Identifier
Images
[[1]] => [1]
[[2]] => [1]
[[3]] => [1]
[[4]] => [1]
[[5]] => [1]
[[6]] => [1]
[[1,1]] => [2]
[[1,2]] => [2]
[[2,2]] => [2]
[[1],[2]] => [1,1]
[[1,3]] => [2]
[[2,3]] => [2]
[[3,3]] => [2]
[[1],[3]] => [1,1]
[[2],[3]] => [1,1]
[[1,4]] => [2]
[[2,4]] => [2]
[[3,4]] => [2]
[[4,4]] => [2]
[[1],[4]] => [1,1]
[[2],[4]] => [1,1]
[[3],[4]] => [1,1]
[[1,5]] => [2]
[[2,5]] => [2]
[[3,5]] => [2]
[[4,5]] => [2]
[[5,5]] => [2]
[[1],[5]] => [1,1]
[[2],[5]] => [1,1]
[[3],[5]] => [1,1]
[[4],[5]] => [1,1]
[[1,6]] => [2]
[[2,6]] => [2]
[[3,6]] => [2]
[[4,6]] => [2]
[[5,6]] => [2]
[[6,6]] => [2]
[[1],[6]] => [1,1]
[[2],[6]] => [1,1]
[[3],[6]] => [1,1]
[[4],[6]] => [1,1]
[[5],[6]] => [1,1]
[[1,7]] => [2]
[[2,7]] => [2]
[[3,7]] => [2]
[[4,7]] => [2]
[[5,7]] => [2]
[[6,7]] => [2]
[[7,7]] => [2]
[[1],[7]] => [1,1]
[[2],[7]] => [1,1]
[[3],[7]] => [1,1]
[[4],[7]] => [1,1]
[[5],[7]] => [1,1]
[[6],[7]] => [1,1]
[[1,8]] => [2]
[[2,8]] => [2]
[[3,8]] => [2]
[[4,8]] => [2]
[[5,8]] => [2]
[[6,8]] => [2]
[[7,8]] => [2]
[[8,8]] => [2]
[[1],[8]] => [1,1]
[[2],[8]] => [1,1]
[[3],[8]] => [1,1]
[[4],[8]] => [1,1]
[[5],[8]] => [1,1]
[[6],[8]] => [1,1]
[[7],[8]] => [1,1]
[[1,1,1]] => [3]
[[1,1,2]] => [3]
[[1,2,2]] => [3]
[[2,2,2]] => [3]
[[1,1],[2]] => [2,1]
[[1,2],[2]] => [2,1]
[[1,1,3]] => [3]
[[1,2,3]] => [3]
[[1,3,3]] => [3]
[[2,2,3]] => [3]
[[2,3,3]] => [3]
[[3,3,3]] => [3]
[[1,1],[3]] => [2,1]
[[1,2],[3]] => [2,1]
[[1,3],[2]] => [2,1]
[[1,3],[3]] => [2,1]
[[2,2],[3]] => [2,1]
[[2,3],[3]] => [2,1]
[[1],[2],[3]] => [1,1,1]
[[1,1,4]] => [3]
[[1,2,4]] => [3]
[[1,3,4]] => [3]
[[1,4,4]] => [3]
[[2,2,4]] => [3]
[[2,3,4]] => [3]
[[2,4,4]] => [3]
[[3,3,4]] => [3]
[[3,4,4]] => [3]
[[4,4,4]] => [3]
[[1,1],[4]] => [2,1]
[[1,2],[4]] => [2,1]
>>> Load all 2544 entries. <<<
[[1,4],[2]] => [2,1]
[[1,3],[4]] => [2,1]
[[1,4],[3]] => [2,1]
[[1,4],[4]] => [2,1]
[[2,2],[4]] => [2,1]
[[2,3],[4]] => [2,1]
[[2,4],[3]] => [2,1]
[[2,4],[4]] => [2,1]
[[3,3],[4]] => [2,1]
[[3,4],[4]] => [2,1]
[[1],[2],[4]] => [1,1,1]
[[1],[3],[4]] => [1,1,1]
[[2],[3],[4]] => [1,1,1]
[[1,1,5]] => [3]
[[1,2,5]] => [3]
[[1,3,5]] => [3]
[[1,4,5]] => [3]
[[1,5,5]] => [3]
[[2,2,5]] => [3]
[[2,3,5]] => [3]
[[2,4,5]] => [3]
