Identifier
-
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00240: Permutations —weak exceedance partition⟶ Set partitions
Mp00080: Set partitions —to permutation⟶ Permutations
St000664: Permutations ⟶ ℤ
Values
[1] => [1] => {{1}} => [1] => 0
[1,2] => [1,2] => {{1},{2}} => [1,2] => 0
[2,1] => [2,1] => {{1,2}} => [2,1] => 0
[1,2,3] => [1,3,2] => {{1},{2,3}} => [1,3,2] => 0
[1,3,2] => [1,3,2] => {{1},{2,3}} => [1,3,2] => 0
[2,1,3] => [2,1,3] => {{1,2},{3}} => [2,1,3] => 0
[2,3,1] => [2,3,1] => {{1,2,3}} => [2,3,1] => 0
[3,1,2] => [3,1,2] => {{1,3},{2}} => [3,2,1] => 0
[3,2,1] => [3,2,1] => {{1,3},{2}} => [3,2,1] => 0
[1,2,3,4] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[1,2,4,3] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[1,3,2,4] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[1,3,4,2] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[1,4,2,3] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[1,4,3,2] => [1,4,3,2] => {{1},{2,4},{3}} => [1,4,3,2] => 0
[2,1,3,4] => [2,1,4,3] => {{1,2},{3,4}} => [2,1,4,3] => 0
[2,1,4,3] => [2,1,4,3] => {{1,2},{3,4}} => [2,1,4,3] => 0
[2,3,1,4] => [2,4,1,3] => {{1,2,4},{3}} => [2,4,3,1] => 0
[2,3,4,1] => [2,4,3,1] => {{1,2,4},{3}} => [2,4,3,1] => 0
[2,4,1,3] => [2,4,1,3] => {{1,2,4},{3}} => [2,4,3,1] => 0
[2,4,3,1] => [2,4,3,1] => {{1,2,4},{3}} => [2,4,3,1] => 0
[3,1,2,4] => [3,1,4,2] => {{1,3,4},{2}} => [3,2,4,1] => 0
[3,1,4,2] => [3,1,4,2] => {{1,3,4},{2}} => [3,2,4,1] => 0
[3,2,1,4] => [3,2,1,4] => {{1,3},{2},{4}} => [3,2,1,4] => 0
[3,2,4,1] => [3,2,4,1] => {{1,3,4},{2}} => [3,2,4,1] => 0
[3,4,1,2] => [3,4,1,2] => {{1,3},{2,4}} => [3,4,1,2] => 0
[3,4,2,1] => [3,4,2,1] => {{1,3},{2,4}} => [3,4,1,2] => 0
[4,1,2,3] => [4,1,3,2] => {{1,4},{2},{3}} => [4,2,3,1] => 0
[4,1,3,2] => [4,1,3,2] => {{1,4},{2},{3}} => [4,2,3,1] => 0
[4,2,1,3] => [4,2,1,3] => {{1,4},{2},{3}} => [4,2,3,1] => 0
[4,2,3,1] => [4,2,3,1] => {{1,4},{2},{3}} => [4,2,3,1] => 0
[4,3,1,2] => [4,3,1,2] => {{1,4},{2,3}} => [4,3,2,1] => 0
[4,3,2,1] => [4,3,2,1] => {{1,4},{2,3}} => [4,3,2,1] => 0
[1,2,3,4,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,2,3,5,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,2,4,3,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,2,4,5,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,2,5,3,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,2,5,4,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,2,4,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,2,5,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,4,2,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,4,5,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,5,2,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,3,5,4,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,2,3,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,2,5,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,3,2,5] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,3,5,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,5,2,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,4,5,3,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,2,3,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,2,4,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,3,2,4] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,3,4,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,4,2,3] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[1,5,4,3,2] => [1,5,4,3,2] => {{1},{2,5},{3,4}} => [1,5,4,3,2] => 0
[2,1,3,4,5] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,1,3,5,4] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,1,4,3,5] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,1,4,5,3] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,1,5,3,4] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,1,5,4,3] => [2,1,5,4,3] => {{1,2},{3,5},{4}} => [2,1,5,4,3] => 0
[2,3,1,4,5] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,3,1,5,4] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,3,4,1,5] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,3,4,5,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,3,5,1,4] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,3,5,4,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,4,1,3,5] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,4,1,5,3] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,4,3,1,5] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,4,3,5,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,4,5,1,3] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,4,5,3,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,5,1,3,4] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,5,1,4,3] => [2,5,1,4,3] => {{1,2,5},{3},{4}} => [2,5,3,4,1] => 0
[2,5,3,1,4] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,5,3,4,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,5,4,1,3] => [2,5,4,1,3] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[2,5,4,3,1] => [2,5,4,3,1] => {{1,2,5},{3,4}} => [2,5,4,3,1] => 0
[3,1,2,4,5] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,1,2,5,4] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,1,4,2,5] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,1,4,5,2] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,1,5,2,4] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,1,5,4,2] => [3,1,5,4,2] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,2,1,4,5] => [3,2,1,5,4] => {{1,3},{2},{4,5}} => [3,2,1,5,4] => 0
[3,2,1,5,4] => [3,2,1,5,4] => {{1,3},{2},{4,5}} => [3,2,1,5,4] => 0
[3,2,4,1,5] => [3,2,5,1,4] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,2,4,5,1] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,2,5,1,4] => [3,2,5,1,4] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,2,5,4,1] => [3,2,5,4,1] => {{1,3,5},{2},{4}} => [3,2,5,4,1] => 0
[3,4,1,2,5] => [3,5,1,4,2] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,4,1,5,2] => [3,5,1,4,2] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,4,2,1,5] => [3,5,2,1,4] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,4,2,5,1] => [3,5,2,4,1] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,4,5,1,2] => [3,5,4,1,2] => {{1,3,4},{2,5}} => [3,5,4,1,2] => 0
[3,4,5,2,1] => [3,5,4,2,1] => {{1,3,4},{2,5}} => [3,5,4,1,2] => 0
[3,5,1,2,4] => [3,5,1,4,2] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,5,1,4,2] => [3,5,1,4,2] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
>>> Load all 873 entries. <<<[3,5,2,1,4] => [3,5,2,1,4] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,5,2,4,1] => [3,5,2,4,1] => {{1,3},{2,5},{4}} => [3,5,1,4,2] => 0
[3,5,4,1,2] => [3,5,4,1,2] => {{1,3,4},{2,5}} => [3,5,4,1,2] => 0
[3,5,4,2,1] => [3,5,4,2,1] => {{1,3,4},{2,5}} => [3,5,4,1,2] => 0
[4,1,2,3,5] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,1,2,5,3] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,1,3,2,5] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,1,3,5,2] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,1,5,2,3] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,1,5,3,2] => [4,1,5,3,2] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,2,1,3,5] => [4,2,1,5,3] => {{1,4,5},{2},{3}} => [4,2,3,5,1] => 1
[4,2,1,5,3] => [4,2,1,5,3] => {{1,4,5},{2},{3}} => [4,2,3,5,1] => 1
