Identifier
Mp00305:
Permutations
—parking function⟶
Parking functions
Mp00302: Parking functions —insertion tableau⟶ Semistandard tableaux
Mp00302: Parking functions —insertion tableau⟶ Semistandard tableaux
Images
[1] => [1] => [[1]]
[1,2] => [1,2] => [[1,2]]
[2,1] => [2,1] => [[1],[2]]
[1,2,3] => [1,2,3] => [[1,2,3]]
[1,3,2] => [1,3,2] => [[1,2],[3]]
[2,1,3] => [2,1,3] => [[1,3],[2]]
[2,3,1] => [2,3,1] => [[1,3],[2]]
[3,1,2] => [3,1,2] => [[1,2],[3]]
[3,2,1] => [3,2,1] => [[1],[2],[3]]
[1,2,3,4] => [1,2,3,4] => [[1,2,3,4]]
[1,2,4,3] => [1,2,4,3] => [[1,2,3],[4]]
[1,3,2,4] => [1,3,2,4] => [[1,2,4],[3]]
[1,3,4,2] => [1,3,4,2] => [[1,2,4],[3]]
[1,4,2,3] => [1,4,2,3] => [[1,2,3],[4]]
[1,4,3,2] => [1,4,3,2] => [[1,2],[3],[4]]
[2,1,3,4] => [2,1,3,4] => [[1,3,4],[2]]
[2,1,4,3] => [2,1,4,3] => [[1,3],[2,4]]
[2,3,1,4] => [2,3,1,4] => [[1,3,4],[2]]
[2,3,4,1] => [2,3,4,1] => [[1,3,4],[2]]
[2,4,1,3] => [2,4,1,3] => [[1,3],[2,4]]
[2,4,3,1] => [2,4,3,1] => [[1,3],[2],[4]]
[3,1,2,4] => [3,1,2,4] => [[1,2,4],[3]]
[3,1,4,2] => [3,1,4,2] => [[1,2],[3,4]]
[3,2,1,4] => [3,2,1,4] => [[1,4],[2],[3]]
[3,2,4,1] => [3,2,4,1] => [[1,4],[2],[3]]
[3,4,1,2] => [3,4,1,2] => [[1,2],[3,4]]
[3,4,2,1] => [3,4,2,1] => [[1,4],[2],[3]]
[4,1,2,3] => [4,1,2,3] => [[1,2,3],[4]]
[4,1,3,2] => [4,1,3,2] => [[1,2],[3],[4]]
[4,2,1,3] => [4,2,1,3] => [[1,3],[2],[4]]
[4,2,3,1] => [4,2,3,1] => [[1,3],[2],[4]]
[4,3,1,2] => [4,3,1,2] => [[1,2],[3],[4]]
[4,3,2,1] => [4,3,2,1] => [[1],[2],[3],[4]]
[1,2,3,4,5] => [1,2,3,4,5] => [[1,2,3,4,5]]
[1,2,3,5,4] => [1,2,3,5,4] => [[1,2,3,4],[5]]
[1,2,4,3,5] => [1,2,4,3,5] => [[1,2,3,5],[4]]
[1,2,4,5,3] => [1,2,4,5,3] => [[1,2,3,5],[4]]
[1,2,5,3,4] => [1,2,5,3,4] => [[1,2,3,4],[5]]
[1,2,5,4,3] => [1,2,5,4,3] => [[1,2,3],[4],[5]]
[1,3,2,4,5] => [1,3,2,4,5] => [[1,2,4,5],[3]]
[1,3,2,5,4] => [1,3,2,5,4] => [[1,2,4],[3,5]]
[1,3,4,2,5] => [1,3,4,2,5] => [[1,2,4,5],[3]]
[1,3,4,5,2] => [1,3,4,5,2] => [[1,2,4,5],[3]]
[1,3,5,2,4] => [1,3,5,2,4] => [[1,2,4],[3,5]]
[1,3,5,4,2] => [1,3,5,4,2] => [[1,2,4],[3],[5]]
[1,4,2,3,5] => [1,4,2,3,5] => [[1,2,3,5],[4]]
[1,4,2,5,3] => [1,4,2,5,3] => [[1,2,3],[4,5]]
[1,4,3,2,5] => [1,4,3,2,5] => [[1,2,5],[3],[4]]
[1,4,3,5,2] => [1,4,3,5,2] => [[1,2,5],[3],[4]]
[1,4,5,2,3] => [1,4,5,2,3] => [[1,2,3],[4,5]]
[1,4,5,3,2] => [1,4,5,3,2] => [[1,2,5],[3],[4]]
[1,5,2,3,4] => [1,5,2,3,4] => [[1,2,3,4],[5]]
[1,5,2,4,3] => [1,5,2,4,3] => [[1,2,3],[4],[5]]
[1,5,3,2,4] => [1,5,3,2,4] => [[1,2,4],[3],[5]]
[1,5,3,4,2] => [1,5,3,4,2] => [[1,2,4],[3],[5]]
[1,5,4,2,3] => [1,5,4,2,3] => [[1,2,3],[4],[5]]
[1,5,4,3,2] => [1,5,4,3,2] => [[1,2],[3],[4],[5]]
[2,1,3,4,5] => [2,1,3,4,5] => [[1,3,4,5],[2]]
[2,1,3,5,4] => [2,1,3,5,4] => [[1,3,4],[2,5]]
[2,1,4,3,5] => [2,1,4,3,5] => [[1,3,5],[2,4]]
[2,1,4,5,3] => [2,1,4,5,3] => [[1,3,5],[2,4]]
[2,1,5,3,4] => [2,1,5,3,4] => [[1,3,4],[2,5]]
[2,1,5,4,3] => [2,1,5,4,3] => [[1,3],[2,4],[5]]
[2,3,1,4,5] => [2,3,1,4,5] => [[1,3,4,5],[2]]
[2,3,1,5,4] => [2,3,1,5,4] => [[1,3,4],[2,5]]
[2,3,4,1,5] => [2,3,4,1,5] => [[1,3,4,5],[2]]
[2,3,4,5,1] => [2,3,4,5,1] => [[1,3,4,5],[2]]
[2,3,5,1,4] => [2,3,5,1,4] => [[1,3,4],[2,5]]
[2,3,5,4,1] => [2,3,5,4,1] => [[1,3,4],[2],[5]]
[2,4,1,3,5] => [2,4,1,3,5] => [[1,3,5],[2,4]]
[2,4,1,5,3] => [2,4,1,5,3] => [[1,3,5],[2,4]]
[2,4,3,1,5] => [2,4,3,1,5] => [[1,3,5],[2],[4]]
[2,4,3,5,1] => [2,4,3,5,1] => [[1,3,5],[2],[4]]
[2,4,5,1,3] => [2,4,5,1,3] => [[1,3,5],[2,4]]
[2,4,5,3,1] => [2,4,5,3,1] => [[1,3,5],[2],[4]]
[2,5,1,3,4] => [2,5,1,3,4] => [[1,3,4],[2,5]]
[2,5,1,4,3] => [2,5,1,4,3] => [[1,3],[2,4],[5]]
[2,5,3,1,4] => [2,5,3,1,4] => [[1,3,4],[2],[5]]
[2,5,3,4,1] => [2,5,3,4,1] => [[1,3,4],[2],[5]]
[2,5,4,1,3] => [2,5,4,1,3] => [[1,3],[2,4],[5]]
[2,5,4,3,1] => [2,5,4,3,1] => [[1,3],[2],[4],[5]]
[3,1,2,4,5] => [3,1,2,4,5] => [[1,2,4,5],[3]]
[3,1,2,5,4] => [3,1,2,5,4] => [[1,2,4],[3,5]]
[3,1,4,2,5] => [3,1,4,2,5] => [[1,2,5],[3,4]]
[3,1,4,5,2] => [3,1,4,5,2] => [[1,2,5],[3,4]]
[3,1,5,2,4] => [3,1,5,2,4] => [[1,2,4],[3,5]]
[3,1,5,4,2] => [3,1,5,4,2] => [[1,2],[3,4],[5]]
[3,2,1,4,5] => [3,2,1,4,5] => [[1,4,5],[2],[3]]
[3,2,1,5,4] => [3,2,1,5,4] => [[1,4],[2,5],[3]]
[3,2,4,1,5] => [3,2,4,1,5] => [[1,4,5],[2],[3]]
[3,2,4,5,1] => [3,2,4,5,1] => [[1,4,5],[2],[3]]
[3,2,5,1,4] => [3,2,5,1,4] => [[1,4],[2,5],[3]]
[3,2,5,4,1] => [3,2,5,4,1] => [[1,4],[2,5],[3]]
[3,4,1,2,5] => [3,4,1,2,5] => [[1,2,5],[3,4]]
[3,4,1,5,2] => [3,4,1,5,2] => [[1,2,5],[3,4]]
[3,4,2,1,5] => [3,4,2,1,5] => [[1,4,5],[2],[3]]
[3,4,2,5,1] => [3,4,2,5,1] => [[1,4,5],[2],[3]]
[3,4,5,1,2] => [3,4,5,1,2] => [[1,2,5],[3,4]]
[3,4,5,2,1] => [3,4,5,2,1] => [[1,4,5],[2],[3]]
[3,5,1,2,4] => [3,5,1,2,4] => [[1,2,4],[3,5]]
[3,5,1,4,2] => [3,5,1,4,2] => [[1,2],[3,4],[5]]
>>> Load all 873 entries. <<<
[3,5,2,1,4] => [3,5,2,1,4] => [[1,4],[2,5],[3]]
[3,5,2,4,1] => [3,5,2,4,1] => [[1,4],[2,5],[3]]
[3,5,4,1,2] => [3,5,4,1,2] => [[1,2],[3,4],[5]]
[3,5,4,2,1] => [3,5,4,2,1] => [[1,4],[2],[3],[5]]
[4,1,2,3,5] => [4,1,2,3,5] => [[1,2,3,5],[4]]
[4,1,2,5,3] => [4,1,2,5,3] => [[1,2,3],[4,5]]
[4,1,3,2,5] => [4,1,3,2,5] => [[1,2,5],[3],[4]]
[4,1,3,5,2] => [4,1,3,5,2] => [[1,2,5],[3],[4]]
[4,1,5,2,3] => [4,1,5,2,3] => [[1,2,3],[4,5]]
[4,1,5,3,2] => [4,1,5,3,2] => [[1,2],[3,5],[4]]
[4,2,1,3,5] => [4,2,1,3,5] => [[1,3,5],[2],[4]]
[4,2,1,5,3] => [4,2,1,5,3] => [[1,3],[2,5],[4]]
[4,2,3,1,5] => [4,2,3,1,5] => [[1,3,5],[2],[4]]
[4,2,3,5,1] => [4,2,3,5,1] => [[1,3,5],[2],[4]]
[4,2,5,1,3] => [4,2,5,1,3] => [[1,3],[2,5],[4]]
[4,2,5,3,1] => [4,2,5,3,1] => [[1,3],[2,5],[4]]
[4,3,1,2,5] => [4,3,1,2,5] => [[1,2,5],[3],[4]]
[4,3,1,5,2] => [4,3,1,5,2] => [[1,2],[3,5],[4]]
[4,3,2,1,5] => [4,3,2,1,5] => [[1,5],[2],[3],[4]]
[4,3,2,5,1] => [4,3,2,5,1] => [[1,5],[2],[3],[4]]
[4,3,5,1,2] => [4,3,5,1,2] => [[1,2],[3,5],[4]]
[4,3,5,2,1] => [4,3,5,2,1] => [[1,5],[2],[3],[4]]
[4,5,1,2,3] => [4,5,1,2,3] => [[1,2,3],[4,5]]
[4,5,1,3,2] => [4,5,1,3,2] => [[1,2],[3,5],[4]]
[4,5,2,1,3] => [4,5,2,1,3] => [[1,3],[2,5],[4]]
[4,5,2,3,1] => [4,5,2,3,1] => [[1,3],[2,5],[4]]
[4,5,3,1,2] => [4,5,3,1,2] => [[1,2],[3,5],[4]]
[4,5,3,2,1] => [4,5,3,2,1] => [[1,5],[2],[3],[4]]
[5,1,2,3,4] => [5,1,2,3,4] => [[1,2,3,4],[5]]
