => [{2},{1,4},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[5,4,2,4,2,1] => [1,2,4,2,4,5] => [{1},{2,4},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[5,4,4,1,2,2] => [2,2,1,4,4,5] => [{3},{1,2},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[5,4,4,2,1,2] => [2,1,2,4,4,5] => [{2},{1,3},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[5,4,4,2,2,1] => [1,2,2,4,4,5] => [{1},{2,3},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[1,2,2,4,4,6] => [6,4,4,2,2,1] => [{6},{4,5},{2,3},{1}] => {{1},{2,3},{4,5},{6}}
[1,2,2,4,6,4] => [4,6,4,2,2,1] => [{6},{4,5},{1,3},{2}] => {{1,3},{2},{4,5},{6}}
[1,2,2,6,4,4] => [4,4,6,2,2,1] => [{6},{4,5},{1,2},{3}] => {{1,2},{3},{4,5},{6}}
[1,2,4,2,4,6] => [6,4,2,4,2,1] => [{6},{3,5},{2,4},{1}] => {{1},{2,4},{3,5},{6}}
[1,2,4,2,6,4] => [4,6,2,4,2,1] => [{6},{3,5},{1,4},{2}] => {{1,4},{2},{3,5},{6}}
[1,2,4,4,2,6] => [6,2,4,4,2,1] => [{6},{2,5},{3,4},{1}] => {{1},{2,5},{3,4},{6}}
[1,2,4,4,6,2] => [2,6,4,4,2,1] => [{6},{1,5},{3,4},{2}] => {{1,5},{2},{3,4},{6}}
[1,2,4,6,2,4] => [4,2,6,4,2,1] => [{6},{2,5},{1,4},{3}] => {{1,4},{2,5},{3},{6}}
[1,2,4,6,4,2] => [2,4,6,4,2,1] => [{6},{1,5},{2,4},{3}] => {{1,5},{2,4},{3},{6}}
[1,2,6,2,4,4] => [4,4,2,6,2,1] => [{6},{3,5},{1,2},{4}] => {{1,2},{3,5},{4},{6}}
[1,2,6,4,2,4] => [4,2,4,6,2,1] => [{6},{2,5},{1,3},{4}] => {{1,3},{2,5},{4},{6}}
[1,2,6,4,4,2] => [2,4,4,6,2,1] => [{6},{1,5},{2,3},{4}] => {{1,5},{2,3},{4},{6}}
[1,4,2,2,4,6] => [6,4,2,2,4,1] => [{6},{3,4},{2,5},{1}] => {{1},{2,5},{3,4},{6}}
[1,4,2,2,6,4] => [4,6,2,2,4,1] => [{6},{3,4},{1,5},{2}] => {{1,5},{2},{3,4},{6}}
[1,4,2,4,2,6] => [6,2,4,2,4,1] => [{6},{2,4},{3,5},{1}] => {{1},{2,4},{3,5},{6}}
[1,4,2,4,6,2] => [2,6,4,2,4,1] => [{6},{1,4},{3,5},{2}] => {{1,4},{2},{3,5},{6}}
[1,4,2,6,2,4] => [4,2,6,2,4,1] => [{6},{2,4},{1,5},{3}] => {{1,5},{2,4},{3},{6}}
[1,4,2,6,4,2] => [2,4,6,2,4,1] => [{6},{1,4},{2,5},{3}] => {{1,4},{2,5},{3},{6}}
[1,4,4,2,2,6] => [6,2,2,4,4,1] => [{6},{2,3},{4,5},{1}] => {{1},{2,3},{4,5},{6}}
[1,4,4,2,6,2] => [2,6,2,4,4,1] => [{6},{1,3},{4,5},{2}] => {{1,3},{2},{4,5},{6}}
[1,4,4,6,2,2] => [2,2,6,4,4,1] => [{6},{1,2},{4,5},{3}] => {{1,2},{3},{4,5},{6}}
[1,4,6,2,2,4] => [4,2,2,6,4,1] => [{6},{2,3},{1,5},{4}] => {{1,5},{2,3},{4},{6}}
[1,4,6,2,4,2] => [2,4,2,6,4,1] => [{6},{1,3},{2,5},{4}] => {{1,3},{2,5},{4},{6}}
[1,4,6,4,2,2] => [2,2,4,6,4,1] => [{6},{1,2},{3,5},{4}] => {{1,2},{3,5},{4},{6}}
[1,6,2,2,4,4] => [4,4,2,2,6,1] => [{6},{3,4},{1,2},{5}] => {{1,2},{3,4},{5},{6}}
[1,6,2,4,2,4] => [4,2,4,2,6,1] => [{6},{2,4},{1,3},{5}] => {{1,3},{2,4},{5},{6}}
[1,6,2,4,4,2] => [2,4,4,2,6,1] => [{6},{1,4},{2,3},{5}] => {{1,4},{2,3},{5},{6}}
[1,6,4,2,2,4] => [4,2,2,4,6,1] => [{6},{2,3},{1,4},{5}] => {{1,4},{2,3},{5},{6}}
[1,6,4,2,4,2] => [2,4,2,4,6,1] => [{6},{1,3},{2,4},{5}] => {{1,3},{2,4},{5},{6}}
[1,6,4,4,2,2] => [2,2,4,4,6,1] => [{6},{1,2},{3,4},{5}] => {{1,2},{3,4},{5},{6}}
[2,1,2,4,4,6] => [6,4,4,2,1,2] => [{5},{4,6},{2,3},{1}] => {{1},{2,3},{4,6},{5}}
[2,1,2,4,6,4] => [4,6,4,2,1,2] => [{5},{4,6},{1,3},{2}] => {{1,3},{2},{4,6},{5}}
[2,1,2,6,4,4] => [4,4,6,2,1,2] => [{5},{4,6},{1,2},{3}] => {{1,2},{3},{4,6},{5}}
[2,1,4,2,4,6] => [6,4,2,4,1,2] => [{5},{3,6},{2,4},{1}] => {{1},{2,4},{3,6},{5}}
[2,1,4,2,6,4] => [4,6,2,4,1,2] => [{5},{3,6},{1,4},{2}] => {{1,4},{2},{3,6},{5}}
[2,1,4,4,2,6] => [6,2,4,4,1,2] => [{5},{2,6},{3,4},{1}] => {{1},{2,6},{3,4},{5}}
[2,1,4,4,6,2] => [2,6,4,4,1,2] => [{5},{1,6},{3,4},{2}] => {{1,6},{2},{3,4},{5}}
[2,1,4,6,2,4] => [4,2,6,4,1,2] => [{5},{2,6},{1,4},{3}] => {{1,4},{2,6},{3},{5}}
[2,1,4,6,4,2] => [2,4,6,4,1,2] => [{5},{1,6},{2,4},{3}] => {{1,6},{2,4},{3},{5}}
[2,1,6,2,4,4] => [4,4,2,6,1,2] => [{5},{3,6},{1,2},{4}] => {{1,2},{3,6},{4},{5}}
[2,1,6,4,2,4] => [4,2,4,6,1,2] => [{5},{2,6},{1,3},{4}] => {{1,3},{2,6},{4},{5}}
[2,1,6,4,4,2] => [2,4,4,6,1,2] => [{5},{1,6},{2,3},{4}] => {{1,6},{2,3},{4},{5}}
[2,2,1,4,4,6] => [6,4,4,1,2,2] => [{4},{5,6},{2,3},{1}] => {{1},{2,3},{4},{5,6}}
[2,2,1,4,6,4] => [4,6,4,1,2,2] => [{4},{5,6},{1,3},{2}] => {{1,3},{2},{4},{5,6}}
[2,2,1,6,4,4] => [4,4,6,1,2,2] => [{4},{5,6},{1,2},{3}] => {{1,2},{3},{4},{5,6}}
[2,2,4,1,4,6] => [6,4,1,4,2,2] => [{3},{5,6},{2,4},{1}] => {{1},{2,4},{3},{5,6}}
[2,2,4,1,6,4] => [4,6,1,4,2,2] => [{3},{5,6},{1,4},{2}] => {{1,4},{2},{3},{5,6}}
[2,2,4,4,1,6] => [6,1,4,4,2,2] => [{2},{5,6},{3,4},{1}] => {{1},{2},{3,4},{5,6}}
[2,2,4,4,6,1] => [1,6,4,4,2,2] => [{1},{5,6},{3,4},{2}] => {{1},{2},{3,4},{5,6}}
[2,2,4,6,1,4] => [4,1,6,4,2,2] => [{2},{5,6},{1,4},{3}] => {{1,4},{2},{3},{5,6}}
[2,2,4,6,4,1] => [1,4,6,4,2,2] => [{1},{5,6},{2,4},{3}] => {{1},{2,4},{3},{5,6}}
[2,2,6,1,4,4] => [4,4,1,6,2,2] => [{3},{5,6},{1,2},{4}] => {{1,2},{3},{4},{5,6}}
[2,2,6,4,1,4] => [4,1,4,6,2,2] => [{2},{5,6},{1,3},{4}] => {{1,3},{2},{4},{5,6}}
[2,2,6,4,4,1] => [1,4,4,6,2,2] => [{1},{5,6},{2,3},{4}] => {{1},{2,3},{4},{5,6}}
[2,4,1,2,4,6] => [6,4,2,1,4,2] => [{4},{3,6},{2,5},{1}] => {{1},{2,5},{3,6},{4}}
[2,4,1,2,6,4] => [4,6,2,1,4,2] => [{4},{3,6},{1,5},{2}] => {{1,5},{2},{3,6},{4}}
[2,4,1,4,2,6] => [6,2,4,1,4,2] => [{4},{2,6},{3,5},{1}] => {{1},{2,6},{3,5},{4}}
[2,4,1,4,6,2] => [2,6,4,1,4,2] => [{4},{1,6},{3,5},{2}] => {{1,6},{2},{3,5},{4}}
[2,4,1,6,2,4] => [4,2,6,1,4,2] => [{4},{2,6},{1,5},{3}] => {{1,5},{2,6},{3},{4}}
[2,4,1,6,4,2] => [2,4,6,1,4,2] => [{4},{1,6},{2,5},{3}] => {{1,6},{2,5},{3},{4}}
[2,4,2,1,4,6] => [6,4,1,2,4,2] => [{3},{4,6},{2,5},{1}] => {{1},{2,5},{3},{4,6}}
[2,4,2,1,6,4] => [4,6,1,2,4,2] => [{3},{4,6},{1,5},{2}] => {{1,5},{2},{3},{4,6}}
[2,4,2,4,1,6] => [6,1,4,2,4,2] => [{2},{4,6},{3,5},{1}] => {{1},{2},{3,5},{4,6}}
[2,4,2,4,6,1] => [1,6,4,2,4,2] => [{1},{4,6},{3,5},{2}] => {{1},{2},{3,5},{4,6}}
[2,4,2,6,1,4] => [4,1,6,2,4,2] => [{2},{4,6},{1,5},{3}] => {{1,5},{2},{3},{4,6}}
[2,4,2,6,4,1] => [1,4,6,2,4,2] => [{1},{4,6},{2,5},{3}] => {{1},{2,5},{3},{4,6}}
[2,4,4,1,2,6] => [6,2,1,4,4,2] => [{3},{2,6},{4,5},{1}] => {{1},{2,6},{3},{4,5}}
[2,4,4,1,6,2] => [2,6,1,4,4,2] => [{3},{1,6},{4,5},{2}] => {{1,6},{2},{3},{4,5}}
[2,4,4,2,1,6] => [6,1,2,4,4,2] => [{2},{3,6},{4,5},{1}] => {{1},{2},{3,6},{4,5}}
[2,4,4,2,6,1] => [1,6,2,4,4,2] => [{1},{3,6},{4,5},{2}] => {{1},{2},{3,6},{4,5}}
[2,4,4,6,1,2] => [2,1,6,4,4,2] => [{2},{1,6},{4,5},{3}] => {{1,6},{2},{3},{4,5}}
[2,4,4,6,2,1] => [1,2,6,4,4,2] => [{1},{2,6},{4,5},{3}] => {{1},{2,6},{3},{4,5}}
[2,4,6,1,2,4] => [4,2,1,6,4,2] => [{3},{2,6},{1,5},{4}] => {{1,5},{2,6},{3},{4}}
[2,4,6,1,4,2] => [2,4,1,6,4,2] => [{3},{1,6},{2,5},{4}] => {{1,6},{2,5},{3},{4}}
[2,4,6,2,1,4] => [4,1,2,6,4,2] => [{2},{3,6},{1,5},{4}] => {{1,5},{2},{3,6},{4}}
[2,4,6,2,4,1] => [1,4,2,6,4,2] => [{1},{3,6},{2,5},{4}] => {{1},{2,5},{3,6},{4}}
[2,4,6,4,1,2] => [2,1,4,6,4,2] => [{2},{1,6},{3,5},{4}] => {{1,6},{2},{3,5},{4}}
[2,4,6,4,2,1] => [1,2,4,6,4,2] => [{1},{2,6},{3,5},{4}] => {{1},{2,6},{3,5},{4}}
[2,6,1,2,4,4] => [4,4,2,1,6,2] => [{4},{3,6},{1,2},{5}] => {{1,2},{3,6},{4},{5}}
[2,6,1,4,2,4] => [4,2,4,1,6,2] => [{4},{2,6},{1,3},{5}] => {{1,3},{2,6},{4},{5}}
[2,6,1,4,4,2] => [2,4,4,1,6,2] => [{4},{1,6},{2,3},{5}] => {{1,6},{2,3},{4},{5}}
[2,6,2,1,4,4] => [4,4,1,2,6,2] => [{3},{4,6},{1,2},{5}] => {{1,2},{3},{4,6},{5}}
[2,6,2,4,1,4] => [4,1,4,2,6,2] => [{2},{4,6},{1,3},{5}] => {{1,3},{2},{4,6},{5}}
[2,6,2,4,4,1] => [1,4,4,2,6,2] => [{1},{4,6},{2,3},{5}] => {{1},{2,3},{4,6},{5}}
[2,6,4,1,2,4] => [4,2,1,4,6,2] => [{3},{2,6},{1,4},{5}] => {{1,4},{2,6},{3},{5}}
[2,6,4,1,4,2] => [2,4,1,4,6,2] => [{3},{1,6},{2,4},{5}] => {{1,6},{2,4},{3},{5}}
[2,6,4,2,1,4] => [4,1,2,4,6,2] => [{2},{3,6},{1,4},{5}] => {{1,4},{2},{3,6},{5}}
[2,6,4,2,4,1] => [1,4,2,4,6,2] => [{1},{3,6},{2,4},{5}] => {{1},{2,4},{3,6},{5}}
[2,6,4,4,1,2] => [2,1,4,4,6,2] => [{2},{1,6},{3,4},{5}] => {{1,6},{2},{3,4},{5}}
[2,6,4,4,2,1] => [1,2,4,4,6,2] => [{1},{2,6},{3,4},{5}] => {{1},{2,6},{3,4},{5}}
[4,1,2,2,4,6] => [6,4,2,2,1,4] => [{5},{3,4},{2,6},{1}] => {{1},{2,6},{3,4},{5}}
[4,1,2,2,6,4] => [4,6,2,2,1,4] => [{5},{3,4},{1,6},{2}] => {{1,6},{2},{3,4},{5}}
[4,1,2,4,2,6] => [6,2,4,2,1,4] => [{5},{2,4},{3,6},{1}] => {{1},{2,4},{3,6},{5}}
[4,1,2,4,6,2] => [2,6,4,2,1,4] => [{5},{1,4},{3,6},{2}] => {{1,4},{2},{3,6},{5}}
[4,1,2,6,2,4] => [4,2,6,2,1,4] => [{5},{2,4},{1,6},{3}] => {{1,6},{2,4},{3},{5}}
[4,1,2,6,4,2] => [2,4,6,2,1,4] => [{5},{1,4},{2,6},{3}] => {{1,4},{2,6},{3},{5}}
[4,1,4,2,2,6] => [6,2,2,4,1,4] => [{5},{2,3},{4,6},{1}] => {{1},{2,3},{4,6},{5}}
[4,1,4,2,6,2] => [2,6,2,4,1,4] => [{5},{1,3},{4,6},{2}] => {{1,3},{2},{4,6},{5}}
[4,1,4,6,2,2] => [2,2,6,4,1,4] => [{5},{1,2},{4,6},{3}] => {{1,2},{3},{4,6},{5}}
[4,1,6,2,2,4] => [4,2,2,6,1,4] => [{5},{2,3},{1,6},{4}] => {{1,6},{2,3},{4},{5}}
[4,1,6,2,4,2] => [2,4,2,6,1,4] => [{5},{1,3},{2,6},{4}] => {{1,3},{2,6},{4},{5}}
[4,1,6,4,2,2] => [2,2,4,6,1,4] => [{5},{1,2},{3,6},{4}] => {{1,2},{3,6},{4},{5}}
[4,2,1,2,4,6] => [6,4,2,1,2,4] => [{4},{3,5},{2,6},{1}] => {{1},{2,6},{3,5},{4}}
[4,2,1,2,6,4] => [4,6,2,1,2,4] => [{4},{3,5},{1,6},{2}] => {{1,6},{2},{3,5},{4}}
[4,2,1,4,2,6] => [6,2,4,1,2,4] => [{4},{2,5},{3,6},{1}] => {{1},{2,5},{3,6},{4}}
[4,2,1,4,6,2] => [2,6,4,1,2,4] => [{4},{1,5},{3,6},{2}] => {{1,5},{2},{3,6},{4}}
[4,2,1,6,2,4] => [4,2,6,1,2,4] => [{4},{2,5},{1,6},{3}] => {{1,6},{2,5},{3},{4}}
[4,2,1,6,4,2] => [2,4,6,1,2,4] => [{4},{1,5},{2,6},{3}] => {{1,5},{2,6},{3},{4}}
[4,2,2,1,4,6] => [6,4,1,2,2,4] => [{3},{4,5},{2,6},{1}] => {{1},{2,6},{3},{4,5}}
[4,2,2,1,6,4] => [4,6,1,2,2,4] => [{3},{4,5},{1,6},{2}] => {{1,6},{2},{3},{4,5}}
[4,2,2,4,1,6] => [6,1,4,2,2,4] => [{2},{4,5},{3,6},{1}] => {{1},{2},{3,6},{4,5}}
[4,2,2,4,6,1] => [1,6,4,2,2,4] => [{1},{4,5},{3,6},{2}] => {{1},{2},{3,6},{4,5}}
[4,2,2,6,1,4] => [4,1,6,2,2,4] => [{2},{4,5},{1,6},{3}] => {{1,6},{2},{3},{4,5}}
[4,2,2,6,4,1] => [1,4,6,2,2,4] => [{1},{4,5},{2,6},{3}] => {{1},{2,6},{3},{4,5}}
[4,2,4,1,2,6] => [6,2,1,4,2,4] => [{3},{2,5},{4,6},{1}] => {{1},{2,5},{3},{4,6}}
[4,2,4,1,6,2] => [2,6,1,4,2,4] => [{3},{1,5},{4,6},{2}] => {{1,5},{2},{3},{4,6}}
[4,2,4,2,1,6] => [6,1,2,4,2,4] => [{2},{3,5},{4,6},{1}] => {{1},{2},{3,5},{4,6}}
[4,2,4,2,6,1] => [1,6,2,4,2,4] => [{1},{3,5},{4,6},{2}] => {{1},{2},{3,5},{4,6}}
[4,2,4,6,1,2] => [2,1,6,4,2,4] => [{2},{1,5},{4,6},{3}] => {{1,5},{2},{3},{4,6}}
[4,2,4,6,2,1] => [1,2,6,4,2,4] => [{1},{2,5},{4,6},{3}] => {{1},{2,5},{3},{4,6}}
[4,2,6,1,2,4] => [4,2,1,6,2,4] => [{3},{2,5},{1,6},{4}] => {{1,6},{2,5},{3},{4}}
[4,2,6,1,4,2] => [2,4,1,6,2,4] => [{3},{1,5},{2,6},{4}] => {{1,5},{2,6},{3},{4}}
[4,2,6,2,1,4] => [4,1,2,6,2,4] => [{2},{3,5},{1,6},{4}] => {{1,6},{2},{3,5},{4}}
[4,2,6,2,4,1] => [1,4,2,6,2,4] => [{1},{3,5},{2,6},{4}] => {{1},{2,6},{3,5},{4}}
[4,2,6,4,1,2] => [2,1,4,6,2,4] => [{2},{1,5},{3,6},{4}] => {{1,5},{2},{3,6},{4}}
[4,2,6,4,2,1] => [1,2,4,6,2,4] => [{1},{2,5},{3,6},{4}] => {{1},{2,5},{3,6},{4}}
[4,4,1,2,2,6] => [6,2,2,1,4,4] => [{4},{2,3},{5,6},{1}] => {{1},{2,3},{4},{5,6}}
[4,4,1,2,6,2] => [2,6,2,1,4,4] => [{4},{1,3},{5,6},{2}] => {{1,3},{2},{4},{5,6}}
[4,4,1,6,2,2] => [2,2,6,1,4,4] => [{4},{1,2},{5,6},{3}] => {{1,2},{3},{4},{5,6}}
[4,4,2,1,2,6] => [6,2,1,2,4,4] => [{3},{2,4},{5,6},{1}] => {{1},{2,4},{3},{5,6}}
[4,4,2,1,6,2] => [2,6,1,2,4,4] => [{3},{1,4},{5,6},{2}] => {{1,4},{2},{3},{5,6}}
[4,4,2,2,1,6] => [6,1,2,2,4,4] => [{2},{3,4},{5,6},{1}] => {{1},{2},{3,4},{5,6}}
[4,4,2,2,6,1] => [1,6,2,2,4,4] => [{1},{3,4},{5,6},{2}] => {{1},{2},{3,4},{5,6}}
[4,4,2,6,1,2] => [2,1,6,2,4,4] => [{2},{1,4},{5,6},{3}] => {{1,4},{2},{3},{5,6}}
[4,4,2,6,2,1] => [1,2,6,2,4,4] => [{1},{2,4},{5,6},{3}] => {{1},{2,4},{3},{5,6}}
[4,4,6,1,2,2] => [2,2,1,6,4,4] => [{3},{1,2},{5,6},{4}] => {{1,2},{3},{4},{5,6}}
[4,4,6,2,1,2] => [2,1,2,6,4,4] => [{2},{1,3},{5,6},{4}] => {{1,3},{2},{4},{5,6}}
[4,4,6,2,2,1] => [1,2,2,6,4,4] => [{1},{2,3},{5,6},{4}] => {{1},{2,3},{4},{5,6}}
[4,6,1,2,2,4] => [4,2,2,1,6,4] => [{4},{2,3},{1,6},{5}] => {{1,6},{2,3},{4},{5}}
[4,6,1,2,4,2] => [2,4,2,1,6,4] => [{4},{1,3},{2,6},{5}] => {{1,3},{2,6},{4},{5}}
[4,6,1,4,2,2] => [2,2,4,1,6,4] => [{4},{1,2},{3,6},{5}] => {{1,2},{3,6},{4},{5}}
[4,6,2,1,2,4] => [4,2,1,2,6,4] => [{3},{2,4},{1,6},{5}] => {{1,6},{2,4},{3},{5}}
[4,6,2,1,4,2] => [2,4,1,2,6,4] => [{3},{1,4},{2,6},{5}] => {{1,4},{2,6},{3},{5}}
[4,6,2,2,1,4] => [4,1,2,2,6,4] => [{2},{3,4},{1,6},{5}] => {{1,6},{2},{3,4},{5}}
[4,6,2,2,4,1] => [1,4,2,2,6,4] => [{1},{3,4},{2,6},{5}] => {{1},{2,6},{3,4},{5}}
[4,6,2,4,1,2] => [2,1,4,2,6,4] => [{2},{1,4},{3,6},{5}] => {{1,4},{2},{3,6},{5}}
[4,6,2,4,2,1] => [1,2,4,2,6,4] => [{1},{2,4},{3,6},{5}] => {{1},{2,4},{3,6},{5}}
[4,6,4,1,2,2] => [2,2,1,4,6,4] => [{3},{1,2},{4,6},{5}] => {{1,2},{3},{4,6},{5}}
[4,6,4,2,1,2] => [2,1,2,4,6,4] => [{2},{1,3},{4,6},{5}] => {{1,3},{2},{4,6},{5}}
[4,6,4,2,2,1] => [1,2,2,4,6,4] => [{1},{2,3},{4,6},{5}] => {{1},{2,3},{4,6},{5}}
[6,1,2,2,4,4] => [4,4,2,2,1,6] => [{5},{3,4},{1,2},{6}] => {{1,2},{3,4},{5},{6}}
[6,1,2,4,2,4] => [4,2,4,2,1,6] => [{5},{2,4},{1,3},{6}] => {{1,3},{2,4},{5},{6}}
[6,1,2,4,4,2] => [2,4,4,2,1,6] => [{5},{1,4},{2,3},{6}] => {{1,4},{2,3},{5},{6}}
[6,1,4,2,2,4] => [4,2,2,4,1,6] => [{5},{2,3},{1,4},{6}] => {{1,4},{2,3},{5},{6}}
[6,1,4,2,4,2] => [2,4,2,4,1,6] => [{5},{1,3},{2,4},{6}] => {{1,3},{2,4},{5},{6}}
[6,1,4,4,2,2] => [2,2,4,4,1,6] => [{5},{1,2},{3,4},{6}] => {{1,2},{3,4},{5},{6}}
[6,2,1,2,4,4] => [4,4,2,1,2,6] => [{4},{3,5},{1,2},{6}] => {{1,2},{3,5},{4},{6}}
[6,2,1,4,2,4] => [4,2,4,1,2,6] => [{4},{2,5},{1,3},{6}] => {{1,3},{2,5},{4},{6}}
[6,2,1,4,4,2] => [2,4,4,1,2,6] => [{4},{1,5},{2,3},{6}] => {{1,5},{2,3},{4},{6}}
[6,2,2,1,4,4] => [4,4,1,2,2,6] => [{3},{4,5},{1,2},{6}] => {{1,2},{3},{4,5},{6}}
[6,2,2,4,1,4] => [4,1,4,2,2,6] => [{2},{4,5},{1,3},{6}] => {{1,3},{2},{4,5},{6}}
[6,2,2,4,4,1] => [1,4,4,2,2,6] => [{1},{4,5},{2,3},{6}] => {{1},{2,3},{4,5},{6}}
[6,2,4,1,2,4] => [4,2,1,4,2,6] => [{3},{2,5},{1,4},{6}] => {{1,4},{2,5},{3},{6}}
[6,2,4,1,4,2] => [2,4,1,4,2,6] => [{3},{1,5},{2,4},{6}] => {{1,5},{2,4},{3},{6}}
[6,2,4,2,1,4] => [4,1,2,4,2,6] => [{2},{3,5},{1,4},{6}] => {{1,4},{2},{3,5},{6}}
[6,2,4,2,4,1] => [1,4,2,4,2,6] => [{1},{3,5},{2,4},{6}] => {{1},{2,4},{3,5},{6}}
[6,2,4,4,1,2] => [2,1,4,4,2,6] => [{2},{1,5},{3,4},{6}] => {{1,5},{2},{3,4},{6}}
[6,2,4,4,2,1] => [1,2,4,4,2,6] => [{1},{2,5},{3,4},{6}] => {{1},{2,5},{3,4},{6}}
[6,4,1,2,2,4] => [4,2,2,1,4,6] => [{4},{2,3},{1,5},{6}] => {{1,5},{2,3},{4},{6}}
[6,4,1,2,4,2] => [2,4,2,1,4,6] => [{4},{1,3},{2,5},{6}] => {{1,3},{2,5},{4},{6}}
[6,4,1,4,2,2] => [2,2,4,1,4,6] => [{4},{1,2},{3,5},{6}] => {{1,2},{3,5},{4},{6}}
[6,4,2,1,2,4] => [4,2,1,2,4,6] => [{3},{2,4},{1,5},{6}] => {{1,5},{2,4},{3},{6}}
[6,4,2,1,4,2] => [2,4,1,2,4,6] => [{3},{1,4},{2,5},{6}] => {{1,4},{2,5},{3},{6}}
[6,4,2,2,1,4] => [4,1,2,2,4,6] => [{2},{3,4},{1,5},{6}] => {{1,5},{2},{3,4},{6}}
[6,4,2,2,4,1] => [1,4,2,2,4,6] => [{1},{3,4},{2,5},{6}] => {{1},{2,5},{3,4},{6}}
[6,4,2,4,1,2] => [2,1,4,2,4,6] => [{2},{1,4},{3,5},{6}] => {{1,4},{2},{3,5},{6}}
[6,4,2,4,2,1] => [1,2,4,2,4,6] => [{1},{2,4},{3,5},{6}] => {{1},{2,4},{3,5},{6}}
[6,4,4,1,2,2] => [2,2,1,4,4,6] => [{3},{1,2},{4,5},{6}] => {{1,2},{3},{4,5},{6}}
[6,4,4,2,1,2] => [2,1,2,4,4,6] => [{2},{1,3},{4,5},{6}] => {{1,3},{2},{4,5},{6}}
[6,4,4,2,2,1] => [1,2,2,4,4,6] => [{1},{2,3},{4,5},{6}] => {{1},{2,3},{4,5},{6}}
[1,2,2,4,5,5] => [5,5,4,2,2,1] => [{6},{4,5},{3},{1,2}] => {{1,2},{3},{4,5},{6}}
[1,2,2,5,4,5] => [5,4,5,2,2,1] => [{6},{4,5},{2},{1,3}] => {{1,3},{2},{4,5},{6}}
[1,2,2,5,5,4] => [4,5,5,2,2,1] => [{6},{4,5},{1},{2,3}] => {{1},{2,3},{4,5},{6}}
[1,2,4,2,5,5] => [5,5,2,4,2,1] => [{6},{3,5},{4},{1,2}] => {{1,2},{3,5},{4},{6}}
[1,2,4,5,2,5] => [5,2,5,4,2,1] => [{6},{2,5},{4},{1,3}] => {{1,3},{2,5},{4},{6}}
[1,2,4,5,5,2] => [2,5,5,4,2,1] => [{6},{1,5},{4},{2,3}] => {{1,5},{2,3},{4},{6}}
[1,2,5,2,4,5] => [5,4,2,5,2,1] => [{6},{3,5},{2},{1,4}] => {{1,4},{2},{3,5},{6}}
[1,2,5,2,5,4] => [4,5,2,5,2,1] => [{6},{3,5},{1},{2,4}] => {{1},{2,4},{3,5},{6}}
[1,2,5,4,2,5] => [5,2,4,5,2,1] => [{6},{2,5},{3},{1,4}] => {{1,4},{2,5},{3},{6}}
[1,2,5,4,5,2] => [2,5,4,5,2,1] => [{6},{1,5},{3},{2,4}] => {{1,5},{2,4},{3},{6}}
[1,2,5,5,2,4] => [4,2,5,5,2,1] => [{6},{2,5},{1},{3,4}] => {{1},{2,5},{3,4},{6}}
[1,2,5,5,4,2] => [2,4,5,5,2,1] => [{6},{1,5},{2},{3,4}] => {{1,5},{2},{3,4},{6}}
[1,4,2,2,5,5] => [5,5,2,2,4,1] => [{6},{3,4},{5},{1,2}] => {{1,2},{3,4},{5},{6}}
[1,4,2,5,2,5] => [5,2,5,2,4,1] => [{6},{2,4},{5},{1,3}] => {{1,3},{2,4},{5},{6}}
[1,4,2,5,5,2] => [2,5,5,2,4,1] => [{6},{1,4},{5},{2,3}] => {{1,4},{2,3},{5},{6}}
[1,4,5,2,2,5] => [5,2,2,5,4,1] => [{6},{2,3},{5},{1,4}] => {{1,4},{2,3},{5},{6}}
[1,4,5,2,5,2] => [2,5,2,5,4,1] => [{6},{1,3},{5},{2,4}] => {{1,3},{2,4},{5},{6}}
[1,4,5,5,2,2] => [2,2,5,5,4,1] => [{6},{1,2},{5},{3,4}] => {{1,2},{3,4},{5},{6}}
[1,5,2,2,4,5] => [5,4,2,2,5,1] => [{6},{3,4},{2},{1,5}] => {{1,5},{2},{3,4},{6}}
[1,5,2,2,5,4] => [4,5,2,2,5,1] => [{6},{3,4},{1},{2,5}] => {{1},{2,5},{3,4},{6}}
[1,5,2,4,2,5] => [5,2,4,2,5,1] => [{6},{2,4},{3},{1,5}] => {{1,5},{2,4},{3},{6}}
[1,5,2,4,5,2] => [2,5,4,2,5,1] => [{6},{1,4},{3},{2,5}] => {{1,4},{2,5},{3},{6}}
[1,5,2,5,2,4] => [4,2,5,2,5,1] => [{6},{2,4},{1},{3,5}] => {{1},{2,4},{3,5},{6}}
[1,5,2,5,4,2] => [2,4,5,2,5,1] => [{6},{1,4},{2},{3,5}] => {{1,4},{2},{3,5},{6}}
[1,5,4,2,2,5] => [5,2,2,4,5,1] => [{6},{2,3},{4},{1,5}] => {{1,5},{2,3},{4},{6}}
[1,5,4,2,5,2] => [2,5,2,4,5,1] => [{6},{1,3},{4},{2,5}] => {{1,3},{2,5},{4},{6}}
[1,5,4,5,2,2] => [2,2,5,4,5,1] => [{6},{1,2},{4},{3,5}] => {{1,2},{3,5},{4},{6}}
[1,5,5,2,2,4] => [4,2,2,5,5,1] => [{6},{2,3},{1},{4,5}] => {{1},{2,3},{4,5},{6}}
[1,5,5,2,4,2] => [2,4,2,5,5,1] => [{6},{1,3},{2},{4,5}] => {{1,3},{2},{4,5},{6}}
[1,5,5,4,2,2] => [2,2,4,5,5,1] => [{6},{1,2},{3},{4,5}] => {{1,2},{3},{4,5},{6}}
[2,1,2,4,5,5] => [5,5,4,2,1,2] => [{5},{4,6},{3},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,1,2,5,4,5] => [5,4,5,2,1,2] => [{5},{4,6},{2},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,1,2,5,5,4] => [4,5,5,2,1,2] => [{5},{4,6},{1},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,1,4,2,5,5] => [5,5,2,4,1,2] => [{5},{3,6},{4},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,1,4,5,2,5] => [5,2,5,4,1,2] => [{5},{2,6},{4},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,1,4,5,5,2] => [2,5,5,4,1,2] => [{5},{1,6},{4},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,1,5,2,4,5] => [5,4,2,5,1,2] => [{5},{3,6},{2},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,1,5,2,5,4] => [4,5,2,5,1,2] => [{5},{3,6},{1},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,1,5,4,2,5] => [5,2,4,5,1,2] => [{5},{2,6},{3},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,1,5,4,5,2] => [2,5,4,5,1,2] => [{5},{1,6},{3},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,1,5,5,2,4] => [4,2,5,5,1,2] => [{5},{2,6},{1},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,1,5,5,4,2] => [2,4,5,5,1,2] => [{5},{1,6},{2},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,2,1,4,5,5] => [5,5,4,1,2,2] => [{4},{5,6},{3},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,1,5,4,5] => [5,4,5,1,2,2] => [{4},{5,6},{2},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,1,5,5,4] => [4,5,5,1,2,2] => [{4},{5,6},{1},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,4,1,5,5] => [5,5,1,4,2,2] => [{3},{5,6},{4},{1,2}] => {{1,2},{3},{4},{5,6}}
[2,2,4,5,1,5] => [5,1,5,4,2,2] => [{2},{5,6},{4},{1,3}] => {{1,3},{2},{4},{5,6}}
[2,2,4,5,5,1] => [1,5,5,4,2,2] => [{1},{5,6},{4},{2,3}] => {{1},{2,3},{4},{5,6}}
[2,2,5,1,4,5] => [5,4,1,5,2,2] => [{3},{5,6},{2},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,5,1,5,4] => [4,5,1,5,2,2] => [{3},{5,6},{1},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,5,4,1,5] => [5,1,4,5,2,2] => [{2},{5,6},{3},{1,4}] => {{1,4},{2},{3},{5,6}}
[2,2,5,4,5,1] => [1,5,4,5,2,2] => [{1},{5,6},{3},{2,4}] => {{1},{2,4},{3},{5,6}}
[2,2,5,5,1,4] => [4,1,5,5,2,2] => [{2},{5,6},{1},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,2,5,5,4,1] => [1,4,5,5,2,2] => [{1},{5,6},{2},{3,4}] => {{1},{2},{3,4},{5,6}}
[2,4,1,2,5,5] => [5,5,2,1,4,2] => [{4},{3,6},{5},{1,2}] => {{1,2},{3,6},{4},{5}}
[2,4,1,5,2,5] => [5,2,5,1,4,2] => [{4},{2,6},{5},{1,3}] => {{1,3},{2,6},{4},{5}}
[2,4,1,5,5,2] => [2,5,5,1,4,2] => [{4},{1,6},{5},{2,3}] => {{1,6},{2,3},{4},{5}}
[2,4,2,1,5,5] => [5,5,1,2,4,2] => [{3},{4,6},{5},{1,2}] => {{1,2},{3},{4,6},{5}}
[2,4,2,5,1,5] => [5,1,5,2,4,2] => [{2},{4,6},{5},{1,3}] => {{1,3},{2},{4,6},{5}}
[2,4,2,5,5,1] => [1,5,5,2,4,2] => [{1},{4,6},{5},{2,3}] => {{1},{2,3},{4,6},{5}}
[2,4,5,1,2,5] => [5,2,1,5,4,2] => [{3},{2,6},{5},{1,4}] => {{1,4},{2,6},{3},{5}}
[2,4,5,1,5,2] => [2,5,1,5,4,2] => [{3},{1,6},{5},{2,4}] => {{1,6},{2,4},{3},{5}}
[2,4,5,2,1,5] => [5,1,2,5,4,2] => [{2},{3,6},{5},{1,4}] => {{1,4},{2},{3,6},{5}}
[2,4,5,2,5,1] => [1,5,2,5,4,2] => [{1},{3,6},{5},{2,4}] => {{1},{2,4},{3,6},{5}}
[2,4,5,5,1,2] => [2,1,5,5,4,2] => [{2},{1,6},{5},{3,4}] => {{1,6},{2},{3,4},{5}}
[2,4,5,5,2,1] => [1,2,5,5,4,2] => [{1},{2,6},{5},{3,4}] => {{1},{2,6},{3,4},{5}}
[2,5,1,2,4,5] => [5,4,2,1,5,2] => [{4},{3,6},{2},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,5,1,2,5,4] => [4,5,2,1,5,2] => [{4},{3,6},{1},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,5,1,4,2,5] => [5,2,4,1,5,2] => [{4},{2,6},{3},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,5,1,4,5,2] => [2,5,4,1,5,2] => [{4},{1,6},{3},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,5,1,5,2,4] => [4,2,5,1,5,2] => [{4},{2,6},{1},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,5,1,5,4,2] => [2,4,5,1,5,2] => [{4},{1,6},{2},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,5,2,1,4,5] => [5,4,1,2,5,2] => [{3},{4,6},{2},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,5,2,1,5,4] => [4,5,1,2,5,2] => [{3},{4,6},{1},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,5,2,4,1,5] => [5,1,4,2,5,2] => [{2},{4,6},{3},{1,5}] => {{1,5},{2},{3},{4,6}}
[2,5,2,4,5,1] => [1,5,4,2,5,2] => [{1},{4,6},{3},{2,5}] => {{1},{2,5},{3},{4,6}}
[2,5,2,5,1,4] => [4,1,5,2,5,2] => [{2},{4,6},{1},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,5,2,5,4,1] => [1,4,5,2,5,2] => [{1},{4,6},{2},{3,5}] => {{1},{2},{3,5},{4,6}}
[2,5,4,1,2,5] => [5,2,1,4,5,2] => [{3},{2,6},{4},{1,5}] => {{1,5},{2,6},{3},{4}}
[2,5,4,1,5,2] => [2,5,1,4,5,2] => [{3},{1,6},{4},{2,5}] => {{1,6},{2,5},{3},{4}}
[2,5,4,2,1,5] => [5,1,2,4,5,2] => [{2},{3,6},{4},{1,5}] => {{1,5},{2},{3,6},{4}}
[2,5,4,2,5,1] => [1,5,2,4,5,2] => [{1},{3,6},{4},{2,5}] => {{1},{2,5},{3,6},{4}}
[2,5,4,5,1,2] => [2,1,5,4,5,2] => [{2},{1,6},{4},{3,5}] => {{1,6},{2},{3,5},{4}}
[2,5,4,5,2,1] => [1,2,5,4,5,2] => [{1},{2,6},{4},{3,5}] => {{1},{2,6},{3,5},{4}}
[2,5,5,1,2,4] => [4,2,1,5,5,2] => [{3},{2,6},{1},{4,5}] => {{1},{2,6},{3},{4,5}}
[2,5,5,1,4,2] => [2,4,1,5,5,2] => [{3},{1,6},{2},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,5,5,2,1,4] => [4,1,2,5,5,2] => [{2},{3,6},{1},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,5,5,2,4,1] => [1,4,2,5,5,2] => [{1},{3,6},{2},{4,5}] => {{1},{2},{3,6},{4,5}}
[2,5,5,4,1,2] => [2,1,4,5,5,2] => [{2},{1,6},{3},{4,5}] => {{1,6},{2},{3},{4,5}}
[2,5,5,4,2,1] => [1,2,4,5,5,2] => [{1},{2,6},{3},{4,5}] => {{1},{2,6},{3},{4,5}}
[4,1,2,2,5,5] => [5,5,2,2,1,4] => [{5},{3,4},{6},{1,2}] => {{1,2},{3,4},{5},{6}}
[4,1,2,5,2,5] => [5,2,5,2,1,4] => [{5},{2,4},{6},{1,3}] => {{1,3},{2,4},{5},{6}}
[4,1,2,5,5,2] => [2,5,5,2,1,4] => [{5},{1,4},{6},{2,3}] => {{1,4},{2,3},{5},{6}}
[4,1,5,2,2,5] => [5,2,2,5,1,4] => [{5},{2,3},{6},{1,4}] => {{1,4},{2,3},{5},{6}}
[4,1,5,2,5,2] => [2,5,2,5,1,4] => [{5},{1,3},{6},{2,4}] => {{1,3},{2,4},{5},{6}}
[4,1,5,5,2,2] => [2,2,5,5,1,4] => [{5},{1,2},{6},{3,4}] => {{1,2},{3,4},{5},{6}}
[4,2,1,2,5,5] => [5,5,2,1,2,4] => [{4},{3,5},{6},{1,2}] => {{1,2},{3,5},{4},{6}}
[4,2,1,5,2,5] => [5,2,5,1,2,4] => [{4},{2,5},{6},{1,3}] => {{1,3},{2,5},{4},{6}}
[4,2,1,5,5,2] => [2,5,5,1,2,4] => [{4},{1,5},{6},{2,3}] => {{1,5},{2,3},{4},{6}}
[4,2,2,1,5,5] => [5,5,1,2,2,4] => [{3},{4,5},{6},{1,2}] => {{1,2},{3},{4,5},{6}}
[4,2,2,5,1,5] => [5,1,5,2,2,4] => [{2},{4,5},{6},{1,3}] => {{1,3},{2},{4,5},{6}}
[4,2,2,5,5,1] => [1,5,5,2,2,4] => [{1},{4,5},{6},{2,3}] => {{1},{2,3},{4,5},{6}}
[4,2,5,1,2,5] => [5,2,1,5,2,4] => [{3},{2,5},{6},{1,4}] => {{1,4},{2,5},{3},{6}}
[4,2,5,1,5,2] => [2,5,1,5,2,4] => [{3},{1,5},{6},{2,4}] => {{1,5},{2,4},{3},{6}}
[4,2,5,2,1,5] => [5,1,2,5,2,4] => [{2},{3,5},{6},{1,4}] => {{1,4},{2},{3,5},{6}}
[4,2,5,2,5,1] => [1,5,2,5,2,4] => [{1},{3,5},{6},{2,4}] => {{1},{2,4},{3,5},{6}}
[4,2,5,5,1,2] => [2,1,5,5,2,4] => [{2},{1,5},{6},{3,4}] => {{1,5},{2},{3,4},{6}}
[4,2,5,5,2,1] => [1,2,5,5,2,4] => [{1},{2,5},{6},{3,4}] => {{1},{2,5},{3,4},{6}}
[4,5,1,2,2,5] => [5,2,2,1,5,4] => [{4},{2,3},{6},{1,5}] => {{1,5},{2,3},{4},{6}}
[4,5,1,2,5,2] => [2,5,2,1,5,4] => [{4},{1,3},{6},{2,5}] => {{1,3},{2,5},{4},{6}}
[4,5,1,5,2,2] => [2,2,5,1,5,4] => [{4},{1,2},{6},{3,5}] => {{1,2},{3,5},{4},{6}}
[4,5,2,1,2,5] => [5,2,1,2,5,4] => [{3},{2,4},{6},{1,5}] => {{1,5},{2,4},{3},{6}}
[4,5,2,1,5,2] => [2,5,1,2,5,4] => [{3},{1,4},{6},{2,5}] => {{1,4},{2,5},{3},{6}}
[4,5,2,2,1,5] => [5,1,2,2,5,4] => [{2},{3,4},{6},{1,5}] => {{1,5},{2},{3,4},{6}}
[4,5,2,2,5,1] => [1,5,2,2,5,4] => [{1},{3,4},{6},{2,5}] => {{1},{2,5},{3,4},{6}}
[4,5,2,5,1,2] => [2,1,5,2,5,4] => [{2},{1,4},{6},{3,5}] => {{1,4},{2},{3,5},{6}}
[4,5,2,5,2,1] => [1,2,5,2,5,4] => [{1},{2,4},{6},{3,5}] => {{1},{2,4},{3,5},{6}}
[4,5,5,1,2,2] => [2,2,1,5,5,4] => [{3},{1,2},{6},{4,5}] => {{1,2},{3},{4,5},{6}}
[4,5,5,2,1,2] => [2,1,2,5,5,4] => [{2},{1,3},{6},{4,5}] => {{1,3},{2},{4,5},{6}}
[4,5,5,2,2,1] => [1,2,2,5,5,4] => [{1},{2,3},{6},{4,5}] => {{1},{2,3},{4,5},{6}}
[5,1,2,2,4,5] => [5,4,2,2,1,5] => [{5},{3,4},{2},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,1,2,2,5,4] => [4,5,2,2,1,5] => [{5},{3,4},{1},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,1,2,4,2,5] => [5,2,4,2,1,5] => [{5},{2,4},{3},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,1,2,4,5,2] => [2,5,4,2,1,5] => [{5},{1,4},{3},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,1,2,5,2,4] => [4,2,5,2,1,5] => [{5},{2,4},{1},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,1,2,5,4,2] => [2,4,5,2,1,5] => [{5},{1,4},{2},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,1,4,2,2,5] => [5,2,2,4,1,5] => [{5},{2,3},{4},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,1,4,2,5,2] => [2,5,2,4,1,5] => [{5},{1,3},{4},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,1,4,5,2,2] => [2,2,5,4,1,5] => [{5},{1,2},{4},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,1,5,2,2,4] => [4,2,2,5,1,5] => [{5},{2,3},{1},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,1,5,2,4,2] => [2,4,2,5,1,5] => [{5},{1,3},{2},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,1,5,4,2,2] => [2,2,4,5,1,5] => [{5},{1,2},{3},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,2,1,2,4,5] => [5,4,2,1,2,5] => [{4},{3,5},{2},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,2,1,2,5,4] => [4,5,2,1,2,5] => [{4},{3,5},{1},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,2,1,4,2,5] => [5,2,4,1,2,5] => [{4},{2,5},{3},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,2,1,4,5,2] => [2,5,4,1,2,5] => [{4},{1,5},{3},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,2,1,5,2,4] => [4,2,5,1,2,5] => [{4},{2,5},{1},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,2,1,5,4,2] => [2,4,5,1,2,5] => [{4},{1,5},{2},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,2,2,1,4,5] => [5,4,1,2,2,5] => [{3},{4,5},{2},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,2,2,1,5,4] => [4,5,1,2,2,5] => [{3},{4,5},{1},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,2,2,4,1,5] => [5,1,4,2,2,5] => [{2},{4,5},{3},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,2,2,4,5,1] => [1,5,4,2,2,5] => [{1},{4,5},{3},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,2,2,5,1,4] => [4,1,5,2,2,5] => [{2},{4,5},{1},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,2,2,5,4,1] => [1,4,5,2,2,5] => [{1},{4,5},{2},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,2,4,1,2,5] => [5,2,1,4,2,5] => [{3},{2,5},{4},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,2,4,1,5,2] => [2,5,1,4,2,5] => [{3},{1,5},{4},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,2,4,2,1,5] => [5,1,2,4,2,5] => [{2},{3,5},{4},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,2,4,2,5,1] => [1,5,2,4,2,5] => [{1},{3,5},{4},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,2,4,5,1,2] => [2,1,5,4,2,5] => [{2},{1,5},{4},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,2,4,5,2,1] => [1,2,5,4,2,5] => [{1},{2,5},{4},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,2,5,1,2,4] => [4,2,1,5,2,5] => [{3},{2,5},{1},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,2,5,1,4,2] => [2,4,1,5,2,5] => [{3},{1,5},{2},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,5,2,1,4] => [4,1,2,5,2,5] => [{2},{3,5},{1},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,2,5,2,4,1] => [1,4,2,5,2,5] => [{1},{3,5},{2},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,2,5,4,1,2] => [2,1,4,5,2,5] => [{2},{1,5},{3},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,2,5,4,2,1] => [1,2,4,5,2,5] => [{1},{2,5},{3},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,4,1,2,2,5] => [5,2,2,1,4,5] => [{4},{2,3},{5},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,4,1,2,5,2] => [2,5,2,1,4,5] => [{4},{1,3},{5},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,4,1,5,2,2] => [2,2,5,1,4,5] => [{4},{1,2},{5},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,4,2,1,2,5] => [5,2,1,2,4,5] => [{3},{2,4},{5},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,4,2,1,5,2] => [2,5,1,2,4,5] => [{3},{1,4},{5},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,4,2,2,1,5] => [5,1,2,2,4,5] => [{2},{3,4},{5},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,4,2,2,5,1] => [1,5,2,2,4,5] => [{1},{3,4},{5},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,4,2,5,1,2] => [2,1,5,2,4,5] => [{2},{1,4},{5},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,4,2,5,2,1] => [1,2,5,2,4,5] => [{1},{2,4},{5},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,4,5,1,2,2] => [2,2,1,5,4,5] => [{3},{1,2},{5},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,4,5,2,1,2] => [2,1,2,5,4,5] => [{2},{1,3},{5},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,4,5,2,2,1] => [1,2,2,5,4,5] => [{1},{2,3},{5},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,5,1,2,2,4] => [4,2,2,1,5,5] => [{4},{2,3},{1},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,1,2,4,2] => [2,4,2,1,5,5] => [{4},{1,3},{2},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,1,4,2,2] => [2,2,4,1,5,5] => [{4},{1,2},{3},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,2,1,2,4] => [4,2,1,2,5,5] => [{3},{2,4},{1},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,2,1,4,2] => [2,4,1,2,5,5] => [{3},{1,4},{2},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,2,1,4] => [4,1,2,2,5,5] => [{2},{3,4},{1},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,2,2,4,1] => [1,4,2,2,5,5] => [{1},{3,4},{2},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,2,4,1,2] => [2,1,4,2,5,5] => [{2},{1,4},{3},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,2,4,2,1] => [1,2,4,2,5,5] => [{1},{2,4},{3},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,4,1,2,2] => [2,2,1,4,5,5] => [{3},{1,2},{4},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,4,2,1,2] => [2,1,2,4,5,5] => [{2},{1,3},{4},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,4,2,2,1] => [1,2,2,4,5,5] => [{1},{2,3},{4},{5,6}] => {{1},{2,3},{4},{5,6}}
[1,2,2,4,5,6] => [6,5,4,2,2,1] => [{6},{4,5},{3},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,4,6,5] => [5,6,4,2,2,1] => [{6},{4,5},{3},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,4,6] => [6,4,5,2,2,1] => [{6},{4,5},{2},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,5,6,4] => [4,6,5,2,2,1] => [{6},{4,5},{1},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,4,5] => [5,4,6,2,2,1] => [{6},{4,5},{2},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,2,6,5,4] => [4,5,6,2,2,1] => [{6},{4,5},{1},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,2,4,2,5,6] => [6,5,2,4,2,1] => [{6},{3,5},{4},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,2,6,5] => [5,6,2,4,2,1] => [{6},{3,5},{4},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,4,5,2,6] => [6,2,5,4,2,1] => [{6},{2,5},{4},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,5,6,2] => [2,6,5,4,2,1] => [{6},{1,5},{4},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,4,6,2,5] => [5,2,6,4,2,1] => [{6},{2,5},{4},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,4,6,5,2] => [2,5,6,4,2,1] => [{6},{1,5},{4},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,2,4,6] => [6,4,2,5,2,1] => [{6},{3,5},{2},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,2,6,4] => [4,6,2,5,2,1] => [{6},{3,5},{1},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,2,5,4,2,6] => [6,2,4,5,2,1] => [{6},{2,5},{3},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,4,6,2] => [2,6,4,5,2,1] => [{6},{1,5},{3},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,2,5,6,2,4] => [4,2,6,5,2,1] => [{6},{2,5},{1},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,2,5,6,4,2] => [2,4,6,5,2,1] => [{6},{1,5},{2},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,2,4,5] => [5,4,2,6,2,1] => [{6},{3,5},{2},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,2,5,4] => [4,5,2,6,2,1] => [{6},{3,5},{1},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,2,6,4,2,5] => [5,2,4,6,2,1] => [{6},{2,5},{3},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,4,5,2] => [2,5,4,6,2,1] => [{6},{1,5},{3},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,2,6,5,2,4] => [4,2,5,6,2,1] => [{6},{2,5},{1},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,2,6,5,4,2] => [2,4,5,6,2,1] => [{6},{1,5},{2},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,4,2,2,5,6] => [6,5,2,2,4,1] => [{6},{3,4},{5},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,2,6,5] => [5,6,2,2,4,1] => [{6},{3,4},{5},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,5,2,6] => [6,2,5,2,4,1] => [{6},{2,4},{5},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,5,6,2] => [2,6,5,2,4,1] => [{6},{1,4},{5},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,4,2,6,2,5] => [5,2,6,2,4,1] => [{6},{2,4},{5},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,4,2,6,5,2] => [2,5,6,2,4,1] => [{6},{1,4},{5},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,4,5,2,2,6] => [6,2,2,5,4,1] => [{6},{2,3},{5},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,4,5,2,6,2] => [2,6,2,5,4,1] => [{6},{1,3},{5},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,4,5,6,2,2] => [2,2,6,5,4,1] => [{6},{1,2},{5},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,4,6,2,2,5] => [5,2,2,6,4,1] => [{6},{2,3},{5},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,4,6,2,5,2] => [2,5,2,6,4,1] => [{6},{1,3},{5},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,4,6,5,2,2] => [2,2,5,6,4,1] => [{6},{1,2},{5},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,5,2,2,4,6] => [6,4,2,2,5,1] => [{6},{3,4},{2},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,2,6,4] => [4,6,2,2,5,1] => [{6},{3,4},{1},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,4,2,6] => [6,2,4,2,5,1] => [{6},{2,4},{3},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,4,6,2] => [2,6,4,2,5,1] => [{6},{1,4},{3},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,5,2,6,2,4] => [4,2,6,2,5,1] => [{6},{2,4},{1},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,5,2,6,4,2] => [2,4,6,2,5,1] => [{6},{1,4},{2},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,5,4,2,2,6] => [6,2,2,4,5,1] => [{6},{2,3},{4},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,5,4,2,6,2] => [2,6,2,4,5,1] => [{6},{1,3},{4},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,5,4,6,2,2] => [2,2,6,4,5,1] => [{6},{1,2},{4},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,5,6,2,2,4] => [4,2,2,6,5,1] => [{6},{2,3},{1},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,5,6,2,4,2] => [2,4,2,6,5,1] => [{6},{1,3},{2},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,5,6,4,2,2] => [2,2,4,6,5,1] => [{6},{1,2},{3},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,6,2,2,4,5] => [5,4,2,2,6,1] => [{6},{3,4},{2},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,2,5,4] => [4,5,2,2,6,1] => [{6},{3,4},{1},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,2,4,2,5] => [5,2,4,2,6,1] => [{6},{2,4},{3},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,4,5,2] => [2,5,4,2,6,1] => [{6},{1,4},{3},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,2,5,2,4] => [4,2,5,2,6,1] => [{6},{2,4},{1},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,2,5,4,2] => [2,4,5,2,6,1] => [{6},{1,4},{2},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,4,2,2,5] => [5,2,2,4,6,1] => [{6},{2,3},{4},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,4,2,5,2] => [2,5,2,4,6,1] => [{6},{1,3},{4},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,4,5,2,2] => [2,2,5,4,6,1] => [{6},{1,2},{4},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,5,2,2,4] => [4,2,2,5,6,1] => [{6},{2,3},{1},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,5,2,4,2] => [2,4,2,5,6,1] => [{6},{1,3},{2},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,5,4,2,2] => [2,2,4,5,6,1] => [{6},{1,2},{3},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,1,2,4,5,6] => [6,5,4,2,1,2] => [{5},{4,6},{3},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,4,6,5] => [5,6,4,2,1,2] => [{5},{4,6},{3},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,4,6] => [6,4,5,2,1,2] => [{5},{4,6},{2},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,5,6,4] => [4,6,5,2,1,2] => [{5},{4,6},{1},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,4,5] => [5,4,6,2,1,2] => [{5},{4,6},{2},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,2,6,5,4] => [4,5,6,2,1,2] => [{5},{4,6},{1},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,1,4,2,5,6] => [6,5,2,4,1,2] => [{5},{3,6},{4},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,2,6,5] => [5,6,2,4,1,2] => [{5},{3,6},{4},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,4,5,2,6] => [6,2,5,4,1,2] => [{5},{2,6},{4},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,5,6,2] => [2,6,5,4,1,2] => [{5},{1,6},{4},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,4,6,2,5] => [5,2,6,4,1,2] => [{5},{2,6},{4},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,4,6,5,2] => [2,5,6,4,1,2] => [{5},{1,6},{4},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,2,4,6] => [6,4,2,5,1,2] => [{5},{3,6},{2},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,2,6,4] => [4,6,2,5,1,2] => [{5},{3,6},{1},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,1,5,4,2,6] => [6,2,4,5,1,2] => [{5},{2,6},{3},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,4,6,2] => [2,6,4,5,1,2] => [{5},{1,6},{3},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,1,5,6,2,4] => [4,2,6,5,1,2] => [{5},{2,6},{1},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,1,5,6,4,2] => [2,4,6,5,1,2] => [{5},{1,6},{2},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,2,4,5] => [5,4,2,6,1,2] => [{5},{3,6},{2},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,2,5,4] => [4,5,2,6,1,2] => [{5},{3,6},{1},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,1,6,4,2,5] => [5,2,4,6,1,2] => [{5},{2,6},{3},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,4,5,2] => [2,5,4,6,1,2] => [{5},{1,6},{3},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,1,6,5,2,4] => [4,2,5,6,1,2] => [{5},{2,6},{1},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,1,6,5,4,2] => [2,4,5,6,1,2] => [{5},{1,6},{2},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,2,1,4,5,6] => [6,5,4,1,2,2] => [{4},{5,6},{3},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,4,6,5] => [5,6,4,1,2,2] => [{4},{5,6},{3},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,4,6] => [6,4,5,1,2,2] => [{4},{5,6},{2},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,5,6,4] => [4,6,5,1,2,2] => [{4},{5,6},{1},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,4,5] => [5,4,6,1,2,2] => [{4},{5,6},{2},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,1,6,5,4] => [4,5,6,1,2,2] => [{4},{5,6},{1},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,5,6] => [6,5,1,4,2,2] => [{3},{5,6},{4},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,1,6,5] => [5,6,1,4,2,2] => [{3},{5,6},{4},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,5,1,6] => [6,1,5,4,2,2] => [{2},{5,6},{4},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,5,6,1] => [1,6,5,4,2,2] => [{1},{5,6},{4},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,6,1,5] => [5,1,6,4,2,2] => [{2},{5,6},{4},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,4,6,5,1] => [1,5,6,4,2,2] => [{1},{5,6},{4},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,4,6] => [6,4,1,5,2,2] => [{3},{5,6},{2},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,1,6,4] => [4,6,1,5,2,2] => [{3},{5,6},{1},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,4,1,6] => [6,1,4,5,2,2] => [{2},{5,6},{3},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,4,6,1] => [1,6,4,5,2,2] => [{1},{5,6},{3},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,6,1,4] => [4,1,6,5,2,2] => [{2},{5,6},{1},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,5,6,4,1] => [1,4,6,5,2,2] => [{1},{5,6},{2},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,4,5] => [5,4,1,6,2,2] => [{3},{5,6},{2},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,1,5,4] => [4,5,1,6,2,2] => [{3},{5,6},{1},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,4,1,5] => [5,1,4,6,2,2] => [{2},{5,6},{3},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,4,5,1] => [1,5,4,6,2,2] => [{1},{5,6},{3},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,5,1,4] => [4,1,5,6,2,2] => [{2},{5,6},{1},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,2,6,5,4,1] => [1,4,5,6,2,2] => [{1},{5,6},{2},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[2,4,1,2,5,6] => [6,5,2,1,4,2] => [{4},{3,6},{5},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,2,6,5] => [5,6,2,1,4,2] => [{4},{3,6},{5},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,1,5,2,6] => [6,2,5,1,4,2] => [{4},{2,6},{5},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,5,6,2] => [2,6,5,1,4,2] => [{4},{1,6},{5},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,1,6,2,5] => [5,2,6,1,4,2] => [{4},{2,6},{5},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,1,6,5,2] => [2,5,6,1,4,2] => [{4},{1,6},{5},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,2,1,5,6] => [6,5,1,2,4,2] => [{3},{4,6},{5},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,1,6,5] => [5,6,1,2,4,2] => [{3},{4,6},{5},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,5,1,6] => [6,1,5,2,4,2] => [{2},{4,6},{5},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,5,6,1] => [1,6,5,2,4,2] => [{1},{4,6},{5},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,6,1,5] => [5,1,6,2,4,2] => [{2},{4,6},{5},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,2,6,5,1] => [1,5,6,2,4,2] => [{1},{4,6},{5},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[2,4,5,1,2,6] => [6,2,1,5,4,2] => [{3},{2,6},{5},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[2,4,5,1,6,2] => [2,6,1,5,4,2] => [{3},{1,6},{5},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[2,4,5,2,1,6] => [6,1,2,5,4,2] => [{2},{3,6},{5},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[2,4,5,2,6,1] => [1,6,2,5,4,2] => [{1},{3,6},{5},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[2,4,5,6,1,2] => [2,1,6,5,4,2] => [{2},{1,6},{5},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[2,4,5,6,2,1] => [1,2,6,5,4,2] => [{1},{2,6},{5},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[2,4,6,1,2,5] => [5,2,1,6,4,2] => [{3},{2,6},{5},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[2,4,6,1,5,2] => [2,5,1,6,4,2] => [{3},{1,6},{5},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,6,2,1,5] => [5,1,2,6,4,2] => [{2},{3,6},{5},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,6,2,5,1] => [1,5,2,6,4,2] => [{1},{3,6},{5},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[2,4,6,5,1,2] => [2,1,5,6,4,2] => [{2},{1,6},{5},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[2,4,6,5,2,1] => [1,2,5,6,4,2] => [{1},{2,6},{5},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,2,4,6] => [6,4,2,1,5,2] => [{4},{3,6},{2},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,2,6,4] => [4,6,2,1,5,2] => [{4},{3,6},{1},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,5,1,4,2,6] => [6,2,4,1,5,2] => [{4},{2,6},{3},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,4,6,2] => [2,6,4,1,5,2] => [{4},{1,6},{3},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,5,1,6,2,4] => [4,2,6,1,5,2] => [{4},{2,6},{1},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,5,1,6,4,2] => [2,4,6,1,5,2] => [{4},{1,6},{2},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,5,2,1,4,6] => [6,4,1,2,5,2] => [{3},{4,6},{2},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,1,6,4] => [4,6,1,2,5,2] => [{3},{4,6},{1},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,4,1,6] => [6,1,4,2,5,2] => [{2},{4,6},{3},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,4,6,1] => [1,6,4,2,5,2] => [{1},{4,6},{3},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,6,1,4] => [4,1,6,2,5,2] => [{2},{4,6},{1},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,5,2,6,4,1] => [1,4,6,2,5,2] => [{1},{4,6},{2},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[2,5,4,1,2,6] => [6,2,1,4,5,2] => [{3},{2,6},{4},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[2,5,4,1,6,2] => [2,6,1,4,5,2] => [{3},{1,6},{4},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[2,5,4,2,1,6] => [6,1,2,4,5,2] => [{2},{3,6},{4},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[2,5,4,2,6,1] => [1,6,2,4,5,2] => [{1},{3,6},{4},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[2,5,4,6,1,2] => [2,1,6,4,5,2] => [{2},{1,6},{4},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[2,5,4,6,2,1] => [1,2,6,4,5,2] => [{1},{2,6},{4},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[2,5,6,1,2,4] => [4,2,1,6,5,2] => [{3},{2,6},{1},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,5,6,1,4,2] => [2,4,1,6,5,2] => [{3},{1,6},{2},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,5,6,2,1,4] => [4,1,2,6,5,2] => [{2},{3,6},{1},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,5,6,2,4,1] => [1,4,2,6,5,2] => [{1},{3,6},{2},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[2,5,6,4,1,2] => [2,1,4,6,5,2] => [{2},{1,6},{3},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[2,5,6,4,2,1] => [1,2,4,6,5,2] => [{1},{2,6},{3},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,2,4,5] => [5,4,2,1,6,2] => [{4},{3,6},{2},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,2,5,4] => [4,5,2,1,6,2] => [{4},{3,6},{1},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,1,4,2,5] => [5,2,4,1,6,2] => [{4},{2,6},{3},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,4,5,2] => [2,5,4,1,6,2] => [{4},{1,6},{3},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,1,5,2,4] => [4,2,5,1,6,2] => [{4},{2,6},{1},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,1,5,4,2] => [2,4,5,1,6,2] => [{4},{1,6},{2},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,2,1,4,5] => [5,4,1,2,6,2] => [{3},{4,6},{2},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,1,5,4] => [4,5,1,2,6,2] => [{3},{4,6},{1},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,4,1,5] => [5,1,4,2,6,2] => [{2},{4,6},{3},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,4,5,1] => [1,5,4,2,6,2] => [{1},{4,6},{3},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,5,1,4] => [4,1,5,2,6,2] => [{2},{4,6},{1},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,2,5,4,1] => [1,4,5,2,6,2] => [{1},{4,6},{2},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[2,6,4,1,2,5] => [5,2,1,4,6,2] => [{3},{2,6},{4},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,4,1,5,2] => [2,5,1,4,6,2] => [{3},{1,6},{4},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,4,2,1,5] => [5,1,2,4,6,2] => [{2},{3,6},{4},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,4,2,5,1] => [1,5,2,4,6,2] => [{1},{3,6},{4},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,4,5,1,2] => [2,1,5,4,6,2] => [{2},{1,6},{4},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,4,5,2,1] => [1,2,5,4,6,2] => [{1},{2,6},{4},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,5,1,2,4] => [4,2,1,5,6,2] => [{3},{2,6},{1},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[2,6,5,1,4,2] => [2,4,1,5,6,2] => [{3},{1,6},{2},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,5,2,1,4] => [4,1,2,5,6,2] => [{2},{3,6},{1},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,5,2,4,1] => [1,4,2,5,6,2] => [{1},{3,6},{2},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[2,6,5,4,1,2] => [2,1,4,5,6,2] => [{2},{1,6},{3},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[2,6,5,4,2,1] => [1,2,4,5,6,2] => [{1},{2,6},{3},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[4,1,2,2,5,6] => [6,5,2,2,1,4] => [{5},{3,4},{6},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,2,6,5] => [5,6,2,2,1,4] => [{5},{3,4},{6},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,5,2,6] => [6,2,5,2,1,4] => [{5},{2,4},{6},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,5,6,2] => [2,6,5,2,1,4] => [{5},{1,4},{6},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[4,1,2,6,2,5] => [5,2,6,2,1,4] => [{5},{2,4},{6},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[4,1,2,6,5,2] => [2,5,6,2,1,4] => [{5},{1,4},{6},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[4,1,5,2,2,6] => [6,2,2,5,1,4] => [{5},{2,3},{6},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[4,1,5,2,6,2] => [2,6,2,5,1,4] => [{5},{1,3},{6},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[4,1,5,6,2,2] => [2,2,6,5,1,4] => [{5},{1,2},{6},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[4,1,6,2,2,5] => [5,2,2,6,1,4] => [{5},{2,3},{6},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[4,1,6,2,5,2] => [2,5,2,6,1,4] => [{5},{1,3},{6},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[4,1,6,5,2,2] => [2,2,5,6,1,4] => [{5},{1,2},{6},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[4,2,1,2,5,6] => [6,5,2,1,2,4] => [{4},{3,5},{6},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,2,6,5] => [5,6,2,1,2,4] => [{4},{3,5},{6},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,1,5,2,6] => [6,2,5,1,2,4] => [{4},{2,5},{6},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,5,6,2] => [2,6,5,1,2,4] => [{4},{1,5},{6},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,1,6,2,5] => [5,2,6,1,2,4] => [{4},{2,5},{6},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,1,6,5,2] => [2,5,6,1,2,4] => [{4},{1,5},{6},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,2,1,5,6] => [6,5,1,2,2,4] => [{3},{4,5},{6},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,1,6,5] => [5,6,1,2,2,4] => [{3},{4,5},{6},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,5,1,6] => [6,1,5,2,2,4] => [{2},{4,5},{6},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,5,6,1] => [1,6,5,2,2,4] => [{1},{4,5},{6},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,6,1,5] => [5,1,6,2,2,4] => [{2},{4,5},{6},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,2,6,5,1] => [1,5,6,2,2,4] => [{1},{4,5},{6},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[4,2,5,1,2,6] => [6,2,1,5,2,4] => [{3},{2,5},{6},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[4,2,5,1,6,2] => [2,6,1,5,2,4] => [{3},{1,5},{6},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[4,2,5,2,1,6] => [6,1,2,5,2,4] => [{2},{3,5},{6},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[4,2,5,2,6,1] => [1,6,2,5,2,4] => [{1},{3,5},{6},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[4,2,5,6,1,2] => [2,1,6,5,2,4] => [{2},{1,5},{6},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[4,2,5,6,2,1] => [1,2,6,5,2,4] => [{1},{2,5},{6},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[4,2,6,1,2,5] => [5,2,1,6,2,4] => [{3},{2,5},{6},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[4,2,6,1,5,2] => [2,5,1,6,2,4] => [{3},{1,5},{6},