Identifier
Identifier
Mp00059: Permutations Robinson-Schensted insertion tableau
Images
[1] => [[1]]
[1,2] => [[1,2]]
[2,1] => [[1],[2]]
[1,2,3] => [[1,2,3]]
[1,3,2] => [[1,2],[3]]
[2,1,3] => [[1,3],[2]]
[2,3,1] => [[1,3],[2]]
[3,1,2] => [[1,2],[3]]
[3,2,1] => [[1],[2],[3]]
[1,2,3,4] => [[1,2,3,4]]
[1,2,4,3] => [[1,2,3],[4]]
[1,3,2,4] => [[1,2,4],[3]]
[1,3,4,2] => [[1,2,4],[3]]
[1,4,2,3] => [[1,2,3],[4]]
[1,4,3,2] => [[1,2],[3],[4]]
[2,1,3,4] => [[1,3,4],[2]]
[2,1,4,3] => [[1,3],[2,4]]
[2,3,1,4] => [[1,3,4],[2]]
[2,3,4,1] => [[1,3,4],[2]]
[2,4,1,3] => [[1,3],[2,4]]
[2,4,3,1] => [[1,3],[2],[4]]
[3,1,2,4] => [[1,2,4],[3]]
[3,1,4,2] => [[1,2],[3,4]]
[3,2,1,4] => [[1,4],[2],[3]]
[3,2,4,1] => [[1,4],[2],[3]]
[3,4,1,2] => [[1,2],[3,4]]
[3,4,2,1] => [[1,4],[2],[3]]
[4,1,2,3] => [[1,2,3],[4]]
[4,1,3,2] => [[1,2],[3],[4]]
[4,2,1,3] => [[1,3],[2],[4]]
[4,2,3,1] => [[1,3],[2],[4]]
[4,3,1,2] => [[1,2],[3],[4]]
[4,3,2,1] => [[1],[2],[3],[4]]
[1,2,3,4,5] => [[1,2,3,4,5]]
[1,2,3,5,4] => [[1,2,3,4],[5]]
[1,2,4,3,5] => [[1,2,3,5],[4]]
[1,2,4,5,3] => [[1,2,3,5],[4]]
[1,2,5,3,4] => [[1,2,3,4],[5]]
[1,2,5,4,3] => [[1,2,3],[4],[5]]
[1,3,2,4,5] => [[1,2,4,5],[3]]
[1,3,2,5,4] => [[1,2,4],[3,5]]
[1,3,4,2,5] => [[1,2,4,5],[3]]
[1,3,4,5,2] => [[1,2,4,5],[3]]
[1,3,5,2,4] => [[1,2,4],[3,5]]
[1,3,5,4,2] => [[1,2,4],[3],[5]]
[1,4,2,3,5] => [[1,2,3,5],[4]]
[1,4,2,5,3] => [[1,2,3],[4,5]]
[1,4,3,2,5] => [[1,2,5],[3],[4]]
[1,4,3,5,2] => [[1,2,5],[3],[4]]
[1,4,5,2,3] => [[1,2,3],[4,5]]
[1,4,5,3,2] => [[1,2,5],[3],[4]]
[1,5,2,3,4] => [[1,2,3,4],[5]]
[1,5,2,4,3] => [[1,2,3],[4],[5]]
[1,5,3,2,4] => [[1,2,4],[3],[5]]
[1,5,3,4,2] => [[1,2,4],[3],[5]]
[1,5,4,2,3] => [[1,2,3],[4],[5]]
[1,5,4,3,2] => [[1,2],[3],[4],[5]]
[2,1,3,4,5] => [[1,3,4,5],[2]]
[2,1,3,5,4] => [[1,3,4],[2,5]]
[2,1,4,3,5] => [[1,3,5],[2,4]]
[2,1,4,5,3] => [[1,3,5],[2,4]]
[2,1,5,3,4] => [[1,3,4],[2,5]]
[2,1,5,4,3] => [[1,3],[2,4],[5]]
[2,3,1,4,5] => [[1,3,4,5],[2]]
[2,3,1,5,4] => [[1,3,4],[2,5]]
[2,3,4,1,5] => [[1,3,4,5],[2]]
[2,3,4,5,1] => [[1,3,4,5],[2]]
[2,3,5,1,4] => [[1,3,4],[2,5]]
[2,3,5,4,1] => [[1,3,4],[2],[5]]
[2,4,1,3,5] => [[1,3,5],[2,4]]
[2,4,1,5,3] => [[1,3,5],[2,4]]
[2,4,3,1,5] => [[1,3,5],[2],[4]]
[2,4,3,5,1] => [[1,3,5],[2],[4]]
[2,4,5,1,3] => [[1,3,5],[2,4]]
[2,4,5,3,1] => [[1,3,5],[2],[4]]
[2,5,1,3,4] => [[1,3,4],[2,5]]
[2,5,1,4,3] => [[1,3],[2,4],[5]]
[2,5,3,1,4] => [[1,3,4],[2],[5]]
[2,5,3,4,1] => [[1,3,4],[2],[5]]
[2,5,4,1,3] => [[1,3],[2,4],[5]]
[2,5,4,3,1] => [[1,3],[2],[4],[5]]
[3,1,2,4,5] => [[1,2,4,5],[3]]
[3,1,2,5,4] => [[1,2,4],[3,5]]
[3,1,4,2,5] => [[1,2,5],[3,4]]
[3,1,4,5,2] => [[1,2,5],[3,4]]
[3,1,5,2,4] => [[1,2,4],[3,5]]
[3,1,5,4,2] => [[1,2],[3,4],[5]]
[3,2,1,4,5] => [[1,4,5],[2],[3]]
[3,2,1,5,4] => [[1,4],[2,5],[3]]
[3,2,4,1,5] => [[1,4,5],[2],[3]]
[3,2,4,5,1] => [[1,4,5],[2],[3]]
[3,2,5,1,4] => [[1,4],[2,5],[3]]
[3,2,5,4,1] => [[1,4],[2,5],[3]]
[3,4,1,2,5] => [[1,2,5],[3,4]]
[3,4,1,5,2] => [[1,2,5],[3,4]]
[3,4,2,1,5] => [[1,4,5],[2],[3]]
[3,4,2,5,1] => [[1,4,5],[2],[3]]
[3,4,5,1,2] => [[1,2,5],[3,4]]
[3,4,5,2,1] => [[1,4,5],[2],[3]]
[3,5,1,2,4] => [[1,2,4],[3,5]]
[3,5,1,4,2] => [[1,2],[3,4],[5]]
[3,5,2,1,4] => [[1,4],[2,5],[3]]
[3,5,2,4,1] => [[1,4],[2,5],[3]]
[3,5,4,1,2] => [[1,2],[3,4],[5]]
[3,5,4,2,1] => [[1,4],[2],[3],[5]]
[4,1,2,3,5] => [[1,2,3,5],[4]]
[4,1,2,5,3] => [[1,2,3],[4,5]]
[4,1,3,2,5] => [[1,2,5],[3],[4]]
[4,1,3,5,2] => [[1,2,5],[3],[4]]
[4,1,5,2,3] => [[1,2,3],[4,5]]
[4,1,5,3,2] => [[1,2],[3,5],[4]]
[4,2,1,3,5] => [[1,3,5],[2],[4]]
[4,2,1,5,3] => [[1,3],[2,5],[4]]
[4,2,3,1,5] => [[1,3,5],[2],[4]]
[4,2,3,5,1] => [[1,3,5],[2],[4]]
[4,2,5,1,3] => [[1,3],[2,5],[4]]
[4,2,5,3,1] => [[1,3],[2,5],[4]]
[4,3,1,2,5] => [[1,2,5],[3],[4]]
[4,3,1,5,2] => [[1,2],[3,5],[4]]
[4,3,2,1,5] => [[1,5],[2],[3],[4]]
[4,3,2,5,1] => [[1,5],[2],[3],[4]]
[4,3,5,1,2] => [[1,2],[3,5],[4]]
[4,3,5,2,1] => [[1,5],[2],[3],[4]]
[4,5,1,2,3] => [[1,2,3],[4,5]]
[4,5,1,3,2] => [[1,2],[3,5],[4]]
[4,5,2,1,3] => [[1,3],[2,5],[4]]
[4,5,2,3,1] => [[1,3],[2,5],[4]]
[4,5,3,1,2] => [[1,2],[3,5],[4]]
[4,5,3,2,1] => [[1,5],[2],[3],[4]]
[5,1,2,3,4] => [[1,2,3,4],[5]]
[5,1,2,4,3] => [[1,2,3],[4],[5]]
[5,1,3,2,4] => [[1,2,4],[3],[5]]
[5,1,3,4,2] => [[1,2,4],[3],[5]]
[5,1,4,2,3] => [[1,2,3],[4],[5]]
[5,1,4,3,2] => [[1,2],[3],[4],[5]]
[5,2,1,3,4] => [[1,3,4],[2],[5]]
[5,2,1,4,3] => [[1,3],[2,4],[5]]
[5,2,3,1,4] => [[1,3,4],[2],[5]]
[5,2,3,4,1] => [[1,3,4],[2],[5]]
[5,2,4,1,3] => [[1,3],[2,4],[5]]
[5,2,4,3,1] => [[1,3],[2],[4],[5]]
[5,3,1,2,4] => [[1,2,4],[3],[5]]
[5,3,1,4,2] => [[1,2],[3,4],[5]]
[5,3,2,1,4] => [[1,4],[2],[3],[5]]
[5,3,2,4,1] => [[1,4],[2],[3],[5]]
[5,3,4,1,2] => [[1,2],[3,4],[5]]
[5,3,4,2,1] => [[1,4],[2],[3],[5]]
[5,4,1,2,3] => [[1,2,3],[4],[5]]
[5,4,1,3,2] => [[1,2],[3],[4],[5]]
[5,4,2,1,3] => [[1,3],[2],[4],[5]]
[5,4,2,3,1] => [[1,3],[2],[4],[5]]
[5,4,3,1,2] => [[1,2],[3],[4],[5]]
[5,4,3,2,1] => [[1],[2],[3],[4],[5]]
[1,2,3,4,5,6] => [[1,2,3,4,5,6]]
[1,2,3,4,6,5] => [[1,2,3,4,5],[6]]
[1,2,3,5,4,6] => [[1,2,3,4,6],[5]]
[1,2,3,5,6,4] => [[1,2,3,4,6],[5]]
[1,2,3,6,4,5] => [[1,2,3,4,5],[6]]
[1,2,3,6,5,4] => [[1,2,3,4],[5],[6]]
[1,2,4,3,5,6] => [[1,2,3,5,6],[4]]
[1,2,4,3,6,5] => [[1,2,3,5],[4,6]]
[1,2,4,5,3,6] => [[1,2,3,5,6],[4]]
[1,2,4,5,6,3] => [[1,2,3,5,6],[4]]
[1,2,4,6,3,5] => [[1,2,3,5],[4,6]]
[1,2,4,6,5,3] => [[1,2,3,5],[4],[6]]
[1,2,5,3,4,6] => [[1,2,3,4,6],[5]]
[1,2,5,3,6,4] => [[1,2,3,4],[5,6]]
[1,2,5,4,3,6] => [[1,2,3,6],[4],[5]]
[1,2,5,4,6,3] => [[1,2,3,6],[4],[5]]
[1,2,5,6,3,4] => [[1,2,3,4],[5,6]]
[1,2,5,6,4,3] => [[1,2,3,6],[4],[5]]
[1,2,6,3,4,5] => [[1,2,3,4,5],[6]]
[1,2,6,3,5,4] => [[1,2,3,4],[5],[6]]
[1,2,6,4,3,5] => [[1,2,3,5],[4],[6]]
[1,2,6,4,5,3] => [[1,2,3,5],[4],[6]]
[1,2,6,5,3,4] => [[1,2,3,4],[5],[6]]
[1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]]
[1,3,2,4,5,6] => [[1,2,4,5,6],[3]]
[1,3,2,4,6,5] => [[1,2,4,5],[3,6]]
[1,3,2,5,4,6] => [[1,2,4,6],[3,5]]
[1,3,2,5,6,4] => [[1,2,4,6],[3,5]]
[1,3,2,6,4,5] => [[1,2,4,5],[3,6]]
[1,3,2,6,5,4] => [[1,2,4],[3,5],[6]]
[1,3,4,2,5,6] => [[1,2,4,5,6],[3]]
[1,3,4,2,6,5] => [[1,2,4,5],[3,6]]
[1,3,4,5,2,6] => [[1,2,4,5,6],[3]]
