Identifier
Mp00283: Perfect matchings —non-nesting-exceedence permutation⟶ Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Images
[(1,2)] => [2,1] => [[1],[2]]
[(1,2),(3,4)] => [2,1,4,3] => [[1,3],[2,4]]
[(1,3),(2,4)] => [3,4,1,2] => [[1,2],[3,4]]
[(1,4),(2,3)] => [3,4,2,1] => [[1,4],[2],[3]]
[(1,2),(3,4),(5,6)] => [2,1,4,3,6,5] => [[1,3,5],[2,4,6]]
[(1,3),(2,4),(5,6)] => [3,4,1,2,6,5] => [[1,2,5],[3,4,6]]
[(1,4),(2,3),(5,6)] => [3,4,2,1,6,5] => [[1,4,5],[2,6],[3]]
[(1,5),(2,3),(4,6)] => [3,5,2,6,1,4] => [[1,4,6],[2,5],[3]]
[(1,6),(2,3),(4,5)] => [3,5,2,6,4,1] => [[1,4,6],[2,5],[3]]
[(1,6),(2,4),(3,5)] => [4,5,6,2,3,1] => [[1,3,6],[2,5],[4]]
[(1,5),(2,4),(3,6)] => [4,5,6,2,1,3] => [[1,3,6],[2,5],[4]]
[(1,4),(2,5),(3,6)] => [4,5,6,1,2,3] => [[1,2,3],[4,5,6]]
[(1,3),(2,5),(4,6)] => [3,5,1,6,2,4] => [[1,2,4],[3,5,6]]
[(1,2),(3,5),(4,6)] => [2,1,5,6,3,4] => [[1,3,4],[2,5,6]]
[(1,2),(3,6),(4,5)] => [2,1,5,6,4,3] => [[1,3,6],[2,4],[5]]
[(1,3),(2,6),(4,5)] => [3,5,1,6,4,2] => [[1,2,6],[3,4],[5]]
[(1,4),(2,6),(3,5)] => [4,5,6,1,3,2] => [[1,2,6],[3,5],[4]]
[(1,5),(2,6),(3,4)] => [4,5,6,3,1,2] => [[1,2,6],[3,5],[4]]
[(1,6),(2,5),(3,4)] => [4,5,6,3,2,1] => [[1,5,6],[2],[3],[4]]
[(1,2),(3,4),(5,6),(7,8)] => [2,1,4,3,6,5,8,7] => [[1,3,5,7],[2,4,6,8]]
[(1,3),(2,4),(5,6),(7,8)] => [3,4,1,2,6,5,8,7] => [[1,2,5,7],[3,4,6,8]]
[(1,4),(2,3),(5,6),(7,8)] => [3,4,2,1,6,5,8,7] => [[1,4,5,7],[2,6,8],[3]]
[(1,5),(2,3),(4,6),(7,8)] => [3,5,2,6,1,4,8,7] => [[1,4,6,7],[2,5,8],[3]]
[(1,6),(2,3),(4,5),(7,8)] => [3,5,2,6,4,1,8,7] => [[1,4,6,7],[2,5,8],[3]]
[(1,7),(2,3),(4,5),(6,8)] => [3,5,2,7,4,8,1,6] => [[1,4,6,8],[2,5,7],[3]]
[(1,8),(2,3),(4,5),(6,7)] => [3,5,2,7,4,8,6,1] => [[1,4,6,8],[2,5,7],[3]]
[(1,8),(2,4),(3,5),(6,7)] => [4,5,7,2,3,8,6,1] => [[1,3,6,8],[2,5,7],[4]]
[(1,7),(2,4),(3,5),(6,8)] => [4,5,7,2,3,8,1,6] => [[1,3,6,8],[2,5,7],[4]]
[(1,6),(2,4),(3,5),(7,8)] => [4,5,6,2,3,1,8,7] => [[1,3,6,7],[2,5,8],[4]]
[(1,5),(2,4),(3,6),(7,8)] => [4,5,6,2,1,3,8,7] => [[1,3,6,7],[2,5,8],[4]]
[(1,4),(2,5),(3,6),(7,8)] => [4,5,6,1,2,3,8,7] => [[1,2,3,7],[4,5,6,8]]
[(1,3),(2,5),(4,6),(7,8)] => [3,5,1,6,2,4,8,7] => [[1,2,4,7],[3,5,6,8]]
[(1,2),(3,5),(4,6),(7,8)] => [2,1,5,6,3,4,8,7] => [[1,3,4,7],[2,5,6,8]]
[(1,2),(3,6),(4,5),(7,8)] => [2,1,5,6,4,3,8,7] => [[1,3,6,7],[2,4,8],[5]]
[(1,3),(2,6),(4,5),(7,8)] => [3,5,1,6,4,2,8,7] => [[1,2,6,7],[3,4,8],[5]]
[(1,4),(2,6),(3,5),(7,8)] => [4,5,6,1,3,2,8,7] => [[1,2,6,7],[3,5,8],[4]]
[(1,5),(2,6),(3,4),(7,8)] => [4,5,6,3,1,2,8,7] => [[1,2,6,7],[3,5,8],[4]]
[(1,6),(2,5),(3,4),(7,8)] => [4,5,6,3,2,1,8,7] => [[1,5,6,7],[2,8],[3],[4]]
[(1,7),(2,5),(3,4),(6,8)] => [4,5,7,3,2,8,1,6] => [[1,5,6,8],[2,7],[3],[4]]
[(1,8),(2,5),(3,4),(6,7)] => [4,5,7,3,2,8,6,1] => [[1,5,6,8],[2,7],[3],[4]]
[(1,8),(2,6),(3,4),(5,7)] => [4,6,7,3,8,2,5,1] => [[1,5,7,8],[2,6],[3],[4]]
[(1,7),(2,6),(3,4),(5,8)] => [4,6,7,3,8,2,1,5] => [[1,5,7,8],[2,6],[3],[4]]
[(1,6),(2,7),(3,4),(5,8)] => [4,6,7,3,8,1,2,5] => [[1,2,5,8],[3,6,7],[4]]
[(1,5),(2,7),(3,4),(6,8)] => [4,5,7,3,1,8,2,6] => [[1,2,6,8],[3,5,7],[4]]
[(1,4),(2,7),(3,5),(6,8)] => [4,5,7,1,3,8,2,6] => [[1,2,6,8],[3,5,7],[4]]
[(1,3),(2,7),(4,5),(6,8)] => [3,5,1,7,4,8,2,6] => [[1,2,6,8],[3,4,7],[5]]
[(1,2),(3,7),(4,5),(6,8)] => [2,1,5,7,4,8,3,6] => [[1,3,6,8],[2,4,7],[5]]
[(1,2),(3,8),(4,5),(6,7)] => [2,1,5,7,4,8,6,3] => [[1,3,6,8],[2,4,7],[5]]
[(1,3),(2,8),(4,5),(6,7)] => [3,5,1,7,4,8,6,2] => [[1,2,6,8],[3,4,7],[5]]
[(1,4),(2,8),(3,5),(6,7)] => [4,5,7,1,3,8,6,2] => [[1,2,6,8],[3,5,7],[4]]
[(1,5),(2,8),(3,4),(6,7)] => [4,5,7,3,1,8,6,2] => [[1,2,6,8],[3,5],[4,7]]
[(1,6),(2,8),(3,4),(5,7)] => [4,6,7,3,8,1,5,2] => [[1,2,7,8],[3,5],[4,6]]
[(1,7),(2,8),(3,4),(5,6)] => [4,6,7,3,8,5,1,2] => [[1,2,7,8],[3,5],[4,6]]
[(1,8),(2,7),(3,4),(5,6)] => [4,6,7,3,8,5,2,1] => [[1,5,7,8],[2,6],[3],[4]]
[(1,8),(2,7),(3,5),(4,6)] => [5,6,7,8,3,4,2,1] => [[1,4,7,8],[2,6],[3],[5]]
[(1,7),(2,8),(3,5),(4,6)] => [5,6,7,8,3,4,1,2] => [[1,2,7,8],[3,4],[5,6]]
[(1,6),(2,8),(3,5),(4,7)] => [5,6,7,8,3,1,4,2] => [[1,2,7,8],[3,4],[5,6]]
[(1,5),(2,8),(3,6),(4,7)] => [5,6,7,8,1,3,4,2] => [[1,2,4,8],[3,6,7],[5]]
[(1,4),(2,8),(3,6),(5,7)] => [4,6,7,1,8,3,5,2] => [[1,2,5,8],[3,6,7],[4]]
[(1,3),(2,8),(4,6),(5,7)] => [3,6,1,7,8,4,5,2] => [[1,2,5,8],[3,4,7],[6]]
[(1,2),(3,8),(4,6),(5,7)] => [2,1,6,7,8,4,5,3] => [[1,3,5,8],[2,4,7],[6]]
[(1,2),(3,7),(4,6),(5,8)] => [2,1,6,7,8,4,3,5] => [[1,3,5,8],[2,4,7],[6]]
[(1,3),(2,7),(4,6),(5,8)] => [3,6,1,7,8,4,2,5] => [[1,2,5,8],[3,4,7],[6]]
[(1,4),(2,7),(3,6),(5,8)] => [4,6,7,1,8,3,2,5] => [[1,2,5,8],[3,6,7],[4]]
[(1,5),(2,7),(3,6),(4,8)] => [5,6,7,8,1,3,2,4] => [[1,2,4,8],[3,6,7],[5]]
[(1,6),(2,7),(3,5),(4,8)] => [5,6,7,8,3,1,2,4] => [[1,2,4,8],[3,6,7],[5]]
[(1,7),(2,6),(3,5),(4,8)] => [5,6,7,8,3,2,1,4] => [[1,4,7,8],[2,6],[3],[5]]
[(1,8),(2,6),(3,5),(4,7)] => [5,6,7,8,3,2,4,1] => [[1,4,7,8],[2,6],[3],[5]]
[(1,8),(2,5),(3,6),(4,7)] => [5,6,7,8,2,3,4,1] => [[1,3,4,8],[2,6,7],[5]]
[(1,7),(2,5),(3,6),(4,8)] => [5,6,7,8,2,3,1,4] => [[1,3,4,8],[2,6,7],[5]]
[(1,6),(2,5),(3,7),(4,8)] => [5,6,7,8,2,1,3,4] => [[1,3,4,8],[2,6,7],[5]]
[(1,5),(2,6),(3,7),(4,8)] => [5,6,7,8,1,2,3,4] => [[1,2,3,4],[5,6,7,8]]
[(1,4),(2,6),(3,7),(5,8)] => [4,6,7,1,8,2,3,5] => [[1,2,3,5],[4,6,7,8]]
[(1,3),(2,6),(4,7),(5,8)] => [3,6,1,7,8,2,4,5] => [[1,2,4,5],[3,6,7,8]]
[(1,2),(3,6),(4,7),(5,8)] => [2,1,6,7,8,3,4,5] => [[1,3,4,5],[2,6,7,8]]
[(1,2),(3,5),(4,7),(6,8)] => [2,1,5,7,3,8,4,6] => [[1,3,4,6],[2,5,7,8]]
[(1,3),(2,5),(4,7),(6,8)] => [3,5,1,7,2,8,4,6] => [[1,2,4,6],[3,5,7,8]]
[(1,4),(2,5),(3,7),(6,8)] => [4,5,7,1,2,8,3,6] => [[1,2,3,6],[4,5,7,8]]
[(1,5),(2,4),(3,7),(6,8)] => [4,5,7,2,1,8,3,6] => [[1,3,6,8],[2,5,7],[4]]
[(1,6),(2,4),(3,7),(5,8)] => [4,6,7,2,8,1,3,5] => [[1,3,5,8],[2,6,7],[4]]
[(1,7),(2,4),(3,6),(5,8)] => [4,6,7,2,8,3,1,5] => [[1,3,5,8],[2,6,7],[4]]
[(1,8),(2,4),(3,6),(5,7)] => [4,6,7,2,8,3,5,1] => [[1,3,5,8],[2,6,7],[4]]
[(1,8),(2,3),(4,6),(5,7)] => [3,6,2,7,8,4,5,1] => [[1,4,5,8],[2,6,7],[3]]
[(1,7),(2,3),(4,6),(5,8)] => [3,6,2,7,8,4,1,5] => [[1,4,5,8],[2,6,7],[3]]
[(1,6),(2,3),(4,7),(5,8)] => [3,6,2,7,8,1,4,5] => [[1,4,5,8],[2,6,7],[3]]
[(1,5),(2,3),(4,7),(6,8)] => [3,5,2,7,1,8,4,6] => [[1,4,6,8],[2,5,7],[3]]
[(1,4),(2,3),(5,7),(6,8)] => [3,4,2,1,7,8,5,6] => [[1,4,5,6],[2,7,8],[3]]
[(1,3),(2,4),(5,7),(6,8)] => [3,4,1,2,7,8,5,6] => [[1,2,5,6],[3,4,7,8]]
[(1,2),(3,4),(5,7),(6,8)] => [2,1,4,3,7,8,5,6] => [[1,3,5,6],[2,4,7,8]]