[[2,5,5]] => [3]
[[3,3,5]] => [3]
[[3,4,5]] => [3]
[[3,5,5]] => [3]
[[4,4,5]] => [3]
[[4,5,5]] => [3]
[[5,5,5]] => [3]
[[1,1],[5]] => [2,1]
[[1,2],[5]] => [2,1]
[[1,5],[2]] => [2,1]
[[1,3],[5]] => [2,1]
[[1,5],[3]] => [2,1]
[[1,4],[5]] => [2,1]
[[1,5],[4]] => [2,1]
[[1,5],[5]] => [2,1]
[[2,2],[5]] => [2,1]
[[2,3],[5]] => [2,1]
[[2,5],[3]] => [2,1]
[[2,4],[5]] => [2,1]
[[2,5],[4]] => [2,1]
[[2,5],[5]] => [2,1]
[[3,3],[5]] => [2,1]
[[3,4],[5]] => [2,1]
[[3,5],[4]] => [2,1]
[[3,5],[5]] => [2,1]
[[4,4],[5]] => [2,1]
[[4,5],[5]] => [2,1]
[[1],[2],[5]] => [1,1,1]
[[1],[3],[5]] => [1,1,1]
[[1],[4],[5]] => [1,1,1]
[[2],[3],[5]] => [1,1,1]
[[2],[4],[5]] => [1,1,1]
[[3],[4],[5]] => [1,1,1]
[[1,1,6]] => [3]
[[1,2,6]] => [3]
[[1,3,6]] => [3]
[[1,4,6]] => [3]
[[1,5,6]] => [3]
[[1,6,6]] => [3]
[[2,2,6]] => [3]
[[2,3,6]] => [3]
[[2,4,6]] => [3]
[[2,5,6]] => [3]
[[2,6,6]] => [3]
[[3,3,6]] => [3]
[[3,4,6]] => [3]
[[3,5,6]] => [3]
[[3,6,6]] => [3]
[[4,4,6]] => [3]
[[4,5,6]] => [3]
[[4,6,6]] => [3]
[[5,5,6]] => [3]
[[5,6,6]] => [3]
[[6,6,6]] => [3]
[[1,1],[6]] => [2,1]
[[1,2],[6]] => [2,1]
[[1,6],[2]] => [2,1]
[[1,3],[6]] => [2,1]
[[1,6],[3]] => [2,1]
[[1,4],[6]] => [2,1]
[[1,6],[4]] => [2,1]
[[1,5],[6]] => [2,1]
[[1,6],[5]] => [2,1]
[[1,6],[6]] => [2,1]
[[2,2],[6]] => [2,1]
[[2,3],[6]] => [2,1]
[[2,6],[3]] => [2,1]
[[2,4],[6]] => [2,1]
[[2,6],[4]] => [2,1]
[[2,5],[6]] => [2,1]
[[2,6],[5]] => [2,1]
[[2,6],[6]] => [2,1]
[[3,3],[6]] => [2,1]
[[3,4],[6]] => [2,1]
[[3,6],[4]] => [2,1]
[[3,5],[6]] => [2,1]
[[3,6],[5]] => [2,1]
[[3,6],[6]] => [2,1]
[[4,4],[6]] => [2,1]
[[4,5],[6]] => [2,1]
[[4,6],[5]] => [2,1]
[[4,6],[6]] => [2,1]
[[5,5],[6]] => [2,1]
[[5,6],[6]] => [2,1]
[[1],[2],[6]] => [1,1,1]
[[1],[3],[6]] => [1,1,1]
[[1],[4],[6]] => [1,1,1]
[[1],[5],[6]] => [1,1,1]
[[2],[3],[6]] => [1,1,1]
[[2],[4],[6]] => [1,1,1]
[[2],[5],[6]] => [1,1,1]
[[3],[4],[6]] => [1,1,1]
[[3],[5],[6]] => [1,1,1]
[[4],[5],[6]] => [1,1,1]
[[1,1,7]] => [3]
[[1,2,7]] => [3]
[[1,3,7]] => [3]
[[1,4,7]] => [3]
[[1,5,7]] => [3]
[[1,6,7]] => [3]
[[1,7,7]] => [3]
[[2,2,7]] => [3]
[[2,3,7]] => [3]
[[2,4,7]] => [3]
[[2,5,7]] => [3]
[[2,6,7]] => [3]
[[2,7,7]] => [3]
[[3,3,7]] => [3]
[[3,4,7]] => [3]