[1,3,4,5,6,2] => [[1,2,4,5,6],[3]]
[1,3,4,6,2,5] => [[1,2,4,5],[3,6]]
[1,3,4,6,5,2] => [[1,2,4,5],[3],[6]]
[1,3,5,2,4,6] => [[1,2,4,6],[3,5]]
[1,3,5,2,6,4] => [[1,2,4,6],[3,5]]
[1,3,5,4,2,6] => [[1,2,4,6],[3],[5]]
[1,3,5,4,6,2] => [[1,2,4,6],[3],[5]]
[1,3,5,6,2,4] => [[1,2,4,6],[3,5]]
[1,3,5,6,4,2] => [[1,2,4,6],[3],[5]]
[1,3,6,2,4,5] => [[1,2,4,5],[3,6]]
[1,3,6,2,5,4] => [[1,2,4],[3,5],[6]]
[1,3,6,4,2,5] => [[1,2,4,5],[3],[6]]
[1,3,6,4,5,2] => [[1,2,4,5],[3],[6]]
[1,3,6,5,2,4] => [[1,2,4],[3,5],[6]]
[1,3,6,5,4,2] => [[1,2,4],[3],[5],[6]]
[1,4,2,3,5,6] => [[1,2,3,5,6],[4]]
[1,4,2,3,6,5] => [[1,2,3,5],[4,6]]
[1,4,2,5,3,6] => [[1,2,3,6],[4,5]]
[1,4,2,5,6,3] => [[1,2,3,6],[4,5]]
[1,4,2,6,3,5] => [[1,2,3,5],[4,6]]
[1,4,2,6,5,3] => [[1,2,3],[4,5],[6]]
[1,4,3,2,5,6] => [[1,2,5,6],[3],[4]]
[1,4,3,2,6,5] => [[1,2,5],[3,6],[4]]
[1,4,3,5,2,6] => [[1,2,5,6],[3],[4]]
[1,4,3,5,6,2] => [[1,2,5,6],[3],[4]]
[1,4,3,6,2,5] => [[1,2,5],[3,6],[4]]
[1,4,3,6,5,2] => [[1,2,5],[3,6],[4]]
[1,4,5,2,3,6] => [[1,2,3,6],[4,5]]
[1,4,5,2,6,3] => [[1,2,3,6],[4,5]]
[1,4,5,3,2,6] => [[1,2,5,6],[3],[4]]
[1,4,5,3,6,2] => [[1,2,5,6],[3],[4]]
[1,4,5,6,2,3] => [[1,2,3,6],[4,5]]
[1,4,5,6,3,2] => [[1,2,5,6],[3],[4]]
[1,4,6,2,3,5] => [[1,2,3,5],[4,6]]
[1,4,6,2,5,3] => [[1,2,3],[4,5],[6]]
[1,4,6,3,2,5] => [[1,2,5],[3,6],[4]]
[1,4,6,3,5,2] => [[1,2,5],[3,6],[4]]
[1,4,6,5,2,3] => [[1,2,3],[4,5],[6]]
[1,4,6,5,3,2] => [[1,2,5],[3],[4],[6]]
[1,5,2,3,4,6] => [[1,2,3,4,6],[5]]
[1,5,2,3,6,4] => [[1,2,3,4],[5,6]]
[1,5,2,4,3,6] => [[1,2,3,6],[4],[5]]
[1,5,2,4,6,3] => [[1,2,3,6],[4],[5]]
[1,5,2,6,3,4] => [[1,2,3,4],[5,6]]
[1,5,2,6,4,3] => [[1,2,3],[4,6],[5]]
[1,5,3,2,4,6] => [[1,2,4,6],[3],[5]]
[1,5,3,2,6,4] => [[1,2,4],[3,6],[5]]
[1,5,3,4,2,6] => [[1,2,4,6],[3],[5]]
[1,5,3,4,6,2] => [[1,2,4,6],[3],[5]]
[1,5,3,6,2,4] => [[1,2,4],[3,6],[5]]
[1,5,3,6,4,2] => [[1,2,4],[3,6],[5]]
[1,5,4,2,3,6] => [[1,2,3,6],[4],[5]]
[1,5,4,2,6,3] => [[1,2,3],[4,6],[5]]
[1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]]
[1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]]
[1,5,4,6,2,3] => [[1,2,3],[4,6],[5]]
[1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]]
[1,5,6,2,3,4] => [[1,2,3,4],[5,6]]
[1,5,6,2,4,3] => [[1,2,3],[4,6],[5]]
[1,5,6,3,2,4] => [[1,2,4],[3,6],[5]]
[1,5,6,3,4,2] => [[1,2,4],[3,6],[5]]
[1,5,6,4,2,3] => [[1,2,3],[4,6],[5]]
[1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]]
[1,6,2,3,4,5] => [[1,2,3,4,5],[6]]
[1,6,2,3,5,4] => [[1,2,3,4],[5],[6]]
[1,6,2,4,3,5] => [[1,2,3,5],[4],[6]]
[1,6,2,4,5,3] => [[1,2,3,5],[4],[6]]
[1,6,2,5,3,4] => [[1,2,3,4],[5],[6]]
[1,6,2,5,4,3] => [[1,2,3],[4],[5],[6]]
[1,6,3,2,4,5] => [[1,2,4,5],[3],[6]]
[1,6,3,2,5,4] => [[1,2,4],[3,5],[6]]
[1,6,3,4,2,5] => [[1,2,4,5],[3],[6]]
[1,6,3,4,5,2] => [[1,2,4,5],[3],[6]]
[1,6,3,5,2,4] => [[1,2,4],[3,5],[6]]
[1,6,3,5,4,2] => [[1,2,4],[3],[5],[6]]
[1,6,4,2,3,5] => [[1,2,3,5],[4],[6]]
[1,6,4,2,5,3] => [[1,2,3],[4,5],[6]]
[1,6,4,3,2,5] => [[1,2,5],[3],[4],[6]]
[1,6,4,3,5,2] => [[1,2,5],[3],[4],[6]]
[1,6,4,5,2,3] => [[1,2,3],[4,5],[6]]
[1,6,4,5,3,2] => [[1,2,5],[3],[4],[6]]
[1,6,5,2,3,4] => [[1,2,3,4],[5],[6]]
[1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]]
[1,6,5,3,2,4] => [[1,2,4],[3],[5],[6]]
[1,6,5,3,4,2] => [[1,2,4],[3],[5],[6]]
[1,6,5,4,2,3] => [[1,2,3],[4],[5],[6]]
[1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]]
[2,1,3,4,5,6] => [[1,3,4,5,6],[2]]
[2,1,3,4,6,5] => [[1,3,4,5],[2,6]]
[2,1,3,5,4,6] => [[1,3,4,6],[2,5]]
[2,1,3,5,6,4] => [[1,3,4,6],[2,5]]
[2,1,3,6,4,5] => [[1,3,4,5],[2,6]]
[2,1,3,6,5,4] => [[1,3,4],[2,5],[6]]
[2,1,4,3,5,6] => [[1,3,5,6],[2,4]]
[2,1,4,3,6,5] => [[1,3,5],[2,4,6]]
[2,1,4,5,3,6] => [[1,3,5,6],[2,4]]
[2,1,4,5,6,3] => [[1,3,5,6],[2,4]]
[2,1,4,6,3,5] => [[1,3,5],[2,4,6]]
[2,1,4,6,5,3] => [[1,3,5],[2,4],[6]]
[2,1,5,3,4,6] => [[1,3,4,6],[2,5]]
[2,1,5,3,6,4] => [[1,3,4],[2,5,6]]
[2,1,5,4,3,6] => [[1,3,6],[2,4],[5]]
[2,1,5,4,6,3] => [[1,3,6],[2,4],[5]]
[2,1,5,6,3,4] => [[1,3,4],[2,5,6]]
[2,1,5,6,4,3] => [[1,3,6],[2,4],[5]]
[2,1,6,3,4,5] => [[1,3,4,5],[2,6]]
[2,1,6,3,5,4] => [[1,3,4],[2,5],[6]]
[2,1,6,4,3,5] => [[1,3,5],[2,4],[6]]
[2,1,6,4,5,3] => [[1,3,5],[2,4],[6]]
[2,1,6,5,3,4] => [[1,3,4],[2,5],[6]]
[2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]]
[2,3,1,4,5,6] => [[1,3,4,5,6],[2]]
[2,3,1,4,6,5] => [[1,3,4,5],[2,6]]
[2,3,1,5,4,6] => [[1,3,4,6],[2,5]]
[2,3,1,5,6,4] => [[1,3,4,6],[2,5]]
[2,3,1,6,4,5] => [[1,3,4,5],[2,6]]
[2,3,1,6,5,4] => [[1,3,4],[2,5],[6]]
[2,3,4,1,5,6] => [[1,3,4,5,6],[2]]
[2,3,4,1,6,5] => [[1,3,4,5],[2,6]]
[2,3,4,5,1,6] => [[1,3,4,5,6],[2]]
[2,3,4,5,6,1] => [[1,3,4,5,6],[2]]
[2,3,4,6,1,5] => [[1,3,4,5],[2,6]]
[2,3,4,6,5,1] => [[1,3,4,5],[2],[6]]
[2,3,5,1,4,6] => [[1,3,4,6],[2,5]]
[2,3,5,1,6,4] => [[1,3,4,6],[2,5]]
[2,3,5,4,1,6] => [[1,3,4,6],[2],[5]]
[2,3,5,4,6,1] => [[1,3,4,6],[2],[5]]
[2,3,5,6,1,4] => [[1,3,4,6],[2,5]]
[2,3,5,6,4,1] => [[1,3,4,6],[2],[5]]
[2,3,6,1,4,5] => [[1,3,4,5],[2,6]]
[2,3,6,1,5,4] => [[1,3,4],[2,5],[6]]
[2,3,6,4,1,5] => [[1,3,4,5],[2],[6]]
[2,3,6,4,5,1] => [[1,3,4,5],[2],[6]]
[2,3,6,5,1,4] => [[1,3,4],[2,5],[6]]
[2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]]
[2,4,1,3,5,6] => [[1,3,5,6],[2,4]]
[2,4,1,3,6,5] => [[1,3,5],[2,4,6]]
[2,4,1,5,3,6] => [[1,3,5,6],[2,4]]
[2,4,1,5,6,3] => [[1,3,5,6],[2,4]]
[2,4,1,6,3,5] => [[1,3,5],[2,4,6]]
[2,4,1,6,5,3] => [[1,3,5],[2,4],[6]]
[2,4,3,1,5,6] => [[1,3,5,6],[2],[4]]
[2,4,3,1,6,5] => [[1,3,5],[2,6],[4]]
[2,4,3,5,1,6] => [[1,3,5,6],[2],[4]]
[2,4,3,5,6,1] => [[1,3,5,6],[2],[4]]
[2,4,3,6,1,5] => [[1,3,5],[2,6],[4]]
[2,4,3,6,5,1] => [[1,3,5],[2,6],[4]]
[2,4,5,1,3,6] => [[1,3,5,6],[2,4]]
[2,4,5,1,6,3] => [[1,3,5,6],[2,4]]
[2,4,5,3,1,6] => [[1,3,5,6],[2],[4]]
[2,4,5,3,6,1] => [[1,3,5,6],[2],[4]]
[2,4,5,6,1,3] => [[1,3,5,6],[2,4]]
[2,4,5,6,3,1] => [[1,3,5,6],[2],[4]]
[2,4,6,1,3,5] => [[1,3,5],[2,4,6]]
[2,4,6,1,5,3] => [[1,3,5],[2,4],[6]]
[2,4,6,3,1,5] => [[1,3,5],[2,6],[4]]
[2,4,6,3,5,1] => [[1,3,5],[2,6],[4]]
[2,4,6,5,1,3] => [[1,3,5],[2,4],[6]]
[2,4,6,5,3,1] => [[1,3,5],[2],[4],[6]]
[2,5,1,3,4,6] => [[1,3,4,6],[2,5]]
[2,5,1,3,6,4] => [[1,3,4],[2,5,6]]