[5,1,2,4,3] => [5,1,2,4,3] => [[1,2,3],[4],[5]]
[5,1,3,2,4] => [5,1,3,2,4] => [[1,2,4],[3],[5]]
[5,1,3,4,2] => [5,1,3,4,2] => [[1,2,4],[3],[5]]
[5,1,4,2,3] => [5,1,4,2,3] => [[1,2,3],[4],[5]]
[5,1,4,3,2] => [5,1,4,3,2] => [[1,2],[3],[4],[5]]
[5,2,1,3,4] => [5,2,1,3,4] => [[1,3,4],[2],[5]]
[5,2,1,4,3] => [5,2,1,4,3] => [[1,3],[2,4],[5]]
[5,2,3,1,4] => [5,2,3,1,4] => [[1,3,4],[2],[5]]
[5,2,3,4,1] => [5,2,3,4,1] => [[1,3,4],[2],[5]]
[5,2,4,1,3] => [5,2,4,1,3] => [[1,3],[2,4],[5]]
[5,2,4,3,1] => [5,2,4,3,1] => [[1,3],[2],[4],[5]]
[5,3,1,2,4] => [5,3,1,2,4] => [[1,2,4],[3],[5]]
[5,3,1,4,2] => [5,3,1,4,2] => [[1,2],[3,4],[5]]
[5,3,2,1,4] => [5,3,2,1,4] => [[1,4],[2],[3],[5]]
[5,3,2,4,1] => [5,3,2,4,1] => [[1,4],[2],[3],[5]]
[5,3,4,1,2] => [5,3,4,1,2] => [[1,2],[3,4],[5]]
[5,3,4,2,1] => [5,3,4,2,1] => [[1,4],[2],[3],[5]]
[5,4,1,2,3] => [5,4,1,2,3] => [[1,2,3],[4],[5]]
[5,4,1,3,2] => [5,4,1,3,2] => [[1,2],[3],[4],[5]]
[5,4,2,1,3] => [5,4,2,1,3] => [[1,3],[2],[4],[5]]
[5,4,2,3,1] => [5,4,2,3,1] => [[1,3],[2],[4],[5]]
[5,4,3,1,2] => [5,4,3,1,2] => [[1,2],[3],[4],[5]]
[5,4,3,2,1] => [5,4,3,2,1] => [[1],[2],[3],[4],[5]]
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [[1,2,3,4,5,6]]
[1,2,3,4,6,5] => [1,2,3,4,6,5] => [[1,2,3,4,5],[6]]
[1,2,3,5,4,6] => [1,2,3,5,4,6] => [[1,2,3,4,6],[5]]
[1,2,3,5,6,4] => [1,2,3,5,6,4] => [[1,2,3,4,6],[5]]
[1,2,3,6,4,5] => [1,2,3,6,4,5] => [[1,2,3,4,5],[6]]
[1,2,3,6,5,4] => [1,2,3,6,5,4] => [[1,2,3,4],[5],[6]]
[1,2,4,3,5,6] => [1,2,4,3,5,6] => [[1,2,3,5,6],[4]]
[1,2,4,3,6,5] => [1,2,4,3,6,5] => [[1,2,3,5],[4,6]]
[1,2,4,5,3,6] => [1,2,4,5,3,6] => [[1,2,3,5,6],[4]]
[1,2,4,5,6,3] => [1,2,4,5,6,3] => [[1,2,3,5,6],[4]]
[1,2,4,6,3,5] => [1,2,4,6,3,5] => [[1,2,3,5],[4,6]]
[1,2,4,6,5,3] => [1,2,4,6,5,3] => [[1,2,3,5],[4],[6]]
[1,2,5,3,4,6] => [1,2,5,3,4,6] => [[1,2,3,4,6],[5]]
[1,2,5,3,6,4] => [1,2,5,3,6,4] => [[1,2,3,4],[5,6]]
[1,2,5,4,3,6] => [1,2,5,4,3,6] => [[1,2,3,6],[4],[5]]
[1,2,5,4,6,3] => [1,2,5,4,6,3] => [[1,2,3,6],[4],[5]]
[1,2,5,6,3,4] => [1,2,5,6,3,4] => [[1,2,3,4],[5,6]]
[1,2,5,6,4,3] => [1,2,5,6,4,3] => [[1,2,3,6],[4],[5]]
[1,2,6,3,4,5] => [1,2,6,3,4,5] => [[1,2,3,4,5],[6]]
[1,2,6,3,5,4] => [1,2,6,3,5,4] => [[1,2,3,4],[5],[6]]
[1,2,6,4,3,5] => [1,2,6,4,3,5] => [[1,2,3,5],[4],[6]]
[1,2,6,4,5,3] => [1,2,6,4,5,3] => [[1,2,3,5],[4],[6]]
[1,2,6,5,3,4] => [1,2,6,5,3,4] => [[1,2,3,4],[5],[6]]
[1,2,6,5,4,3] => [1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]]
[1,3,2,4,5,6] => [1,3,2,4,5,6] => [[1,2,4,5,6],[3]]
[1,3,2,4,6,5] => [1,3,2,4,6,5] => [[1,2,4,5],[3,6]]
[1,3,2,5,4,6] => [1,3,2,5,4,6] => [[1,2,4,6],[3,5]]
[1,3,2,5,6,4] => [1,3,2,5,6,4] => [[1,2,4,6],[3,5]]
[1,3,2,6,4,5] => [1,3,2,6,4,5] => [[1,2,4,5],[3,6]]
[1,3,2,6,5,4] => [1,3,2,6,5,4] => [[1,2,4],[3,5],[6]]
[1,3,4,2,5,6] => [1,3,4,2,5,6] => [[1,2,4,5,6],[3]]
[1,3,4,2,6,5] => [1,3,4,2,6,5] => [[1,2,4,5],[3,6]]
[1,3,4,5,2,6] => [1,3,4,5,2,6] => [[1,2,4,5,6],[3]]
[1,3,4,5,6,2] => [1,3,4,5,6,2] => [[1,2,4,5,6],[3]]
[1,3,4,6,2,5] => [1,3,4,6,2,5] => [[1,2,4,5],[3,6]]
[1,3,4,6,5,2] => [1,3,4,6,5,2] => [[1,2,4,5],[3],[6]]
[1,3,5,2,4,6] => [1,3,5,2,4,6] => [[1,2,4,6],[3,5]]
[1,3,5,2,6,4] => [1,3,5,2,6,4] => [[1,2,4,6],[3,5]]
[1,3,5,4,2,6] => [1,3,5,4,2,6] => [[1,2,4,6],[3],[5]]
[1,3,5,4,6,2] => [1,3,5,4,6,2] => [[1,2,4,6],[3],[5]]
[1,3,5,6,2,4] => [1,3,5,6,2,4] => [[1,2,4,6],[3,5]]
[1,3,5,6,4,2] => [1,3,5,6,4,2] => [[1,2,4,6],[3],[5]]
[1,3,6,2,4,5] => [1,3,6,2,4,5] => [[1,2,4,5],[3,6]]
[1,3,6,2,5,4] => [1,3,6,2,5,4] => [[1,2,4],[3,5],[6]]
[1,3,6,4,2,5] => [1,3,6,4,2,5] => [[1,2,4,5],[3],[6]]
[1,3,6,4,5,2] => [1,3,6,4,5,2] => [[1,2,4,5],[3],[6]]
[1,3,6,5,2,4] => [1,3,6,5,2,4] => [[1,2,4],[3,5],[6]]
[1,3,6,5,4,2] => [1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]]
[1,4,2,3,5,6] => [1,4,2,3,5,6] => [[1,2,3,5,6],[4]]
[1,4,2,3,6,5] => [1,4,2,3,6,5] => [[1,2,3,5],[4,6]]
[1,4,2,5,3,6] => [1,4,2,5,3,6] => [[1,2,3,6],[4,5]]
[1,4,2,5,6,3] => [1,4,2,5,6,3] => [[1,2,3,6],[4,5]]
[1,4,2,6,3,5] => [1,4,2,6,3,5] => [[1,2,3,5],[4,6]]
[1,4,2,6,5,3] => [1,4,2,6,5,3] => [[1,2,3],[4,5],[6]]
[1,4,3,2,5,6] => [1,4,3,2,5,6] => [[1,2,5,6],[3],[4]]
[1,4,3,2,6,5] => [1,4,3,2,6,5] => [[1,2,5],[3,6],[4]]
[1,4,3,5,2,6] => [1,4,3,5,2,6] => [[1,2,5,6],[3],[4]]
[1,4,3,5,6,2] => [1,4,3,5,6,2] => [[1,2,5,6],[3],[4]]
[1,4,3,6,2,5] => [1,4,3,6,2,5] => [[1,2,5],[3,6],[4]]
[1,4,3,6,5,2] => [1,4,3,6,5,2] => [[1,2,5],[3,6],[4]]
[1,4,5,2,3,6] => [1,4,5,2,3,6] => [[1,2,3,6],[4,5]]
[1,4,5,2,6,3] => [1,4,5,2,6,3] => [[1,2,3,6],[4,5]]
[1,4,5,3,2,6] => [1,4,5,3,2,6] => [[1,2,5,6],[3],[4]]
[1,4,5,3,6,2] => [1,4,5,3,6,2] => [[1,2,5,6],[3],[4]]
[1,4,5,6,2,3] => [1,4,5,6,2,3] => [[1,2,3,6],[4,5]]
[1,4,5,6,3,2] => [1,4,5,6,3,2] => [[1,2,5,6],[3],[4]]
[1,4,6,2,3,5] => [1,4,6,2,3,5] => [[1,2,3,5],[4,6]]
[1,4,6,2,5,3] => [1,4,6,2,5,3] => [[1,2,3],[4,5],[6]]
[1,4,6,3,2,5] => [1,4,6,3,2,5] => [[1,2,5],[3,6],[4]]
[1,4,6,3,5,2] => [1,4,6,3,5,2] => [[1,2,5],[3,6],[4]]
[1,4,6,5,2,3] => [1,4,6,5,2,3] => [[1,2,3],[4,5],[6]]
[1,4,6,5,3,2] => [1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]]
[1,5,2,3,4,6] => [1,5,2,3,4,6] => [[1,2,3,4,6],[5]]
[1,5,2,3,6,4] => [1,5,2,3,6,4] => [[1,2,3,4],[5,6]]
[1,5,2,4,3,6] => [1,5,2,4,3,6] => [[1,2,3,6],[4],[5]]
[1,5,2,4,6,3] => [1,5,2,4,6,3] => [[1,2,3,6],[4],[5]]
[1,5,2,6,3,4] => [1,5,2,6,3,4] => [[1,2,3,4],[5,6]]
[1,5,2,6,4,3] => [1,5,2,6,4,3] => [[1,2,3],[4,6],[5]]
[1,5,3,2,4,6] => [1,5,3,2,4,6] => [[1,2,4,6],[3],[5]]
[1,5,3,2,6,4] => [1,5,3,2,6,4] => [[1,2,4],[3,6],[5]]
[1,5,3,4,2,6] => [1,5,3,4,2,6] => [[1,2,4,6],[3],[5]]
[1,5,3,4,6,2] => [1,5,3,4,6,2] => [[1,2,4,6],[3],[5]]
[1,5,3,6,2,4] => [1,5,3,6,2,4] => [[1,2,4],[3,6],[5]]
[1,5,3,6,4,2] => [1,5,3,6,4,2] => [[1,2,4],[3,6],[5]]
[1,5,4,2,3,6] => [1,5,4,2,3,6] => [[1,2,3,6],[4],[5]]
[1,5,4,2,6,3] => [1,5,4,2,6,3] => [[1,2,3],[4,6],[5]]
[1,5,4,3,2,6] => [1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]]
[1,5,4,3,6,2] => [1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]]
[1,5,4,6,2,3] => [1,5,4,6,2,3] => [[1,2,3],[4,6],[5]]
[1,5,4,6,3,2] => [1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]]
[1,5,6,2,3,4] => [1,5,6,2,3,4] => [[1,2,3,4],[5,6]]
