- FindStat

Identifier

Mp00106: Standard tableaux —catabolism⟶ Standard tableaux
Mp00082: Standard tableaux —to Gelfand-Tsetlin pattern⟶ Gelfand-Tsetlin patterns
Mp00036: Gelfand-Tsetlin patterns —to semistandard tableau⟶ Semistandard tableaux

Images

[[1]] => [[1]] => [[1]] => [[1]]

[[1,2]] => [[1,2]] => [[2,0],[1]] => [[1,2]]

[[1],[2]] => [[1,2]] => [[2,0],[1]] => [[1,2]]

[[1,2,3]] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => [[1,2,3]]

[[1,3],[2]] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => [[1,2],[3]]

[[1,2],[3]] => [[1,2,3]] => [[3,0,0],[2,0],[1]] => [[1,2,3]]

[[1],[2],[3]] => [[1,2],[3]] => [[2,1,0],[2,0],[1]] => [[1,2],[3]]

[[1,2,3,4]] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4]]

[[1,3,4],[2]] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3]]

[[1,2,4],[3]] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4]]

[[1,2,3],[4]] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4]]

[[1,3],[2,4]] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3]]

[[1,2],[3,4]] => [[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4]]

[[1,4],[2],[3]] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4]]

[[1,3],[2],[4]] => [[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3]]

[[1,2],[3],[4]] => [[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4]]

[[1],[2],[3],[4]] => [[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4]]

[[1,2,3,4,5]] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5]]

[[1,3,4,5],[2]] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3]]

[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4]]

[[1,2,3,5],[4]] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5]]

[[1,2,3,4],[5]] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5]]

[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5]]

[[1,2,5],[3,4]] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5]]

[[1,3,4],[2,5]] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3]]

[[1,2,4],[3,5]] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4]]

[[1,2,3],[4,5]] => [[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5]]

[[1,4,5],[2],[3]] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3],[4]]

[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3],[5]]

[[1,2,5],[3],[4]] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5]]

[[1,3,4],[2],[5]] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3]]

[[1,2,4],[3],[5]] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4]]

[[1,2,3],[4],[5]] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5]]

[[1,4],[2,5],[3]] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3],[4]]

[[1,3],[2,5],[4]] => [[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3]]

[[1,2],[3,5],[4]] => [[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4]]

[[1,3],[2,4],[5]] => [[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5]]

[[1,2],[3,4],[5]] => [[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5]]

[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5]]

[[1,4],[2],[3],[5]] => [[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3],[4]]

[[1,3],[2],[4],[5]] => [[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3],[5]]

[[1,2],[3],[4],[5]] => [[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5]]

[[1],[2],[3],[4],[5]] => [[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5]]

[[1,2,3,4,5,6]] => [[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]] => [[1,2,3,4,5,6]]

[[1,3,4,5,6],[2]] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5,6],[3]]

[[1,2,4,5,6],[3]] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,6],[4]]

[[1,2,3,5,6],[4]] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5]]

[[1,2,3,4,6],[5]] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6]]

[[1,2,3,4,5],[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]] => [[1,2,3,4,5,6]]

[[1,3,5,6],[2,4]] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5]]

[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6]]

[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3,6]]

[[1,2,4,6],[3,5]] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6]]

[[1,2,3,6],[4,5]] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6]]

[[1,3,4,5],[2,6]] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5,6],[3]]

[[1,2,4,5],[3,6]] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,6],[4]]

[[1,2,3,5],[4,6]] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5]]

[[1,2,3,4],[5,6]] => [[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]] => [[1,2,3,4,5,6]]

[[1,4,5,6],[2],[3]] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6],[3],[4]]

[[1,3,5,6],[2],[4]] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3],[5]]

[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4],[5]]

[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3],[6]]

[[1,2,4,6],[3],[5]] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4],[6]]

[[1,2,3,6],[4],[5]] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6]]

[[1,3,4,5],[2],[6]] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5,6],[3]]

[[1,2,4,5],[3],[6]] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,6],[4]]

[[1,2,3,5],[4],[6]] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5]]

[[1,2,3,4],[5],[6]] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6]]

[[1,3,5],[2,4,6]] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5]]

[[1,2,5],[3,4,6]] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5]]

[[1,3,4],[2,5,6]] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5,6],[3]]

[[1,2,4],[3,5,6]] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,6],[4]]

[[1,2,3],[4,5,6]] => [[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]] => [[1,2,3,4,5,6]]

[[1,4,6],[2,5],[3]] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4]]

[[1,3,6],[2,5],[4]] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3],[6]]

[[1,2,6],[3,5],[4]] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4],[6]]

[[1,3,6],[2,4],[5]] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6]]

[[1,2,6],[3,4],[5]] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6]]

[[1,4,5],[2,6],[3]] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6],[3],[4]]

[[1,3,5],[2,6],[4]] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3],[5]]

[[1,2,5],[3,6],[4]] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4],[5]]

[[1,3,4],[2,6],[5]] => [[1,2,4,5,6],[3]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5,6],[3]]

[[1,2,4],[3,6],[5]] => [[1,2,3,5,6],[4]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,6],[4]]

[[1,2,3],[4,6],[5]] => [[1,2,3,4,6],[5]] => [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5]]

[[1,3,5],[2,4],[6]] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5]]

[[1,2,5],[3,4],[6]] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6]]

[[1,3,4],[2,5],[6]] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3,6]]

[[1,2,4],[3,5],[6]] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6]]

[[1,2,3],[4,5],[6]] => [[1,2,3,4,5],[6]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6]]

[[1,5,6],[2],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3],[4],[5]]

[[1,4,6],[2],[3],[5]] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3],[4],[6]]

[[1,3,6],[2],[4],[5]] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3],[5],[6]]

[[1,2,6],[3],[4],[5]] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6]]

[[1,4,5],[2],[3],[6]] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6],[3],[4]]

[[1,3,5],[2],[4],[6]] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3],[5]]

[[1,2,5],[3],[4],[6]] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4],[5]]

[[1,3,4],[2],[5],[6]] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3],[6]]

[[1,2,4],[3],[5],[6]] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4],[6]]

[[1,2,3],[4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6]]

[[1,4],[2,5],[3,6]] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4]]

[[1,3],[2,5],[4,6]] => [[1,2,4,5],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3,6]]

>>> Load all 630 entries. <<<

[[1,2],[3,5],[4,6]] => [[1,2,3,5],[4,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6]]

[[1,3],[2,4],[5,6]] => [[1,2,4,6],[3,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5]]

[[1,2],[3,4],[5,6]] => [[1,2,3,4],[5,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6]]