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,6,2,1,5] => [5,1,2,6,2,4] => [{2},{3,5},{6},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,6,2,5,1] => [1,5,2,6,2,4] => [{1},{3,5},{6},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[4,2,6,5,1,2] => [2,1,5,6,2,4] => [{2},{1,5},{6},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[4,2,6,5,2,1] => [1,2,5,6,2,4] => [{1},{2,5},{6},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[4,5,1,2,2,6] => [6,2,2,1,5,4] => [{4},{2,3},{6},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[4,5,1,2,6,2] => [2,6,2,1,5,4] => [{4},{1,3},{6},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[4,5,1,6,2,2] => [2,2,6,1,5,4] => [{4},{1,2},{6},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[4,5,2,1,2,6] => [6,2,1,2,5,4] => [{3},{2,4},{6},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[4,5,2,1,6,2] => [2,6,1,2,5,4] => [{3},{1,4},{6},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,2,1,6] => [6,1,2,2,5,4] => [{2},{3,4},{6},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[4,5,2,2,6,1] => [1,6,2,2,5,4] => [{1},{3,4},{6},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[4,5,2,6,1,2] => [2,1,6,2,5,4] => [{2},{1,4},{6},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[4,5,2,6,2,1] => [1,2,6,2,5,4] => [{1},{2,4},{6},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[4,5,6,1,2,2] => [2,2,1,6,5,4] => [{3},{1,2},{6},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[4,5,6,2,1,2] => [2,1,2,6,5,4] => [{2},{1,3},{6},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[4,5,6,2,2,1] => [1,2,2,6,5,4] => [{1},{2,3},{6},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[4,6,1,2,2,5] => [5,2,2,1,6,4] => [{4},{2,3},{6},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,1,2,5,2] => [2,5,2,1,6,4] => [{4},{1,3},{6},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,1,5,2,2] => [2,2,5,1,6,4] => [{4},{1,2},{6},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,2,1,2,5] => [5,2,1,2,6,4] => [{3},{2,4},{6},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,2,1,5,2] => [2,5,1,2,6,4] => [{3},{1,4},{6},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,2,1,5] => [5,1,2,2,6,4] => [{2},{3,4},{6},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,2,2,5,1] => [1,5,2,2,6,4] => [{1},{3,4},{6},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,2,5,1,2] => [2,1,5,2,6,4] => [{2},{1,4},{6},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,2,5,2,1] => [1,2,5,2,6,4] => [{1},{2,4},{6},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,5,1,2,2] => [2,2,1,5,6,4] => [{3},{1,2},{6},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,5,2,1,2] => [2,1,2,5,6,4] => [{2},{1,3},{6},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,5,2,2,1] => [1,2,2,5,6,4] => [{1},{2,3},{6},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[5,1,2,2,4,6] => [6,4,2,2,1,5] => [{5},{3,4},{2},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,2,6,4] => [4,6,2,2,1,5] => [{5},{3,4},{1},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,4,2,6] => [6,2,4,2,1,5] => [{5},{2,4},{3},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,4,6,2] => [2,6,4,2,1,5] => [{5},{1,4},{3},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,1,2,6,2,4] => [4,2,6,2,1,5] => [{5},{2,4},{1},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,1,2,6,4,2] => [2,4,6,2,1,5] => [{5},{1,4},{2},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,1,4,2,2,6] => [6,2,2,4,1,5] => [{5},{2,3},{4},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,1,4,2,6,2] => [2,6,2,4,1,5] => [{5},{1,3},{4},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,1,4,6,2,2] => [2,2,6,4,1,5] => [{5},{1,2},{4},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,1,6,2,2,4] => [4,2,2,6,1,5] => [{5},{2,3},{1},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,1,6,2,4,2] => [2,4,2,6,1,5] => [{5},{1,3},{2},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,1,6,4,2,2] => [2,2,4,6,1,5] => [{5},{1,2},{3},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,2,1,2,4,6] => [6,4,2,1,2,5] => [{4},{3,5},{2},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,2,6,4] => [4,6,2,1,2,5] => [{4},{3,5},{1},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,2,1,4,2,6] => [6,2,4,1,2,5] => [{4},{2,5},{3},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,4,6,2] => [2,6,4,1,2,5] => [{4},{1,5},{3},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,2,1,6,2,4] => [4,2,6,1,2,5] => [{4},{2,5},{1},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,2,1,6,4,2] => [2,4,6,1,2,5] => [{4},{1,5},{2},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,2,2,1,4,6] => [6,4,1,2,2,5] => [{3},{4,5},{2},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,1,6,4] => [4,6,1,2,2,5] => [{3},{4,5},{1},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,4,1,6] => [6,1,4,2,2,5] => [{2},{4,5},{3},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,4,6,1] => [1,6,4,2,2,5] => [{1},{4,5},{3},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,6,1,4] => [4,1,6,2,2,5] => [{2},{4,5},{1},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,2,2,6,4,1] => [1,4,6,2,2,5] => [{1},{4,5},{2},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,2,4,1,2,6] => [6,2,1,4,2,5] => [{3},{2,5},{4},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,2,4,1,6,2] => [2,6,1,4,2,5] => [{3},{1,5},{4},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,2,4,2,1,6] => [6,1,2,4,2,5] => [{2},{3,5},{4},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,2,4,2,6,1] => [1,6,2,4,2,5] => [{1},{3,5},{4},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,2,4,6,1,2] => [2,1,6,4,2,5] => [{2},{1,5},{4},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,2,4,6,2,1] => [1,2,6,4,2,5] => [{1},{2,5},{4},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,2,6,1,2,4] => [4,2,1,6,2,5] => [{3},{2,5},{1},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,2,6,1,4,2] => [2,4,1,6,2,5] => [{3},{1,5},{2},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,6,2,1,4] => [4,1,2,6,2,5] => [{2},{3,5},{1},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,2,6,2,4,1] => [1,4,2,6,2,5] => [{1},{3,5},{2},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,2,6,4,1,2] => [2,1,4,6,2,5] => [{2},{1,5},{3},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,2,6,4,2,1] => [1,2,4,6,2,5] => [{1},{2,5},{3},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,4,1,2,2,6] => [6,2,2,1,4,5] => [{4},{2,3},{5},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,4,1,2,6,2] => [2,6,2,1,4,5] => [{4},{1,3},{5},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,4,1,6,2,2] => [2,2,6,1,4,5] => [{4},{1,2},{5},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,4,2,1,2,6] => [6,2,1,2,4,5] => [{3},{2,4},{5},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,4,2,1,6,2] => [2,6,1,2,4,5] => [{3},{1,4},{5},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,2,1,6] => [6,1,2,2,4,5] => [{2},{3,4},{5},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,4,2,2,6,1] => [1,6,2,2,4,5] => [{1},{3,4},{5},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,4,2,6,1,2] => [2,1,6,2,4,5] => [{2},{1,4},{5},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,4,2,6,2,1] => [1,2,6,2,4,5] => [{1},{2,4},{5},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,4,6,1,2,2] => [2,2,1,6,4,5] => [{3},{1,2},{5},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,4,6,2,1,2] => [2,1,2,6,4,5] => [{2},{1,3},{5},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,4,6,2,2,1] => [1,2,2,6,4,5] => [{1},{2,3},{5},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,6,1,2,2,4] => [4,2,2,1,6,5] => [{4},{2,3},{1},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,1,2,4,2] => [2,4,2,1,6,5] => [{4},{1,3},{2},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,1,4,2,2] => [2,2,4,1,6,5] => [{4},{1,2},{3},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,2,1,2,4] => [4,2,1,2,6,5] => [{3},{2,4},{1},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,2,1,4,2] => [2,4,1,2,6,5] => [{3},{1,4},{2},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,2,1,4] => [4,1,2,2,6,5] => [{2},{3,4},{1},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,2,2,4,1] => [1,4,2,2,6,5] => [{1},{3,4},{2},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,2,4,1,2] => [2,1,4,2,6,5] => [{2},{1,4},{3},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,2,4,2,1] => [1,2,4,2,6,5] => [{1},{2,4},{3},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,4,1,2,2] => [2,2,1,4,6,5] => [{3},{1,2},{4},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,4,2,1,2] => [2,1,2,4,6,5] => [{2},{1,3},{4},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,4,2,2,1] => [1,2,2,4,6,5] => [{1},{2,3},{4},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[6,1,2,2,4,5] => [5,4,2,2,1,6] => [{5},{3,4},{2},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,2,5,4] => [4,5,2,2,1,6] => [{5},{3,4},{1},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,4,2,5] => [5,2,4,2,1,6] => [{5},{2,4},{3},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,4,5,2] => [2,5,4,2,1,6] => [{5},{1,4},{3},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,2,5,2,4] => [4,2,5,2,1,6] => [{5},{2,4},{1},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,2,5,4,2] => [2,4,5,2,1,6] => [{5},{1,4},{2},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,4,2,2,5] => [5,2,2,4,1,6] => [{5},{2,3},{4},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,4,2,5,2] => [2,5,2,4,1,6] => [{5},{1,3},{4},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,4,5,2,2] => [2,2,5,4,1,6] => [{5},{1,2},{4},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,5,2,2,4] => [4,2,2,5,1,6] => [{5},{2,3},{1},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,5,2,4,2] => [2,4,2,5,1,6] => [{5},{1,3},{2},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,5,4,2,2] => [2,2,4,5,1,6] => [{5},{1,2},{3},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,1,2,4,5] => [5,4,2,1,2,6] => [{4},{3,5},{2},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,2,5,4] => [4,5,2,1,2,6] => [{4},{3,5},{1},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,1,4,2,5] => [5,2,4,1,2,6] => [{4},{2,5},{3},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,4,5,2] => [2,5,4,1,2,6] => [{4},{1,5},{3},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,1,5,2,4] => [4,2,5,1,2,6] => [{4},{2,5},{1},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,1,5,4,2] => [2,4,5,1,2,6] => [{4},{1,5},{2},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,2,1,4,5] => [5,4,1,2,2,6] => [{3},{4,5},{2},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,1,5,4] => [4,5,1,2,2,6] => [{3},{4,5},{1},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,4,1,5] => [5,1,4,2,2,6] => [{2},{4,5},{3},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,4,5,1] => [1,5,4,2,2,6] => [{1},{4,5},{3},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,5,1,4] => [4,1,5,2,2,6] => [{2},{4,5},{1},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,2,5,4,1] => [1,4,5,2,2,6] => [{1},{4,5},{2},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,2,4,1,2,5] => [5,2,1,4,2,6] => [{3},{2,5},{4},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,4,1,5,2] => [2,5,1,4,2,6] => [{3},{1,5},{4},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,4,2,1,5] => [5,1,2,4,2,6] => [{2},{3,5},{4},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,4,2,5,1] => [1,5,2,4,2,6] => [{1},{3,5},{4},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,4,5,1,2] => [2,1,5,4,2,6] => [{2},{1,5},{4},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,4,5,2,1] => [1,2,5,4,2,6] => [{1},{2,5},{4},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,5,1,2,4] => [4,2,1,5,2,6] => [{3},{2,5},{1},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,2,5,1,4,2] => [2,4,1,5,2,6] => [{3},{1,5},{2},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,5,2,1,4] => [4,1,2,5,2,6] => [{2},{3,5},{1},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,5,2,4,1] => [1,4,2,5,2,6] => [{1},{3,5},{2},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,2,5,4,1,2] => [2,1,4,5,2,6] => [{2},{1,5},{3},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,2,5,4,2,1] => [1,2,4,5,2,6] => [{1},{2,5},{3},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,1,2,2,5] => [5,2,2,1,4,6] => [{4},{2,3},{5},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,1,2,5,2] => [2,5,2,1,4,6] => [{4},{1,3},{5},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,1,5,2,2] => [2,2,5,1,4,6] => [{4},{1,2},{5},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,2,1,2,5] => [5,2,1,2,4,6] => [{3},{2,4},{5},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,2,1,5,2] => [2,5,1,2,4,6] => [{3},{1,4},{5},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,2,1,5] => [5,1,2,2,4,6] => [{2},{3,4},{5},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,2,2,5,1] => [1,5,2,2,4,6] => [{1},{3,4},{5},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,2,5,1,2] => [2,1,5,2,4,6] => [{2},{1,4},{5},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,2,5,2,1] => [1,2,5,2,4,6] => [{1},{2,4},{5},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,5,1,2,2] => [2,2,1,5,4,6] => [{3},{1,2},{5},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,5,2,1,2] => [2,1,2,5,4,6] => [{2},{1,3},{5},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,5,2,2,1] => [1,2,2,5,4,6] => [{1},{2,3},{5},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,1,2,2,4] => [4,2,2,1,5,6] => [{4},{2,3},{1},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,1,2,4,2] => [2,4,2,1,5,6] => [{4},{1,3},{2},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,1,4,2,2] => [2,2,4,1,5,6] => [{4},{1,2},{3},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,2,1,2,4] => [4,2,1,2,5,6] => [{3},{2,4},{1},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,2,1,4,2] => [2,4,1,2,5,6] => [{3},{1,4},{2},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,2,1,4] => [4,1,2,2,5,6] => [{2},{3,4},{1},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,2,2,4,1] => [1,4,2,2,5,6] => [{1},{3,4},{2},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,2,4,1,2] => [2,1,4,2,5,6] => [{2},{1,4},{3},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,2,4,2,1] => [1,2,4,2,5,6] => [{1},{2,4},{3},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,4,1,2,2] => [2,2,1,4,5,6] => [{3},{1,2},{4},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,4,2,1,2] => [2,1,2,4,5,6] => [{2},{1,3},{4},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,4,2,2,1] => [1,2,2,4,5,6] => [{1},{2,3},{4},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[1,2,3,3,3,3] => [3,3,3,3,2,1] => [{6},{5},{1,2,3,4}] => {{1,2,3,4},{5},{6}}
[1,3,2,3,3,3] => [3,3,3,2,3,1] => [{6},{4},{1,2,3,5}] => {{1,2,3,5},{4},{6}}
[1,3,3,2,3,3] => [3,3,2,3,3,1] => [{6},{3},{1,2,4,5}] => {{1,2,4,5},{3},{6}}
[1,3,3,3,2,3] => [3,2,3,3,3,1] => [{6},{2},{1,3,4,5}] => {{1,3,4,5},{2},{6}}
[1,3,3,3,3,2] => [2,3,3,3,3,1] => [{6},{1},{2,3,4,5}] => {{1},{2,3,4,5},{6}}
[2,1,3,3,3,3] => [3,3,3,3,1,2] => [{5},{6},{1,2,3,4}] => {{1,2,3,4},{5},{6}}
[2,3,1,3,3,3] => [3,3,3,1,3,2] => [{4},{6},{1,2,3,5}] => {{1,2,3,5},{4},{6}}
[2,3,3,1,3,3] => [3,3,1,3,3,2] => [{3},{6},{1,2,4,5}] => {{1,2,4,5},{3},{6}}
[2,3,3,3,1,3] => [3,1,3,3,3,2] => [{2},{6},{1,3,4,5}] => {{1,3,4,5},{2},{6}}
[2,3,3,3,3,1] => [1,3,3,3,3,2] => [{1},{6},{2,3,4,5}] => {{1},{2,3,4,5},{6}}
[3,1,2,3,3,3] => [3,3,3,2,1,3] => [{5},{4},{1,2,3,6}] => {{1,2,3,6},{4},{5}}
[3,1,3,2,3,3] => [3,3,2,3,1,3] => [{5},{3},{1,2,4,6}] => {{1,2,4,6},{3},{5}}
[3,1,3,3,2,3] => [3,2,3,3,1,3] => [{5},{2},{1,3,4,6}] => {{1,3,4,6},{2},{5}}
[3,1,3,3,3,2] => [2,3,3,3,1,3] => [{5},{1},{2,3,4,6}] => {{1},{2,3,4,6},{5}}
[3,2,1,3,3,3] => [3,3,3,1,2,3] => [{4},{5},{1,2,3,6}] => {{1,2,3,6},{4},{5}}
[3,2,3,1,3,3] => [3,3,1,3,2,3] => [{3},{5},{1,2,4,6}] => {{1,2,4,6},{3},{5}}
[3,2,3,3,1,3] => [3,1,3,3,2,3] => [{2},{5},{1,3,4,6}] => {{1,3,4,6},{2},{5}}
[3,2,3,3,3,1] => [1,3,3,3,2,3] => [{1},{5},{2,3,4,6}] => {{1},{2,3,4,6},{5}}
[3,3,1,2,3,3] => [3,3,2,1,3,3] => [{4},{3},{1,2,5,6}] => {{1,2,5,6},{3},{4}}
[3,3,1,3,2,3] => [3,2,3,1,3,3] => [{4},{2},{1,3,5,6}] => {{1,3,5,6},{2},{4}}
[3,3,1,3,3,2] => [2,3,3,1,3,3] => [{4},{1},{2,3,5,6}] => {{1},{2,3,5,6},{4}}
[3,3,2,1,3,3] => [3,3,1,2,3,3] => [{3},{4},{1,2,5,6}] => {{1,2,5,6},{3},{4}}
[3,3,2,3,1,3] => [3,1,3,2,3,3] => [{2},{4},{1,3,5,6}] => {{1,3,5,6},{2},{4}}
[3,3,2,3,3,1] => [1,3,3,2,3,3] => [{1},{4},{2,3,5,6}] => {{1},{2,3,5,6},{4}}
[3,3,3,1,2,3] => [3,2,1,3,3,3] => [{3},{2},{1,4,5,6}] => {{1,4,5,6},{2},{3}}
[3,3,3,1,3,2] => [2,3,1,3,3,3] => [{3},{1},{2,4,5,6}] => {{1},{2,4,5,6},{3}}
[3,3,3,2,1,3] => [3,1,2,3,3,3] => [{2},{3},{1,4,5,6}] => {{1,4,5,6},{2},{3}}
[3,3,3,2,3,1] => [1,3,2,3,3,3] => [{1},{3},{2,4,5,6}] => {{1},{2,4,5,6},{3}}
[3,3,3,3,1,2] => [2,1,3,3,3,3] => [{2},{1},{3,4,5,6}] => {{1},{2},{3,4,5,6}}
[3,3,3,3,2,1] => [1,2,3,3,3,3] => [{1},{2},{3,4,5,6}] => {{1},{2},{3,4,5,6}}
[1,2,3,3,3,4] => [4,3,3,3,2,1] => [{6},{5},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[1,2,3,3,4,3] => [3,4,3,3,2,1] => [{6},{5},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[1,2,3,4,3,3] => [3,3,4,3,2,1] => [{6},{5},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[1,2,4,3,3,3] => [3,3,3,4,2,1] => [{6},{5},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[1,3,2,3,3,4] => [4,3,3,2,3,1] => [{6},{4},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[1,3,2,3,4,3] => [3,4,3,2,3,1] => [{6},{4},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[1,3,2,4,3,3] => [3,3,4,2,3,1] => [{6},{4},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[1,3,3,2,3,4] => [4,3,2,3,3,1] => [{6},{3},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[1,3,3,2,4,3] => [3,4,2,3,3,1] => [{6},{3},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[1,3,3,3,2,4] => [4,2,3,3,3,1] => [{6},{2},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[1,3,3,3,4,2] => [2,4,3,3,3,1] => [{6},{1},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[1,3,3,4,2,3] => [3,2,4,3,3,1] => [{6},{2},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[1,3,3,4,3,2] => [2,3,4,3,3,1] => [{6},{1},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[1,3,4,2,3,3] => [3,3,2,4,3,1] => [{6},{3},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,4,3,2,3] => [3,2,3,4,3,1] => [{6},{2},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[1,3,4,3,3,2] => [2,3,3,4,3,1] => [{6},{1},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[1,4,2,3,3,3] => [3,3,3,2,4,1] => [{6},{4},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[1,4,3,2,3,3] => [3,3,2,3,4,1] => [{6},{3},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[1,4,3,3,2,3] => [3,2,3,3,4,1] => [{6},{2},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[1,4,3,3,3,2] => [2,3,3,3,4,1] => [{6},{1},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,3,4] => [4,3,3,3,1,2] => [{5},{6},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,4,3] => [3,4,3,3,1,2] => [{5},{6},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[2,1,3,4,3,3] => [3,3,4,3,1,2] => [{5},{6},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[2,1,4,3,3,3] => [3,3,3,4,1,2] => [{5},{6},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[2,3,1,3,3,4] => [4,3,3,1,3,2] => [{4},{6},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[2,3,1,3,4,3] => [3,4,3,1,3,2] => [{4},{6},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[2,3,1,4,3,3] => [3,3,4,1,3,2] => [{4},{6},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[2,3,3,1,3,4] => [4,3,1,3,3,2] => [{3},{6},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[2,3,3,1,4,3] => [3,4,1,3,3,2] => [{3},{6},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[2,3,3,3,1,4] => [4,1,3,3,3,2] => [{2},{6},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[2,3,3,3,4,1] => [1,4,3,3,3,2] => [{1},{6},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[2,3,3,4,1,3] => [3,1,4,3,3,2] => [{2},{6},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[2,3,3,4,3,1] => [1,3,4,3,3,2] => [{1},{6},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[2,3,4,1,3,3] => [3,3,1,4,3,2] => [{3},{6},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,4,3,1,3] => [3,1,3,4,3,2] => [{2},{6},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[2,3,4,3,3,1] => [1,3,3,4,3,2] => [{1},{6},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[2,4,1,3,3,3] => [3,3,3,1,4,2] => [{4},{6},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[2,4,3,1,3,3] => [3,3,1,3,4,2] => [{3},{6},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[2,4,3,3,1,3] => [3,1,3,3,4,2] => [{2},{6},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[2,4,3,3,3,1] => [1,3,3,3,4,2] => [{1},{6},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[3,1,2,3,3,4] => [4,3,3,2,1,3] => [{5},{4},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,1,2,3,4,3] => [3,4,3,2,1,3] => [{5},{4},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,1,2,4,3,3] => [3,3,4,2,1,3] => [{5},{4},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,1,3,2,3,4] => [4,3,2,3,1,3] => [{5},{3},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,1,3,2,4,3] => [3,4,2,3,1,3] => [{5},{3},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,1,3,3,2,4] => [4,2,3,3,1,3] => [{5},{2},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,1,3,3,4,2] => [2,4,3,3,1,3] => [{5},{1},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,1,3,4,2,3] => [3,2,4,3,1,3] => [{5},{2},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,1,3,4,3,2] => [2,3,4,3,1,3] => [{5},{1},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,1,4,2,3,3] => [3,3,2,4,1,3] => [{5},{3},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,1,4,3,2,3] => [3,2,3,4,1,3] => [{5},{2},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,1,4,3,3,2] => [2,3,3,4,1,3] => [{5},{1},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,3,4] => [4,3,3,1,2,3] => [{4},{5},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,4,3] => [3,4,3,1,2,3] => [{4},{5},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,2,1,4,3,3] => [3,3,4,1,2,3] => [{4},{5},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,2,3,1,3,4] => [4,3,1,3,2,3] => [{3},{5},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,2,3,1,4,3] => [3,4,1,3,2,3] => [{3},{5},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,2,3,3,1,4] => [4,1,3,3,2,3] => [{2},{5},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,2,3,3,4,1] => [1,4,3,3,2,3] => [{1},{5},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,2,3,4,1,3] => [3,1,4,3,2,3] => [{2},{5},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,2,3,4,3,1] => [1,3,4,3,2,3] => [{1},{5},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,2,4,1,3,3] => [3,3,1,4,2,3] => [{3},{5},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,2,4,3,1,3] => [3,1,3,4,2,3] => [{2},{5},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,2,4,3,3,1] => [1,3,3,4,2,3] => [{1},{5},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,3,1,2,3,4] => [4,3,2,1,3,3] => [{4},{3},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,1,2,4,3] => [3,4,2,1,3,3] => [{4},{3},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,1,3,2,4] => [4,2,3,1,3,3] => [{4},{2},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,1,3,4,2] => [2,4,3,1,3,3] => [{4},{1},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,1,4,2,3] => [3,2,4,1,3,3] => [{4},{2},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,1,4,3,2] => [2,3,4,1,3,3] => [{4},{1},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,3,4] => [4,3,1,2,3,3] => [{3},{4},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,4,3] => [3,4,1,2,3,3] => [{3},{4},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,2,3,1,4] => [4,1,3,2,3,3] => [{2},{4},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,2,3,4,1] => [1,4,3,2,3,3] => [{1},{4},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,2,4,1,3] => [3,1,4,2,3,3] => [{2},{4},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,2,4,3,1] => [1,3,4,2,3,3] => [{1},{4},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,3,1,2,4] => [4,2,1,3,3,3] => [{3},{2},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,1,4,2] => [2,4,1,3,3,3] => [{3},{1},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,1,4] => [4,1,2,3,3,3] => [{2},{3},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,4,1] => [1,4,2,3,3,3] => [{1},{3},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,4,1,2] => [2,1,4,3,3,3] => [{2},{1},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,3,4,2,1] => [1,2,4,3,3,3] => [{1},{2},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,4,1,2,3] => [3,2,1,4,3,3] => [{3},{2},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,4,1,3,2] => [2,3,1,4,3,3] => [{3},{1},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,4,2,1,3] => [3,1,2,4,3,3] => [{2},{3},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,4,2,3,1] => [1,3,2,4,3,3] => [{1},{3},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,4,3,1,2] => [2,1,3,4,3,3] => [{2},{1},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,3,4,3,2,1] => [1,2,3,4,3,3] => [{1},{2},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,4,1,2,3,3] => [3,3,2,1,4,3] => [{4},{3},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,4,1,3,2,3] => [3,2,3,1,4,3] => [{4},{2},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,4,1,3,3,2] => [2,3,3,1,4,3] => [{4},{1},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,4,2,1,3,3] => [3,3,1,2,4,3] => [{3},{4},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,4,2,3,1,3] => [3,1,3,2,4,3] => [{2},{4},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,4,2,3,3,1] => [1,3,3,2,4,3] => [{1},{4},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,4,3,1,2,3] => [3,2,1,3,4,3] => [{3},{2},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,4,3,1,3,2] => [2,3,1,3,4,3] => [{3},{1},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,4,3,2,1,3] => [3,1,2,3,4,3] => [{2},{3},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,4,3,2,3,1] => [1,3,2,3,4,3] => [{1},{3},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,4,3,3,1,2] => [2,1,3,3,4,3] => [{2},{1},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[3,4,3,3,2,1] => [1,2,3,3,4,3] => [{1},{2},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[4,1,2,3,3,3] => [3,3,3,2,1,4] => [{5},{4},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[4,1,3,2,3,3] => [3,3,2,3,1,4] => [{5},{3},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[4,1,3,3,2,3] => [3,2,3,3,1,4] => [{5},{2},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[4,1,3,3,3,2] => [2,3,3,3,1,4] => [{5},{1},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[4,2,1,3,3,3] => [3,3,3,1,2,4] => [{4},{5},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[4,2,3,1,3,3] => [3,3,1,3,2,4] => [{3},{5},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[4,2,3,3,1,3] => [3,1,3,3,2,4] => [{2},{5},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[4,2,3,3,3,1] => [1,3,3,3,2,4] => [{1},{5},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[4,3,1,2,3,3] => [3,3,2,1,3,4] => [{4},{3},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[4,3,1,3,2,3] => [3,2,3,1,3,4] => [{4},{2},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[4,3,1,3,3,2] => [2,3,3,1,3,4] => [{4},{1},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[4,3,2,1,3,3] => [3,3,1,2,3,4] => [{3},{4},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[4,3,2,3,1,3] => [3,1,3,2,3,4] => [{2},{4},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[4,3,2,3,3,1] => [1,3,3,2,3,4] => [{1},{4},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[4,3,3,1,2,3] => [3,2,1,3,3,4] => [{3},{2},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[4,3,3,1,3,2] => [2,3,1,3,3,4] => [{3},{1},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[4,3,3,2,1,3] => [3,1,2,3,3,4] => [{2},{3},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[4,3,3,2,3,1] => [1,3,2,3,3,4] => [{1},{3},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[4,3,3,3,1,2] => [2,1,3,3,3,4] => [{2},{1},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[4,3,3,3,2,1] => [1,2,3,3,3,4] => [{1},{2},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[1,2,3,3,3,5] => [5,3,3,3,2,1] => [{6},{5},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[1,2,3,3,5,3] => [3,5,3,3,2,1] => [{6},{5},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[1,2,3,5,3,3] => [3,3,5,3,2,1] => [{6},{5},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[1,2,5,3,3,3] => [3,3,3,5,2,1] => [{6},{5},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[1,3,2,3,3,5] => [5,3,3,2,3,1] => [{6},{4},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[1,3,2,3,5,3] => [3,5,3,2,3,1] => [{6},{4},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[1,3,2,5,3,3] => [3,3,5,2,3,1] => [{6},{4},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[1,3,3,2,3,5] => [5,3,2,3,3,1] => [{6},{3},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[1,3,3,2,5,3] => [3,5,2,3,3,1] => [{6},{3},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[1,3,3,3,2,5] => [5,2,3,3,3,1] => [{6},{2},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[1,3,3,3,5,2] => [2,5,3,3,3,1] => [{6},{1},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[1,3,3,5,2,3] => [3,2,5,3,3,1] => [{6},{2},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[1,3,3,5,3,2] => [2,3,5,3,3,1] => [{6},{1},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[1,3,5,2,3,3] => [3,3,2,5,3,1] => [{6},{3},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,5,3,2,3] => [3,2,3,5,3,1] => [{6},{2},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[1,3,5,3,3,2] => [2,3,3,5,3,1] => [{6},{1},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[1,5,2,3,3,3] => [3,3,3,2,5,1] => [{6},{4},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[1,5,3,2,3,3] => [3,3,2,3,5,1] => [{6},{3},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[1,5,3,3,2,3] => [3,2,3,3,5,1] => [{6},{2},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[1,5,3,3,3,2] => [2,3,3,3,5,1] => [{6},{1},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,3,5] => [5,3,3,3,1,2] => [{5},{6},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,5,3] => [3,5,3,3,1,2] => [{5},{6},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[2,1,3,5,3,3] => [3,3,5,3,1,2] => [{5},{6},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[2,1,5,3,3,3] => [3,3,3,5,1,2] => [{5},{6},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[2,3,1,3,3,5] => [5,3,3,1,3,2] => [{4},{6},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[2,3,1,3,5,3] => [3,5,3,1,3,2] => [{4},{6},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[2,3,1,5,3,3] => [3,3,5,1,3,2] => [{4},{6},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[2,3,3,1,3,5] => [5,3,1,3,3,2] => [{3},{6},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[2,3,3,1,5,3] => [3,5,1,3,3,2] => [{3},{6},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[2,3,3,3,1,5] => [5,1,3,3,3,2] => [{2},{6},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[2,3,3,3,5,1] => [1,5,3,3,3,2] => [{1},{6},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[2,3,3,5,1,3] => [3,1,5,3,3,2] => [{2},{6},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[2,3,3,5,3,1] => [1,3,5,3,3,2] => [{1},{6},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[2,3,5,1,3,3] => [3,3,1,5,3,2] => [{3},{6},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,5,3,1,3] => [3,1,3,5,3,2] => [{2},{6},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[2,3,5,3,3,1] => [1,3,3,5,3,2] => [{1},{6},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[2,5,1,3,3,3] => [3,3,3,1,5,2] => [{4},{6},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[2,5,3,1,3,3] => [3,3,1,3,5,2] => [{3},{6},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[2,5,3,3,1,3] => [3,1,3,3,5,2] => [{2},{6},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[2,5,3,3,3,1] => [1,3,3,3,5,2] => [{1},{6},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[3,1,2,3,3,5] => [5,3,3,2,1,3] => [{5},{4},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,1,2,3,5,3] => [3,5,3,2,1,3] => [{5},{4},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,1,2,5,3,3] => [3,3,5,2,1,3] => [{5},{4},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,1,3,2,3,5] => [5,3,2,3,1,3] => [{5},{3},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,1,3,2,5,3] => [3,5,2,3,1,3] => [{5},{3},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,1,3,3,2,5] => [5,2,3,3,1,3] => [{5},{2},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,1,3,3,5,2] => [2,5,3,3,1,3] => [{5},{1},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,1,3,5,2,3] => [3,2,5,3,1,3] => [{5},{2},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,1,3,5,3,2] => [2,3,5,3,1,3] => [{5},{1},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,1,5,2,3,3] => [3,3,2,5,1,3] => [{5},{3},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,1,5,3,2,3] => [3,2,3,5,1,3] => [{5},{2},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,1,5,3,3,2] => [2,3,3,5,1,3] => [{5},{1},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,3,5] => [5,3,3,1,2,3] => [{4},{5},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,5,3] => [3,5,3,1,2,3] => [{4},{5},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,2,1,5,3,3] => [3,3,5,1,2,3] => [{4},{5},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,2,3,1,3,5] => [5,3,1,3,2,3] => [{3},{5},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,2,3,1,5,3] => [3,5,1,3,2,3] => [{3},{5},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,2,3,3,1,5] => [5,1,3,3,2,3] => [{2},{5},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,2,3,3,5,1] => [1,5,3,3,2,3] => [{1},{5},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,2,3,5,1,3] => [3,1,5,3,2,3] => [{2},{5},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,2,3,5,3,1] => [1,3,5,3,2,3] => [{1},{5},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,2,5,1,3,3] => [3,3,1,5,2,3] => [{3},{5},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,2,5,3,1,3] => [3,1,3,5,2,3] => [{2},{5},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,2,5,3,3,1] => [1,3,3,5,2,3] => [{1},{5},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,3,1,2,3,5] => [5,3,2,1,3,3] => [{4},{3},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,1,2,5,3] => [3,5,2,1,3,3] => [{4},{3},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,1,3,2,5] => [5,2,3,1,3,3] => [{4},{2},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,1,3,5,2] => [2,5,3,1,3,3] => [{4},{1},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,1,5,2,3] => [3,2,5,1,3,3] => [{4},{2},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,1,5,3,2] => [2,3,5,1,3,3] => [{4},{1},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,3,5] => [5,3,1,2,3,3] => [{3},{4},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,5,3] => [3,5,1,2,3,3] => [{3},{4},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,2,3,1,5] => [5,1,3,2,3,3] => [{2},{4},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,2,3,5,1] => [1,5,3,2,3,3] => [{1},{4},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,2,5,1,3] => [3,1,5,2,3,3] => [{2},{4},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,2,5,3,1] => [1,3,5,2,3,3] => [{1},{4},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,3,1,2,5] => [5,2,1,3,3,3] => [{3},{2},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,1,5,2] => [2,5,1,3,3,3] => [{3},{1},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,1,5] => [5,1,2,3,3,3] => [{2},{3},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,5,1] => [1,5,2,3,3,3] => [{1},{3},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,5,1,2] => [2,1,5,3,3,3] => [{2},{1},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,3,5,2,1] => [1,2,5,3,3,3] => [{1},{2},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,5,1,2,3] => [3,2,1,5,3,3] => [{3},{2},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,5,1,3,2] => [2,3,1,5,3,3] => [{3},{1},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,5,2,1,3] => [3,1,2,5,3,3] => [{2},{3},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,5,2,3,1] => [1,3,2,5,3,3] => [{1},{3},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,5,3,1,2] => [2,1,3,5,3,3] => [{2},{1},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,3,5,3,2,1] => [1,2,3,5,3,3] => [{1},{2},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,5,1,2,3,3] => [3,3,2,1,5,3] => [{4},{3},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,5,1,3,2,3] => [3,2,3,1,5,3] => [{4},{2},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,5,1,3,3,2] => [2,3,3,1,5,3] => [{4},{1},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,5,2,1,3,3] => [3,3,1,2,5,3] => [{3},{4},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,5,2,3,1,3] => [3,1,3,2,5,3] => [{2},{4},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,5,2,3,3,1] => [1,3,3,2,5,3] => [{1},{4},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,5,3,1,2,3] => [3,2,1,3,5,3] => [{3},{2},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,5,3,1,3,2] => [2,3,1,3,5,3] => [{3},{1},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,5,3,2,1,3] => [3,1,2,3,5,3] => [{2},{3},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,5,3,2,3,1] => [1,3,2,3,5,3] => [{1},{3},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,5,3,3,1,2] => [2,1,3,3,5,3] => [{2},{1},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[3,5,3,3,2,1] => [1,2,3,3,5,3] => [{1},{2},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[5,1,2,3,3,3] => [3,3,3,2,1,5] => [{5},{4},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[5,1,3,2,3,3] => [3,3,2,3,1,5] => [{5},{3},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[5,1,3,3,2,3] => [3,2,3,3,1,5] => [{5},{2},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[5,1,3,3,3,2] => [2,3,3,3,1,5] => [{5},{1},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[5,2,1,3,3,3] => [3,3,3,1,2,5] => [{4},{5},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[5,2,3,1,3,3] => [3,3,1,3,2,5] => [{3},{5},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[5,2,3,3,1,3] => [3,1,3,3,2,5] => [{2},{5},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[5,2,3,3,3,1] => [1,3,3,3,2,5] => [{1},{5},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[5,3,1,2,3,3] => [3,3,2,1,3,5] => [{4},{3},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[5,3,1,3,2,3] => [3,2,3,1,3,5] => [{4},{2},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[5,3,1,3,3,2] => [2,3,3,1,3,5] => [{4},{1},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[5,3,2,1,3,3] => [3,3,1,2,3,5] => [{3},{4},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[5,3,2,3,1,3] => [3,1,3,2,3,5] => [{2},{4},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[5,3,2,3,3,1] => [1,3,3,2,3,5] => [{1},{4},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[5,3,3,1,2,3] => [3,2,1,3,3,5] => [{3},{2},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[5,3,3,1,3,2] => [2,3,1,3,3,5] => [{3},{1},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[5,3,3,2,1,3] => [3,1,2,3,3,5] => [{2},{3},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[5,3,3,2,3,1] => [1,3,2,3,3,5] => [{1},{3},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[5,3,3,3,1,2] => [2,1,3,3,3,5] => [{2},{1},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[5,3,3,3,2,1] => [1,2,3,3,3,5] => [{1},{2},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[1,2,3,3,3,6] => [6,3,3,3,2,1] => [{6},{5},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[1,2,3,3,6,3] => [3,6,3,3,2,1] => [{6},{5},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[1,2,3,6,3,3] => [3,3,6,3,2,1] => [{6},{5},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[1,2,6,3,3,3] => [3,3,3,6,2,1] => [{6},{5},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[1,3,2,3,3,6] => [6,3,3,2,3,1] => [{6},{4},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[1,3,2,3,6,3] => [3,6,3,2,3,1] => [{6},{4},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[1,3,2,6,3,3] => [3,3,6,2,3,1] => [{6},{4},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[1,3,3,2,3,6] => [6,3,2,3,3,1] => [{6},{3},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[1,3,3,2,6,3] => [3,6,2,3,3,1] => [{6},{3},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[1,3,3,3,2,6] => [6,2,3,3,3,1] => [{6},{2},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[1,3,3,3,6,2] => [2,6,3,3,3,1] => [{6},{1},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[1,3,3,6,2,3] => [3,2,6,3,3,1] => [{6},{2},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[1,3,3,6,3,2] => [2,3,6,3,3,1] => [{6},{1},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[1,3,6,2,3,3] => [3,3,2,6,3,1] => [{6},{3},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[1,3,6,3,2,3] => [3,2,3,6,3,1] => [{6},{2},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[1,3,6,3,3,2] => [2,3,3,6,3,1] => [{6},{1},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[1,6,2,3,3,3] => [3,3,3,2,6,1] => [{6},{4},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[1,6,3,2,3,3] => [3,3,2,3,6,1] => [{6},{3},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[1,6,3,3,2,3] => [3,2,3,3,6,1] => [{6},{2},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[1,6,3,3,3,2] => [2,3,3,3,6,1] => [{6},{1},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,3,6] => [6,3,3,3,1,2] => [{5},{6},{2,3,4},{1}] => {{1},{2,3,4},{5},{6}}
[2,1,3,3,6,3] => [3,6,3,3,1,2] => [{5},{6},{1,3,4},{2}] => {{1,3,4},{2},{5},{6}}
[2,1,3,6,3,3] => [3,3,6,3,1,2] => [{5},{6},{1,2,4},{3}] => {{1,2,4},{3},{5},{6}}
[2,1,6,3,3,3] => [3,3,3,6,1,2] => [{5},{6},{1,2,3},{4}] => {{1,2,3},{4},{5},{6}}
[2,3,1,3,3,6] => [6,3,3,1,3,2] => [{4},{6},{2,3,5},{1}] => {{1},{2,3,5},{4},{6}}
[2,3,1,3,6,3] => [3,6,3,1,3,2] => [{4},{6},{1,3,5},{2}] => {{1,3,5},{2},{4},{6}}
[2,3,1,6,3,3] => [3,3,6,1,3,2] => [{4},{6},{1,2,5},{3}] => {{1,2,5},{3},{4},{6}}
[2,3,3,1,3,6] => [6,3,1,3,3,2] => [{3},{6},{2,4,5},{1}] => {{1},{2,4,5},{3},{6}}
[2,3,3,1,6,3] => [3,6,1,3,3,2] => [{3},{6},{1,4,5},{2}] => {{1,4,5},{2},{3},{6}}
[2,3,3,3,1,6] => [6,1,3,3,3,2] => [{2},{6},{3,4,5},{1}] => {{1},{2},{3,4,5},{6}}
[2,3,3,3,6,1] => [1,6,3,3,3,2] => [{1},{6},{3,4,5},{2}] => {{1},{2},{3,4,5},{6}}
[2,3,3,6,1,3] => [3,1,6,3,3,2] => [{2},{6},{1,4,5},{3}] => {{1,4,5},{2},{3},{6}}
[2,3,3,6,3,1] => [1,3,6,3,3,2] => [{1},{6},{2,4,5},{3}] => {{1},{2,4,5},{3},{6}}
[2,3,6,1,3,3] => [3,3,1,6,3,2] => [{3},{6},{1,2,5},{4}] => {{1,2,5},{3},{4},{6}}
[2,3,6,3,1,3] => [3,1,3,6,3,2] => [{2},{6},{1,3,5},{4}] => {{1,3,5},{2},{4},{6}}
[2,3,6,3,3,1] => [1,3,3,6,3,2] => [{1},{6},{2,3,5},{4}] => {{1},{2,3,5},{4},{6}}
[2,6,1,3,3,3] => [3,3,3,1,6,2] => [{4},{6},{1,2,3},{5}] => {{1,2,3},{4},{5},{6}}
[2,6,3,1,3,3] => [3,3,1,3,6,2] => [{3},{6},{1,2,4},{5}] => {{1,2,4},{3},{5},{6}}
[2,6,3,3,1,3] => [3,1,3,3,6,2] => [{2},{6},{1,3,4},{5}] => {{1,3,4},{2},{5},{6}}
[2,6,3,3,3,1] => [1,3,3,3,6,2] => [{1},{6},{2,3,4},{5}] => {{1},{2,3,4},{5},{6}}
[3,1,2,3,3,6] => [6,3,3,2,1,3] => [{5},{4},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,1,2,3,6,3] => [3,6,3,2,1,3] => [{5},{4},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,1,2,6,3,3] => [3,3,6,2,1,3] => [{5},{4},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,1,3,2,3,6] => [6,3,2,3,1,3] => [{5},{3},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,1,3,2,6,3] => [3,6,2,3,1,3] => [{5},{3},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,1,3,3,2,6] => [6,2,3,3,1,3] => [{5},{2},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,1,3,3,6,2] => [2,6,3,3,1,3] => [{5},{1},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,1,3,6,2,3] => [3,2,6,3,1,3] => [{5},{2},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,1,3,6,3,2] => [2,3,6,3,1,3] => [{5},{1},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,1,6,2,3,3] => [3,3,2,6,1,3] => [{5},{3},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,1,6,3,2,3] => [3,2,3,6,1,3] => [{5},{2},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,1,6,3,3,2] => [2,3,3,6,1,3] => [{5},{1},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,3,6] => [6,3,3,1,2,3] => [{4},{5},{2,3,6},{1}] => {{1},{2,3,6},{4},{5}}
[3,2,1,3,6,3] => [3,6,3,1,2,3] => [{4},{5},{1,3,6},{2}] => {{1,3,6},{2},{4},{5}}
[3,2,1,6,3,3] => [3,3,6,1,2,3] => [{4},{5},{1,2,6},{3}] => {{1,2,6},{3},{4},{5}}
[3,2,3,1,3,6] => [6,3,1,3,2,3] => [{3},{5},{2,4,6},{1}] => {{1},{2,4,6},{3},{5}}
[3,2,3,1,6,3] => [3,6,1,3,2,3] => [{3},{5},{1,4,6},{2}] => {{1,4,6},{2},{3},{5}}
[3,2,3,3,1,6] => [6,1,3,3,2,3] => [{2},{5},{3,4,6},{1}] => {{1},{2},{3,4,6},{5}}
[3,2,3,3,6,1] => [1,6,3,3,2,3] => [{1},{5},{3,4,6},{2}] => {{1},{2},{3,4,6},{5}}
[3,2,3,6,1,3] => [3,1,6,3,2,3] => [{2},{5},{1,4,6},{3}] => {{1,4,6},{2},{3},{5}}
[3,2,3,6,3,1] => [1,3,6,3,2,3] => [{1},{5},{2,4,6},{3}] => {{1},{2,4,6},{3},{5}}
[3,2,6,1,3,3] => [3,3,1,6,2,3] => [{3},{5},{1,2,6},{4}] => {{1,2,6},{3},{4},{5}}
[3,2,6,3,1,3] => [3,1,3,6,2,3] => [{2},{5},{1,3,6},{4}] => {{1,3,6},{2},{4},{5}}
[3,2,6,3,3,1] => [1,3,3,6,2,3] => [{1},{5},{2,3,6},{4}] => {{1},{2,3,6},{4},{5}}
[3,3,1,2,3,6] => [6,3,2,1,3,3] => [{4},{3},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,1,2,6,3] => [3,6,2,1,3,3] => [{4},{3},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,1,3,2,6] => [6,2,3,1,3,3] => [{4},{2},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,1,3,6,2] => [2,6,3,1,3,3] => [{4},{1},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,1,6,2,3] => [3,2,6,1,3,3] => [{4},{2},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,1,6,3,2] => [2,3,6,1,3,3] => [{4},{1},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,3,6] => [6,3,1,2,3,3] => [{3},{4},{2,5,6},{1}] => {{1},{2,5,6},{3},{4}}
[3,3,2,1,6,3] => [3,6,1,2,3,3] => [{3},{4},{1,5,6},{2}] => {{1,5,6},{2},{3},{4}}
[3,3,2,3,1,6] => [6,1,3,2,3,3] => [{2},{4},{3,5,6},{1}] => {{1},{2},{3,5,6},{4}}
[3,3,2,3,6,1] => [1,6,3,2,3,3] => [{1},{4},{3,5,6},{2}] => {{1},{2},{3,5,6},{4}}
[3,3,2,6,1,3] => [3,1,6,2,3,3] => [{2},{4},{1,5,6},{3}] => {{1,5,6},{2},{3},{4}}
[3,3,2,6,3,1] => [1,3,6,2,3,3] => [{1},{4},{2,5,6},{3}] => {{1},{2,5,6},{3},{4}}
[3,3,3,1,2,6] => [6,2,1,3,3,3] => [{3},{2},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,1,6,2] => [2,6,1,3,3,3] => [{3},{1},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,1,6] => [6,1,2,3,3,3] => [{2},{3},{4,5,6},{1}] => {{1},{2},{3},{4,5,6}}
[3,3,3,2,6,1] => [1,6,2,3,3,3] => [{1},{3},{4,5,6},{2}] => {{1},{2},{3},{4,5,6}}
[3,3,3,6,1,2] => [2,1,6,3,3,3] => [{2},{1},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,3,6,2,1] => [1,2,6,3,3,3] => [{1},{2},{4,5,6},{3}] => {{1},{2},{3},{4,5,6}}
[3,3,6,1,2,3] => [3,2,1,6,3,3] => [{3},{2},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,6,1,3,2] => [2,3,1,6,3,3] => [{3},{1},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,6,2,1,3] => [3,1,2,6,3,3] => [{2},{3},{1,5,6},{4}] => {{1,5,6},{2},{3},{4}}
[3,3,6,2,3,1] => [1,3,2,6,3,3] => [{1},{3},{2,5,6},{4}] => {{1},{2,5,6},{3},{4}}
[3,3,6,3,1,2] => [2,1,3,6,3,3] => [{2},{1},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,3,6,3,2,1] => [1,2,3,6,3,3] => [{1},{2},{3,5,6},{4}] => {{1},{2},{3,5,6},{4}}
[3,6,1,2,3,3] => [3,3,2,1,6,3] => [{4},{3},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,6,1,3,2,3] => [3,2,3,1,6,3] => [{4},{2},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,6,1,3,3,2] => [2,3,3,1,6,3] => [{4},{1},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,6,2,1,3,3] => [3,3,1,2,6,3] => [{3},{4},{1,2,6},{5}] => {{1,2,6},{3},{4},{5}}
[3,6,2,3,1,3] => [3,1,3,2,6,3] => [{2},{4},{1,3,6},{5}] => {{1,3,6},{2},{4},{5}}
[3,6,2,3,3,1] => [1,3,3,2,6,3] => [{1},{4},{2,3,6},{5}] => {{1},{2,3,6},{4},{5}}
[3,6,3,1,2,3] => [3,2,1,3,6,3] => [{3},{2},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,6,3,1,3,2] => [2,3,1,3,6,3] => [{3},{1},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,6,3,2,1,3] => [3,1,2,3,6,3] => [{2},{3},{1,4,6},{5}] => {{1,4,6},{2},{3},{5}}
[3,6,3,2,3,1] => [1,3,2,3,6,3] => [{1},{3},{2,4,6},{5}] => {{1},{2,4,6},{3},{5}}
[3,6,3,3,1,2] => [2,1,3,3,6,3] => [{2},{1},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[3,6,3,3,2,1] => [1,2,3,3,6,3] => [{1},{2},{3,4,6},{5}] => {{1},{2},{3,4,6},{5}}
[6,1,2,3,3,3] => [3,3,3,2,1,6] => [{5},{4},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[6,1,3,2,3,3] => [3,3,2,3,1,6] => [{5},{3},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[6,1,3,3,2,3] => [3,2,3,3,1,6] => [{5},{2},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[6,1,3,3,3,2] => [2,3,3,3,1,6] => [{5},{1},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[6,2,1,3,3,3] => [3,3,3,1,2,6] => [{4},{5},{1,2,3},{6}] => {{1,2,3},{4},{5},{6}}
[6,2,3,1,3,3] => [3,3,1,3,2,6] => [{3},{5},{1,2,4},{6}] => {{1,2,4},{3},{5},{6}}
[6,2,3,3,1,3] => [3,1,3,3,2,6] => [{2},{5},{1,3,4},{6}] => {{1,3,4},{2},{5},{6}}
[6,2,3,3,3,1] => [1,3,3,3,2,6] => [{1},{5},{2,3,4},{6}] => {{1},{2,3,4},{5},{6}}
[6,3,1,2,3,3] => [3,3,2,1,3,6] => [{4},{3},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[6,3,1,3,2,3] => [3,2,3,1,3,6] => [{4},{2},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[6,3,1,3,3,2] => [2,3,3,1,3,6] => [{4},{1},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[6,3,2,1,3,3] => [3,3,1,2,3,6] => [{3},{4},{1,2,5},{6}] => {{1,2,5},{3},{4},{6}}
[6,3,2,3,1,3] => [3,1,3,2,3,6] => [{2},{4},{1,3,5},{6}] => {{1,3,5},{2},{4},{6}}
[6,3,2,3,3,1] => [1,3,3,2,3,6] => [{1},{4},{2,3,5},{6}] => {{1},{2,3,5},{4},{6}}
[6,3,3,1,2,3] => [3,2,1,3,3,6] => [{3},{2},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[6,3,3,1,3,2] => [2,3,1,3,3,6] => [{3},{1},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[6,3,3,2,1,3] => [3,1,2,3,3,6] => [{2},{3},{1,4,5},{6}] => {{1,4,5},{2},{3},{6}}
[6,3,3,2,3,1] => [1,3,2,3,3,6] => [{1},{3},{2,4,5},{6}] => {{1},{2,4,5},{3},{6}}
[6,3,3,3,1,2] => [2,1,3,3,3,6] => [{2},{1},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[6,3,3,3,2,1] => [1,2,3,3,3,6] => [{1},{2},{3,4,5},{6}] => {{1},{2},{3,4,5},{6}}
[1,2,3,3,4,4] => [4,4,3,3,2,1] => [{6},{5},{3,4},{1,2}] => {{1,2},{3,4},{5},{6}}
[1,2,3,4,3,4] => [4,3,4,3,2,1] => [{6},{5},{2,4},{1,3}] => {{1,3},{2,4},{5},{6}}
[1,2,3,4,4,3] => [3,4,4,3,2,1] => [{6},{5},{1,4},{2,3}] => {{1,4},{2,3},{5},{6}}
[1,2,4,3,3,4] => [4,3,3,4,2,1] => [{6},{5},{2,3},{1,4}] => {{1,4},{2,3},{5},{6}}
[1,2,4,3,4,3] => [3,4,3,4,2,1] => [{6},{5},{1,3},{2,4}] => {{1,3},{2,4},{5},{6}}
[1,2,4,4,3,3] => [3,3,4,4,2,1] => [{6},{5},{1,2},{3,4}] => {{1,2},{3,4},{5},{6}}
[1,3,2,3,4,4] => [4,4,3,2,3,1] => [{6},{4},{3,5},{1,2}] => {{1,2},{3,5},{4},{6}}
[1,3,2,4,3,4] => [4,3,4,2,3,1] => [{6},{4},{2,5},{1,3}] => {{1,3},{2,5},{4},{6}}
[1,3,2,4,4,3] => [3,4,4,2,3,1] => [{6},{4},{1,5},{2,3}] => {{1,5},{2,3},{4},{6}}
[1,3,3,2,4,4] => [4,4,2,3,3,1] => [{6},{3},{4,5},{1,2}] => {{1,2},{3},{4,5},{6}}
[1,3,3,4,2,4] => [4,2,4,3,3,1] => [{6},{2},{4,5},{1,3}] => {{1,3},{2},{4,5},{6}}
[1,3,3,4,4,2] => [2,4,4,3,3,1] => [{6},{1},{4,5},{2,3}] => {{1},{2,3},{4,5},{6}}
[1,3,4,2,3,4] => [4,3,2,4,3,1] => [{6},{3},{2,5},{1,4}] => {{1,4},{2,5},{3},{6}}
[1,3,4,2,4,3] => [3,4,2,4,3,1] => [{6},{3},{1,5},{2,4}] => {{1,5},{2,4},{3},{6}}
[1,3,4,3,2,4] => [4,2,3,4,3,1] => [{6},{2},{3,5},{1,4}] => {{1,4},{2},{3,5},{6}}
[1,3,4,3,4,2] => [2,4,3,4,3,1] => [{6},{1},{3,5},{2,4}] => {{1},{2,4},{3,5},{6}}
[1,3,4,4,2,3] => [3,2,4,4,3,1] => [{6},{2},{1,5},{3,4}] => {{1,5},{2},{3,4},{6}}
[1,3,4,4,3,2] => [2,3,4,4,3,1] => [{6},{1},{2,5},{3,4}] => {{1},{2,5},{3,4},{6}}
[1,4,2,3,3,4] => [4,3,3,2,4,1] => [{6},{4},{2,3},{1,5}] => {{1,5},{2,3},{4},{6}}
[1,4,2,3,4,3] => [3,4,3,2,4,1] => [{6},{4},{1,3},{2,5}] => {{1,3},{2,5},{4},{6}}
[1,4,2,4,3,3] => [3,3,4,2,4,1] => [{6},{4},{1,2},{3,5}] => {{1,2},{3,5},{4},{6}}
[1,4,3,2,3,4] => [4,3,2,3,4,1] => [{6},{3},{2,4},{1,5}] => {{1,5},{2,4},{3},{6}}
[1,4,3,2,4,3] => [3,4,2,3,4,1] => [{6},{3},{1,4},{2,5}] => {{1,4},{2,5},{3},{6}}
[1,4,3,3,2,4] => [4,2,3,3,4,1] => [{6},{2},{3,4},{1,5}] => {{1,5},{2},{3,4},{6}}
[1,4,3,3,4,2] => [2,4,3,3,4,1] => [{6},{1},{3,4},{2,5}] => {{1},{2,5},{3,4},{6}}
