Identifier
Mp00045: Integer partitions —reading tableau⟶ Standard tableaux
Mp00082: Standard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
Images
[1] => [[1]] => [[1]]
[2] => [[1,2]] => [[2,0],[1]]
[1,1] => [[1],[2]] => [[1,1],[1]]
[3] => [[1,2,3]] => [[3,0,0],[2,0],[1]]
[2,1] => [[1,3],[2]] => [[2,1,0],[1,1],[1]]
[1,1,1] => [[1],[2],[3]] => [[1,1,1],[1,1],[1]]
[4] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]]
[3,1] => [[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]]
[2,2] => [[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]]
[2,1,1] => [[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]]
[1,1,1,1] => [[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]]
[5] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[4,1] => [[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[3,2] => [[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,1,1] => [[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[2,2,1] => [[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[2,1,1,1] => [[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1] => [[1],[2],[3],[4],[5]] => [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[6] => [[1,2,3,4,5,6]] => [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[5,1] => [[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[4,2] => [[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,1,1] => [[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,3] => [[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[3,2,1] => [[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,1,1,1] => [[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,2] => [[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[2,2,1,1] => [[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[2,1,1,1,1] => [[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[7] => [[1,2,3,4,5,6,7]] => [[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[6,1] => [[1,3,4,5,6,7],[2]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[5,2] => [[1,2,5,6,7],[3,4]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,1,1] => [[1,4,5,6,7],[2],[3]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,3] => [[1,2,3,7],[4,5,6]] => [[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[4,2,1] => [[1,3,6,7],[2,5],[4]] => [[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,1,1,1] => [[1,5,6,7],[2],[3],[4]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,3,1] => [[1,3,4],[2,6,7],[5]] => [[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[3,2,2] => [[1,2,7],[3,4],[5,6]] => [[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,2,1,1] => [[1,4,7],[2,6],[3],[5]] => [[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,1,1,1,1] => [[1,6,7],[2],[3],[4],[5]] => [[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,2,1] => [[1,3],[2,5],[4,7],[6]] => [[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[2,2,1,1,1] => [[1,5],[2,7],[3],[4],[6]] => [[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,1,1,1,1,1] => [[1,7],[2],[3],[4],[5],[6]] => [[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => [[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[8] => [[1,2,3,4,5,6,7,8]] => [[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[7,1] => [[1,3,4,5,6,7,8],[2]] => [[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[6,2] => [[1,2,5,6,7,8],[3,4]] => [[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[6,1,1] => [[1,4,5,6,7,8],[2],[3]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,3] => [[1,2,3,7,8],[4,5,6]] => [[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[5,2,1] => [[1,3,6,7,8],[2,5],[4]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[5,1,1,1] => [[1,5,6,7,8],[2],[3],[4]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,4] => [[1,2,3,4],[5,6,7,8]] => [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[4,3,1] => [[1,3,4,8],[2,6,7],[5]] => [[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[4,2,2] => [[1,2,7,8],[3,4],[5,6]] => [[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,2,1,1] => [[1,4,7,8],[2,6],[3],[5]] => [[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,1,1,1,1] => [[1,6,7,8],[2],[3],[4],[5]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,3,2] => [[1,2,5],[3,4,8],[6,7]] => [[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,3,1,1] => [[1,4,5],[2,7,8],[3],[6]] => [[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,2,2,1] => [[1,3,8],[2,5],[4,7],[6]] => [[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,2,1,1,1] => [[1,5,8],[2,7],[3],[4],[6]] => [[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,1,1,1,1,1] => [[1,7,8],[2],[3],[4],[5],[6]] => [[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => [[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[2,2,1,1,1,1] => [[1,6],[2,8],[3],[4],[5],[7]] => [[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,1,1,1,1,1,1] => [[1,8],[2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => [[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[9] => [[1,2,3,4,5,6,7,8,9]] => [[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[8,1] => [[1,3,4,5,6,7,8,9],[2]] => [[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[7,2] => [[1,2,5,6,7,8,9],[3,4]] => [[