[[3,5,7]] => [3]
[[3,6,7]] => [3]
[[3,7,7]] => [3]
[[4,4,7]] => [3]
[[4,5,7]] => [3]
[[4,6,7]] => [3]
[[4,7,7]] => [3]
[[5,5,7]] => [3]
[[5,6,7]] => [3]
[[5,7,7]] => [3]
[[6,6,7]] => [3]
[[6,7,7]] => [3]
[[7,7,7]] => [3]
[[1,1],[7]] => [2,1]
[[1,2],[7]] => [2,1]
[[1,7],[2]] => [2,1]
[[1,3],[7]] => [2,1]
[[1,7],[3]] => [2,1]
[[1,4],[7]] => [2,1]
[[1,7],[4]] => [2,1]
[[1,5],[7]] => [2,1]
[[1,7],[5]] => [2,1]
[[1,6],[7]] => [2,1]
[[1,7],[6]] => [2,1]
[[1,7],[7]] => [2,1]
[[2,2],[7]] => [2,1]
[[2,3],[7]] => [2,1]
[[2,7],[3]] => [2,1]
[[2,4],[7]] => [2,1]
[[2,7],[4]] => [2,1]
[[2,5],[7]] => [2,1]
[[2,7],[5]] => [2,1]
[[2,6],[7]] => [2,1]
[[2,7],[6]] => [2,1]
[[2,7],[7]] => [2,1]
[[3,3],[7]] => [2,1]
[[3,4],[7]] => [2,1]
[[3,7],[4]] => [2,1]
[[3,5],[7]] => [2,1]
[[3,7],[5]] => [2,1]
[[3,6],[7]] => [2,1]
[[3,7],[6]] => [2,1]
[[3,7],[7]] => [2,1]
[[4,4],[7]] => [2,1]
[[4,5],[7]] => [2,1]
[[4,7],[5]] => [2,1]
[[4,6],[7]] => [2,1]
[[4,7],[6]] => [2,1]
[[4,7],[7]] => [2,1]
[[5,5],[7]] => [2,1]
[[5,6],[7]] => [2,1]
[[5,7],[6]] => [2,1]
[[5,7],[7]] => [2,1]
[[6,6],[7]] => [2,1]
[[6,7],[7]] => [2,1]
[[1],[2],[7]] => [1,1,1]
[[1],[3],[7]] => [1,1,1]
[[1],[4],[7]] => [1,1,1]
[[1],[5],[7]] => [1,1,1]
[[1],[6],[7]] => [1,1,1]
[[2],[3],[7]] => [1,1,1]
[[2],[4],[7]] => [1,1,1]
[[2],[5],[7]] => [1,1,1]
[[2],[6],[7]] => [1,1,1]
[[3],[4],[7]] => [1,1,1]
[[3],[5],[7]] => [1,1,1]
[[3],[6],[7]] => [1,1,1]
[[4],[5],[7]] => [1,1,1]
[[4],[6],[7]] => [1,1,1]
[[5],[6],[7]] => [1,1,1]
[[1,1,1,1]] => [4]
[[1,1,1,2]] => [4]
[[1,1,2,2]] => [4]
[[1,2,2,2]] => [4]
[[2,2,2,2]] => [4]
[[1,1,1],[2]] => [3,1]
[[1,1,2],[2]] => [3,1]
[[1,2,2],[2]] => [3,1]
[[1,1],[2,2]] => [2,2]
[[1,1,1,3]] => [4]
[[1,1,2,3]] => [4]
[[1,1,3,3]] => [4]
[[1,2,2,3]] => [4]
[[1,2,3,3]] => [4]
[[1,3,3,3]] => [4]
[[2,2,2,3]] => [4]
[[2,2,3,3]] => [4]
[[2,3,3,3]] => [4]
[[3,3,3,3]] => [4]
[[1,1,1],[3]] => [3,1]
[[1,1,2],[3]] => [3,1]
[[1,1,3],[2]] => [3,1]
[[1,1,3],[3]] => [3,1]
[[1,2,2],[3]] => [3,1]
[[1,2,3],[2]] => [3,1]
[[1,2,3],[3]] => [3,1]
[[1,3,3],[2]] => [3,1]
[[1,3,3],[3]] => [3,1]
[[2,2,2],[3]] => [3,1]
[[2,2,3],[3]] => [3,1]
[[2,3,3],[3]] => [3,1]
[[1,1],[2,3]] => [2,2]
[[1,1],[3,3]] => [2,2]
[[1,2],[2,3]] => [2,2]