[1,4,3,4,2,3] => [3,2,4,3,4,1] => [{6},{2},{1,4},{3,5}] => {{1,4},{2},{3,5},{6}}
[1,4,3,4,3,2] => [2,3,4,3,4,1] => [{6},{1},{2,4},{3,5}] => {{1},{2,4},{3,5},{6}}
[1,4,4,2,3,3] => [3,3,2,4,4,1] => [{6},{3},{1,2},{4,5}] => {{1,2},{3},{4,5},{6}}
[1,4,4,3,2,3] => [3,2,3,4,4,1] => [{6},{2},{1,3},{4,5}] => {{1,3},{2},{4,5},{6}}
[1,4,4,3,3,2] => [2,3,3,4,4,1] => [{6},{1},{2,3},{4,5}] => {{1},{2,3},{4,5},{6}}
[2,1,3,3,4,4] => [4,4,3,3,1,2] => [{5},{6},{3,4},{1,2}] => {{1,2},{3,4},{5},{6}}
[2,1,3,4,3,4] => [4,3,4,3,1,2] => [{5},{6},{2,4},{1,3}] => {{1,3},{2,4},{5},{6}}
[2,1,3,4,4,3] => [3,4,4,3,1,2] => [{5},{6},{1,4},{2,3}] => {{1,4},{2,3},{5},{6}}
[2,1,4,3,3,4] => [4,3,3,4,1,2] => [{5},{6},{2,3},{1,4}] => {{1,4},{2,3},{5},{6}}
[2,1,4,3,4,3] => [3,4,3,4,1,2] => [{5},{6},{1,3},{2,4}] => {{1,3},{2,4},{5},{6}}
[2,1,4,4,3,3] => [3,3,4,4,1,2] => [{5},{6},{1,2},{3,4}] => {{1,2},{3,4},{5},{6}}
[2,3,1,3,4,4] => [4,4,3,1,3,2] => [{4},{6},{3,5},{1,2}] => {{1,2},{3,5},{4},{6}}
[2,3,1,4,3,4] => [4,3,4,1,3,2] => [{4},{6},{2,5},{1,3}] => {{1,3},{2,5},{4},{6}}
[2,3,1,4,4,3] => [3,4,4,1,3,2] => [{4},{6},{1,5},{2,3}] => {{1,5},{2,3},{4},{6}}
[2,3,3,1,4,4] => [4,4,1,3,3,2] => [{3},{6},{4,5},{1,2}] => {{1,2},{3},{4,5},{6}}
[2,3,3,4,1,4] => [4,1,4,3,3,2] => [{2},{6},{4,5},{1,3}] => {{1,3},{2},{4,5},{6}}
[2,3,3,4,4,1] => [1,4,4,3,3,2] => [{1},{6},{4,5},{2,3}] => {{1},{2,3},{4,5},{6}}
[2,3,4,1,3,4] => [4,3,1,4,3,2] => [{3},{6},{2,5},{1,4}] => {{1,4},{2,5},{3},{6}}
[2,3,4,1,4,3] => [3,4,1,4,3,2] => [{3},{6},{1,5},{2,4}] => {{1,5},{2,4},{3},{6}}
[2,3,4,3,1,4] => [4,1,3,4,3,2] => [{2},{6},{3,5},{1,4}] => {{1,4},{2},{3,5},{6}}
[2,3,4,3,4,1] => [1,4,3,4,3,2] => [{1},{6},{3,5},{2,4}] => {{1},{2,4},{3,5},{6}}
[2,3,4,4,1,3] => [3,1,4,4,3,2] => [{2},{6},{1,5},{3,4}] => {{1,5},{2},{3,4},{6}}
[2,3,4,4,3,1] => [1,3,4,4,3,2] => [{1},{6},{2,5},{3,4}] => {{1},{2,5},{3,4},{6}}
[2,4,1,3,3,4] => [4,3,3,1,4,2] => [{4},{6},{2,3},{1,5}] => {{1,5},{2,3},{4},{6}}
[2,4,1,3,4,3] => [3,4,3,1,4,2] => [{4},{6},{1,3},{2,5}] => {{1,3},{2,5},{4},{6}}
[2,4,1,4,3,3] => [3,3,4,1,4,2] => [{4},{6},{1,2},{3,5}] => {{1,2},{3,5},{4},{6}}
[2,4,3,1,3,4] => [4,3,1,3,4,2] => [{3},{6},{2,4},{1,5}] => {{1,5},{2,4},{3},{6}}
[2,4,3,1,4,3] => [3,4,1,3,4,2] => [{3},{6},{1,4},{2,5}] => {{1,4},{2,5},{3},{6}}
[2,4,3,3,1,4] => [4,1,3,3,4,2] => [{2},{6},{3,4},{1,5}] => {{1,5},{2},{3,4},{6}}
[2,4,3,3,4,1] => [1,4,3,3,4,2] => [{1},{6},{3,4},{2,5}] => {{1},{2,5},{3,4},{6}}
[2,4,3,4,1,3] => [3,1,4,3,4,2] => [{2},{6},{1,4},{3,5}] => {{1,4},{2},{3,5},{6}}
[2,4,3,4,3,1] => [1,3,4,3,4,2] => [{1},{6},{2,4},{3,5}] => {{1},{2,4},{3,5},{6}}
[2,4,4,1,3,3] => [3,3,1,4,4,2] => [{3},{6},{1,2},{4,5}] => {{1,2},{3},{4,5},{6}}
[2,4,4,3,1,3] => [3,1,3,4,4,2] => [{2},{6},{1,3},{4,5}] => {{1,3},{2},{4,5},{6}}
[2,4,4,3,3,1] => [1,3,3,4,4,2] => [{1},{6},{2,3},{4,5}] => {{1},{2,3},{4,5},{6}}
[3,1,2,3,4,4] => [4,4,3,2,1,3] => [{5},{4},{3,6},{1,2}] => {{1,2},{3,6},{4},{5}}
[3,1,2,4,3,4] => [4,3,4,2,1,3] => [{5},{4},{2,6},{1,3}] => {{1,3},{2,6},{4},{5}}
[3,1,2,4,4,3] => [3,4,4,2,1,3] => [{5},{4},{1,6},{2,3}] => {{1,6},{2,3},{4},{5}}
[3,1,3,2,4,4] => [4,4,2,3,1,3] => [{5},{3},{4,6},{1,2}] => {{1,2},{3},{4,6},{5}}
[3,1,3,4,2,4] => [4,2,4,3,1,3] => [{5},{2},{4,6},{1,3}] => {{1,3},{2},{4,6},{5}}
[3,1,3,4,4,2] => [2,4,4,3,1,3] => [{5},{1},{4,6},{2,3}] => {{1},{2,3},{4,6},{5}}
[3,1,4,2,3,4] => [4,3,2,4,1,3] => [{5},{3},{2,6},{1,4}] => {{1,4},{2,6},{3},{5}}
[3,1,4,2,4,3] => [3,4,2,4,1,3] => [{5},{3},{1,6},{2,4}] => {{1,6},{2,4},{3},{5}}
[3,1,4,3,2,4] => [4,2,3,4,1,3] => [{5},{2},{3,6},{1,4}] => {{1,4},{2},{3,6},{5}}
[3,1,4,3,4,2] => [2,4,3,4,1,3] => [{5},{1},{3,6},{2,4}] => {{1},{2,4},{3,6},{5}}
[3,1,4,4,2,3] => [3,2,4,4,1,3] => [{5},{2},{1,6},{3,4}] => {{1,6},{2},{3,4},{5}}
[3,1,4,4,3,2] => [2,3,4,4,1,3] => [{5},{1},{2,6},{3,4}] => {{1},{2,6},{3,4},{5}}
[3,2,1,3,4,4] => [4,4,3,1,2,3] => [{4},{5},{3,6},{1,2}] => {{1,2},{3,6},{4},{5}}
[3,2,1,4,3,4] => [4,3,4,1,2,3] => [{4},{5},{2,6},{1,3}] => {{1,3},{2,6},{4},{5}}
[3,2,1,4,4,3] => [3,4,4,1,2,3] => [{4},{5},{1,6},{2,3}] => {{1,6},{2,3},{4},{5}}
[3,2,3,1,4,4] => [4,4,1,3,2,3] => [{3},{5},{4,6},{1,2}] => {{1,2},{3},{4,6},{5}}
[3,2,3,4,1,4] => [4,1,4,3,2,3] => [{2},{5},{4,6},{1,3}] => {{1,3},{2},{4,6},{5}}
[3,2,3,4,4,1] => [1,4,4,3,2,3] => [{1},{5},{4,6},{2,3}] => {{1},{2,3},{4,6},{5}}
[3,2,4,1,3,4] => [4,3,1,4,2,3] => [{3},{5},{2,6},{1,4}] => {{1,4},{2,6},{3},{5}}
[3,2,4,1,4,3] => [3,4,1,4,2,3] => [{3},{5},{1,6},{2,4}] => {{1,6},{2,4},{3},{5}}
[3,2,4,3,1,4] => [4,1,3,4,2,3] => [{2},{5},{3,6},{1,4}] => {{1,4},{2},{3,6},{5}}
[3,2,4,3,4,1] => [1,4,3,4,2,3] => [{1},{5},{3,6},{2,4}] => {{1},{2,4},{3,6},{5}}
[3,2,4,4,1,3] => [3,1,4,4,2,3] => [{2},{5},{1,6},{3,4}] => {{1,6},{2},{3,4},{5}}
[3,2,4,4,3,1] => [1,3,4,4,2,3] => [{1},{5},{2,6},{3,4}] => {{1},{2,6},{3,4},{5}}
[3,3,1,2,4,4] => [4,4,2,1,3,3] => [{4},{3},{5,6},{1,2}] => {{1,2},{3},{4},{5,6}}
[3,3,1,4,2,4] => [4,2,4,1,3,3] => [{4},{2},{5,6},{1,3}] => {{1,3},{2},{4},{5,6}}
[3,3,1,4,4,2] => [2,4,4,1,3,3] => [{4},{1},{5,6},{2,3}] => {{1},{2,3},{4},{5,6}}
[3,3,2,1,4,4] => [4,4,1,2,3,3] => [{3},{4},{5,6},{1,2}] => {{1,2},{3},{4},{5,6}}
[3,3,2,4,1,4] => [4,1,4,2,3,3] => [{2},{4},{5,6},{1,3}] => {{1,3},{2},{4},{5,6}}
[3,3,2,4,4,1] => [1,4,4,2,3,3] => [{1},{4},{5,6},{2,3}] => {{1},{2,3},{4},{5,6}}
[3,3,4,1,2,4] => [4,2,1,4,3,3] => [{3},{2},{5,6},{1,4}] => {{1,4},{2},{3},{5,6}}
[3,3,4,1,4,2] => [2,4,1,4,3,3] => [{3},{1},{5,6},{2,4}] => {{1},{2,4},{3},{5,6}}
[3,3,4,2,1,4] => [4,1,2,4,3,3] => [{2},{3},{5,6},{1,4}] => {{1,4},{2},{3},{5,6}}
[3,3,4,2,4,1] => [1,4,2,4,3,3] => [{1},{3},{5,6},{2,4}] => {{1},{2,4},{3},{5,6}}
[3,3,4,4,1,2] => [2,1,4,4,3,3] => [{2},{1},{5,6},{3,4}] => {{1},{2},{3,4},{5,6}}
[3,3,4,4,2,1] => [1,2,4,4,3,3] => [{1},{2},{5,6},{3,4}] => {{1},{2},{3,4},{5,6}}
[3,4,1,2,3,4] => [4,3,2,1,4,3] => [{4},{3},{2,6},{1,5}] => {{1,5},{2,6},{3},{4}}
[3,4,1,2,4,3] => [3,4,2,1,4,3] => [{4},{3},{1,6},{2,5}] => {{1,6},{2,5},{3},{4}}
[3,4,1,3,2,4] => [4,2,3,1,4,3] => [{4},{2},{3,6},{1,5}] => {{1,5},{2},{3,6},{4}}
[3,4,1,3,4,2] => [2,4,3,1,4,3] => [{4},{1},{3,6},{2,5}] => {{1},{2,5},{3,6},{4}}
[3,4,1,4,2,3] => [3,2,4,1,4,3] => [{4},{2},{1,6},{3,5}] => {{1,6},{2},{3,5},{4}}
[3,4,1,4,3,2] => [2,3,4,1,4,3] => [{4},{1},{2,6},{3,5}] => {{1},{2,6},{3,5},{4}}
[3,4,2,1,3,4] => [4,3,1,2,4,3] => [{3},{4},{2,6},{1,5}] => {{1,5},{2,6},{3},{4}}
[3,4,2,1,4,3] => [3,4,1,2,4,3] => [{3},{4},{1,6},{2,5}] => {{1,6},{2,5},{3},{4}}
[3,4,2,3,1,4] => [4,1,3,2,4,3] => [{2},{4},{3,6},{1,5}] => {{1,5},{2},{3,6},{4}}
[3,4,2,3,4,1] => [1,4,3,2,4,3] => [{1},{4},{3,6},{2,5}] => {{1},{2,5},{3,6},{4}}
[3,4,2,4,1,3] => [3,1,4,2,4,3] => [{2},{4},{1,6},{3,5}] => {{1,6},{2},{3,5},{4}}
[3,4,2,4,3,1] => [1,3,4,2,4,3] => [{1},{4},{2,6},{3,5}] => {{1},{2,6},{3,5},{4}}
[3,4,3,1,2,4] => [4,2,1,3,4,3] => [{3},{2},{4,6},{1,5}] => {{1,5},{2},{3},{4,6}}
[3,4,3,1,4,2] => [2,4,1,3,4,3] => [{3},{1},{4,6},{2,5}] => {{1},{2,5},{3},{4,6}}
[3,4,3,2,1,4] => [4,1,2,3,4,3] => [{2},{3},{4,6},{1,5}] => {{1,5},{2},{3},{4,6}}
[3,4,3,2,4,1] => [1,4,2,3,4,3] => [{1},{3},{4,6},{2,5}] => {{1},{2,5},{3},{4,6}}
[3,4,3,4,1,2] => [2,1,4,3,4,3] => [{2},{1},{4,6},{3,5}] => {{1},{2},{3,5},{4,6}}
[3,4,3,4,2,1] => [1,2,4,3,4,3] => [{1},{2},{4,6},{3,5}] => {{1},{2},{3,5},{4,6}}
[3,4,4,1,2,3] => [3,2,1,4,4,3] => [{3},{2},{1,6},{4,5}] => {{1,6},{2},{3},{4,5}}
[3,4,4,1,3,2] => [2,3,1,4,4,3] => [{3},{1},{2,6},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,4,4,2,1,3] => [3,1,2,4,4,3] => [{2},{3},{1,6},{4,5}] => {{1,6},{2},{3},{4,5}}
[3,4,4,2,3,1] => [1,3,2,4,4,3] => [{1},{3},{2,6},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,4,4,3,1,2] => [2,1,3,4,4,3] => [{2},{1},{3,6},{4,5}] => {{1},{2},{3,6},{4,5}}
[3,4,4,3,2,1] => [1,2,3,4,4,3] => [{1},{2},{3,6},{4,5}] => {{1},{2},{3,6},{4,5}}
[4,1,2,3,3,4] => [4,3,3,2,1,4] => [{5},{4},{2,3},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,1,2,3,4,3] => [3,4,3,2,1,4] => [{5},{4},{1,3},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,1,2,4,3,3] => [3,3,4,2,1,4] => [{5},{4},{1,2},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,1,3,2,3,4] => [4,3,2,3,1,4] => [{5},{3},{2,4},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,1,3,2,4,3] => [3,4,2,3,1,4] => [{5},{3},{1,4},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,1,3,3,2,4] => [4,2,3,3,1,4] => [{5},{2},{3,4},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,1,3,3,4,2] => [2,4,3,3,1,4] => [{5},{1},{3,4},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,1,3,4,2,3] => [3,2,4,3,1,4] => [{5},{2},{1,4},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,1,3,4,3,2] => [2,3,4,3,1,4] => [{5},{1},{2,4},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,1,4,2,3,3] => [3,3,2,4,1,4] => [{5},{3},{1,2},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,1,4,3,2,3] => [3,2,3,4,1,4] => [{5},{2},{1,3},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,1,4,3,3,2] => [2,3,3,4,1,4] => [{5},{1},{2,3},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,2,1,3,3,4] => [4,3,3,1,2,4] => [{4},{5},{2,3},{1,6}] => {{1,6},{2,3},{4},{5}}
[4,2,1,3,4,3] => [3,4,3,1,2,4] => [{4},{5},{1,3},{2,6}] => {{1,3},{2,6},{4},{5}}
[4,2,1,4,3,3] => [3,3,4,1,2,4] => [{4},{5},{1,2},{3,6}] => {{1,2},{3,6},{4},{5}}
[4,2,3,1,3,4] => [4,3,1,3,2,4] => [{3},{5},{2,4},{1,6}] => {{1,6},{2,4},{3},{5}}
[4,2,3,1,4,3] => [3,4,1,3,2,4] => [{3},{5},{1,4},{2,6}] => {{1,4},{2,6},{3},{5}}
[4,2,3,3,1,4] => [4,1,3,3,2,4] => [{2},{5},{3,4},{1,6}] => {{1,6},{2},{3,4},{5}}
[4,2,3,3,4,1] => [1,4,3,3,2,4] => [{1},{5},{3,4},{2,6}] => {{1},{2,6},{3,4},{5}}
[4,2,3,4,1,3] => [3,1,4,3,2,4] => [{2},{5},{1,4},{3,6}] => {{1,4},{2},{3,6},{5}}
[4,2,3,4,3,1] => [1,3,4,3,2,4] => [{1},{5},{2,4},{3,6}] => {{1},{2,4},{3,6},{5}}
[4,2,4,1,3,3] => [3,3,1,4,2,4] => [{3},{5},{1,2},{4,6}] => {{1,2},{3},{4,6},{5}}
[4,2,4,3,1,3] => [3,1,3,4,2,4] => [{2},{5},{1,3},{4,6}] => {{1,3},{2},{4,6},{5}}
[4,2,4,3,3,1] => [1,3,3,4,2,4] => [{1},{5},{2,3},{4,6}] => {{1},{2,3},{4,6},{5}}
[4,3,1,2,3,4] => [4,3,2,1,3,4] => [{4},{3},{2,5},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,3,1,2,4,3] => [3,4,2,1,3,4] => [{4},{3},{1,5},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,3,1,3,2,4] => [4,2,3,1,3,4] => [{4},{2},{3,5},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,3,1,3,4,2] => [2,4,3,1,3,4] => [{4},{1},{3,5},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,3,1,4,2,3] => [3,2,4,1,3,4] => [{4},{2},{1,5},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,3,1,4,3,2] => [2,3,4,1,3,4] => [{4},{1},{2,5},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,3,2,1,3,4] => [4,3,1,2,3,4] => [{3},{4},{2,5},{1,6}] => {{1,6},{2,5},{3},{4}}
[4,3,2,1,4,3] => [3,4,1,2,3,4] => [{3},{4},{1,5},{2,6}] => {{1,5},{2,6},{3},{4}}
[4,3,2,3,1,4] => [4,1,3,2,3,4] => [{2},{4},{3,5},{1,6}] => {{1,6},{2},{3,5},{4}}
[4,3,2,3,4,1] => [1,4,3,2,3,4] => [{1},{4},{3,5},{2,6}] => {{1},{2,6},{3,5},{4}}
[4,3,2,4,1,3] => [3,1,4,2,3,4] => [{2},{4},{1,5},{3,6}] => {{1,5},{2},{3,6},{4}}
[4,3,2,4,3,1] => [1,3,4,2,3,4] => [{1},{4},{2,5},{3,6}] => {{1},{2,5},{3,6},{4}}
[4,3,3,1,2,4] => [4,2,1,3,3,4] => [{3},{2},{4,5},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,3,3,1,4,2] => [2,4,1,3,3,4] => [{3},{1},{4,5},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,3,3,2,1,4] => [4,1,2,3,3,4] => [{2},{3},{4,5},{1,6}] => {{1,6},{2},{3},{4,5}}
[4,3,3,2,4,1] => [1,4,2,3,3,4] => [{1},{3},{4,5},{2,6}] => {{1},{2,6},{3},{4,5}}
[4,3,3,4,1,2] => [2,1,4,3,3,4] => [{2},{1},{4,5},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,3,3,4,2,1] => [1,2,4,3,3,4] => [{1},{2},{4,5},{3,6}] => {{1},{2},{3,6},{4,5}}
[4,3,4,1,2,3] => [3,2,1,4,3,4] => [{3},{2},{1,5},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,3,4,1,3,2] => [2,3,1,4,3,4] => [{3},{1},{2,5},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,3,4,2,1,3] => [3,1,2,4,3,4] => [{2},{3},{1,5},{4,6}] => {{1,5},{2},{3},{4,6}}
[4,3,4,2,3,1] => [1,3,2,4,3,4] => [{1},{3},{2,5},{4,6}] => {{1},{2,5},{3},{4,6}}
[4,3,4,3,1,2] => [2,1,3,4,3,4] => [{2},{1},{3,5},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,3,4,3,2,1] => [1,2,3,4,3,4] => [{1},{2},{3,5},{4,6}] => {{1},{2},{3,5},{4,6}}
[4,4,1,2,3,3] => [3,3,2,1,4,4] => [{4},{3},{1,2},{5,6}] => {{1,2},{3},{4},{5,6}}
[4,4,1,3,2,3] => [3,2,3,1,4,4] => [{4},{2},{1,3},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,1,3,3,2] => [2,3,3,1,4,4] => [{4},{1},{2,3},{5,6}] => {{1},{2,3},{4},{5,6}}
[4,4,2,1,3,3] => [3,3,1,2,4,4] => [{3},{4},{1,2},{5,6}] => {{1,2},{3},{4},{5,6}}
[4,4,2,3,1,3] => [3,1,3,2,4,4] => [{2},{4},{1,3},{5,6}] => {{1,3},{2},{4},{5,6}}
[4,4,2,3,3,1] => [1,3,3,2,4,4] => [{1},{4},{2,3},{5,6}] => {{1},{2,3},{4},{5,6}}
[4,4,3,1,2,3] => [3,2,1,3,4,4] => [{3},{2},{1,4},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,3,1,3,2] => [2,3,1,3,4,4] => [{3},{1},{2,4},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,3,2,1,3] => [3,1,2,3,4,4] => [{2},{3},{1,4},{5,6}] => {{1,4},{2},{3},{5,6}}
[4,4,3,2,3,1] => [1,3,2,3,4,4] => [{1},{3},{2,4},{5,6}] => {{1},{2,4},{3},{5,6}}
[4,4,3,3,1,2] => [2,1,3,3,4,4] => [{2},{1},{3,4},{5,6}] => {{1},{2},{3,4},{5,6}}
[4,4,3,3,2,1] => [1,2,3,3,4,4] => [{1},{2},{3,4},{5,6}] => {{1},{2},{3,4},{5,6}}
[1,2,3,3,4,5] => [5,4,3,3,2,1] => [{6},{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,3,5,4] => [4,5,3,3,2,1] => [{6},{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,4,3,5] => [5,3,4,3,2,1] => [{6},{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,4,5,3] => [3,5,4,3,2,1] => [{6},{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,2,3,5,3,4] => [4,3,5,3,2,1] => [{6},{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,5,4,3] => [3,4,5,3,2,1] => [{6},{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,3,3,5] => [5,3,3,4,2,1] => [{6},{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,2,4,3,5,3] => [3,5,3,4,2,1] => [{6},{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,2,4,5,3,3] => [3,3,5,4,2,1] => [{6},{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,2,5,3,3,4] => [4,3,3,5,2,1] => [{6},{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,2,5,3,4,3] => [3,4,3,5,2,1] => [{6},{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,2,5,4,3,3] => [3,3,4,5,2,1] => [{6},{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,3,2,3,4,5] => [5,4,3,2,3,1] => [{6},{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,3,5,4] => [4,5,3,2,3,1] => [{6},{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,4,3,5] => [5,3,4,2,3,1] => [{6},{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,4,5,3] => [3,5,4,2,3,1] => [{6},{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,5,3,4] => [4,3,5,2,3,1] => [{6},{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,5,4,3] => [3,4,5,2,3,1] => [{6},{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,3,2,4,5] => [5,4,2,3,3,1] => [{6},{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,2,5,4] => [4,5,2,3,3,1] => [{6},{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,4,2,5] => [5,2,4,3,3,1] => [{6},{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,4,5,2] => [2,5,4,3,3,1] => [{6},{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,5,2,4] => [4,2,5,3,3,1] => [{6},{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,5,4,2] => [2,4,5,3,3,1] => [{6},{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,4,2,3,5] => [5,3,2,4,3,1] => [{6},{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,4,2,5,3] => [3,5,2,4,3,1] => [{6},{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,4,3,2,5] => [5,2,3,4,3,1] => [{6},{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,4,3,5,2] => [2,5,3,4,3,1] => [{6},{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,4,5,2,3] => [3,2,5,4,3,1] => [{6},{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,4,5,3,2] => [2,3,5,4,3,1] => [{6},{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,5,2,3,4] => [4,3,2,5,3,1] => [{6},{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,3,5,2,4,3] => [3,4,2,5,3,1] => [{6},{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,5,3,2,4] => [4,2,3,5,3,1] => [{6},{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,5,3,4,2] => [2,4,3,5,3,1] => [{6},{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,5,4,2,3] => [3,2,4,5,3,1] => [{6},{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,5,4,3,2] => [2,3,4,5,3,1] => [{6},{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,2,3,3,5] => [5,3,3,2,4,1] => [{6},{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,4,2,3,5,3] => [3,5,3,2,4,1] => [{6},{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,4,2,5,3,3] => [3,3,5,2,4,1] => [{6},{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,4,3,2,3,5] => [5,3,2,3,4,1] => [{6},{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,4,3,2,5,3] => [3,5,2,3,4,1] => [{6},{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,3,2,5] => [5,2,3,3,4,1] => [{6},{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,4,3,3,5,2] => [2,5,3,3,4,1] => [{6},{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,4,3,5,2,3] => [3,2,5,3,4,1] => [{6},{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,5,3,2] => [2,3,5,3,4,1] => [{6},{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,4,5,2,3,3] => [3,3,2,5,4,1] => [{6},{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,4,5,3,2,3] => [3,2,3,5,4,1] => [{6},{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,4,5,3,3,2] => [2,3,3,5,4,1] => [{6},{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,5,2,3,3,4] => [4,3,3,2,5,1] => [{6},{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,5,2,3,4,3] => [3,4,3,2,5,1] => [{6},{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,2,4,3,3] => [3,3,4,2,5,1] => [{6},{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,5,3,2,3,4] => [4,3,2,3,5,1] => [{6},{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,3,2,4,3] => [3,4,2,3,5,1] => [{6},{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,3,2,4] => [4,2,3,3,5,1] => [{6},{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,5,3,3,4,2] => [2,4,3,3,5,1] => [{6},{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,5,3,4,2,3] => [3,2,4,3,5,1] => [{6},{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,4,3,2] => [2,3,4,3,5,1] => [{6},{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,4,2,3,3] => [3,3,2,4,5,1] => [{6},{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[1,5,4,3,2,3] => [3,2,3,4,5,1] => [{6},{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,4,3,3,2] => [2,3,3,4,5,1] => [{6},{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,1,3,3,4,5] => [5,4,3,3,1,2] => [{5},{6},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,3,5,4] => [4,5,3,3,1,2] => [{5},{6},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,4,3,5] => [5,3,4,3,1,2] => [{5},{6},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,4,5,3] => [3,5,4,3,1,2] => [{5},{6},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,1,3,5,3,4] => [4,3,5,3,1,2] => [{5},{6},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,5,4,3] => [3,4,5,3,1,2] => [{5},{6},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,3,3,5] => [5,3,3,4,1,2] => [{5},{6},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,1,4,3,5,3] => [3,5,3,4,1,2] => [{5},{6},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,1,4,5,3,3] => [3,3,5,4,1,2] => [{5},{6},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,1,5,3,3,4] => [4,3,3,5,1,2] => [{5},{6},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,1,5,3,4,3] => [3,4,3,5,1,2] => [{5},{6},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,1,5,4,3,3] => [3,3,4,5,1,2] => [{5},{6},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,3,1,3,4,5] => [5,4,3,1,3,2] => [{4},{6},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,3,5,4] => [4,5,3,1,3,2] => [{4},{6},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,4,3,5] => [5,3,4,1,3,2] => [{4},{6},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,4,5,3] => [3,5,4,1,3,2] => [{4},{6},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,5,3,4] => [4,3,5,1,3,2] => [{4},{6},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,5,4,3] => [3,4,5,1,3,2] => [{4},{6},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,3,1,4,5] => [5,4,1,3,3,2] => [{3},{6},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,1,5,4] => [4,5,1,3,3,2] => [{3},{6},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,4,1,5] => [5,1,4,3,3,2] => [{2},{6},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,4,5,1] => [1,5,4,3,3,2] => [{1},{6},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,5,1,4] => [4,1,5,3,3,2] => [{2},{6},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,5,4,1] => [1,4,5,3,3,2] => [{1},{6},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,4,1,3,5] => [5,3,1,4,3,2] => [{3},{6},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,4,1,5,3] => [3,5,1,4,3,2] => [{3},{6},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,4,3,1,5] => [5,1,3,4,3,2] => [{2},{6},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,4,3,5,1] => [1,5,3,4,3,2] => [{1},{6},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,4,5,1,3] => [3,1,5,4,3,2] => [{2},{6},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,4,5,3,1] => [1,3,5,4,3,2] => [{1},{6},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,5,1,3,4] => [4,3,1,5,3,2] => [{3},{6},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,3,5,1,4,3] => [3,4,1,5,3,2] => [{3},{6},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,5,3,1,4] => [4,1,3,5,3,2] => [{2},{6},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,5,3,4,1] => [1,4,3,5,3,2] => [{1},{6},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,5,4,1,3] => [3,1,4,5,3,2] => [{2},{6},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,5,4,3,1] => [1,3,4,5,3,2] => [{1},{6},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,1,3,3,5] => [5,3,3,1,4,2] => [{4},{6},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,4,1,3,5,3] => [3,5,3,1,4,2] => [{4},{6},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,4,1,5,3,3] => [3,3,5,1,4,2] => [{4},{6},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,4,3,1,3,5] => [5,3,1,3,4,2] => [{3},{6},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,4,3,1,5,3] => [3,5,1,3,4,2] => [{3},{6},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,3,1,5] => [5,1,3,3,4,2] => [{2},{6},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,4,3,3,5,1] => [1,5,3,3,4,2] => [{1},{6},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,4,3,5,1,3] => [3,1,5,3,4,2] => [{2},{6},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,5,3,1] => [1,3,5,3,4,2] => [{1},{6},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,4,5,1,3,3] => [3,3,1,5,4,2] => [{3},{6},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,4,5,3,1,3] => [3,1,3,5,4,2] => [{2},{6},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,4,5,3,3,1] => [1,3,3,5,4,2] => [{1},{6},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,5,1,3,3,4] => [4,3,3,1,5,2] => [{4},{6},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,5,1,3,4,3] => [3,4,3,1,5,2] => [{4},{6},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,1,4,3,3] => [3,3,4,1,5,2] => [{4},{6},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,5,3,1,3,4] => [4,3,1,3,5,2] => [{3},{6},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,3,1,4,3] => [3,4,1,3,5,2] => [{3},{6},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,3,1,4] => [4,1,3,3,5,2] => [{2},{6},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,5,3,3,4,1] => [1,4,3,3,5,2] => [{1},{6},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,5,3,4,1,3] => [3,1,4,3,5,2] => [{2},{6},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,4,3,1] => [1,3,4,3,5,2] => [{1},{6},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,4,1,3,3] => [3,3,1,4,5,2] => [{3},{6},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,5,4,3,1,3] => [3,1,3,4,5,2] => [{2},{6},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,4,3,3,1] => [1,3,3,4,5,2] => [{1},{6},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,1,2,3,4,5] => [5,4,3,2,1,3] => [{5},{4},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,3,5,4] => [4,5,3,2,1,3] => [{5},{4},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,4,3,5] => [5,3,4,2,1,3] => [{5},{4},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,4,5,3] => [3,5,4,2,1,3] => [{5},{4},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,2,5,3,4] => [4,3,5,2,1,3] => [{5},{4},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,5,4,3] => [3,4,5,2,1,3] => [{5},{4},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,3,2,4,5] => [5,4,2,3,1,3] => [{5},{3},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,2,5,4] => [4,5,2,3,1,3] => [{5},{3},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,4,2,5] => [5,2,4,3,1,3] => [{5},{2},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,4,5,2] => [2,5,4,3,1,3] => [{5},{1},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,5,2,4] => [4,2,5,3,1,3] => [{5},{2},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,5,4,2] => [2,4,5,3,1,3] => [{5},{1},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,4,2,3,5] => [5,3,2,4,1,3] => [{5},{3},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,4,2,5,3] => [3,5,2,4,1,3] => [{5},{3},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,4,3,2,5] => [5,2,3,4,1,3] => [{5},{2},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,4,3,5,2] => [2,5,3,4,1,3] => [{5},{1},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,4,5,2,3] => [3,2,5,4,1,3] => [{5},{2},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,4,5,3,2] => [2,3,5,4,1,3] => [{5},{1},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,5,2,3,4] => [4,3,2,5,1,3] => [{5},{3},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,1,5,2,4,3] => [3,4,2,5,1,3] => [{5},{3},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,5,3,2,4] => [4,2,3,5,1,3] => [{5},{2},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,5,3,4,2] => [2,4,3,5,1,3] => [{5},{1},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,5,4,2,3] => [3,2,4,5,1,3] => [{5},{2},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,5,4,3,2] => [2,3,4,5,1,3] => [{5},{1},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,3,4,5] => [5,4,3,1,2,3] => [{4},{5},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,3,5,4] => [4,5,3,1,2,3] => [{4},{5},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,4,3,5] => [5,3,4,1,2,3] => [{4},{5},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,4,5,3] => [3,5,4,1,2,3] => [{4},{5},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,1,5,3,4] => [4,3,5,1,2,3] => [{4},{5},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,5,4,3] => [3,4,5,1,2,3] => [{4},{5},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,3,1,4,5] => [5,4,1,3,2,3] => [{3},{5},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,1,5,4] => [4,5,1,3,2,3] => [{3},{5},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,4,1,5] => [5,1,4,3,2,3] => [{2},{5},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,4,5,1] => [1,5,4,3,2,3] => [{1},{5},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,5,1,4] => [4,1,5,3,2,3] => [{2},{5},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,5,4,1] => [1,4,5,3,2,3] => [{1},{5},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,4,1,3,5] => [5,3,1,4,2,3] => [{3},{5},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,4,1,5,3] => [3,5,1,4,2,3] => [{3},{5},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,4,3,1,5] => [5,1,3,4,2,3] => [{2},{5},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,4,3,5,1] => [1,5,3,4,2,3] => [{1},{5},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,4,5,1,3] => [3,1,5,4,2,3] => [{2},{5},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,4,5,3,1] => [1,3,5,4,2,3] => [{1},{5},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,5,1,3,4] => [4,3,1,5,2,3] => [{3},{5},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,5,1,4,3] => [3,4,1,5,2,3] => [{3},{5},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,5,3,1,4] => [4,1,3,5,2,3] => [{2},{5},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,5,3,4,1] => [1,4,3,5,2,3] => [{1},{5},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,5,4,1,3] => [3,1,4,5,2,3] => [{2},{5},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,5,4,3,1] => [1,3,4,5,2,3] => [{1},{5},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,3,1,2,4,5] => [5,4,2,1,3,3] => [{4},{3},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,2,5,4] => [4,5,2,1,3,3] => [{4},{3},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,4,2,5] => [5,2,4,1,3,3] => [{4},{2},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,4,5,2] => [2,5,4,1,3,3] => [{4},{1},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,5,2,4] => [4,2,5,1,3,3] => [{4},{2},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,5,4,2] => [2,4,5,1,3,3] => [{4},{1},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,4,5] => [5,4,1,2,3,3] => [{3},{4},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,5,4] => [4,5,1,2,3,3] => [{3},{4},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,4,1,5] => [5,1,4,2,3,3] => [{2},{4},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,4,5,1] => [1,5,4,2,3,3] => [{1},{4},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,5,1,4] => [4,1,5,2,3,3] => [{2},{4},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,5,4,1] => [1,4,5,2,3,3] => [{1},{4},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,1,2,5] => [5,2,1,4,3,3] => [{3},{2},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,1,5,2] => [2,5,1,4,3,3] => [{3},{1},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,2,1,5] => [5,1,2,4,3,3] => [{2},{3},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,2,5,1] => [1,5,2,4,3,3] => [{1},{3},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,5,1,2] => [2,1,5,4,3,3] => [{2},{1},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,5,2,1] => [1,2,5,4,3,3] => [{1},{2},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,1,2,4] => [4,2,1,5,3,3] => [{3},{2},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,1,4,2] => [2,4,1,5,3,3] => [{3},{1},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,2,1,4] => [4,1,2,5,3,3] => [{2},{3},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,2,4,1] => [1,4,2,5,3,3] => [{1},{3},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,4,1,2] => [2,1,4,5,3,3] => [{2},{1},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,4,2,1] => [1,2,4,5,3,3] => [{1},{2},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,4,1,2,3,5] => [5,3,2,1,4,3] => [{4},{3},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,4,1,2,5,3] => [3,5,2,1,4,3] => [{4},{3},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,4,1,3,2,5] => [5,2,3,1,4,3] => [{4},{2},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,4,1,3,5,2] => [2,5,3,1,4,3] => [{4},{1},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,4,1,5,2,3] => [3,2,5,1,4,3] => [{4},{2},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,4,1,5,3,2] => [2,3,5,1,4,3] => [{4},{1},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,4,2,1,3,5] => [5,3,1,2,4,3] => [{3},{4},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,4,2,1,5,3] => [3,5,1,2,4,3] => [{3},{4},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,4,2,3,1,5] => [5,1,3,2,4,3] => [{2},{4},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,4,2,3,5,1] => [1,5,3,2,4,3] => [{1},{4},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,4,2,5,1,3] => [3,1,5,2,4,3] => [{2},{4},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,4,2,5,3,1] => [1,3,5,2,4,3] => [{1},{4},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,4,3,1,2,5] => [5,2,1,3,4,3] => [{3},{2},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,1,5,2] => [2,5,1,3,4,3] => [{3},{1},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,2,1,5] => [5,1,2,3,4,3] => [{2},{3},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,2,5,1] => [1,5,2,3,4,3] => [{1},{3},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,5,1,2] => [2,1,5,3,4,3] => [{2},{1},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,5,2,1] => [1,2,5,3,4,3] => [{1},{2},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,4,5,1,2,3] => [3,2,1,5,4,3] => [{3},{2},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,4,5,1,3,2] => [2,3,1,5,4,3] => [{3},{1},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,4,5,2,1,3] => [3,1,2,5,4,3] => [{2},{3},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,4,5,2,3,1] => [1,3,2,5,4,3] => [{1},{3},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,4,5,3,1,2] => [2,1,3,5,4,3] => [{2},{1},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,4,5,3,2,1] => [1,2,3,5,4,3] => [{1},{2},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,5,1,2,3,4] => [4,3,2,1,5,3] => [{4},{3},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,1,2,4,3] => [3,4,2,1,5,3] => [{4},{3},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,1,3,2,4] => [4,2,3,1,5,3] => [{4},{2},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,5,1,3,4,2] => [2,4,3,1,5,3] => [{4},{1},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,5,1,4,2,3] => [3,2,4,1,5,3] => [{4},{2},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,1,4,3,2] => [2,3,4,1,5,3] => [{4},{1},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,2,1,3,4] => [4,3,1,2,5,3] => [{3},{4},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,2,1,4,3] => [3,4,1,2,5,3] => [{3},{4},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,2,3,1,4] => [4,1,3,2,5,3] => [{2},{4},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,5,2,3,4,1] => [1,4,3,2,5,3] => [{1},{4},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,5,2,4,1,3] => [3,1,4,2,5,3] => [{2},{4},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,2,4,3,1] => [1,3,4,2,5,3] => [{1},{4},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,3,1,2,4] => [4,2,1,3,5,3] => [{3},{2},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,1,4,2] => [2,4,1,3,5,3] => [{3},{1},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,2,1,4] => [4,1,2,3,5,3] => [{2},{3},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,2,4,1] => [1,4,2,3,5,3] => [{1},{3},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,4,1,2] => [2,1,4,3,5,3] => [{2},{1},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,4,2,1] => [1,2,4,3,5,3] => [{1},{2},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,5,4,1,2,3] => [3,2,1,4,5,3] => [{3},{2},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,4,1,3,2] => [2,3,1,4,5,3] => [{3},{1},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,4,2,1,3] => [3,1,2,4,5,3] => [{2},{3},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,5,4,2,3,1] => [1,3,2,4,5,3] => [{1},{3},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,5,4,3,1,2] => [2,1,3,4,5,3] => [{2},{1},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[3,5,4,3,2,1] => [1,2,3,4,5,3] => [{1},{2},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,3,3,5] => [5,3,3,2,1,4] => [{5},{4},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,1,2,3,5,3] => [3,5,3,2,1,4] => [{5},{4},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,1,2,5,3,3] => [3,3,5,2,1,4] => [{5},{4},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,1,3,2,3,5] => [5,3,2,3,1,4] => [{5},{3},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,1,3,2,5,3] => [3,5,2,3,1,4] => [{5},{3},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,3,2,5] => [5,2,3,3,1,4] => [{5},{2},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,1,3,3,5,2] => [2,5,3,3,1,4] => [{5},{1},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,1,3,5,2,3] => [3,2,5,3,1,4] => [{5},{2},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,5,3,2] => [2,3,5,3,1,4] => [{5},{1},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,1,5,2,3,3] => [3,3,2,5,1,4] => [{5},{3},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,1,5,3,2,3] => [3,2,3,5,1,4] => [{5},{2},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,1,5,3,3,2] => [2,3,3,5,1,4] => [{5},{1},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,2,1,3,3,5] => [5,3,3,1,2,4] => [{4},{5},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,2,1,3,5,3] => [3,5,3,1,2,4] => [{4},{5},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,2,1,5,3,3] => [3,3,5,1,2,4] => [{4},{5},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,2,3,1,3,5] => [5,3,1,3,2,4] => [{3},{5},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,2,3,1,5,3] => [3,5,1,3,2,4] => [{3},{5},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,3,1,5] => [5,1,3,3,2,4] => [{2},{5},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,2,3,3,5,1] => [1,5,3,3,2,4] => [{1},{5},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,2,3,5,1,3] => [3,1,5,3,2,4] => [{2},{5},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,5,3,1] => [1,3,5,3,2,4] => [{1},{5},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,2,5,1,3,3] => [3,3,1,5,2,4] => [{3},{5},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,2,5,3,1,3] => [3,1,3,5,2,4] => [{2},{5},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,2,5,3,3,1] => [1,3,3,5,2,4] => [{1},{5},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,3,1,2,3,5] => [5,3,2,1,3,4] => [{4},{3},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,3,1,2,5,3] => [3,5,2,1,3,4] => [{4},{3},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,3,1,3,2,5] => [5,2,3,1,3,4] => [{4},{2},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,3,1,3,5,2] => [2,5,3,1,3,4] => [{4},{1},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,3,1,5,2,3] => [3,2,5,1,3,4] => [{4},{2},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,3,1,5,3,2] => [2,3,5,1,3,4] => [{4},{1},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,3,2,1,3,5] => [5,3,1,2,3,4] => [{3},{4},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,3,2,1,5,3] => [3,5,1,2,3,4] => [{3},{4},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,3,2,3,1,5] => [5,1,3,2,3,4] => [{2},{4},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,3,2,3,5,1] => [1,5,3,2,3,4] => [{1},{4},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,3,2,5,1,3] => [3,1,5,2,3,4] => [{2},{4},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,3,2,5,3,1] => [1,3,5,2,3,4] => [{1},{4},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,3,3,1,2,5] => [5,2,1,3,3,4] => [{3},{2},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,1,5,2] => [2,5,1,3,3,4] => [{3},{1},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,2,1,5] => [5,1,2,3,3,4] => [{2},{3},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,2,5,1] => [1,5,2,3,3,4] => [{1},{3},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,5,1,2] => [2,1,5,3,3,4] => [{2},{1},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,5,2,1] => [1,2,5,3,3,4] => [{1},{2},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,3,5,1,2,3] => [3,2,1,5,3,4] => [{3},{2},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,3,5,1,3,2] => [2,3,1,5,3,4] => [{3},{1},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,5,2,1,3] => [3,1,2,5,3,4] => [{2},{3},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,3,5,2,3,1] => [1,3,2,5,3,4] => [{1},{3},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,5,3,1,2] => [2,1,3,5,3,4] => [{2},{1},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,3,5,3,2,1] => [1,2,3,5,3,4] => [{1},{2},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,5,1,2,3,3] => [3,3,2,1,5,4] => [{4},{3},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,5,1,3,2,3] => [3,2,3,1,5,4] => [{4},{2},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,1,3,3,2] => [2,3,3,1,5,4] => [{4},{1},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,5,2,1,3,3] => [3,3,1,2,5,4] => [{3},{4},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,5,2,3,1,3] => [3,1,3,2,5,4] => [{2},{4},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,5,2,3,3,1] => [1,3,3,2,5,4] => [{1},{4},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,5,3,1,2,3] => [3,2,1,3,5,4] => [{3},{2},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,3,1,3,2] => [2,3,1,3,5,4] => [{3},{1},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,3,2,1,3] => [3,1,2,3,5,4] => [{2},{3},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,5,3,2,3,1] => [1,3,2,3,5,4] => [{1},{3},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,5,3,3,1,2] => [2,1,3,3,5,4] => [{2},{1},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,5,3,3,2,1] => [1,2,3,3,5,4] => [{1},{2},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,1,2,3,3,4] => [4,3,3,2,1,5] => [{5},{4},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,1,2,3,4,3] => [3,4,3,2,1,5] => [{5},{4},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,2,4,3,3] => [3,3,4,2,1,5] => [{5},{4},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,1,3,2,3,4] => [4,3,2,3,1,5] => [{5},{3},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,3,2,4,3] => [3,4,2,3,1,5] => [{5},{3},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,3,2,4] => [4,2,3,3,1,5] => [{5},{2},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,1,3,3,4,2] => [2,4,3,3,1,5] => [{5},{1},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,1,3,4,2,3] => [3,2,4,3,1,5] => [{5},{2},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,4,3,2] => [2,3,4,3,1,5] => [{5},{1},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,4,2,3,3] => [3,3,2,4,1,5] => [{5},{3},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,1,4,3,2,3] => [3,2,3,4,1,5] => [{5},{2},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,4,3,3,2] => [2,3,3,4,1,5] => [{5},{1},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,1,3,3,4] => [4,3,3,1,2,5] => [{4},{5},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,1,3,4,3] => [3,4,3,1,2,5] => [{4},{5},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,1,4,3,3] => [3,3,4,1,2,5] => [{4},{5},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,3,1,3,4] => [4,3,1,3,2,5] => [{3},{5},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,3,1,4,3] => [3,4,1,3,2,5] => [{3},{5},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,3,1,4] => [4,1,3,3,2,5] => [{2},{5},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,3,3,4,1] => [1,4,3,3,2,5] => [{1},{5},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,3,4,1,3] => [3,1,4,3,2,5] => [{2},{5},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,4,3,1] => [1,3,4,3,2,5] => [{1},{5},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,4,1,3,3] => [3,3,1,4,2,5] => [{3},{5},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,4,3,1,3] => [3,1,3,4,2,5] => [{2},{5},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,4,3,3,1] => [1,3,3,4,2,5] => [{1},{5},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,1,2,3,4] => [4,3,2,1,3,5] => [{4},{3},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,1,2,4,3] => [3,4,2,1,3,5] => [{4},{3},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,1,3,2,4] => [4,2,3,1,3,5] => [{4},{2},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,3,1,3,4,2] => [2,4,3,1,3,5] => [{4},{1},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,3,1,4,2,3] => [3,2,4,1,3,5] => [{4},{2},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,1,4,3,2] => [2,3,4,1,3,5] => [{4},{1},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,2,1,3,4] => [4,3,1,2,3,5] => [{3},{4},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,2,1,4,3] => [3,4,1,2,3,5] => [{3},{4},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,2,3,1,4] => [4,1,3,2,3,5] => [{2},{4},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[5,3,2,3,4,1] => [1,4,3,2,3,5] => [{1},{4},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[5,3,2,4,1,3] => [3,1,4,2,3,5] => [{2},{4},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,2,4,3,1] => [1,3,4,2,3,5] => [{1},{4},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,3,1,2,4] => [4,2,1,3,3,5] => [{3},{2},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,1,4,2] => [2,4,1,3,3,5] => [{3},{1},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,2,1,4] => [4,1,2,3,3,5] => [{2},{3},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,2,4,1] => [1,4,2,3,3,5] => [{1},{3},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,4,1,2] => [2,1,4,3,3,5] => [{2},{1},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,4,2,1] => [1,2,4,3,3,5] => [{1},{2},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[5,3,4,1,2,3] => [3,2,1,4,3,5] => [{3},{2},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,4,1,3,2] => [2,3,1,4,3,5] => [{3},{1},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,4,2,1,3] => [3,1,2,4,3,5] => [{2},{3},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[5,3,4,2,3,1] => [1,3,2,4,3,5] => [{1},{3},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[5,3,4,3,1,2] => [2,1,3,4,3,5] => [{2},{1},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,3,4,3,2,1] => [1,2,3,4,3,5] => [{1},{2},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,1,2,3,3] => [3,3,2,1,4,5] => [{4},{3},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,1,3,2,3] => [3,2,3,1,4,5] => [{4},{2},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,1,3,3,2] => [2,3,3,1,4,5] => [{4},{1},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,2,1,3,3] => [3,3,1,2,4,5] => [{3},{4},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[5,4,2,3,1,3] => [3,1,3,2,4,5] => [{2},{4},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[5,4,2,3,3,1] => [1,3,3,2,4,5] => [{1},{4},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[5,4,3,1,2,3] => [3,2,1,3,4,5] => [{3},{2},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,3,1,3,2] => [2,3,1,3,4,5] => [{3},{1},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,3,2,1,3] => [3,1,2,3,4,5] => [{2},{3},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[5,4,3,2,3,1] => [1,3,2,3,4,5] => [{1},{3},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[5,4,3,3,1,2] => [2,1,3,3,4,5] => [{2},{1},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,3,3,2,1] => [1,2,3,3,4,5] => [{1},{2},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,3,4,6] => [6,4,3,3,2,1] => [{6},{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,3,6,4] => [4,6,3,3,2,1] => [{6},{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,4,3,6] => [6,3,4,3,2,1] => [{6},{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,4,6,3] => [3,6,4,3,2,1] => [{6},{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,2,3,6,3,4] => [4,3,6,3,2,1] => [{6},{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,6,4,3] => [3,4,6,3,2,1] => [{6},{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,3,3,6] => [6,3,3,4,2,1] => [{6},{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,2,4,3,6,3] => [3,6,3,4,2,1] => [{6},{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,2,4,6,3,3] => [3,3,6,4,2,1] => [{6},{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,2,6,3,3,4] => [4,3,3,6,2,1] => [{6},{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,2,6,3,4,3] => [3,4,3,6,2,1] => [{6},{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,2,6,4,3,3] => [3,3,4,6,2,1] => [{6},{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,3,2,3,4,6] => [6,4,3,2,3,1] => [{6},{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,3,6,4] => [4,6,3,2,3,1] => [{6},{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,4,3,6] => [6,3,4,2,3,1] => [{6},{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,4,6,3] => [3,6,4,2,3,1] => [{6},{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,6,3,4] => [4,3,6,2,3,1] => [{6},{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,6,4,3] => [3,4,6,2,3,1] => [{6},{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,3,2,4,6] => [6,4,2,3,3,1] => [{6},{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,2,6,4] => [4,6,2,3,3,1] => [{6},{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,4,2,6] => [6,2,4,3,3,1] => [{6},{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,4,6,2] => [2,6,4,3,3,1] => [{6},{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,6,2,4] => [4,2,6,3,3,1] => [{6},{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,6,4,2] => [2,4,6,3,3,1] => [{6},{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,4,2,3,6] => [6,3,2,4,3,1] => [{6},{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,4,2,6,3] => [3,6,2,4,3,1] => [{6},{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,4,3,2,6] => [6,2,3,4,3,1] => [{6},{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,4,3,6,2] => [2,6,3,4,3,1] => [{6},{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,4,6,2,3] => [3,2,6,4,3,1] => [{6},{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,4,6,3,2] => [2,3,6,4,3,1] => [{6},{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,6,2,3,4] => [4,3,2,6,3,1] => [{6},{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,3,6,2,4,3] => [3,4,2,6,3,1] => [{6},{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,6,3,2,4] => [4,2,3,6,3,1] => [{6},{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,6,3,4,2] => [2,4,3,6,3,1] => [{6},{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,6,4,2,3] => [3,2,4,6,3,1] => [{6},{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,6,4,3,2] => [2,3,4,6,3,1] => [{6},{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,2,3,3,6] => [6,3,3,2,4,1] => [{6},{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,4,2,3,6,3] => [3,6,3,2,4,1] => [{6},{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,4,2,6,3,3] => [3,3,6,2,4,1] => [{6},{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,4,3,2,3,6] => [6,3,2,3,4,1] => [{6},{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,4,3,2,6,3] => [3,6,2,3,4,1] => [{6},{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,3,2,6] => [6,2,3,3,4,1] => [{6},{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,4,3,3,6,2] => [2,6,3,3,4,1] => [{6},{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,4,3,6,2,3] => [3,2,6,3,4,1] => [{6},{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,4,3,6,3,2] => [2,3,6,3,4,1] => [{6},{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,4,6,2,3,3] => [3,3,2,6,4,1] => [{6},{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,4,6,3,2,3] => [3,2,3,6,4,1] => [{6},{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,4,6,3,3,2] => [2,3,3,6,4,1] => [{6},{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,6,2,3,3,4] => [4,3,3,2,6,1] => [{6},{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,2,3,4,3] => [3,4,3,2,6,1] => [{6},{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,2,4,3,3] => [3,3,4,2,6,1] => [{6},{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,3,2,3,4] => [4,3,2,3,6,1] => [{6},{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,3,2,4,3] => [3,4,2,3,6,1] => [{6},{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,3,2,4] => [4,2,3,3,6,1] => [{6},{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,3,3,4,2] => [2,4,3,3,6,1] => [{6},{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,3,4,2,3] => [3,2,4,3,6,1] => [{6},{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,4,3,2] => [2,3,4,3,6,1] => [{6},{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,4,2,3,3] => [3,3,2,4,6,1] => [{6},{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,4,3,2,3] => [3,2,3,4,6,1] => [{6},{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,4,3,3,2] => [2,3,3,4,6,1] => [{6},{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,1,3,3,4,6] => [6,4,3,3,1,2] => [{5},{6},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,3,6,4] => [4,6,3,3,1,2] => [{5},{6},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,4,3,6] => [6,3,4,3,1,2] => [{5},{6},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,4,6,3] => [3,6,4,3,1,2] => [{5},{6},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,1,3,6,3,4] => [4,3,6,3,1,2] => [{5},{6},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,6,4,3] => [3,4,6,3,1,2] => [{5},{6},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,3,3,6] => [6,3,3,4,1,2] => [{5},{6},