[1,5,6,2,4,3] => [1,5,6,2,4,3] => [[1,2,3],[4,6],[5]]
[1,5,6,3,2,4] => [1,5,6,3,2,4] => [[1,2,4],[3,6],[5]]
[1,5,6,3,4,2] => [1,5,6,3,4,2] => [[1,2,4],[3,6],[5]]
[1,5,6,4,2,3] => [1,5,6,4,2,3] => [[1,2,3],[4,6],[5]]
[1,5,6,4,3,2] => [1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]]
[1,6,2,3,4,5] => [1,6,2,3,4,5] => [[1,2,3,4,5],[6]]
[1,6,2,3,5,4] => [1,6,2,3,5,4] => [[1,2,3,4],[5],[6]]
[1,6,2,4,3,5] => [1,6,2,4,3,5] => [[1,2,3,5],[4],[6]]
[1,6,2,4,5,3] => [1,6,2,4,5,3] => [[1,2,3,5],[4],[6]]
[1,6,2,5,3,4] => [1,6,2,5,3,4] => [[1,2,3,4],[5],[6]]
[1,6,2,5,4,3] => [1,6,2,5,4,3] => [[1,2,3],[4],[5],[6]]
[1,6,3,2,4,5] => [1,6,3,2,4,5] => [[1,2,4,5],[3],[6]]
[1,6,3,2,5,4] => [1,6,3,2,5,4] => [[1,2,4],[3,5],[6]]
[1,6,3,4,2,5] => [1,6,3,4,2,5] => [[1,2,4,5],[3],[6]]
[1,6,3,4,5,2] => [1,6,3,4,5,2] => [[1,2,4,5],[3],[6]]
[1,6,3,5,2,4] => [1,6,3,5,2,4] => [[1,2,4],[3,5],[6]]
[1,6,3,5,4,2] => [1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]]
[1,6,4,2,3,5] => [1,6,4,2,3,5] => [[1,2,3,5],[4],[6]]
[1,6,4,2,5,3] => [1,6,4,2,5,3] => [[1,2,3],[4,5],[6]]
[1,6,4,3,2,5] => [1,6,4,3,2,5] => [[1,2,5],[3],[4],[6]]
[1,6,4,3,5,2] => [1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]]
[1,6,4,5,2,3] => [1,6,4,5,2,3] => [[1,2,3],[4,5],[6]]
[1,6,4,5,3,2] => [1,6,4,5,3,2] => [[1,2,5],[3],[4],[6]]
[1,6,5,2,3,4] => [1,6,5,2,3,4] => [[1,2,3,4],[5],[6]]
[1,6,5,2,4,3] => [1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]]
[1,6,5,3,2,4] => [1,6,5,3,2,4] => [[1,2,4],[3],[5],[6]]
[1,6,5,3,4,2] => [1,6,5,3,4,2] => [[1,2,4],[3],[5],[6]]
[1,6,5,4,2,3] => [1,6,5,4,2,3] => [[1,2,3],[4],[5],[6]]
[1,6,5,4,3,2] => [1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]]
[2,1,3,4,5,6] => [2,1,3,4,5,6] => [[1,3,4,5,6],[2]]
[2,1,3,4,6,5] => [2,1,3,4,6,5] => [[1,3,4,5],[2,6]]
[2,1,3,5,4,6] => [2,1,3,5,4,6] => [[1,3,4,6],[2,5]]
[2,1,3,5,6,4] => [2,1,3,5,6,4] => [[1,3,4,6],[2,5]]
[2,1,3,6,4,5] => [2,1,3,6,4,5] => [[1,3,4,5],[2,6]]
[2,1,3,6,5,4] => [2,1,3,6,5,4] => [[1,3,4],[2,5],[6]]
[2,1,4,3,5,6] => [2,1,4,3,5,6] => [[1,3,5,6],[2,4]]
[2,1,4,3,6,5] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]]
[2,1,4,5,3,6] => [2,1,4,5,3,6] => [[1,3,5,6],[2,4]]
[2,1,4,5,6,3] => [2,1,4,5,6,3] => [[1,3,5,6],[2,4]]
[2,1,4,6,3,5] => [2,1,4,6,3,5] => [[1,3,5],[2,4,6]]
[2,1,4,6,5,3] => [2,1,4,6,5,3] => [[1,3,5],[2,4],[6]]
[2,1,5,3,4,6] => [2,1,5,3,4,6] => [[1,3,4,6],[2,5]]
[2,1,5,3,6,4] => [2,1,5,3,6,4] => [[1,3,4],[2,5,6]]
[2,1,5,4,3,6] => [2,1,5,4,3,6] => [[1,3,6],[2,4],[5]]
[2,1,5,4,6,3] => [2,1,5,4,6,3] => [[1,3,6],[2,4],[5]]
[2,1,5,6,3,4] => [2,1,5,6,3,4] => [[1,3,4],[2,5,6]]
[2,1,5,6,4,3] => [2,1,5,6,4,3] => [[1,3,6],[2,4],[5]]
[2,1,6,3,4,5] => [2,1,6,3,4,5] => [[1,3,4,5],[2,6]]
[2,1,6,3,5,4] => [2,1,6,3,5,4] => [[1,3,4],[2,5],[6]]
[2,1,6,4,3,5] => [2,1,6,4,3,5] => [[1,3,5],[2,4],[6]]
[2,1,6,4,5,3] => [2,1,6,4,5,3] => [[1,3,5],[2,4],[6]]
[2,1,6,5,3,4] => [2,1,6,5,3,4] => [[1,3,4],[2,5],[6]]
[2,1,6,5,4,3] => [2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]]
[2,3,1,4,5,6] => [2,3,1,4,5,6] => [[1,3,4,5,6],[2]]
[2,3,1,4,6,5] => [2,3,1,4,6,5] => [[1,3,4,5],[2,6]]
[2,3,1,5,4,6] => [2,3,1,5,4,6] => [[1,3,4,6],[2,5]]
[2,3,1,5,6,4] => [2,3,1,5,6,4] => [[1,3,4,6],[2,5]]
[2,3,1,6,4,5] => [2,3,1,6,4,5] => [[1,3,4,5],[2,6]]
[2,3,1,6,5,4] => [2,3,1,6,5,4] => [[1,3,4],[2,5],[6]]
[2,3,4,1,5,6] => [2,3,4,1,5,6] => [[1,3,4,5,6],[2]]
[2,3,4,1,6,5] => [2,3,4,1,6,5] => [[1,3,4,5],[2,6]]
[2,3,4,5,1,6] => [2,3,4,5,1,6] => [[1,3,4,5,6],[2]]
[2,3,4,5,6,1] => [2,3,4,5,6,1] => [[1,3,4,5,6],[2]]
[2,3,4,6,1,5] => [2,3,4,6,1,5] => [[1,3,4,5],[2,6]]
[2,3,4,6,5,1] => [2,3,4,6,5,1] => [[1,3,4,5],[2],[6]]
[2,3,5,1,4,6] => [2,3,5,1,4,6] => [[1,3,4,6],[2,5]]
[2,3,5,1,6,4] => [2,3,5,1,6,4] => [[1,3,4,6],[2,5]]
[2,3,5,4,1,6] => [2,3,5,4,1,6] => [[1,3,4,6],[2],[5]]
[2,3,5,4,6,1] => [2,3,5,4,6,1] => [[1,3,4,6],[2],[5]]
[2,3,5,6,1,4] => [2,3,5,6,1,4] => [[1,3,4,6],[2,5]]
[2,3,5,6,4,1] => [2,3,5,6,4,1] => [[1,3,4,6],[2],[5]]
[2,3,6,1,4,5] => [2,3,6,1,4,5] => [[1,3,4,5],[2,6]]
[2,3,6,1,5,4] => [2,3,6,1,5,4] => [[1,3,4],[2,5],[6]]
[2,3,6,4,1,5] => [2,3,6,4,1,5] => [[1,3,4,5],[2],[6]]
[2,3,6,4,5,1] => [2,3,6,4,5,1] => [[1,3,4,5],[2],[6]]
[2,3,6,5,1,4] => [2,3,6,5,1,4] => [[1,3,4],[2,5],[6]]
[2,3,6,5,4,1] => [2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]]
[2,4,1,3,5,6] => [2,4,1,3,5,6] => [[1,3,5,6],[2,4]]
[2,4,1,3,6,5] => [2,4,1,3,6,5] => [[1,3,5],[2,4,6]]
[2,4,1,5,3,6] => [2,4,1,5,3,6] => [[1,3,5,6],[2,4]]
[2,4,1,5,6,3] => [2,4,1,5,6,3] => [[1,3,5,6],[2,4]]
[2,4,1,6,3,5] => [2,4,1,6,3,5] => [[1,3,5],[2,4,6]]
[2,4,1,6,5,3] => [2,4,1,6,5,3] => [[1,3,5],[2,4],[6]]
[2,4,3,1,5,6] => [2,4,3,1,5,6] => [[1,3,5,6],[2],[4]]
[2,4,3,1,6,5] => [2,4,3,1,6,5] => [[1,3,5],[2,6],[4]]
[2,4,3,5,1,6] => [2,4,3,5,1,6] => [[1,3,5,6],[2],[4]]
[2,4,3,5,6,1] => [2,4,3,5,6,1] => [[1,3,5,6],[2],[4]]
[2,4,3,6,1,5] => [2,4,3,6,1,5] => [[1,3,5],[2,6],[4]]
[2,4,3,6,5,1] => [2,4,3,6,5,1] => [[1,3,5],[2,6],[4]]
[2,4,5,1,3,6] => [2,4,5,1,3,6] => [[1,3,5,6],[2,4]]
[2,4,5,1,6,3] => [2,4,5,1,6,3] => [[1,3,5,6],[2,4]]
[2,4,5,3,1,6] => [2,4,5,3,1,6] => [[1,3,5,6],[2],[4]]
[2,4,5,3,6,1] => [2,4,5,3,6,1] => [[1,3,5,6],[2],[4]]
[2,4,5,6,1,3] => [2,4,5,6,1,3] => [[1,3,5,6],[2,4]]
[2,4,5,6,3,1] => [2,4,5,6,3,1] => [[1,3,5,6],[2],[4]]
[2,4,6,1,3,5] => [2,4,6,1,3,5] => [[1,3,5],[2,4,6]]
[2,4,6,1,5,3] => [2,4,6,1,5,3] => [[1,3,5],[2,4],[6]]
[2,4,6,3,1,5] => [2,4,6,3,1,5] => [[1,3,5],[2,6],[4]]
[2,4,6,3,5,1] => [2,4,6,3,5,1] => [[1,3,5],[2,6],[4]]
[2,4,6,5,1,3] => [2,4,6,5,1,3] => [[1,3,5],[2,4],[6]]
[2,4,6,5,3,1] => [2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]]
[2,5,1,3,4,6] => [2,5,1,3,4,6] => [[1,3,4,6],[2,5]]
[2,5,1,3,6,4] => [2,5,1,3,6,4] => [[1,3,4],[2,5,6]]
[2,5,1,4,3,6] => [2,5,1,4,3,6] => [[1,3,6],[2,4],[5]]
[2,5,1,4,6,3] => [2,5,1,4,6,3] => [[1,3,6],[2,4],[5]]
[2,5,1,6,3,4] => [2,5,1,6,3,4] => [[1,3,4],[2,5,6]]
[2,5,1,6,4,3] => [2,5,1,6,4,3] => [[1,3,6],[2,4],[5]]
[2,5,3,1,4,6] => [2,5,3,1,4,6] => [[1,3,4,6],[2],[5]]
[2,5,3,1,6,4] => [2,5,3,1,6,4] => [[1,3,4],[2,6],[5]]
[2,5,3,4,1,6] => [2,5,3,4,1,6] => [[1,3,4,6],[2],[5]]