[[1,5],[2,6],[3],[4]] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3],[4],[5]]

[[1,4],[2,6],[3],[5]] => [[1,2,5,6],[3],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6],[3],[4]]

[[1,3],[2,6],[4],[5]] => [[1,2,4,6],[3],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3],[5]]

[[1,2],[3,6],[4],[5]] => [[1,2,3,6],[4],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4],[5]]

[[1,4],[2,5],[3],[6]] => [[1,2,5],[3,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4]]

[[1,3],[2,5],[4],[6]] => [[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,5],[3],[6]]

[[1,2],[3,5],[4],[6]] => [[1,2,3,5],[4],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4],[6]]

[[1,3],[2,4],[5],[6]] => [[1,2,4],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6]]

[[1,2],[3,4],[5],[6]] => [[1,2,3,4],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6]]

[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6]]

[[1,5],[2],[3],[4],[6]] => [[1,2,6],[3],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3],[4],[5]]

[[1,4],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3],[4],[6]]

[[1,3],[2],[4],[5],[6]] => [[1,2,4],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3],[5],[6]]

[[1,2],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6]]

[[1],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6]]

[[1,2,3,4,5,6,7]] => [[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]] => [[1,2,3,4,5,6,7]]

[[1,3,4,5,6,7],[2]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,3,4,6,7],[5]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,2,3,4,5,7],[6]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,2,3,4,5,6],[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]] => [[1,2,3,4,5,6,7]]

[[1,2,5,6,7],[3,4]] => [[1,2,3,4,7],[5,6]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,6]]

[[1,2,3,6,7],[4,5]] => [[1,2,3,4,5],[6,7]] => [[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]] => [[1,2,3,4,5],[6,7]]

[[1,2,3,5,7],[4,6]] => [[1,2,3,4,6],[5,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7]]

[[1,2,3,4,7],[5,6]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,3,4,5,6],[2,7]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,3,4,6],[5,7]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,2,3,4,5],[6,7]] => [[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]] => [[1,2,3,4,5,6,7]]

[[1,4,5,6,7],[2],[3]] => [[1,2,5,6,7],[3],[4]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6,7],[3],[4]]

[[1,2,3,6,7],[4],[5]] => [[1,2,3,4,7],[5],[6]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5],[6]]

[[1,2,3,4,7],[5],[6]] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7]]

[[1,3,4,5,6],[2],[7]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,3,4,6],[5],[7]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,2,3,4,5],[6],[7]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7]]

[[1,2,5,7],[3,4,6]] => [[1,2,3,4,6],[5,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7]]

[[1,2,3,7],[4,5,6]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,2,5,6],[3,4,7]] => [[1,2,3,4,7],[5,6]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,6]]

[[1,2,3,6],[4,5,7]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,3,4,5],[2,6,7]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,3,4],[5,6,7]] => [[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]] => [[1,2,3,4,5,6,7]]

[[1,2,5,7],[3,4],[6]] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7]]

[[1,2,4,7],[3,5],[6]] => [[1,2,3,5],[4,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7]]

[[1,2,3,7],[4,5],[6]] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7]]

[[1,4,5,6],[2,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6,7],[3],[4]]

[[1,2,3,6],[4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5],[6]]

[[1,3,4,5],[2,7],[6]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,3,4],[5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,2,5,6],[3,4],[7]] => [[1,2,3,4,7],[5,6]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,6]]

[[1,2,3,6],[4,5],[7]] => [[1,2,3,4,5],[6,7]] => [[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]] => [[1,2,3,4,5],[6,7]]

[[1,2,3,5],[4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7]]

[[1,2,3,4],[5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,5,6,7],[2],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7],[3],[4],[5]]

[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4],[5],[6]]

[[1,2,3,7],[4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7]]

[[1,4,5,6],[2],[3],[7]] => [[1,2,5,6,7],[3],[4]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6,7],[3],[4]]

[[1,2,3,6],[4],[5],[7]] => [[1,2,3,4,7],[5],[6]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5],[6]]

[[1,2,3,4],[5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7]]

[[1,2,6],[3,4,7],[5]] => [[1,2,3,4,7],[5],[6]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5],[6]]

[[1,4,5],[2,6,7],[3]] => [[1,2,5,6,7],[3],[4]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6,7],[3],[4]]

[[1,3,4],[2,6,7],[5]] => [[1,2,4,5,6,7],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7],[3]]

[[1,2,5],[3,4,7],[6]] => [[1,2,3,4,7],[5,6]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,6]]

[[1,2,3],[4,5,7],[6]] => [[1,2,3,4,5,7],[6]] => [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6]]

[[1,3,5],[2,4,6],[7]] => [[1,2,4,6],[3,5,7]] => [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7]]

[[1,2,5],[3,4,6],[7]] => [[1,2,3,4,6],[5,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7]]

[[1,2,3],[4,5,6],[7]] => [[1,2,3,4,5,6],[7]] => [[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]] => [[1,2,3,4,5,6],[7]]

[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7]]

[[1,2,7],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7]]

[[1,2,7],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7]]

[[1,2,3],[4,6],[5,7]] => [[1,2,3,4,6],[5,7]] => [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7]]

[[1,2,5],[3,4],[6,7]] => [[1,2,3,4,7],[5,6]] => [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,6]]

[[1,2,3],[4,5],[6,7]] => [[1,2,3,4,5],[6,7]] => [[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]] => [[1,2,3,4,5],[6,7]]

[[1,3,7],[2,4],[5],[6]] => [[1,2,4],[3,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7]]

[[1,2,7],[3,4],[5],[6]] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7]]

[[1,5,6],[2,7],[3],[4]] => [[1,2,6,7],[3],[4],[5]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7],[3],[4],[5]]

[[1,2,6],[3,7],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4],[5],[6]]

[[1,4,5],[2,7],[3],[6]] => [[1,2,5,6,7],[3],[4]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,6,7],[3],[4]]

[[1,2,3],[4,7],[5],[6]] => [[1,2,3,4,7],[5],[6]] => [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5],[6]]

[[1,2,5],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7]]

[[1,2,4],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7]]

[[1,2,3],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7]] => [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7]]

[[1,6,7],[2],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7],[3],[4],[5],[6]]

[[1,2,7],[3],[4],[5],[6]] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7]]

[[1,5,6],[2],[3],[4],[7]] => [[1,2,6,7],[3],[4],[5]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7],[3],[4],[5]]

[[1,2,6],[3],[4],[5],[7]] => [[1,2,3,7],[4],[5],[6]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4],[5],[6]]

[[1,2,3],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7]]