[4,2,3,1,5] => [4,2,5,1,3] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,2,3,5,1] => [4,2,5,3,1] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,2,5,1,3] => [4,2,5,1,3] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,2,5,3,1] => [4,2,5,3,1] => {{1,4},{2},{3,5}} => [4,2,5,1,3] => 0
[4,3,1,2,5] => [4,3,1,5,2] => {{1,4,5},{2,3}} => [4,3,2,5,1] => 0
[4,3,1,5,2] => [4,3,1,5,2] => {{1,4,5},{2,3}} => [4,3,2,5,1] => 0
[4,3,2,1,5] => [4,3,2,1,5] => {{1,4},{2,3},{5}} => [4,3,2,1,5] => 0
[4,3,2,5,1] => [4,3,2,5,1] => {{1,4,5},{2,3}} => [4,3,2,5,1] => 0
[4,3,5,1,2] => [4,3,5,1,2] => {{1,4},{2,3,5}} => [4,3,5,1,2] => 0
[4,3,5,2,1] => [4,3,5,2,1] => {{1,4},{2,3,5}} => [4,3,5,1,2] => 0
[4,5,1,2,3] => [4,5,1,3,2] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[4,5,1,3,2] => [4,5,1,3,2] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[4,5,2,1,3] => [4,5,2,1,3] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[4,5,2,3,1] => [4,5,2,3,1] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[4,5,3,1,2] => [4,5,3,1,2] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[4,5,3,2,1] => [4,5,3,2,1] => {{1,4},{2,5},{3}} => [4,5,3,1,2] => 0
[5,1,2,3,4] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,1,2,4,3] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,1,3,2,4] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,1,3,4,2] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,1,4,2,3] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,1,4,3,2] => [5,1,4,3,2] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,2,1,3,4] => [5,2,1,4,3] => {{1,5},{2},{3},{4}} => [5,2,3,4,1] => 0
[5,2,1,4,3] => [5,2,1,4,3] => {{1,5},{2},{3},{4}} => [5,2,3,4,1] => 0
[5,2,3,1,4] => [5,2,4,1,3] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,2,3,4,1] => [5,2,4,3,1] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,2,4,1,3] => [5,2,4,1,3] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,2,4,3,1] => [5,2,4,3,1] => {{1,5},{2},{3,4}} => [5,2,4,3,1] => 0
[5,3,1,2,4] => [5,3,1,4,2] => {{1,5},{2,3},{4}} => [5,3,2,4,1] => 0
[5,3,1,4,2] => [5,3,1,4,2] => {{1,5},{2,3},{4}} => [5,3,2,4,1] => 0
[5,3,2,1,4] => [5,3,2,1,4] => {{1,5},{2,3},{4}} => [5,3,2,4,1] => 0
[5,3,2,4,1] => [5,3,2,4,1] => {{1,5},{2,3},{4}} => [5,3,2,4,1] => 0
[5,3,4,1,2] => [5,3,4,1,2] => {{1,5},{2,3,4}} => [5,3,4,2,1] => 0
[5,3,4,2,1] => [5,3,4,2,1] => {{1,5},{2,3,4}} => [5,3,4,2,1] => 0
[5,4,1,2,3] => [5,4,1,3,2] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[5,4,1,3,2] => [5,4,1,3,2] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[5,4,2,1,3] => [5,4,2,1,3] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[5,4,2,3,1] => [5,4,2,3,1] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[5,4,3,1,2] => [5,4,3,1,2] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[5,4,3,2,1] => [5,4,3,2,1] => {{1,5},{2,4},{3}} => [5,4,3,2,1] => 0
[1,2,3,4,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,3,4,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,3,5,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,3,5,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,3,6,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,3,6,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,3,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,3,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,5,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,5,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,6,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,4,6,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,3,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,3,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,4,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,4,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,6,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,5,6,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,3,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,3,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,4,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,4,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,5,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,2,6,5,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,4,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,4,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,5,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,5,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,6,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,2,6,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,2,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,2,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,5,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,5,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,6,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,4,6,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,2,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,2,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,4,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,4,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,6,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,5,6,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,2,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,2,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,4,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,4,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,5,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,3,6,5,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,3,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,3,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,5,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,5,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,6,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,2,6,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,2,5,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,2,6,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,5,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,5,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,6,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,3,6,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,2,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,2,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,3,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,3,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,6,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,5,6,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,2,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,2,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,3,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,3,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,5,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,4,6,5,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,3,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,3,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,4,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,4,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,6,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,2,6,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,2,4,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,2,6,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