[(1,2),(3,4),(5,8),(6,7)] => [2,1,4,3,7,8,6,5] => [[1,3,5,8],[2,4,6],[7]]
[(1,3),(2,4),(5,8),(6,7)] => [3,4,1,2,7,8,6,5] => [[1,2,5,8],[3,4,6],[7]]
[(1,4),(2,3),(5,8),(6,7)] => [3,4,2,1,7,8,6,5] => [[1,4,5,8],[2,6],[3,7]]
[(1,5),(2,3),(4,8),(6,7)] => [3,5,2,7,1,8,6,4] => [[1,4,6,8],[2,5],[3,7]]
[(1,6),(2,3),(4,8),(5,7)] => [3,6,2,7,8,1,5,4] => [[1,4,7,8],[2,5],[3,6]]
[(1,7),(2,3),(4,8),(5,6)] => [3,6,2,7,8,5,1,4] => [[1,4,7,8],[2,5],[3,6]]
[(1,8),(2,3),(4,7),(5,6)] => [3,6,2,7,8,5,4,1] => [[1,4,7,8],[2,5],[3],[6]]
[(1,8),(2,4),(3,7),(5,6)] => [4,6,7,2,8,5,3,1] => [[1,3,7,8],[2,5],[4],[6]]
[(1,7),(2,4),(3,8),(5,6)] => [4,6,7,2,8,5,1,3] => [[1,3,7,8],[2,5],[4,6]]
[(1,6),(2,4),(3,8),(5,7)] => [4,6,7,2,8,1,5,3] => [[1,3,7,8],[2,5],[4,6]]
[(1,5),(2,4),(3,8),(6,7)] => [4,5,7,2,1,8,6,3] => [[1,3,6,8],[2,5],[4,7]]
[(1,4),(2,5),(3,8),(6,7)] => [4,5,7,1,2,8,6,3] => [[1,2,3,8],[4,5,6],[7]]
>>> Load all 478 entries. <<<
[(1,3),(2,5),(4,8),(6,7)] => [3,5,1,7,2,8,6,4] => [[1,2,4,8],[3,5,6],[7]]
[(1,2),(3,5),(4,8),(6,7)] => [2,1,5,7,3,8,6,4] => [[1,3,4,8],[2,5,6],[7]]
[(1,2),(3,6),(4,8),(5,7)] => [2,1,6,7,8,3,5,4] => [[1,3,4,8],[2,5,7],[6]]
[(1,3),(2,6),(4,8),(5,7)] => [3,6,1,7,8,2,5,4] => [[1,2,4,8],[3,5,7],[6]]
[(1,4),(2,6),(3,8),(5,7)] => [4,6,7,1,8,2,5,3] => [[1,2,3,8],[4,5,7],[6]]
[(1,5),(2,6),(3,8),(4,7)] => [5,6,7,8,1,2,4,3] => [[1,2,3,8],[4,6,7],[5]]
[(1,6),(2,5),(3,8),(4,7)] => [5,6,7,8,2,1,4,3] => [[1,3,7,8],[2,4],[5,6]]
[(1,7),(2,5),(3,8),(4,6)] => [5,6,7,8,2,4,1,3] => [[1,3,7,8],[2,4],[5,6]]
[(1,8),(2,5),(3,7),(4,6)] => [5,6,7,8,2,4,3,1] => [[1,3,7,8],[2,6],[4],[5]]
[(1,8),(2,6),(3,7),(4,5)] => [5,6,7,8,4,2,3,1] => [[1,3,7,8],[2,6],[4],[5]]
[(1,7),(2,6),(3,8),(4,5)] => [5,6,7,8,4,2,1,3] => [[1,3,7,8],[2,6],[4],[5]]
[(1,6),(2,7),(3,8),(4,5)] => [5,6,7,8,4,1,2,3] => [[1,2,3,8],[4,6,7],[5]]
[(1,5),(2,7),(3,8),(4,6)] => [5,6,7,8,1,4,2,3] => [[1,2,3,8],[4,6,7],[5]]
[(1,4),(2,7),(3,8),(5,6)] => [4,6,7,1,8,5,2,3] => [[1,2,3,8],[4,5,7],[6]]
[(1,3),(2,7),(4,8),(5,6)] => [3,6,1,7,8,5,2,4] => [[1,2,4,8],[3,5,7],[6]]
[(1,2),(3,7),(4,8),(5,6)] => [2,1,6,7,8,5,3,4] => [[1,3,4,8],[2,5,7],[6]]
[(1,2),(3,8),(4,7),(5,6)] => [2,1,6,7,8,5,4,3] => [[1,3,7,8],[2,4],[5],[6]]
[(1,3),(2,8),(4,7),(5,6)] => [3,6,1,7,8,5,4,2] => [[1,2,7,8],[3,4],[5],[6]]
[(1,4),(2,8),(3,7),(5,6)] => [4,6,7,1,8,5,3,2] => [[1,2,7,8],[3,5],[4],[6]]
[(1,5),(2,8),(3,7),(4,6)] => [5,6,7,8,1,4,3,2] => [[1,2,7,8],[3,6],[4],[5]]
[(1,6),(2,8),(3,7),(4,5)] => [5,6,7,8,4,1,3,2] => [[1,2,7,8],[3,6],[4],[5]]
[(1,7),(2,8),(3,6),(4,5)] => [5,6,7,8,4,3,1,2] => [[1,2,7,8],[3,6],[4],[5]]
[(1,8),(2,7),(3,6),(4,5)] => [5,6,7,8,4,3,2,1] => [[1,6,7,8],[2],[3],[4],[5]]
[(1,2),(3,4),(5,6),(7,8),(9,10)] => [2,1,4,3,6,5,8,7,10,9] => [[1,3,5,7,9],[2,4,6,8,10]]
[(1,3),(2,4),(5,6),(7,8),(9,10)] => [3,4,1,2,6,5,8,7,10,9] => [[1,2,5,7,9],[3,4,6,8,10]]
[(1,4),(2,3),(5,6),(7,8),(9,10)] => [3,4,2,1,6,5,8,7,10,9] => [[1,4,5,7,9],[2,6,8,10],[3]]
[(1,6),(2,3),(4,5),(7,8),(9,10)] => [3,5,2,6,4,1,8,7,10,9] => [[1,4,6,7,9],[2,5,8,10],[3]]
[(1,8),(2,3),(4,5),(6,7),(9,10)] => [3,5,2,7,4,8,6,1,10,9] => [[1,4,6,8,9],[2,5,7,10],[3]]
[(1,10),(2,3),(4,5),(6,7),(8,9)] => [3,5,2,7,4,9,6,10,8,1] => [[1,4,6,8,10],[2,5,7,9],[3]]
[(1,4),(2,5),(3,6),(7,8),(9,10)] => [4,5,6,1,2,3,8,7,10,9] => [[1,2,3,7,9],[4,5,6,8,10]]
[(1,3),(2,5),(4,6),(7,8),(9,10)] => [3,5,1,6,2,4,8,7,10,9] => [[1,2,4,7,9],[3,5,6,8,10]]
[(1,2),(3,5),(4,6),(7,8),(9,10)] => [2,1,5,6,3,4,8,7,10,9] => [[1,3,4,7,9],[2,5,6,8,10]]
[(1,2),(3,6),(4,5),(7,8),(9,10)] => [2,1,5,6,4,3,8,7,10,9] => [[1,3,6,7,9],[2,4,8,10],[5]]
[(1,6),(2,5),(3,4),(7,8),(9,10)] => [4,5,6,3,2,1,8,7,10,9] => [[1,5,6,7,9],[2,8,10],[3],[4]]
[(1,8),(2,5),(3,4),(6,7),(9,10)] => [4,5,7,3,2,8,6,1,10,9] => [[1,5,6,8,9],[2,7,10],[3],[4]]
[(1,10),(2,5),(3,4),(6,7),(8,9)] => [4,5,7,3,2,9,6,10,8,1] => [[1,5,6,8,10],[2,7,9],[3],[4]]
[(1,2),(3,8),(4,5),(6,7),(9,10)] => [2,1,5,7,4,8,6,3,10,9] => [[1,3,6,8,9],[2,4,7,10],[5]]
[(1,8),(2,7),(3,4),(5,6),(9,10)] => [4,6,7,3,8,5,2,1,10,9] => [[1,5,7,8,9],[2,6,10],[3],[4]]
[(1,10),(2,7),(3,4),(5,6),(8,9)] => [4,6,7,3,9,5,2,10,8,1] => [[1,5,7,8,10],[2,6,9],[3],[4]]
[(1,2),(3,10),(4,5),(6,7),(8,9)] => [2,1,5,7,4,9,6,10,8,3] => [[1,3,6,8,10],[2,4,7,9],[5]]
[(1,10),(2,9),(3,4),(5,6),(7,8)] => [4,6,8,3,9,5,10,7,2,1] => [[1,5,7,9,10],[2,6,8],[3],[4]]
[(1,5),(2,6),(3,7),(4,8),(9,10)] => [5,6,7,8,1,2,3,4,10,9] => [[1,2,3,4,9],[5,6,7,8,10]]
[(1,4),(2,6),(3,7),(5,8),(9,10)] => [4,6,7,1,8,2,3,5,10,9] => [[1,2,3,5,9],[4,6,7,8,10]]
[(1,3),(2,6),(4,7),(5,8),(9,10)] => [3,6,1,7,8,2,4,5,10,9] => [[1,2,4,5,9],[3,6,7,8,10]]
[(1,2),(3,6),(4,7),(5,8),(9,10)] => [2,1,6,7,8,3,4,5,10,9] => [[1,3,4,5,9],[2,6,7,8,10]]
[(1,2),(3,5),(4,7),(6,8),(9,10)] => [2,1,5,7,3,8,4,6,10,9] => [[1,3,4,6,9],[2,5,7,8,10]]
[(1,3),(2,5),(4,7),(6,8),(9,10)] => [3,5,1,7,2,8,4,6,10,9] => [[1,2,4,6,9],[3,5,7,8,10]]
[(1,4),(2,5),(3,7),(6,8),(9,10)] => [4,5,7,1,2,8,3,6,10,9] => [[1,2,3,6,9],[4,5,7,8,10]]
[(1,3),(2,4),(5,7),(6,8),(9,10)] => [3,4,1,2,7,8,5,6,10,9] => [[1,2,5,6,9],[3,4,7,8,10]]
[(1,2),(3,4),(5,7),(6,8),(9,10)] => [2,1,4,3,7,8,5,6,10,9] => [[1,3,5,6,9],[2,4,7,8,10]]
[(1,2),(3,4),(5,8),(6,7),(9,10)] => [2,1,4,3,7,8,6,5,10,9] => [[1,3,5,8,9],[2,4,6,10],[7]]
[(1,4),(2,3),(5,8),(6,7),(9,10)] => [3,4,2,1,7,8,6,5,10,9] => [[1,4,5,8,9],[2,6,10],[3,7]]
[(1,8),(2,3),(4,7),(5,6),(9,10)] => [3,6,2,7,8,5,4,1,10,9] => [[1,4,7,8,9],[2,5,10],[3],[6]]
[(1,10),(2,3),(4,7),(5,6),(8,9)] => [3,6,2,7,9,5,4,10,8,1] => [[1,4,7,8,10],[2,5,9],[3],[6]]
[(1,2),(3,8),(4,7),(5,6),(9,10)] => [2,1,6,7,8,5,4,3,10,9] => [[1,3,7,8,9],[2,4,10],[5],[6]]
[(1,8),(2,7),(3,6),(4,5),(9,10)] => [5,6,7,8,4,3,2,1,10,9] => [[1,6,7,8,9],[2,10],[3],[4],[5]]
[(1,10),(2,7),(3,6),(4,5),(8,9)] => [5,6,7,9,4,3,2,10,8,1] => [[1,6,7,8,10],[2,9],[3],[4],[5]]
[(1,2),(3,10),(4,7),(5,6),(8,9)] => [2,1,6,7,9,5,4,10,8,3] => [[1,3,7,8,10],[2,4,9],[5],[6]]
[(1,10),(2,9),(3,6),(4,5),(7,8)] => [5,6,8,9,4,3,10,7,2,1] => [[1,6,7,9,10],[2,8],[3],[4],[5]]
[(1,2),(3,4),(5,10),(6,7),(8,9)] => [2,1,4,3,7,9,6,10,8,5] => [[1,3,5,8,10],[2,4,6,9],[7]]
[(1,4),(2,3),(5,10),(6,7),(8,9)] => [3,4,2,1,7,9,6,10,8,5] => [[1,4,5,8,10],[2,6,9],[3,7]]
[(1,10),(2,3),(4,9),(5,6),(7,8)] => [3,6,2,8,9,5,10,7,4,1] => [[1,4,7,9,10],[2,5,8],[3],[6]]
[(1,2),(3,10),(4,9),(5,6),(7,8)] => [2,1,6,8,9,5,10,7,4,3] => [[1,3,7,9,10],[2,4,8],[5],[6]]
[(1,10),(2,9),(3,8),(4,5),(6,7)] => [5,7,8,9,4,10,6,3,2,1] => [[1,6,8,9,10],[2,7],[3],[4],[5]]