[[1,2],[3,3]] => [2,2]
[[2,2],[3,3]] => [2,2]
[[1,1],[2],[3]] => [2,1,1]
[[1,2],[2],[3]] => [2,1,1]
[[1,3],[2],[3]] => [2,1,1]
[[1,1,1,4]] => [4]
[[1,1,2,4]] => [4]
[[1,1,3,4]] => [4]
[[1,1,4,4]] => [4]
[[1,2,2,4]] => [4]
[[1,2,3,4]] => [4]
[[1,2,4,4]] => [4]
[[1,3,3,4]] => [4]
[[1,3,4,4]] => [4]
[[1,4,4,4]] => [4]
[[2,2,2,4]] => [4]
[[2,2,3,4]] => [4]
[[2,2,4,4]] => [4]
[[2,3,3,4]] => [4]
[[2,3,4,4]] => [4]
[[2,4,4,4]] => [4]
[[3,3,3,4]] => [4]
[[3,3,4,4]] => [4]
[[3,4,4,4]] => [4]
[[4,4,4,4]] => [4]
[[1,1,1],[4]] => [3,1]
[[1,1,2],[4]] => [3,1]
[[1,1,4],[2]] => [3,1]
[[1,1,3],[4]] => [3,1]
[[1,1,4],[3]] => [3,1]
[[1,1,4],[4]] => [3,1]
[[1,2,2],[4]] => [3,1]
[[1,2,4],[2]] => [3,1]
[[1,2,3],[4]] => [3,1]
[[1,2,4],[3]] => [3,1]
[[1,3,4],[2]] => [3,1]
[[1,2,4],[4]] => [3,1]
[[1,4,4],[2]] => [3,1]
[[1,3,3],[4]] => [3,1]
[[1,3,4],[3]] => [3,1]
[[1,3,4],[4]] => [3,1]
[[1,4,4],[3]] => [3,1]
[[1,4,4],[4]] => [3,1]
[[2,2,2],[4]] => [3,1]
[[2,2,3],[4]] => [3,1]
[[2,2,4],[3]] => [3,1]
[[2,2,4],[4]] => [3,1]
[[2,3,3],[4]] => [3,1]
[[2,3,4],[3]] => [3,1]
[[2,3,4],[4]] => [3,1]
[[2,4,4],[3]] => [3,1]
[[2,4,4],[4]] => [3,1]
[[3,3,3],[4]] => [3,1]
[[3,3,4],[4]] => [3,1]
[[3,4,4],[4]] => [3,1]
[[1,1],[2,4]] => [2,2]
[[1,1],[3,4]] => [2,2]
[[1,1],[4,4]] => [2,2]
[[1,2],[2,4]] => [2,2]
[[1,2],[3,4]] => [2,2]
[[1,3],[2,4]] => [2,2]
[[1,2],[4,4]] => [2,2]
[[1,3],[3,4]] => [2,2]
[[1,3],[4,4]] => [2,2]
[[2,2],[3,4]] => [2,2]
[[2,2],[4,4]] => [2,2]
[[2,3],[3,4]] => [2,2]
[[2,3],[4,4]] => [2,2]
[[3,3],[4,4]] => [2,2]
[[1,1],[2],[4]] => [2,1,1]
[[1,1],[3],[4]] => [2,1,1]
[[1,2],[2],[4]] => [2,1,1]
[[1,2],[3],[4]] => [2,1,1]
[[1,3],[2],[4]] => [2,1,1]
[[1,4],[2],[3]] => [2,1,1]
[[1,4],[2],[4]] => [2,1,1]
[[1,3],[3],[4]] => [2,1,1]
[[1,4],[3],[4]] => [2,1,1]
[[2,2],[3],[4]] => [2,1,1]
[[2,3],[3],[4]] => [2,1,1]
[[2,4],[3],[4]] => [2,1,1]
[[1],[2],[3],[4]] => [1,1,1,1]
[[1,1,1,5]] => [4]
[[1,1,2,5]] => [4]
[[1,1,3,5]] => [4]
[[1,1,4,5]] => [4]
[[1,1,5,5]] => [4]
[[1,2,2,5]] => [4]
[[1,2,3,5]] => [4]
[[1,2,4,5]] => [4]
[[1,2,5,5]] => [4]
[[1,3,3,5]] => [4]
[[1,3,4,5]] => [4]
[[1,3,5,5]] => [4]
[[1,4,4,5]] => [4]
[[1,4,5,5]] => [4]
[[1,5,5,5]] => [4]
[[2,2,2,5]] => [4]