[[1,4],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7]] => [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7]]

[[1,2],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7]]

[[1,2],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7]] => [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7]]

[[1,6],[2,7],[3],[4],[5]] => [[1,2,7],[3],[4],[5],[6]] => [[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7],[3],[4],[5],[6]]

[[1,5],[2,7],[3],[4],[6]] => [[1,2,6,7],[3],[4],[5]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7],[3],[4],[5]]

[[1,2],[3,7],[4],[5],[6]] => [[1,2,3,7],[4],[5],[6]] => [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4],[5],[6]]

[[1,3],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7]] => [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7]]

[[1,2],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7]] => [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7]]

[[1,7],[2],[3],[4],[5],[6]] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7]]

[[1,6],[2],[3],[4],[5],[7]] => [[1,2,7],[3],[4],[5],[6]] => [[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7],[3],[4],[5],[6]]

[[1,2],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7]] => [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7]]

[[1],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7]] => [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7]]

[[1,2,3,4,5,6,7,8]] => [[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]] => [[1,2,3,4,5,6,7,8]]

[[1,3,4,5,6,7,8],[2]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4,5,7,8],[6]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,2,3,4,5,6,8],[7]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,2,3,4,5,6,7],[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]] => [[1,2,3,4,5,6,7,8]]

[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,3,4,7,8],[5,6]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,3,4,6,8],[5,7]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3,4,5,8],[6,7]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,3,4,5,6,7],[2,8]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4,5,7],[6,8]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6,7,8]]

[[1,4,5,6,7,8],[2],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,2,3,4,7,8],[5],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,2,3,4,5,8],[6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,3,4,5,6,7],[2],[8]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4,5,7],[6],[8]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,2,3,4,5,6],[7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,2,3,7,8],[4,5,6]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,4,6,8],[3,5,7]] => [[1,2,3,5,7],[4,6,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8]]

[[1,2,3,6,8],[4,5,7]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,2,3,6,7],[4,5,8]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,3,4,7],[5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,3,4,5,6],[2,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4,5],[6,7,8]] => [[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]] => [[1,2,3,4,5,6,7,8]]

[[1,2,5,7,8],[3,4],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3,6,8],[4,5],[7]] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8]]

[[1,2,3,5,8],[4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3,4,8],[5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,4,5,6,7],[2,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,2,3,4,7],[5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,3,4,5,6],[2,8],[7]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4,5],[6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,2,3,6,7],[4,5],[8]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,3,4,7],[5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,3,4,6],[5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3,4,5],[6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,5,6,7,8],[2],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8],[3],[4],[5]]

[[1,2,3,7,8],[4],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5],[6],[7]]

[[1,2,3,4,8],[5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8]]

[[1,4,5,6,7],[2],[3],[8]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,2,3,4,7],[5],[6],[8]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,2,3,4,5],[6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,2,3,7],[4,5,6,8]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,3,4,5],[2,6,7,8]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,4],[5,6,7,8]] => [[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]] => [[1,2,3,4,5,6,7,8]]

[[1,3,5,8],[2,4,6],[7]] => [[1,2,4,6],[3,5,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8]]

[[1,2,5,8],[3,4,6],[7]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3,8],[4,5,6],[7]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,2,5,7],[3,4,8],[6]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3,7],[4,5,8],[6]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,4,5,6],[2,7,8],[3]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,3,4,5],[2,7,8],[6]] => [[1,2,4,5,6,7,8],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8],[3]]

[[1,2,3,6],[4,5,8],[7]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,3,4],[5,6,8],[7]] => [[1,2,3,4,5,6,8],[7]] => [[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7]]

[[1,2,3,7],[4,5,6],[8]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,4,6],[3,5,7],[8]] => [[1,2,3,5,7],[4,6,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8]]

[[1,2,3,6],[4,5,7],[8]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3,4],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8]] => [[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]] => [[1,2,3,4,5,6,7],[8]]

[[1,2,7,8],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8]]

[[1,2,5,8],[3,6],[4,7]] => [[1,2,3,6],[4,7],[5,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8]]

[[1,2,3,8],[4,6],[5,7]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3,8],[4,5],[6,7]] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8]]

[[1,2,5,7],[3,4],[6,8]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3,4],[5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3,6],[4,5],[7,8]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,3,4],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,5,8],[3,4],[6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8]]

[[1,2,4,8],[3,5],[6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8]]

[[1,2,3,8],[4,5],[6],[7]] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8]]

[[1,5,6,7],[2,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8],[3],[4],[5]]

[[1,2,3,7],[4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5],[6],[7]]

[[1,4,5,6],[2,8],[3],[7]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,2,3,4],[5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,2,5,7],[3,4],[6],[8]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3,6],[4,5],[7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8]]

[[1,2,3,5],[4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3,4],[5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,6,7,8],[2],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8],[3],[4],[5],[6]]

[[1,2,7,8],[3],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,8],[4],[5],[6],[7]]

[[1,2,3,8],[4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8]]

[[1,5,6,7],[2],[3],[4],[8]] => [[1,2,6,7,8],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8],[3],[4],[5]]

[[1,2,3,7],[4],[5],[6],[8]] => [[1,2,3,4,8],[5],[6],[7]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5],[6],[7]]

[[1,2,3,4],[5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8]]

[[1,2,7],[3,4,8],[5,6]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3],[4,5,8],[6,7]] => [[1,2,3,4,5,8],[6,7]] => [[6,2,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,8],[6,7]]

[[1,2,4],[3,5,7],[6,8]] => [[1,2,3,5,7],[4,6,8]] => [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8]]

[[1,2,3],[4,5,7],[6,8]] => [[1,2,3,4,5,7],[6,8]] => [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8]]

[[1,2,3],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8]] => [[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]] => [[1,2,3,4,5,6],[7,8]]

[[1,2,7],[3,4,8],[5],[6]] => [[1,2,3,4,8],[5],[6],[7]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5],[6],[7]]

[[1,5,6],[2,7,8],[3],[4]] => [[1,2,6,7,8],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8],[3],[4],[5]]

[[1,4,5],[2,7,8],[3],[6]] => [[1,2,5,6,7,8],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8],[3],[4]]

[[1,2,5],[3,4,8],[6],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,3],[4,5,8],[6],[7]] => [[1,2,3,4,5,8],[6],[7]] => [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6],[7]]

[[1,3,5],[2,4,6],[7],[8]] => [[1,2,4,6],[3,5,7],[8]] => [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8]]

[[1,2,5],[3,4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3],[4,5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8]] => [[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8]]