[(1,6),(2,10),(3,9),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,3,2] => [[1,2,5,9,10],[3,7,8],[4],[6]]
[(1,6),(2,9),(3,10),(4,7),(5,8)] => [6,7,8,9,10,1,4,5,2,3] => [[1,2,3,9,10],[4,5,8],[6,7]]
[(1,9),(2,8),(3,7),(4,6),(5,10)] => [6,7,8,9,10,4,3,2,1,5] => [[1,5,8,9,10],[2,7],[3],[4],[6]]
[(1,6),(2,10),(3,7),(4,8),(5,9)] => [6,7,8,9,10,1,3,4,5,2] => [[1,2,4,5,10],[3,7,8,9],[6]]
[(1,8),(2,9),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,1,2,5] => [[1,2,5,9,10],[3,4,8],[6,7]]
[(1,9),(2,8),(3,6),(4,7),(5,10)] => [6,7,8,9,10,3,4,2,1,5] => [[1,4,5,9,10],[2,7,8],[3],[6]]
[(1,2),(3,7),(4,8),(5,9),(6,10)] => [2,1,7,8,9,10,3,4,5,6] => [[1,3,4,5,6],[2,7,8,9,10]]
[(1,3),(2,7),(4,8),(5,9),(6,10)] => [3,7,1,8,9,10,2,4,5,6] => [[1,2,4,5,6],[3,7,8,9,10]]
[(1,4),(2,7),(3,8),(5,9),(6,10)] => [4,7,8,1,9,10,2,3,5,6] => [[1,2,3,5,6],[4,7,8,9,10]]
[(1,5),(2,7),(3,8),(4,9),(6,10)] => [5,7,8,9,1,10,2,3,4,6] => [[1,2,3,4,6],[5,7,8,9,10]]
[(1,6),(2,7),(3,8),(4,9),(5,10)] => [6,7,8,9,10,1,2,3,4,5] => [[1,2,3,4,5],[6,7,8,9,10]]
[(1,9),(2,6),(3,7),(4,8),(5,10)] => [6,7,8,9,10,2,3,4,1,5] => [[1,3,4,5,10],[2,7,8,9],[6]]
[(1,5),(2,6),(3,8),(4,9),(7,10)] => [5,6,8,9,1,2,10,3,4,7] => [[1,2,3,4,7],[5,6,8,9,10]]
[(1,4),(2,6),(3,8),(5,9),(7,10)] => [4,6,8,1,9,2,10,3,5,7] => [[1,2,3,5,7],[4,6,8,9,10]]
[(1,3),(2,6),(4,8),(5,9),(7,10)] => [3,6,1,8,9,2,10,4,5,7] => [[1,2,4,5,7],[3,6,8,9,10]]
[(1,2),(3,6),(4,8),(5,9),(7,10)] => [2,1,6,8,9,3,10,4,5,7] => [[1,3,4,5,7],[2,6,8,9,10]]
[(1,2),(3,5),(4,8),(6,9),(7,10)] => [2,1,5,8,3,9,10,4,6,7] => [[1,3,4,6,7],[2,5,8,9,10]]
[(1,3),(2,5),(4,8),(6,9),(7,10)] => [3,5,1,8,2,9,10,4,6,7] => [[1,2,4,6,7],[3,5,8,9,10]]
[(1,4),(2,5),(3,8),(6,9),(7,10)] => [4,5,8,1,2,9,10,3,6,7] => [[1,2,3,6,7],[4,5,8,9,10]]
[(1,3),(2,4),(5,8),(6,9),(7,10)] => [3,4,1,2,8,9,10,5,6,7] => [[1,2,5,6,7],[3,4,8,9,10]]
[(1,2),(3,4),(5,8),(6,9),(7,10)] => [2,1,4,3,8,9,10,5,6,7] => [[1,3,5,6,7],[2,4,8,9,10]]
[(1,2),(3,4),(5,7),(6,9),(8,10)] => [2,1,4,3,7,9,5,10,6,8] => [[1,3,5,6,8],[2,4,7,9,10]]
[(1,3),(2,4),(5,7),(6,9),(8,10)] => [3,4,1,2,7,9,5,10,6,8] => [[1,2,5,6,8],[3,4,7,9,10]]
[(1,4),(2,5),(3,7),(6,9),(8,10)] => [4,5,7,1,2,9,3,10,6,8] => [[1,2,3,6,8],[4,5,7,9,10]]
[(1,3),(2,5),(4,7),(6,9),(8,10)] => [3,5,1,7,2,9,4,10,6,8] => [[1,2,4,6,8],[3,5,7,9,10]]
[(1,2),(3,5),(4,7),(6,9),(8,10)] => [2,1,5,7,3,9,4,10,6,8] => [[1,3,4,6,8],[2,5,7,9,10]]
[(1,2),(3,6),(4,7),(5,9),(8,10)] => [2,1,6,7,9,3,4,10,5,8] => [[1,3,4,5,8],[2,6,7,9,10]]
[(1,3),(2,6),(4,7),(5,9),(8,10)] => [3,6,1,7,9,2,4,10,5,8] => [[1,2,4,5,8],[3,6,7,9,10]]
[(1,4),(2,6),(3,7),(5,9),(8,10)] => [4,6,7,1,9,2,3,10,5,8] => [[1,2,3,5,8],[4,6,7,9,10]]
[(1,5),(2,6),(3,7),(4,9),(8,10)] => [5,6,7,9,1,2,3,10,4,8] => [[1,2,3,4,8],[5,6,7,9,10]]
[(1,2),(3,5),(4,6),(7,9),(8,10)] => [2,1,5,6,3,4,9,10,7,8] => [[1,3,4,7,8],[2,5,6,9,10]]
[(1,3),(2,5),(4,6),(7,9),(8,10)] => [3,5,1,6,2,4,9,10,7,8] => [[1,2,4,7,8],[3,5,6,9,10]]
[(1,4),(2,5),(3,6),(7,9),(8,10)] => [4,5,6,1,2,3,9,10,7,8] => [[1,2,3,7,8],[4,5,6,9,10]]
[(1,3),(2,4),(5,6),(7,9),(8,10)] => [3,4,1,2,6,5,9,10,7,8] => [[1,2,5,7,8],[3,4,6,9,10]]
[(1,2),(3,4),(5,6),(7,9),(8,10)] => [2,1,4,3,6,5,9,10,7,8] => [[1,3,5,7,8],[2,4,6,9,10]]
[(1,2),(3,4),(5,6),(7,10),(8,9)] => [2,1,4,3,6,5,9,10,8,7] => [[1,3,5,7,10],[2,4,6,8],[9]]
[(1,4),(2,3),(5,6),(7,10),(8,9)] => [3,4,2,1,6,5,9,10,8,7] => [[1,4,5,7,10],[2,6,8],[3,9]]
[(1,6),(2,3),(4,5),(7,10),(8,9)] => [3,5,2,6,4,1,9,10,8,7] => [[1,4,6,7,10],[2,5,8],[3,9]]
[(1,10),(2,3),(4,5),(6,9),(7,8)] => [3,5,2,8,4,9,10,7,6,1] => [[1,4,6,9,10],[2,5,7],[3],[8]]
[(1,2),(3,6),(4,5),(7,10),(8,9)] => [2,1,5,6,4,3,9,10,8,7] => [[1,3,6,7,10],[2,4,8],[5,9]]
[(1,6),(2,5),(3,4),(7,10),(8,9)] => [4,5,6,3,2,1,9,10,8,7] => [[1,5,6,7,10],[2,8],[3,9],[4]]
[(1,10),(2,5),(3,4),(6,9),(7,8)] => [4,5,8,3,2,9,10,7,6,1] => [[1,5,6,9,10],[2,7],[3,8],[4]]
[(1,2),(3,10),(4,5),(6,9),(7,8)] => [2,1,5,8,4,9,10,7,6,3] => [[1,3,6,9,10],[2,4,7],[5],[8]]
[(1,10),(2,9),(3,4),(5,8),(6,7)] => [4,7,8,3,9,10,6,5,2,1] => [[1,5,8,9,10],[2,6],[3],[4],[7]]
[(1,2),(3,4),(5,10),(6,9),(7,8)] => [2,1,4,3,8,9,10,7,6,5] => [[1,3,5,9,10],[2,4,6],[7],[8]]
[(1,4),(2,3),(5,10),(6,9),(7,8)] => [3,4,2,1,8,9,10,7,6,5] => [[1,4,5,9,10],[2,6],[3,7],[8]]
[(1,10),(2,3),(4,9),(5,8),(6,7)] => [3,7,2,8,9,10,6,5,4,1] => [[1,4,8,9,10],[2,5],[3],[6],[7]]
[(1,2),(3,10),(4,9),(5,8),(6,7)] => [2,1,7,8,9,10,6,5,4,3] => [[1,3,8,9,10],[2,4],[5],[6],[7]]
[(1,6),(2,10),(3,9),(4,8),(5,7)] => [6,7,8,9,10,1,5,4,3,2] => [[1,2,8,9,10],[3,7],[4],[5],[6]]
[(1,10),(2,9),(3,8),(4,7),(5,6)] => [6,7,8,9,10,5,4,3,2,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]]
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)] => [7,8,9,10,11,12,6,5,4,3,2,1] => [[1,8,9,10,11,12],[2],[3],[4],[5],[6],[7]]
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)] => [2,1,7,8,9,10,6,5,4,3,12,11] => [[1,3,8,9,10,11],[2,4,12],[5],[6],[7]]
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)] => [3,7,2,8,9,11,6,5,4,12,10,1] => [[1,4,8,9,10,12],[2,5,11],[3],[6],[7]]
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)] => [2,1,7,8,9,11,6,5,4,12,10,3] => [[1,3,8,9,10,12],[2,4,11],[5],[6],[7]]
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)] => [3,7,2,8,9,10,6,5,4,1,12,11] => [[1,4,8,9,10,11],[2,5,12],[3],[6],[7]]
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)] => [4,7,8,3,10,11,6,5,12,9,2,1] => [[1,5,8,9,11,12],[2,6,10],[3],[4],[7]]
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)] => [2,1,4,3,7,8,6,5,10,9,12,11] => [[1,3,5,8,9,11],[2,4,6,10,12],[7]]
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)] => [3,7,2,8,10,11,6,5,12,9,4,1] => [[1,4,8,9,11,12],[2,5,10],[3],[6],[7]]
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)] => [2,1,7,8,10,11,6,5,12,9,4,3] => [[1,3,8,9,11,12],[2,4,10],[5],[6],[7]]
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)] => [3,4,2,1,7,8,6,5,10,9,12,11] => [[1,4,5,8,9,11],[2,6,10,12],[3,7]]
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)] => [4,7,8,3,9,11,6,5,2,12,10,1] => [[1,5,8,9,10,12],[2,6,11],[3],[4],[7]]
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)] => [2,1,4,3,7,8,6,5,11,12,10,9] => [[1,3,5,8,9,12],[2,4,6,10],[7,11]]
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)] => [4,7,8,3,9,10,6,5,2,1,12,11] => [[1,5,8,9,10,11],[2,6,12],[3],[4],[7]]
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)] => [3,4,2,1,7,8,6,5,11,12,10,9] => [[1,4,5,8,9,12],[2,6,10],[3,7,11]]