[2,5,1,4,3,6] => [[1,3,6],[2,4],[5]]
[2,5,1,4,6,3] => [[1,3,6],[2,4],[5]]
[2,5,1,6,3,4] => [[1,3,4],[2,5,6]]
[2,5,1,6,4,3] => [[1,3,6],[2,4],[5]]
[2,5,3,1,4,6] => [[1,3,4,6],[2],[5]]
[2,5,3,1,6,4] => [[1,3,4],[2,6],[5]]
[2,5,3,4,1,6] => [[1,3,4,6],[2],[5]]
[2,5,3,4,6,1] => [[1,3,4,6],[2],[5]]
[2,5,3,6,1,4] => [[1,3,4],[2,6],[5]]
[2,5,3,6,4,1] => [[1,3,4],[2,6],[5]]
[2,5,4,1,3,6] => [[1,3,6],[2,4],[5]]
[2,5,4,1,6,3] => [[1,3,6],[2,4],[5]]
[2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]]
[2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]]
[2,5,4,6,1,3] => [[1,3,6],[2,4],[5]]
[2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]]
[2,5,6,1,3,4] => [[1,3,4],[2,5,6]]
[2,5,6,1,4,3] => [[1,3,6],[2,4],[5]]
[2,5,6,3,1,4] => [[1,3,4],[2,6],[5]]
[2,5,6,3,4,1] => [[1,3,4],[2,6],[5]]
[2,5,6,4,1,3] => [[1,3,6],[2,4],[5]]
[2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]]
[2,6,1,3,4,5] => [[1,3,4,5],[2,6]]
[2,6,1,3,5,4] => [[1,3,4],[2,5],[6]]
[2,6,1,4,3,5] => [[1,3,5],[2,4],[6]]
[2,6,1,4,5,3] => [[1,3,5],[2,4],[6]]
[2,6,1,5,3,4] => [[1,3,4],[2,5],[6]]
[2,6,1,5,4,3] => [[1,3],[2,4],[5],[6]]
[2,6,3,1,4,5] => [[1,3,4,5],[2],[6]]
[2,6,3,1,5,4] => [[1,3,4],[2,5],[6]]
[2,6,3,4,1,5] => [[1,3,4,5],[2],[6]]
[2,6,3,4,5,1] => [[1,3,4,5],[2],[6]]
[2,6,3,5,1,4] => [[1,3,4],[2,5],[6]]
[2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]]
[2,6,4,1,3,5] => [[1,3,5],[2,4],[6]]
[2,6,4,1,5,3] => [[1,3,5],[2,4],[6]]
[2,6,4,3,1,5] => [[1,3,5],[2],[4],[6]]
[2,6,4,3,5,1] => [[1,3,5],[2],[4],[6]]
[2,6,4,5,1,3] => [[1,3,5],[2,4],[6]]
[2,6,4,5,3,1] => [[1,3,5],[2],[4],[6]]
[2,6,5,1,3,4] => [[1,3,4],[2,5],[6]]
[2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]]
[2,6,5,3,1,4] => [[1,3,4],[2],[5],[6]]
[2,6,5,3,4,1] => [[1,3,4],[2],[5],[6]]
[2,6,5,4,1,3] => [[1,3],[2,4],[5],[6]]
[2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]]
[3,1,2,4,5,6] => [[1,2,4,5,6],[3]]
[3,1,2,4,6,5] => [[1,2,4,5],[3,6]]
[3,1,2,5,4,6] => [[1,2,4,6],[3,5]]
[3,1,2,5,6,4] => [[1,2,4,6],[3,5]]
[3,1,2,6,4,5] => [[1,2,4,5],[3,6]]
[3,1,2,6,5,4] => [[1,2,4],[3,5],[6]]
[3,1,4,2,5,6] => [[1,2,5,6],[3,4]]
[3,1,4,2,6,5] => [[1,2,5],[3,4,6]]
[3,1,4,5,2,6] => [[1,2,5,6],[3,4]]
[3,1,4,5,6,2] => [[1,2,5,6],[3,4]]
[3,1,4,6,2,5] => [[1,2,5],[3,4,6]]
[3,1,4,6,5,2] => [[1,2,5],[3,4],[6]]
[3,1,5,2,4,6] => [[1,2,4,6],[3,5]]
[3,1,5,2,6,4] => [[1,2,4],[3,5,6]]
[3,1,5,4,2,6] => [[1,2,6],[3,4],[5]]
[3,1,5,4,6,2] => [[1,2,6],[3,4],[5]]
[3,1,5,6,2,4] => [[1,2,4],[3,5,6]]
[3,1,5,6,4,2] => [[1,2,6],[3,4],[5]]
[3,1,6,2,4,5] => [[1,2,4,5],[3,6]]
[3,1,6,2,5,4] => [[1,2,4],[3,5],[6]]
[3,1,6,4,2,5] => [[1,2,5],[3,4],[6]]
[3,1,6,4,5,2] => [[1,2,5],[3,4],[6]]
[3,1,6,5,2,4] => [[1,2,4],[3,5],[6]]
[3,1,6,5,4,2] => [[1,2],[3,4],[5],[6]]
[3,2,1,4,5,6] => [[1,4,5,6],[2],[3]]
[3,2,1,4,6,5] => [[1,4,5],[2,6],[3]]
[3,2,1,5,4,6] => [[1,4,6],[2,5],[3]]
[3,2,1,5,6,4] => [[1,4,6],[2,5],[3]]
[3,2,1,6,4,5] => [[1,4,5],[2,6],[3]]
[3,2,1,6,5,4] => [[1,4],[2,5],[3,6]]
[3,2,4,1,5,6] => [[1,4,5,6],[2],[3]]
[3,2,4,1,6,5] => [[1,4,5],[2,6],[3]]
[3,2,4,5,1,6] => [[1,4,5,6],[2],[3]]
[3,2,4,5,6,1] => [[1,4,5,6],[2],[3]]
[3,2,4,6,1,5] => [[1,4,5],[2,6],[3]]
[3,2,4,6,5,1] => [[1,4,5],[2,6],[3]]
[3,2,5,1,4,6] => [[1,4,6],[2,5],[3]]
[3,2,5,1,6,4] => [[1,4,6],[2,5],[3]]
[3,2,5,4,1,6] => [[1,4,6],[2,5],[3]]
[3,2,5,4,6,1] => [[1,4,6],[2,5],[3]]
[3,2,5,6,1,4] => [[1,4,6],[2,5],[3]]
[3,2,5,6,4,1] => [[1,4,6],[2,5],[3]]
[3,2,6,1,4,5] => [[1,4,5],[2,6],[3]]
[3,2,6,1,5,4] => [[1,4],[2,5],[3,6]]
[3,2,6,4,1,5] => [[1,4,5],[2,6],[3]]
[3,2,6,4,5,1] => [[1,4,5],[2,6],[3]]
[3,2,6,5,1,4] => [[1,4],[2,5],[3,6]]
[3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]]
[3,4,1,2,5,6] => [[1,2,5,6],[3,4]]
[3,4,1,2,6,5] => [[1,2,5],[3,4,6]]
[3,4,1,5,2,6] => [[1,2,5,6],[3,4]]
[3,4,1,5,6,2] => [[1,2,5,6],[3,4]]
[3,4,1,6,2,5] => [[1,2,5],[3,4,6]]
[3,4,1,6,5,2] => [[1,2,5],[3,4],[6]]
[3,4,2,1,5,6] => [[1,4,5,6],[2],[3]]
[3,4,2,1,6,5] => [[1,4,5],[2,6],[3]]
[3,4,2,5,1,6] => [[1,4,5,6],[2],[3]]
[3,4,2,5,6,1] => [[1,4,5,6],[2],[3]]
[3,4,2,6,1,5] => [[1,4,5],[2,6],[3]]
[3,4,2,6,5,1] => [[1,4,5],[2,6],[3]]
[3,4,5,1,2,6] => [[1,2,5,6],[3,4]]
[3,4,5,1,6,2] => [[1,2,5,6],[3,4]]
[3,4,5,2,1,6] => [[1,4,5,6],[2],[3]]
[3,4,5,2,6,1] => [[1,4,5,6],[2],[3]]
[3,4,5,6,1,2] => [[1,2,5,6],[3,4]]
[3,4,5,6,2,1] => [[1,4,5,6],[2],[3]]
[3,4,6,1,2,5] => [[1,2,5],[3,4,6]]
[3,4,6,1,5,2] => [[1,2,5],[3,4],[6]]
[3,4,6,2,1,5] => [[1,4,5],[2,6],[3]]
[3,4,6,2,5,1] => [[1,4,5],[2,6],[3]]
[3,4,6,5,1,2] => [[1,2,5],[3,4],[6]]
[3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]]
[3,5,1,2,4,6] => [[1,2,4,6],[3,5]]
[3,5,1,2,6,4] => [[1,2,4],[3,5,6]]
[3,5,1,4,2,6] => [[1,2,6],[3,4],[5]]
[3,5,1,4,6,2] => [[1,2,6],[3,4],[5]]
[3,5,1,6,2,4] => [[1,2,4],[3,5,6]]
[3,5,1,6,4,2] => [[1,2,6],[3,4],[5]]
[3,5,2,1,4,6] => [[1,4,6],[2,5],[3]]
[3,5,2,1,6,4] => [[1,4,6],[2,5],[3]]
[3,5,2,4,1,6] => [[1,4,6],[2,5],[3]]
[3,5,2,4,6,1] => [[1,4,6],[2,5],[3]]
[3,5,2,6,1,4] => [[1,4,6],[2,5],[3]]
[3,5,2,6,4,1] => [[1,4,6],[2,5],[3]]
[3,5,4,1,2,6] => [[1,2,6],[3,4],[5]]
[3,5,4,1,6,2] => [[1,2,6],[3,4],[5]]
[3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]]
[3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]]
[3,5,4,6,1,2] => [[1,2,6],[3,4],[5]]
[3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]]
[3,5,6,1,2,4] => [[1,2,4],[3,5,6]]
[3,5,6,1,4,2] => [[1,2,6],[3,4],[5]]
[3,5,6,2,1,4] => [[1,4,6],[2,5],[3]]
[3,5,6,2,4,1] => [[1,4,6],[2,5],[3]]
[3,5,6,4,1,2] => [[1,2,6],[3,4],[5]]
[3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]]
[3,6,1,2,4,5] => [[1,2,4,5],[3,6]]
[3,6,1,2,5,4] => [[1,2,4],[3,5],[6]]
[3,6,1,4,2,5] => [[1,2,5],[3,4],[6]]
[3,6,1,4,5,2] => [[1,2,5],[3,4],[6]]
[3,6,1,5,2,4] => [[1,2,4],[3,5],[6]]
[3,6,1,5,4,2] => [[1,2],[3,4],[5],[6]]
[3,6,2,1,4,5] => [[1,4,5],[2,6],[3]]
[3,6,2,1,5,4] => [[1,4],[2,5],[3,6]]
[3,6,2,4,1,5] => [[1,4,5],[2,6],[3]]
[3,6,2,4,5,1] => [[1,4,5],[2,6],[3]]
[3,6,2,5,1,4] => [[1,4],[2,5],[3,6]]
[3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]]
[3,6,4,1,2,5] => [[1,2,5],[3,4],[6]]
[3,6,4,1,5,2] => [[1,2,5],[3,4],[6]]