[[2,2,3,5]] => [4]
[[2,2,4,5]] => [4]
[[2,2,5,5]] => [4]
[[2,3,3,5]] => [4]
[[2,3,4,5]] => [4]
[[2,3,5,5]] => [4]
[[2,4,4,5]] => [4]
[[2,4,5,5]] => [4]
[[2,5,5,5]] => [4]
[[3,3,3,5]] => [4]
[[3,3,4,5]] => [4]
[[3,3,5,5]] => [4]
[[3,4,4,5]] => [4]
[[3,4,5,5]] => [4]
[[3,5,5,5]] => [4]
[[4,4,4,5]] => [4]
[[4,4,5,5]] => [4]
[[4,5,5,5]] => [4]
[[5,5,5,5]] => [4]
[[1,1,1],[5]] => [3,1]
[[1,1,2],[5]] => [3,1]
[[1,1,5],[2]] => [3,1]
[[1,1,3],[5]] => [3,1]
[[1,1,5],[3]] => [3,1]
[[1,1,4],[5]] => [3,1]
[[1,1,5],[4]] => [3,1]
[[1,1,5],[5]] => [3,1]
[[1,2,2],[5]] => [3,1]
[[1,2,5],[2]] => [3,1]
[[1,2,3],[5]] => [3,1]
[[1,2,5],[3]] => [3,1]
[[1,3,5],[2]] => [3,1]
[[1,2,4],[5]] => [3,1]
[[1,2,5],[4]] => [3,1]
[[1,4,5],[2]] => [3,1]
[[1,2,5],[5]] => [3,1]
[[1,5,5],[2]] => [3,1]
[[1,3,3],[5]] => [3,1]
[[1,3,5],[3]] => [3,1]
[[1,3,4],[5]] => [3,1]
[[1,3,5],[4]] => [3,1]
[[1,4,5],[3]] => [3,1]
[[1,3,5],[5]] => [3,1]
[[1,5,5],[3]] => [3,1]
[[1,4,4],[5]] => [3,1]
[[1,4,5],[4]] => [3,1]
[[1,4,5],[5]] => [3,1]
[[1,5,5],[4]] => [3,1]
[[1,5,5],[5]] => [3,1]
[[2,2,2],[5]] => [3,1]
[[2,2,3],[5]] => [3,1]
[[2,2,5],[3]] => [3,1]
[[2,2,4],[5]] => [3,1]
[[2,2,5],[4]] => [3,1]
[[2,2,5],[5]] => [3,1]
[[2,3,3],[5]] => [3,1]
[[2,3,5],[3]] => [3,1]
[[2,3,4],[5]] => [3,1]
[[2,3,5],[4]] => [3,1]
[[2,4,5],[3]] => [3,1]
[[2,3,5],[5]] => [3,1]
[[2,5,5],[3]] => [3,1]
[[2,4,4],[5]] => [3,1]
[[2,4,5],[4]] => [3,1]
[[2,4,5],[5]] => [3,1]
[[2,5,5],[4]] => [3,1]
[[2,5,5],[5]] => [3,1]
[[3,3,3],[5]] => [3,1]
[[3,3,4],[5]] => [3,1]
[[3,3,5],[4]] => [3,1]
[[3,3,5],[5]] => [3,1]
[[3,4,4],[5]] => [3,1]
[[3,4,5],[4]] => [3,1]
[[3,4,5],[5]] => [3,1]
[[3,5,5],[4]] => [3,1]
[[3,5,5],[5]] => [3,1]
[[4,4,4],[5]] => [3,1]
[[4,4,5],[5]] => [3,1]
[[4,5,5],[5]] => [3,1]
[[1,1],[2,5]] => [2,2]
[[1,1],[3,5]] => [2,2]
[[1,1],[4,5]] => [2,2]
[[1,1],[5,5]] => [2,2]
[[1,2],[2,5]] => [2,2]
[[1,2],[3,5]] => [2,2]
[[1,3],[2,5]] => [2,2]
[[1,2],[4,5]] => [2,2]
[[1,4],[2,5]] => [2,2]
[[1,2],[5,5]] => [2,2]
[[1,3],[3,5]] => [2,2]
[[1,3],[4,5]] => [2,2]
[[1,4],[3,5]] => [2,2]
[[1,3],[5,5]] => [2,2]
[[1,4],[4,5]] => [2,2]
[[1,4],[5,5]] => [2,2]
[[2,2],[3,5]] => [2,2]
[[2,2],[4,5]] => [2,2]
[[2,2],[5,5]] => [2,2]
[[2,3],[3,5]] => [2,2]