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)] => [5,7,9,10,4,11,6,12,8,3,2,1] => [[1,6,8,10,11,12],[2,7,9],[3],[4],[5]]
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)] => [2,1,5,7,4,9,6,10,8,3,12,11] => [[1,3,6,8,10,11],[2,4,7,9,12],[5]]
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)] => [3,5,2,7,4,9,6,11,8,12,10,1] => [[1,4,6,8,10,12],[2,5,7,9,11],[3]]
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)] => [2,1,5,7,4,9,6,11,8,12,10,3] => [[1,3,6,8,10,12],[2,4,7,9,11],[5]]
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)] => [3,5,2,7,4,9,6,10,8,1,12,11] => [[1,4,6,8,10,11],[2,5,7,9,12],[3]]
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)] => [4,7,9,3,10,11,6,12,8,5,2,1] => [[1,5,8,10,11,12],[2,6,9],[3],[4],[7]]
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)] => [2,1,4,3,7,9,6,10,8,5,12,11] => [[1,3,5,8,10,11],[2,4,6,9,12],[7]]
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)] => [3,7,2,9,10,11,6,12,8,5,4,1] => [[1,4,8,10,11,12],[2,5,9],[3],[6],[7]]
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)] => [2,1,7,9,10,11,6,12,8,5,4,3] => [[1,3,8,10,11,12],[2,4,9],[5],[6],[7]]
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)] => [3,4,2,1,7,9,6,10,8,5,12,11] => [[1,4,5,8,10,11],[2,6,9,12],[3,7]]
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)] => [4,5,7,3,2,9,6,11,8,12,10,1] => [[1,5,6,8,10,12],[2,7,9,11],[3],[4]]
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)] => [2,1,4,3,7,9,6,11,8,12,10,5] => [[1,3,5,8,10,12],[2,4,6,9,11],[7]]
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)] => [4,5,7,3,2,9,6,10,8,1,12,11] => [[1,5,6,8,10,11],[2,7,9,12],[3],[4]]
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)] => [3,4,2,1,7,9,6,11,8,12,10,5] => [[1,4,5,8,10,12],[2,6,9,11],[3,7]]
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)] => [5,7,8,10,4,11,6,3,12,9,2,1] => [[1,6,8,9,11,12],[2,7,10],[3],[4],[5]]
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)] => [2,1,5,7,4,8,6,3,10,9,12,11] => [[1,3,6,8,9,11],[2,4,7,10,12],[5]]
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)] => [3,5,2,7,4,10,6,11,12,9,8,1] => [[1,4,6,8,11,12],[2,5,7,9],[3],[10]]
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)] => [2,1,5,7,4,10,6,11,12,9,8,3] => [[1,3,6,8,11,12],[2,4,7,9],[5],[10]]
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)] => [3,5,2,7,4,8,6,1,10,9,12,11] => [[1,4,6,8,9,11],[2,5,7,10,12],[3]]
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)] => [5,7,8,9,4,11,6,3,2,12,10,1] => [[1,6,8,9,10,12],[2,7,11],[3],[4],[5]]
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)] => [2,1,5,7,4,8,6,3,11,12,10,9] => [[1,3,6,8,9,12],[2,4,7,10],[5,11]]
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)] => [5,7,8,9,4,10,6,3,2,1,12,11] => [[1,6,8,9,10,11],[2,7,12],[3],[4],[5]]
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)] => [3,5,2,7,4,8,6,1,11,12,10,9] => [[1,4,6,8,9,12],[2,5,7,10],[3,11]]
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)] => [4,5,7,3,2,10,6,11,12,9,8,1] => [[1,5,6,8,11,12],[2,7,9],[3,10],[4]]
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)] => [2,1,4,3,7,10,6,11,12,9,8,5] => [[1,3,5,8,11,12],[2,4,6,9],[7],[10]]
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)] => [4,5,7,3,2,8,6,1,10,9,12,11] => [[1,5,6,8,9,11],[2,7,10,12],[3],[4]]
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)] => [3,4,2,1,7,10,6,11,12,9,8,5] => [[1,4,5,8,11,12],[2,6,9],[3,7],[10]]
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)] => [4,5,7,3,2,8,6,1,11,12,10,9] => [[1,5,6,8,9,12],[2,7,10],[3,11],[4]]
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)] => [6,8,9,10,11,5,12,7,4,3,2,1] => [[1,7,9,10,11,12],[2,8],[3],[4],[5],[6]]
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)] => [2,1,6,8,9,5,10,7,4,3,12,11] => [[1,3,7,9,10,11],[2,4,8,12],[5],[6]]
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)] => [3,6,2,8,9,5,11,7,4,12,10,1] => [[1,4,7,9,10,12],[2,5,8,11],[3],[6]]
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)] => [2,1,6,8,9,5,11,7,4,12,10,3] => [[1,3,7,9,10,12],[2,4,8,11],[5],[6]]
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)] => [3,6,2,8,9,5,10,7,4,1,12,11] => [[1,4,7,9,10,11],[2,5,8,12],[3],[6]]
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)] => [4,6,8,3,10,5,11,7,12,9,2,1] => [[1,5,7,9,11,12],[2,6,8,10],[3],[4]]
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)] => [2,1,4,3,6,5,8,7,10,9,12,11] => [[1,3,5,7,9,11],[2,4,6,8,10,12]]
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)] => [3,6,2,8,10,5,11,7,12,9,4,1] => [[1,4,7,9,11,12],[2,5,8,10],[3],[6]]
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)] => [2,1,6,8,10,5,11,7,12,9,4,3] => [[1,3,7,9,11,12],[2,4,8,10],[5],[6]]
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)] => [3,4,2,1,6,5,8,7,10,9,12,11] => [[1,4,5,7,9,11],[2,6,8,10,12],[3]]
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)] => [4,6,8,3,9,5,11,7,2,12,10,1] => [[1,5,7,9,10,12],[2,6,8,11],[3],[4]]
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)] => [2,1,4,3,6,5,8,7,11,12,10,9] => [[1,3,5,7,9,12],[2,4,6,8,10],[11]]
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)] => [4,6,8,3,9,5,10,7,2,1,12,11] => [[1,5,7,9,10,11],[2,6,8,12],[3],[4]]
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)] => [3,4,2,1,6,5,8,7,11,12,10,9] => [[1,4,5,7,9,12],[2,6,8,10],[3,11]]
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)] => [5,8,9,10,4,11,12,7,6,3,2,1] => [[1,6,9,10,11,12],[2,7],[3],[4],[5],[8]]
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)] => [2,1,5,8,4,9,10,7,6,3,12,11] => [[1,3,6,9,10,11],[2,4,7,12],[5],[8]]
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)] => [3,5,2,8,4,9,11,7,6,12,10,1] => [[1,4,6,9,10,12],[2,5,7,11],[3],[8]]
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)] => [2,1,5,8,4,9,11,7,6,12,10,3] => [[1,3,6,9,10,12],[2,4,7,11],[5],[8]]
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)] => [3,5,2,8,4,9,10,7,6,1,12,11] => [[1,4,6,9,10,11],[2,5,7,12],[3],[8]]
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)] => [4,8,9,3,10,11,12,7,6,5,2,1] => [[1,5,9,10,11,12],[2,6],[3],[4],[7],[8]]
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)] => [2,1,4,3,8,9,10,7,6,5,12,11] => [[1,3,5,9,10,11],[2,4,6,12],[7],[8]]
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)] => [3,8,2,9,10,11,12,7,6,5,4,1] => [[1,4,9,10,11,12],[2,5],[3],[6],[7],[8]]