[2,5,3,4,6,1] => [2,5,3,4,6,1] => [[1,3,4,6],[2],[5]]
[2,5,3,6,1,4] => [2,5,3,6,1,4] => [[1,3,4],[2,6],[5]]
[2,5,3,6,4,1] => [2,5,3,6,4,1] => [[1,3,4],[2,6],[5]]
[2,5,4,1,3,6] => [2,5,4,1,3,6] => [[1,3,6],[2,4],[5]]
[2,5,4,1,6,3] => [2,5,4,1,6,3] => [[1,3,6],[2,4],[5]]
[2,5,4,3,1,6] => [2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]]
[2,5,4,3,6,1] => [2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]]
[2,5,4,6,1,3] => [2,5,4,6,1,3] => [[1,3,6],[2,4],[5]]
[2,5,4,6,3,1] => [2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]]
[2,5,6,1,3,4] => [2,5,6,1,3,4] => [[1,3,4],[2,5,6]]
[2,5,6,1,4,3] => [2,5,6,1,4,3] => [[1,3,6],[2,4],[5]]
[2,5,6,3,1,4] => [2,5,6,3,1,4] => [[1,3,4],[2,6],[5]]
[2,5,6,3,4,1] => [2,5,6,3,4,1] => [[1,3,4],[2,6],[5]]
[2,5,6,4,1,3] => [2,5,6,4,1,3] => [[1,3,6],[2,4],[5]]
[2,5,6,4,3,1] => [2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]]
[2,6,1,3,4,5] => [2,6,1,3,4,5] => [[1,3,4,5],[2,6]]
[2,6,1,3,5,4] => [2,6,1,3,5,4] => [[1,3,4],[2,5],[6]]
[2,6,1,4,3,5] => [2,6,1,4,3,5] => [[1,3,5],[2,4],[6]]
[2,6,1,4,5,3] => [2,6,1,4,5,3] => [[1,3,5],[2,4],[6]]
[2,6,1,5,3,4] => [2,6,1,5,3,4] => [[1,3,4],[2,5],[6]]
[2,6,1,5,4,3] => [2,6,1,5,4,3] => [[1,3],[2,4],[5],[6]]
[2,6,3,1,4,5] => [2,6,3,1,4,5] => [[1,3,4,5],[2],[6]]
[2,6,3,1,5,4] => [2,6,3,1,5,4] => [[1,3,4],[2,5],[6]]
[2,6,3,4,1,5] => [2,6,3,4,1,5] => [[1,3,4,5],[2],[6]]
[2,6,3,4,5,1] => [2,6,3,4,5,1] => [[1,3,4,5],[2],[6]]
[2,6,3,5,1,4] => [2,6,3,5,1,4] => [[1,3,4],[2,5],[6]]
[2,6,3,5,4,1] => [2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]]
[2,6,4,1,3,5] => [2,6,4,1,3,5] => [[1,3,5],[2,4],[6]]
[2,6,4,1,5,3] => [2,6,4,1,5,3] => [[1,3,5],[2,4],[6]]
[2,6,4,3,1,5] => [2,6,4,3,1,5] => [[1,3,5],[2],[4],[6]]
[2,6,4,3,5,1] => [2,6,4,3,5,1] => [[1,3,5],[2],[4],[6]]
[2,6,4,5,1,3] => [2,6,4,5,1,3] => [[1,3,5],[2,4],[6]]
[2,6,4,5,3,1] => [2,6,4,5,3,1] => [[1,3,5],[2],[4],[6]]
[2,6,5,1,3,4] => [2,6,5,1,3,4] => [[1,3,4],[2,5],[6]]
[2,6,5,1,4,3] => [2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]]
[2,6,5,3,1,4] => [2,6,5,3,1,4] => [[1,3,4],[2],[5],[6]]
[2,6,5,3,4,1] => [2,6,5,3,4,1] => [[1,3,4],[2],[5],[6]]
[2,6,5,4,1,3] => [2,6,5,4,1,3] => [[1,3],[2,4],[5],[6]]
[2,6,5,4,3,1] => [2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]]
[3,1,2,4,5,6] => [3,1,2,4,5,6] => [[1,2,4,5,6],[3]]
[3,1,2,4,6,5] => [3,1,2,4,6,5] => [[1,2,4,5],[3,6]]
[3,1,2,5,4,6] => [3,1,2,5,4,6] => [[1,2,4,6],[3,5]]
[3,1,2,5,6,4] => [3,1,2,5,6,4] => [[1,2,4,6],[3,5]]
[3,1,2,6,4,5] => [3,1,2,6,4,5] => [[1,2,4,5],[3,6]]
[3,1,2,6,5,4] => [3,1,2,6,5,4] => [[1,2,4],[3,5],[6]]
[3,1,4,2,5,6] => [3,1,4,2,5,6] => [[1,2,5,6],[3,4]]
[3,1,4,2,6,5] => [3,1,4,2,6,5] => [[1,2,5],[3,4,6]]
[3,1,4,5,2,6] => [3,1,4,5,2,6] => [[1,2,5,6],[3,4]]
[3,1,4,5,6,2] => [3,1,4,5,6,2] => [[1,2,5,6],[3,4]]
[3,1,4,6,2,5] => [3,1,4,6,2,5] => [[1,2,5],[3,4,6]]
[3,1,4,6,5,2] => [3,1,4,6,5,2] => [[1,2,5],[3,4],[6]]
[3,1,5,2,4,6] => [3,1,5,2,4,6] => [[1,2,4,6],[3,5]]
[3,1,5,2,6,4] => [3,1,5,2,6,4] => [[1,2,4],[3,5,6]]
[3,1,5,4,2,6] => [3,1,5,4,2,6] => [[1,2,6],[3,4],[5]]
[3,1,5,4,6,2] => [3,1,5,4,6,2] => [[1,2,6],[3,4],[5]]
[3,1,5,6,2,4] => [3,1,5,6,2,4] => [[1,2,4],[3,5,6]]
[3,1,5,6,4,2] => [3,1,5,6,4,2] => [[1,2,6],[3,4],[5]]
[3,1,6,2,4,5] => [3,1,6,2,4,5] => [[1,2,4,5],[3,6]]
[3,1,6,2,5,4] => [3,1,6,2,5,4] => [[1,2,4],[3,5],[6]]
[3,1,6,4,2,5] => [3,1,6,4,2,5] => [[1,2,5],[3,4],[6]]
[3,1,6,4,5,2] => [3,1,6,4,5,2] => [[1,2,5],[3,4],[6]]
[3,1,6,5,2,4] => [3,1,6,5,2,4] => [[1,2,4],[3,5],[6]]
[3,1,6,5,4,2] => [3,1,6,5,4,2] => [[1,2],[3,4],[5],[6]]
[3,2,1,4,5,6] => [3,2,1,4,5,6] => [[1,4,5,6],[2],[3]]
[3,2,1,4,6,5] => [3,2,1,4,6,5] => [[1,4,5],[2,6],[3]]
[3,2,1,5,4,6] => [3,2,1,5,4,6] => [[1,4,6],[2,5],[3]]
[3,2,1,5,6,4] => [3,2,1,5,6,4] => [[1,4,6],[2,5],[3]]
[3,2,1,6,4,5] => [3,2,1,6,4,5] => [[1,4,5],[2,6],[3]]
[3,2,1,6,5,4] => [3,2,1,6,5,4] => [[1,4],[2,5],[3,6]]
[3,2,4,1,5,6] => [3,2,4,1,5,6] => [[1,4,5,6],[2],[3]]
[3,2,4,1,6,5] => [3,2,4,1,6,5] => [[1,4,5],[2,6],[3]]
[3,2,4,5,1,6] => [3,2,4,5,1,6] => [[1,4,5,6],[2],[3]]
[3,2,4,5,6,1] => [3,2,4,5,6,1] => [[1,4,5,6],[2],[3]]
[3,2,4,6,1,5] => [3,2,4,6,1,5] => [[1,4,5],[2,6],[3]]
[3,2,4,6,5,1] => [3,2,4,6,5,1] => [[1,4,5],[2,6],[3]]
[3,2,5,1,4,6] => [3,2,5,1,4,6] => [[1,4,6],[2,5],[3]]
[3,2,5,1,6,4] => [3,2,5,1,6,4] => [[1,4,6],[2,5],[3]]
[3,2,5,4,1,6] => [3,2,5,4,1,6] => [[1,4,6],[2,5],[3]]
[3,2,5,4,6,1] => [3,2,5,4,6,1] => [[1,4,6],[2,5],[3]]
[3,2,5,6,1,4] => [3,2,5,6,1,4] => [[1,4,6],[2,5],[3]]
[3,2,5,6,4,1] => [3,2,5,6,4,1] => [[1,4,6],[2,5],[3]]
[3,2,6,1,4,5] => [3,2,6,1,4,5] => [[1,4,5],[2,6],[3]]
[3,2,6,1,5,4] => [3,2,6,1,5,4] => [[1,4],[2,5],[3,6]]
[3,2,6,4,1,5] => [3,2,6,4,1,5] => [[1,4,5],[2,6],[3]]
[3,2,6,4,5,1] => [3,2,6,4,5,1] => [[1,4,5],[2,6],[3]]
[3,2,6,5,1,4] => [3,2,6,5,1,4] => [[1,4],[2,5],[3,6]]
[3,2,6,5,4,1] => [3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]]
[3,4,1,2,5,6] => [3,4,1,2,5,6] => [[1,2,5,6],[3,4]]
[3,4,1,2,6,5] => [3,4,1,2,6,5] => [[1,2,5],[3,4,6]]
[3,4,1,5,2,6] => [3,4,1,5,2,6] => [[1,2,5,6],[3,4]]
[3,4,1,5,6,2] => [3,4,1,5,6,2] => [[1,2,5,6],[3,4]]
[3,4,1,6,2,5] => [3,4,1,6,2,5] => [[1,2,5],[3,4,6]]
[3,4,1,6,5,2] => [3,4,1,6,5,2] => [[1,2,5],[3,4],[6]]
[3,4,2,1,5,6] => [3,4,2,1,5,6] => [[1,4,5,6],[2],[3]]
[3,4,2,1,6,5] => [3,4,2,1,6,5] => [[1,4,5],[2,6],[3]]
[3,4,2,5,1,6] => [3,4,2,5,1,6] => [[1,4,5,6],[2],[3]]
[3,4,2,5,6,1] => [3,4,2,5,6,1] => [[1,4,5,6],[2],[3]]
[3,4,2,6,1,5] => [3,4,2,6,1,5] => [[1,4,5],[2,6],[3]]
[3,4,2,6,5,1] => [3,4,2,6,5,1] => [[1,4,5],[2,6],[3]]
[3,4,5,1,2,6] => [3,4,5,1,2,6] => [[1,2,5,6],[3,4]]
[3,4,5,1,6,2] => [3,4,5,1,6,2] => [[1,2,5,6],[3,4]]
[3,4,5,2,1,6] => [3,4,5,2,1,6] => [[1,4,5,6],[2],[3]]
[3,4,5,2,6,1] => [3,4,5,2,6,1] => [[1,4,5,6],[2],[3]]
[3,4,5,6,1,2] => [3,4,5,6,1,2] => [[1,2,5,6],[3,4]]
[3,4,5,6,2,1] => [3,4,5,6,2,1] => [[1,4,5,6],[2],[3]]
[3,4,6,1,2,5] => [3,4,6,1,2,5] => [[1,2,5],[3,4,6]]
[3,4,6,1,5,2] => [3,4,6,1,5,2] => [[1,2,5],[3,4],[6]]
[3,4,6,2,1,5] => [3,4,6,2,1,5] => [[1,4,5],[2,6],[3]]
[3,4,6,2,5,1] => [3,4,6,2,5,1] => [[1,4,5],[2,6],[3]]
[3,4,6,5,1,2] => [3,4,6,5,1,2] => [[1,2,5],[3,4],[6]]