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,1,4,3,6,3] => [3,6,3,4,1,2] => [{5},{6},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,1,4,6,3,3] => [3,3,6,4,1,2] => [{5},{6},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,1,6,3,3,4] => [4,3,3,6,1,2] => [{5},{6},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,1,6,3,4,3] => [3,4,3,6,1,2] => [{5},{6},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,1,6,4,3,3] => [3,3,4,6,1,2] => [{5},{6},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,3,1,3,4,6] => [6,4,3,1,3,2] => [{4},{6},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,3,6,4] => [4,6,3,1,3,2] => [{4},{6},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,4,3,6] => [6,3,4,1,3,2] => [{4},{6},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,4,6,3] => [3,6,4,1,3,2] => [{4},{6},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,6,3,4] => [4,3,6,1,3,2] => [{4},{6},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,6,4,3] => [3,4,6,1,3,2] => [{4},{6},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,3,1,4,6] => [6,4,1,3,3,2] => [{3},{6},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,1,6,4] => [4,6,1,3,3,2] => [{3},{6},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,4,1,6] => [6,1,4,3,3,2] => [{2},{6},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,4,6,1] => [1,6,4,3,3,2] => [{1},{6},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,6,1,4] => [4,1,6,3,3,2] => [{2},{6},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,6,4,1] => [1,4,6,3,3,2] => [{1},{6},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,4,1,3,6] => [6,3,1,4,3,2] => [{3},{6},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,4,1,6,3] => [3,6,1,4,3,2] => [{3},{6},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,4,3,1,6] => [6,1,3,4,3,2] => [{2},{6},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,4,3,6,1] => [1,6,3,4,3,2] => [{1},{6},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,4,6,1,3] => [3,1,6,4,3,2] => [{2},{6},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,4,6,3,1] => [1,3,6,4,3,2] => [{1},{6},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,6,1,3,4] => [4,3,1,6,3,2] => [{3},{6},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,3,6,1,4,3] => [3,4,1,6,3,2] => [{3},{6},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,6,3,1,4] => [4,1,3,6,3,2] => [{2},{6},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,6,3,4,1] => [1,4,3,6,3,2] => [{1},{6},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,6,4,1,3] => [3,1,4,6,3,2] => [{2},{6},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,6,4,3,1] => [1,3,4,6,3,2] => [{1},{6},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,1,3,3,6] => [6,3,3,1,4,2] => [{4},{6},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,4,1,3,6,3] => [3,6,3,1,4,2] => [{4},{6},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,4,1,6,3,3] => [3,3,6,1,4,2] => [{4},{6},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,4,3,1,3,6] => [6,3,1,3,4,2] => [{3},{6},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,4,3,1,6,3] => [3,6,1,3,4,2] => [{3},{6},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,3,1,6] => [6,1,3,3,4,2] => [{2},{6},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,4,3,3,6,1] => [1,6,3,3,4,2] => [{1},{6},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,4,3,6,1,3] => [3,1,6,3,4,2] => [{2},{6},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,4,3,6,3,1] => [1,3,6,3,4,2] => [{1},{6},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,4,6,1,3,3] => [3,3,1,6,4,2] => [{3},{6},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,4,6,3,1,3] => [3,1,3,6,4,2] => [{2},{6},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,4,6,3,3,1] => [1,3,3,6,4,2] => [{1},{6},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,6,1,3,3,4] => [4,3,3,1,6,2] => [{4},{6},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,1,3,4,3] => [3,4,3,1,6,2] => [{4},{6},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,1,4,3,3] => [3,3,4,1,6,2] => [{4},{6},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,3,1,3,4] => [4,3,1,3,6,2] => [{3},{6},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,3,1,4,3] => [3,4,1,3,6,2] => [{3},{6},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,3,1,4] => [4,1,3,3,6,2] => [{2},{6},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,3,3,4,1] => [1,4,3,3,6,2] => [{1},{6},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,3,4,1,3] => [3,1,4,3,6,2] => [{2},{6},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,4,3,1] => [1,3,4,3,6,2] => [{1},{6},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,4,1,3,3] => [3,3,1,4,6,2] => [{3},{6},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,4,3,1,3] => [3,1,3,4,6,2] => [{2},{6},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,4,3,3,1] => [1,3,3,4,6,2] => [{1},{6},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,1,2,3,4,6] => [6,4,3,2,1,3] => [{5},{4},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,3,6,4] => [4,6,3,2,1,3] => [{5},{4},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,4,3,6] => [6,3,4,2,1,3] => [{5},{4},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,4,6,3] => [3,6,4,2,1,3] => [{5},{4},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,2,6,3,4] => [4,3,6,2,1,3] => [{5},{4},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,6,4,3] => [3,4,6,2,1,3] => [{5},{4},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,3,2,4,6] => [6,4,2,3,1,3] => [{5},{3},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,2,6,4] => [4,6,2,3,1,3] => [{5},{3},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,4,2,6] => [6,2,4,3,1,3] => [{5},{2},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,4,6,2] => [2,6,4,3,1,3] => [{5},{1},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,6,2,4] => [4,2,6,3,1,3] => [{5},{2},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,6,4,2] => [2,4,6,3,1,3] => [{5},{1},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,4,2,3,6] => [6,3,2,4,1,3] => [{5},{3},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,4,2,6,3] => [3,6,2,4,1,3] => [{5},{3},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,4,3,2,6] => [6,2,3,4,1,3] => [{5},{2},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,4,3,6,2] => [2,6,3,4,1,3] => [{5},{1},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,4,6,2,3] => [3,2,6,4,1,3] => [{5},{2},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,4,6,3,2] => [2,3,6,4,1,3] => [{5},{1},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,6,2,3,4] => [4,3,2,6,1,3] => [{5},{3},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,1,6,2,4,3] => [3,4,2,6,1,3] => [{5},{3},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,6,3,2,4] => [4,2,3,6,1,3] => [{5},{2},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,6,3,4,2] => [2,4,3,6,1,3] => [{5},{1},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,6,4,2,3] => [3,2,4,6,1,3] => [{5},{2},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,6,4,3,2] => [2,3,4,6,1,3] => [{5},{1},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,3,4,6] => [6,4,3,1,2,3] => [{4},{5},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,3,6,4] => [4,6,3,1,2,3] => [{4},{5},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,4,3,6] => [6,3,4,1,2,3] => [{4},{5},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,4,6,3] => [3,6,4,1,2,3] => [{4},{5},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,1,6,3,4] => [4,3,6,1,2,3] => [{4},{5},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,6,4,3] => [3,4,6,1,2,3] => [{4},{5},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,3,1,4,6] => [6,4,1,3,2,3] => [{3},{5},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,1,6,4] => [4,6,1,3,2,3] => [{3},{5},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,4,1,6] => [6,1,4,3,2,3] => [{2},{5},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,4,6,1] => [1,6,4,3,2,3] => [{1},{5},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,6,1,4] => [4,1,6,3,2,3] => [{2},{5},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,6,4,1] => [1,4,6,3,2,3] => [{1},{5},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,4,1,3,6] => [6,3,1,4,2,3] => [{3},{5},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,4,1,6,3] => [3,6,1,4,2,3] => [{3},{5},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,4,3,1,6] => [6,1,3,4,2,3] => [{2},{5},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,4,3,6,1] => [1,6,3,4,2,3] => [{1},{5},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,4,6,1,3] => [3,1,6,4,2,3] => [{2},{5},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,4,6,3,1] => [1,3,6,4,2,3] => [{1},{5},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,6,1,3,4] => [4,3,1,6,2,3] => [{3},{5},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,6,1,4,3] => [3,4,1,6,2,3] => [{3},{5},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,6,3,1,4] => [4,1,3,6,2,3] => [{2},{5},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,6,3,4,1] => [1,4,3,6,2,3] => [{1},{5},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,6,4,1,3] => [3,1,4,6,2,3] => [{2},{5},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,6,4,3,1] => [1,3,4,6,2,3] => [{1},{5},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,3,1,2,4,6] => [6,4,2,1,3,3] => [{4},{3},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,2,6,4] => [4,6,2,1,3,3] => [{4},{3},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,4,2,6] => [6,2,4,1,3,3] => [{4},{2},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,4,6,2] => [2,6,4,1,3,3] => [{4},{1},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,6,2,4] => [4,2,6,1,3,3] => [{4},{2},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,6,4,2] => [2,4,6,1,3,3] => [{4},{1},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,4,6] => [6,4,1,2,3,3] => [{3},{4},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,6,4] => [4,6,1,2,3,3] => [{3},{4},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,4,1,6] => [6,1,4,2,3,3] => [{2},{4},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,4,6,1] => [1,6,4,2,3,3] => [{1},{4},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,6,1,4] => [4,1,6,2,3,3] => [{2},{4},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,6,4,1] => [1,4,6,2,3,3] => [{1},{4},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,1,2,6] => [6,2,1,4,3,3] => [{3},{2},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,1,6,2] => [2,6,1,4,3,3] => [{3},{1},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,2,1,6] => [6,1,2,4,3,3] => [{2},{3},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,2,6,1] => [1,6,2,4,3,3] => [{1},{3},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,6,1,2] => [2,1,6,4,3,3] => [{2},{1},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,4,6,2,1] => [1,2,6,4,3,3] => [{1},{2},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,1,2,4] => [4,2,1,6,3,3] => [{3},{2},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,1,4,2] => [2,4,1,6,3,3] => [{3},{1},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,2,1,4] => [4,1,2,6,3,3] => [{2},{3},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,2,4,1] => [1,4,2,6,3,3] => [{1},{3},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,4,1,2] => [2,1,4,6,3,3] => [{2},{1},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,4,2,1] => [1,2,4,6,3,3] => [{1},{2},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,4,1,2,3,6] => [6,3,2,1,4,3] => [{4},{3},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,4,1,2,6,3] => [3,6,2,1,4,3] => [{4},{3},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,4,1,3,2,6] => [6,2,3,1,4,3] => [{4},{2},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,4,1,3,6,2] => [2,6,3,1,4,3] => [{4},{1},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,4,1,6,2,3] => [3,2,6,1,4,3] => [{4},{2},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,4,1,6,3,2] => [2,3,6,1,4,3] => [{4},{1},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,4,2,1,3,6] => [6,3,1,2,4,3] => [{3},{4},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,4,2,1,6,3] => [3,6,1,2,4,3] => [{3},{4},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,4,2,3,1,6] => [6,1,3,2,4,3] => [{2},{4},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,4,2,3,6,1] => [1,6,3,2,4,3] => [{1},{4},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,4,2,6,1,3] => [3,1,6,2,4,3] => [{2},{4},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,4,2,6,3,1] => [1,3,6,2,4,3] => [{1},{4},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,4,3,1,2,6] => [6,2,1,3,4,3] => [{3},{2},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,1,6,2] => [2,6,1,3,4,3] => [{3},{1},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,2,1,6] => [6,1,2,3,4,3] => [{2},{3},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,2,6,1] => [1,6,2,3,4,3] => [{1},{3},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,6,1,2] => [2,1,6,3,4,3] => [{2},{1},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,4,3,6,2,1] => [1,2,6,3,4,3] => [{1},{2},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,4,6,1,2,3] => [3,2,1,6,4,3] => [{3},{2},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,4,6,1,3,2] => [2,3,1,6,4,3] => [{3},{1},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,4,6,2,1,3] => [3,1,2,6,4,3] => [{2},{3},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,4,6,2,3,1] => [1,3,2,6,4,3] => [{1},{3},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,4,6,3,1,2] => [2,1,3,6,4,3] => [{2},{1},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,4,6,3,2,1] => [1,2,3,6,4,3] => [{1},{2},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,2,3,4] => [4,3,2,1,6,3] => [{4},{3},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,1,2,4,3] => [3,4,2,1,6,3] => [{4},{3},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,1,3,2,4] => [4,2,3,1,6,3] => [{4},{2},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,3,4,2] => [2,4,3,1,6,3] => [{4},{1},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,4,2,3] => [3,2,4,1,6,3] => [{4},{2},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,1,4,3,2] => [2,3,4,1,6,3] => [{4},{1},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,2,1,3,4] => [4,3,1,2,6,3] => [{3},{4},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,2,1,4,3] => [3,4,1,2,6,3] => [{3},{4},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,2,3,1,4] => [4,1,3,2,6,3] => [{2},{4},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,2,3,4,1] => [1,4,3,2,6,3] => [{1},{4},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,2,4,1,3] => [3,1,4,2,6,3] => [{2},{4},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,2,4,3,1] => [1,3,4,2,6,3] => [{1},{4},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,3,1,2,4] => [4,2,1,3,6,3] => [{3},{2},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,1,4,2] => [2,4,1,3,6,3] => [{3},{1},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,2,1,4] => [4,1,2,3,6,3] => [{2},{3},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,2,4,1] => [1,4,2,3,6,3] => [{1},{3},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,4,1,2] => [2,1,4,3,6,3] => [{2},{1},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,4,2,1] => [1,2,4,3,6,3] => [{1},{2},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,4,1,2,3] => [3,2,1,4,6,3] => [{3},{2},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,4,1,3,2] => [2,3,1,4,6,3] => [{3},{1},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,4,2,1,3] => [3,1,2,4,6,3] => [{2},{3},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,4,2,3,1] => [1,3,2,4,6,3] => [{1},{3},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,4,3,1,2] => [2,1,3,4,6,3] => [{2},{1},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,4,3,2,1] => [1,2,3,4,6,3] => [{1},{2},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,3,3,6] => [6,3,3,2,1,4] => [{5},{4},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,1,2,3,6,3] => [3,6,3,2,1,4] => [{5},{4},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,1,2,6,3,3] => [3,3,6,2,1,4] => [{5},{4},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,1,3,2,3,6] => [6,3,2,3,1,4] => [{5},{3},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,1,3,2,6,3] => [3,6,2,3,1,4] => [{5},{3},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,3,2,6] => [6,2,3,3,1,4] => [{5},{2},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,1,3,3,6,2] => [2,6,3,3,1,4] => [{5},{1},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,1,3,6,2,3] => [3,2,6,3,1,4] => [{5},{2},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,1,3,6,3,2] => [2,3,6,3,1,4] => [{5},{1},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,1,6,2,3,3] => [3,3,2,6,1,4] => [{5},{3},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,1,6,3,2,3] => [3,2,3,6,1,4] => [{5},{2},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,1,6,3,3,2] => [2,3,3,6,1,4] => [{5},{1},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,2,1,3,3,6] => [6,3,3,1,2,4] => [{4},{5},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[4,2,1,3,6,3] => [3,6,3,1,2,4] => [{4},{5},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[4,2,1,6,3,3] => [3,3,6,1,2,4] => [{4},{5},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[4,2,3,1,3,6] => [6,3,1,3,2,4] => [{3},{5},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[4,2,3,1,6,3] => [3,6,1,3,2,4] => [{3},{5},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,3,1,6] => [6,1,3,3,2,4] => [{2},{5},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[4,2,3,3,6,1] => [1,6,3,3,2,4] => [{1},{5},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[4,2,3,6,1,3] => [3,1,6,3,2,4] => [{2},{5},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[4,2,3,6,3,1] => [1,3,6,3,2,4] => [{1},{5},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[4,2,6,1,3,3] => [3,3,1,6,2,4] => [{3},{5},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[4,2,6,3,1,3] => [3,1,3,6,2,4] => [{2},{5},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[4,2,6,3,3,1] => [1,3,3,6,2,4] => [{1},{5},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[4,3,1,2,3,6] => [6,3,2,1,3,4] => [{4},{3},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,3,1,2,6,3] => [3,6,2,1,3,4] => [{4},{3},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,3,1,3,2,6] => [6,2,3,1,3,4] => [{4},{2},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,3,1,3,6,2] => [2,6,3,1,3,4] => [{4},{1},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,3,1,6,2,3] => [3,2,6,1,3,4] => [{4},{2},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,3,1,6,3,2] => [2,3,6,1,3,4] => [{4},{1},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,3,2,1,3,6] => [6,3,1,2,3,4] => [{3},{4},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[4,3,2,1,6,3] => [3,6,1,2,3,4] => [{3},{4},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[4,3,2,3,1,6] => [6,1,3,2,3,4] => [{2},{4},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[4,3,2,3,6,1] => [1,6,3,2,3,4] => [{1},{4},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[4,3,2,6,1,3] => [3,1,6,2,3,4] => [{2},{4},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[4,3,2,6,3,1] => [1,3,6,2,3,4] => [{1},{4},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[4,3,3,1,2,6] => [6,2,1,3,3,4] => [{3},{2},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,1,6,2] => [2,6,1,3,3,4] => [{3},{1},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,2,1,6] => [6,1,2,3,3,4] => [{2},{3},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,2,6,1] => [1,6,2,3,3,4] => [{1},{3},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,6,1,2] => [2,1,6,3,3,4] => [{2},{1},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,3,3,6,2,1] => [1,2,6,3,3,4] => [{1},{2},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[4,3,6,1,2,3] => [3,2,1,6,3,4] => [{3},{2},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,3,6,1,3,2] => [2,3,1,6,3,4] => [{3},{1},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,6,2,1,3] => [3,1,2,6,3,4] => [{2},{3},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[4,3,6,2,3,1] => [1,3,2,6,3,4] => [{1},{3},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[4,3,6,3,1,2] => [2,1,3,6,3,4] => [{2},{1},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,3,6,3,2,1] => [1,2,3,6,3,4] => [{1},{2},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[4,6,1,2,3,3] => [3,3,2,1,6,4] => [{4},{3},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,1,3,2,3] => [3,2,3,1,6,4] => [{4},{2},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,1,3,3,2] => [2,3,3,1,6,4] => [{4},{1},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,2,1,3,3] => [3,3,1,2,6,4] => [{3},{4},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[4,6,2,3,1,3] => [3,1,3,2,6,4] => [{2},{4},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[4,6,2,3,3,1] => [1,3,3,2,6,4] => [{1},{4},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[4,6,3,1,2,3] => [3,2,1,3,6,4] => [{3},{2},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,3,1,3,2] => [2,3,1,3,6,4] => [{3},{1},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,3,2,1,3] => [3,1,2,3,6,4] => [{2},{3},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[4,6,3,2,3,1] => [1,3,2,3,6,4] => [{1},{3},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[4,6,3,3,1,2] => [2,1,3,3,6,4] => [{2},{1},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[4,6,3,3,2,1] => [1,2,3,3,6,4] => [{1},{2},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,3,3,4] => [4,3,3,2,1,6] => [{5},{4},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,2,3,4,3] => [3,4,3,2,1,6] => [{5},{4},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,2,4,3,3] => [3,3,4,2,1,6] => [{5},{4},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,3,2,3,4] => [4,3,2,3,1,6] => [{5},{3},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,3,2,4,3] => [3,4,2,3,1,6] => [{5},{3},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,3,2,4] => [4,2,3,3,1,6] => [{5},{2},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,3,3,4,2] => [2,4,3,3,1,6] => [{5},{1},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,3,4,2,3] => [3,2,4,3,1,6] => [{5},{2},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,4,3,2] => [2,3,4,3,1,6] => [{5},{1},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,4,2,3,3] => [3,3,2,4,1,6] => [{5},{3},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,4,3,2,3] => [3,2,3,4,1,6] => [{5},{2},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,4,3,3,2] => [2,3,3,4,1,6] => [{5},{1},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,1,3,3,4] => [4,3,3,1,2,6] => [{4},{5},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,1,3,4,3] => [3,4,3,1,2,6] => [{4},{5},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,1,4,3,3] => [3,3,4,1,2,6] => [{4},{5},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,3,1,3,4] => [4,3,1,3,2,6] => [{3},{5},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,3,1,4,3] => [3,4,1,3,2,6] => [{3},{5},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,3,1,4] => [4,1,3,3,2,6] => [{2},{5},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,3,3,4,1] => [1,4,3,3,2,6] => [{1},{5},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,3,4,1,3] => [3,1,4,3,2,6] => [{2},{5},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,4,3,1] => [1,3,4,3,2,6] => [{1},{5},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,4,1,3,3] => [3,3,1,4,2,6] => [{3},{5},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,4,3,1,3] => [3,1,3,4,2,6] => [{2},{5},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,4,3,3,1] => [1,3,3,4,2,6] => [{1},{5},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,1,2,3,4] => [4,3,2,1,3,6] => [{4},{3},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,1,2,4,3] => [3,4,2,1,3,6] => [{4},{3},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,1,3,2,4] => [4,2,3,1,3,6] => [{4},{2},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,1,3,4,2] => [2,4,3,1,3,6] => [{4},{1},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,1,4,2,3] => [3,2,4,1,3,6] => [{4},{2},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,1,4,3,2] => [2,3,4,1,3,6] => [{4},{1},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,2,1,3,4] => [4,3,1,2,3,6] => [{3},{4},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,2,1,4,3] => [3,4,1,2,3,6] => [{3},{4},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,2,3,1,4] => [4,1,3,2,3,6] => [{2},{4},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,2,3,4,1] => [1,4,3,2,3,6] => [{1},{4},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,2,4,1,3] => [3,1,4,2,3,6] => [{2},{4},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,2,4,3,1] => [1,3,4,2,3,6] => [{1},{4},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,3,1,2,4] => [4,2,1,3,3,6] => [{3},{2},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,1,4,2] => [2,4,1,3,3,6] => [{3},{1},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,2,1,4] => [4,1,2,3,3,6] => [{2},{3},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,2,4,1] => [1,4,2,3,3,6] => [{1},{3},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,4,1,2] => [2,1,4,3,3,6] => [{2},{1},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,4,2,1] => [1,2,4,3,3,6] => [{1},{2},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,4,1,2,3] => [3,2,1,4,3,6] => [{3},{2},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,4,1,3,2] => [2,3,1,4,3,6] => [{3},{1},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,4,2,1,3] => [3,1,2,4,3,6] => [{2},{3},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,4,2,3,1] => [1,3,2,4,3,6] => [{1},{3},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,4,3,1,2] => [2,1,3,4,3,6] => [{2},{1},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,4,3,2,1] => [1,2,3,4,3,6] => [{1},{2},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,1,2,3,3] => [3,3,2,1,4,6] => [{4},{3},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,1,3,2,3] => [3,2,3,1,4,6] => [{4},{2},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,1,3,3,2] => [2,3,3,1,4,6] => [{4},{1},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,2,1,3,3] => [3,3,1,2,4,6] => [{3},{4},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,4,2,3,1,3] => [3,1,3,2,4,6] => [{2},{4},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,4,2,3,3,1] => [1,3,3,2,4,6] => [{1},{4},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,4,3,1,2,3] => [3,2,1,3,4,6] => [{3},{2},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,3,1,3,2] => [2,3,1,3,4,6] => [{3},{1},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,3,2,1,3] => [3,1,2,3,4,6] => [{2},{3},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,4,3,2,3,1] => [1,3,2,3,4,6] => [{1},{3},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,4,3,3,1,2] => [2,1,3,3,4,6] => [{2},{1},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,3,3,2,1] => [1,2,3,3,4,6] => [{1},{2},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,3,5,5] => [5,5,3,3,2,1] => [{6},{5},{3,4},{1,2}] => {{1,2},{3,4},{5},{6}}
[1,2,3,5,3,5] => [5,3,5,3,2,1] => [{6},{5},{2,4},{1,3}] => {{1,3},{2,4},{5},{6}}
[1,2,3,5,5,3] => [3,5,5,3,2,1] => [{6},{5},{1,4},{2,3}] => {{1,4},{2,3},{5},{6}}
[1,2,5,3,3,5] => [5,3,3,5,2,1] => [{6},{5},{2,3},{1,4}] => {{1,4},{2,3},{5},{6}}
[1,2,5,3,5,3] => [3,5,3,5,2,1] => [{6},{5},{1,3},{2,4}] => {{1,3},{2,4},{5},{6}}
[1,2,5,5,3,3] => [3,3,5,5,2,1] => [{6},{5},{1,2},{3,4}] => {{1,2},{3,4},{5},{6}}
[1,3,2,3,5,5] => [5,5,3,2,3,1] => [{6},{4},{3,5},{1,2}] => {{1,2},{3,5},{4},{6}}
[1,3,2,5,3,5] => [5,3,5,2,3,1] => [{6},{4},{2,5},{1,3}] => {{1,3},{2,5},{4},{6}}
[1,3,2,5,5,3] => [3,5,5,2,3,1] => [{6},{4},{1,5},{2,3}] => {{1,5},{2,3},{4},{6}}
[1,3,3,2,5,5] => [5,5,2,3,3,1] => [{6},{3},{4,5},{1,2}] => {{1,2},{3},{4,5},{6}}
[1,3,3,5,2,5] => [5,2,5,3,3,1] => [{6},{2},{4,5},{1,3}] => {{1,3},{2},{4,5},{6}}
[1,3,3,5,5,2] => [2,5,5,3,3,1] => [{6},{1},{4,5},{2,3}] => {{1},{2,3},{4,5},{6}}
[1,3,5,2,3,5] => [5,3,2,5,3,1] => [{6},{3},{2,5},{1,4}] => {{1,4},{2,5},{3},{6}}
[1,3,5,2,5,3] => [3,5,2,5,3,1] => [{6},{3},{1,5},{2,4}] => {{1,5},{2,4},{3},{6}}
[1,3,5,3,2,5] => [5,2,3,5,3,1] => [{6},{2},{3,5},{1,4}] => {{1,4},{2},{3,5},{6}}
[1,3,5,3,5,2] => [2,5,3,5,3,1] => [{6},{1},{3,5},{2,4}] => {{1},{2,4},{3,5},{6}}
[1,3,5,5,2,3] => [3,2,5,5,3,1] => [{6},{2},{1,5},{3,4}] => {{1,5},{2},{3,4},{6}}
[1,3,5,5,3,2] => [2,3,5,5,3,1] => [{6},{1},{2,5},{3,4}] => {{1},{2,5},{3,4},{6}}
[1,5,2,3,3,5] => [5,3,3,2,5,1] => [{6},{4},{2,3},{1,5}] => {{1,5},{2,3},{4},{6}}
[1,5,2,3,5,3] => [3,5,3,2,5,1] => [{6},{4},{1,3},{2,5}] => {{1,3},{2,5},{4},{6}}
[1,5,2,5,3,3] => [3,3,5,2,5,1] => [{6},{4},{1,2},{3,5}] => {{1,2},{3,5},{4},{6}}
[1,5,3,2,3,5] => [5,3,2,3,5,1] => [{6},{3},{2,4},{1,5}] => {{1,5},{2,4},{3},{6}}
[1,5,3,2,5,3] => [3,5,2,3,5,1] => [{6},{3},{1,4},{2,5}] => {{1,4},{2,5},{3},{6}}
[1,5,3,3,2,5] => [5,2,3,3,5,1] => [{6},{2},{3,4},{1,5}] => {{1,5},{2},{3,4},{6}}
[1,5,3,3,5,2] => [2,5,3,3,5,1] => [{6},{1},{3,4},{2,5}] => {{1},{2,5},{3,4},{6}}
[1,5,3,5,2,3] => [3,2,5,3,5,1] => [{6},{2},{1,4},{3,5}] => {{1,4},{2},{3,5},{6}}
[1,5,3,5,3,2] => [2,3,5,3,5,1] => [{6},{1},{2,4},{3,5}] => {{1},{2,4},{3,5},{6}}
[1,5,5,2,3,3] => [3,3,2,5,5,1] => [{6},{3},{1,2},{4,5}] => {{1,2},{3},{4,5},{6}}
[1,5,5,3,2,3] => [3,2,3,5,5,1] => [{6},{2},{1,3},{4,5}] => {{1,3},{2},{4,5},{6}}
[1,5,5,3,3,2] => [2,3,3,5,5,1] => [{6},{1},{2,3},{4,5}] => {{1},{2,3},{4,5},{6}}
[2,1,3,3,5,5] => [5,5,3,3,1,2] => [{5},{6},{3,4},{1,2}] => {{1,2},{3,4},{5},{6}}
[2,1,3,5,3,5] => [5,3,5,3,1,2] => [{5},{6},{2,4},{1,3}] => {{1,3},{2,4},{5},{6}}
[2,1,3,5,5,3] => [3,5,5,3,1,2] => [{5},{6},{1,4},{2,3}] => {{1,4},{2,3},{5},{6}}
[2,1,5,3,3,5] => [5,3,3,5,1,2] => [{5},{6},{2,3},{1,4}] => {{1,4},{2,3},{5},{6}}
[2,1,5,3,5,3] => [3,5,3,5,1,2] => [{5},{6},{1,3},{2,4}] => {{1,3},{2,4},{5},{6}}
[2,1,5,5,3,3] => [3,3,5,5,1,2] => [{5},{6},{1,2},{3,4}] => {{1,2},{3,4},{5},{6}}
[2,3,1,3,5,5] => [5,5,3,1,3,2] => [{4},{6},{3,5},{1,2}] => {{1,2},{3,5},{4},{6}}
[2,3,1,5,3,5] => [5,3,5,1,3,2] => [{4},{6},{2,5},{1,3}] => {{1,3},{2,5},{4},{6}}
[2,3,1,5,5,3] => [3,5,5,1,3,2] => [{4},{6},{1,5},{2,3}] => {{1,5},{2,3},{4},{6}}
[2,3,3,1,5,5] => [5,5,1,3,3,2] => [{3},{6},{4,5},{1,2}] => {{1,2},{3},{4,5},{6}}
[2,3,3,5,1,5] => [5,1,5,3,3,2] => [{2},{6},{4,5},{1,3}] => {{1,3},{2},{4,5},{6}}
[2,3,3,5,5,1] => [1,5,5,3,3,2] => [{1},{6},{4,5},{2,3}] => {{1},{2,3},{4,5},{6}}
[2,3,5,1,3,5] => [5,3,1,5,3,2] => [{3},{6},{2,5},{1,4}] => {{1,4},{2,5},{3},{6}}
[2,3,5,1,5,3] => [3,5,1,5,3,2] => [{3},{6},{1,5},{2,4}] => {{1,5},{2,4},{3},{6}}
[2,3,5,3,1,5] => [5,1,3,5,3,2] => [{2},{6},{3,5},{1,4}] => {{1,4},{2},{3,5},{6}}
[2,3,5,3,5,1] => [1,5,3,5,3,2] => [{1},{6},{3,5},{2,4}] => {{1},{2,4},{3,5},{6}}
[2,3,5,5,1,3] => [3,1,5,5,3,2] => [{2},{6},{1,5},{3,4}] => {{1,5},{2},{3,4},{6}}
[2,3,5,5,3,1] => [1,3,5,5,3,2] => [{1},{6},{2,5},{3,4}] => {{1},{2,5},{3,4},{6}}
[2,5,1,3,3,5] => [5,3,3,1,5,2] => [{4},{6},{2,3},{1,5}] => {{1,5},{2,3},{4},{6}}
[2,5,1,3,5,3] => [3,5,3,1,5,2] => [{4},{6},{1,3},{2,5}] => {{1,3},{2,5},{4},{6}}
[2,5,1,5,3,3] => [3,3,5,1,5,2] => [{4},{6},{1,2},{3,5}] => {{1,2},{3,5},{4},{6}}
[2,5,3,1,3,5] => [5,3,1,3,5,2] => [{3},{6},{2,4},{1,5}] => {{1,5},{2,4},{3},{6}}
[2,5,3,1,5,3] => [3,5,1,3,5,2] => [{3},{6},{1,4},{2,5}] => {{1,4},{2,5},{3},{6}}
[2,5,3,3,1,5] => [5,1,3,3,5,2] => [{2},{6},{3,4},{1,5}] => {{1,5},{2},{3,4},{6}}
[2,5,3,3,5,1] => [1,5,3,3,5,2] => [{1},{6},{3,4},{2,5}] => {{1},{2,5},{3,4},{6}}
[2,5,3,5,1,3] => [3,1,5,3,5,2] => [{2},{6},{1,4},{3,5}] => {{1,4},{2},{3,5},{6}}
[2,5,3,5,3,1] => [1,3,5,3,5,2] => [{1},{6},{2,4},{3,5}] => {{1},{2,4},{3,5},{6}}
[2,5,5,1,3,3] => [3,3,1,5,5,2] => [{3},{6},{1,2},{4,5}] => {{1,2},{3},{4,5},{6}}
[2,5,5,3,1,3] => [3,1,3,5,5,2] => [{2},{6},{1,3},{4,5}] => {{1,3},{2},{4,5},{6}}
[2,5,5,3,3,1] => [1,3,3,5,5,2] => [{1},{6},{2,3},{4,5}] => {{1},{2,3},{4,5},{6}}
[3,1,2,3,5,5] => [5,5,3,2,1,3] => [{5},{4},{3,6},{1,2}] => {{1,2},{3,6},{4},{5}}
[3,1,2,5,3,5] => [5,3,5,2,1,3] => [{5},{4},{2,6},{1,3}] => {{1,3},{2,6},{4},{5}}
[3,1,2,5,5,3] => [3,5,5,2,1,3] => [{5},{4},{1,6},{2,3}] => {{1,6},{2,3},{4},{5}}
[3,1,3,2,5,5] => [5,5,2,3,1,3] => [{5},{3},{4,6},{1,2}] => {{1,2},{3},{4,6},{5}}
[3,1,3,5,2,5] => [5,2,5,3,1,3] => [{5},{2},{4,6},{1,3}] => {{1,3},{2},{4,6},{5}}
[3,1,3,5,5,2] => [2,5,5,3,1,3] => [{5},{1},{4,6},{2,3}] => {{1},{2,3},{4,6},{5}}
[3,1,5,2,3,5] => [5,3,2,5,1,3] => [{5},{3},{2,6},{1,4}] => {{1,4},{2,6},{3},{5}}
[3,1,5,2,5,3] => [3,5,2,5,1,3] => [{5},{3},{1,6},{2,4}] => {{1,6},{2,4},{3},{5}}
[3,1,5,3,2,5] => [5,2,3,5,1,3] => [{5},{2},{3,6},{1,4}] => {{1,4},{2},{3,6},{5}}
[3,1,5,3,5,2] => [2,5,3,5,1,3] => [{5},{1},{3,6},{2,4}] => {{1},{2,4},{3,6},{5}}
[3,1,5,5,2,3] => [3,2,5,5,1,3] => [{5},{2},{1,6},{3,4}] => {{1,6},{2},{3,4},{5}}
[3,1,5,5,3,2] => [2,3,5,5,1,3] => [{5},{1},{2,6},{3,4}] => {{1},{2,6},{3,4},{5}}
[3,2,1,3,5,5] => [5,5,3,1,2,3] => [{4},{5},{3,6},{1,2}] => {{1,2},{3,6},{4},{5}}
[3,2,1,5,3,5] => [5,3,5,1,2,3] => [{4},{5},{2,6},{1,3}] => {{1,3},{2,6},{4},{5}}
[3,2,1,5,5,3] => [3,5,5,1,2,3] => [{4},{5},{1,6},{2,3}] => {{1,6},{2,3},{4},{5}}
[3,2,3,1,5,5] => [5,5,1,3,2,3] => [{3},{5},{4,6},{1,2}] => {{1,2},{3},{4,6},{5}}
[3,2,3,5,1,5] => [5,1,5,3,2,3] => [{2},{5},{4,6},{1,3}] => {{1,3},{2},{4,6},{5}}
[3,2,3,5,5,1] => [1,5,5,3,2,3] => [{1},{5},{4,6},{2,3}] => {{1},{2,3},{4,6},{5}}
[3,2,5,1,3,5] => [5,3,1,5,2,3] => [{3},{5},{2,6},{1,4}] => {{1,4},{2,6},{3},{5}}
[3,2,5,1,5,3] => [3,5,1,5,2,3] => [{3},{5},{1,6},{2,4}] => {{1,6},{2,4},{3},{5}}
[3,2,5,3,1,5] => [5,1,3,5,2,3] => [{2},{5},{3,6},{1,4}] => {{1,4},{2},{3,6},{5}}
[3,2,5,3,5,1] => [1,5,3,5,2,3] => [{1},{5},{3,6},{2,4}] => {{1},{2,4},{3,6},{5}}
[3,2,5,5,1,3] => [3,1,5,5,2,3] => [{2},{5},{1,6},{3,4}] => {{1,6},{2},{3,4},{5}}
[3,2,5,5,3,1] => [1,3,5,5,2,3] => [{1},{5},{2,6},{3,4}] => {{1},{2,6},{3,4},{5}}
[3,3,1,2,5,5] => [5,5,2,1,3,3] => [{4},{3},{5,6},{1,2}] => {{1,2},{3},{4},{5,6}}
[3,3,1,5,2,5] => [5,2,5,1,3,3] => [{4},{2},{5,6},{1,3}] => {{1,3},{2},{4},{5,6}}
[3,3,1,5,5,2] => [2,5,5,1,3,3] => [{4},{1},{5,6},{2,3}] => {{1},{2,3},{4},{5,6}}
[3,3,2,1,5,5] => [5,5,1,2,3,3] => [{3},{4},{5,6},{1,2}] => {{1,2},{3},{4},{5,6}}
[3,3,2,5,1,5] => [5,1,5,2,3,3] => [{2},{4},{5,6},{1,3}] => {{1,3},{2},{4},{5,6}}
[3,3,2,5,5,1] => [1,5,5,2,3,3] => [{1},{4},{5,6},{2,3}] => {{1},{2,3},{4},{5,6}}
[3,3,5,1,2,5] => [5,2,1,5,3,3] => [{3},{2},{5,6},{1,4}] => {{1,4},{2},{3},{5,6}}
[3,3,5,1,5,2] => [2,5,1,5,3,3] => [{3},{1},{5,6},{2,4}] => {{1},{2,4},{3},{5,6}}
[3,3,5,2,1,5] => [5,1,2,5,3,3] => [{2},{3},{5,6},{1,4}] => {{1,4},{2},{3},{5,6}}
[3,3,5,2,5,1] => [1,5,2,5,3,3] => [{1},{3},{5,6},{2,4}] => {{1},{2,4},{3},{5,6}}
[3,3,5,5,1,2] => [2,1,5,5,3,3] => [{2},{1},{5,6},{3,4}] => {{1},{2},{3,4},{5,6}}
[3,3,5,5,2,1] => [1,2,5,5,3,3] => [{1},{2},{5,6},{3,4}] => {{1},{2},{3,4},{5,6}}
[3,5,1,2,3,5] => [5,3,2,1,5,3] => [{4},{3},{2,6},{1,5}] => {{1,5},{2,6},{3},{4}}
[3,5,1,2,5,3] => [3,5,2,1,5,3] => [{4},{3},{1,6},{2,5}] => {{1,6},{2,5},{3},{4}}
[3,5,1,3,2,5] => [5,2,3,1,5,3] => [{4},{2},{3,6},{1,5}] => {{1,5},{2},{3,6},{4}}
[3,5,1,3,5,2] => [2,5,3,1,5,3] => [{4},{1},{3,6},{2,5}] => {{1},{2,5},{3,6},{4}}
[3,5,1,5,2,3] => [3,2,5,1,5,3] => [{4},{2},{1,6},{3,5}] => {{1,6},{2},{3,5},{4}}
[3,5,1,5,3,2] => [2,3,5,1,5,3] => [{4},{1},{2,6},{3,5}] => {{1},{2,6},{3,5},{4}}
[3,5,2,1,3,5] => [5,3,1,2,5,3] => [{3},{4},{2,6},{1,5}] => {{1,5},{2,6},{3},{4}}
[3,5,2,1,5,3] => [3,5,1,2,5,3] => [{3},{4},{1,6},{2,5}] => {{1,6},{2,5},{3},{4}}
[3,5,2,3,1,5] => [5,1,3,2,5,3] => [{2},{4},{3,6},{1,5}] => {{1,5},{2},{3,6},{4}}
[3,5,2,3,5,1] => [1,5,3,2,5,3] => [{1},{4},{3,6},{2,5}] => {{1},{2,5},{3,6},{4}}
[3,5,2,5,1,3] => [3,1,5,2,5,3] => [{2},{4},{1,6},{3,5}] => {{1,6},{2},{3,5},{4}}
[3,5,2,5,3,1] => [1,3,5,2,5,3] => [{1},{4},{2,6},{3,5}] => {{1},{2,6},{3,5},{4}}
[3,5,3,1,2,5] => [5,2,1,3,5,3] => [{3},{2},{4,6},{1,5}] => {{1,5},{2},{3},{4,6}}
[3,5,3,1,5,2] => [2,5,1,3,5,3] => [{3},{1},{4,6},{2,5}] => {{1},{2,5},{3},{4,6}}
[3,5,3,2,1,5] => [5,1,2,3,5,3] => [{2},{3},{4,6},{1,5}] => {{1,5},{2},{3},{4,6}}
[3,5,3,2,5,1] => [1,5,2,3,5,3] => [{1},{3},{4,6},{2,5}] => {{1},{2,5},{3},{4,6}}
[3,5,3,5,1,2] => [2,1,5,3,5,3] => [{2},{1},{4,6},{3,5}] => {{1},{2},{3,5},{4,6}}
[3,5,3,5,2,1] => [1,2,5,3,5,3] => [{1},{2},{4,6},{3,5}] => {{1},{2},{3,5},{4,6}}
[3,5,5,1,2,3] => [3,2,1,5,5,3] => [{3},{2},{1,6},{4,5}] => {{1,6},{2},{3},{4,5}}
[3,5,5,1,3,2] => [2,3,1,5,5,3] => [{3},{1},{2,6},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,5,5,2,1,3] => [3,1,2,5,5,3] => [{2},{3},{1,6},{4,5}] => {{1,6},{2},{3},{4,5}}
[3,5,5,2,3,1] => [1,3,2,5,5,3] => [{1},{3},{2,6},{4,5}] => {{1},{2,6},{3},{4,5}}
[3,5,5,3,1,2] => [2,1,3,5,5,3] => [{2},{1},{3,6},{4,5}] => {{1},{2},{3,6},{4,5}}
[3,5,5,3,2,1] => [1,2,3,5,5,3] => [{1},{2},{3,6},{4,5}] => {{1},{2},{3,6},{4,5}}
[5,1,2,3,3,5] => [5,3,3,2,1,5] => [{5},{4},{2,3},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,1,2,3,5,3] => [3,5,3,2,1,5] => [{5},{4},{1,3},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,1,2,5,3,3] => [3,3,5,2,1,5] => [{5},{4},{1,2},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,1,3,2,3,5] => [5,3,2,3,1,5] => [{5},{3},{2,4},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,1,3,2,5,3] => [3,5,2,3,1,5] => [{5},{3},{1,4},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,1,3,3,2,5] => [5,2,3,3,1,5] => [{5},{2},{3,4},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,1,3,3,5,2] => [2,5,3,3,1,5] => [{5},{1},{3,4},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,1,3,5,2,3] => [3,2,5,3,1,5] => [{5},{2},{1,4},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,1,3,5,3,2] => [2,3,5,3,1,5] => [{5},{1},{2,4},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,1,5,2,3,3] => [3,3,2,5,1,5] => [{5},{3},{1,2},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,1,5,3,2,3] => [3,2,3,5,1,5] => [{5},{2},{1,3},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,1,5,3,3,2] => [2,3,3,5,1,5] => [{5},{1},{2,3},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,2,1,3,3,5] => [5,3,3,1,2,5] => [{4},{5},{2,3},{1,6}] => {{1,6},{2,3},{4},{5}}
[5,2,1,3,5,3] => [3,5,3,1,2,5] => [{4},{5},{1,3},{2,6}] => {{1,3},{2,6},{4},{5}}
[5,2,1,5,3,3] => [3,3,5,1,2,5] => [{4},{5},{1,2},{3,6}] => {{1,2},{3,6},{4},{5}}
[5,2,3,1,3,5] => [5,3,1,3,2,5] => [{3},{5},{2,4},{1,6}] => {{1,6},{2,4},{3},{5}}
[5,2,3,1,5,3] => [3,5,1,3,2,5] => [{3},{5},{1,4},{2,6}] => {{1,4},{2,6},{3},{5}}
[5,2,3,3,1,5] => [5,1,3,3,2,5] => [{2},{5},{3,4},{1,6}] => {{1,6},{2},{3,4},{5}}
[5,2,3,3,5,1] => [1,5,3,3,2,5] => [{1},{5},{3,4},{2,6}] => {{1},{2,6},{3,4},{5}}
[5,2,3,5,1,3] => [3,1,5,3,2,5] => [{2},{5},{1,4},{3,6}] => {{1,4},{2},{3,6},{5}}
[5,2,3,5,3,1] => [1,3,5,3,2,5] => [{1},{5},{2,4},{3,6}] => {{1},{2,4},{3,6},{5}}
[5,2,5,1,3,3] => [3,3,1,5,2,5] => [{3},{5},{1,2},{4,6}] => {{1,2},{3},{4,6},{5}}
[5,2,5,3,1,3] => [3,1,3,5,2,5] => [{2},{5},{1,3},{4,6}] => {{1,3},{2},{4,6},{5}}
[5,2,5,3,3,1] => [1,3,3,5,2,5] => [{1},{5},{2,3},{4,6}] => {{1},{2,3},{4,6},{5}}
[5,3,1,2,3,5] => [5,3,2,1,3,5] => [{4},{3},{2,5},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,3,1,2,5,3] => [3,5,2,1,3,5] => [{4},{3},{1,5},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,3,1,3,2,5] => [5,2,3,1,3,5] => [{4},{2},{3,5},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,3,1,3,5,2] => [2,5,3,1,3,5] => [{4},{1},{3,5},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,3,1,5,2,3] => [3,2,5,1,3,5] => [{4},{2},{1,5},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,3,1,5,3,2] => [2,3,5,1,3,5] => [{4},{1},{2,5},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,3,2,1,3,5] => [5,3,1,2,3,5] => [{3},{4},{2,5},{1,6}] => {{1,6},{2,5},{3},{4}}
[5,3,2,1,5,3] => [3,5,1,2,3,5] => [{3},{4},{1,5},{2,6}] => {{1,5},{2,6},{3},{4}}
[5,3,2,3,1,5] => [5,1,3,2,3,5] => [{2},{4},{3,5},{1,6}] => {{1,6},{2},{3,5},{4}}
[5,3,2,3,5,1] => [1,5,3,2,3,5] => [{1},{4},{3,5},{2,6}] => {{1},{2,6},{3,5},{4}}
[5,3,2,5,1,3] => [3,1,5,2,3,5] => [{2},{4},{1,5},{3,6}] => {{1,5},{2},{3,6},{4}}
[5,3,2,5,3,1] => [1,3,5,2,3,5] => [{1},{4},{2,5},{3,6}] => {{1},{2,5},{3,6},{4}}
[5,3,3,1,2,5] => [5,2,1,3,3,5] => [{3},{2},{4,5},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,3,3,1,5,2] => [2,5,1,3,3,5] => [{3},{1},{4,5},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,3,3,2,1,5] => [5,1,2,3,3,5] => [{2},{3},{4,5},{1,6}] => {{1,6},{2},{3},{4,5}}
[5,3,3,2,5,1] => [1,5,2,3,3,5] => [{1},{3},{4,5},{2,6}] => {{1},{2,6},{3},{4,5}}
[5,3,3,5,1,2] => [2,1,5,3,3,5] => [{2},{1},{4,5},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,3,3,5,2,1] => [1,2,5,3,3,5] => [{1},{2},{4,5},{3,6}] => {{1},{2},{3,6},{4,5}}
[5,3,5,1,2,3] => [3,2,1,5,3,5] => [{3},{2},{1,5},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,3,5,1,3,2] => [2,3,1,5,3,5] => [{3},{1},{2,5},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,3,5,2,1,3] => [3,1,2,5,3,5] => [{2},{3},{1,5},{4,6}] => {{1,5},{2},{3},{4,6}}
[5,3,5,2,3,1] => [1,3,2,5,3,5] => [{1},{3},{2,5},{4,6}] => {{1},{2,5},{3},{4,6}}
[5,3,5,3,1,2] => [2,1,3,5,3,5] => [{2},{1},{3,5},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,3,5,3,2,1] => [1,2,3,5,3,5] => [{1},{2},{3,5},{4,6}] => {{1},{2},{3,5},{4,6}}
[5,5,1,2,3,3] => [3,3,2,1,5,5] => [{4},{3},{1,2},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,1,3,2,3] => [3,2,3,1,5,5] => [{4},{2},{1,3},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,1,3,3,2] => [2,3,3,1,5,5] => [{4},{1},{2,3},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,2,1,3,3] => [3,3,1,2,5,5] => [{3},{4},{1,2},{5,6}] => {{1,2},{3},{4},{5,6}}
[5,5,2,3,1,3] => [3,1,3,2,5,5] => [{2},{4},{1,3},{5,6}] => {{1,3},{2},{4},{5,6}}
[5,5,2,3,3,1] => [1,3,3,2,5,5] => [{1},{4},{2,3},{5,6}] => {{1},{2,3},{4},{5,6}}
[5,5,3,1,2,3] => [3,2,1,3,5,5] => [{3},{2},{1,4},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,3,1,3,2] => [2,3,1,3,5,5] => [{3},{1},{2,4},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,3,2,1,3] => [3,1,2,3,5,5] => [{2},{3},{1,4},{5,6}] => {{1,4},{2},{3},{5,6}}
[5,5,3,2,3,1] => [1,3,2,3,5,5] => [{1},{3},{2,4},{5,6}] => {{1},{2,4},{3},{5,6}}
[5,5,3,3,1,2] => [2,1,3,3,5,5] => [{2},{1},{3,4},{5,6}] => {{1},{2},{3,4},{5,6}}
[5,5,3,3,2,1] => [1,2,3,3,5,5] => [{1},{2},{3,4},{5,6}] => {{1},{2},{3,4},{5,6}}
[1,2,3,3,5,6] => [6,5,3,3,2,1] => [{6},{5},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,3,6,5] => [5,6,3,3,2,1] => [{6},{5},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,5,3,6] => [6,3,5,3,2,1] => [{6},{5},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,5,6,3] => [3,6,5,3,2,1] => [{6},{5},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[1,2,3,6,3,5] => [5,3,6,3,2,1] => [{6},{5},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[1,2,3,6,5,3] => [3,5,6,3,2,1] => [{6},{5},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[1,2,5,3,3,6] => [6,3,3,5,2,1] => [{6},{5},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[1,2,5,3,6,3] => [3,6,3,5,2,1] => [{6},{5},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[1,2,5,6,3,3] => [3,3,6,5,2,1] => [{6},{5},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[1,2,6,3,3,5] => [5,3,3,6,2,1] => [{6},{5},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[1,2,6,3,5,3] => [3,5,3,6,2,1] => [{6},{5},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[1,2,6,5,3,3] => [3,3,5,6,2,1] => [{6},{5},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[1,3,2,3,5,6] => [6,5,3,2,3,1] => [{6},{4},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,3,6,5] => [5,6,3,2,3,1] => [{6},{4},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,2,5,3,6] => [6,3,5,2,3,1] => [{6},{4},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,5,6,3] => [3,6,5,2,3,1] => [{6},{4},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,2,6,3,5] => [5,3,6,2,3,1] => [{6},{4},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,2,6,5,3] => [3,5,6,2,3,1] => [{6},{4},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,3,2,5,6] => [6,5,2,3,3,1] => [{6},{3},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,2,6,5] => [5,6,2,3,3,1] => [{6},{3},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,5,2,6] => [6,2,5,3,3,1] => [{6},{2},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,5,6,2] => [2,6,5,3,3,1] => [{6},{1},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,6,2,5] => [5,2,6,3,3,1] => [{6},{2},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,3,6,5,2] => [2,5,6,3,3,1] => [{6},{1},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[1,3,5,2,3,6] => [6,3,2,5,3,1] => [{6},{3},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[1,3,5,2,6,3] => [3,6,2,5,3,1] => [{6},{3},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[1,3,5,3,2,6] => [6,2,3,5,3,1] => [{6},{2},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[1,3,5,3,6,2] => [2,6,3,5,3,1] => [{6},{1},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[1,3,5,6,2,3] => [3,2,6,5,3,1] => [{6},{2},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[1,3,5,6,3,2] => [2,3,6,5,3,1] => [{6},{1},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[1,3,6,2,3,5] => [5,3,2,6,3,1] => [{6},{3},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[1,3,6,2,5,3] => [3,5,2,6,3,1] => [{6},{3},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,6,3,2,5] => [5,2,3,6,3,1] => [{6},{2},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,6,3,5,2] => [2,5,3,6,3,1] => [{6},{1},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[1,3,6,5,2,3] => [3,2,5,6,3,1] => [{6},{2},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[1,3,6,5,3,2] => [2,3,5,6,3,1] => [{6},{1},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[1,5,2,3,3,6] => [6,3,3,2,5,1] => [{6},{4},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[1,5,2,3,6,3] => [3,6,3,2,5,1] => [{6},{4},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[1,5,2,6,3,3] => [3,3,6,2,5,1] => [{6},{4},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[1,5,3,2,3,6] => [6,3,2,3,5,1] => [{6},{3},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[1,5,3,2,6,3] => [3,6,2,3,5,1] => [{6},{3},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,3,2,6] => [6,2,3,3,5,1] => [{6},{2},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[1,5,3,3,6,2] => [2,6,3,3,5,1] => [{6},{1},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[1,5,3,6,2,3] => [3,2,6,3,5,1] => [{6},{2},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[1,5,3,6,3,2] => [2,3,6,3,5,1] => [{6},{1},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[1,5,6,2,3,3] => [3,3,2,6,5,1] => [{6},{3},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[1,5,6,3,2,3] => [3,2,3,6,5,1] => [{6},{2},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[1,5,6,3,3,2] => [2,3,3,6,5,1] => [{6},{1},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[1,6,2,3,3,5] => [5,3,3,2,6,1] => [{6},{4},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,2,3,5,3] => [3,5,3,2,6,1] => [{6},{4},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,2,5,3,3] => [3,3,5,2,6,1] => [{6},{4},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,3,2,3,5] => [5,3,2,3,6,1] => [{6},{3},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,3,2,5,3] => [3,5,2,3,6,1] => [{6},{3},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,3,2,5] => [5,2,3,3,6,1] => [{6},{2},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,3,3,5,2] => [2,5,3,3,6,1] => [{6},{1},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,3,5,2,3] => [3,2,5,3,6,1] => [{6},{2},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,3,5,3,2] => [2,3,5,3,6,1] => [{6},{1},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,5,2,3,3] => [3,3,2,5,6,1] => [{6},{3},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,5,3,2,3] => [3,2,3,5,6,1] => [{6},{2},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,5,3,3,2] => [2,3,3,5,6,1] => [{6},{1},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[2,1,3,3,5,6] => [6,5,3,3,1,2] => [{5},{6},{3,4},{2},{1}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,3,6,5] => [5,6,3,3,1,2] => [{5},{6},{3,4},{1},{2}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,5,3,6] => [6,3,5,3,1,2] => [{5},{6},{2,4},{3},{1}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,5,6,3] => [3,6,5,3,1,2] => [{5},{6},{1,4},{3},{2}] => {{1,4},{2},{3},{5},{6}}
[2,1,3,6,3,5] => [5,3,6,3,1,2] => [{5},{6},{2,4},{1},{3}] => {{1},{2,4},{3},{5},{6}}
[2,1,3,6,5,3] => [3,5,6,3,1,2] => [{5},{6},{1,4},{2},{3}] => {{1,4},{2},{3},{5},{6}}
[2,1,5,3,3,6] => [6,3,3,5,1,2] => [{5},{6},{2,3},{4},{1}] => {{1},{2,3},{4},{5},{6}}
[2,1,5,3,6,3] => [3,6,3,5,1,2] => [{5},{6},{1,3},{4},{2}] => {{1,3},{2},{4},{5},{6}}
[2,1,5,6,3,3] => [3,3,6,5,1,2] => [{5},{6},{1,2},{4},{3}] => {{1,2},{3},{4},{5},{6}}
[2,1,6,3,3,5] => [5,3,3,6,1,2] => [{5},{6},{2,3},{1},{4}] => {{1},{2,3},{4},{5},{6}}
[2,1,6,3,5,3] => [3,5,3,6,1,2] => [{5},{6},{1,3},{2},{4}] => {{1,3},{2},{4},{5},{6}}
[2,1,6,5,3,3] => [3,3,5,6,1,2] => [{5},{6},{1,2},{3},{4}] => {{1,2},{3},{4},{5},{6}}
[2,3,1,3,5,6] => [6,5,3,1,3,2] => [{4},{6},{3,5},{2},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,3,6,5] => [5,6,3,1,3,2] => [{4},{6},{3,5},{1},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,1,5,3,6] => [6,3,5,1,3,2] => [{4},{6},{2,5},{3},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,5,6,3] => [3,6,5,1,3,2] => [{4},{6},{1,5},{3},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,1,6,3,5] => [5,3,6,1,3,2] => [{4},{6},{2,5},{1},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,1,6,5,3] => [3,5,6,1,3,2] => [{4},{6},{1,5},{2},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,3,1,5,6] => [6,5,1,3,3,2] => [{3},{6},{4,5},{2},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,1,6,5] => [5,6,1,3,3,2] => [{3},{6},{4,5},{1},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,5,1,6] => [6,1,5,3,3,2] => [{2},{6},{4,5},{3},{1}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,5,6,1] => [1,6,5,3,3,2] => [{1},{6},{4,5},{3},{2}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,6,1,5] => [5,1,6,3,3,2] => [{2},{6},{4,5},{1},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,3,6,5,1] => [1,5,6,3,3,2] => [{1},{6},{4,5},{2},{3}] => {{1},{2},{3},{4,5},{6}}
[2,3,5,1,3,6] => [6,3,1,5,3,2] => [{3},{6},{2,5},{4},{1}] => {{1},{2,5},{3},{4},{6}}
[2,3,5,1,6,3] => [3,6,1,5,3,2] => [{3},{6},{1,5},{4},{2}] => {{1,5},{2},{3},{4},{6}}
[2,3,5,3,1,6] => [6,1,3,5,3,2] => [{2},{6},{3,5},{4},{1}] => {{1},{2},{3,5},{4},{6}}
[2,3,5,3,6,1] => [1,6,3,5,3,2] => [{1},{6},{3,5},{4},{2}] => {{1},{2},{3,5},{4},{6}}
[2,3,5,6,1,3] => [3,1,6,5,3,2] => [{2},{6},{1,5},{4},{3}] => {{1,5},{2},{3},{4},{6}}
[2,3,5,6,3,1] => [1,3,6,5,3,2] => [{1},{6},{2,5},{4},{3}] => {{1},{2,5},{3},{4},{6}}
[2,3,6,1,3,5] => [5,3,1,6,3,2] => [{3},{6},{2,5},{1},{4}] => {{1},{2,5},{3},{4},{6}}
[2,3,6,1,5,3] => [3,5,1,6,3,2] => [{3},{6},{1,5},{2},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,6,3,1,5] => [5,1,3,6,3,2] => [{2},{6},{3,5},{1},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,6,3,5,1] => [1,5,3,6,3,2] => [{1},{6},{3,5},{2},{4}] => {{1},{2},{3,5},{4},{6}}
[2,3,6,5,1,3] => [3,1,5,6,3,2] => [{2},{6},{1,5},{3},{4}] => {{1,5},{2},{3},{4},{6}}
[2,3,6,5,3,1] => [1,3,5,6,3,2] => [{1},{6},{2,5},{3},{4}] => {{1},{2,5},{3},{4},{6}}
[2,5,1,3,3,6] => [6,3,3,1,5,2] => [{4},{6},{2,3},{5},{1}] => {{1},{2,3},{4},{5},{6}}
[2,5,1,3,6,3] => [3,6,3,1,5,2] => [{4},{6},{1,3},{5},{2}] => {{1,3},{2},{4},{5},{6}}
[2,5,1,6,3,3] => [3,3,6,1,5,2] => [{4},{6},{1,2},{5},{3}] => {{1,2},{3},{4},{5},{6}}
[2,5,3,1,3,6] => [6,3,1,3,5,2] => [{3},{6},{2,4},{5},{1}] => {{1},{2,4},{3},{5},{6}}
[2,5,3,1,6,3] => [3,6,1,3,5,2] => [{3},{6},{1,4},{5},{2}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,3,1,6] => [6,1,3,3,5,2] => [{2},{6},{3,4},{5},{1}] => {{1},{2},{3,4},{5},{6}}
[2,5,3,3,6,1] => [1,6,3,3,5,2] => [{1},{6},{3,4},{5},{2}] => {{1},{2},{3,4},{5},{6}}
[2,5,3,6,1,3] => [3,1,6,3,5,2] => [{2},{6},{1,4},{5},{3}] => {{1,4},{2},{3},{5},{6}}
[2,5,3,6,3,1] => [1,3,6,3,5,2] => [{1},{6},{2,4},{5},{3}] => {{1},{2,4},{3},{5},{6}}
[2,5,6,1,3,3] => [3,3,1,6,5,2] => [{3},{6},{1,2},{5},{4}] => {{1,2},{3},{4},{5},{6}}
[2,5,6,3,1,3] => [3,1,3,6,5,2] => [{2},{6},{1,3},{5},{4}] => {{1,3},{2},{4},{5},{6}}