,4,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,4,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,6,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,3,6,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,2,3,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,2,6,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,3,2,6] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,3,6,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,6,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,4,6,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,2,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,2,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,3,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,3,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,4,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,5,6,4,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,3,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,3,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,4,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,4,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,5,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,2,5,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,2,4,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,2,5,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,4,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,4,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,5,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,3,5,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,2,3,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,2,5,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,3,2,5] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,3,5,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,5,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,4,5,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,2,3,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,2,4,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,3,2,4] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,3,4,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,4,2,3] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[1,6,5,4,3,2] => [1,6,5,4,3,2] => {{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 0
[2,1,3,4,5,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,3,4,6,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,3,5,4,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,3,5,6,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,3,6,4,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,3,6,5,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,3,5,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,3,6,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,5,3,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,5,6,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,6,3,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,4,6,5,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,3,4,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,3,6,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,4,3,6] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,4,6,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,6,3,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,5,6,4,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,3,4,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,3,5,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,4,3,5] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,4,5,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,5,3,4] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,1,6,5,4,3] => [2,1,6,5,4,3] => {{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 0
[2,3,1,4,5,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,1,4,6,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,1,5,4,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,1,5,6,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,1,6,4,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,1,6,5,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,3,4,1,5,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,4,1,6,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,4,5,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,4,5,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,4,6,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,4,6,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,1,4,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,1,6,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,4,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,4,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,6,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,5,6,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,1,4,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,1,5,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,4,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,4,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,5,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,3,6,5,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,1,3,5,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,1,3,6,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,1,5,3,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,1,5,6,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,1,6,3,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,1,6,5,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,4,3,1,5,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,3,1,6,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,3,5,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,3,5,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,3,6,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,3,6,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,1,3,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,1,6,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,3,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,3,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,6,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,5,6,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,1,3,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,1,5,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,3,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,3,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,5,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,4,6,5,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,1,3,4,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,1,3,6,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,1,4,3,6] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,1,4,6,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,1,6,3,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,1,6,4,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,5,3,1,4,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,3,1,6,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,3,4,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,3,4,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,3,6,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,3,6,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,1,3,6] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,1,6,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,3,1,6] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,3,6,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,6,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,4,6,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,1,3,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,1,4,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,3,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,3,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,4,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,5,6,4,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,1,3,4,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,1,3,5,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,1,4,3,5] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,1,4,5,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,1,5,3,4] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,1,5,4,3] => [2,6,1,5,4,3] => {{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 0