[3,6,4,2,1,5] => [[1,4,5],[2],[3],[6]]
[3,6,4,2,5,1] => [[1,4,5],[2],[3],[6]]
[3,6,4,5,1,2] => [[1,2,5],[3,4],[6]]
[3,6,4,5,2,1] => [[1,4,5],[2],[3],[6]]
[3,6,5,1,2,4] => [[1,2,4],[3,5],[6]]
[3,6,5,1,4,2] => [[1,2],[3,4],[5],[6]]
[3,6,5,2,1,4] => [[1,4],[2,5],[3],[6]]
[3,6,5,2,4,1] => [[1,4],[2,5],[3],[6]]
[3,6,5,4,1,2] => [[1,2],[3,4],[5],[6]]
[3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]]
[4,1,2,3,5,6] => [[1,2,3,5,6],[4]]
[4,1,2,3,6,5] => [[1,2,3,5],[4,6]]
[4,1,2,5,3,6] => [[1,2,3,6],[4,5]]
[4,1,2,5,6,3] => [[1,2,3,6],[4,5]]
[4,1,2,6,3,5] => [[1,2,3,5],[4,6]]
[4,1,2,6,5,3] => [[1,2,3],[4,5],[6]]
[4,1,3,2,5,6] => [[1,2,5,6],[3],[4]]
[4,1,3,2,6,5] => [[1,2,5],[3,6],[4]]
[4,1,3,5,2,6] => [[1,2,5,6],[3],[4]]
[4,1,3,5,6,2] => [[1,2,5,6],[3],[4]]
[4,1,3,6,2,5] => [[1,2,5],[3,6],[4]]
[4,1,3,6,5,2] => [[1,2,5],[3,6],[4]]
[4,1,5,2,3,6] => [[1,2,3,6],[4,5]]
[4,1,5,2,6,3] => [[1,2,3],[4,5,6]]
[4,1,5,3,2,6] => [[1,2,6],[3,5],[4]]
[4,1,5,3,6,2] => [[1,2,6],[3,5],[4]]
[4,1,5,6,2,3] => [[1,2,3],[4,5,6]]
[4,1,5,6,3,2] => [[1,2,6],[3,5],[4]]
[4,1,6,2,3,5] => [[1,2,3,5],[4,6]]
[4,1,6,2,5,3] => [[1,2,3],[4,5],[6]]
[4,1,6,3,2,5] => [[1,2,5],[3,6],[4]]
[4,1,6,3,5,2] => [[1,2,5],[3,6],[4]]
[4,1,6,5,2,3] => [[1,2,3],[4,5],[6]]
[4,1,6,5,3,2] => [[1,2],[3,5],[4],[6]]
[4,2,1,3,5,6] => [[1,3,5,6],[2],[4]]
[4,2,1,3,6,5] => [[1,3,5],[2,6],[4]]
[4,2,1,5,3,6] => [[1,3,6],[2,5],[4]]
[4,2,1,5,6,3] => [[1,3,6],[2,5],[4]]
[4,2,1,6,3,5] => [[1,3,5],[2,6],[4]]
[4,2,1,6,5,3] => [[1,3],[2,5],[4,6]]
[4,2,3,1,5,6] => [[1,3,5,6],[2],[4]]
[4,2,3,1,6,5] => [[1,3,5],[2,6],[4]]
[4,2,3,5,1,6] => [[1,3,5,6],[2],[4]]
[4,2,3,5,6,1] => [[1,3,5,6],[2],[4]]
[4,2,3,6,1,5] => [[1,3,5],[2,6],[4]]
[4,2,3,6,5,1] => [[1,3,5],[2,6],[4]]
[4,2,5,1,3,6] => [[1,3,6],[2,5],[4]]
[4,2,5,1,6,3] => [[1,3,6],[2,5],[4]]
[4,2,5,3,1,6] => [[1,3,6],[2,5],[4]]
[4,2,5,3,6,1] => [[1,3,6],[2,5],[4]]
[4,2,5,6,1,3] => [[1,3,6],[2,5],[4]]
[4,2,5,6,3,1] => [[1,3,6],[2,5],[4]]
[4,2,6,1,3,5] => [[1,3,5],[2,6],[4]]
[4,2,6,1,5,3] => [[1,3],[2,5],[4,6]]
[4,2,6,3,1,5] => [[1,3,5],[2,6],[4]]
[4,2,6,3,5,1] => [[1,3,5],[2,6],[4]]
[4,2,6,5,1,3] => [[1,3],[2,5],[4,6]]
[4,2,6,5,3,1] => [[1,3],[2,5],[4],[6]]
[4,3,1,2,5,6] => [[1,2,5,6],[3],[4]]
[4,3,1,2,6,5] => [[1,2,5],[3,6],[4]]
[4,3,1,5,2,6] => [[1,2,6],[3,5],[4]]
[4,3,1,5,6,2] => [[1,2,6],[3,5],[4]]
[4,3,1,6,2,5] => [[1,2,5],[3,6],[4]]
[4,3,1,6,5,2] => [[1,2],[3,5],[4,6]]
[4,3,2,1,5,6] => [[1,5,6],[2],[3],[4]]
[4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]]
[4,3,2,5,1,6] => [[1,5,6],[2],[3],[4]]
[4,3,2,5,6,1] => [[1,5,6],[2],[3],[4]]
[4,3,2,6,1,5] => [[1,5],[2,6],[3],[4]]
[4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]]
[4,3,5,1,2,6] => [[1,2,6],[3,5],[4]]
[4,3,5,1,6,2] => [[1,2,6],[3,5],[4]]
[4,3,5,2,1,6] => [[1,5,6],[2],[3],[4]]
[4,3,5,2,6,1] => [[1,5,6],[2],[3],[4]]
[4,3,5,6,1,2] => [[1,2,6],[3,5],[4]]
[4,3,5,6,2,1] => [[1,5,6],[2],[3],[4]]
[4,3,6,1,2,5] => [[1,2,5],[3,6],[4]]
[4,3,6,1,5,2] => [[1,2],[3,5],[4,6]]
[4,3,6,2,1,5] => [[1,5],[2,6],[3],[4]]
[4,3,6,2,5,1] => [[1,5],[2,6],[3],[4]]
[4,3,6,5,1,2] => [[1,2],[3,5],[4,6]]
[4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]]
[4,5,1,2,3,6] => [[1,2,3,6],[4,5]]
[4,5,1,2,6,3] => [[1,2,3],[4,5,6]]
[4,5,1,3,2,6] => [[1,2,6],[3,5],[4]]
[4,5,1,3,6,2] => [[1,2,6],[3,5],[4]]
[4,5,1,6,2,3] => [[1,2,3],[4,5,6]]
[4,5,1,6,3,2] => [[1,2,6],[3,5],[4]]
[4,5,2,1,3,6] => [[1,3,6],[2,5],[4]]
[4,5,2,1,6,3] => [[1,3,6],[2,5],[4]]
[4,5,2,3,1,6] => [[1,3,6],[2,5],[4]]
[4,5,2,3,6,1] => [[1,3,6],[2,5],[4]]
[4,5,2,6,1,3] => [[1,3,6],[2,5],[4]]
[4,5,2,6,3,1] => [[1,3,6],[2,5],[4]]
[4,5,3,1,2,6] => [[1,2,6],[3,5],[4]]
[4,5,3,1,6,2] => [[1,2,6],[3,5],[4]]
[4,5,3,2,1,6] => [[1,5,6],[2],[3],[4]]
[4,5,3,2,6,1] => [[1,5,6],[2],[3],[4]]
[4,5,3,6,1,2] => [[1,2,6],[3,5],[4]]
[4,5,3,6,2,1] => [[1,5,6],[2],[3],[4]]
[4,5,6,1,2,3] => [[1,2,3],[4,5,6]]
[4,5,6,1,3,2] => [[1,2,6],[3,5],[4]]
[4,5,6,2,1,3] => [[1,3,6],[2,5],[4]]
[4,5,6,2,3,1] => [[1,3,6],[2,5],[4]]
[4,5,6,3,1,2] => [[1,2,6],[3,5],[4]]
[4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]]
[4,6,1,2,3,5] => [[1,2,3,5],[4,6]]
[4,6,1,2,5,3] => [[1,2,3],[4,5],[6]]
[4,6,1,3,2,5] => [[1,2,5],[3,6],[4]]
[4,6,1,3,5,2] => [[1,2,5],[3,6],[4]]
[4,6,1,5,2,3] => [[1,2,3],[4,5],[6]]
[4,6,1,5,3,2] => [[1,2],[3,5],[4],[6]]
[4,6,2,1,3,5] => [[1,3,5],[2,6],[4]]
[4,6,2,1,5,3] => [[1,3],[2,5],[4,6]]
[4,6,2,3,1,5] => [[1,3,5],[2,6],[4]]
[4,6,2,3,5,1] => [[1,3,5],[2,6],[4]]
[4,6,2,5,1,3] => [[1,3],[2,5],[4,6]]
[4,6,2,5,3,1] => [[1,3],[2,5],[4],[6]]
[4,6,3,1,2,5] => [[1,2,5],[3,6],[4]]
[4,6,3,1,5,2] => [[1,2],[3,5],[4,6]]
[4,6,3,2,1,5] => [[1,5],[2,6],[3],[4]]
[4,6,3,2,5,1] => [[1,5],[2,6],[3],[4]]
[4,6,3,5,1,2] => [[1,2],[3,5],[4,6]]
[4,6,3,5,2,1] => [[1,5],[2,6],[3],[4]]
[4,6,5,1,2,3] => [[1,2,3],[4,5],[6]]
[4,6,5,1,3,2] => [[1,2],[3,5],[4],[6]]
[4,6,5,2,1,3] => [[1,3],[2,5],[4],[6]]
[4,6,5,2,3,1] => [[1,3],[2,5],[4],[6]]
[4,6,5,3,1,2] => [[1,2],[3,5],[4],[6]]
[4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]]
[5,1,2,3,4,6] => [[1,2,3,4,6],[5]]
[5,1,2,3,6,4] => [[1,2,3,4],[5,6]]
[5,1,2,4,3,6] => [[1,2,3,6],[4],[5]]
[5,1,2,4,6,3] => [[1,2,3,6],[4],[5]]
[5,1,2,6,3,4] => [[1,2,3,4],[5,6]]
[5,1,2,6,4,3] => [[1,2,3],[4,6],[5]]
[5,1,3,2,4,6] => [[1,2,4,6],[3],[5]]
[5,1,3,2,6,4] => [[1,2,4],[3,6],[5]]
[5,1,3,4,2,6] => [[1,2,4,6],[3],[5]]
[5,1,3,4,6,2] => [[1,2,4,6],[3],[5]]
[5,1,3,6,2,4] => [[1,2,4],[3,6],[5]]
[5,1,3,6,4,2] => [[1,2,4],[3,6],[5]]
[5,1,4,2,3,6] => [[1,2,3,6],[4],[5]]
[5,1,4,2,6,3] => [[1,2,3],[4,6],[5]]
[5,1,4,3,2,6] => [[1,2,6],[3],[4],[5]]
[5,1,4,3,6,2] => [[1,2,6],[3],[4],[5]]
[5,1,4,6,2,3] => [[1,2,3],[4,6],[5]]
[5,1,4,6,3,2] => [[1,2,6],[3],[4],[5]]
[5,1,6,2,3,4] => [[1,2,3,4],[5,6]]
[5,1,6,2,4,3] => [[1,2,3],[4,6],[5]]
[5,1,6,3,2,4] => [[1,2,4],[3,6],[5]]
[5,1,6,3,4,2] => [[1,2,4],[3,6],[5]]
[5,1,6,4,2,3] => [[1,2,3],[4,6],[5]]
[5,1,6,4,3,2] => [[1,2],[3,6],[4],[5]]
[5,2,1,3,4,6] => [[1,3,4,6],[2],[5]]
[5,2,1,3,6,4] => [[1,3,4],[2,6],[5]]
[5,2,1,4,3,6] => [[1,3,6],[2,4],[5]]
[5,2,1,4,6,3] => [[1,3,6],[2,4],[5]]
[5,2,1,6,3,4] => [[1,3,4],[2,6],[5]]