[[1,4,8],[2,5],[3,6],[7]] => [[1,2,5],[3,6],[4,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8]]

[[1,2,8],[3,5],[4,6],[7]] => [[1,2,3,5],[4,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8]]

[[1,2,8],[3,4],[5,6],[7]] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8]]

[[1,2,5],[3,4],[6,8],[7]] => [[1,2,3,4,8],[5,6],[7]] => [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5,6],[7]]

[[1,2,7],[3,4],[5,6],[8]] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8]]

[[1,2,5],[3,6],[4,7],[8]] => [[1,2,3,6],[4,7],[5,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8]]

[[1,2,3],[4,6],[5,7],[8]] => [[1,2,3,4,6],[5,7],[8]] => [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8]]

[[1,2,3],[4,5],[6,7],[8]] => [[1,2,3,4,5],[6,7],[8]] => [[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8]]

[[1,3,8],[2,4],[5],[6],[7]] => [[1,2,4],[3,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8]]

[[1,2,8],[3,4],[5],[6],[7]] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8]]

[[1,6,7],[2,8],[3],[4],[5]] => [[1,2,7,8],[3],[4],[5],[6]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8],[3],[4],[5],[6]]

[[1,2,7],[3,8],[4],[5],[6]] => [[1,2,3,8],[4],[5],[6],[7]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,8],[4],[5],[6],[7]]

[[1,5,6],[2,8],[3],[4],[7]] => [[1,2,6,7,8],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8],[3],[4],[5]]

[[1,2,3],[4,8],[5],[6],[7]] => [[1,2,3,4,8],[5],[6],[7]] => [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,8],[5],[6],[7]]

[[1,2,5],[3,4],[6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8]]

[[1,2,4],[3,5],[6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8]]

[[1,2,3],[4,5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8]] => [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8]]

[[1,7,8],[2],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8],[3],[4],[5],[6],[7]]

[[1,2,8],[3],[4],[5],[6],[7]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8]]

[[1,6,7],[2],[3],[4],[5],[8]] => [[1,2,7,8],[3],[4],[5],[6]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8],[3],[4],[5],[6]]

[[1,2,7],[3],[4],[5],[6],[8]] => [[1,2,3,8],[4],[5],[6],[7]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,8],[4],[5],[6],[7]]

[[1,2,3],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8]]

[[1,2],[3,6],[4,7],[5,8]] => [[1,2,3,6],[4,7],[5,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8]]

[[1,2],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8]] => [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8]]

[[1,4],[2,5],[3,6],[7],[8]] => [[1,2,5],[3,6],[4,7],[8]] => [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8]]

[[1,2],[3,5],[4,6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8]]

[[1,2],[3,4],[5,6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8]] => [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8]]

[[1,7],[2,8],[3],[4],[5],[6]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8],[3],[4],[5],[6],[7]]

[[1,6],[2,8],[3],[4],[5],[7]] => [[1,2,7,8],[3],[4],[5],[6]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8],[3],[4],[5],[6]]

[[1,2],[3,8],[4],[5],[6],[7]] => [[1,2,3,8],[4],[5],[6],[7]] => [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,8],[4],[5],[6],[7]]

[[1,3],[2,4],[5],[6],[7],[8]] => [[1,2,4],[3,5],[6],[7],[8]] => [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8]]

[[1,2],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8]] => [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8]]

[[1,8],[2],[3],[4],[5],[6],[7]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8]]

[[1,7],[2],[3],[4],[5],[6],[8]] => [[1,2,8],[3],[4],[5],[6],[7]] => [[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8],[3],[4],[5],[6],[7]]

[[1,2],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8]]

[[1],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8]] => [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8]]

[[1,3,4,5,6],[2,7,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,2,3,4,9],[5,6,7,8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[9,1,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8,10],[9]]

[[1,2,3,4,5],[6,7,8,9,10]] => [[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6,7,8,9]] => [[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]] => [[1,2,3,4,5,6,7,8,9]]

[[1,2,3,4,5,6,7,8],[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]] => [[1,2,3,4,5,6,7,8,9]]

[[1,2,3,4,5,6,7],[8,9]] => [[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]] => [[1,2,3,4,5,6,7,8,9]]

[[1,2,3,4,5,6,7],[8],[9]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5,6],[7,8,9]] => [[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]] => [[1,2,3,4,5,6,7,8,9]]

[[1,2,3,4,5,6],[7,8],[9]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5,6],[7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4,5],[6,7,8,9]] => [[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]] => [[1,2,3,4,5,6,7,8,9]]

[[1,2,3,4,5],[6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5],[6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9]] => [[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]] => [[1,2,3,4,5,6,7],[8,9]]

[[1,2,3,4,5],[6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4,5],[6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3,4],[5,6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4],[5,6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9]] => [[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]] => [[1,2,3,4,5,6,7],[8,9]]

[[1,2,3,4],[5,6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4],[5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9]]

[[1,2,3,4],[5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9]]

[[1,2,3],[4,5,6],[7,8,9]] => [[1,2,3,4,5,6],[7,8,9]] => [[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]] => [[1,2,3,4,5,6],[7,8,9]]

[[1,2,3],[4,5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9]]

[[1,2,3],[4,5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3],[4,5],[6,7],[8,9]] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8,9]]

[[1,2,3],[4,5],[6,7],[8],[9]] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9]]

[[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9]]

[[1,2,3],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9]]

[[1,2],[3,4],[5,6],[7,8],[9]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9]]

[[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9]]

[[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9]]

[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8],[9]]

[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]]

[[1,2,3,4,5,6,7,8,9,10]] => [[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6,7,8,9],[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6,7],[8,9,10]] => [[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6,7],[8],[9],[10]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5,6],[7,8,9,10]] => [[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]] => [[1,2,3,4,5,6,7,8,9,10]]

[[1,2,3,4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,2,3,4,5,6],[7,8],[9],[10]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4,5],[6,7,8,9],[10]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5],[6,7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8,9],[10]]

[[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3,4],[5,6,7,8],[9,10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4],[5,6,7],[8,9,10]] => [[1,2,3,4,5,6,7],[8,9,10]] => [[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]] => [[1,2,3,4,5,6,7],[8,9,10]]

[[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8,9],[10]]

[[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4],[5,6],[7,8],[9,10]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9,10]]

[[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9],[10]]

[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]]

[[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8,9],[10]]

[[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9,10]]

[[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9],[10]]

[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8,9],[10]]

[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9],[10]]

[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]]

[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]]

[[1,2],[3,4],[5,6],[7,8],[9,10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[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],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9,10]]

[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9],[10]]

[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]]

[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]]

[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]