[2,6,3,1,4,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,3,1,5,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,3,4,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,3,4,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,3,5,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,3,5,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,1,3,5] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,1,5,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,3,1,5] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,3,5,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,5,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,4,5,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,1,3,4] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,1,4,3] => [2,6,5,1,4,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,3,1,4] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,3,4,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,4,1,3] => [2,6,5,4,1,3] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[2,6,5,4,3,1] => [2,6,5,4,3,1] => {{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 0
[3,1,2,4,5,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,2,4,6,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,2,5,4,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,2,5,6,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,2,6,4,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,2,6,5,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,2,5,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,2,6,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,5,2,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,5,6,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,6,2,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,4,6,5,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,2,4,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,2,6,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,4,2,6] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,4,6,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,6,2,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,5,6,4,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,2,4,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,2,5,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,4,2,5] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,4,5,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,5,2,4] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,1,6,5,4,2] => [3,1,6,5,4,2] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,1,4,5,6] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,1,4,6,5] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,1,5,4,6] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,1,5,6,4] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,1,6,4,5] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,1,6,5,4] => [3,2,1,6,5,4] => {{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 0
[3,2,4,1,5,6] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,4,1,6,5] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,4,5,1,6] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,4,5,6,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,4,6,1,5] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,4,6,5,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,5,1,4,6] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,5,1,6,4] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,5,4,1,6] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,5,4,6,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,5,6,1,4] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,5,6,4,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,6,1,4,5] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,6,1,5,4] => [3,2,6,1,5,4] => {{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 0
[3,2,6,4,1,5] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,6,4,5,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,6,5,1,4] => [3,2,6,5,1,4] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,2,6,5,4,1] => [3,2,6,5,4,1] => {{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 0
[3,4,1,2,5,6] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,1,2,6,5] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,1,5,2,6] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,1,5,6,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,1,6,2,5] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,1,6,5,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,2,1,5,6] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,4,2,1,6,5] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,4,2,5,1,6] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,2,5,6,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,2,6,1,5] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,2,6,5,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,4,5,1,2,6] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,5,1,6,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,5,2,1,6] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,5,2,6,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,5,6,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,5,6,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,1,2,5] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,1,5,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,2,1,5] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,2,5,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,5,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,4,6,5,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,1,2,4,6] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,1,2,6,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,1,4,2,6] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,1,4,6,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,1,6,2,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,1,6,4,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,2,1,4,6] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,5,2,1,6,4] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,5,2,4,1,6] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,2,4,6,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