[2,5,6,3,3,1] => [1,3,3,6,5,2] => [{1},{6},{2,3},{5},{4}] => {{1},{2,3},{4},{5},{6}}
[2,6,1,3,3,5] => [5,3,3,1,6,2] => [{4},{6},{2,3},{1},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,1,3,5,3] => [3,5,3,1,6,2] => [{4},{6},{1,3},{2},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,1,5,3,3] => [3,3,5,1,6,2] => [{4},{6},{1,2},{3},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,3,1,3,5] => [5,3,1,3,6,2] => [{3},{6},{2,4},{1},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,3,1,5,3] => [3,5,1,3,6,2] => [{3},{6},{1,4},{2},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,3,1,5] => [5,1,3,3,6,2] => [{2},{6},{3,4},{1},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,3,3,5,1] => [1,5,3,3,6,2] => [{1},{6},{3,4},{2},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,3,5,1,3] => [3,1,5,3,6,2] => [{2},{6},{1,4},{3},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,3,5,3,1] => [1,3,5,3,6,2] => [{1},{6},{2,4},{3},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,5,1,3,3] => [3,3,1,5,6,2] => [{3},{6},{1,2},{4},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,5,3,1,3] => [3,1,3,5,6,2] => [{2},{6},{1,3},{4},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,5,3,3,1] => [1,3,3,5,6,2] => [{1},{6},{2,3},{4},{5}] => {{1},{2,3},{4},{5},{6}}
[3,1,2,3,5,6] => [6,5,3,2,1,3] => [{5},{4},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,3,6,5] => [5,6,3,2,1,3] => [{5},{4},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,2,5,3,6] => [6,3,5,2,1,3] => [{5},{4},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,5,6,3] => [3,6,5,2,1,3] => [{5},{4},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,2,6,3,5] => [5,3,6,2,1,3] => [{5},{4},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,2,6,5,3] => [3,5,6,2,1,3] => [{5},{4},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,3,2,5,6] => [6,5,2,3,1,3] => [{5},{3},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,2,6,5] => [5,6,2,3,1,3] => [{5},{3},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,5,2,6] => [6,2,5,3,1,3] => [{5},{2},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,5,6,2] => [2,6,5,3,1,3] => [{5},{1},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,6,2,5] => [5,2,6,3,1,3] => [{5},{2},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,3,6,5,2] => [2,5,6,3,1,3] => [{5},{1},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,1,5,2,3,6] => [6,3,2,5,1,3] => [{5},{3},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,1,5,2,6,3] => [3,6,2,5,1,3] => [{5},{3},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,1,5,3,2,6] => [6,2,3,5,1,3] => [{5},{2},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,1,5,3,6,2] => [2,6,3,5,1,3] => [{5},{1},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,1,5,6,2,3] => [3,2,6,5,1,3] => [{5},{2},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,1,5,6,3,2] => [2,3,6,5,1,3] => [{5},{1},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,1,6,2,3,5] => [5,3,2,6,1,3] => [{5},{3},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,1,6,2,5,3] => [3,5,2,6,1,3] => [{5},{3},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,6,3,2,5] => [5,2,3,6,1,3] => [{5},{2},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,6,3,5,2] => [2,5,3,6,1,3] => [{5},{1},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,1,6,5,2,3] => [3,2,5,6,1,3] => [{5},{2},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,1,6,5,3,2] => [2,3,5,6,1,3] => [{5},{1},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,3,5,6] => [6,5,3,1,2,3] => [{4},{5},{3,6},{2},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,3,6,5] => [5,6,3,1,2,3] => [{4},{5},{3,6},{1},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,1,5,3,6] => [6,3,5,1,2,3] => [{4},{5},{2,6},{3},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,5,6,3] => [3,6,5,1,2,3] => [{4},{5},{1,6},{3},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,1,6,3,5] => [5,3,6,1,2,3] => [{4},{5},{2,6},{1},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,1,6,5,3] => [3,5,6,1,2,3] => [{4},{5},{1,6},{2},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,3,1,5,6] => [6,5,1,3,2,3] => [{3},{5},{4,6},{2},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,1,6,5] => [5,6,1,3,2,3] => [{3},{5},{4,6},{1},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,5,1,6] => [6,1,5,3,2,3] => [{2},{5},{4,6},{3},{1}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,5,6,1] => [1,6,5,3,2,3] => [{1},{5},{4,6},{3},{2}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,6,1,5] => [5,1,6,3,2,3] => [{2},{5},{4,6},{1},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,3,6,5,1] => [1,5,6,3,2,3] => [{1},{5},{4,6},{2},{3}] => {{1},{2},{3},{4,6},{5}}
[3,2,5,1,3,6] => [6,3,1,5,2,3] => [{3},{5},{2,6},{4},{1}] => {{1},{2,6},{3},{4},{5}}
[3,2,5,1,6,3] => [3,6,1,5,2,3] => [{3},{5},{1,6},{4},{2}] => {{1,6},{2},{3},{4},{5}}
[3,2,5,3,1,6] => [6,1,3,5,2,3] => [{2},{5},{3,6},{4},{1}] => {{1},{2},{3,6},{4},{5}}
[3,2,5,3,6,1] => [1,6,3,5,2,3] => [{1},{5},{3,6},{4},{2}] => {{1},{2},{3,6},{4},{5}}
[3,2,5,6,1,3] => [3,1,6,5,2,3] => [{2},{5},{1,6},{4},{3}] => {{1,6},{2},{3},{4},{5}}
[3,2,5,6,3,1] => [1,3,6,5,2,3] => [{1},{5},{2,6},{4},{3}] => {{1},{2,6},{3},{4},{5}}
[3,2,6,1,3,5] => [5,3,1,6,2,3] => [{3},{5},{2,6},{1},{4}] => {{1},{2,6},{3},{4},{5}}
[3,2,6,1,5,3] => [3,5,1,6,2,3] => [{3},{5},{1,6},{2},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,6,3,1,5] => [5,1,3,6,2,3] => [{2},{5},{3,6},{1},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,6,3,5,1] => [1,5,3,6,2,3] => [{1},{5},{3,6},{2},{4}] => {{1},{2},{3,6},{4},{5}}
[3,2,6,5,1,3] => [3,1,5,6,2,3] => [{2},{5},{1,6},{3},{4}] => {{1,6},{2},{3},{4},{5}}
[3,2,6,5,3,1] => [1,3,5,6,2,3] => [{1},{5},{2,6},{3},{4}] => {{1},{2,6},{3},{4},{5}}
[3,3,1,2,5,6] => [6,5,2,1,3,3] => [{4},{3},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,2,6,5] => [5,6,2,1,3,3] => [{4},{3},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,5,2,6] => [6,2,5,1,3,3] => [{4},{2},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,5,6,2] => [2,6,5,1,3,3] => [{4},{1},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,6,2,5] => [5,2,6,1,3,3] => [{4},{2},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,1,6,5,2] => [2,5,6,1,3,3] => [{4},{1},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,5,6] => [6,5,1,2,3,3] => [{3},{4},{5,6},{2},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,1,6,5] => [5,6,1,2,3,3] => [{3},{4},{5,6},{1},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,5,1,6] => [6,1,5,2,3,3] => [{2},{4},{5,6},{3},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,5,6,1] => [1,6,5,2,3,3] => [{1},{4},{5,6},{3},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,6,1,5] => [5,1,6,2,3,3] => [{2},{4},{5,6},{1},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,2,6,5,1] => [1,5,6,2,3,3] => [{1},{4},{5,6},{2},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,1,2,6] => [6,2,1,5,3,3] => [{3},{2},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,1,6,2] => [2,6,1,5,3,3] => [{3},{1},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,2,1,6] => [6,1,2,5,3,3] => [{2},{3},{5,6},{4},{1}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,2,6,1] => [1,6,2,5,3,3] => [{1},{3},{5,6},{4},{2}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,6,1,2] => [2,1,6,5,3,3] => [{2},{1},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,5,6,2,1] => [1,2,6,5,3,3] => [{1},{2},{5,6},{4},{3}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,1,2,5] => [5,2,1,6,3,3] => [{3},{2},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,1,5,2] => [2,5,1,6,3,3] => [{3},{1},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,2,1,5] => [5,1,2,6,3,3] => [{2},{3},{5,6},{1},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,2,5,1] => [1,5,2,6,3,3] => [{1},{3},{5,6},{2},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,5,1,2] => [2,1,5,6,3,3] => [{2},{1},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,3,6,5,2,1] => [1,2,5,6,3,3] => [{1},{2},{5,6},{3},{4}] => {{1},{2},{3},{4},{5,6}}
[3,5,1,2,3,6] => [6,3,2,1,5,3] => [{4},{3},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,5,1,2,6,3] => [3,6,2,1,5,3] => [{4},{3},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,5,1,3,2,6] => [6,2,3,1,5,3] => [{4},{2},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,5,1,3,6,2] => [2,6,3,1,5,3] => [{4},{1},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,5,1,6,2,3] => [3,2,6,1,5,3] => [{4},{2},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,5,1,6,3,2] => [2,3,6,1,5,3] => [{4},{1},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,5,2,1,3,6] => [6,3,1,2,5,3] => [{3},{4},{2,6},{5},{1}] => {{1},{2,6},{3},{4},{5}}
[3,5,2,1,6,3] => [3,6,1,2,5,3] => [{3},{4},{1,6},{5},{2}] => {{1,6},{2},{3},{4},{5}}
[3,5,2,3,1,6] => [6,1,3,2,5,3] => [{2},{4},{3,6},{5},{1}] => {{1},{2},{3,6},{4},{5}}
[3,5,2,3,6,1] => [1,6,3,2,5,3] => [{1},{4},{3,6},{5},{2}] => {{1},{2},{3,6},{4},{5}}
[3,5,2,6,1,3] => [3,1,6,2,5,3] => [{2},{4},{1,6},{5},{3}] => {{1,6},{2},{3},{4},{5}}
[3,5,2,6,3,1] => [1,3,6,2,5,3] => [{1},{4},{2,6},{5},{3}] => {{1},{2,6},{3},{4},{5}}
[3,5,3,1,2,6] => [6,2,1,3,5,3] => [{3},{2},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,1,6,2] => [2,6,1,3,5,3] => [{3},{1},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,2,1,6] => [6,1,2,3,5,3] => [{2},{3},{4,6},{5},{1}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,2,6,1] => [1,6,2,3,5,3] => [{1},{3},{4,6},{5},{2}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,6,1,2] => [2,1,6,3,5,3] => [{2},{1},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,5,3,6,2,1] => [1,2,6,3,5,3] => [{1},{2},{4,6},{5},{3}] => {{1},{2},{3},{4,6},{5}}
[3,5,6,1,2,3] => [3,2,1,6,5,3] => [{3},{2},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,5,6,1,3,2] => [2,3,1,6,5,3] => [{3},{1},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,5,6,2,1,3] => [3,1,2,6,5,3] => [{2},{3},{1,6},{5},{4}] => {{1,6},{2},{3},{4},{5}}
[3,5,6,2,3,1] => [1,3,2,6,5,3] => [{1},{3},{2,6},{5},{4}] => {{1},{2,6},{3},{4},{5}}
[3,5,6,3,1,2] => [2,1,3,6,5,3] => [{2},{1},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,5,6,3,2,1] => [1,2,3,6,5,3] => [{1},{2},{3,6},{5},{4}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,2,3,5] => [5,3,2,1,6,3] => [{4},{3},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,1,2,5,3] => [3,5,2,1,6,3] => [{4},{3},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,1,3,2,5] => [5,2,3,1,6,3] => [{4},{2},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,3,5,2] => [2,5,3,1,6,3] => [{4},{1},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,1,5,2,3] => [3,2,5,1,6,3] => [{4},{2},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,1,5,3,2] => [2,3,5,1,6,3] => [{4},{1},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,2,1,3,5] => [5,3,1,2,6,3] => [{3},{4},{2,6},{1},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,2,1,5,3] => [3,5,1,2,6,3] => [{3},{4},{1,6},{2},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,2,3,1,5] => [5,1,3,2,6,3] => [{2},{4},{3,6},{1},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,2,3,5,1] => [1,5,3,2,6,3] => [{1},{4},{3,6},{2},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,2,5,1,3] => [3,1,5,2,6,3] => [{2},{4},{1,6},{3},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,2,5,3,1] => [1,3,5,2,6,3] => [{1},{4},{2,6},{3},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,3,1,2,5] => [5,2,1,3,6,3] => [{3},{2},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,1,5,2] => [2,5,1,3,6,3] => [{3},{1},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,2,1,5] => [5,1,2,3,6,3] => [{2},{3},{4,6},{1},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,2,5,1] => [1,5,2,3,6,3] => [{1},{3},{4,6},{2},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,5,1,2] => [2,1,5,3,6,3] => [{2},{1},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,3,5,2,1] => [1,2,5,3,6,3] => [{1},{2},{4,6},{3},{5}] => {{1},{2},{3},{4,6},{5}}
[3,6,5,1,2,3] => [3,2,1,5,6,3] => [{3},{2},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,5,1,3,2] => [2,3,1,5,6,3] => [{3},{1},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,5,2,1,3] => [3,1,2,5,6,3] => [{2},{3},{1,6},{4},{5}] => {{1,6},{2},{3},{4},{5}}
[3,6,5,2,3,1] => [1,3,2,5,6,3] => [{1},{3},{2,6},{4},{5}] => {{1},{2,6},{3},{4},{5}}
[3,6,5,3,1,2] => [2,1,3,5,6,3] => [{2},{1},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[3,6,5,3,2,1] => [1,2,3,5,6,3] => [{1},{2},{3,6},{4},{5}] => {{1},{2},{3,6},{4},{5}}
[5,1,2,3,3,6] => [6,3,3,2,1,5] => [{5},{4},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,1,2,3,6,3] => [3,6,3,2,1,5] => [{5},{4},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,1,2,6,3,3] => [3,3,6,2,1,5] => [{5},{4},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,1,3,2,3,6] => [6,3,2,3,1,5] => [{5},{3},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,1,3,2,6,3] => [3,6,2,3,1,5] => [{5},{3},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,3,2,6] => [6,2,3,3,1,5] => [{5},{2},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,1,3,3,6,2] => [2,6,3,3,1,5] => [{5},{1},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,1,3,6,2,3] => [3,2,6,3,1,5] => [{5},{2},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,1,3,6,3,2] => [2,3,6,3,1,5] => [{5},{1},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,1,6,2,3,3] => [3,3,2,6,1,5] => [{5},{3},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,1,6,3,2,3] => [3,2,3,6,1,5] => [{5},{2},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,1,6,3,3,2] => [2,3,3,6,1,5] => [{5},{1},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,2,1,3,3,6] => [6,3,3,1,2,5] => [{4},{5},{2,3},{6},{1}] => {{1},{2,3},{4},{5},{6}}
[5,2,1,3,6,3] => [3,6,3,1,2,5] => [{4},{5},{1,3},{6},{2}] => {{1,3},{2},{4},{5},{6}}
[5,2,1,6,3,3] => [3,3,6,1,2,5] => [{4},{5},{1,2},{6},{3}] => {{1,2},{3},{4},{5},{6}}
[5,2,3,1,3,6] => [6,3,1,3,2,5] => [{3},{5},{2,4},{6},{1}] => {{1},{2,4},{3},{5},{6}}
[5,2,3,1,6,3] => [3,6,1,3,2,5] => [{3},{5},{1,4},{6},{2}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,3,1,6] => [6,1,3,3,2,5] => [{2},{5},{3,4},{6},{1}] => {{1},{2},{3,4},{5},{6}}
[5,2,3,3,6,1] => [1,6,3,3,2,5] => [{1},{5},{3,4},{6},{2}] => {{1},{2},{3,4},{5},{6}}
[5,2,3,6,1,3] => [3,1,6,3,2,5] => [{2},{5},{1,4},{6},{3}] => {{1,4},{2},{3},{5},{6}}
[5,2,3,6,3,1] => [1,3,6,3,2,5] => [{1},{5},{2,4},{6},{3}] => {{1},{2,4},{3},{5},{6}}
[5,2,6,1,3,3] => [3,3,1,6,2,5] => [{3},{5},{1,2},{6},{4}] => {{1,2},{3},{4},{5},{6}}
[5,2,6,3,1,3] => [3,1,3,6,2,5] => [{2},{5},{1,3},{6},{4}] => {{1,3},{2},{4},{5},{6}}
[5,2,6,3,3,1] => [1,3,3,6,2,5] => [{1},{5},{2,3},{6},{4}] => {{1},{2,3},{4},{5},{6}}
[5,3,1,2,3,6] => [6,3,2,1,3,5] => [{4},{3},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,3,1,2,6,3] => [3,6,2,1,3,5] => [{4},{3},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,3,1,3,2,6] => [6,2,3,1,3,5] => [{4},{2},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,3,1,3,6,2] => [2,6,3,1,3,5] => [{4},{1},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,3,1,6,2,3] => [3,2,6,1,3,5] => [{4},{2},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,3,1,6,3,2] => [2,3,6,1,3,5] => [{4},{1},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,3,2,1,3,6] => [6,3,1,2,3,5] => [{3},{4},{2,5},{6},{1}] => {{1},{2,5},{3},{4},{6}}
[5,3,2,1,6,3] => [3,6,1,2,3,5] => [{3},{4},{1,5},{6},{2}] => {{1,5},{2},{3},{4},{6}}
[5,3,2,3,1,6] => [6,1,3,2,3,5] => [{2},{4},{3,5},{6},{1}] => {{1},{2},{3,5},{4},{6}}
[5,3,2,3,6,1] => [1,6,3,2,3,5] => [{1},{4},{3,5},{6},{2}] => {{1},{2},{3,5},{4},{6}}
[5,3,2,6,1,3] => [3,1,6,2,3,5] => [{2},{4},{1,5},{6},{3}] => {{1,5},{2},{3},{4},{6}}
[5,3,2,6,3,1] => [1,3,6,2,3,5] => [{1},{4},{2,5},{6},{3}] => {{1},{2,5},{3},{4},{6}}
[5,3,3,1,2,6] => [6,2,1,3,3,5] => [{3},{2},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,1,6,2] => [2,6,1,3,3,5] => [{3},{1},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,2,1,6] => [6,1,2,3,3,5] => [{2},{3},{4,5},{6},{1}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,2,6,1] => [1,6,2,3,3,5] => [{1},{3},{4,5},{6},{2}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,6,1,2] => [2,1,6,3,3,5] => [{2},{1},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,3,3,6,2,1] => [1,2,6,3,3,5] => [{1},{2},{4,5},{6},{3}] => {{1},{2},{3},{4,5},{6}}
[5,3,6,1,2,3] => [3,2,1,6,3,5] => [{3},{2},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,3,6,1,3,2] => [2,3,1,6,3,5] => [{3},{1},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,3,6,2,1,3] => [3,1,2,6,3,5] => [{2},{3},{1,5},{6},{4}] => {{1,5},{2},{3},{4},{6}}
[5,3,6,2,3,1] => [1,3,2,6,3,5] => [{1},{3},{2,5},{6},{4}] => {{1},{2,5},{3},{4},{6}}
[5,3,6,3,1,2] => [2,1,3,6,3,5] => [{2},{1},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,3,6,3,2,1] => [1,2,3,6,3,5] => [{1},{2},{3,5},{6},{4}] => {{1},{2},{3,5},{4},{6}}
[5,6,1,2,3,3] => [3,3,2,1,6,5] => [{4},{3},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,1,3,2,3] => [3,2,3,1,6,5] => [{4},{2},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,1,3,3,2] => [2,3,3,1,6,5] => [{4},{1},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,2,1,3,3] => [3,3,1,2,6,5] => [{3},{4},{1,2},{6},{5}] => {{1,2},{3},{4},{5},{6}}
[5,6,2,3,1,3] => [3,1,3,2,6,5] => [{2},{4},{1,3},{6},{5}] => {{1,3},{2},{4},{5},{6}}
[5,6,2,3,3,1] => [1,3,3,2,6,5] => [{1},{4},{2,3},{6},{5}] => {{1},{2,3},{4},{5},{6}}
[5,6,3,1,2,3] => [3,2,1,3,6,5] => [{3},{2},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,3,1,3,2] => [2,3,1,3,6,5] => [{3},{1},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,3,2,1,3] => [3,1,2,3,6,5] => [{2},{3},{1,4},{6},{5}] => {{1,4},{2},{3},{5},{6}}
[5,6,3,2,3,1] => [1,3,2,3,6,5] => [{1},{3},{2,4},{6},{5}] => {{1},{2,4},{3},{5},{6}}
[5,6,3,3,1,2] => [2,1,3,3,6,5] => [{2},{1},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[5,6,3,3,2,1] => [1,2,3,3,6,5] => [{1},{2},{3,4},{6},{5}] => {{1},{2},{3,4},{5},{6}}
[6,1,2,3,3,5] => [5,3,3,2,1,6] => [{5},{4},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,2,3,5,3] => [3,5,3,2,1,6] => [{5},{4},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,2,5,3,3] => [3,3,5,2,1,6] => [{5},{4},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,3,2,3,5] => [5,3,2,3,1,6] => [{5},{3},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,3,2,5,3] => [3,5,2,3,1,6] => [{5},{3},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,3,2,5] => [5,2,3,3,1,6] => [{5},{2},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,3,3,5,2] => [2,5,3,3,1,6] => [{5},{1},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,3,5,2,3] => [3,2,5,3,1,6] => [{5},{2},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,3,5,3,2] => [2,3,5,3,1,6] => [{5},{1},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,5,2,3,3] => [3,3,2,5,1,6] => [{5},{3},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,5,3,2,3] => [3,2,3,5,1,6] => [{5},{2},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,5,3,3,2] => [2,3,3,5,1,6] => [{5},{1},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,1,3,3,5] => [5,3,3,1,2,6] => [{4},{5},{2,3},{1},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,1,3,5,3] => [3,5,3,1,2,6] => [{4},{5},{1,3},{2},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,1,5,3,3] => [3,3,5,1,2,6] => [{4},{5},{1,2},{3},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,3,1,3,5] => [5,3,1,3,2,6] => [{3},{5},{2,4},{1},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,3,1,5,3] => [3,5,1,3,2,6] => [{3},{5},{1,4},{2},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,3,1,5] => [5,1,3,3,2,6] => [{2},{5},{3,4},{1},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,3,3,5,1] => [1,5,3,3,2,6] => [{1},{5},{3,4},{2},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,3,5,1,3] => [3,1,5,3,2,6] => [{2},{5},{1,4},{3},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,3,5,3,1] => [1,3,5,3,2,6] => [{1},{5},{2,4},{3},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,5,1,3,3] => [3,3,1,5,2,6] => [{3},{5},{1,2},{4},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,5,3,1,3] => [3,1,3,5,2,6] => [{2},{5},{1,3},{4},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,5,3,3,1] => [1,3,3,5,2,6] => [{1},{5},{2,3},{4},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,1,2,3,5] => [5,3,2,1,3,6] => [{4},{3},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,1,2,5,3] => [3,5,2,1,3,6] => [{4},{3},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,1,3,2,5] => [5,2,3,1,3,6] => [{4},{2},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,1,3,5,2] => [2,5,3,1,3,6] => [{4},{1},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,1,5,2,3] => [3,2,5,1,3,6] => [{4},{2},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,1,5,3,2] => [2,3,5,1,3,6] => [{4},{1},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,2,1,3,5] => [5,3,1,2,3,6] => [{3},{4},{2,5},{1},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,2,1,5,3] => [3,5,1,2,3,6] => [{3},{4},{1,5},{2},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,2,3,1,5] => [5,1,3,2,3,6] => [{2},{4},{3,5},{1},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,2,3,5,1] => [1,5,3,2,3,6] => [{1},{4},{3,5},{2},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,2,5,1,3] => [3,1,5,2,3,6] => [{2},{4},{1,5},{3},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,2,5,3,1] => [1,3,5,2,3,6] => [{1},{4},{2,5},{3},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,3,1,2,5] => [5,2,1,3,3,6] => [{3},{2},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,1,5,2] => [2,5,1,3,3,6] => [{3},{1},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,2,1,5] => [5,1,2,3,3,6] => [{2},{3},{4,5},{1},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,2,5,1] => [1,5,2,3,3,6] => [{1},{3},{4,5},{2},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,5,1,2] => [2,1,5,3,3,6] => [{2},{1},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,3,5,2,1] => [1,2,5,3,3,6] => [{1},{2},{4,5},{3},{6}] => {{1},{2},{3},{4,5},{6}}
[6,3,5,1,2,3] => [3,2,1,5,3,6] => [{3},{2},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,5,1,3,2] => [2,3,1,5,3,6] => [{3},{1},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,5,2,1,3] => [3,1,2,5,3,6] => [{2},{3},{1,5},{4},{6}] => {{1,5},{2},{3},{4},{6}}
[6,3,5,2,3,1] => [1,3,2,5,3,6] => [{1},{3},{2,5},{4},{6}] => {{1},{2,5},{3},{4},{6}}
[6,3,5,3,1,2] => [2,1,3,5,3,6] => [{2},{1},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,3,5,3,2,1] => [1,2,3,5,3,6] => [{1},{2},{3,5},{4},{6}] => {{1},{2},{3,5},{4},{6}}
[6,5,1,2,3,3] => [3,3,2,1,5,6] => [{4},{3},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,1,3,2,3] => [3,2,3,1,5,6] => [{4},{2},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,1,3,3,2] => [2,3,3,1,5,6] => [{4},{1},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,2,1,3,3] => [3,3,1,2,5,6] => [{3},{4},{1,2},{5},{6}] => {{1,2},{3},{4},{5},{6}}
[6,5,2,3,1,3] => [3,1,3,2,5,6] => [{2},{4},{1,3},{5},{6}] => {{1,3},{2},{4},{5},{6}}
[6,5,2,3,3,1] => [1,3,3,2,5,6] => [{1},{4},{2,3},{5},{6}] => {{1},{2,3},{4},{5},{6}}
[6,5,3,1,2,3] => [3,2,1,3,5,6] => [{3},{2},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,3,1,3,2] => [2,3,1,3,5,6] => [{3},{1},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,3,2,1,3] => [3,1,2,3,5,6] => [{2},{3},{1,4},{5},{6}] => {{1,4},{2},{3},{5},{6}}
[6,5,3,2,3,1] => [1,3,2,3,5,6] => [{1},{3},{2,4},{5},{6}] => {{1},{2,4},{3},{5},{6}}
[6,5,3,3,1,2] => [2,1,3,3,5,6] => [{2},{1},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[6,5,3,3,2,1] => [1,2,3,3,5,6] => [{1},{2},{3,4},{5},{6}] => {{1},{2},{3,4},{5},{6}}
[1,2,3,4,4,4] => [4,4,4,3,2,1] => [{6},{5},{4},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[1,2,4,3,4,4] => [4,4,3,4,2,1] => [{6},{5},{3},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[1,2,4,4,3,4] => [4,3,4,4,2,1] => [{6},{5},{2},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[1,2,4,4,4,3] => [3,4,4,4,2,1] => [{6},{5},{1},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[1,3,2,4,4,4] => [4,4,4,2,3,1] => [{6},{4},{5},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[1,3,4,2,4,4] => [4,4,2,4,3,1] => [{6},{3},{5},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[1,3,4,4,2,4] => [4,2,4,4,3,1] => [{6},{2},{5},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[1,3,4,4,4,2] => [2,4,4,4,3,1] => [{6},{1},{5},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[1,4,2,3,4,4] => [4,4,3,2,4,1] => [{6},{4},{3},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[1,4,2,4,3,4] => [4,3,4,2,4,1] => [{6},{4},{2},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[1,4,2,4,4,3] => [3,4,4,2,4,1] => [{6},{4},{1},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[1,4,3,2,4,4] => [4,4,2,3,4,1] => [{6},{3},{4},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[1,4,3,4,2,4] => [4,2,4,3,4,1] => [{6},{2},{4},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[1,4,3,4,4,2] => [2,4,4,3,4,1] => [{6},{1},{4},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[1,4,4,2,3,4] => [4,3,2,4,4,1] => [{6},{3},{2},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[1,4,4,2,4,3] => [3,4,2,4,4,1] => [{6},{3},{1},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[1,4,4,3,2,4] => [4,2,3,4,4,1] => [{6},{2},{3},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[1,4,4,3,4,2] => [2,4,3,4,4,1] => [{6},{1},{3},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[1,4,4,4,2,3] => [3,2,4,4,4,1] => [{6},{2},{1},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[1,4,4,4,3,2] => [2,3,4,4,4,1] => [{6},{1},{2},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[2,1,3,4,4,4] => [4,4,4,3,1,2] => [{5},{6},{4},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[2,1,4,3,4,4] => [4,4,3,4,1,2] => [{5},{6},{3},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[2,1,4,4,3,4] => [4,3,4,4,1,2] => [{5},{6},{2},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[2,1,4,4,4,3] => [3,4,4,4,1,2] => [{5},{6},{1},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[2,3,1,4,4,4] => [4,4,4,1,3,2] => [{4},{6},{5},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[2,3,4,1,4,4] => [4,4,1,4,3,2] => [{3},{6},{5},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[2,3,4,4,1,4] => [4,1,4,4,3,2] => [{2},{6},{5},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[2,3,4,4,4,1] => [1,4,4,4,3,2] => [{1},{6},{5},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[2,4,1,3,4,4] => [4,4,3,1,4,2] => [{4},{6},{3},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[2,4,1,4,3,4] => [4,3,4,1,4,2] => [{4},{6},{2},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[2,4,1,4,4,3] => [3,4,4,1,4,2] => [{4},{6},{1},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[2,4,3,1,4,4] => [4,4,1,3,4,2] => [{3},{6},{4},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[2,4,3,4,1,4] => [4,1,4,3,4,2] => [{2},{6},{4},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[2,4,3,4,4,1] => [1,4,4,3,4,2] => [{1},{6},{4},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[2,4,4,1,3,4] => [4,3,1,4,4,2] => [{3},{6},{2},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[2,4,4,1,4,3] => [3,4,1,4,4,2] => [{3},{6},{1},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[2,4,4,3,1,4] => [4,1,3,4,4,2] => [{2},{6},{3},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[2,4,4,3,4,1] => [1,4,3,4,4,2] => [{1},{6},{3},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[2,4,4,4,1,3] => [3,1,4,4,4,2] => [{2},{6},{1},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[2,4,4,4,3,1] => [1,3,4,4,4,2] => [{1},{6},{2},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[3,1,2,4,4,4] => [4,4,4,2,1,3] => [{5},{4},{6},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[3,1,4,2,4,4] => [4,4,2,4,1,3] => [{5},{3},{6},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[3,1,4,4,2,4] => [4,2,4,4,1,3] => [{5},{2},{6},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[3,1,4,4,4,2] => [2,4,4,4,1,3] => [{5},{1},{6},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[3,2,1,4,4,4] => [4,4,4,1,2,3] => [{4},{5},{6},{1,2,3}] => {{1,2,3},{4},{5},{6}}
[3,2,4,1,4,4] => [4,4,1,4,2,3] => [{3},{5},{6},{1,2,4}] => {{1,2,4},{3},{5},{6}}
[3,2,4,4,1,4] => [4,1,4,4,2,3] => [{2},{5},{6},{1,3,4}] => {{1,3,4},{2},{5},{6}}
[3,2,4,4,4,1] => [1,4,4,4,2,3] => [{1},{5},{6},{2,3,4}] => {{1},{2,3,4},{5},{6}}
[3,4,1,2,4,4] => [4,4,2,1,4,3] => [{4},{3},{6},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[3,4,1,4,2,4] => [4,2,4,1,4,3] => [{4},{2},{6},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[3,4,1,4,4,2] => [2,4,4,1,4,3] => [{4},{1},{6},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[3,4,2,1,4,4] => [4,4,1,2,4,3] => [{3},{4},{6},{1,2,5}] => {{1,2,5},{3},{4},{6}}
[3,4,2,4,1,4] => [4,1,4,2,4,3] => [{2},{4},{6},{1,3,5}] => {{1,3,5},{2},{4},{6}}
[3,4,2,4,4,1] => [1,4,4,2,4,3] => [{1},{4},{6},{2,3,5}] => {{1},{2,3,5},{4},{6}}
[3,4,4,1,2,4] => [4,2,1,4,4,3] => [{3},{2},{6},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[3,4,4,1,4,2] => [2,4,1,4,4,3] => [{3},{1},{6},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[3,4,4,2,1,4] => [4,1,2,4,4,3] => [{2},{3},{6},{1,4,5}] => {{1,4,5},{2},{3},{6}}
[3,4,4,2,4,1] => [1,4,2,4,4,3] => [{1},{3},{6},{2,4,5}] => {{1},{2,4,5},{3},{6}}
[3,4,4,4,1,2] => [2,1,4,4,4,3] => [{2},{1},{6},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[3,4,4,4,2,1] => [1,2,4,4,4,3] => [{1},{2},{6},{3,4,5}] => {{1},{2},{3,4,5},{6}}
[4,1,2,3,4,4] => [4,4,3,2,1,4] => [{5},{4},{3},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,1,2,4,3,4] => [4,3,4,2,1,4] => [{5},{4},{2},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,1,2,4,4,3] => [3,4,4,2,1,4] => [{5},{4},{1},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,1,3,2,4,4] => [4,4,2,3,1,4] => [{5},{3},{4},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,1,3,4,2,4] => [4,2,4,3,1,4] => [{5},{2},{4},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,1,3,4,4,2] => [2,4,4,3,1,4] => [{5},{1},{4},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,1,4,2,3,4] => [4,3,2,4,1,4] => [{5},{3},{2},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,1,4,2,4,3] => [3,4,2,4,1,4] => [{5},{3},{1},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,1,4,3,2,4] => [4,2,3,4,1,4] => [{5},{2},{3},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,1,4,3,4,2] => [2,4,3,4,1,4] => [{5},{1},{3},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,1,4,4,2,3] => [3,2,4,4,1,4] => [{5},{2},{1},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,1,4,4,3,2] => [2,3,4,4,1,4] => [{5},{1},{2},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,2,1,3,4,4] => [4,4,3,1,2,4] => [{4},{5},{3},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,2,1,4,3,4] => [4,3,4,1,2,4] => [{4},{5},{2},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,2,1,4,4,3] => [3,4,4,1,2,4] => [{4},{5},{1},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,2,3,1,4,4] => [4,4,1,3,2,4] => [{3},{5},{4},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,2,3,4,1,4] => [4,1,4,3,2,4] => [{2},{5},{4},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,2,3,4,4,1] => [1,4,4,3,2,4] => [{1},{5},{4},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,2,4,1,3,4] => [4,3,1,4,2,4] => [{3},{5},{2},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,2,4,1,4,3] => [3,4,1,4,2,4] => [{3},{5},{1},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,2,4,3,1,4] => [4,1,3,4,2,4] => [{2},{5},{3},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,2,4,3,4,1] => [1,4,3,4,2,4] => [{1},{5},{3},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,2,4,4,1,3] => [3,1,4,4,2,4] => [{2},{5},{1},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,2,4,4,3,1] => [1,3,4,4,2,4] => [{1},{5},{2},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,3,1,2,4,4] => [4,4,2,1,3,4] => [{4},{3},{5},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,3,1,4,2,4] => [4,2,4,1,3,4] => [{4},{2},{5},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,3,1,4,4,2] => [2,4,4,1,3,4] => [{4},{1},{5},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,3,2,1,4,4] => [4,4,1,2,3,4] => [{3},{4},{5},{1,2,6}] => {{1,2,6},{3},{4},{5}}
[4,3,2,4,1,4] => [4,1,4,2,3,4] => [{2},{4},{5},{1,3,6}] => {{1,3,6},{2},{4},{5}}
[4,3,2,4,4,1] => [1,4,4,2,3,4] => [{1},{4},{5},{2,3,6}] => {{1},{2,3,6},{4},{5}}
[4,3,4,1,2,4] => [4,2,1,4,3,4] => [{3},{2},{5},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,3,4,1,4,2] => [2,4,1,4,3,4] => [{3},{1},{5},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,3,4,2,1,4] => [4,1,2,4,3,4] => [{2},{3},{5},{1,4,6}] => {{1,4,6},{2},{3},{5}}
[4,3,4,2,4,1] => [1,4,2,4,3,4] => [{1},{3},{5},{2,4,6}] => {{1},{2,4,6},{3},{5}}
[4,3,4,4,1,2] => [2,1,4,4,3,4] => [{2},{1},{5},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,3,4,4,2,1] => [1,2,4,4,3,4] => [{1},{2},{5},{3,4,6}] => {{1},{2},{3,4,6},{5}}
[4,4,1,2,3,4] => [4,3,2,1,4,4] => [{4},{3},{2},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,1,2,4,3] => [3,4,2,1,4,4] => [{4},{3},{1},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,1,3,2,4] => [4,2,3,1,4,4] => [{4},{2},{3},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,1,3,4,2] => [2,4,3,1,4,4] => [{4},{1},{3},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,1,4,2,3] => [3,2,4,1,4,4] => [{4},{2},{1},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,1,4,3,2] => [2,3,4,1,4,4] => [{4},{1},{2},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,2,1,3,4] => [4,3,1,2,4,4] => [{3},{4},{2},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,2,1,4,3] => [3,4,1,2,4,4] => [{3},{4},{1},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,2,3,1,4] => [4,1,3,2,4,4] => [{2},{4},{3},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,2,3,4,1] => [1,4,3,2,4,4] => [{1},{4},{3},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,2,4,1,3] => [3,1,4,2,4,4] => [{2},{4},{1},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,2,4,3,1] => [1,3,4,2,4,4] => [{1},{4},{2},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,3,1,2,4] => [4,2,1,3,4,4] => [{3},{2},{4},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,3,1,4,2] => [2,4,1,3,4,4] => [{3},{1},{4},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,3,2,1,4] => [4,1,2,3,4,4] => [{2},{3},{4},{1,5,6}] => {{1,5,6},{2},{3},{4}}
[4,4,3,2,4,1] => [1,4,2,3,4,4] => [{1},{3},{4},{2,5,6}] => {{1},{2,5,6},{3},{4}}
[4,4,3,4,1,2] => [2,1,4,3,4,4] => [{2},{1},{4},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,3,4,2,1] => [1,2,4,3,4,4] => [{1},{2},{4},{3,5,6}] => {{1},{2},{3,5,6},{4}}
[4,4,4,1,2,3] => [3,2,1,4,4,4] => [{3},{2},{1},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[4,4,4,1,3,2] => [2,3,1,4,4,4] => [{3},{1},{2},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[4,4,4,2,1,3] => [3,1,2,4,4,4] => [{2},{3},{1},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[4,4,4,2,3,1] => [1,3,2,4,4,4] => [{1},{3},{2},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[4,4,4,3,1,2] => [2,1,3,4,4,4] => [{2},{1},{3},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[4,4,4,3,2,1] => [1,2,3,4,4,4] => [{1},{2},{3},{4,5,6}] => {{1},{2},{3},{4,5,6}}
[1,2,3,4,4,5] => [5,4,4,3,2,1] => [{6},{5},{4},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[1,2,3,4,5,4] => [4,5,4,3,2,1] => [{6},{5},{4},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[1,2,3,5,4,4] => [4,4,5,3,2,1] => [{6},{5},{4},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[1,2,4,3,4,5] => [5,4,3,4,2,1] => [{6},{5},{3},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[1,2,4,3,5,4] => [4,5,3,4,2,1] => [{6},{5},{3},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,4,3,5] => [5,3,4,4,2,1] => [{6},{5},{2},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[1,2,4,4,5,3] => [3,5,4,4,2,1] => [{6},{5},{1},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[1,2,4,5,3,4] => [4,3,5,4,2,1] => [{6},{5},{2},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,5,4,3] => [3,4,5,4,2,1] => [{6},{5},{1},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[1,2,5,3,4,4] => [4,4,3,5,2,1] => [{6},{5},{3},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[1,2,5,4,3,4] => [4,3,4,5,2,1] => [{6},{5},{2},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[1,2,5,4,4,3] => [3,4,4,5,2,1] => [{6},{5},{1},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[1,3,2,4,4,5] => [5,4,4,2,3,1] => [{6},{4},{5},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[1,3,2,4,5,4] => [4,5,4,2,3,1] => [{6},{4},{5},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[1,3,2,5,4,4] => [4,4,5,2,3,1] => [{6},{4},{5},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[1,3,4,2,4,5] => [5,4,2,4,3,1] => [{6},{3},{5},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[1,3,4,2,5,4] => [4,5,2,4,3,1] => [{6},{3},{5},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,4,2,5] => [5,2,4,4,3,1] => [{6},{2},{5},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[1,3,4,4,5,2] => [2,5,4,4,3,1] => [{6},{1},{5},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[1,3,4,5,2,4] => [4,2,5,4,3,1] => [{6},{2},{5},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,5,4,2] => [2,4,5,4,3,1] => [{6},{1},{5},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[1,3,5,2,4,4] => [4,4,2,5,3,1] => [{6},{3},{5},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[1,3,5,4,2,4] => [4,2,4,5,3,1] => [{6},{2},{5},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[1,3,5,4,4,2] => [2,4,4,5,3,1] => [{6},{1},{5},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[1,4,2,3,4,5] => [5,4,3,2,4,1] => [{6},{4},{3},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[1,4,2,3,5,4] => [4,5,3,2,4,1] => [{6},{4},{3},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[1,4,2,4,3,5] => [5,3,4,2,4,1] => [{6},{4},{2},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[1,4,2,4,5,3] => [3,5,4,2,4,1] => [{6},{4},{1},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[1,4,2,5,3,4] => [4,3,5,2,4,1] => [{6},{4},{2},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[1,4,2,5,4,3] => [3,4,5,2,4,1] => [{6},{4},{1},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[1,4,3,2,4,5] => [5,4,2,3,4,1] => [{6},{3},{4},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[1,4,3,2,5,4] => [4,5,2,3,4,1] => [{6},{3},{4},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[1,4,3,4,2,5] => [5,2,4,3,4,1] => [{6},{2},{4},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[1,4,3,4,5,2] => [2,5,4,3,4,1] => [{6},{1},{4},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[1,4,3,5,2,4] => [4,2,5,3,4,1] => [{6},{2},{4},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[1,4,3,5,4,2] => [2,4,5,3,4,1] => [{6},{1},{4},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[1,4,4,2,3,5] => [5,3,2,4,4,1] => [{6},{3},{2},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,2,5,3] => [3,5,2,4,4,1] => [{6},{3},{1},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,3,2,5] => [5,2,3,4,4,1] => [{6},{2},{3},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,3,5,2] => [2,5,3,4,4,1] => [{6},{1},{3},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,5,2,3] => [3,2,5,4,4,1] => [{6},{2},{1},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,5,3,2] => [2,3,5,4,4,1] => [{6},{1},{2},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[1,4,5,2,3,4] => [4,3,2,5,4,1] => [{6},{3},{2},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[1,4,5,2,4,3] => [3,4,2,5,4,1] => [{6},{3},{1},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,5,3,2,4] => [4,2,3,5,4,1] => [{6},{2},{3},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[1,4,5,3,4,2] => [2,4,3,5,4,1] => [{6},{1},{3},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,5,4,2,3] => [3,2,4,5,4,1] => [{6},{2},{1},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[1,4,5,4,3,2] => [2,3,4,5,4,1] => [{6},{1},{2},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[1,5,2,3,4,4] => [4,4,3,2,5,1] => [{6},{4},{3},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[1,5,2,4,3,4] => [4,3,4,2,5,1] => [{6},{4},{2},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,2,4,4,3] => [3,4,4,2,5,1] => [{6},{4},{1},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[1,5,3,2,4,4] => [4,4,2,3,5,1] => [{6},{3},{4},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[1,5,3,4,2,4] => [4,2,4,3,5,1] => [{6},{2},{4},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[1,5,3,4,4,2] => [2,4,4,3,5,1] => [{6},{1},{4},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[1,5,4,2,3,4] => [4,3,2,4,5,1] => [{6},{3},{2},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,4,2,4,3] => [3,4,2,4,5,1] => [{6},{3},{1},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,4,3,2,4] => [4,2,3,4,5,1] => [{6},{2},{3},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[1,5,4,3,4,2] => [2,4,3,4,5,1] => [{6},{1},{3},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[1,5,4,4,2,3] => [3,2,4,4,5,1] => [{6},{2},{1},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[1,5,4,4,3,2] => [2,3,4,4,5,1] => [{6},{1},{2},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,4,4,5] => [5,4,4,3,1,2] => [{5},{6},{4},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[2,1,3,4,5,4] => [4,5,4,3,1,2] => [{5},{6},{4},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[2,1,3,5,4,4] => [4,4,5,3,1,2] => [{5},{6},{4},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[2,1,4,3,4,5] => [5,4,3,4,1,2] => [{5},{6},{3},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[2,1,4,3,5,4] => [4,5,3,4,1,2] => [{5},{6},{3},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,4,3,5] => [5,3,4,4,1,2] => [{5},{6},{2},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[2,1,4,4,5,3] => [3,5,4,4,1,2] => [{5},{6},{1},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[2,1,4,5,3,4] => [4,3,5,4,1,2] => [{5},{6},{2},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,5,4,3] => [3,4,5,4,1,2] => [{5},{6},{1},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[2,1,5,3,4,4] => [4,4,3,5,1,2] => [{5},{6},{3},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[2,1,5,4,3,4] => [4,3,4,5,1,2] => [{5},{6},{2},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[2,1,5,4,4,3] => [3,4,4,5,1,2] => [{5},{6},{1},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[2,3,1,4,4,5] => [5,4,4,1,3,2] => [{4},{6},{5},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[2,3,1,4,5,4] => [4,5,4,1,3,2] => [{4},{6},{5},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[2,3,1,5,4,4] => [4,4,5,1,3,2] => [{4},{6},{5},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[2,3,4,1,4,5] => [5,4,1,4,3,2] => [{3},{6},{5},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[2,3,4,1,5,4] => [4,5,1,4,3,2] => [{3},{6},{5},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,4,1,5] => [5,1,4,4,3,2] => [{2},{6},{5},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[2,3,4,4,5,1] => [1,5,4,4,3,2] => [{1},{6},{5},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[2,3,4,5,1,4] => [4,1,5,4,3,2] => [{2},{6},{5},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,5,4,1] => [1,4,5,4,3,2] => [{1},{6},{5},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[2,3,5,1,4,4] => [4,4,1,5,3,2] => [{3},{6},{5},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[2,3,5,4,1,4] => [4,1,4,5,3,2] => [{2},{6},{5},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[2,3,5,4,4,1] => [1,4,4,5,3,2] => [{1},{6},{5},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[2,4,1,3,4,5] => [5,4,3,1,4,2] => [{4},{6},{3},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[2,4,1,3,5,4] => [4,5,3,1,4,2] => [{4},{6},{3},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[2,4,1,4,3,5] => [5,3,4,1,4,2] => [{4},{6},{2},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[2,4,1,4,5,3] => [3,5,4,1,4,2] => [{4},{6},{1},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[2,4,1,5,3,4] => [4,3,5,1,4,2] => [{4},{6},{2},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[2,4,1,5,4,3] => [3,4,5,1,4,2] => [{4},{6},{1},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[2,4,3,1,4,5] => [5,4,1,3,4,2] => [{3},{6},{4},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[2,4,3,1,5,4] => [4,5,1,3,4,2] => [{3},{6},{4},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[2,4,3,4,1,5] => [5,1,4,3,4,2] => [{2},{6},{4},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[2,4,3,4,5,1] => [1,5,4,3,4,2] => [{1},{6},{4},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[2,4,3,5,1,4] => [4,1,5,3,4,2] => [{2},{6},{4},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[2,4,3,5,4,1] => [1,4,5,3,4,2] => [{1},{6},{4},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[2,4,4,1,3,5] => [5,3,1,4,4,2] => [{3},{6},{2},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,1,5,3] => [3,5,1,4,4,2] => [{3},{6},{1},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,3,1,5] => [5,1,3,4,4,2] => [{2},{6},{3},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,3,5,1] => [1,5,3,4,4,2] => [{1},{6},{3},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,5,1,3] => [3,1,5,4,4,2] => [{2},{6},{1},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,5,3,1] => [1,3,5,4,4,2] => [{1},{6},{2},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[2,4,5,1,3,4] => [4,3,1,5,4,2] => [{3},{6},{2},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[2,4,5,1,4,3] => [3,4,1,5,4,2] => [{3},{6},{1},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,5,3,1,4] => [4,1,3,5,4,2] => [{2},{6},{3},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[2,4,5,3,4,1] => [1,4,3,5,4,2] => [{1},{6},{3},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,5,4,1,3] => [3,1,4,5,4,2] => [{2},{6},{1},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[2,4,5,4,3,1] => [1,3,4,5,4,2] => [{1},{6},{2},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[2,5,1,3,4,4] => [4,4,3,1,5,2] => [{4},{6},{3},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[2,5,1,4,3,4] => [4,3,4,1,5,2] => [{4},{6},{2},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,1,4,4,3] => [3,4,4,1,5,2] => [{4},{6},{1},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[2,5,3,1,4,4] => [4,4,1,3,5,2] => [{3},{6},{4},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[2,5,3,4,1,4] => [4,1,4,3,5,2] => [{2},{6},{4},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[2,5,3,4,4,1] => [1,4,4,3,5,2] => [{1},{6},{4},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[2,5,4,1,3,4] => [4,3,1,4,5,2] => [{3},{6},{2},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,4,1,4,3] => [3,4,1,4,5,2] => [{3},{6},{1},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,4,3,1,4] => [4,1,3,4,5,2] => [{2},{6},{3},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[2,5,4,3,4,1] => [1,4,3,4,5,2] => [{1},{6},{3},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[2,5,4,4,1,3] => [3,1,4,4,5,2] => [{2},{6},{1},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[2,5,4,4,3,1] => [1,3,4,4,5,2] => [{1},{6},{2},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,4,4,5] => [5,4,4,2,1,3] => [{5},{4},{6},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[3,1,2,4,5,4] => [4,5,4,2,1,3] => [{5},{4},{6},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[3,1,2,5,4,4] => [4,4,5,2,1,3] => [{5},{4},{6},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[3,1,4,2,4,5] => [5,4,2,4,1,3] => [{5},{3},{6},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[3,1,4,2,5,4] => [4,5,2,4,1,3] => [{5},{3},{6},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,4,2,5] => [5,2,4,4,1,3] => [{5},{2},{6},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[3,1,4,4,5,2] => [2,5,4,4,1,3] => [{5},{1},{6},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[3,1,4,5,2,4] => [4,2,5,4,1,3] => [{5},{2},{6},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,5,4,2] => [2,4,5,4,1,3] => [{5},{1},{6},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[3,1,5,2,4,4] => [4,4,2,5,1,3] => [{5},{3},{6},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[3,1,5,4,2,4] => [4,2,4,5,1,3] => [{5},{2},{6},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[3,1,5,4,4,2] => [2,4,4,5,1,3] => [{5},{1},{6},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[3,2,1,4,4,5] => [5,4,4,1,2,3] => [{4},{5},{6},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[3,2,1,4,5,4] => [4,5,4,1,2,3] => [{4},{5},{6},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[3,2,1,5,4,4] => [4,4,5,1,2,3] => [{4},{5},{6},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[3,2,4,1,4,5] => [5,4,1,4,2,3] => [{3},{5},{6},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[3,2,4,1,5,4] => [4,5,1,4,2,3] => [{3},{5},{6},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,4,1,5] => [5,1,4,4,2,3] => [{2},{5},{6},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[3,2,4,4,5,1] => [1,5,4,4,2,3] => [{1},{5},{6},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[3,2,4,5,1,4] => [4,1,5,4,2,3] => [{2},{5},{6},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,5,4,1] => [1,4,5,4,2,3] => [{1},{5},{6},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[3,2,5,1,4,4] => [4,4,1,5,2,3] => [{3},{5},{6},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[3,2,5,4,1,4] => [4,1,4,5,2,3] => [{2},{5},{6},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[3,2,5,4,4,1] => [1,4,4,5,2,3] => [{1},{5},{6},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[3,4,1,2,4,5] => [5,4,2,1,4,3] => [{4},{3},{6},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[3,4,1,2,5,4] => [4,5,2,1,4,3] => [{4},{3},{6},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[3,4,1,4,2,5] => [5,2,4,1,4,3] => [{4},{2},{6},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[3,4,1,4,5,2] => [2,5,4,1,4,3] => [{4},{1},{6},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[3,4,1,5,2,4] => [4,2,5,1,4,3] => [{4},{2},{6},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[3,4,1,5,4,2] => [2,4,5,1,4,3] => [{4},{1},{6},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[3,4,2,1,4,5] => [5,4,1,2,4,3] => [{3},{4},{6},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[3,4,2,1,5,4] => [4,5,1,2,4,3] => [{3},{4},{6},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[3,4,2,4,1,5] => [5,1,4,2,4,3] => [{2},{4},{6},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[3,4,2,4,5,1] => [1,5,4,2,4,3] => [{1},{4},{6},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[3,4,2,5,1,4] => [4,1,5,2,4,3] => [{2},{4},{6},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[3,4,2,5,4,1] => [1,4,5,2,4,3] => [{1},{4},{6},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[3,4,4,1,2,5] => [5,2,1,4,4,3] => [{3},{2},{6},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,1,5,2] => [2,5,1,4,4,3] => [{3},{1},{6},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,2,1,5] => [5,1,2,4,4,3] => [{2},{3},{6},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,2,5,1] => [1,5,2,4,4,3] => [{1},{3},{6},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,5,1,2] => [2,1,5,4,4,3] => [{2},{1},{6},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,5,2,1] => [1,2,5,4,4,3] => [{1},{2},{6},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[3,4,5,1,2,4] => [4,2,1,5,4,3] => [{3},{2},{6},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[3,4,5,1,4,2] => [2,4,1,5,4,3] => [{3},{1},{6},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,5,2,1,4] => [4,1,2,5,4,3] => [{2},{3},{6},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[3,4,5,2,4,1] => [1,4,2,5,4,3] => [{1},{3},{6},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,5,4,1,2] => [2,1,4,5,4,3] => [{2},{1},{6},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[3,4,5,4,2,1] => [1,2,4,5,4,3] => [{1},{2},{6},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[3,5,1,2,4,4] => [4,4,2,1,5,3] => [{4},{3},{6},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[3,5,1,4,2,4] => [4,2,4,1,5,3] => [{4},{2},{6},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,1,4,4,2] => [2,4,4,1,5,3] => [{4},{1},{6},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[3,5,2,1,4,4] => [4,4,1,2,5,3] => [{3},{4},{6},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[3,5,2,4,1,4] => [4,1,4,2,5,3] => [{2},{4},{6},