[5,2,1,6,4,3] => [[1,3],[2,4],[5,6]]
[5,2,3,1,4,6] => [[1,3,4,6],[2],[5]]
[5,2,3,1,6,4] => [[1,3,4],[2,6],[5]]
[5,2,3,4,1,6] => [[1,3,4,6],[2],[5]]
[5,2,3,4,6,1] => [[1,3,4,6],[2],[5]]
[5,2,3,6,1,4] => [[1,3,4],[2,6],[5]]
[5,2,3,6,4,1] => [[1,3,4],[2,6],[5]]
[5,2,4,1,3,6] => [[1,3,6],[2,4],[5]]
[5,2,4,1,6,3] => [[1,3,6],[2,4],[5]]
[5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]]
[5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]]
[5,2,4,6,1,3] => [[1,3,6],[2,4],[5]]
[5,2,4,6,3,1] => [[1,3,6],[2],[4],[5]]
[5,2,6,1,3,4] => [[1,3,4],[2,6],[5]]
[5,2,6,1,4,3] => [[1,3],[2,4],[5,6]]
[5,2,6,3,1,4] => [[1,3,4],[2,6],[5]]
[5,2,6,3,4,1] => [[1,3,4],[2,6],[5]]
[5,2,6,4,1,3] => [[1,3],[2,4],[5,6]]
[5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]]
[5,3,1,2,4,6] => [[1,2,4,6],[3],[5]]
[5,3,1,2,6,4] => [[1,2,4],[3,6],[5]]
[5,3,1,4,2,6] => [[1,2,6],[3,4],[5]]
[5,3,1,4,6,2] => [[1,2,6],[3,4],[5]]
[5,3,1,6,2,4] => [[1,2,4],[3,6],[5]]
[5,3,1,6,4,2] => [[1,2],[3,4],[5,6]]
[5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]]
[5,3,2,1,6,4] => [[1,4],[2,6],[3],[5]]
[5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]]
[5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]]
[5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]]
[5,3,2,6,4,1] => [[1,4],[2,6],[3],[5]]
[5,3,4,1,2,6] => [[1,2,6],[3,4],[5]]
[5,3,4,1,6,2] => [[1,2,6],[3,4],[5]]
[5,3,4,2,1,6] => [[1,4,6],[2],[3],[5]]
[5,3,4,2,6,1] => [[1,4,6],[2],[3],[5]]
[5,3,4,6,1,2] => [[1,2,6],[3,4],[5]]
[5,3,4,6,2,1] => [[1,4,6],[2],[3],[5]]
[5,3,6,1,2,4] => [[1,2,4],[3,6],[5]]
[5,3,6,1,4,2] => [[1,2],[3,4],[5,6]]
[5,3,6,2,1,4] => [[1,4],[2,6],[3],[5]]
[5,3,6,2,4,1] => [[1,4],[2,6],[3],[5]]
[5,3,6,4,1,2] => [[1,2],[3,4],[5,6]]
[5,3,6,4,2,1] => [[1,4],[2,6],[3],[5]]
[5,4,1,2,3,6] => [[1,2,3,6],[4],[5]]
[5,4,1,2,6,3] => [[1,2,3],[4,6],[5]]
[5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]]
[5,4,1,3,6,2] => [[1,2,6],[3],[4],[5]]
[5,4,1,6,2,3] => [[1,2,3],[4,6],[5]]
[5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]]
[5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]]
[5,4,2,1,6,3] => [[1,3],[2,6],[4],[5]]
[5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]]
[5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]]
[5,4,2,6,1,3] => [[1,3],[2,6],[4],[5]]
[5,4,2,6,3,1] => [[1,3],[2,6],[4],[5]]
[5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]]
[5,4,3,1,6,2] => [[1,2],[3,6],[4],[5]]
[5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5]]
[5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5]]
[5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]]
[5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5]]
[5,4,6,1,2,3] => [[1,2,3],[4,6],[5]]
[5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]]
[5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]]
[5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]]
[5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]]
[5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5]]
[5,6,1,2,3,4] => [[1,2,3,4],[5,6]]
[5,6,1,2,4,3] => [[1,2,3],[4,6],[5]]
[5,6,1,3,2,4] => [[1,2,4],[3,6],[5]]
[5,6,1,3,4,2] => [[1,2,4],[3,6],[5]]
[5,6,1,4,2,3] => [[1,2,3],[4,6],[5]]
[5,6,1,4,3,2] => [[1,2],[3,6],[4],[5]]
[5,6,2,1,3,4] => [[1,3,4],[2,6],[5]]
[5,6,2,1,4,3] => [[1,3],[2,4],[5,6]]
[5,6,2,3,1,4] => [[1,3,4],[2,6],[5]]
[5,6,2,3,4,1] => [[1,3,4],[2,6],[5]]
[5,6,2,4,1,3] => [[1,3],[2,4],[5,6]]
[5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]]
[5,6,3,1,2,4] => [[1,2,4],[3,6],[5]]
[5,6,3,1,4,2] => [[1,2],[3,4],[5,6]]
[5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]]
[5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]]
[5,6,3,4,1,2] => [[1,2],[3,4],[5,6]]
[5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]]
[5,6,4,1,2,3] => [[1,2,3],[4,6],[5]]
[5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]]
[5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]]
[5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]]
[5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]]
[5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5]]
[6,1,2,3,4,5] => [[1,2,3,4,5],[6]]
[6,1,2,3,5,4] => [[1,2,3,4],[5],[6]]
[6,1,2,4,3,5] => [[1,2,3,5],[4],[6]]
[6,1,2,4,5,3] => [[1,2,3,5],[4],[6]]
[6,1,2,5,3,4] => [[1,2,3,4],[5],[6]]
[6,1,2,5,4,3] => [[1,2,3],[4],[5],[6]]
[6,1,3,2,4,5] => [[1,2,4,5],[3],[6]]
[6,1,3,2,5,4] => [[1,2,4],[3,5],[6]]
[6,1,3,4,2,5] => [[1,2,4,5],[3],[6]]
[6,1,3,4,5,2] => [[1,2,4,5],[3],[6]]
[6,1,3,5,2,4] => [[1,2,4],[3,5],[6]]
[6,1,3,5,4,2] => [[1,2,4],[3],[5],[6]]
[6,1,4,2,3,5] => [[1,2,3,5],[4],[6]]
[6,1,4,2,5,3] => [[1,2,3],[4,5],[6]]
[6,1,4,3,2,5] => [[1,2,5],[3],[4],[6]]
[6,1,4,3,5,2] => [[1,2,5],[3],[4],[6]]
[6,1,4,5,2,3] => [[1,2,3],[4,5],[6]]
[6,1,4,5,3,2] => [[1,2,5],[3],[4],[6]]
[6,1,5,2,3,4] => [[1,2,3,4],[5],[6]]
[6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]]
[6,1,5,3,2,4] => [[1,2,4],[3],[5],[6]]
[6,1,5,3,4,2] => [[1,2,4],[3],[5],[6]]
[6,1,5,4,2,3] => [[1,2,3],[4],[5],[6]]
[6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]]
[6,2,1,3,4,5] => [[1,3,4,5],[2],[6]]
[6,2,1,3,5,4] => [[1,3,4],[2,5],[6]]
[6,2,1,4,3,5] => [[1,3,5],[2,4],[6]]
[6,2,1,4,5,3] => [[1,3,5],[2,4],[6]]
[6,2,1,5,3,4] => [[1,3,4],[2,5],[6]]
[6,2,1,5,4,3] => [[1,3],[2,4],[5],[6]]
[6,2,3,1,4,5] => [[1,3,4,5],[2],[6]]
[6,2,3,1,5,4] => [[1,3,4],[2,5],[6]]
[6,2,3,4,1,5] => [[1,3,4,5],[2],[6]]
[6,2,3,4,5,1] => [[1,3,4,5],[2],[6]]
[6,2,3,5,1,4] => [[1,3,4],[2,5],[6]]
[6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]]
[6,2,4,1,3,5] => [[1,3,5],[2,4],[6]]
[6,2,4,1,5,3] => [[1,3,5],[2,4],[6]]
[6,2,4,3,1,5] => [[1,3,5],[2],[4],[6]]
[6,2,4,3,5,1] => [[1,3,5],[2],[4],[6]]
[6,2,4,5,1,3] => [[1,3,5],[2,4],[6]]
[6,2,4,5,3,1] => [[1,3,5],[2],[4],[6]]
[6,2,5,1,3,4] => [[1,3,4],[2,5],[6]]
[6,2,5,1,4,3] => [[1,3],[2,4],[5],[6]]
[6,2,5,3,1,4] => [[1,3,4],[2],[5],[6]]
[6,2,5,3,4,1] => [[1,3,4],[2],[5],[6]]
[6,2,5,4,1,3] => [[1,3],[2,4],[5],[6]]
[6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]]
[6,3,1,2,4,5] => [[1,2,4,5],[3],[6]]
[6,3,1,2,5,4] => [[1,2,4],[3,5],[6]]