[3,4,6,5,2,1] => [3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]]
[3,5,1,2,4,6] => [3,5,1,2,4,6] => [[1,2,4,6],[3,5]]
[3,5,1,2,6,4] => [3,5,1,2,6,4] => [[1,2,4],[3,5,6]]
[3,5,1,4,2,6] => [3,5,1,4,2,6] => [[1,2,6],[3,4],[5]]
[3,5,1,4,6,2] => [3,5,1,4,6,2] => [[1,2,6],[3,4],[5]]
[3,5,1,6,2,4] => [3,5,1,6,2,4] => [[1,2,4],[3,5,6]]
[3,5,1,6,4,2] => [3,5,1,6,4,2] => [[1,2,6],[3,4],[5]]
[3,5,2,1,4,6] => [3,5,2,1,4,6] => [[1,4,6],[2,5],[3]]
[3,5,2,1,6,4] => [3,5,2,1,6,4] => [[1,4,6],[2,5],[3]]
[3,5,2,4,1,6] => [3,5,2,4,1,6] => [[1,4,6],[2,5],[3]]
[3,5,2,4,6,1] => [3,5,2,4,6,1] => [[1,4,6],[2,5],[3]]
[3,5,2,6,1,4] => [3,5,2,6,1,4] => [[1,4,6],[2,5],[3]]
[3,5,2,6,4,1] => [3,5,2,6,4,1] => [[1,4,6],[2,5],[3]]
[3,5,4,1,2,6] => [3,5,4,1,2,6] => [[1,2,6],[3,4],[5]]
[3,5,4,1,6,2] => [3,5,4,1,6,2] => [[1,2,6],[3,4],[5]]
[3,5,4,2,1,6] => [3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]]
[3,5,4,2,6,1] => [3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]]
[3,5,4,6,1,2] => [3,5,4,6,1,2] => [[1,2,6],[3,4],[5]]
[3,5,4,6,2,1] => [3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]]
[3,5,6,1,2,4] => [3,5,6,1,2,4] => [[1,2,4],[3,5,6]]
[3,5,6,1,4,2] => [3,5,6,1,4,2] => [[1,2,6],[3,4],[5]]
[3,5,6,2,1,4] => [3,5,6,2,1,4] => [[1,4,6],[2,5],[3]]
[3,5,6,2,4,1] => [3,5,6,2,4,1] => [[1,4,6],[2,5],[3]]
[3,5,6,4,1,2] => [3,5,6,4,1,2] => [[1,2,6],[3,4],[5]]
[3,5,6,4,2,1] => [3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]]
[3,6,1,2,4,5] => [3,6,1,2,4,5] => [[1,2,4,5],[3,6]]
[3,6,1,2,5,4] => [3,6,1,2,5,4] => [[1,2,4],[3,5],[6]]
[3,6,1,4,2,5] => [3,6,1,4,2,5] => [[1,2,5],[3,4],[6]]
[3,6,1,4,5,2] => [3,6,1,4,5,2] => [[1,2,5],[3,4],[6]]
[3,6,1,5,2,4] => [3,6,1,5,2,4] => [[1,2,4],[3,5],[6]]
[3,6,1,5,4,2] => [3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]]
[3,6,2,1,4,5] => [3,6,2,1,4,5] => [[1,4,5],[2,6],[3]]
[3,6,2,1,5,4] => [3,6,2,1,5,4] => [[1,4],[2,5],[3,6]]
[3,6,2,4,1,5] => [3,6,2,4,1,5] => [[1,4,5],[2,6],[3]]
[3,6,2,4,5,1] => [3,6,2,4,5,1] => [[1,4,5],[2,6],[3]]
[3,6,2,5,1,4] => [3,6,2,5,1,4] => [[1,4],[2,5],[3,6]]
[3,6,2,5,4,1] => [3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]]
[3,6,4,1,2,5] => [3,6,4,1,2,5] => [[1,2,5],[3,4],[6]]
[3,6,4,1,5,2] => [3,6,4,1,5,2] => [[1,2,5],[3,4],[6]]
[3,6,4,2,1,5] => [3,6,4,2,1,5] => [[1,4,5],[2],[3],[6]]
[3,6,4,2,5,1] => [3,6,4,2,5,1] => [[1,4,5],[2],[3],[6]]
[3,6,4,5,1,2] => [3,6,4,5,1,2] => [[1,2,5],[3,4],[6]]
[3,6,4,5,2,1] => [3,6,4,5,2,1] => [[1,4,5],[2],[3],[6]]
[3,6,5,1,2,4] => [3,6,5,1,2,4] => [[1,2,4],[3,5],[6]]
[3,6,5,1,4,2] => [3,6,5,1,4,2] => [[1,2],[3,4],[5],[6]]
[3,6,5,2,1,4] => [3,6,5,2,1,4] => [[1,4],[2,5],[3],[6]]
[3,6,5,2,4,1] => [3,6,5,2,4,1] => [[1,4],[2,5],[3],[6]]
[3,6,5,4,1,2] => [3,6,5,4,1,2] => [[1,2],[3,4],[5],[6]]
[3,6,5,4,2,1] => [3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]]
[4,1,2,3,5,6] => [4,1,2,3,5,6] => [[1,2,3,5,6],[4]]
[4,1,2,3,6,5] => [4,1,2,3,6,5] => [[1,2,3,5],[4,6]]
[4,1,2,5,3,6] => [4,1,2,5,3,6] => [[1,2,3,6],[4,5]]
[4,1,2,5,6,3] => [4,1,2,5,6,3] => [[1,2,3,6],[4,5]]
[4,1,2,6,3,5] => [4,1,2,6,3,5] => [[1,2,3,5],[4,6]]
[4,1,2,6,5,3] => [4,1,2,6,5,3] => [[1,2,3],[4,5],[6]]
[4,1,3,2,5,6] => [4,1,3,2,5,6] => [[1,2,5,6],[3],[4]]
[4,1,3,2,6,5] => [4,1,3,2,6,5] => [[1,2,5],[3,6],[4]]
[4,1,3,5,2,6] => [4,1,3,5,2,6] => [[1,2,5,6],[3],[4]]
[4,1,3,5,6,2] => [4,1,3,5,6,2] => [[1,2,5,6],[3],[4]]
[4,1,3,6,2,5] => [4,1,3,6,2,5] => [[1,2,5],[3,6],[4]]
[4,1,3,6,5,2] => [4,1,3,6,5,2] => [[1,2,5],[3,6],[4]]
[4,1,5,2,3,6] => [4,1,5,2,3,6] => [[1,2,3,6],[4,5]]
[4,1,5,2,6,3] => [4,1,5,2,6,3] => [[1,2,3],[4,5,6]]
[4,1,5,3,2,6] => [4,1,5,3,2,6] => [[1,2,6],[3,5],[4]]
[4,1,5,3,6,2] => [4,1,5,3,6,2] => [[1,2,6],[3,5],[4]]
[4,1,5,6,2,3] => [4,1,5,6,2,3] => [[1,2,3],[4,5,6]]
[4,1,5,6,3,2] => [4,1,5,6,3,2] => [[1,2,6],[3,5],[4]]
[4,1,6,2,3,5] => [4,1,6,2,3,5] => [[1,2,3,5],[4,6]]
[4,1,6,2,5,3] => [4,1,6,2,5,3] => [[1,2,3],[4,5],[6]]
[4,1,6,3,2,5] => [4,1,6,3,2,5] => [[1,2,5],[3,6],[4]]
[4,1,6,3,5,2] => [4,1,6,3,5,2] => [[1,2,5],[3,6],[4]]
[4,1,6,5,2,3] => [4,1,6,5,2,3] => [[1,2,3],[4,5],[6]]
[4,1,6,5,3,2] => [4,1,6,5,3,2] => [[1,2],[3,5],[4],[6]]
[4,2,1,3,5,6] => [4,2,1,3,5,6] => [[1,3,5,6],[2],[4]]
[4,2,1,3,6,5] => [4,2,1,3,6,5] => [[1,3,5],[2,6],[4]]
[4,2,1,5,3,6] => [4,2,1,5,3,6] => [[1,3,6],[2,5],[4]]
[4,2,1,5,6,3] => [4,2,1,5,6,3] => [[1,3,6],[2,5],[4]]
[4,2,1,6,3,5] => [4,2,1,6,3,5] => [[1,3,5],[2,6],[4]]
[4,2,1,6,5,3] => [4,2,1,6,5,3] => [[1,3],[2,5],[4,6]]
[4,2,3,1,5,6] => [4,2,3,1,5,6] => [[1,3,5,6],[2],[4]]
[4,2,3,1,6,5] => [4,2,3,1,6,5] => [[1,3,5],[2,6],[4]]
[4,2,3,5,1,6] => [4,2,3,5,1,6] => [[1,3,5,6],[2],[4]]
[4,2,3,5,6,1] => [4,2,3,5,6,1] => [[1,3,5,6],[2],[4]]
[4,2,3,6,1,5] => [4,2,3,6,1,5] => [[1,3,5],[2,6],[4]]
[4,2,3,6,5,1] => [4,2,3,6,5,1] => [[1,3,5],[2,6],[4]]
[4,2,5,1,3,6] => [4,2,5,1,3,6] => [[1,3,6],[2,5],[4]]
[4,2,5,1,6,3] => [4,2,5,1,6,3] => [[1,3,6],[2,5],[4]]
[4,2,5,3,1,6] => [4,2,5,3,1,6] => [[1,3,6],[2,5],[4]]
[4,2,5,3,6,1] => [4,2,5,3,6,1] => [[1,3,6],[2,5],[4]]
[4,2,5,6,1,3] => [4,2,5,6,1,3] => [[1,3,6],[2,5],[4]]
[4,2,5,6,3,1] => [4,2,5,6,3,1] => [[1,3,6],[2,5],[4]]
[4,2,6,1,3,5] => [4,2,6,1,3,5] => [[1,3,5],[2,6],[4]]
[4,2,6,1,5,3] => [4,2,6,1,5,3] => [[1,3],[2,5],[4,6]]
[4,2,6,3,1,5] => [4,2,6,3,1,5] => [[1,3,5],[2,6],[4]]
[4,2,6,3,5,1] => [4,2,6,3,5,1] => [[1,3,5],[2,6],[4]]
[4,2,6,5,1,3] => [4,2,6,5,1,3] => [[1,3],[2,5],[4,6]]
[4,2,6,5,3,1] => [4,2,6,5,3,1] => [[1,3],[2,5],[4],[6]]
[4,3,1,2,5,6] => [4,3,1,2,5,6] => [[1,2,5,6],[3],[4]]
[4,3,1,2,6,5] => [4,3,1,2,6,5] => [[1,2,5],[3,6],[4]]
[4,3,1,5,2,6] => [4,3,1,5,2,6] => [[1,2,6],[3,5],[4]]
[4,3,1,5,6,2] => [4,3,1,5,6,2] => [[1,2,6],[3,5],[4]]
[4,3,1,6,2,5] => [4,3,1,6,2,5] => [[1,2,5],[3,6],[4]]
[4,3,1,6,5,2] => [4,3,1,6,5,2] => [[1,2],[3,5],[4,6]]
[4,3,2,1,5,6] => [4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]]
[4,3,2,1,6,5] => [4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]]
[4,3,2,5,1,6] => [4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]]
[4,3,2,5,6,1] => [4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]]
[4,3,2,6,1,5] => [4,3,2,6,1,5] => [[1,5],[2,6],[3],[4]]