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[7,1,1] => [[1,4,5,6,7,8,9],[2],[3]] => [[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[6,3] => [[1,2,3,7,8,9],[4,5,6]] => [[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[6,2,1] => [[1,3,6,7,8,9],[2,5],[4]] => [[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[6,1,1,1] => [[1,5,6,7,8,9],[2],[3],[4]] => [[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,4] => [[1,2,3,4,9],[5,6,7,8]] => [[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[5,3,1] => [[1,3,4,8,9],[2,6,7],[5]] => [[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[5,2,2] => [[1,2,7,8,9],[3,4],[5,6]] => [[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,2,1,1] => [[1,4,7,8,9],[2,6],[3],[5]] => [[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,1,1,1,1] => [[1,6,7,8,9],[2],[3],[4],[5]] => [[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,4,1] => [[1,3,4,5],[2,7,8,9],[6]] => [[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[4,3,2] => [[1,2,5,9],[3,4,8],[6,7]] => [[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,3,1,1] => [[1,4,5,9],[2,7,8],[3],[6]] => [[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,2,2,1] => [[1,3,8,9],[2,5],[4,7],[6]] => [[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,2,1,1,1] => [[1,5,8,9],[2,7],[3],[4],[6]] => [[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,1,1,1,1,1] => [[1,7,8,9],[2],[3],[4],[5],[6]] => [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => [[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[3,3,2,1] => [[1,3,6],[2,5,9],[4,8],[7]] => [[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,3,1,1,1] => [[1,5,6],[2,8,9],[3],[4],[7]] => [[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,2,2,2] => [[1,2,9],[3,4],[5,6],[7,8]] => [[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,2,2,1,1] => [[1,4,9],[2,6],[3,8],[5],[7]] => [[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,2,1,1,1,1] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,1,1,1,1,1,1] => [[1,8,9],[2],[3],[4],[5],[6],[7]] => [[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => [[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[2,2,2,1,1,1] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,1,1,1,1,1] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,1,1,1,1,1,1,1] => [[1,9],[2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[10] => [[1,2,3,4,5,6,7,8,9,10]] => [[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[9,1] => [[1,3,4,5,6,7,8,9,10],[2]] => [[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[8,2] => [[1,2,5,6,7,8,9,10],[3,4]] => [[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[8,1,1] => [[1,4,5,6,7,8,9,10],[2],[3]] => [[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[7,3] => [[1,2,3,7,8,9,10],[4,5,6]] => [[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
>>> Load all 200 entries. <<<
[7,2,1] => [[1,3,6,7,8,9,10],[2,5],[4]] => [[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[7,1,1,1] => [[1,5,6,7,8,9,10],[2],[3],[4]] => [[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[6,4] => [[1,2,3,4,9,10],[5,6,7,8]] => [[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[6,3,1] => [[1,3,4,8,9,10],[2,6,7],[5]] => [[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[6,2,2] => [[1,2,7,8,9,10],[3,4],[5,6]] => [[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[6,2,1,1] => [[1,4,7,8,9,10],[2,6],[3],[5]] => [[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[6,1,1,1,1] => [[1,6,7,8,9,10],[2],[3],[4],[5]] => [[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[5,4,1] => [[1,3,4,5,10],[2,7,8,9],[6]] => [[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[5,3,2] => [[1,2,5,9,10],[3,4,8],[6,7]] => [[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,3,1,1] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,2,2,1] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[5,2,1,1,1] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,1,1,1,1,1] => [[1,7,8,9,10],[2],[3],[4],[5],[6]] => [[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,4,2] => [[1,2,5,6],[3,4,9,10],[7,8]] => [[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,4,1,1] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,3,3] => [[1,2,3,10],[4,5,6],[7,8,9]] => [[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[4,3,2,1] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,3,1,1,1] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,2,2,2] => [[1,2,9,10],[3,4],[5,6],[7,8]] => [[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,2,2,1,1] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,2,1,1,1,1] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,1,1,1,1,1,1] => [[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[3,3,2,2] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,3,2,1,1] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,2,2,2,1] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,2,2,1,1,1] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,2,1,1,1,1,1] => [[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[3,1,1,1,1,1,1,1] => [[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => [[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[2,2,2,2,1,1] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[2,2,2,1,1,1,1] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,2,1,1,1,1,1,1] => [[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[2,1,1,1,1,1,1,1,1] => [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,4,2] => [[1,2,5,6,11],[3,4,9,10],[7,8]] => [[5,4,2,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,4,1,1] => [[1,4,5,6,11],[2,8,9,10],[3],[7]] => [[5,4,1,1,0,0,0,0,0,0,0],[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,3,3] => [[1,2,3,10,11],[4,5,6],[7,8,9]] => [[5,3,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[5,3,2,1] => [[1,3,6,10,11],[2,5,9],[4,8],[7]] => [[5,3,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[5,3,1,1,1] => [[1,5,6,10,11],[2,8,9],[3],[4],[7]] => [[5,3,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,2,2,2] => [[1,2,9,10,11],[3,4],[5,6],[7,8]] => [[5,2,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,2,2,1,1] => [[1,4,9,10,11],[2,6],[3,8],[5],[7]] => [[5,2,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,4,3] => [[1,2,3,7],[4,5,6,11],[8,9,10]] => [[4,4,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[4,4,2,1] => [[1,3,6,7],[2,5,10,11],[4,9],[8]] => [[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,4,1,1,1] => [[1,5,6,7],[2,9,10,11],[3],[4],[8]] => [[4,4,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[4,3,3,1] => [[1,3,4,11],[2,6,7],[5,9,10],[8]] => [[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[4,3,2,2] => [[1,2,7,11],[3,4,10],[5,6],[8,9]] => [[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,3,2,1,1] => [[1,4,7,11],[2,6,10],[3,9],[5],[8]] => [[4,3,2,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,2,2,2,1] => [[1,3,10,11],[2,5],[4,7],[6,9],[8]] => [[4,2,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => [[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[3,3,3,1,1] => [[1,4,5],[2,7,8],[3,10,11],[6],[9]] => [[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[3,3,2,2,1] => [[1,3,8],[2,5,11],[4,7],[6,10],[9]] => [[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[12] => [[1,2,3,4,5,6,7,8,9,10,11,12]] => [[12,0,0,0,0,0,0,0,0,0,0,0],[11,0,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[6,4,2] => [[1,2,5,6,11,12],[3,4,9,10],[7,8]] => [[6,4,2,0,0,0,0,0,0,0,0,0],[5,4,2,0,0,0,0,0,0,0,0],[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,5,1,1] => [[1,4,5,6,7],[2,9,10,11,12],[3],[8]] => [[5,5,1,1,0,0,0,0,0,0,0,0],[5,4,1,1,0,0,0,0,0,0,0],[5,3,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,4,3] => [[1,2,3,7,12],[4,5,6,11],[8,9,10]] => [[5,4,3,0,0,0,0,0,0,0,0,0],[4,4,3,0,0,0,0,0,0,0,0],[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[5,4,2,1] => [[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => [[5,4,2,1,0,0,0,0,0,0,0,0],[4,4,2,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[5,4,1,1,1] => [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => [[5,4,1,1,1,0,0,0,0,0,0,0],[4,4,1,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,3,3,1] => [[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => [[5,3,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[5,3,2,2] => [[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => [[5,3,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,3,2,1,1] => [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => [[5,3,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,2,2,2,1] => [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]] => [[5,2,2,2,1,0,0,0,0,0,0,0],[4,2,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,4,3,1] => [[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => [[4,4,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => [[4,4,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,4,2,1,1] => [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => [[4,4,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,3,3,2] => [[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => [[4,3,3,2,0,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,3,3,1,1] => [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => [[4,3,3,1,1,0,0,0,0,0,0,0],[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,3,2,2,1] => [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => [[4,3,2,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,3,3,2,1] => [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => [[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[3,3,2,2,1,1] => [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => [[3,3,2,2,1,1,0,0,0,0,0,0],[3,2,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => [[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[1,1,1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]] => [[1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[5,4,3,1] => [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]] => [[5,4,3,1,0,0,0,0,0,0,0,0,0],[4,4,3,1,0,0,0,0,0,0,0,0],[4,3,3,1,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[5,4,2,2] => [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]] => [[5,4,2,2,0,0,0,0,0,0,0,0,0],[4,4,2,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,4,2,1,1] => [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]] => [[5,4,2,1,1,0,0,0,0,0,0,0,0],[4,4,2,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