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)] => [2,1,8,9,10,11,12,7,6,5,4,3] => [[1,3,9,10,11,12],[2,4],[5],[6],[7],[8]]
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)] => [3,4,2,1,8,9,10,7,6,5,12,11] => [[1,4,5,9,10,11],[2,6,12],[3,7],[8]]
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)] => [4,5,8,3,2,9,11,7,6,12,10,1] => [[1,5,6,9,10,12],[2,7,11],[3,8],[4]]
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)] => [2,1,4,3,8,9,11,7,6,12,10,5] => [[1,3,5,9,10,12],[2,4,6,11],[7],[8]]
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)] => [4,5,8,3,2,9,10,7,6,1,12,11] => [[1,5,6,9,10,11],[2,7,12],[3,8],[4]]
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)] => [3,4,2,1,8,9,11,7,6,12,10,5] => [[1,4,5,9,10,12],[2,6,11],[3,7],[8]]
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)] => [5,6,8,10,4,3,11,7,12,9,2,1] => [[1,6,7,9,11,12],[2,8,10],[3],[4],[5]]
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)] => [2,1,5,6,4,3,8,7,10,9,12,11] => [[1,3,6,7,9,11],[2,4,8,10,12],[5]]
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)] => [3,5,2,8,4,10,11,7,12,9,6,1] => [[1,4,6,9,11,12],[2,5,7,10],[3],[8]]
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)] => [2,1,5,8,4,10,11,7,12,9,6,3] => [[1,3,6,9,11,12],[2,4,7,10],[5],[8]]
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)] => [3,5,2,6,4,1,8,7,10,9,12,11] => [[1,4,6,7,9,11],[2,5,8,10,12],[3]]
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)] => [5,6,8,9,4,3,11,7,2,12,10,1] => [[1,6,7,9,10,12],[2,8,11],[3],[4],[5]]
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)] => [2,1,5,6,4,3,8,7,11,12,10,9] => [[1,3,6,7,9,12],[2,4,8,10],[5,11]]
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)] => [5,6,8,9,4,3,10,7,2,1,12,11] => [[1,6,7,9,10,11],[2,8,12],[3],[4],[5]]
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)] => [3,5,2,6,4,1,8,7,11,12,10,9] => [[1,4,6,7,9,12],[2,5,8,10],[3,11]]
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)] => [4,5,8,3,2,10,11,7,12,9,6,1] => [[1,5,6,9,11,12],[2,7,10],[3,8],[4]]
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)] => [2,1,4,3,8,10,11,7,12,9,6,5] => [[1,3,5,9,11,12],[2,4,6,10],[7],[8]]
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)] => [4,5,6,3,2,1,8,7,10,9,12,11] => [[1,5,6,7,9,11],[2,8,10,12],[3],[4]]
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)] => [3,4,2,1,8,10,11,7,12,9,6,5] => [[1,4,5,9,11,12],[2,6,10],[3,7],[8]]
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)] => [4,5,6,3,2,1,8,7,11,12,10,9] => [[1,5,6,7,9,12],[2,8,10],[3,11],[4]]
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)] => [6,7,9,10,11,5,4,12,8,3,2,1] => [[1,7,8,10,11,12],[2,9],[3],[4],[5],[6]]
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)] => [2,1,6,7,9,5,4,10,8,3,12,11] => [[1,3,7,8,10,11],[2,4,9,12],[5],[6]]
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)] => [3,6,2,7,9,5,4,11,8,12,10,1] => [[1,4,7,8,10,12],[2,5,9,11],[3],[6]]
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)] => [2,1,6,7,9,5,4,11,8,12,10,3] => [[1,3,7,8,10,12],[2,4,9,11],[5],[6]]
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)] => [3,6,2,7,9,5,4,10,8,1,12,11] => [[1,4,7,8,10,11],[2,5,9,12],[3],[6]]
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)] => [4,6,9,3,10,5,11,12,8,7,2,1] => [[1,5,7,10,11,12],[2,6,8],[3],[4],[9]]
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)] => [2,1,4,3,6,5,9,10,8,7,12,11] => [[1,3,5,7,10,11],[2,4,6,8,12],[9]]
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)] => [3,6,2,9,10,5,11,12,8,7,4,1] => [[1,4,7,10,11,12],[2,5,8],[3],[6],[9]]
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)] => [2,1,6,9,10,5,11,12,8,7,4,3] => [[1,3,7,10,11,12],[2,4,8],[5],[6],[9]]
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)] => [3,4,2,1,6,5,9,10,8,7,12,11] => [[1,4,5,7,10,11],[2,6,8,12],[3,9]]
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)] => [4,6,7,3,9,5,2,11,8,12,10,1] => [[1,5,7,8,10,12],[2,6,9,11],[3],[4]]
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)] => [2,1,4,3,6,5,9,11,8,12,10,7] => [[1,3,5,7,10,12],[2,4,6,8,11],[9]]
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)] => [4,6,7,3,9,5,2,10,8,1,12,11] => [[1,5,7,8,10,11],[2,6,9,12],[3],[4]]
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)] => [3,4,2,1,6,5,9,11,8,12,10,7] => [[1,4,5,7,10,12],[2,6,8,11],[3,9]]
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)] => [6,7,8,10,11,5,4,3,12,9,2,1] => [[1,7,8,9,11,12],[2,10],[3],[4],[5],[6]]
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)] => [2,1,6,7,8,5,4,3,10,9,12,11] => [[1,3,7,8,9,11],[2,4,10,12],[5],[6]]
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)] => [3,6,2,7,10,5,4,11,12,9,8,1] => [[1,4,7,8,11,12],[2,5,9],[3,10],[6]]
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)] => [2,1,6,7,10,5,4,11,12,9,8,3] => [[1,3,7,8,11,12],[2,4,9],[5,10],[6]]
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)] => [3,6,2,7,8,5,4,1,10,9,12,11] => [[1,4,7,8,9,11],[2,5,10,12],[3],[6]]
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)] => [6,7,8,9,11,5,4,3,2,12,10,1] => [[1,7,8,9,10,12],[2,11],[3],[4],[5],[6]]
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)] => [2,1,6,7,8,5,4,3,11,12,10,9] => [[1,3,7,8,9,12],[2,4,10],[5,11],[6]]
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)] => [6,7,8,9,10,5,4,3,2,1,12,11] => [[1,7,8,9,10,11],[2,12],[3],[4],[5],[6]]
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)] => [3,6,2,7,8,5,4,1,11,12,10,9] => [[1,4,7,8,9,12],[2,5,10],[3,11],[6]]
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)] => [4,6,7,3,10,5,2,11,12,9,8,1] => [[1,5,7,8,11,12],[2,6,9],[3,10],[4]]
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)] => [2,1,4,3,6,5,10,11,12,9,8,7] => [[1,3,5,7,11,12],[2,4,6,8],[9],[10]]
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)] => [4,6,7,3,8,5,2,1,10,9,12,11] => [[1,5,7,8,9,11],[2,6,10,12],[3],[4]]
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)] => [3,4,2,1,6,5,10,11,12,9,8,7] => [[1,4,5,7,11,12],[2,6,8],[3,9],[10]]
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)] => [4,6,7,3,8,5,2,1,11,12,10,9] => [[1,5,7,8,9,12],[2,6,10],[3,11],[4]]
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)] => [5,6,9,10,4,3,11,12,8,7,2,1] => [[1,6,7,10,11,12],[2,8],[3,9],[4],[5]]
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)] => [2,1,5,6,4,3,9,10,8,7,12,11] => [[1,3,6,7,10,11],[2,4,8,12],[5,9]]