[4,3,2,6,5,1] => [4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]]
[4,3,5,1,2,6] => [4,3,5,1,2,6] => [[1,2,6],[3,5],[4]]
[4,3,5,1,6,2] => [4,3,5,1,6,2] => [[1,2,6],[3,5],[4]]
[4,3,5,2,1,6] => [4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]]
[4,3,5,2,6,1] => [4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]]
[4,3,5,6,1,2] => [4,3,5,6,1,2] => [[1,2,6],[3,5],[4]]
[4,3,5,6,2,1] => [4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]]
[4,3,6,1,2,5] => [4,3,6,1,2,5] => [[1,2,5],[3,6],[4]]
[4,3,6,1,5,2] => [4,3,6,1,5,2] => [[1,2],[3,5],[4,6]]
[4,3,6,2,1,5] => [4,3,6,2,1,5] => [[1,5],[2,6],[3],[4]]
[4,3,6,2,5,1] => [4,3,6,2,5,1] => [[1,5],[2,6],[3],[4]]
[4,3,6,5,1,2] => [4,3,6,5,1,2] => [[1,2],[3,5],[4,6]]
[4,3,6,5,2,1] => [4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]]
[4,5,1,2,3,6] => [4,5,1,2,3,6] => [[1,2,3,6],[4,5]]
[4,5,1,2,6,3] => [4,5,1,2,6,3] => [[1,2,3],[4,5,6]]
[4,5,1,3,2,6] => [4,5,1,3,2,6] => [[1,2,6],[3,5],[4]]
[4,5,1,3,6,2] => [4,5,1,3,6,2] => [[1,2,6],[3,5],[4]]
[4,5,1,6,2,3] => [4,5,1,6,2,3] => [[1,2,3],[4,5,6]]
[4,5,1,6,3,2] => [4,5,1,6,3,2] => [[1,2,6],[3,5],[4]]
[4,5,2,1,3,6] => [4,5,2,1,3,6] => [[1,3,6],[2,5],[4]]
[4,5,2,1,6,3] => [4,5,2,1,6,3] => [[1,3,6],[2,5],[4]]
[4,5,2,3,1,6] => [4,5,2,3,1,6] => [[1,3,6],[2,5],[4]]
[4,5,2,3,6,1] => [4,5,2,3,6,1] => [[1,3,6],[2,5],[4]]
[4,5,2,6,1,3] => [4,5,2,6,1,3] => [[1,3,6],[2,5],[4]]
[4,5,2,6,3,1] => [4,5,2,6,3,1] => [[1,3,6],[2,5],[4]]
[4,5,3,1,2,6] => [4,5,3,1,2,6] => [[1,2,6],[3,5],[4]]
[4,5,3,1,6,2] => [4,5,3,1,6,2] => [[1,2,6],[3,5],[4]]
[4,5,3,2,1,6] => [4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]]
[4,5,3,2,6,1] => [4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]]
[4,5,3,6,1,2] => [4,5,3,6,1,2] => [[1,2,6],[3,5],[4]]
[4,5,3,6,2,1] => [4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]]
[4,5,6,1,2,3] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]]
[4,5,6,1,3,2] => [4,5,6,1,3,2] => [[1,2,6],[3,5],[4]]
[4,5,6,2,1,3] => [4,5,6,2,1,3] => [[1,3,6],[2,5],[4]]
[4,5,6,2,3,1] => [4,5,6,2,3,1] => [[1,3,6],[2,5],[4]]
[4,5,6,3,1,2] => [4,5,6,3,1,2] => [[1,2,6],[3,5],[4]]
[4,5,6,3,2,1] => [4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]]
[4,6,1,2,3,5] => [4,6,1,2,3,5] => [[1,2,3,5],[4,6]]
[4,6,1,2,5,3] => [4,6,1,2,5,3] => [[1,2,3],[4,5],[6]]
[4,6,1,3,2,5] => [4,6,1,3,2,5] => [[1,2,5],[3,6],[4]]
[4,6,1,3,5,2] => [4,6,1,3,5,2] => [[1,2,5],[3,6],[4]]
[4,6,1,5,2,3] => [4,6,1,5,2,3] => [[1,2,3],[4,5],[6]]
[4,6,1,5,3,2] => [4,6,1,5,3,2] => [[1,2],[3,5],[4],[6]]
[4,6,2,1,3,5] => [4,6,2,1,3,5] => [[1,3,5],[2,6],[4]]
[4,6,2,1,5,3] => [4,6,2,1,5,3] => [[1,3],[2,5],[4,6]]
[4,6,2,3,1,5] => [4,6,2,3,1,5] => [[1,3,5],[2,6],[4]]
[4,6,2,3,5,1] => [4,6,2,3,5,1] => [[1,3,5],[2,6],[4]]
[4,6,2,5,1,3] => [4,6,2,5,1,3] => [[1,3],[2,5],[4,6]]
[4,6,2,5,3,1] => [4,6,2,5,3,1] => [[1,3],[2,5],[4],[6]]
[4,6,3,1,2,5] => [4,6,3,1,2,5] => [[1,2,5],[3,6],[4]]
[4,6,3,1,5,2] => [4,6,3,1,5,2] => [[1,2],[3,5],[4,6]]
[4,6,3,2,1,5] => [4,6,3,2,1,5] => [[1,5],[2,6],[3],[4]]
[4,6,3,2,5,1] => [4,6,3,2,5,1] => [[1,5],[2,6],[3],[4]]
[4,6,3,5,1,2] => [4,6,3,5,1,2] => [[1,2],[3,5],[4,6]]
[4,6,3,5,2,1] => [4,6,3,5,2,1] => [[1,5],[2,6],[3],[4]]
[4,6,5,1,2,3] => [4,6,5,1,2,3] => [[1,2,3],[4,5],[6]]
[4,6,5,1,3,2] => [4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]]
[4,6,5,2,1,3] => [4,6,5,2,1,3] => [[1,3],[2,5],[4],[6]]
[4,6,5,2,3,1] => [4,6,5,2,3,1] => [[1,3],[2,5],[4],[6]]
[4,6,5,3,1,2] => [4,6,5,3,1,2] => [[1,2],[3,5],[4],[6]]
[4,6,5,3,2,1] => [4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]]
[5,1,2,3,4,6] => [5,1,2,3,4,6] => [[1,2,3,4,6],[5]]
[5,1,2,3,6,4] => [5,1,2,3,6,4] => [[1,2,3,4],[5,6]]
[5,1,2,4,3,6] => [5,1,2,4,3,6] => [[1,2,3,6],[4],[5]]
[5,1,2,4,6,3] => [5,1,2,4,6,3] => [[1,2,3,6],[4],[5]]
[5,1,2,6,3,4] => [5,1,2,6,3,4] => [[1,2,3,4],[5,6]]
[5,1,2,6,4,3] => [5,1,2,6,4,3] => [[1,2,3],[4,6],[5]]
[5,1,3,2,4,6] => [5,1,3,2,4,6] => [[1,2,4,6],[3],[5]]
[5,1,3,2,6,4] => [5,1,3,2,6,4] => [[1,2,4],[3,6],[5]]
[5,1,3,4,2,6] => [5,1,3,4,2,6] => [[1,2,4,6],[3],[5]]
[5,1,3,4,6,2] => [5,1,3,4,6,2] => [[1,2,4,6],[3],[5]]
[5,1,3,6,2,4] => [5,1,3,6,2,4] => [[1,2,4],[3,6],[5]]
[5,1,3,6,4,2] => [5,1,3,6,4,2] => [[1,2,4],[3,6],[5]]
[5,1,4,2,3,6] => [5,1,4,2,3,6] => [[1,2,3,6],[4],[5]]
[5,1,4,2,6,3] => [5,1,4,2,6,3] => [[1,2,3],[4,6],[5]]
[5,1,4,3,2,6] => [5,1,4,3,2,6] => [[1,2,6],[3],[4],[5]]
[5,1,4,3,6,2] => [5,1,4,3,6,2] => [[1,2,6],[3],[4],[5]]
[5,1,4,6,2,3] => [5,1,4,6,2,3] => [[1,2,3],[4,6],[5]]
[5,1,4,6,3,2] => [5,1,4,6,3,2] => [[1,2,6],[3],[4],[5]]
[5,1,6,2,3,4] => [5,1,6,2,3,4] => [[1,2,3,4],[5,6]]
[5,1,6,2,4,3] => [5,1,6,2,4,3] => [[1,2,3],[4,6],[5]]
[5,1,6,3,2,4] => [5,1,6,3,2,4] => [[1,2,4],[3,6],[5]]
[5,1,6,3,4,2] => [5,1,6,3,4,2] => [[1,2,4],[3,6],[5]]
[5,1,6,4,2,3] => [5,1,6,4,2,3] => [[1,2,3],[4,6],[5]]
[5,1,6,4,3,2] => [5,1,6,4,3,2] => [[1,2],[3,6],[4],[5]]
[5,2,1,3,4,6] => [5,2,1,3,4,6] => [[1,3,4,6],[2],[5]]
[5,2,1,3,6,4] => [5,2,1,3,6,4] => [[1,3,4],[2,6],[5]]
[5,2,1,4,3,6] => [5,2,1,4,3,6] => [[1,3,6],[2,4],[5]]
[5,2,1,4,6,3] => [5,2,1,4,6,3] => [[1,3,6],[2,4],[5]]
[5,2,1,6,3,4] => [5,2,1,6,3,4] => [[1,3,4],[2,6],[5]]
[5,2,1,6,4,3] => [5,2,1,6,4,3] => [[1,3],[2,4],[5,6]]
[5,2,3,1,4,6] => [5,2,3,1,4,6] => [[1,3,4,6],[2],[5]]
[5,2,3,1,6,4] => [5,2,3,1,6,4] => [[1,3,4],[2,6],[5]]
[5,2,3,4,1,6] => [5,2,3,4,1,6] => [[1,3,4,6],[2],[5]]
[5,2,3,4,6,1] => [5,2,3,4,6,1] => [[1,3,4,6],[2],[5]]
[5,2,3,6,1,4] => [5,2,3,6,1,4] => [[1,3,4],[2,6],[5]]
[5,2,3,6,4,1] => [5,2,3,6,4,1] => [[1,3,4],[2,6],[5]]
[5,2,4,1,3,6] => [5,2,4,1,3,6] => [[1,3,6],[2,4],[5]]
[5,2,4,1,6,3] => [5,2,4,1,6,3] => [[1,3,6],[2,4],[5]]
[5,2,4,3,1,6] => [5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]]
[5,2,4,3,6,1] => [5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]]
[5,2,4,6,1,3] => [5,2,4,6,1,3] => [[1,3,6],[2,4],[5]]
[5,2,4,6,3,1] => [5,2,4,6,3,1] => [[1,3,6],[2],[4],[5]]
[5,2,6,1,3,4] => [5,2,6,1,3,4] => [[1,3,4],[2,6],[5]]
[5,2,6,1,4,3] => [5,2,6,1,4,3] => [[1,3],[2,4],[5,6]]
[5,2,6,3,1,4] => [5,2,6,3,1,4] => [[1,3,4],[2,6],[5]]
[5,2,6,3,4,1] => [5,2,6,3,4,1] => [[1,3,4],[2,6],[5]]
[5,2,6,4,1,3] => [5,2,6,4,1,3] => [[1,3],[2,4],[5,6]]