[6,3,1,4,2,5] => [[1,2,5],[3,4],[6]]
[6,3,1,4,5,2] => [[1,2,5],[3,4],[6]]
[6,3,1,5,2,4] => [[1,2,4],[3,5],[6]]
[6,3,1,5,4,2] => [[1,2],[3,4],[5],[6]]
[6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]]
[6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]]
[6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]]
[6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]]
[6,3,2,5,1,4] => [[1,4],[2,5],[3],[6]]
[6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]]
[6,3,4,1,2,5] => [[1,2,5],[3,4],[6]]
[6,3,4,1,5,2] => [[1,2,5],[3,4],[6]]
[6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]]
[6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]]
[6,3,4,5,1,2] => [[1,2,5],[3,4],[6]]
[6,3,4,5,2,1] => [[1,4,5],[2],[3],[6]]
[6,3,5,1,2,4] => [[1,2,4],[3,5],[6]]
[6,3,5,1,4,2] => [[1,2],[3,4],[5],[6]]
[6,3,5,2,1,4] => [[1,4],[2,5],[3],[6]]
[6,3,5,2,4,1] => [[1,4],[2,5],[3],[6]]
[6,3,5,4,1,2] => [[1,2],[3,4],[5],[6]]
[6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]]
[6,4,1,2,3,5] => [[1,2,3,5],[4],[6]]
[6,4,1,2,5,3] => [[1,2,3],[4,5],[6]]
[6,4,1,3,2,5] => [[1,2,5],[3],[4],[6]]
[6,4,1,3,5,2] => [[1,2,5],[3],[4],[6]]
[6,4,1,5,2,3] => [[1,2,3],[4,5],[6]]
[6,4,1,5,3,2] => [[1,2],[3,5],[4],[6]]
[6,4,2,1,3,5] => [[1,3,5],[2],[4],[6]]
[6,4,2,1,5,3] => [[1,3],[2,5],[4],[6]]
[6,4,2,3,1,5] => [[1,3,5],[2],[4],[6]]
[6,4,2,3,5,1] => [[1,3,5],[2],[4],[6]]
[6,4,2,5,1,3] => [[1,3],[2,5],[4],[6]]
[6,4,2,5,3,1] => [[1,3],[2,5],[4],[6]]
[6,4,3,1,2,5] => [[1,2,5],[3],[4],[6]]
[6,4,3,1,5,2] => [[1,2],[3,5],[4],[6]]
[6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]]
[6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]]
[6,4,3,5,1,2] => [[1,2],[3,5],[4],[6]]
[6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]]
[6,4,5,1,2,3] => [[1,2,3],[4,5],[6]]
[6,4,5,1,3,2] => [[1,2],[3,5],[4],[6]]
[6,4,5,2,1,3] => [[1,3],[2,5],[4],[6]]
[6,4,5,2,3,1] => [[1,3],[2,5],[4],[6]]
[6,4,5,3,1,2] => [[1,2],[3,5],[4],[6]]
[6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6]]
[6,5,1,2,3,4] => [[1,2,3,4],[5],[6]]
[6,5,1,2,4,3] => [[1,2,3],[4],[5],[6]]
[6,5,1,3,2,4] => [[1,2,4],[3],[5],[6]]
[6,5,1,3,4,2] => [[1,2,4],[3],[5],[6]]
[6,5,1,4,2,3] => [[1,2,3],[4],[5],[6]]
[6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6]]
[6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]]
[6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]]
[6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]]
[6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]]
[6,5,2,4,1,3] => [[1,3],[2,4],[5],[6]]
[6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]]
[6,5,3,1,2,4] => [[1,2,4],[3],[5],[6]]
[6,5,3,1,4,2] => [[1,2],[3,4],[5],[6]]
[6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]]
[6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]]
[6,5,3,4,1,2] => [[1,2],[3,4],[5],[6]]
[6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]]
[6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]]
[6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]]
[6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]]
[6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]]
[6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]]
[6,5,4,3,2,1] => [[1],[2],[3],[4],[5],[6]]
[1,2,3,4,5,6,7] => [[1,2,3,4,5,6,7]]
[1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]]
[1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]]
[1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6]]
[1,2,3,4,7,5,6] => [[1,2,3,4,5,6],[7]]
[1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]]
[1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]]
[1,2,3,5,4,7,6] => [[1,2,3,4,6],[5,7]]
[1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5]]
[1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5]]
[1,2,3,5,7,4,6] => [[1,2,3,4,6],[5,7]]
[1,2,3,5,7,6,4] => [[1,2,3,4,6],[5],[7]]
[1,2,3,6,4,5,7] => [[1,2,3,4,5,7],[6]]
[1,2,3,6,4,7,5] => [[1,2,3,4,5],[6,7]]
[1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]]
[1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6]]
[1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]]
[1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6]]
[1,2,3,7,4,5,6] => [[1,2,3,4,5,6],[7]]
[1,2,3,7,4,6,5] => [[1,2,3,4,5],[6],[7]]
[1,2,3,7,5,4,6] => [[1,2,3,4,6],[5],[7]]
[1,2,3,7,5,6,4] => [[1,2,3,4,6],[5],[7]]
[1,2,3,7,6,4,5] => [[1,2,3,4,5],[6],[7]]
[1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]]
[1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]]
[1,2,4,3,5,7,6] => [[1,2,3,5,6],[4,7]]
[1,2,4,3,6,5,7] => [[1,2,3,5,7],[4,6]]
[1,2,4,3,6,7,5] => [[1,2,3,5,7],[4,6]]
[1,2,4,3,7,5,6] => [[1,2,3,5,6],[4,7]]
[1,2,4,3,7,6,5] => [[1,2,3,5],[4,6],[7]]
[1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4]]
[1,2,4,5,3,7,6] => [[1,2,3,5,6],[4,7]]
[1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4]]
[1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4]]
[1,2,4,5,7,3,6] => [[1,2,3,5,6],[4,7]]
[1,2,4,5,7,6,3] => [[1,2,3,5,6],[4],[7]]
[1,2,4,6,3,5,7] => [[1,2,3,5,7],[4,6]]
[1,2,4,6,3,7,5] => [[1,2,3,5,7],[4,6]]
[1,2,4,6,5,3,7] => [[1,2,3,5,7],[4],[6]]
[1,2,4,6,5,7,3] => [[1,2,3,5,7],[4],[6]]
[1,2,4,6,7,3,5] => [[1,2,3,5,7],[4,6]]
[1,2,4,6,7,5,3] => [[1,2,3,5,7],[4],[6]]
[1,2,4,7,3,5,6] => [[1,2,3,5,6],[4,7]]
[1,2,4,7,3,6,5] => [[1,2,3,5],[4,6],[7]]
[1,2,4,7,5,3,6] => [[1,2,3,5,6],[4],[7]]
[1,2,4,7,5,6,3] => [[1,2,3,5,6],[4],[7]]
[1,2,4,7,6,3,5] => [[1,2,3,5],[4,6],[7]]
[1,2,4,7,6,5,3] => [[1,2,3,5],[4],[6],[7]]
[1,2,5,3,4,6,7] => [[1,2,3,4,6,7],[5]]
[1,2,5,3,4,7,6] => [[1,2,3,4,6],[5,7]]
[1,2,5,3,6,4,7] => [[1,2,3,4,7],[5,6]]
[1,2,5,3,6,7,4] => [[1,2,3,4,7],[5,6]]
[1,2,5,3,7,4,6] => [[1,2,3,4,6],[5,7]]
[1,2,5,3,7,6,4] => [[1,2,3,4],[5,6],[7]]
[1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]]
[1,2,5,4,3,7,6] => [[1,2,3,6],[4,7],[5]]
[1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5]]
[1,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5]]
[1,2,5,4,7,3,6] => [[1,2,3,6],[4,7],[5]]
[1,2,5,4,7,6,3] => [[1,2,3,6],[4,7],[5]]
[1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]]
[1,2,5,6,3,7,4] => [[1,2,3,4,7],[5,6]]