[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]

[[1,3,4,5,6,7,8,9],[2]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,4,5,6,7,8,9],[2],[3]] => [[1,2,5,6,7,8,9],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9],[3],[4]]

[[1,2,3,7,8,9],[4,5,6]] => [[1,2,3,4,5,6],[7,8,9]] => [[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]] => [[1,2,3,4,5,6],[7,8,9]]

[[1,5,6,7,8,9],[2],[3],[4]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9],[3],[4],[5]]

[[1,2,3,4,9],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,7,8,9],[3,4],[5,6]] => [[1,2,3,4,9],[5,6],[7,8]] => [[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,9],[5,6],[7,8]]

[[1,6,7,8,9],[2],[3],[4],[5]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9],[3],[4],[5],[6]]

[[1,3,4,5],[2,7,8,9],[6]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,7,8,9],[2],[3],[4],[5],[6]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9],[3],[4],[5],[6],[7]]

[[1,5,6],[2,8,9],[3],[4],[7]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9],[3],[4],[5]]

[[1,2,9],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9]]

[[1,8,9],[2],[3],[4],[5],[6],[7]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9],[3],[4],[5],[6],[7],[8]]

[[1,7],[2,9],[3],[4],[5],[6],[8]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9],[3],[4],[5],[6],[7]]

[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]] => [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8],[9]]

[[1,3,4,5,6,7,8,9,10],[2]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,4,5,6,7,8,9,10],[2],[3]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9,10],[3],[4]]

[[1,2,3,7,8,9,10],[4,5,6]] => [[1,2,3,4,5,6,10],[7,8,9]] => [[7,3,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,10],[7,8,9]]

[[1,5,6,7,8,9,10],[2],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9,10],[3],[4],[5]]

[[1,2,3,4,9,10],[5,6,7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,6,7,8,9,10],[2],[3],[4],[5]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9,10],[3],[4],[5],[6]]

[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[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],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]]

[[1,4,5,6],[2,8,9,10],[3],[7]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9,10],[3],[4]]

[[1,2,3,10],[4,5,6],[7,8,9]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8,9],[10]]

[[1,2,9,10],[3,4],[5,6],[7,8]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[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],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9,10]]

[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[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],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]]

[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9,10],[3],[4],[5],[6]]

[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]

[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[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],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]]

[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]

[[1,8],[2,9],[3],[4],[5],[6],[7]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9],[3],[4],[5],[6],[7],[8]]

[[1,5,9],[2,6],[3,7],[4,8]] => [[1,2,6],[3,7],[4,8],[5,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3,7],[4,8],[5,9]]

[[1,3,5,7,9],[2,4,6,8]] => [[1,2,4,6,8],[3,5,7,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6,8],[3,5,7,9]]

[[1,9],[2,10],[3],[4],[5],[6],[7],[8]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]

[[1,4,7,10],[2,5,8],[3,6,9]] => [[1,2,5,8],[3,6,9],[4,7,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,8],[3,6,9],[4,7,10]]

[[1,3],[2,4],[5],[6],[7],[8],[9]] => [[1,2,4],[3,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8],[9]]

[[1,4],[2,5],[3,6],[7],[8],[9]] => [[1,2,5],[3,6],[4,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8],[9]]

[[1,2,4],[3,5],[6],[7],[8],[9]] => [[1,2,3,5],[4,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8],[9]]

[[1,5],[2,6],[3,7],[4,8],[9]] => [[1,2,6],[3,7],[4,8],[5,9]] => [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3,7],[4,8],[5,9]]

[[1,2,5],[3,6],[4,7],[8],[9]] => [[1,2,3,6],[4,7],[5,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8],[9]]

[[1,3,5],[2,4,6],[7],[8],[9]] => [[1,2,4,6],[3,5,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8],[9]]

[[1,2,3,5],[4,6],[7],[8],[9]] => [[1,2,3,4,6],[5,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8],[9]]

[[1,3,6],[2,4,7],[5,8],[9]] => [[1,2,4,7],[3,5,8],[6,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,7],[3,5,8],[6,9]]

[[1,2,3,6],[4,7],[5,8],[9]] => [[1,2,3,4,7],[5,8],[6,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,8],[6,9]]

[[1,2,4,6],[3,5,7],[8],[9]] => [[1,2,3,5,7],[4,6,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8],[9]]

[[1,2,3,4,6],[5,7],[8],[9]] => [[1,2,3,4,5,7],[6,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8],[9]]

[[1,3,5,7],[2,4,6,8],[9]] => [[1,2,4,6,8],[3,5,7,9]] => [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6,8],[3,5,7,9]]

[[1,2,3,5,7],[4,6,8],[9]] => [[1,2,3,4,6,8],[5,7,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6,8],[5,7,9]]

[[1,2,3,4,5,7],[6,8],[9]] => [[1,2,3,4,5,6,8],[7,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7,9]]

[[1,2,3,4,5,6,8],[7,9]] => [[1,2,3,4,5,6,7,9],[8]] => [[8,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8]]

[[1,3],[2,4],[5],[6],[7],[8],[9],[10]] => [[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8],[9],[10]]

[[1,4],[2,5],[3,6],[7],[8],[9],[10]] => [[1,2,5],[3,6],[4,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8],[9],[10]]

[[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [[1,2,3,5],[4,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8],[9],[10]]

[[1,5],[2,6],[3,7],[4,8],[9],[10]] => [[1,2,6],[3,7],[4,8],[5,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3,7],[4,8],[5,9],[10]]

[[1,2,5],[3,6],[4,7],[8],[9],[10]] => [[1,2,3,6],[4,7],[5,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8],[9],[10]]

[[1,3,5],[2,4,6],[7],[8],[9],[10]] => [[1,2,4,6],[3,5,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8],[9],[10]]

[[1,2,3,5],[4,6],[7],[8],[9],[10]] => [[1,2,3,4,6],[5,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8],[9],[10]]

[[1,2,6],[3,7],[4,8],[5,9],[10]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4,8],[5,9],[6,10]]

[[1,3,6],[2,4,7],[5,8],[9],[10]] => [[1,2,4,7],[3,5,8],[6,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,7],[3,5,8],[6,9],[10]]

[[1,2,3,6],[4,7],[5,8],[9],[10]] => [[1,2,3,4,7],[5,8],[6,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,8],[6,9],[10]]

[[1,2,4,6],[3,5,7],[8],[9],[10]] => [[1,2,3,5,7],[4,6,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8],[9],[10]]

[[1,2,3,4,6],[5,7],[8],[9],[10]] => [[1,2,3,4,5,7],[6,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8],[9],[10]]