[5,2,6,4,3,1] => [5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]]
[5,3,1,2,4,6] => [5,3,1,2,4,6] => [[1,2,4,6],[3],[5]]
[5,3,1,2,6,4] => [5,3,1,2,6,4] => [[1,2,4],[3,6],[5]]
[5,3,1,4,2,6] => [5,3,1,4,2,6] => [[1,2,6],[3,4],[5]]
[5,3,1,4,6,2] => [5,3,1,4,6,2] => [[1,2,6],[3,4],[5]]
[5,3,1,6,2,4] => [5,3,1,6,2,4] => [[1,2,4],[3,6],[5]]
[5,3,1,6,4,2] => [5,3,1,6,4,2] => [[1,2],[3,4],[5,6]]
[5,3,2,1,4,6] => [5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]]
[5,3,2,1,6,4] => [5,3,2,1,6,4] => [[1,4],[2,6],[3],[5]]
[5,3,2,4,1,6] => [5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]]
[5,3,2,4,6,1] => [5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]]
[5,3,2,6,1,4] => [5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]]
[5,3,2,6,4,1] => [5,3,2,6,4,1] => [[1,4],[2,6],[3],[5]]
[5,3,4,1,2,6] => [5,3,4,1,2,6] => [[1,2,6],[3,4],[5]]
[5,3,4,1,6,2] => [5,3,4,1,6,2] => [[1,2,6],[3,4],[5]]
[5,3,4,2,1,6] => [5,3,4,2,1,6] => [[1,4,6],[2],[3],[5]]
[5,3,4,2,6,1] => [5,3,4,2,6,1] => [[1,4,6],[2],[3],[5]]
[5,3,4,6,1,2] => [5,3,4,6,1,2] => [[1,2,6],[3,4],[5]]
[5,3,4,6,2,1] => [5,3,4,6,2,1] => [[1,4,6],[2],[3],[5]]
[5,3,6,1,2,4] => [5,3,6,1,2,4] => [[1,2,4],[3,6],[5]]
[5,3,6,1,4,2] => [5,3,6,1,4,2] => [[1,2],[3,4],[5,6]]
[5,3,6,2,1,4] => [5,3,6,2,1,4] => [[1,4],[2,6],[3],[5]]
[5,3,6,2,4,1] => [5,3,6,2,4,1] => [[1,4],[2,6],[3],[5]]
[5,3,6,4,1,2] => [5,3,6,4,1,2] => [[1,2],[3,4],[5,6]]
[5,3,6,4,2,1] => [5,3,6,4,2,1] => [[1,4],[2,6],[3],[5]]
[5,4,1,2,3,6] => [5,4,1,2,3,6] => [[1,2,3,6],[4],[5]]
[5,4,1,2,6,3] => [5,4,1,2,6,3] => [[1,2,3],[4,6],[5]]
[5,4,1,3,2,6] => [5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]]
[5,4,1,3,6,2] => [5,4,1,3,6,2] => [[1,2,6],[3],[4],[5]]
[5,4,1,6,2,3] => [5,4,1,6,2,3] => [[1,2,3],[4,6],[5]]
[5,4,1,6,3,2] => [5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]]
[5,4,2,1,3,6] => [5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]]
[5,4,2,1,6,3] => [5,4,2,1,6,3] => [[1,3],[2,6],[4],[5]]
[5,4,2,3,1,6] => [5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]]
[5,4,2,3,6,1] => [5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]]
[5,4,2,6,1,3] => [5,4,2,6,1,3] => [[1,3],[2,6],[4],[5]]
[5,4,2,6,3,1] => [5,4,2,6,3,1] => [[1,3],[2,6],[4],[5]]
[5,4,3,1,2,6] => [5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]]
[5,4,3,1,6,2] => [5,4,3,1,6,2] => [[1,2],[3,6],[4],[5]]
[5,4,3,2,1,6] => [5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]]
[5,4,3,2,6,1] => [5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]]
[5,4,3,6,1,2] => [5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]]
[5,4,3,6,2,1] => [5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]]
[5,4,6,1,2,3] => [5,4,6,1,2,3] => [[1,2,3],[4,6],[5]]
[5,4,6,1,3,2] => [5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]]
[5,4,6,2,1,3] => [5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]]
[5,4,6,2,3,1] => [5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]]
[5,4,6,3,1,2] => [5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]]
[5,4,6,3,2,1] => [5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]]
[5,6,1,2,3,4] => [5,6,1,2,3,4] => [[1,2,3,4],[5,6]]
[5,6,1,2,4,3] => [5,6,1,2,4,3] => [[1,2,3],[4,6],[5]]
[5,6,1,3,2,4] => [5,6,1,3,2,4] => [[1,2,4],[3,6],[5]]
[5,6,1,3,4,2] => [5,6,1,3,4,2] => [[1,2,4],[3,6],[5]]
[5,6,1,4,2,3] => [5,6,1,4,2,3] => [[1,2,3],[4,6],[5]]
[5,6,1,4,3,2] => [5,6,1,4,3,2] => [[1,2],[3,6],[4],[5]]
[5,6,2,1,3,4] => [5,6,2,1,3,4] => [[1,3,4],[2,6],[5]]
[5,6,2,1,4,3] => [5,6,2,1,4,3] => [[1,3],[2,4],[5,6]]
[5,6,2,3,1,4] => [5,6,2,3,1,4] => [[1,3,4],[2,6],[5]]
[5,6,2,3,4,1] => [5,6,2,3,4,1] => [[1,3,4],[2,6],[5]]
[5,6,2,4,1,3] => [5,6,2,4,1,3] => [[1,3],[2,4],[5,6]]
[5,6,2,4,3,1] => [5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]]
[5,6,3,1,2,4] => [5,6,3,1,2,4] => [[1,2,4],[3,6],[5]]
[5,6,3,1,4,2] => [5,6,3,1,4,2] => [[1,2],[3,4],[5,6]]
[5,6,3,2,1,4] => [5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]]
[5,6,3,2,4,1] => [5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]]
[5,6,3,4,1,2] => [5,6,3,4,1,2] => [[1,2],[3,4],[5,6]]
[5,6,3,4,2,1] => [5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]]
[5,6,4,1,2,3] => [5,6,4,1,2,3] => [[1,2,3],[4,6],[5]]
[5,6,4,1,3,2] => [5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]]
[5,6,4,2,1,3] => [5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]]
[5,6,4,2,3,1] => [5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]]
[5,6,4,3,1,2] => [5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]]
[5,6,4,3,2,1] => [5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]]
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [[1,2,3,4,5],[6]]
[6,1,2,3,5,4] => [6,1,2,3,5,4] => [[1,2,3,4],[5],[6]]
[6,1,2,4,3,5] => [6,1,2,4,3,5] => [[1,2,3,5],[4],[6]]
[6,1,2,4,5,3] => [6,1,2,4,5,3] => [[1,2,3,5],[4],[6]]
[6,1,2,5,3,4] => [6,1,2,5,3,4] => [[1,2,3,4],[5],[6]]
[6,1,2,5,4,3] => [6,1,2,5,4,3] => [[1,2,3],[4],[5],[6]]
[6,1,3,2,4,5] => [6,1,3,2,4,5] => [[1,2,4,5],[3],[6]]
[6,1,3,2,5,4] => [6,1,3,2,5,4] => [[1,2,4],[3,5],[6]]
[6,1,3,4,2,5] => [6,1,3,4,2,5] => [[1,2,4,5],[3],[6]]
[6,1,3,4,5,2] => [6,1,3,4,5,2] => [[1,2,4,5],[3],[6]]
[6,1,3,5,2,4] => [6,1,3,5,2,4] => [[1,2,4],[3,5],[6]]
[6,1,3,5,4,2] => [6,1,3,5,4,2] => [[1,2,4],[3],[5],[6]]
[6,1,4,2,3,5] => [6,1,4,2,3,5] => [[1,2,3,5],[4],[6]]
[6,1,4,2,5,3] => [6,1,4,2,5,3] => [[1,2,3],[4,5],[6]]
[6,1,4,3,2,5] => [6,1,4,3,2,5] => [[1,2,5],[3],[4],[6]]
[6,1,4,3,5,2] => [6,1,4,3,5,2] => [[1,2,5],[3],[4],[6]]
[6,1,4,5,2,3] => [6,1,4,5,2,3] => [[1,2,3],[4,5],[6]]
[6,1,4,5,3,2] => [6,1,4,5,3,2] => [[1,2,5],[3],[4],[6]]
[6,1,5,2,3,4] => [6,1,5,2,3,4] => [[1,2,3,4],[5],[6]]
[6,1,5,2,4,3] => [6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]]
[6,1,5,3,2,4] => [6,1,5,3,2,4] => [[1,2,4],[3],[5],[6]]
[6,1,5,3,4,2] => [6,1,5,3,4,2] => [[1,2,4],[3],[5],[6]]
[6,1,5,4,2,3] => [6,1,5,4,2,3] => [[1,2,3],[4],[5],[6]]
[6,1,5,4,3,2] => [6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]]
[6,2,1,3,4,5] => [6,2,1,3,4,5] => [[1,3,4,5],[2],[6]]
[6,2,1,3,5,4] => [6,2,1,3,5,4] => [[1,3,4],[2,5],[6]]