,2,6,1,4] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,2,6,4,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,5,4,1,2,6] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,4,1,6,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,4,2,1,6] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,4,2,6,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,4,6,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,4,6,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,1,2,4] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,1,4,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,2,1,4] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,2,4,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,4,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,5,6,4,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,1,2,4,5] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,1,2,5,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,1,4,2,5] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,1,4,5,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,1,5,2,4] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,1,5,4,2] => [3,6,1,5,4,2] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,2,1,4,5] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,6,2,1,5,4] => [3,6,2,1,5,4] => {{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 0
[3,6,2,4,1,5] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,2,4,5,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,2,5,1,4] => [3,6,2,5,1,4] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,2,5,4,1] => [3,6,2,5,4,1] => {{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 0
[3,6,4,1,2,5] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,4,1,5,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,4,2,1,5] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,4,2,5,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,4,5,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,4,5,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,1,2,4] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,1,4,2] => [3,6,5,1,4,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,2,1,4] => [3,6,5,2,1,4] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,2,4,1] => [3,6,5,2,4,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,4,1,2] => [3,6,5,4,1,2] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[3,6,5,4,2,1] => [3,6,5,4,2,1] => {{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 0
[4,1,2,3,5,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,2,3,6,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,2,5,3,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,2,5,6,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,2,6,3,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,2,6,5,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,2,5,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,2,6,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,5,2,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,5,6,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,6,2,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,3,6,5,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,2,3,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,2,6,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,3,2,6] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,3,6,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,6,2,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,5,6,3,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,2,3,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,2,5,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,3,2,5] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,3,5,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,5,2,3] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,1,6,5,3,2] => [4,1,6,5,3,2] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,1,3,5,6] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,1,3,6,5] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,1,5,3,6] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,1,5,6,3] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,1,6,3,5] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,1,6,5,3] => [4,2,1,6,5,3] => {{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 1
[4,2,3,1,5,6] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,3,1,6,5] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,3,5,1,6] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,3,5,6,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,3,6,1,5] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,3,6,5,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,5,1,3,6] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,5,1,6,3] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,5,3,1,6] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,5,3,6,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,5,6,1,3] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,5,6,3,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,6,1,3,5] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,6,1,5,3] => [4,2,6,1,5,3] => {{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 0
[4,2,6,3,1,5] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,6,3,5,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,6,5,1,3] => [4,2,6,5,1,3] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,2,6,5,3,1] => [4,2,6,5,3,1] => {{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 0
[4,3,1,2,5,6] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,1,2,6,5] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,1,5,2,6] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,1,5,6,2] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,1,6,2,5] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,1,6,5,2] => [4,3,1,6,5,2] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,2,1,5,6] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => 0
[4,3,2,1,6,5] => [4,3,2,1,6,5] => {{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => 0
[4,3,2,5,1,6] => [4,3,2,6,1,5] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,2,5,6,1] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,2,6,1,5] => [4,3,2,6,1,5] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,2,6,5,1] => [4,3,2,6,5,1] => {{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 0
[4,3,5,1,2,6] => [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,5,1,6,2] => [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,5,2,1,6] => [4,3,6,2,1,5] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,5,2,6,1] => [4,3,6,2,5,1] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,5,6,1,2] => [4,3,6,5,1,2] => {{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 0
[4,3,5,6,2,1] => [4,3,6,5,2,1] => {{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 0
[4,3,6,1,2,5] => [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,6,1,5,2] => [4,3,6,1,5,2] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,6,2,1,5] => [4,3,6,2,1,5] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,6,2,5,1] => [4,3,6,2,5,1] => {{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 0
[4,3,6,5,1,2] => [4,3,6,5,1,2] => {{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 0