[[1,4,7],[2,5,8],[3,6,9],[10]] => [[1,2,5,8],[3,6,9],[4,7,10]] => [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5,8],[3,6,9],[4,7,10]]

[[1,2,4,7],[3,5,8],[6,9],[10]] => [[1,2,3,5,8],[4,6,9],[7,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,8],[4,6,9],[7,10]]

[[1,2,3,4,7],[5,8],[6,9],[10]] => [[1,2,3,4,5,8],[6,9],[7,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6,9],[7,10]]

[[1,3,5,7],[2,4,6,8],[9],[10]] => [[1,2,4,6,8],[3,5,7,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6,8],[3,5,7,9],[10]]

[[1,2,3,5,7],[4,6,8],[9],[10]] => [[1,2,3,4,6,8],[5,7,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6,8],[5,7,9],[10]]

[[1,2,3,4,5,7],[6,8],[9],[10]] => [[1,2,3,4,5,6,8],[7,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7,9],[10]]

[[1,2,4,6,8],[3,5,7,9],[10]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7,9],[4,6,8,10]]

[[1,2,3,4,6,8],[5,7,9],[10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7,9],[6,8,10]]

[[1,2,3,4,5,6,8],[7,9],[10]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8,10]]

[[1,2,3,4,5,6,7,9],[8,10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[9,1,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8,10],[9]]

[[1,2],[3,7],[4,8],[5,9],[6,10]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4,8],[5,9],[6,10]]

[[1,2,3,4,5,6,7,9],[8]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5,6,9],[7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5,6,9],[7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4,5,9],[6,7,8]] => [[1,2,3,4,5,6,7,8],[9]] => [[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]] => [[1,2,3,4,5,6,7,8],[9]]

[[1,2,3,4,5,9],[6,7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4,5,9],[6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3,4,9],[5,6,7],[8]] => [[1,2,3,4,5,6,7],[8],[9]] => [[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9]]

[[1,2,3,4,9],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9]]

[[1,2,3,4,9],[5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3,4,9],[5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9]]

[[1,2,3,9],[4,5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9]]

[[1,2,3,9],[4,5,6],[7],[8]] => [[1,2,3,4,5,6],[7],[8],[9]] => [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9]]

[[1,2,3,9],[4,5],[6,7],[8]] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9]]

[[1,2,3,9],[4,5],[6],[7],[8]] => [[1,2,3,4,5],[6],[7],[8],[9]] => [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9]]

[[1,2,3,9],[4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9]]

[[1,2,9],[3,4],[5,6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9]]

[[1,2,9],[3,4],[5],[6],[7],[8]] => [[1,2,3,4],[5],[6],[7],[8],[9]] => [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9]]

[[1,2,9],[3],[4],[5],[6],[7],[8]] => [[1,2,3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8],[9]]

[[1,2,3,4,5,6,7,8,10],[9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6,7,10],[8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6,7,10],[8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5,6,10],[7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,6,10],[7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5,6,10],[7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4,5,10],[6,7,8,9]] => [[1,2,3,4,5,6,7,8,9],[10]] => [[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]] => [[1,2,3,4,5,6,7,8,9],[10]]

[[1,2,3,4,5,10],[6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,5,10],[6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8,9],[10]]

[[1,2,3,4,5,10],[6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4,5,10],[6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3,4,10],[5,6,7,8],[9]] => [[1,2,3,4,5,6,7,8],[9],[10]] => [[8,1,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8],[9],[10]]

[[1,2,3,4,10],[5,6,7],[8,9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8,9],[10]]

[[1,2,3,4,10],[5,6,7],[8],[9]] => [[1,2,3,4,5,6,7],[8],[9],[10]] => [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8],[9],[10]]

[[1,2,3,4,10],[5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9],[10]]

[[1,2,3,4,10],[5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3,4,10],[5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]]

[[1,2,3,7],[4,5,6,10],[8,9]] => [[1,2,3,4,5,6,10],[7,8,9]] => [[7,3,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,10],[7,8,9]]

[[1,2,3,10],[4,5,6],[7,8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9],[10]]

[[1,2,3,10],[4,5,6],[7],[8],[9]] => [[1,2,3,4,5,6],[7],[8],[9],[10]] => [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7],[8],[9],[10]]

[[1,2,3,10],[4,5],[6,7],[8,9]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8,9],[10]]

[[1,2,3,10],[4,5],[6,7],[8],[9]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9],[10]]

[[1,2,3,10],[4,5],[6],[7],[8],[9]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]] => [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5],[6],[7],[8],[9],[10]]

[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]]

[[1,2,10],[3,4],[5,6],[7,8],[9]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9],[10]]

[[1,2,10],[3,4],[5,6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]]

[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5],[6],[7],[8],[9],[10]]

[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]

[[1,2,4],[3,5,7],[6,8],[9]] => [[1,2,3,5,7],[4,6,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8],[9]]

[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [[1,2,9],[3],[4],[5],[6],[7],[8]] => [[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9],[3],[4],[5],[6],[7],[8]]

[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]

[[1,3,4,5,6,7,8],[2,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6,7,8],[2],[9]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6,7],[2,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6,7],[2,9],[8]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6],[2,7,8,9]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6],[2,8,9],[7]] => [[1,2,4,5,6,7,8,9],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9],[3]]

[[1,3,4,5,6,7,8,9],[2,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6,7,8,9],[2],[10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6,7,8],[2,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6,7,8],[2,10],[9]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6,7],[2,8,9,10]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6,7],[2,9,10],[8]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,3,4,5,6],[2,8,9,10],[7]] => [[1,2,4,5,6,7,8,9,10],[3]] => [[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],[2,0],[1]] => [[1,2,4,5,6,7,8,9,10],[3]]

[[1,2,4,6,8,10],[3,5,7,9]] => [[1,2,3,5,7,9],[4,6,8,10]] => [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7,9],[4,6,8,10]]

[[1,2,3,4,6,8,10],[5,7,9]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7,9],[6,8,10]]

[[1,2,3,4,5,6,8,10],[7,9]] => [[1,2,3,4,5,6,7,9],[8,10]] => [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8,10]]

[[1,2,3,4,5,6,9,10],[7,8]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,2,3,4,5,6,7,9,10],[8]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[9,1,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8,10],[9]]

[[1,4,5,6,7,8],[2],[3],[9]] => [[1,2,5,6,7,8,9],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9],[3],[4]]

[[1,2,3,7,8],[4,5,6],[9]] => [[1,2,3,4,5,6],[7,8,9]] => [[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]] => [[1,2,3,4,5,6],[7,8,9]]