[6,2,1,4,3,5] => [6,2,1,4,3,5] => [[1,3,5],[2,4],[6]]
[6,2,1,4,5,3] => [6,2,1,4,5,3] => [[1,3,5],[2,4],[6]]
[6,2,1,5,3,4] => [6,2,1,5,3,4] => [[1,3,4],[2,5],[6]]
[6,2,1,5,4,3] => [6,2,1,5,4,3] => [[1,3],[2,4],[5],[6]]
[6,2,3,1,4,5] => [6,2,3,1,4,5] => [[1,3,4,5],[2],[6]]
[6,2,3,1,5,4] => [6,2,3,1,5,4] => [[1,3,4],[2,5],[6]]
[6,2,3,4,1,5] => [6,2,3,4,1,5] => [[1,3,4,5],[2],[6]]
[6,2,3,4,5,1] => [6,2,3,4,5,1] => [[1,3,4,5],[2],[6]]
[6,2,3,5,1,4] => [6,2,3,5,1,4] => [[1,3,4],[2,5],[6]]
[6,2,3,5,4,1] => [6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]]
[6,2,4,1,3,5] => [6,2,4,1,3,5] => [[1,3,5],[2,4],[6]]
[6,2,4,1,5,3] => [6,2,4,1,5,3] => [[1,3,5],[2,4],[6]]
[6,2,4,3,1,5] => [6,2,4,3,1,5] => [[1,3,5],[2],[4],[6]]
[6,2,4,3,5,1] => [6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]]
[6,2,4,5,1,3] => [6,2,4,5,1,3] => [[1,3,5],[2,4],[6]]
[6,2,4,5,3,1] => [6,2,4,5,3,1] => [[1,3,5],[2],[4],[6]]
[6,2,5,1,3,4] => [6,2,5,1,3,4] => [[1,3,4],[2,5],[6]]
[6,2,5,1,4,3] => [6,2,5,1,4,3] => [[1,3],[2,4],[5],[6]]
[6,2,5,3,1,4] => [6,2,5,3,1,4] => [[1,3,4],[2],[5],[6]]
[6,2,5,3,4,1] => [6,2,5,3,4,1] => [[1,3,4],[2],[5],[6]]
[6,2,5,4,1,3] => [6,2,5,4,1,3] => [[1,3],[2,4],[5],[6]]
[6,2,5,4,3,1] => [6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]]
[6,3,1,2,4,5] => [6,3,1,2,4,5] => [[1,2,4,5],[3],[6]]
[6,3,1,2,5,4] => [6,3,1,2,5,4] => [[1,2,4],[3,5],[6]]
[6,3,1,4,2,5] => [6,3,1,4,2,5] => [[1,2,5],[3,4],[6]]
[6,3,1,4,5,2] => [6,3,1,4,5,2] => [[1,2,5],[3,4],[6]]
[6,3,1,5,2,4] => [6,3,1,5,2,4] => [[1,2,4],[3,5],[6]]
[6,3,1,5,4,2] => [6,3,1,5,4,2] => [[1,2],[3,4],[5],[6]]
[6,3,2,1,4,5] => [6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]]
[6,3,2,1,5,4] => [6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]]
[6,3,2,4,1,5] => [6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]]
[6,3,2,4,5,1] => [6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]]
[6,3,2,5,1,4] => [6,3,2,5,1,4] => [[1,4],[2,5],[3],[6]]
[6,3,2,5,4,1] => [6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]]
[6,3,4,1,2,5] => [6,3,4,1,2,5] => [[1,2,5],[3,4],[6]]
[6,3,4,1,5,2] => [6,3,4,1,5,2] => [[1,2,5],[3,4],[6]]
[6,3,4,2,1,5] => [6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]]
[6,3,4,2,5,1] => [6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]]
[6,3,4,5,1,2] => [6,3,4,5,1,2] => [[1,2,5],[3,4],[6]]
[6,3,4,5,2,1] => [6,3,4,5,2,1] => [[1,4,5],[2],[3],[6]]
[6,3,5,1,2,4] => [6,3,5,1,2,4] => [[1,2,4],[3,5],[6]]
[6,3,5,1,4,2] => [6,3,5,1,4,2] => [[1,2],[3,4],[5],[6]]
[6,3,5,2,1,4] => [6,3,5,2,1,4] => [[1,4],[2,5],[3],[6]]
[6,3,5,2,4,1] => [6,3,5,2,4,1] => [[1,4],[2,5],[3],[6]]
[6,3,5,4,1,2] => [6,3,5,4,1,2] => [[1,2],[3,4],[5],[6]]
[6,3,5,4,2,1] => [6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]]
[6,4,1,2,3,5] => [6,4,1,2,3,5] => [[1,2,3,5],[4],[6]]
[6,4,1,2,5,3] => [6,4,1,2,5,3] => [[1,2,3],[4,5],[6]]
[6,4,1,3,2,5] => [6,4,1,3,2,5] => [[1,2,5],[3],[4],[6]]
[6,4,1,3,5,2] => [6,4,1,3,5,2] => [[1,2,5],[3],[4],[6]]
[6,4,1,5,2,3] => [6,4,1,5,2,3] => [[1,2,3],[4,5],[6]]
[6,4,1,5,3,2] => [6,4,1,5,3,2] => [[1,2],[3,5],[4],[6]]
[6,4,2,1,3,5] => [6,4,2,1,3,5] => [[1,3,5],[2],[4],[6]]
[6,4,2,1,5,3] => [6,4,2,1,5,3] => [[1,3],[2,5],[4],[6]]
[6,4,2,3,1,5] => [6,4,2,3,1,5] => [[1,3,5],[2],[4],[6]]
[6,4,2,3,5,1] => [6,4,2,3,5,1] => [[1,3,5],[2],[4],[6]]
[6,4,2,5,1,3] => [6,4,2,5,1,3] => [[1,3],[2,5],[4],[6]]
[6,4,2,5,3,1] => [6,4,2,5,3,1] => [[1,3],[2,5],[4],[6]]
[6,4,3,1,2,5] => [6,4,3,1,2,5] => [[1,2,5],[3],[4],[6]]
[6,4,3,1,5,2] => [6,4,3,1,5,2] => [[1,2],[3,5],[4],[6]]
[6,4,3,2,1,5] => [6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]]
[6,4,3,2,5,1] => [6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]]
[6,4,3,5,1,2] => [6,4,3,5,1,2] => [[1,2],[3,5],[4],[6]]
[6,4,3,5,2,1] => [6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]]
[6,4,5,1,2,3] => [6,4,5,1,2,3] => [[1,2,3],[4,5],[6]]
[6,4,5,1,3,2] => [6,4,5,1,3,2] => [[1,2],[3,5],[4],[6]]
[6,4,5,2,1,3] => [6,4,5,2,1,3] => [[1,3],[2,5],[4],[6]]
[6,4,5,2,3,1] => [6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]]
[6,4,5,3,1,2] => [6,4,5,3,1,2] => [[1,2],[3,5],[4],[6]]
[6,4,5,3,2,1] => [6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6]]
[6,5,1,2,3,4] => [6,5,1,2,3,4] => [[1,2,3,4],[5],[6]]
[6,5,1,2,4,3] => [6,5,1,2,4,3] => [[1,2,3],[4],[5],[6]]
[6,5,1,3,2,4] => [6,5,1,3,2,4] => [[1,2,4],[3],[5],[6]]
[6,5,1,3,4,2] => [6,5,1,3,4,2] => [[1,2,4],[3],[5],[6]]
[6,5,1,4,2,3] => [6,5,1,4,2,3] => [[1,2,3],[4],[5],[6]]
[6,5,1,4,3,2] => [6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6]]
[6,5,2,1,3,4] => [6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]]
[6,5,2,1,4,3] => [6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]]
[6,5,2,3,1,4] => [6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]]
[6,5,2,3,4,1] => [6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]]
[6,5,2,4,1,3] => [6,5,2,4,1,3] => [[1,3],[2,4],[5],[6]]
[6,5,2,4,3,1] => [6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]]
[6,5,3,1,2,4] => [6,5,3,1,2,4] => [[1,2,4],[3],[5],[6]]
[6,5,3,1,4,2] => [6,5,3,1,4,2] => [[1,2],[3,4],[5],[6]]
[6,5,3,2,1,4] => [6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]]
[6,5,3,2,4,1] => [6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]]
[6,5,3,4,1,2] => [6,5,3,4,1,2] => [[1,2],[3,4],[5],[6]]
[6,5,3,4,2,1] => [6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]]
[6,5,4,1,2,3] => [6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]]
[6,5,4,1,3,2] => [6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]]
[6,5,4,2,1,3] => [6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]]
[6,5,4,2,3,1] => [6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]]
[6,5,4,3,1,2] => [6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]]
[6,5,4,3,2,1] => [6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]]
Map
parking function
Description
Interpret the permutation as a parking function.
Map
insertion tableau
Description
The insertion tableau obtained by applying RSK to the parking function regarded as a word.
searching the database
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