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[3,5,2,4,4,1] => [1,4,4,2,5,3] => [{1},{4},{6},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[3,5,4,1,2,4] => [4,2,1,4,5,3] => [{3},{2},{6},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,4,1,4,2] => [2,4,1,4,5,3] => [{3},{1},{6},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,4,2,1,4] => [4,1,2,4,5,3] => [{2},{3},{6},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[3,5,4,2,4,1] => [1,4,2,4,5,3] => [{1},{3},{6},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[3,5,4,4,1,2] => [2,1,4,4,5,3] => [{2},{1},{6},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[3,5,4,4,2,1] => [1,2,4,4,5,3] => [{1},{2},{6},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,3,4,5] => [5,4,3,2,1,4] => [{5},{4},{3},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,1,2,3,5,4] => [4,5,3,2,1,4] => [{5},{4},{3},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,1,2,4,3,5] => [5,3,4,2,1,4] => [{5},{4},{2},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,4,5,3] => [3,5,4,2,1,4] => [{5},{4},{1},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,5,3,4] => [4,3,5,2,1,4] => [{5},{4},{2},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,1,2,5,4,3] => [3,4,5,2,1,4] => [{5},{4},{1},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,1,3,2,4,5] => [5,4,2,3,1,4] => [{5},{3},{4},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,1,3,2,5,4] => [4,5,2,3,1,4] => [{5},{3},{4},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,1,3,4,2,5] => [5,2,4,3,1,4] => [{5},{2},{4},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,1,3,4,5,2] => [2,5,4,3,1,4] => [{5},{1},{4},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,1,3,5,2,4] => [4,2,5,3,1,4] => [{5},{2},{4},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,1,3,5,4,2] => [2,4,5,3,1,4] => [{5},{1},{4},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,1,4,2,3,5] => [5,3,2,4,1,4] => [{5},{3},{2},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,2,5,3] => [3,5,2,4,1,4] => [{5},{3},{1},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,3,2,5] => [5,2,3,4,1,4] => [{5},{2},{3},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,3,5,2] => [2,5,3,4,1,4] => [{5},{1},{3},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,5,2,3] => [3,2,5,4,1,4] => [{5},{2},{1},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,5,3,2] => [2,3,5,4,1,4] => [{5},{1},{2},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,1,5,2,3,4] => [4,3,2,5,1,4] => [{5},{3},{2},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,1,5,2,4,3] => [3,4,2,5,1,4] => [{5},{3},{1},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,1,5,3,2,4] => [4,2,3,5,1,4] => [{5},{2},{3},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,1,5,3,4,2] => [2,4,3,5,1,4] => [{5},{1},{3},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,1,5,4,2,3] => [3,2,4,5,1,4] => [{5},{2},{1},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,1,5,4,3,2] => [2,3,4,5,1,4] => [{5},{1},{2},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,3,4,5] => [5,4,3,1,2,4] => [{4},{5},{3},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,2,1,3,5,4] => [4,5,3,1,2,4] => [{4},{5},{3},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,2,1,4,3,5] => [5,3,4,1,2,4] => [{4},{5},{2},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,4,5,3] => [3,5,4,1,2,4] => [{4},{5},{1},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,5,3,4] => [4,3,5,1,2,4] => [{4},{5},{2},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,2,1,5,4,3] => [3,4,5,1,2,4] => [{4},{5},{1},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,2,3,1,4,5] => [5,4,1,3,2,4] => [{3},{5},{4},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,2,3,1,5,4] => [4,5,1,3,2,4] => [{3},{5},{4},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,2,3,4,1,5] => [5,1,4,3,2,4] => [{2},{5},{4},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,2,3,4,5,1] => [1,5,4,3,2,4] => [{1},{5},{4},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,2,3,5,1,4] => [4,1,5,3,2,4] => [{2},{5},{4},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,2,3,5,4,1] => [1,4,5,3,2,4] => [{1},{5},{4},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,2,4,1,3,5] => [5,3,1,4,2,4] => [{3},{5},{2},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,1,5,3] => [3,5,1,4,2,4] => [{3},{5},{1},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,3,1,5] => [5,1,3,4,2,4] => [{2},{5},{3},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,3,5,1] => [1,5,3,4,2,4] => [{1},{5},{3},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,5,1,3] => [3,1,5,4,2,4] => [{2},{5},{1},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,5,3,1] => [1,3,5,4,2,4] => [{1},{5},{2},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,2,5,1,3,4] => [4,3,1,5,2,4] => [{3},{5},{2},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,2,5,1,4,3] => [3,4,1,5,2,4] => [{3},{5},{1},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,2,5,3,1,4] => [4,1,3,5,2,4] => [{2},{5},{3},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,2,5,3,4,1] => [1,4,3,5,2,4] => [{1},{5},{3},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,2,5,4,1,3] => [3,1,4,5,2,4] => [{2},{5},{1},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,2,5,4,3,1] => [1,3,4,5,2,4] => [{1},{5},{2},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,2,4,5] => [5,4,2,1,3,4] => [{4},{3},{5},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,3,1,2,5,4] => [4,5,2,1,3,4] => [{4},{3},{5},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,3,1,4,2,5] => [5,2,4,1,3,4] => [{4},{2},{5},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,4,5,2] => [2,5,4,1,3,4] => [{4},{1},{5},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,5,2,4] => [4,2,5,1,3,4] => [{4},{2},{5},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,3,1,5,4,2] => [2,4,5,1,3,4] => [{4},{1},{5},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,3,2,1,4,5] => [5,4,1,2,3,4] => [{3},{4},{5},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,3,2,1,5,4] => [4,5,1,2,3,4] => [{3},{4},{5},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,3,2,4,1,5] => [5,1,4,2,3,4] => [{2},{4},{5},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,3,2,4,5,1] => [1,5,4,2,3,4] => [{1},{4},{5},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,3,2,5,1,4] => [4,1,5,2,3,4] => [{2},{4},{5},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,3,2,5,4,1] => [1,4,5,2,3,4] => [{1},{4},{5},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,3,4,1,2,5] => [5,2,1,4,3,4] => [{3},{2},{5},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,1,5,2] => [2,5,1,4,3,4] => [{3},{1},{5},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,2,1,5] => [5,1,2,4,3,4] => [{2},{3},{5},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,2,5,1] => [1,5,2,4,3,4] => [{1},{3},{5},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,5,1,2] => [2,1,5,4,3,4] => [{2},{1},{5},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,5,2,1] => [1,2,5,4,3,4] => [{1},{2},{5},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,3,5,1,2,4] => [4,2,1,5,3,4] => [{3},{2},{5},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,3,5,1,4,2] => [2,4,1,5,3,4] => [{3},{1},{5},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,3,5,2,1,4] => [4,1,2,5,3,4] => [{2},{3},{5},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,3,5,2,4,1] => [1,4,2,5,3,4] => [{1},{3},{5},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,3,5,4,1,2] => [2,1,4,5,3,4] => [{2},{1},{5},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,3,5,4,2,1] => [1,2,4,5,3,4] => [{1},{2},{5},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,4,1,2,3,5] => [5,3,2,1,4,4] => [{4},{3},{2},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,2,5,3] => [3,5,2,1,4,4] => [{4},{3},{1},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,3,2,5] => [5,2,3,1,4,4] => [{4},{2},{3},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,3,5,2] => [2,5,3,1,4,4] => [{4},{1},{3},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,5,2,3] => [3,2,5,1,4,4] => [{4},{2},{1},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,5,3,2] => [2,3,5,1,4,4] => [{4},{1},{2},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,1,3,5] => [5,3,1,2,4,4] => [{3},{4},{2},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,1,5,3] => [3,5,1,2,4,4] => [{3},{4},{1},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,3,1,5] => [5,1,3,2,4,4] => [{2},{4},{3},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,3,5,1] => [1,5,3,2,4,4] => [{1},{4},{3},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,5,1,3] => [3,1,5,2,4,4] => [{2},{4},{1},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,5,3,1] => [1,3,5,2,4,4] => [{1},{4},{2},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,1,2,5] => [5,2,1,3,4,4] => [{3},{2},{4},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,1,5,2] => [2,5,1,3,4,4] => [{3},{1},{4},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,2,1,5] => [5,1,2,3,4,4] => [{2},{3},{4},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,2,5,1] => [1,5,2,3,4,4] => [{1},{3},{4},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,5,1,2] => [2,1,5,3,4,4] => [{2},{1},{4},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,5,2,1] => [1,2,5,3,4,4] => [{1},{2},{4},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,1,2,3] => [3,2,1,5,4,4] => [{3},{2},{1},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,1,3,2] => [2,3,1,5,4,4] => [{3},{1},{2},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,2,1,3] => [3,1,2,5,4,4] => [{2},{3},{1},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,2,3,1] => [1,3,2,5,4,4] => [{1},{3},{2},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,3,1,2] => [2,1,3,5,4,4] => [{2},{1},{3},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,5,3,2,1] => [1,2,3,5,4,4] => [{1},{2},{3},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,5,1,2,3,4] => [4,3,2,1,5,4] => [{4},{3},{2},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,1,2,4,3] => [3,4,2,1,5,4] => [{4},{3},{1},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,1,3,2,4] => [4,2,3,1,5,4] => [{4},{2},{3},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,1,3,4,2] => [2,4,3,1,5,4] => [{4},{1},{3},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,1,4,2,3] => [3,2,4,1,5,4] => [{4},{2},{1},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,1,4,3,2] => [2,3,4,1,5,4] => [{4},{1},{2},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,2,1,3,4] => [4,3,1,2,5,4] => [{3},{4},{2},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,2,1,4,3] => [3,4,1,2,5,4] => [{3},{4},{1},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,2,3,1,4] => [4,1,3,2,5,4] => [{2},{4},{3},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,2,3,4,1] => [1,4,3,2,5,4] => [{1},{4},{3},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,2,4,1,3] => [3,1,4,2,5,4] => [{2},{4},{1},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,2,4,3,1] => [1,3,4,2,5,4] => [{1},{4},{2},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,3,1,2,4] => [4,2,1,3,5,4] => [{3},{2},{4},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,3,1,4,2] => [2,4,1,3,5,4] => [{3},{1},{4},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,3,2,1,4] => [4,1,2,3,5,4] => [{2},{3},{4},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,5,3,2,4,1] => [1,4,2,3,5,4] => [{1},{3},{4},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,5,3,4,1,2] => [2,1,4,3,5,4] => [{2},{1},{4},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,3,4,2,1] => [1,2,4,3,5,4] => [{1},{2},{4},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,5,4,1,2,3] => [3,2,1,4,5,4] => [{3},{2},{1},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,5,4,1,3,2] => [2,3,1,4,5,4] => [{3},{1},{2},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,5,4,2,1,3] => [3,1,2,4,5,4] => [{2},{3},{1},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,5,4,2,3,1] => [1,3,2,4,5,4] => [{1},{3},{2},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,5,4,3,1,2] => [2,1,3,4,5,4] => [{2},{1},{3},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,5,4,3,2,1] => [1,2,3,4,5,4] => [{1},{2},{3},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[5,1,2,3,4,4] => [4,4,3,2,1,5] => [{5},{4},{3},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,1,2,4,3,4] => [4,3,4,2,1,5] => [{5},{4},{2},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,2,4,4,3] => [3,4,4,2,1,5] => [{5},{4},{1},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,1,3,2,4,4] => [4,4,2,3,1,5] => [{5},{3},{4},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,1,3,4,2,4] => [4,2,4,3,1,5] => [{5},{2},{4},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,1,3,4,4,2] => [2,4,4,3,1,5] => [{5},{1},{4},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,1,4,2,3,4] => [4,3,2,4,1,5] => [{5},{3},{2},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,4,2,4,3] => [3,4,2,4,1,5] => [{5},{3},{1},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,4,3,2,4] => [4,2,3,4,1,5] => [{5},{2},{3},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,1,4,3,4,2] => [2,4,3,4,1,5] => [{5},{1},{3},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,1,4,4,2,3] => [3,2,4,4,1,5] => [{5},{2},{1},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,1,4,4,3,2] => [2,3,4,4,1,5] => [{5},{1},{2},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,1,3,4,4] => [4,4,3,1,2,5] => [{4},{5},{3},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,1,4,3,4] => [4,3,4,1,2,5] => [{4},{5},{2},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,1,4,4,3] => [3,4,4,1,2,5] => [{4},{5},{1},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,3,1,4,4] => [4,4,1,3,2,5] => [{3},{5},{4},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,2,3,4,1,4] => [4,1,4,3,2,5] => [{2},{5},{4},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,2,3,4,4,1] => [1,4,4,3,2,5] => [{1},{5},{4},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,2,4,1,3,4] => [4,3,1,4,2,5] => [{3},{5},{2},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,4,1,4,3] => [3,4,1,4,2,5] => [{3},{5},{1},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,4,3,1,4] => [4,1,3,4,2,5] => [{2},{5},{3},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,2,4,3,4,1] => [1,4,3,4,2,5] => [{1},{5},{3},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,2,4,4,1,3] => [3,1,4,4,2,5] => [{2},{5},{1},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,2,4,4,3,1] => [1,3,4,4,2,5] => [{1},{5},{2},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,1,2,4,4] => [4,4,2,1,3,5] => [{4},{3},{5},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,1,4,2,4] => [4,2,4,1,3,5] => [{4},{2},{5},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,1,4,4,2] => [2,4,4,1,3,5] => [{4},{1},{5},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,2,1,4,4] => [4,4,1,2,3,5] => [{3},{4},{5},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[5,3,2,4,1,4] => [4,1,4,2,3,5] => [{2},{4},{5},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[5,3,2,4,4,1] => [1,4,4,2,3,5] => [{1},{4},{5},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[5,3,4,1,2,4] => [4,2,1,4,3,5] => [{3},{2},{5},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,4,1,4,2] => [2,4,1,4,3,5] => [{3},{1},{5},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,4,2,1,4] => [4,1,2,4,3,5] => [{2},{3},{5},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[5,3,4,2,4,1] => [1,4,2,4,3,5] => [{1},{3},{5},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[5,3,4,4,1,2] => [2,1,4,4,3,5] => [{2},{1},{5},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,3,4,4,2,1] => [1,2,4,4,3,5] => [{1},{2},{5},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[5,4,1,2,3,4] => [4,3,2,1,4,5] => [{4},{3},{2},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,1,2,4,3] => [3,4,2,1,4,5] => [{4},{3},{1},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,1,3,2,4] => [4,2,3,1,4,5] => [{4},{2},{3},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,1,3,4,2] => [2,4,3,1,4,5] => [{4},{1},{3},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,1,4,2,3] => [3,2,4,1,4,5] => [{4},{2},{1},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,1,4,3,2] => [2,3,4,1,4,5] => [{4},{1},{2},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,2,1,3,4] => [4,3,1,2,4,5] => [{3},{4},{2},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,2,1,4,3] => [3,4,1,2,4,5] => [{3},{4},{1},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,2,3,1,4] => [4,1,3,2,4,5] => [{2},{4},{3},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,2,3,4,1] => [1,4,3,2,4,5] => [{1},{4},{3},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,2,4,1,3] => [3,1,4,2,4,5] => [{2},{4},{1},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,2,4,3,1] => [1,3,4,2,4,5] => [{1},{4},{2},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,3,1,2,4] => [4,2,1,3,4,5] => [{3},{2},{4},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,3,1,4,2] => [2,4,1,3,4,5] => [{3},{1},{4},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,3,2,1,4] => [4,1,2,3,4,5] => [{2},{3},{4},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[5,4,3,2,4,1] => [1,4,2,3,4,5] => [{1},{3},{4},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[5,4,3,4,1,2] => [2,1,4,3,4,5] => [{2},{1},{4},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,3,4,2,1] => [1,2,4,3,4,5] => [{1},{2},{4},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[5,4,4,1,2,3] => [3,2,1,4,4,5] => [{3},{2},{1},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[5,4,4,1,3,2] => [2,3,1,4,4,5] => [{3},{1},{2},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[5,4,4,2,1,3] => [3,1,2,4,4,5] => [{2},{3},{1},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[5,4,4,2,3,1] => [1,3,2,4,4,5] => [{1},{3},{2},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[5,4,4,3,1,2] => [2,1,3,4,4,5] => [{2},{1},{3},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[5,4,4,3,2,1] => [1,2,3,4,4,5] => [{1},{2},{3},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[1,2,3,4,4,6] => [6,4,4,3,2,1] => [{6},{5},{4},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[1,2,3,4,6,4] => [4,6,4,3,2,1] => [{6},{5},{4},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[1,2,3,6,4,4] => [4,4,6,3,2,1] => [{6},{5},{4},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[1,2,4,3,4,6] => [6,4,3,4,2,1] => [{6},{5},{3},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[1,2,4,3,6,4] => [4,6,3,4,2,1] => [{6},{5},{3},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,4,3,6] => [6,3,4,4,2,1] => [{6},{5},{2},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[1,2,4,4,6,3] => [3,6,4,4,2,1] => [{6},{5},{1},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[1,2,4,6,3,4] => [4,3,6,4,2,1] => [{6},{5},{2},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[1,2,4,6,4,3] => [3,4,6,4,2,1] => [{6},{5},{1},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[1,2,6,3,4,4] => [4,4,3,6,2,1] => [{6},{5},{3},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[1,2,6,4,3,4] => [4,3,4,6,2,1] => [{6},{5},{2},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[1,2,6,4,4,3] => [3,4,4,6,2,1] => [{6},{5},{1},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[1,3,2,4,4,6] => [6,4,4,2,3,1] => [{6},{4},{5},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[1,3,2,4,6,4] => [4,6,4,2,3,1] => [{6},{4},{5},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[1,3,2,6,4,4] => [4,4,6,2,3,1] => [{6},{4},{5},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[1,3,4,2,4,6] => [6,4,2,4,3,1] => [{6},{3},{5},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[1,3,4,2,6,4] => [4,6,2,4,3,1] => [{6},{3},{5},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,4,2,6] => [6,2,4,4,3,1] => [{6},{2},{5},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[1,3,4,4,6,2] => [2,6,4,4,3,1] => [{6},{1},{5},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[1,3,4,6,2,4] => [4,2,6,4,3,1] => [{6},{2},{5},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[1,3,4,6,4,2] => [2,4,6,4,3,1] => [{6},{1},{5},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[1,3,6,2,4,4] => [4,4,2,6,3,1] => [{6},{3},{5},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[1,3,6,4,2,4] => [4,2,4,6,3,1] => [{6},{2},{5},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[1,3,6,4,4,2] => [2,4,4,6,3,1] => [{6},{1},{5},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[1,4,2,3,4,6] => [6,4,3,2,4,1] => [{6},{4},{3},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[1,4,2,3,6,4] => [4,6,3,2,4,1] => [{6},{4},{3},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[1,4,2,4,3,6] => [6,3,4,2,4,1] => [{6},{4},{2},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[1,4,2,4,6,3] => [3,6,4,2,4,1] => [{6},{4},{1},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[1,4,2,6,3,4] => [4,3,6,2,4,1] => [{6},{4},{2},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[1,4,2,6,4,3] => [3,4,6,2,4,1] => [{6},{4},{1},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[1,4,3,2,4,6] => [6,4,2,3,4,1] => [{6},{3},{4},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[1,4,3,2,6,4] => [4,6,2,3,4,1] => [{6},{3},{4},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[1,4,3,4,2,6] => [6,2,4,3,4,1] => [{6},{2},{4},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[1,4,3,4,6,2] => [2,6,4,3,4,1] => [{6},{1},{4},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[1,4,3,6,2,4] => [4,2,6,3,4,1] => [{6},{2},{4},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[1,4,3,6,4,2] => [2,4,6,3,4,1] => [{6},{1},{4},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[1,4,4,2,3,6] => [6,3,2,4,4,1] => [{6},{3},{2},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,2,6,3] => [3,6,2,4,4,1] => [{6},{3},{1},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,3,2,6] => [6,2,3,4,4,1] => [{6},{2},{3},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,3,6,2] => [2,6,3,4,4,1] => [{6},{1},{3},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,6,2,3] => [3,2,6,4,4,1] => [{6},{2},{1},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[1,4,4,6,3,2] => [2,3,6,4,4,1] => [{6},{1},{2},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[1,4,6,2,3,4] => [4,3,2,6,4,1] => [{6},{3},{2},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[1,4,6,2,4,3] => [3,4,2,6,4,1] => [{6},{3},{1},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,6,3,2,4] => [4,2,3,6,4,1] => [{6},{2},{3},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[1,4,6,3,4,2] => [2,4,3,6,4,1] => [{6},{1},{3},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[1,4,6,4,2,3] => [3,2,4,6,4,1] => [{6},{2},{1},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[1,4,6,4,3,2] => [2,3,4,6,4,1] => [{6},{1},{2},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[1,6,2,3,4,4] => [4,4,3,2,6,1] => [{6},{4},{3},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,2,4,3,4] => [4,3,4,2,6,1] => [{6},{4},{2},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,2,4,4,3] => [3,4,4,2,6,1] => [{6},{4},{1},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,3,2,4,4] => [4,4,2,3,6,1] => [{6},{3},{4},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[1,6,3,4,2,4] => [4,2,4,3,6,1] => [{6},{2},{4},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[1,6,3,4,4,2] => [2,4,4,3,6,1] => [{6},{1},{4},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[1,6,4,2,3,4] => [4,3,2,4,6,1] => [{6},{3},{2},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,4,2,4,3] => [3,4,2,4,6,1] => [{6},{3},{1},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,4,3,2,4] => [4,2,3,4,6,1] => [{6},{2},{3},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[1,6,4,3,4,2] => [2,4,3,4,6,1] => [{6},{1},{3},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[1,6,4,4,2,3] => [3,2,4,4,6,1] => [{6},{2},{1},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[1,6,4,4,3,2] => [2,3,4,4,6,1] => [{6},{1},{2},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[2,1,3,4,4,6] => [6,4,4,3,1,2] => [{5},{6},{4},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[2,1,3,4,6,4] => [4,6,4,3,1,2] => [{5},{6},{4},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[2,1,3,6,4,4] => [4,4,6,3,1,2] => [{5},{6},{4},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[2,1,4,3,4,6] => [6,4,3,4,1,2] => [{5},{6},{3},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[2,1,4,3,6,4] => [4,6,3,4,1,2] => [{5},{6},{3},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,4,3,6] => [6,3,4,4,1,2] => [{5},{6},{2},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[2,1,4,4,6,3] => [3,6,4,4,1,2] => [{5},{6},{1},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[2,1,4,6,3,4] => [4,3,6,4,1,2] => [{5},{6},{2},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[2,1,4,6,4,3] => [3,4,6,4,1,2] => [{5},{6},{1},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[2,1,6,3,4,4] => [4,4,3,6,1,2] => [{5},{6},{3},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[2,1,6,4,3,4] => [4,3,4,6,1,2] => [{5},{6},{2},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[2,1,6,4,4,3] => [3,4,4,6,1,2] => [{5},{6},{1},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[2,3,1,4,4,6] => [6,4,4,1,3,2] => [{4},{6},{5},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[2,3,1,4,6,4] => [4,6,4,1,3,2] => [{4},{6},{5},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[2,3,1,6,4,4] => [4,4,6,1,3,2] => [{4},{6},{5},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[2,3,4,1,4,6] => [6,4,1,4,3,2] => [{3},{6},{5},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[2,3,4,1,6,4] => [4,6,1,4,3,2] => [{3},{6},{5},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,4,1,6] => [6,1,4,4,3,2] => [{2},{6},{5},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[2,3,4,4,6,1] => [1,6,4,4,3,2] => [{1},{6},{5},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[2,3,4,6,1,4] => [4,1,6,4,3,2] => [{2},{6},{5},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[2,3,4,6,4,1] => [1,4,6,4,3,2] => [{1},{6},{5},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[2,3,6,1,4,4] => [4,4,1,6,3,2] => [{3},{6},{5},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[2,3,6,4,1,4] => [4,1,4,6,3,2] => [{2},{6},{5},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[2,3,6,4,4,1] => [1,4,4,6,3,2] => [{1},{6},{5},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[2,4,1,3,4,6] => [6,4,3,1,4,2] => [{4},{6},{3},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[2,4,1,3,6,4] => [4,6,3,1,4,2] => [{4},{6},{3},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[2,4,1,4,3,6] => [6,3,4,1,4,2] => [{4},{6},{2},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[2,4,1,4,6,3] => [3,6,4,1,4,2] => [{4},{6},{1},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[2,4,1,6,3,4] => [4,3,6,1,4,2] => [{4},{6},{2},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[2,4,1,6,4,3] => [3,4,6,1,4,2] => [{4},{6},{1},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[2,4,3,1,4,6] => [6,4,1,3,4,2] => [{3},{6},{4},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[2,4,3,1,6,4] => [4,6,1,3,4,2] => [{3},{6},{4},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[2,4,3,4,1,6] => [6,1,4,3,4,2] => [{2},{6},{4},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[2,4,3,4,6,1] => [1,6,4,3,4,2] => [{1},{6},{4},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[2,4,3,6,1,4] => [4,1,6,3,4,2] => [{2},{6},{4},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[2,4,3,6,4,1] => [1,4,6,3,4,2] => [{1},{6},{4},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[2,4,4,1,3,6] => [6,3,1,4,4,2] => [{3},{6},{2},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,1,6,3] => [3,6,1,4,4,2] => [{3},{6},{1},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,3,1,6] => [6,1,3,4,4,2] => [{2},{6},{3},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,3,6,1] => [1,6,3,4,4,2] => [{1},{6},{3},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,6,1,3] => [3,1,6,4,4,2] => [{2},{6},{1},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[2,4,4,6,3,1] => [1,3,6,4,4,2] => [{1},{6},{2},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[2,4,6,1,3,4] => [4,3,1,6,4,2] => [{3},{6},{2},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[2,4,6,1,4,3] => [3,4,1,6,4,2] => [{3},{6},{1},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,6,3,1,4] => [4,1,3,6,4,2] => [{2},{6},{3},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[2,4,6,3,4,1] => [1,4,3,6,4,2] => [{1},{6},{3},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[2,4,6,4,1,3] => [3,1,4,6,4,2] => [{2},{6},{1},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[2,4,6,4,3,1] => [1,3,4,6,4,2] => [{1},{6},{2},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[2,6,1,3,4,4] => [4,4,3,1,6,2] => [{4},{6},{3},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,1,4,3,4] => [4,3,4,1,6,2] => [{4},{6},{2},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,1,4,4,3] => [3,4,4,1,6,2] => [{4},{6},{1},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,3,1,4,4] => [4,4,1,3,6,2] => [{3},{6},{4},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[2,6,3,4,1,4] => [4,1,4,3,6,2] => [{2},{6},{4},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[2,6,3,4,4,1] => [1,4,4,3,6,2] => [{1},{6},{4},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[2,6,4,1,3,4] => [4,3,1,4,6,2] => [{3},{6},{2},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,4,1,4,3] => [3,4,1,4,6,2] => [{3},{6},{1},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,4,3,1,4] => [4,1,3,4,6,2] => [{2},{6},{3},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[2,6,4,3,4,1] => [1,4,3,4,6,2] => [{1},{6},{3},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[2,6,4,4,1,3] => [3,1,4,4,6,2] => [{2},{6},{1},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[2,6,4,4,3,1] => [1,3,4,4,6,2] => [{1},{6},{2},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[3,1,2,4,4,6] => [6,4,4,2,1,3] => [{5},{4},{6},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[3,1,2,4,6,4] => [4,6,4,2,1,3] => [{5},{4},{6},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[3,1,2,6,4,4] => [4,4,6,2,1,3] => [{5},{4},{6},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[3,1,4,2,4,6] => [6,4,2,4,1,3] => [{5},{3},{6},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[3,1,4,2,6,4] => [4,6,2,4,1,3] => [{5},{3},{6},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,4,2,6] => [6,2,4,4,1,3] => [{5},{2},{6},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[3,1,4,4,6,2] => [2,6,4,4,1,3] => [{5},{1},{6},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[3,1,4,6,2,4] => [4,2,6,4,1,3] => [{5},{2},{6},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[3,1,4,6,4,2] => [2,4,6,4,1,3] => [{5},{1},{6},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[3,1,6,2,4,4] => [4,4,2,6,1,3] => [{5},{3},{6},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[3,1,6,4,2,4] => [4,2,4,6,1,3] => [{5},{2},{6},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[3,1,6,4,4,2] => [2,4,4,6,1,3] => [{5},{1},{6},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[3,2,1,4,4,6] => [6,4,4,1,2,3] => [{4},{5},{6},{2,3},{1}] => {{1},{2,3},{4},{5},{6}}
[3,2,1,4,6,4] => [4,6,4,1,2,3] => [{4},{5},{6},{1,3},{2}] => {{1,3},{2},{4},{5},{6}}
[3,2,1,6,4,4] => [4,4,6,1,2,3] => [{4},{5},{6},{1,2},{3}] => {{1,2},{3},{4},{5},{6}}
[3,2,4,1,4,6] => [6,4,1,4,2,3] => [{3},{5},{6},{2,4},{1}] => {{1},{2,4},{3},{5},{6}}
[3,2,4,1,6,4] => [4,6,1,4,2,3] => [{3},{5},{6},{1,4},{2}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,4,1,6] => [6,1,4,4,2,3] => [{2},{5},{6},{3,4},{1}] => {{1},{2},{3,4},{5},{6}}
[3,2,4,4,6,1] => [1,6,4,4,2,3] => [{1},{5},{6},{3,4},{2}] => {{1},{2},{3,4},{5},{6}}
[3,2,4,6,1,4] => [4,1,6,4,2,3] => [{2},{5},{6},{1,4},{3}] => {{1,4},{2},{3},{5},{6}}
[3,2,4,6,4,1] => [1,4,6,4,2,3] => [{1},{5},{6},{2,4},{3}] => {{1},{2,4},{3},{5},{6}}
[3,2,6,1,4,4] => [4,4,1,6,2,3] => [{3},{5},{6},{1,2},{4}] => {{1,2},{3},{4},{5},{6}}
[3,2,6,4,1,4] => [4,1,4,6,2,3] => [{2},{5},{6},{1,3},{4}] => {{1,3},{2},{4},{5},{6}}
[3,2,6,4,4,1] => [1,4,4,6,2,3] => [{1},{5},{6},{2,3},{4}] => {{1},{2,3},{4},{5},{6}}
[3,4,1,2,4,6] => [6,4,2,1,4,3] => [{4},{3},{6},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[3,4,1,2,6,4] => [4,6,2,1,4,3] => [{4},{3},{6},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[3,4,1,4,2,6] => [6,2,4,1,4,3] => [{4},{2},{6},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[3,4,1,4,6,2] => [2,6,4,1,4,3] => [{4},{1},{6},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[3,4,1,6,2,4] => [4,2,6,1,4,3] => [{4},{2},{6},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[3,4,1,6,4,2] => [2,4,6,1,4,3] => [{4},{1},{6},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[3,4,2,1,4,6] => [6,4,1,2,4,3] => [{3},{4},{6},{2,5},{1}] => {{1},{2,5},{3},{4},{6}}
[3,4,2,1,6,4] => [4,6,1,2,4,3] => [{3},{4},{6},{1,5},{2}] => {{1,5},{2},{3},{4},{6}}
[3,4,2,4,1,6] => [6,1,4,2,4,3] => [{2},{4},{6},{3,5},{1}] => {{1},{2},{3,5},{4},{6}}
[3,4,2,4,6,1] => [1,6,4,2,4,3] => [{1},{4},{6},{3,5},{2}] => {{1},{2},{3,5},{4},{6}}
[3,4,2,6,1,4] => [4,1,6,2,4,3] => [{2},{4},{6},{1,5},{3}] => {{1,5},{2},{3},{4},{6}}
[3,4,2,6,4,1] => [1,4,6,2,4,3] => [{1},{4},{6},{2,5},{3}] => {{1},{2,5},{3},{4},{6}}
[3,4,4,1,2,6] => [6,2,1,4,4,3] => [{3},{2},{6},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,1,6,2] => [2,6,1,4,4,3] => [{3},{1},{6},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,2,1,6] => [6,1,2,4,4,3] => [{2},{3},{6},{4,5},{1}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,2,6,1] => [1,6,2,4,4,3] => [{1},{3},{6},{4,5},{2}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,6,1,2] => [2,1,6,4,4,3] => [{2},{1},{6},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[3,4,4,6,2,1] => [1,2,6,4,4,3] => [{1},{2},{6},{4,5},{3}] => {{1},{2},{3},{4,5},{6}}
[3,4,6,1,2,4] => [4,2,1,6,4,3] => [{3},{2},{6},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[3,4,6,1,4,2] => [2,4,1,6,4,3] => [{3},{1},{6},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,6,2,1,4] => [4,1,2,6,4,3] => [{2},{3},{6},{1,5},{4}] => {{1,5},{2},{3},{4},{6}}
[3,4,6,2,4,1] => [1,4,2,6,4,3] => [{1},{3},{6},{2,5},{4}] => {{1},{2,5},{3},{4},{6}}
[3,4,6,4,1,2] => [2,1,4,6,4,3] => [{2},{1},{6},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[3,4,6,4,2,1] => [1,2,4,6,4,3] => [{1},{2},{6},{3,5},{4}] => {{1},{2},{3,5},{4},{6}}
[3,6,1,2,4,4] => [4,4,2,1,6,3] => [{4},{3},{6},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,1,4,2,4] => [4,2,4,1,6,3] => [{4},{2},{6},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,1,4,4,2] => [2,4,4,1,6,3] => [{4},{1},{6},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,2,1,4,4] => [4,4,1,2,6,3] => [{3},{4},{6},{1,2},{5}] => {{1,2},{3},{4},{5},{6}}
[3,6,2,4,1,4] => [4,1,4,2,6,3] => [{2},{4},{6},{1,3},{5}] => {{1,3},{2},{4},{5},{6}}
[3,6,2,4,4,1] => [1,4,4,2,6,3] => [{1},{4},{6},{2,3},{5}] => {{1},{2,3},{4},{5},{6}}
[3,6,4,1,2,4] => [4,2,1,4,6,3] => [{3},{2},{6},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,4,1,4,2] => [2,4,1,4,6,3] => [{3},{1},{6},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,4,2,1,4] => [4,1,2,4,6,3] => [{2},{3},{6},{1,4},{5}] => {{1,4},{2},{3},{5},{6}}
[3,6,4,2,4,1] => [1,4,2,4,6,3] => [{1},{3},{6},{2,4},{5}] => {{1},{2,4},{3},{5},{6}}
[3,6,4,4,1,2] => [2,1,4,4,6,3] => [{2},{1},{6},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[3,6,4,4,2,1] => [1,2,4,4,6,3] => [{1},{2},{6},{3,4},{5}] => {{1},{2},{3,4},{5},{6}}
[4,1,2,3,4,6] => [6,4,3,2,1,4] => [{5},{4},{3},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,1,2,3,6,4] => [4,6,3,2,1,4] => [{5},{4},{3},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,1,2,4,3,6] => [6,3,4,2,1,4] => [{5},{4},{2},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,4,6,3] => [3,6,4,2,1,4] => [{5},{4},{1},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,1,2,6,3,4] => [4,3,6,2,1,4] => [{5},{4},{2},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,1,2,6,4,3] => [3,4,6,2,1,4] => [{5},{4},{1},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,1,3,2,4,6] => [6,4,2,3,1,4] => [{5},{3},{4},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,1,3,2,6,4] => [4,6,2,3,1,4] => [{5},{3},{4},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,1,3,4,2,6] => [6,2,4,3,1,4] => [{5},{2},{4},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,1,3,4,6,2] => [2,6,4,3,1,4] => [{5},{1},{4},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,1,3,6,2,4] => [4,2,6,3,1,4] => [{5},{2},{4},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,1,3,6,4,2] => [2,4,6,3,1,4] => [{5},{1},{4},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,1,4,2,3,6] => [6,3,2,4,1,4] => [{5},{3},{2},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,2,6,3] => [3,6,2,4,1,4] => [{5},{3},{1},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,3,2,6] => [6,2,3,4,1,4] => [{5},{2},{3},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,3,6,2] => [2,6,3,4,1,4] => [{5},{1},{3},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,6,2,3] => [3,2,6,4,1,4] => [{5},{2},{1},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,1,4,6,3,2] => [2,3,6,4,1,4] => [{5},{1},{2},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,1,6,2,3,4] => [4,3,2,6,1,4] => [{5},{3},{2},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,1,6,2,4,3] => [3,4,2,6,1,4] => [{5},{3},{1},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,1,6,3,2,4] => [4,2,3,6,1,4] => [{5},{2},{3},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,1,6,3,4,2] => [2,4,3,6,1,4] => [{5},{1},{3},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,1,6,4,2,3] => [3,2,4,6,1,4] => [{5},{2},{1},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,1,6,4,3,2] => [2,3,4,6,1,4] => [{5},{1},{2},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,3,4,6] => [6,4,3,1,2,4] => [{4},{5},{3},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,2,1,3,6,4] => [4,6,3,1,2,4] => [{4},{5},{3},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,2,1,4,3,6] => [6,3,4,1,2,4] => [{4},{5},{2},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,4,6,3] => [3,6,4,1,2,4] => [{4},{5},{1},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,2,1,6,3,4] => [4,3,6,1,2,4] => [{4},{5},{2},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,2,1,6,4,3] => [3,4,6,1,2,4] => [{4},{5},{1},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,2,3,1,4,6] => [6,4,1,3,2,4] => [{3},{5},{4},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,2,3,1,6,4] => [4,6,1,3,2,4] => [{3},{5},{4},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,2,3,4,1,6] => [6,1,4,3,2,4] => [{2},{5},{4},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,2,3,4,6,1] => [1,6,4,3,2,4] => [{1},{5},{4},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,2,3,6,1,4] => [4,1,6,3,2,4] => [{2},{5},{4},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,2,3,6,4,1] => [1,4,6,3,2,4] => [{1},{5},{4},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,2,4,1,3,6] => [6,3,1,4,2,4] => [{3},{5},{2},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,1,6,3] => [3,6,1,4,2,4] => [{3},{5},{1},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,3,1,6] => [6,1,3,4,2,4] => [{2},{5},{3},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,3,6,1] => [1,6,3,4,2,4] => [{1},{5},{3},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,6,1,3] => [3,1,6,4,2,4] => [{2},{5},{1},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,2,4,6,3,1] => [1,3,6,4,2,4] => [{1},{5},{2},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,2,6,1,3,4] => [4,3,1,6,2,4] => [{3},{5},{2},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,2,6,1,4,3] => [3,4,1,6,2,4] => [{3},{5},{1},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,2,6,3,1,4] => [4,1,3,6,2,4] => [{2},{5},{3},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,2,6,3,4,1] => [1,4,3,6,2,4] => [{1},{5},{3},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,2,6,4,1,3] => [3,1,4,6,2,4] => [{2},{5},{1},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,2,6,4,3,1] => [1,3,4,6,2,4] => [{1},{5},{2},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,2,4,6] => [6,4,2,1,3,4] => [{4},{3},{5},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,3,1,2,6,4] => [4,6,2,1,3,4] => [{4},{3},{5},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,3,1,4,2,6] => [6,2,4,1,3,4] => [{4},{2},{5},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,4,6,2] => [2,6,4,1,3,4] => [{4},{1},{5},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,3,1,6,2,4] => [4,2,6,1,3,4] => [{4},{2},{5},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,3,1,6,4,2] => [2,4,6,1,3,4] => [{4},{1},{5},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,3,2,1,4,6] => [6,4,1,2,3,4] => [{3},{4},{5},{2,6},{1}] => {{1},{2,6},{3},{4},{5}}
[4,3,2,1,6,4] => [4,6,1,2,3,4] => [{3},{4},{5},{1,6},{2}] => {{1,6},{2},{3},{4},{5}}
[4,3,2,4,1,6] => [6,1,4,2,3,4] => [{2},{4},{5},{3,6},{1}] => {{1},{2},{3,6},{4},{5}}
[4,3,2,4,6,1] => [1,6,4,2,3,4] => [{1},{4},{5},{3,6},{2}] => {{1},{2},{3,6},{4},{5}}
[4,3,2,6,1,4] => [4,1,6,2,3,4] => [{2},{4},{5},{1,6},{3}] => {{1,6},{2},{3},{4},{5}}
[4,3,2,6,4,1] => [1,4,6,2,3,4] => [{1},{4},{5},{2,6},{3}] => {{1},{2,6},{3},{4},{5}}
[4,3,4,1,2,6] => [6,2,1,4,3,4] => [{3},{2},{5},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,1,6,2] => [2,6,1,4,3,4] => [{3},{1},{5},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,2,1,6] => [6,1,2,4,3,4] => [{2},{3},{5},{4,6},{1}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,2,6,1] => [1,6,2,4,3,4] => [{1},{3},{5},{4,6},{2}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,6,1,2] => [2,1,6,4,3,4] => [{2},{1},{5},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,3,4,6,2,1] => [1,2,6,4,3,4] => [{1},{2},{5},{4,6},{3}] => {{1},{2},{3},{4,6},{5}}
[4,3,6,1,2,4] => [4,2,1,6,3,4] => [{3},{2},{5},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,3,6,1,4,2] => [2,4,1,6,3,4] => [{3},{1},{5},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,3,6,2,1,4] => [4,1,2,6,3,4] => [{2},{3},{5},{1,6},{4}] => {{1,6},{2},{3},{4},{5}}
[4,3,6,2,4,1] => [1,4,2,6,3,4] => [{1},{3},{5},{2,6},{4}] => {{1},{2,6},{3},{4},{5}}
[4,3,6,4,1,2] => [2,1,4,6,3,4] => [{2},{1},{5},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,3,6,4,2,1] => [1,2,4,6,3,4] => [{1},{2},{5},{3,6},{4}] => {{1},{2},{3,6},{4},{5}}
[4,4,1,2,3,6] => [6,3,2,1,4,4] => [{4},{3},{2},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,2,6,3] => [3,6,2,1,4,4] => [{4},{3},{1},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,3,2,6] => [6,2,3,1,4,4] => [{4},{2},{3},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,3,6,2] => [2,6,3,1,4,4] => [{4},{1},{3},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,6,2,3] => [3,2,6,1,4,4] => [{4},{2},{1},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,1,6,3,2] => [2,3,6,1,4,4] => [{4},{1},{2},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,1,3,6] => [6,3,1,2,4,4] => [{3},{4},{2},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,1,6,3] => [3,6,1,2,4,4] => [{3},{4},{1},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,3,1,6] => [6,1,3,2,4,4] => [{2},{4},{3},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,3,6,1] => [1,6,3,2,4,4] => [{1},{4},{3},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,6,1,3] => [3,1,6,2,4,4] => [{2},{4},{1},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,2,6,3,1] => [1,3,6,2,4,4] => [{1},{4},{2},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,1,2,6] => [6,2,1,3,4,4] => [{3},{2},{4},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,1,6,2] => [2,6,1,3,4,4] => [{3},{1},{4},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,2,1,6] => [6,1,2,3,4,4] => [{2},{3},{4},{5,6},{1}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,2,6,1] => [1,6,2,3,4,4] => [{1},{3},{4},{5,6},{2}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,6,1,2] => [2,1,6,3,4,4] => [{2},{1},{4},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,3,6,2,1] => [1,2,6,3,4,4] => [{1},{2},{4},{5,6},{3}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,1,2,3] => [3,2,1,6,4,4] => [{3},{2},{1},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,1,3,2] => [2,3,1,6,4,4] => [{3},{1},{2},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,2,1,3] => [3,1,2,6,4,4] => [{2},{3},{1},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,2,3,1] => [1,3,2,6,4,4] => [{1},{3},{2},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,3,1,2] => [2,1,3,6,4,4] => [{2},{1},{3},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,4,6,3,2,1] => [1,2,3,6,4,4] => [{1},{2},{3},{5,6},{4}] => {{1},{2},{3},{4},{5,6}}
[4,6,1,2,3,4] => [4,3,2,1,6,4] => [{4},{3},{2},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,1,2,4,3] => [3,4,2,1,6,4] => [{4},{3},{1},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,1,3,2,4] => [4,2,3,1,6,4] => [{4},{2},{3},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,1,3,4,2] => [2,4,3,1,6,4] => [{4},{1},{3},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,1,4,2,3] => [3,2,4,1,6,4] => [{4},{2},{1},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,1,4,3,2] => [2,3,4,1,6,4] => [{4},{1},{2},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,2,1,3,4] => [4,3,1,2,6,4] => [{3},{4},{2},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,2,1,4,3] => [3,4,1,2,6,4] => [{3},{4},{1},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,2,3,1,4] => [4,1,3,2,6,4] => [{2},{4},{3},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,2,3,4,1] => [1,4,3,2,6,4] => [{1},{4},{3},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,2,4,1,3] => [3,1,4,2,6,4] => [{2},{4},{1},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,2,4,3,1] => [1,3,4,2,6,4] => [{1},{4},{2},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,3,1,2,4] => [4,2,1,3,6,4] => [{3},{2},{4},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,3,1,4,2] => [2,4,1,3,6,4] => [{3},{1},{4},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,3,2,1,4] => [4,1,2,3,6,4] => [{2},{3},{4},{1,6},{5}] => {{1,6},{2},{3},{4},{5}}
[4,6,3,2,4,1] => [1,4,2,3,6,4] => [{1},{3},{4},{2,6},{5}] => {{1},{2,6},{3},{4},{5}}
[4,6,3,4,1,2] => [2,1,4,3,6,4] => [{2},{1},{4},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,3,4,2,1] => [1,2,4,3,6,4] => [{1},{2},{4},{3,6},{5}] => {{1},{2},{3,6},{4},{5}}
[4,6,4,1,2,3] => [3,2,1,4,6,4] => [{3},{2},{1},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,6,4,1,3,2] => [2,3,1,4,6,4] => [{3},{1},{2},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,6,4,2,1,3] => [3,1,2,4,6,4] => [{2},{3},{1},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,6,4,2,3,1] => [1,3,2,4,6,4] => [{1},{3},{2},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,6,4,3,1,2] => [2,1,3,4,6,4] => [{2},{1},{3},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[4,6,4,3,2,1] => [1,2,3,4,6,4] => [{1},{2},{3},{4,6},{5}] => {{1},{2},{3},{4,6},{5}}
[6,1,2,3,4,4] => [4,4,3,2,1,6] => [{5},{4},{3},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,2,4,3,4] => [4,3,4,2,1,6] => [{5},{4},{2},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,2,4,4,3] => [3,4,4,2,1,6] => [{5},{4},{1},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,3,2,4,4] => [4,4,2,3,1,6] => [{5},{3},{4},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,1,3,4,2,4] => [4,2,4,3,1,6] => [{5},{2},{4},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,1,3,4,4,2] => [2,4,4,3,1,6] => [{5},{1},{4},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,1,4,2,3,4] => [4,3,2,4,1,6] => [{5},{3},{2},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,4,2,4,3] => [3,4,2,4,1,6] => [{5},{3},{1},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,4,3,2,4] => [4,2,3,4,1,6] => [{5},{2},{3},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,1,4,3,4,2] => [2,4,3,4,1,6] => [{5},{1},{3},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,1,4,4,2,3] => [3,2,4,4,1,6] => [{5},{2},{1},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,1,4,4,3,2] => [2,3,4,4,1,6] => [{5},{1},{2},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,1,3,4,4] => [4,4,3,1,2,6] => [{4},{5},{3},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,1,4,3,4] => [4,3,4,1,2,6] => [{4},{5},{2},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,1,4,4,3] => [3,4,4,1,2,6] => [{4},{5},{1},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,3,1,4,4] => [4,4,1,3,2,6] => [{3},{5},{4},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,2,3,4,1,4] => [4,1,4,3,2,6] => [{2},{5},{4},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,2,3,4,4,1] => [1,4,4,3,2,6] => [{1},{5},{4},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,2,4,1,3,4] => [4,3,1,4,2,6] => [{3},{5},{2},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,4,1,4,3] => [3,4,1,4,2,6] => [{3},{5},{1},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,4,3,1,4] => [4,1,3,4,2,6] => [{2},{5},{3},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,2,4,3,4,1] => [1,4,3,4,2,6] => [{1},{5},{3},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,2,4,4,1,3] => [3,1,4,4,2,6] => [{2},{5},{1},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,2,4,4,3,1] => [1,3,4,4,2,6] => [{1},{5},{2},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,1,2,4,4] => [4,4,2,1,3,6] => [{4},{3},{5},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,1,4,2,4] => [4,2,4,1,3,6] => [{4},{2},{5},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,1,4,4,2] => [2,4,4,1,3,6] => [{4},{1},{5},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,2,1,4,4] => [4,4,1,2,3,6] => [{3},{4},{5},{1,2},{6}] => {{1,2},{3},{4},{5},{6}}
[6,3,2,4,1,4] => [4,1,4,2,3,6] => [{2},{4},{5},{1,3},{6}] => {{1,3},{2},{4},{5},{6}}
[6,3,2,4,4,1] => [1,4,4,2,3,6] => [{1},{4},{5},{2,3},{6}] => {{1},{2,3},{4},{5},{6}}
[6,3,4,1,2,4] => [4,2,1,4,3,6] => [{3},{2},{5},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,4,1,4,2] => [2,4,1,4,3,6] => [{3},{1},{5},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,4,2,1,4] => [4,1,2,4,3,6] => [{2},{3},{5},{1,4},{6}] => {{1,4},{2},{3},{5},{6}}
[6,3,4,2,4,1] => [1,4,2,4,3,6] => [{1},{3},{5},{2,4},{6}] => {{1},{2,4},{3},{5},{6}}
[6,3,4,4,1,2] => [2,1,4,4,3,6] => [{2},{1},{5},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,3,4,4,2,1] => [1,2,4,4,3,6] => [{1},{2},{5},{3,4},{6}] => {{1},{2},{3,4},{5},{6}}
[6,4,1,2,3,4] => [4,3,2,1,4,6] => [{4},{3},{2},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,1,2,4,3] => [3,4,2,1,4,6] => [{4},{3},{1},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,1,3,2,4] => [4,2,3,1,4,6] => [{4},{2},{3},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,1,3,4,2] => [2,4,3,1,4,6] => [{4},{1},{3},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,1,4,2,3] => [3,2,4,1,4,6] => [{4},{2},{1},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,1,4,3,2] => [2,3,4,1,4,6] => [{4},{1},{2},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,2,1,3,4] => [4,3,1,2,4,6] => [{3},{4},{2},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,2,1,4,3] => [3,4,1,2,4,6] => [{3},{4},{1},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,2,3,1,4] => [4,1,3,2,4,6] => [{2},{4},{3},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,2,3,4,1] => [1,4,3,2,4,6] => [{1},{4},{3},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,2,4,1,3] => [3,1,4,2,4,6] => [{2},{4},{1},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,2,4,3,1] => [1,3,4,2,4,6] => [{1},{4},{2},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,3,1,2,4] => [4,2,1,3,4,6] => [{3},{2},{4},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,3,1,4,2] => [2,4,1,3,4,6] => [{3},{1},{4},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,3,2,1,4] => [4,1,2,3,4,6] => [{2},{3},{4},{1,5},{6}] => {{1,5},{2},{3},{4},{6}}
[6,4,3,2,4,1] => [1,4,2,3,4,6] => [{1},{3},{4},{2,5},{6}] => {{1},{2,5},{3},{4},{6}}
[6,4,3,4,1,2] => [2,1,4,3,4,6] => [{2},{1},{4},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,3,4,2,1] => [1,2,4,3,4,6] => [{1},{2},{4},{3,5},{6}] => {{1},{2},{3,5},{4},{6}}