[[2,3],[4,5]] => [2,2]
[[2,4],[3,5]] => [2,2]
[[2,3],[5,5]] => [2,2]
[[2,4],[4,5]] => [2,2]
[[2,4],[5,5]] => [2,2]
[[3,3],[4,5]] => [2,2]
[[3,3],[5,5]] => [2,2]
[[3,4],[4,5]] => [2,2]
[[3,4],[5,5]] => [2,2]
[[4,4],[5,5]] => [2,2]
[[1,1],[2],[5]] => [2,1,1]
[[1,1],[3],[5]] => [2,1,1]
[[1,1],[4],[5]] => [2,1,1]
[[1,2],[2],[5]] => [2,1,1]
[[1,2],[3],[5]] => [2,1,1]
[[1,3],[2],[5]] => [2,1,1]
[[1,5],[2],[3]] => [2,1,1]
[[1,2],[4],[5]] => [2,1,1]
[[1,4],[2],[5]] => [2,1,1]
[[1,5],[2],[4]] => [2,1,1]
[[1,5],[2],[5]] => [2,1,1]
[[1,3],[3],[5]] => [2,1,1]
[[1,3],[4],[5]] => [2,1,1]
[[1,4],[3],[5]] => [2,1,1]
[[1,5],[3],[4]] => [2,1,1]
[[1,5],[3],[5]] => [2,1,1]
[[1,4],[4],[5]] => [2,1,1]
[[1,5],[4],[5]] => [2,1,1]
[[2,2],[3],[5]] => [2,1,1]
[[2,2],[4],[5]] => [2,1,1]
[[2,3],[3],[5]] => [2,1,1]
[[2,3],[4],[5]] => [2,1,1]
[[2,4],[3],[5]] => [2,1,1]
[[2,5],[3],[4]] => [2,1,1]
[[2,5],[3],[5]] => [2,1,1]
[[2,4],[4],[5]] => [2,1,1]
[[2,5],[4],[5]] => [2,1,1]
[[3,3],[4],[5]] => [2,1,1]
[[3,4],[4],[5]] => [2,1,1]
[[3,5],[4],[5]] => [2,1,1]
[[1],[2],[3],[5]] => [1,1,1,1]
[[1],[2],[4],[5]] => [1,1,1,1]
[[1],[3],[4],[5]] => [1,1,1,1]
[[2],[3],[4],[5]] => [1,1,1,1]
[[1,1,1,6]] => [4]
[[1,1,2,6]] => [4]
[[1,1,3,6]] => [4]
[[1,1,4,6]] => [4]
[[1,1,5,6]] => [4]
[[1,1,6,6]] => [4]
[[1,2,2,6]] => [4]
[[1,2,3,6]] => [4]
[[1,2,4,6]] => [4]
[[1,2,5,6]] => [4]
[[1,2,6,6]] => [4]
[[1,3,3,6]] => [4]
[[1,3,4,6]] => [4]
[[1,3,5,6]] => [4]
[[1,3,6,6]] => [4]
[[1,4,4,6]] => [4]
[[1,4,5,6]] => [4]
[[1,4,6,6]] => [4]
[[1,5,5,6]] => [4]
[[1,5,6,6]] => [4]
[[1,6,6,6]] => [4]
[[2,2,2,6]] => [4]
[[2,2,3,6]] => [4]
[[2,2,4,6]] => [4]
[[2,2,5,6]] => [4]
[[2,2,6,6]] => [4]
[[2,3,3,6]] => [4]
[[2,3,4,6]] => [4]
[[2,3,5,6]] => [4]
[[2,3,6,6]] => [4]
[[2,4,4,6]] => [4]
[[2,4,5,6]] => [4]
[[2,4,6,6]] => [4]
[[2,5,5,6]] => [4]
[[2,5,6,6]] => [4]
[[2,6,6,6]] => [4]
[[3,3,3,6]] => [4]
[[3,3,4,6]] => [4]
[[3,3,5,6]] => [4]
[[3,3,6,6]] => [4]
[[3,4,4,6]] => [4]
[[3,4,5,6]] => [4]
[[3,4,6,6]] => [4]
[[3,5,5,6]] => [4]
[[3,5,6,6]] => [4]
[[3,6,6,6]] => [4]
[[4,4,4,6]] => [4]
[[4,4,5,6]] => [4]
[[4,4,6,6]] => [4]
[[4,5,5,6]] => [4]
[[4,5,6,6]] => [4]
[[4,6,6,6]] => [4]
[[5,5,5,6]] => [4]