[4,3,6,5,2,1] => [4,3,6,5,2,1] => {{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 0
[4,5,1,2,3,6] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,1,2,6,3] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,1,3,2,6] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,1,3,6,2] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,1,6,2,3] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,1,6,3,2] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,2,1,3,6] => [4,6,2,1,5,3] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,2,1,6,3] => [4,6,2,1,5,3] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,2,3,1,6] => [4,6,2,5,1,3] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,2,3,6,1] => [4,6,2,5,3,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,2,6,1,3] => [4,6,2,5,1,3] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,2,6,3,1] => [4,6,2,5,3,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,3,1,2,6] => [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,3,1,6,2] => [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,3,2,1,6] => [4,6,3,2,1,5] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,3,2,6,1] => [4,6,3,2,5,1] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,5,3,6,1,2] => [4,6,3,5,1,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,3,6,2,1] => [4,6,3,5,2,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,5,6,1,2,3] => [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,5,6,1,3,2] => [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,5,6,2,1,3] => [4,6,5,2,1,3] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,5,6,2,3,1] => [4,6,5,2,3,1] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,5,6,3,1,2] => [4,6,5,3,1,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,5,6,3,2,1] => [4,6,5,3,2,1] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,1,2,3,5] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,1,2,5,3] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,1,3,2,5] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,1,3,5,2] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,1,5,2,3] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,1,5,3,2] => [4,6,1,5,3,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,2,1,3,5] => [4,6,2,1,5,3] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,2,1,5,3] => [4,6,2,1,5,3] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,2,3,1,5] => [4,6,2,5,1,3] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,2,3,5,1] => [4,6,2,5,3,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,2,5,1,3] => [4,6,2,5,1,3] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,2,5,3,1] => [4,6,2,5,3,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,3,1,2,5] => [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,3,1,5,2] => [4,6,3,1,5,2] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,3,2,1,5] => [4,6,3,2,1,5] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,3,2,5,1] => [4,6,3,2,5,1] => {{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 0
[4,6,3,5,1,2] => [4,6,3,5,1,2] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,3,5,2,1] => [4,6,3,5,2,1] => {{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 0
[4,6,5,1,2,3] => [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,5,1,3,2] => [4,6,5,1,3,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,5,2,1,3] => [4,6,5,2,1,3] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,5,2,3,1] => [4,6,5,2,3,1] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,5,3,1,2] => [4,6,5,3,1,2] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[4,6,5,3,2,1] => [4,6,5,3,2,1] => {{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 0
[5,1,2,3,4,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,2,3,6,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,2,4,3,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,2,4,6,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,2,6,3,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,2,6,4,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,2,4,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,2,6,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,4,2,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,4,6,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,6,2,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,3,6,4,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,2,3,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,2,6,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,3,2,6] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,3,6,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,6,2,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,4,6,3,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,2,3,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,2,4,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,3,2,4] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,3,4,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,4,2,3] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,1,6,4,3,2] => [5,1,6,4,3,2] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,1,3,4,6] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,1,3,6,4] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,1,4,3,6] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,1,4,6,3] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,1,6,3,4] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,1,6,4,3] => [5,2,1,6,4,3] => {{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 1
[5,2,3,1,4,6] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,3,1,6,4] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,3,4,1,6] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,3,4,6,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,3,6,1,4] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,3,6,4,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,1,3,6] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,1,6,3] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,3,1,6] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,3,6,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,6,1,3] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,4,6,3,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,1,3,4] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,1,4,3] => [5,2,6,1,4,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,3,1,4] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,3,4,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,4,1,3] => [5,2,6,4,1,3] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,2,6,4,3,1] => [5,2,6,4,3,1] => {{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 0
[5,3,1,2,4,6] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,1,2,6,4] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,1,4,2,6] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,1,4,6,2] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,1,6,2,4] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,1,6,4,2] => [5,3,1,6,4,2] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,2,1,4,6] => [5,3,2,1,6,4] => {{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => 0
[5,3,2,1,6,4] => [5,3,2,1,6,4] => {{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => 0