[[1,5,6,7,8],[2],[3],[4],[9]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9],[3],[4],[5]]

[[1,2,7,8],[3,4],[5,6],[9]] => [[1,2,3,4,9],[5,6],[7,8]] => [[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,9],[5,6],[7,8]]

[[1,6,7,8],[2],[3],[4],[5],[9]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9],[3],[4],[5],[6]]

[[1,7,8],[2],[3],[4],[5],[6],[9]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9],[3],[4],[5],[6],[7]]

[[1,4,5,6,7,8,9],[2],[3],[10]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9,10],[3],[4]]

[[1,2,3,7,8,9],[4,5,6,10]] => [[1,2,3,4,5,6,10],[7,8,9]] => [[7,3,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,10],[7,8,9]]

[[1,2,3,7,8,9],[4,5,6],[10]] => [[1,2,3,4,5,6,10],[7,8,9]] => [[7,3,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,10],[7,8,9]]

[[1,5,6,7,8,9],[2],[3],[4],[10]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9,10],[3],[4],[5]]

[[1,2,3,4,9],[5,6,7,8],[10]] => [[1,2,3,4,5,6,7,8],[9,10]] => [[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]] => [[1,2,3,4,5,6,7,8],[9,10]]

[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9,10],[3],[4],[5],[6]]

[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[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],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]]

[[1,2,9],[3,4],[5,6],[7,8],[10]] => [[1,2,3,4],[5,6],[7,8],[9,10]] => [[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],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9,10]]

[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[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],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]]

[[1,2,3,4,8,9],[5,6,7]] => [[1,2,3,4,5,6,7],[8,9]] => [[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]] => [[1,2,3,4,5,6,7],[8,9]]

[[1,2,3,8,9],[4,5],[6,7]] => [[1,2,3,4,5],[6,7],[8,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8,9]]

[[1,2,3,4,8,9,10],[5,6,7]] => [[1,2,3,4,5,6,7],[8,9,10]] => [[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]] => [[1,2,3,4,5,6,7],[8,9,10]]

[[1,2,3,4,9,10],[5,6],[7,8]] => [[1,2,3,4,5,6],[7,8],[9,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9,10]]

[[1,2,3,4],[5,6,7,9],[8]] => [[1,2,3,4,5,6,7,9],[8]] => [[8,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8]]

[[1,2,3,4,5,6,8],[7],[9]] => [[1,2,3,4,5,6,7,9],[8]] => [[8,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8]]

[[1,2,3,5,7,9],[4,6,8]] => [[1,2,3,4,6,8],[5,7,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6,8],[5,7,9]]

[[1,2,3,4,5,7,9],[6,8]] => [[1,2,3,4,5,6,8],[7,9]] => [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7,9]]

[[1,2,3,4,5,6,7,9],[8],[10]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[9,1,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8,10],[9]]

[[1,2,6,10],[3,7],[4,8],[5,9]] => [[1,2,3,7],[4,8],[5,9],[6,10]] => [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,7],[4,8],[5,9],[6,10]]

[[1,2,3,4],[5,8],[6,9],[7,10]] => [[1,2,3,4,5,8],[6,9],[7,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6,9],[7,10]]

[[1,2,3,4,5,6],[7,9],[8]] => [[1,2,3,4,5,6,7,9],[8]] => [[8,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,9],[8]]

[[1,2,3,4,5,6,7],[8,10],[9]] => [[1,2,3,4,5,6,7,8,10],[9]] => [[9,1,0,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7,8,10],[9]]

[[1,3,9],[2,4],[5],[6],[7],[8]] => [[1,2,4],[3,5],[6],[7],[8],[9]] => [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8],[9]]

[[1,4,9],[2,5],[3,6],[7],[8]] => [[1,2,5],[3,6],[4,7],[8],[9]] => [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8],[9]]

[[1,2,4,9],[3,5],[6],[7],[8]] => [[1,2,3,5],[4,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8],[9]]

[[1,2,5,9],[3,6],[4,7],[8]] => [[1,2,3,6],[4,7],[5,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8],[9]]

[[1,3,5,9],[2,4,6],[7],[8]] => [[1,2,4,6],[3,5,7],[8],[9]] => [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8],[9]]

[[1,2,3,5,9],[4,6],[7],[8]] => [[1,2,3,4,6],[5,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8],[9]]

[[1,3,6,9],[2,4,7],[5,8]] => [[1,2,4,7],[3,5,8],[6,9]] => [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,7],[3,5,8],[6,9]]

[[1,2,3,6,9],[4,7],[5,8]] => [[1,2,3,4,7],[5,8],[6,9]] => [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,8],[6,9]]

[[1,2,4,6,9],[3,5,7],[8]] => [[1,2,3,5,7],[4,6,8],[9]] => [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8],[9]]

[[1,2,3,4,6,9],[5,7],[8]] => [[1,2,3,4,5,7],[6,8],[9]] => [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8],[9]]

[[1,3,10],[2,4],[5],[6],[7],[8],[9]] => [[1,2,4],[3,5],[6],[7],[8],[9],[10]] => [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4],[3,5],[6],[7],[8],[9],[10]]

[[1,4,10],[2,5],[3,6],[7],[8],[9]] => [[1,2,5],[3,6],[4,7],[8],[9],[10]] => [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,5],[3,6],[4,7],[8],[9],[10]]

[[1,2,4,10],[3,5],[6],[7],[8],[9]] => [[1,2,3,5],[4,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5],[4,6],[7],[8],[9],[10]]

[[1,5,10],[2,6],[3,7],[4,8],[9]] => [[1,2,6],[3,7],[4,8],[5,9],[10]] => [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6],[3,7],[4,8],[5,9],[10]]

[[1,2,5,10],[3,6],[4,7],[8],[9]] => [[1,2,3,6],[4,7],[5,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,6],[4,7],[5,8],[9],[10]]

[[1,3,5,10],[2,4,6],[7],[8],[9]] => [[1,2,4,6],[3,5,7],[8],[9],[10]] => [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6],[3,5,7],[8],[9],[10]]

[[1,2,3,5,10],[4,6],[7],[8],[9]] => [[1,2,3,4,6],[5,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6],[5,7],[8],[9],[10]]

[[1,3,6,10],[2,4,7],[5,8],[9]] => [[1,2,4,7],[3,5,8],[6,9],[10]] => [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,7],[3,5,8],[6,9],[10]]

[[1,2,3,6,10],[4,7],[5,8],[9]] => [[1,2,3,4,7],[5,8],[6,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,7],[5,8],[6,9],[10]]