,3,3,2] => [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]] => [[5,3,3,2,0,0,0,0,0,0,0,0,0],[4,3,3,2,0,0,0,0,0,0,0,0],[3,3,3,2,0,0,0,0,0,0,0],[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,3,3,1,1] => [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]] => [[5,3,3,1,1,0,0,0,0,0,0,0,0],[4,3,3,1,1,0,0,0,0,0,0,0],[3,3,3,1,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,3,2,2,1] => [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]] => [[5,3,2,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,2,2,2,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,4,3,2] => [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]] => [[4,4,3,2,0,0,0,0,0,0,0,0,0],[4,3,3,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[4,4,3,1,1] => [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]] => [[4,4,3,1,1,0,0,0,0,0,0,0,0],[4,3,3,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[4,4,2,2,1] => [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]] => [[4,4,2,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[4,2,2,2,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,3,3,2,1] => [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]] => [[4,3,3,2,1,0,0,0,0,0,0,0,0],[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[7,7] => [[1,2,3,4,5,6,7],[8,9,10,11,12,13,14]] => [[7,7,0,0,0,0,0,0,0,0,0,0,0,0],[7,6,0,0,0,0,0,0,0,0,0,0,0],[7,5,0,0,0,0,0,0,0,0,0,0],[7,4,0,0,0,0,0,0,0,0,0],[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[5,4,3,2] => [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]] => [[5,4,3,2,0,0,0,0,0,0,0,0,0,0],[4,4,3,2,0,0,0,0,0,0,0,0,0],[4,3,3,2,0,0,0,0,0,0,0,0],[4,3,2,2,0,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,4,3,1,1] => [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]] => [[5,4,3,1,1,0,0,0,0,0,0,0,0,0],[4,4,3,1,1,0,0,0,0,0,0,0,0],[4,3,3,1,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[5,4,2,2,1] => [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]] => [[5,4,2,2,1,0,0,0,0,0,0,0,0,0],[4,4,2,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[4,2,2,2,1,0,0,0,0,0,0],[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[5,3,3,2,1] => [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]] => [[5,3,3,2,1,0,0,0,0,0,0,0,0,0],[4,3,3,2,1,0,0,0,0,0,0,0,0],[3,3,3,2,1,0,0,0,0,0,0,0],[3,3,2,2,1,0,0,0,0,0,0],[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[4,4,3,2,1] => [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]] => [[4,4,3,2,1,0,0,0,0,0,0,0,0,0],[4,3,3,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => [[2,2,2,2,2,2,2,0,0,0,0,0,0,0],[2,2,2,2,2,2,1,0,0,0,0,0,0],[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[5,4,3,2,1] => [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]] => [[5,4,3,2,1,0,0,0,0,0,0,0,0,0,0],[4,4,3,2,1,0,0,0,0,0,0,0,0,0],[4,3,3,2,1,0,0,0,0,0,0,0,0],[4,3,2,2,1,0,0,0,0,0,0,0],[4,3,2,1,1,0,0,0,0,0,0],[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[8,8] => [[1,2,3,4,5,6,7,8],[9,10,11,12,13,14,15,16]] => [[8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,7,0,0,0,0,0,0,0,0,0,0,0,0,0],[8,6,0,0,0,0,0,0,0,0,0,0,0,0],[8,5,0,0,0,0,0,0,0,0,0,0,0],[8,4,0,0,0,0,0,0,0,0,0,0],[8,3,0,0,0,0,0,0,0,0,0],[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => [[2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,1,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,0,0,0,0,0,0],[2,2,2,2,2,2,1,0,0,0,0,0,0],[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[2,2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18]] => [[2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,1,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,1,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,0,0,0,0,0,0],[2,2,2,2,2,2,1,0,0,0,0,0,0],[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[2,2,2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16],[17,18],[19,20]] => [[2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,2,1,0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,1,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,1,0,0,0,0,0,0,0],[2,2,2,2,2,2,2,0,0,0,0,0,0,0],[2,2,2,2,2,2,1,0,0,0,0,0,0],[2,2,2,2,2,2,0,0,0,0,0,0],[2,2,2,2,2,1,0,0,0,0,0],[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[10,10] => [[1,2,3,4,5,6,7,8,9,10],[11,12,13,14,15,16,17,18,19,20]] => [[10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,5,0,0,0,0,0,0,0,0,0,0,0,0,0],[10,4,0,0,0,0,0,0,0,0,0,0,0,0],[10,3,0,0,0,0,0,0,0,0,0,0,0],[10,2,0,0,0,0,0,0,0,0,0,0],[10,1,0,0,0,0,0,0,0,0,0],[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[9,9] => [[1,2,3,4,5,6,7,8,9],[10,11,12,13,14,15,16,17,18]] => [[9,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,6,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,5,0,0,0,0,0,0,0,0,0,0,0,0],[9,4,0,0,0,0,0,0,0,0,0,0,0],[9,3,0,0,0,0,0,0,0,0,0,0],[9,2,0,0,0,0,0,0,0,0,0],[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.
Map
to Gelfand-Tsetlin pattern
Description
Sends a tableau to its corresponding Gelfand-Tsetlin pattern.
To obtain this Gelfand-Tsetlin pattern, fill in the first row of the pattern with the shape of the tableau.
Then remove the maximal entry from the tableau to obtain a smaller tableau, and repeat the process until the tableau is empty.