[5,3,2,4,1,6] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,2,4,6,1] => [5,3,2,6,4,1] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,2,6,1,4] => [5,3,2,6,1,4] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,2,6,4,1] => [5,3,2,6,4,1] => {{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 0
[5,3,4,1,2,6] => [5,3,6,1,4,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,4,1,6,2] => [5,3,6,1,4,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,4,2,1,6] => [5,3,6,2,1,4] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,4,2,6,1] => [5,3,6,2,4,1] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,4,6,1,2] => [5,3,6,4,1,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,4,6,2,1] => [5,3,6,4,2,1] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,1,2,4] => [5,3,6,1,4,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,1,4,2] => [5,3,6,1,4,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,2,1,4] => [5,3,6,2,1,4] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,2,4,1] => [5,3,6,2,4,1] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,4,1,2] => [5,3,6,4,1,2] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,3,6,4,2,1] => [5,3,6,4,2,1] => {{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 0
[5,4,1,2,3,6] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,1,2,6,3] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,1,3,2,6] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,1,3,6,2] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,1,6,2,3] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,1,6,3,2] => [5,4,1,6,3,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,2,1,3,6] => [5,4,2,1,6,3] => {{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 0
[5,4,2,1,6,3] => [5,4,2,1,6,3] => {{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 0
[5,4,2,3,1,6] => [5,4,2,6,1,3] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,2,3,6,1] => [5,4,2,6,3,1] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,2,6,1,3] => [5,4,2,6,1,3] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,2,6,3,1] => [5,4,2,6,3,1] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,3,1,2,6] => [5,4,3,1,6,2] => {{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 0
[5,4,3,1,6,2] => [5,4,3,1,6,2] => {{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 0
[5,4,3,2,1,6] => [5,4,3,2,1,6] => {{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => 0
[5,4,3,2,6,1] => [5,4,3,2,6,1] => {{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 0
[5,4,3,6,1,2] => [5,4,3,6,1,2] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,3,6,2,1] => [5,4,3,6,2,1] => {{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 0
[5,4,6,1,2,3] => [5,4,6,1,3,2] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,4,6,1,3,2] => [5,4,6,1,3,2] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,4,6,2,1,3] => [5,4,6,2,1,3] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,4,6,2,3,1] => [5,4,6,2,3,1] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,4,6,3,1,2] => [5,4,6,3,1,2] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,4,6,3,2,1] => [5,4,6,3,2,1] => {{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 0
[5,6,1,2,3,4] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,1,2,4,3] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,1,3,2,4] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,1,3,4,2] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,1,4,2,3] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,1,4,3,2] => [5,6,1,4,3,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,1,3,4] => [5,6,2,1,4,3] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,1,4,3] => [5,6,2,1,4,3] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,3,1,4] => [5,6,2,4,1,3] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,3,4,1] => [5,6,2,4,3,1] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,4,1,3] => [5,6,2,4,1,3] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,2,4,3,1] => [5,6,2,4,3,1] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,1,2,4] => [5,6,3,1,4,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,1,4,2] => [5,6,3,1,4,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,2,1,4] => [5,6,3,2,1,4] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,2,4,1] => [5,6,3,2,4,1] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,4,1,2] => [5,6,3,4,1,2] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,3,4,2,1] => [5,6,3,4,2,1] => {{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 0
[5,6,4,1,2,3] => [5,6,4,1,3,2] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[5,6,4,1,3,2] => [5,6,4,1,3,2] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[5,6,4,2,1,3] => [5,6,4,2,1,3] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[5,6,4,2,3,1] => [5,6,4,2,3,1] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[5,6,4,3,1,2] => [5,6,4,3,1,2] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[5,6,4,3,2,1] => [5,6,4,3,2,1] => {{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 0
[6,1,2,3,4,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,2,3,5,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,2,4,3,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,2,4,5,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,2,5,3,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,2,5,4,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,2,4,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,2,5,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,4,2,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,4,5,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,5,2,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,3,5,4,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,2,3,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,2,5,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,3,2,5] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,3,5,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,5,2,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,4,5,3,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,2,3,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,2,4,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,3,2,4] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,3,4,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,4,2,3] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,1,5,4,3,2] => [6,1,5,4,3,2] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,1,3,4,5] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,1,3,5,4] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,1,4,3,5] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,1,4,5,3] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,1,5,3,4] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,1,5,4,3] => [6,2,1,5,4,3] => {{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 1