[[1,2,4,6,10],[3,5,7],[8],[9]] => [[1,2,3,5,7],[4,6,8],[9],[10]] => [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,7],[4,6,8],[9],[10]]

[[1,2,3,4,6,10],[5,7],[8],[9]] => [[1,2,3,4,5,7],[6,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7],[6,8],[9],[10]]

[[1,2,4,7,10],[3,5,8],[6,9]] => [[1,2,3,5,8],[4,6,9],[7,10]] => [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,5,8],[4,6,9],[7,10]]

[[1,2,3,4,7,10],[5,8],[6,9]] => [[1,2,3,4,5,8],[6,9],[7,10]] => [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,8],[6,9],[7,10]]

[[1,3,5,7,10],[2,4,6,8],[9]] => [[1,2,4,6,8],[3,5,7,9],[10]] => [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => [[1,2,4,6,8],[3,5,7,9],[10]]

[[1,2,3,5,7,10],[4,6,8],[9]] => [[1,2,3,4,6,8],[5,7,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6,8],[5,7,9],[10]]

[[1,2,3,4,5,7,10],[6,8],[9]] => [[1,2,3,4,5,6,8],[7,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,8],[7,9],[10]]

[[1,2,3,4,5,8,9],[6,7]] => [[1,2,3,4,5,6,7],[8,9]] => [[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]] => [[1,2,3,4,5,6,7],[8,9]]

[[1,2,3,4,7,9],[5,6],[8]] => [[1,2,3,4,5,6],[7,8],[9]] => [[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9]]

[[1,2,3,4,7,10],[5,6],[8],[9]] => [[1,2,3,4,5,6],[7,8],[9],[10]] => [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8],[9],[10]]

[[1,2,3,5],[4,6,8],[7,9]] => [[1,2,3,4,6,8],[5,7,9]] => [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,6,8],[5,7,9]]

[[1,2,3,4,6],[5,7,9],[8,10]] => [[1,2,3,4,5,7,9],[6,8,10]] => [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4,5,7,9],[6,8,10]]

[[1,4,5,6],[2,8,9],[3],[7]] => [[1,2,5,6,7,8,9],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9],[3],[4]]

[[1,2,3,6,9],[4,5],[7],[8]] => [[1,2,3,4,5],[6,7],[8],[9]] => [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9]]

[[1,2,7,9],[3,4],[5,6],[8]] => [[1,2,3,4],[5,6],[7,8],[9]] => [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9]]

[[1,2,5,9],[3,4],[6],[7],[8]] => [[1,2,3,4],[5,6],[7],[8],[9]] => [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9]]

[[1,2,3,4,5,8,10],[6,7],[9]] => [[1,2,3,4,5,6,7],[8,9],[10]] => [[7,2,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6,7],[8,9],[10]]

[[1,2,3,7,8,10],[4,5,6],[9]] => [[1,2,3,4,5,6],[7,8,9],[10]] => [[6,3,1,0,0,0,0,0,0,0],[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]] => [[1,2,3,4,5,6],[7,8,9],[10]]

[[1,2,3,8,10],[4,5],[6,7],[9]] => [[1,2,3,4,5],[6,7],[8,9],[10]] => [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8,9],[10]]

[[1,2,3,6,10],[4,5],[7],[8],[9]] => [[1,2,3,4,5],[6,7],[8],[9],[10]] => [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[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]] => [[1,2,3,4,5],[6,7],[8],[9],[10]]

[[1,2,7,10],[3,4],[5,6],[8],[9]] => [[1,2,3,4],[5,6],[7,8],[9],[10]] => [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7,8],[9],[10]]

[[1,2,5,10],[3,4],[6],[7],[8],[9]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => [[1,2,3,4],[5,6],[7],[8],[9],[10]]

[[1,6,7],[2,9],[3],[4],[5],[8]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9],[3],[4],[5],[6]]

[[1,5,6,7],[2,9,10],[3],[4],[8]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9,10],[3],[4],[5]]

[[1,7,8],[2,10],[3],[4],[5],[6],[9]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[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],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]]

[[1,5,6,7],[2,8,9,10],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9,10],[3],[4],[5]]

[[1,6,7,8,9],[2,10],[3],[4],[5]] => [[1,2,7,8,9,10],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9,10],[3],[4],[5],[6]]

[[1,4,5,6,7,8],[2,9],[3]] => [[1,2,5,6,7,8,9],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9],[3],[4]]

[[1,5,6,7,8],[2,9],[3],[4]] => [[1,2,6,7,8,9],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9],[3],[4],[5]]

[[1,6,7,8],[2,9],[3],[4],[5]] => [[1,2,7,8,9],[3],[4],[5],[6]] => [[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],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,7,8,9],[3],[4],[5],[6]]

[[1,7,8],[2,9],[3],[4],[5],[6]] => [[1,2,8,9],[3],[4],[5],[6],[7]] => [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9],[3],[4],[5],[6],[7]]

[[1,4,5,6,7,8,9],[2,10],[3]] => [[1,2,5,6,7,8,9,10],[3],[4]] => [[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],[2,1,0],[2,0],[1]] => [[1,2,5,6,7,8,9,10],[3],[4]]

[[1,5,6,7,8,9],[2,10],[3],[4]] => [[1,2,6,7,8,9,10],[3],[4],[5]] => [[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],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,6,7,8,9,10],[3],[4],[5]]

[[1,7,8,9],[2,10],[3],[4],[5],[6]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]] => [[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],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,8,9,10],[3],[4],[5],[6],[7]]

[[1,8,9],[2,10],[3],[4],[5],[6],[7]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [[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],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => [[1,2,9,10],[3],[4],[5],[6],[7],[8]]

Map

catabolism

Description

Remove the first row of the standard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).

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.

Map

to semistandard tableau

Description

Return the Gelfand-Tsetlin pattern as a semistandard Young tableau.
Let $G$ be a Gelfand-Tsetlin pattern and let $\lambda^{(k)}$ be its $(n-k+1)$-st row. The defining inequalities of a Gelfand-Tsetlin pattern imply, regarding each row as a partition,
$$ \lambda^{(0)} \subseteq \lambda^{(1)} \subseteq \cdots \subseteq \lambda^{(n)}, $$
where $\lambda^{(0)}$ is the empty partition.
Each skew shape $\lambda^{(k)} / \lambda^{(k-1)}$ is moreover a horizontal strip.
We now define a semistandard tableau $T(G)$ by inserting $k$ into the cells of the skew shape $\lambda^{(k)} / \lambda^{(k-1)}$, for $k=1,\dots,n$.