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)] => [3,5,2,9,4,10,11,12,8,7,6,1] => [[1,4,6,10,11,12],[2,5,7],[3],[8],[9]]
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)] => [2,1,5,9,4,10,11,12,8,7,6,3] => [[1,3,6,10,11,12],[2,4,7],[5],[8],[9]]
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)] => [3,5,2,6,4,1,9,10,8,7,12,11] => [[1,4,6,7,10,11],[2,5,8,12],[3,9]]
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)] => [5,6,7,9,4,3,2,11,8,12,10,1] => [[1,6,7,8,10,12],[2,9,11],[3],[4],[5]]
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)] => [2,1,5,6,4,3,9,11,8,12,10,7] => [[1,3,6,7,10,12],[2,4,8,11],[5,9]]
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)] => [5,6,7,9,4,3,2,10,8,1,12,11] => [[1,6,7,8,10,11],[2,9,12],[3],[4],[5]]
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)] => [3,5,2,6,4,1,9,11,8,12,10,7] => [[1,4,6,7,10,12],[2,5,8,11],[3,9]]
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)] => [4,5,9,3,2,10,11,12,8,7,6,1] => [[1,5,6,10,11,12],[2,7],[3,8],[4],[9]]
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)] => [2,1,4,3,9,10,11,12,8,7,6,5] => [[1,3,5,10,11,12],[2,4,6],[7],[8],[9]]
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)] => [4,5,6,3,2,1,9,10,8,7,12,11] => [[1,5,6,7,10,11],[2,8,12],[3,9],[4]]
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)] => [3,4,2,1,9,10,11,12,8,7,6,5] => [[1,4,5,10,11,12],[2,6],[3,7],[8],[9]]
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)] => [4,5,6,3,2,1,9,11,8,12,10,7] => [[1,5,6,7,10,12],[2,8,11],[3,9],[4]]
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)] => [5,6,7,10,4,3,2,11,12,9,8,1] => [[1,6,7,8,11,12],[2,9],[3,10],[4],[5]]
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)] => [2,1,5,6,4,3,10,11,12,9,8,7] => [[1,3,6,7,11,12],[2,4,8],[5,9],[10]]
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)] => [5,6,7,8,4,3,2,1,10,9,12,11] => [[1,6,7,8,9,11],[2,10,12],[3],[4],[5]]
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)] => [3,5,2,6,4,1,10,11,12,9,8,7] => [[1,4,6,7,11,12],[2,5,8],[3,9],[10]]
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)] => [5,6,7,8,4,3,2,1,11,12,10,9] => [[1,6,7,8,9,12],[2,10],[3,11],[4],[5]]
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)] => [4,5,6,3,2,1,10,11,12,9,8,7] => [[1,5,6,7,11,12],[2,8],[3,9],[4,10]]
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)] => [2,1,4,3,6,5,8,7,11,12,9,10] => [[1,3,5,7,9,10],[2,4,6,8,11,12]]
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)] => [2,1,4,3,6,5,9,10,7,8,12,11] => [[1,3,5,7,8,11],[2,4,6,9,10,12]]
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)] => [2,1,4,3,6,5,9,11,7,12,8,10] => [[1,3,5,7,8,10],[2,4,6,9,11,12]]
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)] => [2,1,4,3,6,5,10,11,12,7,8,9] => [[1,3,5,7,8,9],[2,4,6,10,11,12]]
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)] => [2,1,4,3,7,8,5,6,10,9,12,11] => [[1,3,5,6,9,11],[2,4,7,8,10,12]]
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)] => [2,1,4,3,7,8,5,6,11,12,9,10] => [[1,3,5,6,9,10],[2,4,7,8,11,12]]
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)] => [2,1,4,3,7,9,5,10,6,8,12,11] => [[1,3,5,6,8,11],[2,4,7,9,10,12]]
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)] => [2,1,4,3,7,9,5,11,6,12,8,10] => [[1,3,5,6,8,10],[2,4,7,9,11,12]]
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)] => [2,1,4,3,7,10,5,11,12,6,8,9] => [[1,3,5,6,8,9],[2,4,7,10,11,12]]
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)] => [2,1,4,3,8,9,10,5,6,7,12,11] => [[1,3,5,6,7,11],[2,4,8,9,10,12]]
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)] => [2,1,4,3,8,9,11,5,6,12,7,10] => [[1,3,5,6,7,10],[2,4,8,9,11,12]]
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)] => [2,1,4,3,8,10,11,5,12,6,7,9] => [[1,3,5,6,7,9],[2,4,8,10,11,12]]
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)] => [2,1,4,3,9,10,11,12,5,6,7,8] => [[1,3,5,6,7,8],[2,4,9,10,11,12]]
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)] => [2,1,5,6,3,4,8,7,10,9,12,11] => [[1,3,4,7,9,11],[2,5,6,8,10,12]]
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)] => [2,1,5,6,3,4,8,7,11,12,9,10] => [[1,3,4,7,9,10],[2,5,6,8,11,12]]
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)] => [2,1,5,6,3,4,9,10,7,8,12,11] => [[1,3,4,7,8,11],[2,5,6,9,10,12]]
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)] => [2,1,5,6,3,4,9,11,7,12,8,10] => [[1,3,4,7,8,10],[2,5,6,9,11,12]]
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)] => [2,1,5,6,3,4,10,11,12,7,8,9] => [[1,3,4,7,8,9],[2,5,6,10,11,12]]
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)] => [2,1,5,7,3,8,4,6,10,9,12,11] => [[1,3,4,6,9,11],[2,5,7,8,10,12]]
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)] => [2,1,5,7,3,8,4,6,11,12,9,10] => [[1,3,4,6,9,10],[2,5,7,8,11,12]]
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)] => [2,1,5,7,3,9,4,10,6,8,12,11] => [[1,3,4,6,8,11],[2,5,7,9,10,12]]
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)] => [2,1,5,7,3,9,4,11,6,12,8,10] => [[1,3,4,6,8,10],[2,5,7,9,11,12]]
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)] => [2,1,5,7,3,10,4,11,12,6,8,9] => [[1,3,4,6,8,9],[2,5,7,10,11,12]]
[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)] => [2,1,5,8,3,9,10,4,6,7,12,11] => [[1,3,4,6,7,11],[2,5,8,9,10,12]]
[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)] => [2,1,5,8,3,9,11,4,6,12,7,10] => [[1,3,4,6,7,10],[2,5,8,9,11,12]]
[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)] => [2,1,5,8,3,10,11,4,12,6,7,9] => [[1,3,4,6,7,9],[2,5,8,10,11,12]]
[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)] => [2,1,5,9,3,10,11,12,4,6,7,8] => [[1,3,4,6,7,8],[2,5,9,10,11,12]]
[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)] => [2,1,6,7,8,3,4,5,10,9,12,11] => [[1,3,4,5,9,11],[2,6,7,8,10,12]]
[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)] => [2,1,6,7,8,3,4,5,11,12,9,10] => [[1,3,4,5,9,10],[2,6,7,8,11,12]]
[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)] => [2,1,6,7,9,3,4,10,5,8,12,11] => [[1,3,4,5,8,11],[2,6,7,9,10,12]]
[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)] => [2,1,6,7,9,3,4,11,5,12,8,10] => [[1,3,4,5,8,10],[2,6,7,9,11,12]]
[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)] => [2,1,6,7,10,3,4,11,12,5,8,9] => [[1,3,4,5,8,9],[2,6,7,10,11,12]]