[6,2,3,1,4,5] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,3,1,5,4] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,3,4,1,5] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,3,4,5,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,3,5,1,4] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,3,5,4,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,1,3,5] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,1,5,3] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,3,1,5] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,3,5,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,5,1,3] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,4,5,3,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,1,3,4] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,1,4,3] => [6,2,5,1,4,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,3,1,4] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,3,4,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,4,1,3] => [6,2,5,4,1,3] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,2,5,4,3,1] => [6,2,5,4,3,1] => {{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 0
[6,3,1,2,4,5] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,1,2,5,4] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,1,4,2,5] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,1,4,5,2] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,1,5,2,4] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,1,5,4,2] => [6,3,1,5,4,2] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,2,1,4,5] => [6,3,2,1,5,4] => {{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => 0
[6,3,2,1,5,4] => [6,3,2,1,5,4] => {{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => 0
[6,3,2,4,1,5] => [6,3,2,5,1,4] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,2,4,5,1] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,2,5,1,4] => [6,3,2,5,1,4] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,2,5,4,1] => [6,3,2,5,4,1] => {{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 0
[6,3,4,1,2,5] => [6,3,5,1,4,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,4,1,5,2] => [6,3,5,1,4,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,4,2,1,5] => [6,3,5,2,1,4] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,4,2,5,1] => [6,3,5,2,4,1] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,4,5,1,2] => [6,3,5,4,1,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,4,5,2,1] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,1,2,4] => [6,3,5,1,4,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,1,4,2] => [6,3,5,1,4,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,2,1,4] => [6,3,5,2,1,4] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,2,4,1] => [6,3,5,2,4,1] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,4,1,2] => [6,3,5,4,1,2] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,3,5,4,2,1] => [6,3,5,4,2,1] => {{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 0
[6,4,1,2,3,5] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,1,2,5,3] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,1,3,2,5] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,1,3,5,2] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,1,5,2,3] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,1,5,3,2] => [6,4,1,5,3,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,2,1,3,5] => [6,4,2,1,5,3] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,2,1,5,3] => [6,4,2,1,5,3] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,2,3,1,5] => [6,4,2,5,1,3] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,2,3,5,1] => [6,4,2,5,3,1] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,2,5,1,3] => [6,4,2,5,1,3] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,2,5,3,1] => [6,4,2,5,3,1] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,3,1,2,5] => [6,4,3,1,5,2] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,3,1,5,2] => [6,4,3,1,5,2] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,3,2,1,5] => [6,4,3,2,1,5] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,3,2,5,1] => [6,4,3,2,5,1] => {{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 0
[6,4,3,5,1,2] => [6,4,3,5,1,2] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,3,5,2,1] => [6,4,3,5,2,1] => {{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 0
[6,4,5,1,2,3] => [6,4,5,1,3,2] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,4,5,1,3,2] => [6,4,5,1,3,2] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,4,5,2,1,3] => [6,4,5,2,1,3] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,4,5,2,3,1] => [6,4,5,2,3,1] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,4,5,3,1,2] => [6,4,5,3,1,2] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,4,5,3,2,1] => [6,4,5,3,2,1] => {{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 0
[6,5,1,2,3,4] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,1,2,4,3] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,1,3,2,4] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,1,3,4,2] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,1,4,2,3] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,1,4,3,2] => [6,5,1,4,3,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,1,3,4] => [6,5,2,1,4,3] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,1,4,3] => [6,5,2,1,4,3] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,3,1,4] => [6,5,2,4,1,3] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,3,4,1] => [6,5,2,4,3,1] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,4,1,3] => [6,5,2,4,1,3] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,2,4,3,1] => [6,5,2,4,3,1] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,1,2,4] => [6,5,3,1,4,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,1,4,2] => [6,5,3,1,4,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,2,1,4] => [6,5,3,2,1,4] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,2,4,1] => [6,5,3,2,4,1] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,4,1,2] => [6,5,3,4,1,2] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,3,4,2,1] => [6,5,3,4,2,1] => {{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 0
[6,5,4,1,2,3] => [6,5,4,1,3,2] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
[6,5,4,1,3,2] => [6,5,4,1,3,2] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
[6,5,4,2,1,3] => [6,5,4,2,1,3] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
[6,5,4,2,3,1] => [6,5,4,2,3,1] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
[6,5,4,3,1,2] => [6,5,4,3,1,2] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
[6,5,4,3,2,1] => [6,5,4,3,2,1] => {{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 0
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
118,2 702,18
F1=1
F2=2
F3=6
F4=24
F5=118+2 q
F6=702+18 q
Description
The number of right ropes of a permutation.
Let π be a permutation of length n. A raft of π is a non-empty maximal sequence of consecutive small ascents, St000441The number of successions of a permutation., and a right rope is a large ascent after a raft of π.
See Definition 3.10 and Example 3.11 in [1].
Let π be a permutation of length n. A raft of π is a non-empty maximal sequence of consecutive small ascents, St000441The number of successions of a permutation., and a right rope is a large ascent after a raft of π.
See Definition 3.10 and Example 3.11 in [1].
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a 123-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between 132-avoiding permutations and 123-avoiding permutations, see [1, Proposition 19].
Map
weak exceedance partition
Description
The set partition induced by the weak exceedances of a permutation.
This is the coarsest set partition that contains all arcs (i,π(i)) with i≤π(i).
This is the coarsest set partition that contains all arcs (i,π(i)) with i≤π(i).
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