[[5,5,6,6]] => [4]
[[5,6,6,6]] => [4]
[[6,6,6,6]] => [4]
[[1,1,1],[6]] => [3,1]
[[1,1,2],[6]] => [3,1]
[[1,1,6],[2]] => [3,1]
[[1,1,3],[6]] => [3,1]
[[1,1,6],[3]] => [3,1]
[[1,1,4],[6]] => [3,1]
[[1,1,6],[4]] => [3,1]
[[1,1,5],[6]] => [3,1]
[[1,1,6],[5]] => [3,1]
[[1,1,6],[6]] => [3,1]
[[1,2,2],[6]] => [3,1]
[[1,2,6],[2]] => [3,1]
[[1,2,3],[6]] => [3,1]
[[1,2,6],[3]] => [3,1]
[[1,3,6],[2]] => [3,1]
[[1,2,4],[6]] => [3,1]
[[1,2,6],[4]] => [3,1]
[[1,4,6],[2]] => [3,1]
[[1,2,5],[6]] => [3,1]
[[1,2,6],[5]] => [3,1]
[[1,5,6],[2]] => [3,1]
[[1,2,6],[6]] => [3,1]
[[1,6,6],[2]] => [3,1]
[[1,3,3],[6]] => [3,1]
[[1,3,6],[3]] => [3,1]
[[1,3,4],[6]] => [3,1]
[[1,3,6],[4]] => [3,1]
[[1,4,6],[3]] => [3,1]
[[1,3,5],[6]] => [3,1]
[[1,3,6],[5]] => [3,1]
[[1,5,6],[3]] => [3,1]
[[1,3,6],[6]] => [3,1]
[[1,6,6],[3]] => [3,1]
[[1,4,4],[6]] => [3,1]
[[1,4,6],[4]] => [3,1]
[[1,4,5],[6]] => [3,1]
[[1,4,6],[5]] => [3,1]
[[1,5,6],[4]] => [3,1]
[[1,4,6],[6]] => [3,1]
[[1,6,6],[4]] => [3,1]
[[1,5,5],[6]] => [3,1]
[[1,5,6],[5]] => [3,1]
[[1,5,6],[6]] => [3,1]
[[1,6,6],[5]] => [3,1]
[[1,6,6],[6]] => [3,1]
[[2,2,2],[6]] => [3,1]
[[2,2,3],[6]] => [3,1]
[[2,2,6],[3]] => [3,1]
[[2,2,4],[6]] => [3,1]
[[2,2,6],[4]] => [3,1]
[[2,2,5],[6]] => [3,1]
[[2,2,6],[5]] => [3,1]
[[2,2,6],[6]] => [3,1]
[[2,3,3],[6]] => [3,1]
[[2,3,6],[3]] => [3,1]
[[2,3,4],[6]] => [3,1]
[[2,3,6],[4]] => [3,1]
[[2,4,6],[3]] => [3,1]
[[2,3,5],[6]] => [3,1]
[[2,3,6],[5]] => [3,1]
[[2,5,6],[3]] => [3,1]
[[2,3,6],[6]] => [3,1]
[[2,6,6],[3]] => [3,1]
[[2,4,4],[6]] => [3,1]
[[2,4,6],[4]] => [3,1]
[[2,4,5],[6]] => [3,1]
[[2,4,6],[5]] => [3,1]
[[2,5,6],[4]] => [3,1]
[[2,4,6],[6]] => [3,1]
[[2,6,6],[4]] => [3,1]
[[2,5,5],[6]] => [3,1]
[[2,5,6],[5]] => [3,1]
[[2,5,6],[6]] => [3,1]
[[2,6,6],[5]] => [3,1]
[[2,6,6],[6]] => [3,1]
[[3,3,3],[6]] => [3,1]
[[3,3,4],[6]] => [3,1]
[[3,3,6],[4]] => [3,1]
[[3,3,5],[6]] => [3,1]
[[3,3,6],[5]] => [3,1]
[[3,3,6],[6]] => [3,1]
[[3,4,4],[6]] => [3,1]
[[3,4,6],[4]] => [3,1]
[[3,4,5],[6]] => [3,1]
[[3,4,6],[5]] => [3,1]
[[3,5,6],[4]] => [3,1]
[[3,4,6],[6]] => [3,1]
[[3,6,6],[4]] => [3,1]
[[3,5,5],[6]] => [3,1]
[[3,5,6],[5]] => [3,1]
[[3,5,6],[6]] => [3,1]
[[3,6,6],[5]] => [3,1]
[[3,6,6],[6]] => [3,1]