[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)] => [2,1,6,8,9,3,10,4,5,7,12,11] => [[1,3,4,5,7,11],[2,6,8,9,10,12]]
[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)] => [2,1,6,8,9,3,11,4,5,12,7,10] => [[1,3,4,5,7,10],[2,6,8,9,11,12]]
[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)] => [2,1,6,8,10,3,11,4,12,5,7,9] => [[1,3,4,5,7,9],[2,6,8,10,11,12]]
[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)] => [2,1,6,9,10,3,11,12,4,5,7,8] => [[1,3,4,5,7,8],[2,6,9,10,11,12]]
[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)] => [2,1,7,8,9,10,3,4,5,6,12,11] => [[1,3,4,5,6,11],[2,7,8,9,10,12]]
[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)] => [2,1,7,8,9,11,3,4,5,12,6,10] => [[1,3,4,5,6,10],[2,7,8,9,11,12]]
[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)] => [2,1,7,8,10,11,3,4,12,5,6,9] => [[1,3,4,5,6,9],[2,7,8,10,11,12]]
[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)] => [2,1,7,9,10,11,3,12,4,5,6,8] => [[1,3,4,5,6,8],[2,7,9,10,11,12]]
[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)] => [2,1,8,9,10,11,12,3,4,5,6,7] => [[1,3,4,5,6,7],[2,8,9,10,11,12]]
[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)] => [3,4,1,2,6,5,8,7,10,9,12,11] => [[1,2,5,7,9,11],[3,4,6,8,10,12]]
[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)] => [3,4,1,2,6,5,8,7,11,12,9,10] => [[1,2,5,7,9,10],[3,4,6,8,11,12]]
[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)] => [3,4,1,2,6,5,9,10,7,8,12,11] => [[1,2,5,7,8,11],[3,4,6,9,10,12]]
[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)] => [3,4,1,2,6,5,9,11,7,12,8,10] => [[1,2,5,7,8,10],[3,4,6,9,11,12]]
[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)] => [3,4,1,2,6,5,10,11,12,7,8,9] => [[1,2,5,7,8,9],[3,4,6,10,11,12]]
[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)] => [3,4,1,2,7,8,5,6,10,9,12,11] => [[1,2,5,6,9,11],[3,4,7,8,10,12]]
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)] => [3,4,1,2,7,8,5,6,11,12,9,10] => [[1,2,5,6,9,10],[3,4,7,8,11,12]]
[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)] => [3,4,1,2,7,9,5,10,6,8,12,11] => [[1,2,5,6,8,11],[3,4,7,9,10,12]]
[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)] => [3,4,1,2,7,9,5,11,6,12,8,10] => [[1,2,5,6,8,10],[3,4,7,9,11,12]]
[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)] => [3,4,1,2,7,10,5,11,12,6,8,9] => [[1,2,5,6,8,9],[3,4,7,10,11,12]]
[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)] => [3,4,1,2,8,9,10,5,6,7,12,11] => [[1,2,5,6,7,11],[3,4,8,9,10,12]]
[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)] => [3,4,1,2,8,9,11,5,6,12,7,10] => [[1,2,5,6,7,10],[3,4,8,9,11,12]]
[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)] => [3,4,1,2,8,10,11,5,12,6,7,9] => [[1,2,5,6,7,9],[3,4,8,10,11,12]]
[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)] => [3,4,1,2,9,10,11,12,5,6,7,8] => [[1,2,5,6,7,8],[3,4,9,10,11,12]]
[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)] => [3,5,1,6,2,4,8,7,10,9,12,11] => [[1,2,4,7,9,11],[3,5,6,8,10,12]]
[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)] => [3,5,1,6,2,4,8,7,11,12,9,10] => [[1,2,4,7,9,10],[3,5,6,8,11,12]]
[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)] => [3,5,1,6,2,4,9,10,7,8,12,11] => [[1,2,4,7,8,11],[3,5,6,9,10,12]]
[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)] => [3,5,1,6,2,4,9,11,7,12,8,10] => [[1,2,4,7,8,10],[3,5,6,9,11,12]]
[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)] => [3,5,1,6,2,4,10,11,12,7,8,9] => [[1,2,4,7,8,9],[3,5,6,10,11,12]]
[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)] => [3,5,1,7,2,8,4,6,10,9,12,11] => [[1,2,4,6,9,11],[3,5,7,8,10,12]]
[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)] => [3,5,1,7,2,8,4,6,11,12,9,10] => [[1,2,4,6,9,10],[3,5,7,8,11,12]]
[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)] => [3,5,1,7,2,9,4,10,6,8,12,11] => [[1,2,4,6,8,11],[3,5,7,9,10,12]]
[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)] => [3,5,1,7,2,9,4,11,6,12,8,10] => [[1,2,4,6,8,10],[3,5,7,9,11,12]]
[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)] => [3,5,1,7,2,10,4,11,12,6,8,9] => [[1,2,4,6,8,9],[3,5,7,10,11,12]]
[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)] => [3,5,1,8,2,9,10,4,6,7,12,11] => [[1,2,4,6,7,11],[3,5,8,9,10,12]]
[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)] => [3,5,1,8,2,9,11,4,6,12,7,10] => [[1,2,4,6,7,10],[3,5,8,9,11,12]]
[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)] => [3,5,1,8,2,10,11,4,12,6,7,9] => [[1,2,4,6,7,9],[3,5,8,10,11,12]]
[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)] => [3,5,1,9,2,10,11,12,4,6,7,8] => [[1,2,4,6,7,8],[3,5,9,10,11,12]]
[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)] => [3,6,1,7,8,2,4,5,10,9,12,11] => [[1,2,4,5,9,11],[3,6,7,8,10,12]]
[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)] => [3,6,1,7,8,2,4,5,11,12,9,10] => [[1,2,4,5,9,10],[3,6,7,8,11,12]]
[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)] => [3,6,1,7,9,2,4,10,5,8,12,11] => [[1,2,4,5,8,11],[3,6,7,9,10,12]]
[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)] => [3,6,1,7,9,2,4,11,5,12,8,10] => [[1,2,4,5,8,10],[3,6,7,9,11,12]]
[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)] => [3,6,1,7,10,2,4,11,12,5,8,9] => [[1,2,4,5,8,9],[3,6,7,10,11,12]]
[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)] => [3,6,1,8,9,2,10,4,5,7,12,11] => [[1,2,4,5,7,11],[3,6,8,9,10,12]]
[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)] => [3,6,1,8,9,2,11,4,5,12,7,10] => [[1,2,4,5,7,10],[3,6,8,9,11,12]]
[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)] => [3,6,1,8,10,2,11,4,12,5,7,9] => [[1,2,4,5,7,9],[3,6,8,10,11,12]]
[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)] => [3,6,1,9,10,2,11,12,4,5,7,8] => [[1,2,4,5,7,8],[3,6,9,10,11,12]]
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)] => [3,7,1,8,9,10,2,4,5,6,12,11] => [[1,2,4,5,6,11],[3,7,8,9,10,12]]
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)] => [3,7,1,8,9,11,2,4,5,12,6,10] => [[1,2,4,5,6,10],[3,7,8,9,11,12]]
[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)] => [3,7,1,8,10,11,2,4,12,5,6,9] => [[1,2,4,5,6,9],[3,7,8,10,11,12]]
[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)] => [3,7,1,9,10,11,2,12,4,5,6,8] => [[1,2,4,5,6,8],[3,7,9,10,11,12]]
[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)] => [3,8,1,9,10,11,12,2,4,5,6,7] => [[1,2,4,5,6,7],[3,8,9,10,11,12]]