[1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5]]
[1,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5]]
[1,2,5,6,7,3,4] => [[1,2,3,4,7],[5,6]]
[1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5]]
[1,2,5,7,3,4,6] => [[1,2,3,4,6],[5,7]]
[1,2,5,7,3,6,4] => [[1,2,3,4],[5,6],[7]]
[1,2,5,7,4,3,6] => [[1,2,3,6],[4,7],[5]]
[1,2,5,7,4,6,3] => [[1,2,3,6],[4,7],[5]]
[1,2,5,7,6,3,4] => [[1,2,3,4],[5,6],[7]]
[1,2,5,7,6,4,3] => [[1,2,3,6],[4],[5],[7]]
[1,2,6,3,4,5,7] => [[1,2,3,4,5,7],[6]]
[1,2,6,3,4,7,5] => [[1,2,3,4,5],[6,7]]
[1,2,6,3,5,4,7] => [[1,2,3,4,7],[5],[6]]
[1,2,6,3,5,7,4] => [[1,2,3,4,7],[5],[6]]
[1,2,6,3,7,4,5] => [[1,2,3,4,5],[6,7]]
[1,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6]]
[1,2,6,4,3,5,7] => [[1,2,3,5,7],[4],[6]]
[1,2,6,4,3,7,5] => [[1,2,3,5],[4,7],[6]]
[1,2,6,4,5,3,7] => [[1,2,3,5,7],[4],[6]]
[1,2,6,4,5,7,3] => [[1,2,3,5,7],[4],[6]]
[1,2,6,4,7,3,5] => [[1,2,3,5],[4,7],[6]]
[1,2,6,4,7,5,3] => [[1,2,3,5],[4,7],[6]]
[1,2,6,5,3,4,7] => [[1,2,3,4,7],[5],[6]]
[1,2,6,5,3,7,4] => [[1,2,3,4],[5,7],[6]]
[1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]]
[1,2,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6]]
[1,2,6,5,7,3,4] => [[1,2,3,4],[5,7],[6]]
[1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6]]
[1,2,6,7,3,4,5] => [[1,2,3,4,5],[6,7]]
[1,2,6,7,3,5,4] => [[1,2,3,4],[5,7],[6]]
[1,2,6,7,4,3,5] => [[1,2,3,5],[4,7],[6]]
[1,2,6,7,4,5,3] => [[1,2,3,5],[4,7],[6]]
[1,2,6,7,5,3,4] => [[1,2,3,4],[5,7],[6]]
[1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6]]
[1,2,7,3,4,5,6] => [[1,2,3,4,5,6],[7]]
[1,2,7,3,4,6,5] => [[1,2,3,4,5],[6],[7]]
[1,2,7,3,5,4,6] => [[1,2,3,4,6],[5],[7]]
[1,2,7,3,5,6,4] => [[1,2,3,4,6],[5],[7]]
[1,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7]]
[1,2,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7]]
[1,2,7,4,3,5,6] => [[1,2,3,5,6],[4],[7]]
[1,2,7,4,3,6,5] => [[1,2,3,5],[4,6],[7]]
[1,2,7,4,5,3,6] => [[1,2,3,5,6],[4],[7]]
[1,2,7,4,5,6,3] => [[1,2,3,5,6],[4],[7]]
[1,2,7,4,6,3,5] => [[1,2,3,5],[4,6],[7]]
[1,2,7,4,6,5,3] => [[1,2,3,5],[4],[6],[7]]
[1,2,7,5,3,4,6] => [[1,2,3,4,6],[5],[7]]
[1,2,7,5,3,6,4] => [[1,2,3,4],[5,6],[7]]
[1,2,7,5,4,3,6] => [[1,2,3,6],[4],[5],[7]]
[1,2,7,5,4,6,3] => [[1,2,3,6],[4],[5],[7]]
[1,2,7,5,6,3,4] => [[1,2,3,4],[5,6],[7]]
[1,2,7,5,6,4,3] => [[1,2,3,6],[4],[5],[7]]
[1,2,7,6,3,4,5] => [[1,2,3,4,5],[6],[7]]
[1,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7]]
[1,2,7,6,4,3,5] => [[1,2,3,5],[4],[6],[7]]
[1,2,7,6,4,5,3] => [[1,2,3,5],[4],[6],[7]]
[1,2,7,6,5,3,4] => [[1,2,3,4],[5],[6],[7]]
[1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]]
[1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]]
[1,3,2,4,5,7,6] => [[1,2,4,5,6],[3,7]]
[1,3,2,4,6,5,7] => [[1,2,4,5,7],[3,6]]
[1,3,2,4,6,7,5] => [[1,2,4,5,7],[3,6]]
[1,3,2,4,7,5,6] => [[1,2,4,5,6],[3,7]]
[1,3,2,4,7,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,2,5,4,6,7] => [[1,2,4,6,7],[3,5]]
[1,3,2,5,4,7,6] => [[1,2,4,6],[3,5,7]]
[1,3,2,5,6,4,7] => [[1,2,4,6,7],[3,5]]
[1,3,2,5,6,7,4] => [[1,2,4,6,7],[3,5]]
[1,3,2,5,7,4,6] => [[1,2,4,6],[3,5,7]]
[1,3,2,5,7,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,2,6,4,5,7] => [[1,2,4,5,7],[3,6]]
[1,3,2,6,4,7,5] => [[1,2,4,5],[3,6,7]]
[1,3,2,6,5,4,7] => [[1,2,4,7],[3,5],[6]]
[1,3,2,6,5,7,4] => [[1,2,4,7],[3,5],[6]]
[1,3,2,6,7,4,5] => [[1,2,4,5],[3,6,7]]
[1,3,2,6,7,5,4] => [[1,2,4,7],[3,5],[6]]
[1,3,2,7,4,5,6] => [[1,2,4,5,6],[3,7]]
[1,3,2,7,4,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,2,7,5,4,6] => [[1,2,4,6],[3,5],[7]]
[1,3,2,7,5,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,2,7,6,4,5] => [[1,2,4,5],[3,6],[7]]
[1,3,2,7,6,5,4] => [[1,2,4],[3,5],[6],[7]]
[1,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3]]
[1,3,4,2,5,7,6] => [[1,2,4,5,6],[3,7]]
[1,3,4,2,6,5,7] => [[1,2,4,5,7],[3,6]]
[1,3,4,2,6,7,5] => [[1,2,4,5,7],[3,6]]
[1,3,4,2,7,5,6] => [[1,2,4,5,6],[3,7]]
[1,3,4,2,7,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3]]
[1,3,4,5,2,7,6] => [[1,2,4,5,6],[3,7]]
[1,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3]]
[1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3]]
[1,3,4,5,7,2,6] => [[1,2,4,5,6],[3,7]]
[1,3,4,5,7,6,2] => [[1,2,4,5,6],[3],[7]]
[1,3,4,6,2,5,7] => [[1,2,4,5,7],[3,6]]
[1,3,4,6,2,7,5] => [[1,2,4,5,7],[3,6]]
[1,3,4,6,5,2,7] => [[1,2,4,5,7],[3],[6]]
[1,3,4,6,5,7,2] => [[1,2,4,5,7],[3],[6]]
[1,3,4,6,7,2,5] => [[1,2,4,5,7],[3,6]]
[1,3,4,6,7,5,2] => [[1,2,4,5,7],[3],[6]]
[1,3,4,7,2,5,6] => [[1,2,4,5,6],[3,7]]
[1,3,4,7,2,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,4,7,5,2,6] => [[1,2,4,5,6],[3],[7]]
[1,3,4,7,5,6,2] => [[1,2,4,5,6],[3],[7]]
[1,3,4,7,6,2,5] => [[1,2,4,5],[3,6],[7]]
[1,3,4,7,6,5,2] => [[1,2,4,5],[3],[6],[7]]
[1,3,5,2,4,6,7] => [[1,2,4,6,7],[3,5]]
[1,3,5,2,4,7,6] => [[1,2,4,6],[3,5,7]]
[1,3,5,2,6,4,7] => [[1,2,4,6,7],[3,5]]
[1,3,5,2,6,7,4] => [[1,2,4,6,7],[3,5]]
[1,3,5,2,7,4,6] => [[1,2,4,6],[3,5,7]]
[1,3,5,2,7,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,5,4,2,6,7] => [[1,2,4,6,7],[3],[5]]
[1,3,5,4,2,7,6] => [[1,2,4,6],[3,7],[5]]
[1,3,5,4,6,2,7] => [[1,2,4,6,7],[3],[5]]
[1,3,5,4,6,7,2] => [[1,2,4,6,7],[3],[5]]
[1,3,5,4,7,2,6] => [[1,2,4,6],[3,7],[5]]
[1,3,5,4,7,6,2] => [[1,2,4,6],[3,7],[5]]
[1,3,5,6,2,4,7] => [[1,2,4,6,7],[3,5]]
[1,3,5,6,2,7,4] => [[1,2,4,6,7],[3,5]]
[1,3,5,6,4,2,7] => [[1,2,4,6,7],[3],[5]]
[1,3,5,6,4,7,2] => [[1,2,4,6,7],[3],[5]]
[1,3,5,6,7,2,4] => [[1,2,4,6,7],[3,5]]
[1,3,5,6,7,4,2] => [[1,2,4,6,7],[3],[5]]
[1,3,5,7,2,4,6] => [[1,2,4,6],[3,5,7]]
[1,3,5,7,2,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,5,7,4,2,6] => [[1,2,4,6],[3,7],[5]]
[1,3,5,7,4,6,2] => [[1,2,4,6],[3,7],[5]]
[1,3,5,7,6,2,4] => [[1,2,4,6],[3,5],[7]]
[1,3,5,7,6,4,2] => [[1,2,4,6],[3],[5],[7]]
[1,3,6,2,4,5,7] => [[1,2,4,5,7],[3,6]]
[1,3,6,2,4,7,5] => [[1,2,4,5],[3,6,7]]
[1,3,6,2,5,4,7] => [[1,2,4,7],[3,5],[6]]
[1,3,6,2,5,7,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,2,7,4,5] => [[1,2,4,5],[3,6,7]]
[1,3,6,2,7,5,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,4,2,5,7] => [[1,2,4,5,7],[3],[6]]