[6,4,4,1,2,3] => [3,2,1,4,4,6] => [{3},{2},{1},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[6,4,4,1,3,2] => [2,3,1,4,4,6] => [{3},{1},{2},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[6,4,4,2,1,3] => [3,1,2,4,4,6] => [{2},{3},{1},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[6,4,4,2,3,1] => [1,3,2,4,4,6] => [{1},{3},{2},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[6,4,4,3,1,2] => [2,1,3,4,4,6] => [{2},{1},{3},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[6,4,4,3,2,1] => [1,2,3,4,4,6] => [{1},{2},{3},{4,5},{6}] => {{1},{2},{3},{4,5},{6}}
[1,2,3,4,5,5] => [5,5,4,3,2,1] => [{6},{5},{4},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,2,3,5,4,5] => [5,4,5,3,2,1] => [{6},{5},{4},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,2,3,5,5,4] => [4,5,5,3,2,1] => [{6},{5},{4},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,2,4,3,5,5] => [5,5,3,4,2,1] => [{6},{5},{3},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,2,4,5,3,5] => [5,3,5,4,2,1] => [{6},{5},{2},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,2,4,5,5,3] => [3,5,5,4,2,1] => [{6},{5},{1},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,2,5,3,4,5] => [5,4,3,5,2,1] => [{6},{5},{3},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,2,5,3,5,4] => [4,5,3,5,2,1] => [{6},{5},{3},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,2,5,4,3,5] => [5,3,4,5,2,1] => [{6},{5},{2},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,2,5,4,5,3] => [3,5,4,5,2,1] => [{6},{5},{1},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,2,5,5,3,4] => [4,3,5,5,2,1] => [{6},{5},{2},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,2,5,5,4,3] => [3,4,5,5,2,1] => [{6},{5},{1},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,3,2,4,5,5] => [5,5,4,2,3,1] => [{6},{4},{5},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,3,2,5,4,5] => [5,4,5,2,3,1] => [{6},{4},{5},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,3,2,5,5,4] => [4,5,5,2,3,1] => [{6},{4},{5},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,3,4,2,5,5] => [5,5,2,4,3,1] => [{6},{3},{5},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,3,4,5,2,5] => [5,2,5,4,3,1] => [{6},{2},{5},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,3,4,5,5,2] => [2,5,5,4,3,1] => [{6},{1},{5},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,3,5,2,4,5] => [5,4,2,5,3,1] => [{6},{3},{5},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,3,5,2,5,4] => [4,5,2,5,3,1] => [{6},{3},{5},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,3,5,4,2,5] => [5,2,4,5,3,1] => [{6},{2},{5},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,3,5,4,5,2] => [2,5,4,5,3,1] => [{6},{1},{5},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,3,5,5,2,4] => [4,2,5,5,3,1] => [{6},{2},{5},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,3,5,5,4,2] => [2,4,5,5,3,1] => [{6},{1},{5},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,4,2,3,5,5] => [5,5,3,2,4,1] => [{6},{4},{3},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,4,2,5,3,5] => [5,3,5,2,4,1] => [{6},{4},{2},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,4,2,5,5,3] => [3,5,5,2,4,1] => [{6},{4},{1},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,4,3,2,5,5] => [5,5,2,3,4,1] => [{6},{3},{4},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[1,4,3,5,2,5] => [5,2,5,3,4,1] => [{6},{2},{4},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[1,4,3,5,5,2] => [2,5,5,3,4,1] => [{6},{1},{4},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[1,4,5,2,3,5] => [5,3,2,5,4,1] => [{6},{3},{2},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,4,5,2,5,3] => [3,5,2,5,4,1] => [{6},{3},{1},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,4,5,3,2,5] => [5,2,3,5,4,1] => [{6},{2},{3},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[1,4,5,3,5,2] => [2,5,3,5,4,1] => [{6},{1},{3},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[1,4,5,5,2,3] => [3,2,5,5,4,1] => [{6},{2},{1},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,4,5,5,3,2] => [2,3,5,5,4,1] => [{6},{1},{2},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[1,5,2,3,4,5] => [5,4,3,2,5,1] => [{6},{4},{3},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,2,3,5,4] => [4,5,3,2,5,1] => [{6},{4},{3},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,2,4,3,5] => [5,3,4,2,5,1] => [{6},{4},{2},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,2,4,5,3] => [3,5,4,2,5,1] => [{6},{4},{1},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,2,5,3,4] => [4,3,5,2,5,1] => [{6},{4},{2},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,2,5,4,3] => [3,4,5,2,5,1] => [{6},{4},{1},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,3,2,4,5] => [5,4,2,3,5,1] => [{6},{3},{4},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,3,2,5,4] => [4,5,2,3,5,1] => [{6},{3},{4},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,3,4,2,5] => [5,2,4,3,5,1] => [{6},{2},{4},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,3,4,5,2] => [2,5,4,3,5,1] => [{6},{1},{4},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,3,5,2,4] => [4,2,5,3,5,1] => [{6},{2},{4},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,3,5,4,2] => [2,4,5,3,5,1] => [{6},{1},{4},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,4,2,3,5] => [5,3,2,4,5,1] => [{6},{3},{2},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,4,2,5,3] => [3,5,2,4,5,1] => [{6},{3},{1},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,4,3,2,5] => [5,2,3,4,5,1] => [{6},{2},{3},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[1,5,4,3,5,2] => [2,5,3,4,5,1] => [{6},{1},{3},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[1,5,4,5,2,3] => [3,2,5,4,5,1] => [{6},{2},{1},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,4,5,3,2] => [2,3,5,4,5,1] => [{6},{1},{2},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[1,5,5,2,3,4] => [4,3,2,5,5,1] => [{6},{3},{2},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[1,5,5,2,4,3] => [3,4,2,5,5,1] => [{6},{3},{1},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[1,5,5,3,2,4] => [4,2,3,5,5,1] => [{6},{2},{3},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[1,5,5,3,4,2] => [2,4,3,5,5,1] => [{6},{1},{3},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[1,5,5,4,2,3] => [3,2,4,5,5,1] => [{6},{2},{1},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[1,5,5,4,3,2] => [2,3,4,5,5,1] => [{6},{1},{2},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,1,3,4,5,5] => [5,5,4,3,1,2] => [{5},{6},{4},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,1,3,5,4,5] => [5,4,5,3,1,2] => [{5},{6},{4},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,1,3,5,5,4] => [4,5,5,3,1,2] => [{5},{6},{4},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,1,4,3,5,5] => [5,5,3,4,1,2] => [{5},{6},{3},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,1,4,5,3,5] => [5,3,5,4,1,2] => [{5},{6},{2},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,1,4,5,5,3] => [3,5,5,4,1,2] => [{5},{6},{1},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,1,5,3,4,5] => [5,4,3,5,1,2] => [{5},{6},{3},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,1,5,3,5,4] => [4,5,3,5,1,2] => [{5},{6},{3},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,1,5,4,3,5] => [5,3,4,5,1,2] => [{5},{6},{2},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,1,5,4,5,3] => [3,5,4,5,1,2] => [{5},{6},{1},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,1,5,5,3,4] => [4,3,5,5,1,2] => [{5},{6},{2},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,1,5,5,4,3] => [3,4,5,5,1,2] => [{5},{6},{1},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,3,1,4,5,5] => [5,5,4,1,3,2] => [{4},{6},{5},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,3,1,5,4,5] => [5,4,5,1,3,2] => [{4},{6},{5},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,3,1,5,5,4] => [4,5,5,1,3,2] => [{4},{6},{5},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,3,4,1,5,5] => [5,5,1,4,3,2] => [{3},{6},{5},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,3,4,5,1,5] => [5,1,5,4,3,2] => [{2},{6},{5},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,3,4,5,5,1] => [1,5,5,4,3,2] => [{1},{6},{5},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,3,5,1,4,5] => [5,4,1,5,3,2] => [{3},{6},{5},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,3,5,1,5,4] => [4,5,1,5,3,2] => [{3},{6},{5},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,3,5,4,1,5] => [5,1,4,5,3,2] => [{2},{6},{5},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,3,5,4,5,1] => [1,5,4,5,3,2] => [{1},{6},{5},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,3,5,5,1,4] => [4,1,5,5,3,2] => [{2},{6},{5},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,3,5,5,4,1] => [1,4,5,5,3,2] => [{1},{6},{5},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,4,1,3,5,5] => [5,5,3,1,4,2] => [{4},{6},{3},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,4,1,5,3,5] => [5,3,5,1,4,2] => [{4},{6},{2},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,4,1,5,5,3] => [3,5,5,1,4,2] => [{4},{6},{1},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,4,3,1,5,5] => [5,5,1,3,4,2] => [{3},{6},{4},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[2,4,3,5,1,5] => [5,1,5,3,4,2] => [{2},{6},{4},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[2,4,3,5,5,1] => [1,5,5,3,4,2] => [{1},{6},{4},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[2,4,5,1,3,5] => [5,3,1,5,4,2] => [{3},{6},{2},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,4,5,1,5,3] => [3,5,1,5,4,2] => [{3},{6},{1},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,4,5,3,1,5] => [5,1,3,5,4,2] => [{2},{6},{3},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[2,4,5,3,5,1] => [1,5,3,5,4,2] => [{1},{6},{3},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[2,4,5,5,1,3] => [3,1,5,5,4,2] => [{2},{6},{1},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,4,5,5,3,1] => [1,3,5,5,4,2] => [{1},{6},{2},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[2,5,1,3,4,5] => [5,4,3,1,5,2] => [{4},{6},{3},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,1,3,5,4] => [4,5,3,1,5,2] => [{4},{6},{3},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,1,4,3,5] => [5,3,4,1,5,2] => [{4},{6},{2},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,1,4,5,3] => [3,5,4,1,5,2] => [{4},{6},{1},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,1,5,3,4] => [4,3,5,1,5,2] => [{4},{6},{2},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,1,5,4,3] => [3,4,5,1,5,2] => [{4},{6},{1},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,3,1,4,5] => [5,4,1,3,5,2] => [{3},{6},{4},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,3,1,5,4] => [4,5,1,3,5,2] => [{3},{6},{4},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,3,4,1,5] => [5,1,4,3,5,2] => [{2},{6},{4},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,3,4,5,1] => [1,5,4,3,5,2] => [{1},{6},{4},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,3,5,1,4] => [4,1,5,3,5,2] => [{2},{6},{4},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,3,5,4,1] => [1,4,5,3,5,2] => [{1},{6},{4},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,4,1,3,5] => [5,3,1,4,5,2] => [{3},{6},{2},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,4,1,5,3] => [3,5,1,4,5,2] => [{3},{6},{1},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,4,3,1,5] => [5,1,3,4,5,2] => [{2},{6},{3},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[2,5,4,3,5,1] => [1,5,3,4,5,2] => [{1},{6},{3},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[2,5,4,5,1,3] => [3,1,5,4,5,2] => [{2},{6},{1},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,4,5,3,1] => [1,3,5,4,5,2] => [{1},{6},{2},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[2,5,5,1,3,4] => [4,3,1,5,5,2] => [{3},{6},{2},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,5,5,1,4,3] => [3,4,1,5,5,2] => [{3},{6},{1},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,5,5,3,1,4] => [4,1,3,5,5,2] => [{2},{6},{3},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,5,5,3,4,1] => [1,4,3,5,5,2] => [{1},{6},{3},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,5,5,4,1,3] => [3,1,4,5,5,2] => [{2},{6},{1},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[2,5,5,4,3,1] => [1,3,4,5,5,2] => [{1},{6},{2},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,1,2,4,5,5] => [5,5,4,2,1,3] => [{5},{4},{6},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,1,2,5,4,5] => [5,4,5,2,1,3] => [{5},{4},{6},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,1,2,5,5,4] => [4,5,5,2,1,3] => [{5},{4},{6},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,1,4,2,5,5] => [5,5,2,4,1,3] => [{5},{3},{6},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,1,4,5,2,5] => [5,2,5,4,1,3] => [{5},{2},{6},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,1,4,5,5,2] => [2,5,5,4,1,3] => [{5},{1},{6},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,1,5,2,4,5] => [5,4,2,5,1,3] => [{5},{3},{6},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,1,5,2,5,4] => [4,5,2,5,1,3] => [{5},{3},{6},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,1,5,4,2,5] => [5,2,4,5,1,3] => [{5},{2},{6},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,1,5,4,5,2] => [2,5,4,5,1,3] => [{5},{1},{6},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,1,5,5,2,4] => [4,2,5,5,1,3] => [{5},{2},{6},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,1,5,5,4,2] => [2,4,5,5,1,3] => [{5},{1},{6},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,2,1,4,5,5] => [5,5,4,1,2,3] => [{4},{5},{6},{3},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,2,1,5,4,5] => [5,4,5,1,2,3] => [{4},{5},{6},{2},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,2,1,5,5,4] => [4,5,5,1,2,3] => [{4},{5},{6},{1},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,2,4,1,5,5] => [5,5,1,4,2,3] => [{3},{5},{6},{4},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,2,4,5,1,5] => [5,1,5,4,2,3] => [{2},{5},{6},{4},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,2,4,5,5,1] => [1,5,5,4,2,3] => [{1},{5},{6},{4},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,2,5,1,4,5] => [5,4,1,5,2,3] => [{3},{5},{6},{2},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,2,5,1,5,4] => [4,5,1,5,2,3] => [{3},{5},{6},{1},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,2,5,4,1,5] => [5,1,4,5,2,3] => [{2},{5},{6},{3},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,2,5,4,5,1] => [1,5,4,5,2,3] => [{1},{5},{6},{3},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,2,5,5,1,4] => [4,1,5,5,2,3] => [{2},{5},{6},{1},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,2,5,5,4,1] => [1,4,5,5,2,3] => [{1},{5},{6},{2},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,4,1,2,5,5] => [5,5,2,1,4,3] => [{4},{3},{6},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,4,1,5,2,5] => [5,2,5,1,4,3] => [{4},{2},{6},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,4,1,5,5,2] => [2,5,5,1,4,3] => [{4},{1},{6},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,4,2,1,5,5] => [5,5,1,2,4,3] => [{3},{4},{6},{5},{1,2}] => {{1,2},{3},{4},{5},{6}}
[3,4,2,5,1,5] => [5,1,5,2,4,3] => [{2},{4},{6},{5},{1,3}] => {{1,3},{2},{4},{5},{6}}
[3,4,2,5,5,1] => [1,5,5,2,4,3] => [{1},{4},{6},{5},{2,3}] => {{1},{2,3},{4},{5},{6}}
[3,4,5,1,2,5] => [5,2,1,5,4,3] => [{3},{2},{6},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,4,5,1,5,2] => [2,5,1,5,4,3] => [{3},{1},{6},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,4,5,2,1,5] => [5,1,2,5,4,3] => [{2},{3},{6},{5},{1,4}] => {{1,4},{2},{3},{5},{6}}
[3,4,5,2,5,1] => [1,5,2,5,4,3] => [{1},{3},{6},{5},{2,4}] => {{1},{2,4},{3},{5},{6}}
[3,4,5,5,1,2] => [2,1,5,5,4,3] => [{2},{1},{6},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,4,5,5,2,1] => [1,2,5,5,4,3] => [{1},{2},{6},{5},{3,4}] => {{1},{2},{3,4},{5},{6}}
[3,5,1,2,4,5] => [5,4,2,1,5,3] => [{4},{3},{6},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,1,2,5,4] => [4,5,2,1,5,3] => [{4},{3},{6},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,1,4,2,5] => [5,2,4,1,5,3] => [{4},{2},{6},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,1,4,5,2] => [2,5,4,1,5,3] => [{4},{1},{6},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,1,5,2,4] => [4,2,5,1,5,3] => [{4},{2},{6},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,1,5,4,2] => [2,4,5,1,5,3] => [{4},{1},{6},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,2,1,4,5] => [5,4,1,2,5,3] => [{3},{4},{6},{2},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,2,1,5,4] => [4,5,1,2,5,3] => [{3},{4},{6},{1},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,2,4,1,5] => [5,1,4,2,5,3] => [{2},{4},{6},{3},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,2,4,5,1] => [1,5,4,2,5,3] => [{1},{4},{6},{3},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,2,5,1,4] => [4,1,5,2,5,3] => [{2},{4},{6},{1},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,2,5,4,1] => [1,4,5,2,5,3] => [{1},{4},{6},{2},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,4,1,2,5] => [5,2,1,4,5,3] => [{3},{2},{6},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,4,1,5,2] => [2,5,1,4,5,3] => [{3},{1},{6},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,4,2,1,5] => [5,1,2,4,5,3] => [{2},{3},{6},{4},{1,5}] => {{1,5},{2},{3},{4},{6}}
[3,5,4,2,5,1] => [1,5,2,4,5,3] => [{1},{3},{6},{4},{2,5}] => {{1},{2,5},{3},{4},{6}}
[3,5,4,5,1,2] => [2,1,5,4,5,3] => [{2},{1},{6},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,4,5,2,1] => [1,2,5,4,5,3] => [{1},{2},{6},{4},{3,5}] => {{1},{2},{3,5},{4},{6}}
[3,5,5,1,2,4] => [4,2,1,5,5,3] => [{3},{2},{6},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,5,5,1,4,2] => [2,4,1,5,5,3] => [{3},{1},{6},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,5,5,2,1,4] => [4,1,2,5,5,3] => [{2},{3},{6},{1},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,5,5,2,4,1] => [1,4,2,5,5,3] => [{1},{3},{6},{2},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,5,5,4,1,2] => [2,1,4,5,5,3] => [{2},{1},{6},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[3,5,5,4,2,1] => [1,2,4,5,5,3] => [{1},{2},{6},{3},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,1,2,3,5,5] => [5,5,3,2,1,4] => [{5},{4},{3},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,1,2,5,3,5] => [5,3,5,2,1,4] => [{5},{4},{2},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,1,2,5,5,3] => [3,5,5,2,1,4] => [{5},{4},{1},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,1,3,2,5,5] => [5,5,2,3,1,4] => [{5},{3},{4},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,1,3,5,2,5] => [5,2,5,3,1,4] => [{5},{2},{4},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,1,3,5,5,2] => [2,5,5,3,1,4] => [{5},{1},{4},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,1,5,2,3,5] => [5,3,2,5,1,4] => [{5},{3},{2},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,1,5,2,5,3] => [3,5,2,5,1,4] => [{5},{3},{1},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,1,5,3,2,5] => [5,2,3,5,1,4] => [{5},{2},{3},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,1,5,3,5,2] => [2,5,3,5,1,4] => [{5},{1},{3},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,1,5,5,2,3] => [3,2,5,5,1,4] => [{5},{2},{1},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,1,5,5,3,2] => [2,3,5,5,1,4] => [{5},{1},{2},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,2,1,3,5,5] => [5,5,3,1,2,4] => [{4},{5},{3},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,2,1,5,3,5] => [5,3,5,1,2,4] => [{4},{5},{2},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,2,1,5,5,3] => [3,5,5,1,2,4] => [{4},{5},{1},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,2,3,1,5,5] => [5,5,1,3,2,4] => [{3},{5},{4},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,2,3,5,1,5] => [5,1,5,3,2,4] => [{2},{5},{4},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,2,3,5,5,1] => [1,5,5,3,2,4] => [{1},{5},{4},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,2,5,1,3,5] => [5,3,1,5,2,4] => [{3},{5},{2},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,2,5,1,5,3] => [3,5,1,5,2,4] => [{3},{5},{1},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,2,5,3,1,5] => [5,1,3,5,2,4] => [{2},{5},{3},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,2,5,3,5,1] => [1,5,3,5,2,4] => [{1},{5},{3},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,2,5,5,1,3] => [3,1,5,5,2,4] => [{2},{5},{1},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,2,5,5,3,1] => [1,3,5,5,2,4] => [{1},{5},{2},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,3,1,2,5,5] => [5,5,2,1,3,4] => [{4},{3},{5},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,3,1,5,2,5] => [5,2,5,1,3,4] => [{4},{2},{5},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,3,1,5,5,2] => [2,5,5,1,3,4] => [{4},{1},{5},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,3,2,1,5,5] => [5,5,1,2,3,4] => [{3},{4},{5},{6},{1,2}] => {{1,2},{3},{4},{5},{6}}
[4,3,2,5,1,5] => [5,1,5,2,3,4] => [{2},{4},{5},{6},{1,3}] => {{1,3},{2},{4},{5},{6}}
[4,3,2,5,5,1] => [1,5,5,2,3,4] => [{1},{4},{5},{6},{2,3}] => {{1},{2,3},{4},{5},{6}}
[4,3,5,1,2,5] => [5,2,1,5,3,4] => [{3},{2},{5},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,3,5,1,5,2] => [2,5,1,5,3,4] => [{3},{1},{5},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,3,5,2,1,5] => [5,1,2,5,3,4] => [{2},{3},{5},{6},{1,4}] => {{1,4},{2},{3},{5},{6}}
[4,3,5,2,5,1] => [1,5,2,5,3,4] => [{1},{3},{5},{6},{2,4}] => {{1},{2,4},{3},{5},{6}}
[4,3,5,5,1,2] => [2,1,5,5,3,4] => [{2},{1},{5},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,3,5,5,2,1] => [1,2,5,5,3,4] => [{1},{2},{5},{6},{3,4}] => {{1},{2},{3,4},{5},{6}}
[4,5,1,2,3,5] => [5,3,2,1,5,4] => [{4},{3},{2},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,1,2,5,3] => [3,5,2,1,5,4] => [{4},{3},{1},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,1,3,2,5] => [5,2,3,1,5,4] => [{4},{2},{3},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,1,3,5,2] => [2,5,3,1,5,4] => [{4},{1},{3},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,1,5,2,3] => [3,2,5,1,5,4] => [{4},{2},{1},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,1,5,3,2] => [2,3,5,1,5,4] => [{4},{1},{2},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,2,1,3,5] => [5,3,1,2,5,4] => [{3},{4},{2},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,2,1,5,3] => [3,5,1,2,5,4] => [{3},{4},{1},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,2,3,1,5] => [5,1,3,2,5,4] => [{2},{4},{3},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,2,3,5,1] => [1,5,3,2,5,4] => [{1},{4},{3},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,2,5,1,3] => [3,1,5,2,5,4] => [{2},{4},{1},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,2,5,3,1] => [1,3,5,2,5,4] => [{1},{4},{2},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,3,1,2,5] => [5,2,1,3,5,4] => [{3},{2},{4},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,3,1,5,2] => [2,5,1,3,5,4] => [{3},{1},{4},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,3,2,1,5] => [5,1,2,3,5,4] => [{2},{3},{4},{6},{1,5}] => {{1,5},{2},{3},{4},{6}}
[4,5,3,2,5,1] => [1,5,2,3,5,4] => [{1},{3},{4},{6},{2,5}] => {{1},{2,5},{3},{4},{6}}
[4,5,3,5,1,2] => [2,1,5,3,5,4] => [{2},{1},{4},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,3,5,2,1] => [1,2,5,3,5,4] => [{1},{2},{4},{6},{3,5}] => {{1},{2},{3,5},{4},{6}}
[4,5,5,1,2,3] => [3,2,1,5,5,4] => [{3},{2},{1},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,5,5,1,3,2] => [2,3,1,5,5,4] => [{3},{1},{2},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,5,5,2,1,3] => [3,1,2,5,5,4] => [{2},{3},{1},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,5,5,2,3,1] => [1,3,2,5,5,4] => [{1},{3},{2},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,5,5,3,1,2] => [2,1,3,5,5,4] => [{2},{1},{3},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[4,5,5,3,2,1] => [1,2,3,5,5,4] => [{1},{2},{3},{6},{4,5}] => {{1},{2},{3},{4,5},{6}}
[5,1,2,3,4,5] => [5,4,3,2,1,5] => [{5},{4},{3},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,2,3,5,4] => [4,5,3,2,1,5] => [{5},{4},{3},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,2,4,3,5] => [5,3,4,2,1,5] => [{5},{4},{2},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,2,4,5,3] => [3,5,4,2,1,5] => [{5},{4},{1},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,2,5,3,4] => [4,3,5,2,1,5] => [{5},{4},{2},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,2,5,4,3] => [3,4,5,2,1,5] => [{5},{4},{1},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,3,2,4,5] => [5,4,2,3,1,5] => [{5},{3},{4},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,3,2,5,4] => [4,5,2,3,1,5] => [{5},{3},{4},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,3,4,2,5] => [5,2,4,3,1,5] => [{5},{2},{4},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,3,4,5,2] => [2,5,4,3,1,5] => [{5},{1},{4},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,3,5,2,4] => [4,2,5,3,1,5] => [{5},{2},{4},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,3,5,4,2] => [2,4,5,3,1,5] => [{5},{1},{4},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,4,2,3,5] => [5,3,2,4,1,5] => [{5},{3},{2},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,4,2,5,3] => [3,5,2,4,1,5] => [{5},{3},{1},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,4,3,2,5] => [5,2,3,4,1,5] => [{5},{2},{3},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,1,4,3,5,2] => [2,5,3,4,1,5] => [{5},{1},{3},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,1,4,5,2,3] => [3,2,5,4,1,5] => [{5},{2},{1},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,4,5,3,2] => [2,3,5,4,1,5] => [{5},{1},{2},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,1,5,2,3,4] => [4,3,2,5,1,5] => [{5},{3},{2},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,1,5,2,4,3] => [3,4,2,5,1,5] => [{5},{3},{1},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,1,5,3,2,4] => [4,2,3,5,1,5] => [{5},{2},{3},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,1,5,3,4,2] => [2,4,3,5,1,5] => [{5},{1},{3},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,1,5,4,2,3] => [3,2,4,5,1,5] => [{5},{2},{1},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,1,5,4,3,2] => [2,3,4,5,1,5] => [{5},{1},{2},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,1,3,4,5] => [5,4,3,1,2,5] => [{4},{5},{3},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,1,3,5,4] => [4,5,3,1,2,5] => [{4},{5},{3},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,1,4,3,5] => [5,3,4,1,2,5] => [{4},{5},{2},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,1,4,5,3] => [3,5,4,1,2,5] => [{4},{5},{1},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,1,5,3,4] => [4,3,5,1,2,5] => [{4},{5},{2},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,1,5,4,3] => [3,4,5,1,2,5] => [{4},{5},{1},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,3,1,4,5] => [5,4,1,3,2,5] => [{3},{5},{4},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,3,1,5,4] => [4,5,1,3,2,5] => [{3},{5},{4},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,3,4,1,5] => [5,1,4,3,2,5] => [{2},{5},{4},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,3,4,5,1] => [1,5,4,3,2,5] => [{1},{5},{4},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,3,5,1,4] => [4,1,5,3,2,5] => [{2},{5},{4},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,3,5,4,1] => [1,4,5,3,2,5] => [{1},{5},{4},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,4,1,3,5] => [5,3,1,4,2,5] => [{3},{5},{2},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,4,1,5,3] => [3,5,1,4,2,5] => [{3},{5},{1},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,4,3,1,5] => [5,1,3,4,2,5] => [{2},{5},{3},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,2,4,3,5,1] => [1,5,3,4,2,5] => [{1},{5},{3},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,2,4,5,1,3] => [3,1,5,4,2,5] => [{2},{5},{1},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,4,5,3,1] => [1,3,5,4,2,5] => [{1},{5},{2},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,2,5,1,3,4] => [4,3,1,5,2,5] => [{3},{5},{2},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,5,1,4,3] => [3,4,1,5,2,5] => [{3},{5},{1},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,5,3,1,4] => [4,1,3,5,2,5] => [{2},{5},{3},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,5,3,4,1] => [1,4,3,5,2,5] => [{1},{5},{3},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,5,4,1,3] => [3,1,4,5,2,5] => [{2},{5},{1},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,2,5,4,3,1] => [1,3,4,5,2,5] => [{1},{5},{2},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,1,2,4,5] => [5,4,2,1,3,5] => [{4},{3},{5},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,1,2,5,4] => [4,5,2,1,3,5] => [{4},{3},{5},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,1,4,2,5] => [5,2,4,1,3,5] => [{4},{2},{5},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,1,4,5,2] => [2,5,4,1,3,5] => [{4},{1},{5},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,1,5,2,4] => [4,2,5,1,3,5] => [{4},{2},{5},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,1,5,4,2] => [2,4,5,1,3,5] => [{4},{1},{5},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,2,1,4,5] => [5,4,1,2,3,5] => [{3},{4},{5},{2},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,2,1,5,4] => [4,5,1,2,3,5] => [{3},{4},{5},{1},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,2,4,1,5] => [5,1,4,2,3,5] => [{2},{4},{5},{3},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,2,4,5,1] => [1,5,4,2,3,5] => [{1},{4},{5},{3},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,2,5,1,4] => [4,1,5,2,3,5] => [{2},{4},{5},{1},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,2,5,4,1] => [1,4,5,2,3,5] => [{1},{4},{5},{2},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,4,1,2,5] => [5,2,1,4,3,5] => [{3},{2},{5},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,4,1,5,2] => [2,5,1,4,3,5] => [{3},{1},{5},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,4,2,1,5] => [5,1,2,4,3,5] => [{2},{3},{5},{4},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,3,4,2,5,1] => [1,5,2,4,3,5] => [{1},{3},{5},{4},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,3,4,5,1,2] => [2,1,5,4,3,5] => [{2},{1},{5},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,4,5,2,1] => [1,2,5,4,3,5] => [{1},{2},{5},{4},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,3,5,1,2,4] => [4,2,1,5,3,5] => [{3},{2},{5},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,5,1,4,2] => [2,4,1,5,3,5] => [{3},{1},{5},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,5,2,1,4] => [4,1,2,5,3,5] => [{2},{3},{5},{1},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,5,2,4,1] => [1,4,2,5,3,5] => [{1},{3},{5},{2},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,5,4,1,2] => [2,1,4,5,3,5] => [{2},{1},{5},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,3,5,4,2,1] => [1,2,4,5,3,5] => [{1},{2},{5},{3},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,1,2,3,5] => [5,3,2,1,4,5] => [{4},{3},{2},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,1,2,5,3] => [3,5,2,1,4,5] => [{4},{3},{1},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,1,3,2,5] => [5,2,3,1,4,5] => [{4},{2},{3},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,1,3,5,2] => [2,5,3,1,4,5] => [{4},{1},{3},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,1,5,2,3] => [3,2,5,1,4,5] => [{4},{2},{1},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,1,5,3,2] => [2,3,5,1,4,5] => [{4},{1},{2},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,2,1,3,5] => [5,3,1,2,4,5] => [{3},{4},{2},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,2,1,5,3] => [3,5,1,2,4,5] => [{3},{4},{1},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,2,3,1,5] => [5,1,3,2,4,5] => [{2},{4},{3},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,2,3,5,1] => [1,5,3,2,4,5] => [{1},{4},{3},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,2,5,1,3] => [3,1,5,2,4,5] => [{2},{4},{1},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,2,5,3,1] => [1,3,5,2,4,5] => [{1},{4},{2},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,3,1,2,5] => [5,2,1,3,4,5] => [{3},{2},{4},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,3,1,5,2] => [2,5,1,3,4,5] => [{3},{1},{4},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,3,2,1,5] => [5,1,2,3,4,5] => [{2},{3},{4},{5},{1,6}] => {{1,6},{2},{3},{4},{5}}
[5,4,3,2,5,1] => [1,5,2,3,4,5] => [{1},{3},{4},{5},{2,6}] => {{1},{2,6},{3},{4},{5}}
[5,4,3,5,1,2] => [2,1,5,3,4,5] => [{2},{1},{4},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,3,5,2,1] => [1,2,5,3,4,5] => [{1},{2},{4},{5},{3,6}] => {{1},{2},{3,6},{4},{5}}
[5,4,5,1,2,3] => [3,2,1,5,4,5] => [{3},{2},{1},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,5,1,3,2] => [2,3,1,5,4,5] => [{3},{1},{2},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,5,2,1,3] => [3,1,2,5,4,5] => [{2},{3},{1},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,5,2,3,1] => [1,3,2,5,4,5] => [{1},{3},{2},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,5,3,1,2] => [2,1,3,5,4,5] => [{2},{1},{3},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,4,5,3,2,1] => [1,2,3,5,4,5] => [{1},{2},{3},{5},{4,6}] => {{1},{2},{3},{4,6},{5}}
[5,5,1,2,3,4] => [4,3,2,1,5,5] => [{4},{3},{2},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,1,2,4,3] => [3,4,2,1,5,5] => [{4},{3},{1},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,1,3,2,4] => [4,2,3,1,5,5] => [{4},{2},{3},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,1,3,4,2] => [2,4,3,1,5,5] => [{4},{1},{3},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,1,4,2,3] => [3,2,4,1,5,5] => [{4},{2},{1},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,1,4,3,2] => [2,3,4,1,5,5] => [{4},{1},{2},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,1,3,4] => [4,3,1,2,5,5] => [{3},{4},{2},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,1,4,3] => [3,4,1,2,5,5] => [{3},{4},{1},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,3,1,4] => [4,1,3,2,5,5] => [{2},{4},{3},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,3,4,1] => [1,4,3,2,5,5] => [{1},{4},{3},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,4,1,3] => [3,1,4,2,5,5] => [{2},{4},{1},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,2,4,3,1] => [1,3,4,2,5,5] => [{1},{4},{2},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,1,2,4] => [4,2,1,3,5,5] => [{3},{2},{4},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,1,4,2] => [2,4,1,3,5,5] => [{3},{1},{4},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,2,1,4] => [4,1,2,3,5,5] => [{2},{3},{4},{1},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,2,4,1] => [1,4,2,3,5,5] => [{1},{3},{4},{2},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,4,1,2] => [2,1,4,3,5,5] => [{2},{1},{4},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,3,4,2,1] => [1,2,4,3,5,5] => [{1},{2},{4},{3},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,1,2,3] => [3,2,1,4,5,5] => [{3},{2},{1},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,1,3,2] => [2,3,1,4,5,5] => [{3},{1},{2},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,2,1,3] => [3,1,2,4,5,5] => [{2},{3},{1},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,2,3,1] => [1,3,2,4,5,5] => [{1},{3},{2},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,3,1,2] => [2,1,3,4,5,5] => [{2},{1},{3},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[5,5,4,3,2,1] => [1,2,3,4,5,5] => [{1},{2},{3},{4},{5,6}] => {{1},{2},{3},{4},{5,6}}
[1,2,3,4,5,6] => [6,5,4,3,2,1] => [{6},{5},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,3,4,6,5] => [5,6,4,3,2,1] => [{6},{5},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,3,5,4,6] => [6,4,5,3,2,1] => [{6},{5},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,3,5,6,4] => [4,6,5,3,2,1] => [{6},{5},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,3,6,4,5] => [5,4,6,3,2,1] => [{6},{5},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,3,6,5,4] => [4,5,6,3,2,1] => [{6},{5},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,3,5,6] => [6,5,3,4,2,1] => [{6},{5},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,3,6,5] => [5,6,3,4,2,1] => [{6},{5},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,5,3,6] => [6,3,5,4,2,1] => [{6},{5},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,5,6,3] => [3,6,5,4,2,1] => [{6},{5},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,6,3,5] => [5,3,6,4,2,1] => [{6},{5},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,4,6,5,3] => [3,5,6,4,2,1] => [{6},{5},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,3,4,6] => [6,4,3,5,2,1] => [{6},{5},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,3,6,4] => [4,6,3,5,2,1] => [{6},{5},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,4,3,6] => [6,3,4,5,2,1] => [{6},{5},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,4,6,3] => [3,6,4,5,2,1] => [{6},{5},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,6,3,4] => [4,3,6,5,2,1] => [{6},{5},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,5,6,4,3] => [3,4,6,5,2,1] => [{6},{5},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,3,4,5] => [5,4,3,6,2,1] => [{6},{5},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,3,5,4] => [4,5,3,6,2,1] => [{6},{5},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,4,3,5] => [5,3,4,6,2,1] => [{6},{5},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,4,5,3] => [3,5,4,6,2,1] => [{6},{5},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,5,3,4] => [4,3,5,6,2,1] => [{6},{5},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,2,6,5,4,3] => [3,4,5,6,2,1] => [{6},{5},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,4,5,6] => [6,5,4,2,3,1] => [{6},{4},{5},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,4,6,5] => [5,6,4,2,3,1] => [{6},{4},{5},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,5,4,6] => [6,4,5,2,3,1] => [{6},{4},{5},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,5,6,4] => [4,6,5,2,3,1] => [{6},{4},{5},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,6,4,5] => [5,4,6,2,3,1] => [{6},{4},{5},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,2,6,5,4] => [4,5,6,2,3,1] => [{6},{4},{5},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,2,5,6] => [6,5,2,4,3,1] => [{6},{3},{5},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,2,6,5] => [5,6,2,4,3,1] => [{6},{3},{5},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,5,2,6] => [6,2,5,4,3,1] => [{6},{2},{5},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,5,6,2] => [2,6,5,4,3,1] => [{6},{1},{5},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,6,2,5] => [5,2,6,4,3,1] => [{6},{2},{5},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,4,6,5,2] => [2,5,6,4,3,1] => [{6},{1},{5},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,2,4,6] => [6,4,2,5,3,1] => [{6},{3},{5},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,2,6,4] => [4,6,2,5,3,1] => [{6},{3},{5},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,4,2,6] => [6,2,4,5,3,1] => [{6},{2},{5},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,4,6,2] => [2,6,4,5,3,1] => [{6},{1},{5},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,6,2,4] => [4,2,6,5,3,1] => [{6},{2},{5},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,5,6,4,2] => [2,4,6,5,3,1] => [{6},{1},{5},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,2,4,5] => [5,4,2,6,3,1] => [{6},{3},{5},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,2,5,4] => [4,5,2,6,3,1] => [{6},{3},{5},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,4,2,5] => [5,2,4,6,3,1] => [{6},{2},{5},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,4,5,2] => [2,5,4,6,3,1] => [{6},{1},{5},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,5,2,4] => [4,2,5,6,3,1] => [{6},{2},{5},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,3,6,5,4,2] => [2,4,5,6,3,1] => [{6},{1},{5},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,3,5,6] => [6,5,3,2,4,1] => [{6},{4},{3},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,3,6,5] => [5,6,3,2,4,1] => [{6},{4},{3},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,5,3,6] => [6,3,5,2,4,1] => [{6},{4},{2},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,5,6,3] => [3,6,5,2,4,1] => [{6},{4},{1},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,6,3,5] => [5,3,6,2,4,1] => [{6},{4},{2},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,2,6,5,3] => [3,5,6,2,4,1] => [{6},{4},{1},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,2,5,6] => [6,5,2,3,4,1] => [{6},{3},{4},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,2,6,5] => [5,6,2,3,4,1] => [{6},{3},{4},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,5,2,6] => [6,2,5,3,4,1] => [{6},{2},{4},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,5,6,2] => [2,6,5,3,4,1] => [{6},{1},{4},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,6,2,5] => [5,2,6,3,4,1] => [{6},{2},{4},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,3,6,5,2] => [2,5,6,3,4,1] => [{6},{1},{4},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,2,3,6] => [6,3,2,5,4,1] => [{6},{3},{2},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,2,6,3] => [3,6,2,5,4,1] => [{6},{3},{1},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,3,2,6] => [6,2,3,5,4,1] => [{6},{2},{3},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,3,6,2] => [2,6,3,5,4,1] => [{6},{1},{3},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,6,2,3] => [3,2,6,5,4,1] => [{6},{2},{1},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,5,6,3,2] => [2,3,6,5,4,1] => [{6},{1},{2},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,2,3,5] => [5,3,2,6,4,1] => [{6},{3},{2},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,2,5,3] => [3,5,2,6,4,1] => [{6},{3},{1},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,3,2,5] => [5,2,3,6,4,1] => [{6},{2},{3},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,3,5,2] => [2,5,3,6,4,1] => [{6},{1},{3},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,5,2,3] => [3,2,5,6,4,1] => [{6},{2},{1},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,4,6,5,3,2] => [2,3,5,6,4,1] => [{6},{1},{2},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,3,4,6] => [6,4,3,2,5,1] => [{6},{4},{3},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,3,6,4] => [4,6,3,2,5,1] => [{6},{4},{3},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,4,3,6] => [6,3,4,2,5,1] => [{6},{4},{2},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,4,6,3] => [3,6,4,2,5,1] => [{6},{4},{1},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,6,3,4] => [4,3,6,2,5,1] => [{6},{4},{2},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,2,6,4,3] => [3,4,6,2,5,1] => [{6},{4},{1},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,2,4,6] => [6,4,2,3,5,1] => [{6},{3},{4},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,2,6,4] => [4,6,2,3,5,1] => [{6},{3},{4},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,4,2,6] => [6,2,4,3,5,1] => [{6},{2},{4},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,4,6,2] => [2,6,4,3,5,1] => [{6},{1},{4},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,6,2,4] => [4,2,6,3,5,1] => [{6},{2},{4},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,3,6,4,2] => [2,4,6,3,5,1] => [{6},{1},{4},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,2,3,6] => [6,3,2,4,5,1] => [{6},{3},{2},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,2,6,3] => [3,6,2,4,5,1] => [{6},{3},{1},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,3,2,6] => [6,2,3,4,5,1] => [{6},{2},{3},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,3,6,2] => [2,6,3,4,5,1] => [{6},{1},{3},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,6,2,3] => [3,2,6,4,5,1] => [{6},{2},{1},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,4,6,3,2] => [2,3,6,4,5,1] => [{6},{1},{2},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,2,3,4] => [4,3,2,6,5,1] => [{6},{3},{2},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,2,4,3] => [3,4,2,6,5,1] => [{6},{3},{1},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,3,2,4] => [4,2,3,6,5,1] => [{6},{2},{3},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,3,4,2] => [2,4,3,6,5,1] => [{6},{1},{3},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,4,2,3] => [3,2,4,6,5,1] => [{6},{2},{1},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,5,6,4,3,2] => [2,3,4,6,5,1] => [{6},{1},{2},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,3,4,5] => [5,4,3,2,6,1] => [{6},{4},{3},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,3,5,4] => [4,5,3,2,6,1] => [{6},{4},{3},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,4,3,5] => [5,3,4,2,6,1] => [{6},{4},{2},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,4,5,3] => [3,5,4,2,6,1] => [{6},{4},{1},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,5,3,4] => [4,3,5,2,6,1] => [{6},{4},{2},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,2,5,4,3] => [3,4,5,2,6,1] => [{6},{4},{1},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,2,4,5] => [5,4,2,3,6,1] => [{6},{3},{4},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,2,5,4] => [4,5,2,3,6,1] => [{6},{3},{4},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,4,2,5] => [5,2,4,3,6,1] => [{6},{2},{4},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,4,5,2] => [2,5,4,3,6,1] => [{6},{1},{4},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,5,2,4] => [4,2,5,3,6,1] => [{6},{2},{4},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,3,5,4,2] => [2,4,5,3,6,1] => [{6},{1},{4},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,2,3,5] => [5,3,2,4,6,1] => [{6},{3},{2},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,2,5,3] => [3,5,2,4,6,1] => [{6},{3},{1},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,3,2,5] => [5,2,3,4,6,1] => [{6},{2},{3},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,3,5,2] => [2,5,3,4,6,1] => [{6},{1},{3},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,5,2,3] => [3,2,5,4,6,1] => [{6},{2},{1},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,4,5,3,2] => [2,3,5,4,6,1] => [{6},{1},{2},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,2,3,4] => [4,3,2,5,6,1] => [{6},{3},{2},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,2,4,3] => [3,4,2,5,6,1] => [{6},{3},{1},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,3,2,4] => [4,2,3,5,6,1] => [{6},{2},{3},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,3,4,2] => [2,4,3,5,6,1] => [{6},{1},{3},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,4,2,3] => [3,2,4,5,6,1] => [{6},{2},{1},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[1,6,5,4,3,2] => [2,3,4,5,6,1] => [{6},{1},{2},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,4,5,6] => [6,5,4,3,1,2] => [{5},{6},{4},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,4,6,5] => [5,6,4,3,1,2] => [{5},{6},{4},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,5,4,6] => [6,4,5,3,1,2] => [{5},{6},{4},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,5,6,4] => [4,6,5,3,1,2] => [{5},{6},{4},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,6,4,5] => [5,4,6,3,1,2] => [{5},{6},{4},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,3,6,5,4] => [4,5,6,3,1,2] => [{5},{6},{4},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,3,5,6] => [6,5,3,4,1,2] => [{5},{6},{3},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,3,6,5] => [5,6,3,4,1,2] => [{5},{6},{3},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,5,3,6] => [6,3,5,4,1,2] => [{5},{6},{2},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,5,6,3] => [3,6,5,4,1,2] => [{5},{6},{1},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,6,3,5] => [5,3,6,4,1,2] => [{5},{6},{2},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,4,6,5,3] => [3,5,6,4,1,2] => [{5},{6},{1},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,3,4,6] => [6,4,3,5,1,2] => [{5},{6},{3},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,3,6,4] => [4,6,3,5,1,2] => [{5},{6},{3},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,4,3,6] => [6,3,4,5,1,2] => [{5},{6},{2},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,4,6,3] => [3,6,4,5,1,2] => [{5},{6},{1},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,6,3,4] => [4,3,6,5,1,2] => [{5},{6},{2},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,5,6,4,3] => [3,4,6,5,1,2] => [{5},{6},{1},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,3,4,5] => [5,4,3,6,1,2] => [{5},{6},{3},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,3,5,4] => [4,5,3,6,1,2] => [{5},{6},{3},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,4,3,5] => [5,3,4,6,1,2] => [{5},{6},{2},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,4,5,3] => [3,5,4,6,1,2] => [{5},{6},{1},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,5,3,4] => [4,3,5,6,1,2] => [{5},{6},{2},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,1,6,5,4,3] => [3,4,5,6,1,2] => [{5},{6},{1},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,4,5,6] => [6,5,4,1,3,2] => [{4},{6},{5},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,4,6,5] => [5,6,4,1,3,2] => [{4},{6},{5},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,5,4,6] => [6,4,5,1,3,2] => [{4},{6},{5},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,5,6,4] => [4,6,5,1,3,2] => [{4},{6},{5},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,6,4,5] => [5,4,6,1,3,2] => [{4},{6},{5},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,1,6,5,4] => [4,5,6,1,3,2] => [{4},{6},{5},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,1,5,6] => [6,5,1,4,3,2] => [{3},{6},{5},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,1,6,5] => [5,6,1,4,3,2] => [{3},{6},{5},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,5,1,6] => [6,1,5,4,3,2] => [{2},{6},{5},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,5,6,1] => [1,6,5,4,3,2] => [{1},{6},{5},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,6,1,5] => [5,1,6,4,3,2] => [{2},{6},{5},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,4,6,5,1] => [1,5,6,4,3,2] => [{1},{6},{5},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,1,4,6] => [6,4,1,5,3,2] => [{3},{6},{5},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,1,6,4] => [4,6,1,5,3,2] => [{3},{6},{5},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,4,1,6] => [6,1,4,5,3,2] => [{2},{6},{5},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,4,6,1] => [1,6,4,5,3,2] => [{1},{6},{5},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,6,1,4] => [4,1,6,5,3,2] => [{2},{6},{5},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,5,6,4,1] => [1,4,6,5,3,2] => [{1},{6},{5},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,1,4,5] => [5,4,1,6,3,2] => [{3},{6},{5},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,1,5,4] => [4,5,1,6,3,2] => [{3},{6},{5},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,4,1,5] => [5,1,4,6,3,2] => [{2},{6},{5},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,4,5,1] => [1,5,4,6,3,2] => [{1},{6},{5},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,5,1,4] => [4,1,5,6,3,2] => [{2},{6},{5},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,3,6,5,4,1] => [1,4,5,6,3,2] => [{1},{6},{5},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,3,5,6] => [6,5,3,1,4,2] => [{4},{6},{3},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,3,6,5] => [5,6,3,1,4,2] => [{4},{6},{3},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,5,3,6] => [6,3,5,1,4,2] => [{4},{6},{2},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,5,6,3] => [3,6,5,1,4,2] => [{4},{6},{1},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,6,3,5] => [5,3,6,1,4,2] => [{4},{6},{2},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,1,6,5,3] => [3,5,6,1,4,2] => [{4},{6},{1},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,1,5,6] => [6,5,1,3,4,2] => [{3},{6},{4},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,1,6,5] => [5,6,1,3,4,2] => [{3},{6},{4},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,5,1,6] => [6,1,5,3,4,2] => [{2},{6},{4},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,5,6,1] => [1,6,5,3,4,2] => [{1},{6},{4},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,6,1,5] => [5,1,6,3,4,2] => [{2},{6},{4},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,3,6,5,1] => [1,5,6,3,4,2] => [{1},{6},{4},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,1,3,6] => [6,3,1,5,4,2] => [{3},{6},{2},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,1,6,3] => [3,6,1,5,4,2] => [{3},{6},{1},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,3,1,6] => [6,1,3,5,4,2] => [{2},{6},{3},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,3,6,1] => [1,6,3,5,4,2] => [{1},{6},{3},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,6,1,3] => [3,1,6,5,4,2] => [{2},{6},{1},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,5,6,3,1] => [1,3,6,5,4,2] => [{1},{6},{2},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,1,3,5] => [5,3,1,6,4,2] => [{3},{6},{2},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,1,5,3] => [3,5,1,6,4,2] => [{3},{6},{1},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,3,1,5] => [5,1,3,6,4,2] => [{2},{6},{3},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,3,5,1] => [1,5,3,6,4,2] => [{1},{6},{3},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,5,1,3] => [3,1,5,6,4,2] => [{2},{6},{1},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,4,6,5,3,1] => [1,3,5,6,4,2] => [{1},{6},{2},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,3,4,6] => [6,4,3,1,5,2] => [{4},{6},{3},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,3,6,4] => [4,6,3,1,5,2] => [{4},{6},{3},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,4,3,6] => [6,3,4,1,5,2] => [{4},{6},{2},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,4,6,3] => [3,6,4,1,5,2] => [{4},{6},{1},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,6,3,4] => [4,3,6,1,5,2] => [{4},{6},{2},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,1,6,4,3] => [3,4,6,1,5,2] => [{4},{6},{1},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,1,4,6] => [6,4,1,3,5,2] => [{3},{6},{4},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,1,6,4] => [4,6,1,3,5,2] => [{3},{6},{4},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,4,1,6] => [6,1,4,3,5,2] => [{2},{6},{4},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,4,6,1] => [1,6,4,3,5,2] => [{1},{6},{4},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,6,1,4] => [4,1,6,3,5,2] => [{2},{6},{4},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,3,6,4,1] => [1,4,6,3,5,2] => [{1},{6},{4},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,1,3,6] => [6,3,1,4,5,2] => [{3},{6},{2},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,1,6,3] => [3,6,1,4,5,2] => [{3},{6},{1},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,3,1,6] => [6,1,3,4,5,2] => [{2},{6},{3},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,3,6,1] => [1,6,3,4,5,2] => [{1},{6},{3},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,6,1,3] => [3,1,6,4,5,2] => [{2},{6},{1},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,4,6,3,1] => [1,3,6,4,5,2] => [{1},{6},{2},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,1,3,4] => [4,3,1,6,5,2] => [{3},{6},{2},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,1,4,3] => [3,4,1,6,5,2] => [{3},{6},{1},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,3,1,4] => [4,1,3,6,5,2] => [{2},{6},{3},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,3,4,1] => [1,4,3,6,5,2] => [{1},{6},{3},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,4,1,3] => [3,1,4,6,5,2] => [{2},{6},{1},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,5,6,4,3,1] => [1,3,4,6,5,2] => [{1},{6},{2},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,3,4,5] => [5,4,3,1,6,2] => [{4},{6},{3},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,3,5,4] => [4,5,3,1,6,2] => [{4},{6},{3},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,4,3,5] => [5,3,4,1,6,2] => [{4},{6},{2},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,4,5,3] => [3,5,4,1,6,2] => [{4},{6},{1},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,5,3,4] => [4,3,5,1,6,2] => [{4},{6},{2},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,1,5,4,3] => [3,4,5,1,6,2] => [{4},{6},{1},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,1,4,5] => [5,4,1,3,6,2] => [{3},{6},{4},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,1,5,4] => [4,5,1,3,6,2] => [{3},{6},{4},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,4,1,5] => [5,1,4,3,6,2] => [{2},{6},{4},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,4,5,1] => [1,5,4,3,6,2] => [{1},{6},{4},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,5,1,4] => [4,1,5,3,6,2] => [{2},{6},{4},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,3,5,4,1] => [1,4,5,3,6,2] => [{1},{6},{4},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,1,3,5] => [5,3,1,4,6,2] => [{3},{6},{2},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,1,5,3] => [3,5,1,4,6,2] => [{3},{6},{1},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,3,1,5] => [5,1,3,4,6,2] => [{2},{6},{3},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,3,5,1] => [1,5,3,4,6,2] => [{1},{6},{3},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,5,1,3] => [3,1,5,4,6,2] => [{2},{6},{1},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,4,5,3,1] => [1,3,5,4,6,2] => [{1},{6},{2},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,1,3,4] => [4,3,1,5,6,2] => [{3},{6},{2},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,1,4,3] => [3,4,1,5,6,2] => [{3},{6},{1},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,3,1,4] => [4,1,3,5,6,2] => [{2},{6},{3},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,3,4,1] => [1,4,3,5,6,2] => [{1},{6},{3},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,4,1,3] => [3,1,4,5,6,2] => [{2},{6},{1},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[2,6,5,4,3,1] => [1,3,4,5,6,2] => [{1},{6},{2},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,4,5,6] => [6,5,4,2,1,3] => [{5},{4},{6},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,4,6,5] => [5,6,4,2,1,3] => [{5},{4},{6},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,5,4,6] => [6,4,5,2,1,3] => [{5},{4},{6},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,5,6,4] => [4,6,5,2,1,3] => [{5},{4},{6},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,6,4,5] => [5,4,6,2,1,3] => [{5},{4},{6},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,2,6,5,4] => [4,5,6,2,1,3] => [{5},{4},{6},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,2,5,6] => [6,5,2,4,1,3] => [{5},{3},{6},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,2,6,5] => [5,6,2,4,1,3] => [{5},{3},{6},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,5,2,6] => [6,2,5,4,1,3] => [{5},{2},{6},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,5,6,2] => [2,6,5,4,1,3] => [{5},{1},{6},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,6,2,5] => [5,2,6,4,1,3] => [{5},{2},{6},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,4,6,5,2] => [2,5,6,4,1,3] => [{5},{1},{6},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,2,4,6] => [6,4,2,5,1,3] => [{5},{3},{6},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,2,6,4] => [4,6,2,5,1,3] => [{5},{3},{6},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,4,2,6] => [6,2,4,5,1,3] => [{5},{2},{6},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,4,6,2] => [2,6,4,5,1,3] => [{5},{1},{6},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,6,2,4] => [4,2,6,5,1,3] => [{5},{2},{6},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,5,6,4,2] => [2,4,6,5,1,3] => [{5},{1},{6},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,2,4,5] => [5,4,2,6,1,3] => [{5},{3},{6},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,2,5,4] => [4,5,2,6,1,3] => [{5},{3},{6},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,4,2,5] => [5,2,4,6,1,3] => [{5},{2},{6},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,4,5,2] => [2,5,4,6,1,3] => [{5},{1},{6},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,5,2,4] => [4,2,5,6,1,3] => [{5},{2},{6},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,1,6,5,4,2] => [2,4,5,6,1,3] => [{5},{1},{6},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,4,5,6] => [6,5,4,1,2,3] => [{4},{5},{6},{3},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,4,6,5] => [5,6,4,1,2,3] => [{4},{5},{6},{3},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,5,4,6] => [6,4,5,1,2,3] => [{4},{5},{6},{2},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,5,6,4] => [4,6,5,1,2,3] => [{4},{5},{6},{1},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,6,4,5] => [5,4,6,1,2,3] => [{4},{5},{6},{2},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,1,6,5,4] => [4,5,6,1,2,3] => [{4},{5},{6},{1},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,1,5,6] => [6,5,1,4,2,3] => [{3},{5},{6},{4},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,1,6,5] => [5,6,1,4,2,3] => [{3},{5},{6},{4},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,5,1,6] => [6,1,5,4,2,3] => [{2},{5},{6},{4},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,5,6,1] => [1,6,5,4,2,3] => [{1},{5},{6},{4},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,6,1,5] => [5,1,6,4,2,3] => [{2},{5},{6},{4},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,4,6,5,1] => [1,5,6,4,2,3] => [{1},{5},{6},{4},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,1,4,6] => [6,4,1,5,2,3] => [{3},{5},{6},{2},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,1,6,4] => [4,6,1,5,2,3] => [{3},{5},{6},{1},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,4,1,6] => [6,1,4,5,2,3] => [{2},{5},{6},{3},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,4,6,1] => [1,6,4,5,2,3] => [{1},{5},{6},{3},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,6,1,4] => [4,1,6,5,2,3] => [{2},{5},{6},{1},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,5,6,4,1] => [1,4,6,5,2,3] => [{1},{5},{6},{2},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,1,4,5] => [5,4,1,6,2,3] => [{3},{5},{6},{2},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,1,5,4] => [4,5,1,6,2,3] => [{3},{5},{6},{1},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,4,1,5] => [5,1,4,6,2,3] => [{2},{5},{6},{3},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,4,5,1] => [1,5,4,6,2,3] => [{1},{5},{6},{3},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,5,1,4] => [4,1,5,6,2,3] => [{2},{5},{6},{1},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,2,6,5,4,1] => [1,4,5,6,2,3] => [{1},{5},{6},{2},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,2,5,6] => [6,5,2,1,4,3] => [{4},{3},{6},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,2,6,5] => [5,6,2,1,4,3] => [{4},{3},{6},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,5,2,6] => [6,2,5,1,4,3] => [{4},{2},{6},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,5,6,2] => [2,6,5,1,4,3] => [{4},{1},{6},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,6,2,5] => [5,2,6,1,4,3] => [{4},{2},{6},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,1,6,5,2] => [2,5,6,1,4,3] => [{4},{1},{6},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,1,5,6] => [6,5,1,2,4,3] => [{3},{4},{6},{5},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,1,6,5] => [5,6,1,2,4,3] => [{3},{4},{6},{5},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,5,1,6] => [6,1,5,2,4,3] => [{2},{4},{6},{5},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,5,6,1] => [1,6,5,2,4,3] => [{1},{4},{6},{5},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,6,1,5] => [5,1,6,2,4,3] => [{2},{4},{6},{5},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,2,6,5,1] => [1,5,6,2,4,3] => [{1},{4},{6},{5},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,1,2,6] => [6,2,1,5,4,3] => [{3},{2},{6},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,1,6,2] => [2,6,1,5,4,3] => [{3},{1},{6},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,2,1,6] => [6,1,2,5,4,3] => [{2},{3},{6},{5},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,2,6,1] => [1,6,2,5,4,3] => [{1},{3},{6},{5},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,6,1,2] => [2,1,6,5,4,3] => [{2},{1},{6},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,5,6,2,1] => [1,2,6,5,4,3] => [{1},{2},{6},{5},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,1,2,5] => [5,2,1,6,4,3] => [{3},{2},{6},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,1,5,2] => [2,5,1,6,4,3] => [{3},{1},{6},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,2,1,5] => [5,1,2,6,4,3] => [{2},{3},{6},{5},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,2,5,1] => [1,5,2,6,4,3] => [{1},{3},{6},{5},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,5,1,2] => [2,1,5,6,4,3] => [{2},{1},{6},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,4,6,5,2,1] => [1,2,5,6,4,3] => [{1},{2},{6},{5},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,2,4,6] => [6,4,2,1,5,3] => [{4},{3},{6},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,2,6,4] => [4,6,2,1,5,3] => [{4},{3},{6},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,4,2,6] => [6,2,4,1,5,3] => [{4},{2},{6},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,4,6,2] => [2,6,4,1,5,3] => [{4},{1},{6},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,6,2,4] => [4,2,6,1,5,3] => [{4},{2},{6},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,1,6,4,2] => [2,4,6,1,5,3] => [{4},{1},{6},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,1,4,6] => [6,4,1,2,5,3] => [{3},{4},{6},{2},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,1,6,4] => [4,6,1,2,5,3] => [{3},{4},{6},{1},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,4,1,6] => [6,1,4,2,5,3] => [{2},{4},{6},{3},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,4,6,1] => [1,6,4,2,5,3] => [{1},{4},{6},{3},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,6,1,4] => [4,1,6,2,5,3] => [{2},{4},{6},{1},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,2,6,4,1] => [1,4,6,2,5,3] => [{1},{4},{6},{2},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,1,2,6] => [6,2,1,4,5,3] => [{3},{2},{6},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,1,6,2] => [2,6,1,4,5,3] => [{3},{1},{6},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,2,1,6] => [6,1,2,4,5,3] => [{2},{3},{6},{4},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,2,6,1] => [1,6,2,4,5,3] => [{1},{3},{6},{4},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,6,1,2] => [2,1,6,4,5,3] => [{2},{1},{6},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,4,6,2,1] => [1,2,6,4,5,3] => [{1},{2},{6},{4},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,1,2,4] => [4,2,1,6,5,3] => [{3},{2},{6},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,1,4,2] => [2,4,1,6,5,3] => [{3},{1},{6},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,2,1,4] => [4,1,2,6,5,3] => [{2},{3},{6},{1},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,2,4,1] => [1,4,2,6,5,3] => [{1},{3},{6},{2},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,4,1,2] => [2,1,4,6,5,3] => [{2},{1},{6},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,5,6,4,2,1] => [1,2,4,6,5,3] => [{1},{2},{6},{3},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,2,4,5] => [5,4,2,1,6,3] => [{4},{3},{6},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,2,5,4] => [4,5,2,1,6,3] => [{4},{3},{6},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,4,2,5] => [5,2,4,1,6,3] => [{4},{2},{6},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,4,5,2] => [2,5,4,1,6,3] => [{4},{1},{6},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,5,2,4] => [4,2,5,1,6,3] => [{4},{2},{6},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,1,5,4,2] => [2,4,5,1,6,3] => [{4},{1},{6},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,1,4,5] => [5,4,1,2,6,3] => [{3},{4},{6},{2},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,1,5,4] => [4,5,1,2,6,3] => [{3},{4},{6},{1},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,4,1,5] => [5,1,4,2,6,3] => [{2},{4},{6},{3},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,4,5,1] => [1,5,4,2,6,3] => [{1},{4},{6},{3},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,5,1,4] => [4,1,5,2,6,3] => [{2},{4},{6},{1},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,2,5,4,1] => [1,4,5,2,6,3] => [{1},{4},{6},{2},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,1,2,5] => [5,2,1,4,6,3] => [{3},{2},{6},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,1,5,2] => [2,5,1,4,6,3] => [{3},{1},{6},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,2,1,5] => [5,1,2,4,6,3] => [{2},{3},{6},{4},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,2,5,1] => [1,5,2,4,6,3] => [{1},{3},{6},{4},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,5,1,2] => [2,1,5,4,6,3] => [{2},{1},{6},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,4,5,2,1] => [1,2,5,4,6,3] => [{1},{2},{6},{4},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,1,2,4] => [4,2,1,5,6,3] => [{3},{2},{6},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,1,4,2] => [2,4,1,5,6,3] => [{3},{1},{6},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,2,1,4] => [4,1,2,5,6,3] => [{2},{3},{6},{1},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,2,4,1] => [1,4,2,5,6,3] => [{1},{3},{6},{2},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,4,1,2] => [2,1,4,5,6,3] => [{2},{1},{6},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[3,6,5,4,2,1] => [1,2,4,5,6,3] => [{1},{2},{6},{3},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,3,5,6] => [6,5,3,2,1,4] => [{5},{4},{3},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,3,6,5] => [5,6,3,2,1,4] => [{5},{4},{3},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,5,3,6] => [6,3,5,2,1,4] => [{5},{4},{2},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,5,6,3] => [3,6,5,2,1,4] => [{5},{4},{1},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,6,3,5] => [5,3,6,2,1,4] => [{5},{4},{2},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,2,6,5,3] => [3,5,6,2,1,4] => [{5},{4},{1},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,2,5,6] => [6,5,2,3,1,4] => [{5},{3},{4},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,2,6,5] => [5,6,2,3,1,4] => [{5},{3},{4},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,5,2,6] => [6,2,5,3,1,4] => [{5},{2},{4},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,5,6,2] => [2,6,5,3,1,4] => [{5},{1},{4},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,6,2,5] => [5,2,6,3,1,4] => [{5},{2},{4},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,3,6,5,2] => [2,5,6,3,1,4] => [{5},{1},{4},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,2,3,6] => [6,3,2,5,1,4] => [{5},{3},{2},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,2,6,3] => [3,6,2,5,1,4] => [{5},{3},{1},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,3,2,6] => [6,2,3,5,1,4] => [{5},{2},{3},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,3,6,2] => [2,6,3,5,1,4] => [{5},{1},{3},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,6,2,3] => [3,2,6,5,1,4] => [{5},{2},{1},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,5,6,3,2] => [2,3,6,5,1,4] => [{5},{1},{2},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,2,3,5] => [5,3,2,6,1,4] => [{5},{3},{2},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,2,5,3] => [3,5,2,6,1,4] => [{5},{3},{1},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,3,2,5] => [5,2,3,6,1,4] => [{5},{2},{3},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,3,5,2] => [2,5,3,6,1,4] => [{5},{1},{3},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,5,2,3] => [3,2,5,6,1,4] => [{5},{2},{1},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,1,6,5,3,2] => [2,3,5,6,1,4] => [{5},{1},{2},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,3,5,6] => [6,5,3,1,2,4] => [{4},{5},{3},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,3,6,5] => [5,6,3,1,2,4] => [{4},{5},{3},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,5,3,6] => [6,3,5,1,2,4] => [{4},{5},{2},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,5,6,3] => [3,6,5,1,2,4] => [{4},{5},{1},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,6,3,5] => [5,3,6,1,2,4] => [{4},{5},{2},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,1,6,5,3] => [3,5,6,1,2,4] => [{4},{5},{1},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,1,5,6] => [6,5,1,3,2,4] => [{3},{5},{4},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,1,6,5] => [5,6,1,3,2,4] => [{3},{5},{4},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,5,1,6] => [6,1,5,3,2,4] => [{2},{5},{4},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,5,6,1] => [1,6,5,3,2,4] => [{1},{5},{4},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,6,1,5] => [5,1,6,3,2,4] => [{2},{5},{4},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,3,6,5,1] => [1,5,6,3,2,4] => [{1},{5},{4},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,1,3,6] => [6,3,1,5,2,4] => [{3},{5},{2},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,1,6,3] => [3,6,1,5,2,4] => [{3},{5},{1},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,3,1,6] => [6,1,3,5,2,4] => [{2},{5},{3},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,3,6,1] => [1,6,3,5,2,4] => [{1},{5},{3},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,6,1,3] => [3,1,6,5,2,4] => [{2},{5},{1},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,5,6,3,1] => [1,3,6,5,2,4] => [{1},{5},{2},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,1,3,5] => [5,3,1,6,2,4] => [{3},{5},{2},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,1,5,3] => [3,5,1,6,2,4] => [{3},{5},{1},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,3,1,5] => [5,1,3,6,2,4] => [{2},{5},{3},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,3,5,1] => [1,5,3,6,2,4] => [{1},{5},{3},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,5,1,3] => [3,1,5,6,2,4] => [{2},{5},{1},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,2,6,5,3,1] => [1,3,5,6,2,4] => [{1},{5},{2},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,2,5,6] => [6,5,2,1,3,4] => [{4},{3},{5},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,2,6,5] => [5,6,2,1,3,4] => [{4},{3},{5},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,5,2,6] => [6,2,5,1,3,4] => [{4},{2},{5},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,5,6,2] => [2,6,5,1,3,4] => [{4},{1},{5},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,6,2,5] => [5,2,6,1,3,4] => [{4},{2},{5},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,1,6,5,2] => [2,5,6,1,3,4] => [{4},{1},{5},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,1,5,6] => [6,5,1,2,3,4] => [{3},{4},{5},{6},{2},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,1,6,5] => [5,6,1,2,3,4] => [{3},{4},{5},{6},{1},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,5,1,6] => [6,1,5,2,3,4] => [{2},{4},{5},{6},{3},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,5,6,1] => [1,6,5,2,3,4] => [{1},{4},{5},{6},{3},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,6,1,5] => [5,1,6,2,3,4] => [{2},{4},{5},{6},{1},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,2,6,5,1] => [1,5,6,2,3,4] => [{1},{4},{5},{6},{2},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,1,2,6] => [6,2,1,5,3,4] => [{3},{2},{5},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,1,6,2] => [2,6,1,5,3,4] => [{3},{1},{5},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,2,1,6] => [6,1,2,5,3,4] => [{2},{3},{5},{6},{4},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,2,6,1] => [1,6,2,5,3,4] => [{1},{3},{5},{6},{4},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,6,1,2] => [2,1,6,5,3,4] => [{2},{1},{5},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,5,6,2,1] => [1,2,6,5,3,4] => [{1},{2},{5},{6},{4},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,1,2,5] => [5,2,1,6,3,4] => [{3},{2},{5},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,1,5,2] => [2,5,1,6,3,4] => [{3},{1},{5},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,2,1,5] => [5,1,2,6,3,4] => [{2},{3},{5},{6},{1},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,2,5,1] => [1,5,2,6,3,4] => [{1},{3},{5},{6},{2},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,5,1,2] => [2,1,5,6,3,4] => [{2},{1},{5},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,3,6,5,2,1] => [1,2,5,6,3,4] => [{1},{2},{5},{6},{3},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,2,3,6] => [6,3,2,1,5,4] => [{4},{3},{2},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,2,6,3] => [3,6,2,1,5,4] => [{4},{3},{1},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,3,2,6] => [6,2,3,1,5,4] => [{4},{2},{3},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,3,6,2] => [2,6,3,1,5,4] => [{4},{1},{3},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,6,2,3] => [3,2,6,1,5,4] => [{4},{2},{1},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,1,6,3,2] => [2,3,6,1,5,4] => [{4},{1},{2},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,1,3,6] => [6,3,1,2,5,4] => [{3},{4},{2},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,1,6,3] => [3,6,1,2,5,4] => [{3},{4},{1},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,3,1,6] => [6,1,3,2,5,4] => [{2},{4},{3},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,3,6,1] => [1,6,3,2,5,4] => [{1},{4},{3},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,6,1,3] => [3,1,6,2,5,4] => [{2},{4},{1},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,2,6,3,1] => [1,3,6,2,5,4] => [{1},{4},{2},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,1,2,6] => [6,2,1,3,5,4] => [{3},{2},{4},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,1,6,2] => [2,6,1,3,5,4] => [{3},{1},{4},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,2,1,6] => [6,1,2,3,5,4] => [{2},{3},{4},{6},{5},{1}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,2,6,1] => [1,6,2,3,5,4] => [{1},{3},{4},{6},{5},{2}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,6,1,2] => [2,1,6,3,5,4] => [{2},{1},{4},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,3,6,2,1] => [1,2,6,3,5,4] => [{1},{2},{4},{6},{5},{3}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,1,2,3] => [3,2,1,6,5,4] => [{3},{2},{1},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,1,3,2] => [2,3,1,6,5,4] => [{3},{1},{2},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,2,1,3] => [3,1,2,6,5,4] => [{2},{3},{1},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,2,3,1] => [1,3,2,6,5,4] => [{1},{3},{2},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,3,1,2] => [2,1,3,6,5,4] => [{2},{1},{3},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,5,6,3,2,1] => [1,2,3,6,5,4] => [{1},{2},{3},{6},{5},{4}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,2,3,5] => [5,3,2,1,6,4] => [{4},{3},{2},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,2,5,3] => [3,5,2,1,6,4] => [{4},{3},{1},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,3,2,5] => [5,2,3,1,6,4] => [{4},{2},{3},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,3,5,2] => [2,5,3,1,6,4] => [{4},{1},{3},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,5,2,3] => [3,2,5,1,6,4] => [{4},{2},{1},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,1,5,3,2] => [2,3,5,1,6,4] => [{4},{1},{2},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,1,3,5] => [5,3,1,2,6,4] => [{3},{4},{2},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,1,5,3] => [3,5,1,2,6,4] => [{3},{4},{1},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,3,1,5] => [5,1,3,2,6,4] => [{2},{4},{3},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,3,5,1] => [1,5,3,2,6,4] => [{1},{4},{3},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,5,1,3] => [3,1,5,2,6,4] => [{2},{4},{1},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,2,5,3,1] => [1,3,5,2,6,4] => [{1},{4},{2},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,1,2,5] => [5,2,1,3,6,4] => [{3},{2},{4},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,1,5,2] => [2,5,1,3,6,4] => [{3},{1},{4},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,2,1,5] => [5,1,2,3,6,4] => [{2},{3},{4},{6},{1},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,2,5,1] => [1,5,2,3,6,4] => [{1},{3},{4},{6},{2},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,5,1,2] => [2,1,5,3,6,4] => [{2},{1},{4},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,3,5,2,1] => [1,2,5,3,6,4] => [{1},{2},{4},{6},{3},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,1,2,3] => [3,2,1,5,6,4] => [{3},{2},{1},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,1,3,2] => [2,3,1,5,6,4] => [{3},{1},{2},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,2,1,3] => [3,1,2,5,6,4] => [{2},{3},{1},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,2,3,1] => [1,3,2,5,6,4] => [{1},{3},{2},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,3,1,2] => [2,1,3,5,6,4] => [{2},{1},{3},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[4,6,5,3,2,1] => [1,2,3,5,6,4] => [{1},{2},{3},{6},{4},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,3,4,6] => [6,4,3,2,1,5] => [{5},{4},{3},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,3,6,4] => [4,6,3,2,1,5] => [{5},{4},{3},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,4,3,6] => [6,3,4,2,1,5] => [{5},{4},{2},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,4,6,3] => [3,6,4,2,1,5] => [{5},{4},{1},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,6,3,4] => [4,3,6,2,1,5] => [{5},{4},{2},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,2,6,4,3] => [3,4,6,2,1,5] => [{5},{4},{1},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,2,4,6] => [6,4,2,3,1,5] => [{5},{3},{4},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,2,6,4] => [4,6,2,3,1,5] => [{5},{3},{4},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,4,2,6] => [6,2,4,3,1,5] => [{5},{2},{4},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,4,6,2] => [2,6,4,3,1,5] => [{5},{1},{4},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,6,2,4] => [4,2,6,3,1,5] => [{5},{2},{4},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,3,6,4,2] => [2,4,6,3,1,5] => [{5},{1},{4},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,2,3,6] => [6,3,2,4,1,5] => [{5},{3},{2},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,2,6,3] => [3,6,2,4,1,5] => [{5},{3},{1},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,3,2,6] => [6,2,3,4,1,5] => [{5},{2},{3},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,3,6,2] => [2,6,3,4,1,5] => [{5},{1},{3},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,6,2,3] => [3,2,6,4,1,5] => [{5},{2},{1},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,4,6,3,2] => [2,3,6,4,1,5] => [{5},{1},{2},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,2,3,4] => [4,3,2,6,1,5] => [{5},{3},{2},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,2,4,3] => [3,4,2,6,1,5] => [{5},{3},{1},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,3,2,4] => [4,2,3,6,1,5] => [{5},{2},{3},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,3,4,2] => [2,4,3,6,1,5] => [{5},{1},{3},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,4,2,3] => [3,2,4,6,1,5] => [{5},{2},{1},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,1,6,4,3,2] => [2,3,4,6,1,5] => [{5},{1},{2},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,3,4,6] => [6,4,3,1,2,5] => [{4},{5},{3},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,3,6,4] => [4,6,3,1,2,5] => [{4},{5},{3},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,4,3,6] => [6,3,4,1,2,5] => [{4},{5},{2},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,4,6,3] => [3,6,4,1,2,5] => [{4},{5},{1},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,6,3,4] => [4,3,6,1,2,5] => [{4},{5},{2},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,1,6,4,3] => [3,4,6,1,2,5] => [{4},{5},{1},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,1,4,6] => [6,4,1,3,2,5] => [{3},{5},{4},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,1,6,4] => [4,6,1,3,2,5] => [{3},{5},{4},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,4,1,6] => [6,1,4,3,2,5] => [{2},{5},{4},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,4,6,1] => [1,6,4,3,2,5] => [{1},{5},{4},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,6,1,4] => [4,1,6,3,2,5] => [{2},{5},{4},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,3,6,4,1] => [1,4,6,3,2,5] => [{1},{5},{4},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,1,3,6] => [6,3,1,4,2,5] => [{3},{5},{2},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,1,6,3] => [3,6,1,4,2,5] => [{3},{5},{1},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,3,1,6] => [6,1,3,4,2,5] => [{2},{5},{3},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,3,6,1] => [1,6,3,4,2,5] => [{1},{5},{3},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,6,1,3] => [3,1,6,4,2,5] => [{2},{5},{1},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,4,6,3,1] => [1,3,6,4,2,5] => [{1},{5},{2},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,1,3,4] => [4,3,1,6,2,5] => [{3},{5},{2},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,1,4,3] => [3,4,1,6,2,5] => [{3},{5},{1},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,3,1,4] => [4,1,3,6,2,5] => [{2},{5},{3},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,3,4,1] => [1,4,3,6,2,5] => [{1},{5},{3},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,4,1,3] => [3,1,4,6,2,5] => [{2},{5},{1},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,2,6,4,3,1] => [1,3,4,6,2,5] => [{1},{5},{2},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,2,4,6] => [6,4,2,1,3,5] => [{4},{3},{5},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,2,6,4] => [4,6,2,1,3,5] => [{4},{3},{5},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,4,2,6] => [6,2,4,1,3,5] => [{4},{2},{5},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,4,6,2] => [2,6,4,1,3,5] => [{4},{1},{5},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,6,2,4] => [4,2,6,1,3,5] => [{4},{2},{5},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,1,6,4,2] => [2,4,6,1,3,5] => [{4},{1},{5},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,1,4,6] => [6,4,1,2,3,5] => [{3},{4},{5},{2},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,1,6,4] => [4,6,1,2,3,5] => [{3},{4},{5},{1},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,4,1,6] => [6,1,4,2,3,5] => [{2},{4},{5},{3},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,4,6,1] => [1,6,4,2,3,5] => [{1},{4},{5},{3},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,6,1,4] => [4,1,6,2,3,5] => [{2},{4},{5},{1},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,2,6,4,1] => [1,4,6,2,3,5] => [{1},{4},{5},{2},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,1,2,6] => [6,2,1,4,3,5] => [{3},{2},{5},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,1,6,2] => [2,6,1,4,3,5] => [{3},{1},{5},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,2,1,6] => [6,1,2,4,3,5] => [{2},{3},{5},{4},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,2,6,1] => [1,6,2,4,3,5] => [{1},{3},{5},{4},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,6,1,2] => [2,1,6,4,3,5] => [{2},{1},{5},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,4,6,2,1] => [1,2,6,4,3,5] => [{1},{2},{5},{4},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,1,2,4] => [4,2,1,6,3,5] => [{3},{2},{5},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,1,4,2] => [2,4,1,6,3,5] => [{3},{1},{5},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,2,1,4] => [4,1,2,6,3,5] => [{2},{3},{5},{1},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,2,4,1] => [1,4,2,6,3,5] => [{1},{3},{5},{2},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,4,1,2] => [2,1,4,6,3,5] => [{2},{1},{5},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,3,6,4,2,1] => [1,2,4,6,3,5] => [{1},{2},{5},{3},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,2,3,6] => [6,3,2,1,4,5] => [{4},{3},{2},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,2,6,3] => [3,6,2,1,4,5] => [{4},{3},{1},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,3,2,6] => [6,2,3,1,4,5] => [{4},{2},{3},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,3,6,2] => [2,6,3,1,4,5] => [{4},{1},{3},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,6,2,3] => [3,2,6,1,4,5] => [{4},{2},{1},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,1,6,3,2] => [2,3,6,1,4,5] => [{4},{1},{2},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,1,3,6] => [6,3,1,2,4,5] => [{3},{4},{2},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,1,6,3] => [3,6,1,2,4,5] => [{3},{4},{1},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,3,1,6] => [6,1,3,2,4,5] => [{2},{4},{3},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,3,6,1] => [1,6,3,2,4,5] => [{1},{4},{3},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,6,1,3] => [3,1,6,2,4,5] => [{2},{4},{1},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,2,6,3,1] => [1,3,6,2,4,5] => [{1},{4},{2},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,1,2,6] => [6,2,1,3,4,5] => [{3},{2},{4},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,1,6,2] => [2,6,1,3,4,5] => [{3},{1},{4},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,2,1,6] => [6,1,2,3,4,5] => [{2},{3},{4},{5},{6},{1}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,2,6,1] => [1,6,2,3,4,5] => [{1},{3},{4},{5},{6},{2}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,6,1,2] => [2,1,6,3,4,5] => [{2},{1},{4},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,3,6,2,1] => [1,2,6,3,4,5] => [{1},{2},{4},{5},{6},{3}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,1,2,3] => [3,2,1,6,4,5] => [{3},{2},{1},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,1,3,2] => [2,3,1,6,4,5] => [{3},{1},{2},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,2,1,3] => [3,1,2,6,4,5] => [{2},{3},{1},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,2,3,1] => [1,3,2,6,4,5] => [{1},{3},{2},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,3,1,2] => [2,1,3,6,4,5] => [{2},{1},{3},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,4,6,3,2,1] => [1,2,3,6,4,5] => [{1},{2},{3},{5},{6},{4}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,2,3,4] => [4,3,2,1,6,5] => [{4},{3},{2},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,2,4,3] => [3,4,2,1,6,5] => [{4},{3},{1},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,3,2,4] => [4,2,3,1,6,5] => [{4},{2},{3},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,3,4,2] => [2,4,3,1,6,5] => [{4},{1},{3},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,4,2,3] => [3,2,4,1,6,5] => [{4},{2},{1},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,1,4,3,2] => [2,3,4,1,6,5] => [{4},{1},{2},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,1,3,4] => [4,3,1,2,6,5] => [{3},{4},{2},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,1,4,3] => [3,4,1,2,6,5] => [{3},{4},{1},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,3,1,4] => [4,1,3,2,6,5] => [{2},{4},{3},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,3,4,1] => [1,4,3,2,6,5] => [{1},{4},{3},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,4,1,3] => [3,1,4,2,6,5] => [{2},{4},{1},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,2,4,3,1] => [1,3,4,2,6,5] => [{1},{4},{2},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,1,2,4] => [4,2,1,3,6,5] => [{3},{2},{4},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,1,4,2] => [2,4,1,3,6,5] => [{3},{1},{4},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,2,1,4] => [4,1,2,3,6,5] => [{2},{3},{4},{1},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,2,4,1] => [1,4,2,3,6,5] => [{1},{3},{4},{2},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,4,1,2] => [2,1,4,3,6,5] => [{2},{1},{4},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,3,4,2,1] => [1,2,4,3,6,5] => [{1},{2},{4},{3},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,1,2,3] => [3,2,1,4,6,5] => [{3},{2},{1},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,1,3,2] => [2,3,1,4,6,5] => [{3},{1},{2},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,2,1,3] => [3,1,2,4,6,5] => [{2},{3},{1},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,2,3,1] => [1,3,2,4,6,5] => [{1},{3},{2},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,3,1,2] => [2,1,3,4,6,5] => [{2},{1},{3},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[5,6,4,3,2,1] => [1,2,3,4,6,5] => [{1},{2},{3},{4},{6},{5}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,3,4,5] => [5,4,3,2,1,6] => [{5},{4},{3},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,3,5,4] => [4,5,3,2,1,6] => [{5},{4},{3},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,4,3,5] => [5,3,4,2,1,6] => [{5},{4},{2},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,4,5,3] => [3,5,4,2,1,6] => [{5},{4},{1},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,5,3,4] => [4,3,5,2,1,6] => [{5},{4},{2},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,2,5,4,3] => [3,4,5,2,1,6] => [{5},{4},{1},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,2,4,5] => [5,4,2,3,1,6] => [{5},{3},{4},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,2,5,4] => [4,5,2,3,1,6] => [{5},{3},{4},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,4,2,5] => [5,2,4,3,1,6] => [{5},{2},{4},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,4,5,2] => [2,5,4,3,1,6] => [{5},{1},{4},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,5,2,4] => [4,2,5,3,1,6] => [{5},{2},{4},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,3,5,4,2] => [2,4,5,3,1,6] => [{5},{1},{4},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,2,3,5] => [5,3,2,4,1,6] => [{5},{3},{2},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,2,5,3] => [3,5,2,4,1,6] => [{5},{3},{1},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,3,2,5] => [5,2,3,4,1,6] => [{5},{2},{3},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,3,5,2] => [2,5,3,4,1,6] => [{5},{1},{3},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,5,2,3] => [3,2,5,4,1,6] => [{5},{2},{1},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,4,5,3,2] => [2,3,5,4,1,6] => [{5},{1},{2},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,2,3,4] => [4,3,2,5,1,6] => [{5},{3},{2},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,2,4,3] => [3,4,2,5,1,6] => [{5},{3},{1},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,3,2,4] => [4,2,3,5,1,6] => [{5},{2},{3},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,3,4,2] => [2,4,3,5,1,6] => [{5},{1},{3},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,4,2,3] => [3,2,4,5,1,6] => [{5},{2},{1},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,1,5,4,3,2] => [2,3,4,5,1,6] => [{5},{1},{2},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,3,4,5] => [5,4,3,1,2,6] => [{4},{5},{3},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,3,5,4] => [4,5,3,1,2,6] => [{4},{5},{3},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,4,3,5] => [5,3,4,1,2,6] => [{4},{5},{2},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,4,5,3] => [3,5,4,1,2,6] => [{4},{5},{1},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,5,3,4] => [4,3,5,1,2,6] => [{4},{5},{2},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,1,5,4,3] => [3,4,5,1,2,6] => [{4},{5},{1},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,1,4,5] => [5,4,1,3,2,6] => [{3},{5},{4},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,1,5,4] => [4,5,1,3,2,6] => [{3},{5},{4},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,4,1,5] => [5,1,4,3,2,6] => [{2},{5},{4},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,4,5,1] => [1,5,4,3,2,6] => [{1},{5},{4},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,5,1,4] => [4,1,5,3,2,6] => [{2},{5},{4},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,3,5,4,1] => [1,4,5,3,2,6] => [{1},{5},{4},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,1,3,5] => [5,3,1,4,2,6] => [{3},{5},{2},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,1,5,3] => [3,5,1,4,2,6] => [{3},{5},{1},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,3,1,5] => [5,1,3,4,2,6] => [{2},{5},{3},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,3,5,1] => [1,5,3,4,2,6] => [{1},{5},{3},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,5,1,3] => [3,1,5,4,2,6] => [{2},{5},{1},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,4,5,3,1] => [1,3,5,4,2,6] => [{1},{5},{2},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,1,3,4] => [4,3,1,5,2,6] => [{3},{5},{2},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,1,4,3] => [3,4,1,5,2,6] => [{3},{5},{1},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,3,1,4] => [4,1,3,5,2,6] => [{2},{5},{3},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,3,4,1] => [1,4,3,5,2,6] => [{1},{5},{3},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,4,1,3] => [3,1,4,5,2,6] => [{2},{5},{1},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,2,5,4,3,1] => [1,3,4,5,2,6] => [{1},{5},{2},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,2,4,5] => [5,4,2,1,3,6] => [{4},{3},{5},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,2,5,4] => [4,5,2,1,3,6] => [{4},{3},{5},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,4,2,5] => [5,2,4,1,3,6] => [{4},{2},{5},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,4,5,2] => [2,5,4,1,3,6] => [{4},{1},{5},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,5,2,4] => [4,2,5,1,3,6] => [{4},{2},{5},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,1,5,4,2] => [2,4,5,1,3,6] => [{4},{1},{5},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,1,4,5] => [5,4,1,2,3,6] => [{3},{4},{5},{2},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,1,5,4] => [4,5,1,2,3,6] => [{3},{4},{5},{1},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,4,1,5] => [5,1,4,2,3,6] => [{2},{4},{5},{3},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,4,5,1] => [1,5,4,2,3,6] => [{1},{4},{5},{3},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,5,1,4] => [4,1,5,2,3,6] => [{2},{4},{5},{1},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,2,5,4,1] => [1,4,5,2,3,6] => [{1},{4},{5},{2},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,1,2,5] => [5,2,1,4,3,6] => [{3},{2},{5},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,1,5,2] => [2,5,1,4,3,6] => [{3},{1},{5},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,2,1,5] => [5,1,2,4,3,6] => [{2},{3},{5},{4},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,2,5,1] => [1,5,2,4,3,6] => [{1},{3},{5},{4},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,5,1,2] => [2,1,5,4,3,6] => [{2},{1},{5},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,4,5,2,1] => [1,2,5,4,3,6] => [{1},{2},{5},{4},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,1,2,4] => [4,2,1,5,3,6] => [{3},{2},{5},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,1,4,2] => [2,4,1,5,3,6] => [{3},{1},{5},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,2,1,4] => [4,1,2,5,3,6] => [{2},{3},{5},{1},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,2,4,1] => [1,4,2,5,3,6] => [{1},{3},{5},{2},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,4,1,2] => [2,1,4,5,3,6] => [{2},{1},{5},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,3,5,4,2,1] => [1,2,4,5,3,6] => [{1},{2},{5},{3},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,2,3,5] => [5,3,2,1,4,6] => [{4},{3},{2},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,2,5,3] => [3,5,2,1,4,6] => [{4},{3},{1},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,3,2,5] => [5,2,3,1,4,6] => [{4},{2},{3},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,3,5,2] => [2,5,3,1,4,6] => [{4},{1},{3},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,5,2,3] => [3,2,5,1,4,6] => [{4},{2},{1},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,1,5,3,2] => [2,3,5,1,4,6] => [{4},{1},{2},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,1,3,5] => [5,3,1,2,4,6] => [{3},{4},{2},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,1,5,3] => [3,5,1,2,4,6] => [{3},{4},{1},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,3,1,5] => [5,1,3,2,4,6] => [{2},{4},{3},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,3,5,1] => [1,5,3,2,4,6] => [{1},{4},{3},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,5,1,3] => [3,1,5,2,4,6] => [{2},{4},{1},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,2,5,3,1] => [1,3,5,2,4,6] => [{1},{4},{2},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,1,2,5] => [5,2,1,3,4,6] => [{3},{2},{4},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,1,5,2] => [2,5,1,3,4,6] => [{3},{1},{4},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,2,1,5] => [5,1,2,3,4,6] => [{2},{3},{4},{5},{1},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,2,5,1] => [1,5,2,3,4,6] => [{1},{3},{4},{5},{2},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,5,1,2] => [2,1,5,3,4,6] => [{2},{1},{4},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,3,5,2,1] => [1,2,5,3,4,6] => [{1},{2},{4},{5},{3},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,1,2,3] => [3,2,1,5,4,6] => [{3},{2},{1},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,1,3,2] => [2,3,1,5,4,6] => [{3},{1},{2},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,2,1,3] => [3,1,2,5,4,6] => [{2},{3},{1},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,2,3,1] => [1,3,2,5,4,6] => [{1},{3},{2},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,3,1,2] => [2,1,3,5,4,6] => [{2},{1},{3},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,4,5,3,2,1] => [1,2,3,5,4,6] => [{1},{2},{3},{5},{4},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,2,3,4] => [4,3,2,1,5,6] => [{4},{3},{2},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,2,4,3] => [3,4,2,1,5,6] => [{4},{3},{1},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,3,2,4] => [4,2,3,1,5,6] => [{4},{2},{3},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,3,4,2] => [2,4,3,1,5,6] => [{4},{1},{3},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,4,2,3] => [3,2,4,1,5,6] => [{4},{2},{1},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,1,4,3,2] => [2,3,4,1,5,6] => [{4},{1},{2},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,1,3,4] => [4,3,1,2,5,6] => [{3},{4},{2},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,1,4,3] => [3,4,1,2,5,6] => [{3},{4},{1},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,3,1,4] => [4,1,3,2,5,6] => [{2},{4},{3},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,3,4,1] => [1,4,3,2,5,6] => [{1},{4},{3},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,4,1,3] => [3,1,4,2,5,6] => [{2},{4},{1},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,2,4,3,1] => [1,3,4,2,5,6] => [{1},{4},{2},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,1,2,4] => [4,2,1,3,5,6] => [{3},{2},{4},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,1,4,2] => [2,4,1,3,5,6] => [{3},{1},{4},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,2,1,4] => [4,1,2,3,5,6] => [{2},{3},{4},{1},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,2,4,1] => [1,4,2,3,5,6] => [{1},{3},{4},{2},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,4,1,2] => [2,1,4,3,5,6] => [{2},{1},{4},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,3,4,2,1] => [1,2,4,3,5,6] => [{1},{2},{4},{3},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,4,1,2,3] => [3,2,1,4,5,6] => [{3},{2},{1},{4},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,4,1,3,2] => [2,3,1,4,5,6] => [{3},{1},{2},{4},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,4,2,1,3] => [3,1,2,4,5,6] => [{2},{3},{1},{4},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,4,2,3,1] => [1,3,2,4,5,6] => [{1},{3},{2},{4},{5},{6}] => {{1},{2},{3},{4},{5},{6}}
[6,5,4,3,1,2] => [2,1,3,4,5,6] => [{2},{1},{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}}
Map
reverse
Description
Return the reversal of a parking function.
Map
to ordered set partition
Description
Return the ordered set partition whose blocks are the labels of the runs of the labelled Dyck path.
Map
to set partition
Description
Return the underlying set partition