[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)] => [4,5,6,1,2,3,8,7,10,9,12,11] => [[1,2,3,7,9,11],[4,5,6,8,10,12]]
[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)] => [4,5,6,1,2,3,8,7,11,12,9,10] => [[1,2,3,7,9,10],[4,5,6,8,11,12]]
[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)] => [4,5,6,1,2,3,9,10,7,8,12,11] => [[1,2,3,7,8,11],[4,5,6,9,10,12]]
[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)] => [4,5,6,1,2,3,9,11,7,12,8,10] => [[1,2,3,7,8,10],[4,5,6,9,11,12]]
[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)] => [4,5,6,1,2,3,10,11,12,7,8,9] => [[1,2,3,7,8,9],[4,5,6,10,11,12]]
[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)] => [4,5,7,1,2,8,3,6,10,9,12,11] => [[1,2,3,6,9,11],[4,5,7,8,10,12]]
[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)] => [4,5,7,1,2,8,3,6,11,12,9,10] => [[1,2,3,6,9,10],[4,5,7,8,11,12]]
[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)] => [4,5,7,1,2,9,3,10,6,8,12,11] => [[1,2,3,6,8,11],[4,5,7,9,10,12]]
[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)] => [4,5,7,1,2,9,3,11,6,12,8,10] => [[1,2,3,6,8,10],[4,5,7,9,11,12]]
[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)] => [4,5,7,1,2,10,3,11,12,6,8,9] => [[1,2,3,6,8,9],[4,5,7,10,11,12]]
[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)] => [4,5,8,1,2,9,10,3,6,7,12,11] => [[1,2,3,6,7,11],[4,5,8,9,10,12]]
[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)] => [4,5,8,1,2,9,11,3,6,12,7,10] => [[1,2,3,6,7,10],[4,5,8,9,11,12]]
[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)] => [4,5,8,1,2,10,11,3,12,6,7,9] => [[1,2,3,6,7,9],[4,5,8,10,11,12]]
[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)] => [4,5,9,1,2,10,11,12,3,6,7,8] => [[1,2,3,6,7,8],[4,5,9,10,11,12]]
[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)] => [4,6,7,1,8,2,3,5,10,9,12,11] => [[1,2,3,5,9,11],[4,6,7,8,10,12]]
[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)] => [4,6,7,1,8,2,3,5,11,12,9,10] => [[1,2,3,5,9,10],[4,6,7,8,11,12]]
[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)] => [4,6,7,1,9,2,3,10,5,8,12,11] => [[1,2,3,5,8,11],[4,6,7,9,10,12]]
[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)] => [4,6,7,1,9,2,3,11,5,12,8,10] => [[1,2,3,5,8,10],[4,6,7,9,11,12]]
[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)] => [4,6,7,1,10,2,3,11,12,5,8,9] => [[1,2,3,5,8,9],[4,6,7,10,11,12]]
[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)] => [4,6,8,1,9,2,10,3,5,7,12,11] => [[1,2,3,5,7,11],[4,6,8,9,10,12]]
[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)] => [4,6,8,1,9,2,11,3,5,12,7,10] => [[1,2,3,5,7,10],[4,6,8,9,11,12]]
[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)] => [4,6,8,1,10,2,11,3,12,5,7,9] => [[1,2,3,5,7,9],[4,6,8,10,11,12]]
[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)] => [4,6,9,1,10,2,11,12,3,5,7,8] => [[1,2,3,5,7,8],[4,6,9,10,11,12]]
[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)] => [4,7,8,1,9,10,2,3,5,6,12,11] => [[1,2,3,5,6,11],[4,7,8,9,10,12]]
[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)] => [4,7,8,1,9,11,2,3,5,12,6,10] => [[1,2,3,5,6,10],[4,7,8,9,11,12]]
[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)] => [4,7,8,1,10,11,2,3,12,5,6,9] => [[1,2,3,5,6,9],[4,7,8,10,11,12]]
[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)] => [4,7,9,1,10,11,2,12,3,5,6,8] => [[1,2,3,5,6,8],[4,7,9,10,11,12]]
[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)] => [4,8,9,1,10,11,12,2,3,5,6,7] => [[1,2,3,5,6,7],[4,8,9,10,11,12]]
[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)] => [5,6,7,8,1,2,3,4,10,9,12,11] => [[1,2,3,4,9,11],[5,6,7,8,10,12]]
[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)] => [5,6,7,8,1,2,3,4,11,12,9,10] => [[1,2,3,4,9,10],[5,6,7,8,11,12]]
[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)] => [5,6,7,9,1,2,3,10,4,8,12,11] => [[1,2,3,4,8,11],[5,6,7,9,10,12]]
[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)] => [5,6,7,9,1,2,3,11,4,12,8,10] => [[1,2,3,4,8,10],[5,6,7,9,11,12]]
[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)] => [5,6,7,10,1,2,3,11,12,4,8,9] => [[1,2,3,4,8,9],[5,6,7,10,11,12]]
[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)] => [5,6,8,9,1,2,10,3,4,7,12,11] => [[1,2,3,4,7,11],[5,6,8,9,10,12]]
[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)] => [5,6,8,9,1,2,11,3,4,12,7,10] => [[1,2,3,4,7,10],[5,6,8,9,11,12]]
[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)] => [5,6,8,10,1,2,11,3,12,4,7,9] => [[1,2,3,4,7,9],[5,6,8,10,11,12]]
[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)] => [5,6,9,10,1,2,11,12,3,4,7,8] => [[1,2,3,4,7,8],[5,6,9,10,11,12]]
[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)] => [5,7,8,9,1,10,2,3,4,6,12,11] => [[1,2,3,4,6,11],[5,7,8,9,10,12]]
[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)] => [5,7,8,9,1,11,2,3,4,12,6,10] => [[1,2,3,4,6,10],[5,7,8,9,11,12]]
[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)] => [5,7,8,10,1,11,2,3,12,4,6,9] => [[1,2,3,4,6,9],[5,7,8,10,11,12]]
[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)] => [5,7,9,10,1,11,2,12,3,4,6,8] => [[1,2,3,4,6,8],[5,7,9,10,11,12]]
[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)] => [5,8,9,10,1,11,12,2,3,4,6,7] => [[1,2,3,4,6,7],[5,8,9,10,11,12]]
[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)] => [6,7,8,9,10,1,2,3,4,5,12,11] => [[1,2,3,4,5,11],[6,7,8,9,10,12]]
[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)] => [6,7,8,9,11,1,2,3,4,12,5,10] => [[1,2,3,4,5,10],[6,7,8,9,11,12]]
[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)] => [6,7,8,10,11,1,2,3,12,4,5,9] => [[1,2,3,4,5,9],[6,7,8,10,11,12]]
[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)] => [6,7,9,10,11,1,2,12,3,4,5,8] => [[1,2,3,4,5,8],[6,7,9,10,11,12]]
[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)] => [6,8,9,10,11,1,12,2,3,4,5,7] => [[1,2,3,4,5,7],[6,8,9,10,11,12]]
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)] => [7,8,9,10,11,12,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]]
Map
non-nesting-exceedence permutation
Description
The fixed-point-free permutation with deficiencies given by the perfect matching, no alignments and no inversions between exceedences.
Put differently, the exceedences form the unique non-nesting perfect matching whose openers coincide with those of the given perfect matching.
Map
Robinson-Schensted insertion tableau
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.