[1,3,6,4,2,7,5] => [[1,2,4,5],[3,7],[6]]
[1,3,6,4,5,2,7] => [[1,2,4,5,7],[3],[6]]
[1,3,6,4,5,7,2] => [[1,2,4,5,7],[3],[6]]
[1,3,6,4,7,2,5] => [[1,2,4,5],[3,7],[6]]
[1,3,6,4,7,5,2] => [[1,2,4,5],[3,7],[6]]
[1,3,6,5,2,4,7] => [[1,2,4,7],[3,5],[6]]
[1,3,6,5,2,7,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,5,4,2,7] => [[1,2,4,7],[3],[5],[6]]
[1,3,6,5,4,7,2] => [[1,2,4,7],[3],[5],[6]]
[1,3,6,5,7,2,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,5,7,4,2] => [[1,2,4,7],[3],[5],[6]]
[1,3,6,7,2,4,5] => [[1,2,4,5],[3,6,7]]
[1,3,6,7,2,5,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,7,4,2,5] => [[1,2,4,5],[3,7],[6]]
[1,3,6,7,4,5,2] => [[1,2,4,5],[3,7],[6]]
[1,3,6,7,5,2,4] => [[1,2,4,7],[3,5],[6]]
[1,3,6,7,5,4,2] => [[1,2,4,7],[3],[5],[6]]
[1,3,7,2,4,5,6] => [[1,2,4,5,6],[3,7]]
[1,3,7,2,4,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,7,2,5,4,6] => [[1,2,4,6],[3,5],[7]]
[1,3,7,2,5,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,7,2,6,4,5] => [[1,2,4,5],[3,6],[7]]
[1,3,7,2,6,5,4] => [[1,2,4],[3,5],[6],[7]]
[1,3,7,4,2,5,6] => [[1,2,4,5,6],[3],[7]]
[1,3,7,4,2,6,5] => [[1,2,4,5],[3,6],[7]]
[1,3,7,4,5,2,6] => [[1,2,4,5,6],[3],[7]]
[1,3,7,4,5,6,2] => [[1,2,4,5,6],[3],[7]]
[1,3,7,4,6,2,5] => [[1,2,4,5],[3,6],[7]]
[1,3,7,4,6,5,2] => [[1,2,4,5],[3],[6],[7]]
[1,3,7,5,2,4,6] => [[1,2,4,6],[3,5],[7]]
[1,3,7,5,2,6,4] => [[1,2,4,6],[3,5],[7]]
[1,3,7,5,4,2,6] => [[1,2,4,6],[3],[5],[7]]
[1,3,7,5,4,6,2] => [[1,2,4,6],[3],[5],[7]]
[1,3,7,5,6,2,4] => [[1,2,4,6],[3,5],[7]]
[1,3,7,5,6,4,2] => [[1,2,4,6],[3],[5],[7]]
[1,3,7,6,2,4,5] => [[1,2,4,5],[3,6],[7]]
[1,3,7,6,2,5,4] => [[1,2,4],[3,5],[6],[7]]
[1,3,7,6,4,2,5] => [[1,2,4,5],[3],[6],[7]]
[1,3,7,6,4,5,2] => [[1,2,4,5],[3],[6],[7]]
[1,3,7,6,5,2,4] => [[1,2,4],[3,5],[6],[7]]
[1,3,7,6,5,4,2] => [[1,2,4],[3],[5],[6],[7]]
[1,4,2,3,5,6,7] => [[1,2,3,5,6,7],[4]]
[1,4,2,3,5,7,6] => [[1,2,3,5,6],[4,7]]
[1,4,2,3,6,5,7] => [[1,2,3,5,7],[4,6]]
[1,4,2,3,6,7,5] => [[1,2,3,5,7],[4,6]]
[1,4,2,3,7,5,6] => [[1,2,3,5,6],[4,7]]
[1,4,2,3,7,6,5] => [[1,2,3,5],[4,6],[7]]
[1,4,2,5,3,6,7] => [[1,2,3,6,7],[4,5]]
[1,4,2,5,3,7,6] => [[1,2,3,6],[4,5,7]]
[1,4,2,5,6,3,7] => [[1,2,3,6,7],[4,5]]
[1,4,2,5,6,7,3] => [[1,2,3,6,7],[4,5]]
[1,4,2,5,7,3,6] => [[1,2,3,6],[4,5,7]]
[1,4,2,5,7,6,3] => [[1,2,3,6],[4,5],[7]]
[1,4,2,6,3,5,7] => [[1,2,3,5,7],[4,6]]
[1,4,2,6,3,7,5] => [[1,2,3,5],[4,6,7]]
[1,4,2,6,5,3,7] => [[1,2,3,7],[4,5],[6]]
[1,4,2,6,5,7,3] => [[1,2,3,7],[4,5],[6]]
[1,4,2,6,7,3,5] => [[1,2,3,5],[4,6,7]]
[1,4,2,6,7,5,3] => [[1,2,3,7],[4,5],[6]]
[1,4,2,7,3,5,6] => [[1,2,3,5,6],[4,7]]
[1,4,2,7,3,6,5] => [[1,2,3,5],[4,6],[7]]
[1,4,2,7,5,3,6] => [[1,2,3,6],[4,5],[7]]
[1,4,2,7,5,6,3] => [[1,2,3,6],[4,5],[7]]
[1,4,2,7,6,3,5] => [[1,2,3,5],[4,6],[7]]
[1,4,2,7,6,5,3] => [[1,2,3],[4,5],[6],[7]]
[1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]]
[1,4,3,2,5,7,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,2,6,5,7] => [[1,2,5,7],[3,6],[4]]
[1,4,3,2,6,7,5] => [[1,2,5,7],[3,6],[4]]
[1,4,3,2,7,5,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,2,7,6,5] => [[1,2,5],[3,6],[4,7]]
[1,4,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]]
[1,4,3,5,2,7,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]]
[1,4,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]]
[1,4,3,5,7,2,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,5,7,6,2] => [[1,2,5,6],[3,7],[4]]
[1,4,3,6,2,5,7] => [[1,2,5,7],[3,6],[4]]
[1,4,3,6,2,7,5] => [[1,2,5,7],[3,6],[4]]
[1,4,3,6,5,2,7] => [[1,2,5,7],[3,6],[4]]
[1,4,3,6,5,7,2] => [[1,2,5,7],[3,6],[4]]
[1,4,3,6,7,2,5] => [[1,2,5,7],[3,6],[4]]
[1,4,3,6,7,5,2] => [[1,2,5,7],[3,6],[4]]
[1,4,3,7,2,5,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,7,2,6,5] => [[1,2,5],[3,6],[4,7]]
[1,4,3,7,5,2,6] => [[1,2,5,6],[3,7],[4]]
[1,4,3,7,5,6,2] => [[1,2,5,6],[3,7],[4]]
[1,4,3,7,6,2,5] => [[1,2,5],[3,6],[4,7]]
[1,4,3,7,6,5,2] => [[1,2,5],[3,6],[4],[7]]
[1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5]]
[1,4,5,2,3,7,6] => [[1,2,3,6],[4,5,7]]
[1,4,5,2,6,3,7] => [[1,2,3,6,7],[4,5]]
[1,4,5,2,6,7,3] => [[1,2,3,6,7],[4,5]]
[1,4,5,2,7,3,6] => [[1,2,3,6],[4,5,7]]
[1,4,5,2,7,6,3] => [[1,2,3,6],[4,5],[7]]
[1,4,5,3,2,6,7] => [[1,2,5,6,7],[3],[4]]
[1,4,5,3,2,7,6] => [[1,2,5,6],[3,7],[4]]
[1,4,5,3,6,2,7] => [[1,2,5,6,7],[3],[4]]
[1,4,5,3,6,7,2] => [[1,2,5,6,7],[3],[4]]
[1,4,5,3,7,2,6] => [[1,2,5,6],[3,7],[4]]
[1,4,5,3,7,6,2] => [[1,2,5,6],[3,7],[4]]
[1,4,5,6,2,3,7] => [[1,2,3,6,7],[4,5]]
[1,4,5,6,2,7,3] => [[1,2,3,6,7],[4,5]]
[1,4,5,6,3,2,7] => [[1,2,5,6,7],[3],[4]]
[1,4,5,6,3,7,2] => [[1,2,5,6,7],[3],[4]]
[1,4,5,6,7,2,3] => [[1,2,3,6,7],[4,5]]
[1,4,5,6,7,3,2] => [[1,2,5,6,7],[3],[4]]
[1,4,5,7,2,3,6] => [[1,2,3,6],[4,5,7]]
[1,4,5,7,2,6,3] => [[1,2,3,6],[4,5],[7]]
[1,4,5,7,3,2,6] => [[1,2,5,6],[3,7],[4]]
[1,4,5,7,3,6,2] => [[1,2,5,6],[3,7],[4]]
[1,4,5,7,6,2,3] => [[1,2,3,6],[4,5],[7]]
[1,4,5,7,6,3,2] => [[1,2,5,6],[3],[4],[7]]
[1,4,6,2,3,5,7] => [[1,2,3,5,7],[4,6]]
[1,4,6,2,3,7,5] => [[1,2,3,5],[4,6,7]]
[1,4,6,2,5,3,7] => [[1,2,3,7],[4,5],[6]]
[1,4,6,2,5,7,3] => [[1,2,3,7],[4,5],[6]]
[1,4,6,2,7,3,5] => [[1,2,3,5],[4,6,7]]
[1,4,6,2,7,5,3] => [[1,2,3,7],[4,5],[6]]
[1,4,6,3,2,5,7] => [[1,2,5,7],[3,6],[4]]
[1,4,6,3,2,7,5] => [[1,2,5,7],[3,6],[4]]
[1,4,6,3,5,2,7] => [[1,2,5,7],[3,6],[4]]
[1,4,6,3,5,7,2] => [[1,2,5,7],[3,6],[4]]
[1,4,6,3,7,2,5] => [[1,2,5,7],[3,6],[4]]
[1,4,6,3,7,5,2] => [[1,2,5,7],[3,6],[4]]
[1,4,6,5,2,3,7] => [[1,2,3,7],[4,5],[6]]
[1,4,6,5,2,7,3] => [[1,2,3,7],[4,5],[6]]
[1,4,6,5,3,2,7] => [[1,2,5,7],[3],[4],[6]]
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Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
Properties
surjectiveA map $\phi: A \rightarrow B$ is surjective if for any $b \in B$, there is an $a \in A$ such that $\phi(a) = b$., gradedA map $\phi: A \rightarrow B$ is graded for graded sets $A$ and $B$ if $\operatorname{deg}(a) = \operatorname{deg}(a')$ implies $\operatorname{deg}(\phi(a)) = \operatorname{deg}(\phi(a'))$ for all $a, a' \in A$.
References
Code
def left_tableau(elt):
return RSK(elt, check_standard=True)[0]


Updated
May 15, 2019 at 07:30 by Christian Stump