[[4,4,4],[6]] => [3,1]
[[4,4,5],[6]] => [3,1]
[[4,4,6],[5]] => [3,1]
[[4,4,6],[6]] => [3,1]
[[4,5,5],[6]] => [3,1]
[[4,5,6],[5]] => [3,1]
[[4,5,6],[6]] => [3,1]
[[4,6,6],[5]] => [3,1]
[[4,6,6],[6]] => [3,1]
[[5,5,5],[6]] => [3,1]
[[5,5,6],[6]] => [3,1]
[[5,6,6],[6]] => [3,1]
[[1,1],[2,6]] => [2,2]
[[1,1],[3,6]] => [2,2]
[[1,1],[4,6]] => [2,2]
[[1,1],[5,6]] => [2,2]
[[1,1],[6,6]] => [2,2]
[[1,2],[2,6]] => [2,2]
[[1,2],[3,6]] => [2,2]
[[1,3],[2,6]] => [2,2]
[[1,2],[4,6]] => [2,2]
[[1,4],[2,6]] => [2,2]
[[1,2],[5,6]] => [2,2]
[[1,5],[2,6]] => [2,2]
[[1,2],[6,6]] => [2,2]
[[1,3],[3,6]] => [2,2]
[[1,3],[4,6]] => [2,2]
[[1,4],[3,6]] => [2,2]
[[1,3],[5,6]] => [2,2]
[[1,5],[3,6]] => [2,2]
[[1,3],[6,6]] => [2,2]
[[1,4],[4,6]] => [2,2]
[[1,4],[5,6]] => [2,2]
[[1,5],[4,6]] => [2,2]
[[1,4],[6,6]] => [2,2]
[[1,5],[5,6]] => [2,2]
[[1,5],[6,6]] => [2,2]
[[2,2],[3,6]] => [2,2]
[[2,2],[4,6]] => [2,2]
[[2,2],[5,6]] => [2,2]
[[2,2],[6,6]] => [2,2]
[[2,3],[3,6]] => [2,2]
[[2,3],[4,6]] => [2,2]
[[2,4],[3,6]] => [2,2]
[[2,3],[5,6]] => [2,2]
[[2,5],[3,6]] => [2,2]
[[2,3],[6,6]] => [2,2]
[[2,4],[4,6]] => [2,2]
[[2,4],[5,6]] => [2,2]
[[2,5],[4,6]] => [2,2]
[[2,4],[6,6]] => [2,2]
[[2,5],[5,6]] => [2,2]
[[2,5],[6,6]] => [2,2]
[[3,3],[4,6]] => [2,2]
[[3,3],[5,6]] => [2,2]
[[3,3],[6,6]] => [2,2]
[[3,4],[4,6]] => [2,2]
[[3,4],[5,6]] => [2,2]
[[3,5],[4,6]] => [2,2]
[[3,4],[6,6]] => [2,2]
[[3,5],[5,6]] => [2,2]
[[3,5],[6,6]] => [2,2]
[[4,4],[5,6]] => [2,2]
[[4,4],[6,6]] => [2,2]
[[4,5],[5,6]] => [2,2]
[[4,5],[6,6]] => [2,2]
[[5,5],[6,6]] => [2,2]
[[1,1],[2],[6]] => [2,1,1]
[[1,1],[3],[6]] => [2,1,1]
[[1,1],[4],[6]] => [2,1,1]
[[1,1],[5],[6]] => [2,1,1]
[[1,2],[2],[6]] => [2,1,1]
[[1,2],[3],[6]] => [2,1,1]
[[1,3],[2],[6]] => [2,1,1]
[[1,6],[2],[3]] => [2,1,1]
[[1,2],[4],[6]] => [2,1,1]
[[1,4],[2],[6]] => [2,1,1]
[[1,6],[2],[4]] => [2,1,1]
[[1,2],[5],[6]] => [2,1,1]
[[1,5],[2],[6]] => [2,1,1]
[[1,6],[2],[5]] => [2,1,1]
[[1,6],[2],[6]] => [2,1,1]
[[1,3],[3],[6]] => [2,1,1]
[[1,3],[4],[6]] => [2,1,1]
[[1,4],[3],[6]] => [2,1,1]
[[1,6],[3],[4]] => [2,1,1]
[[1,3],[5],[6]] => [2,1,1]
[[1,5],[3],[6]] => [2,1,1]
[[1,6],[3],[5]] => [2,1,1]
[[1,6],[3],[6]] => [2,1,1]
[[1,4],[4],[6]] => [2,1,1]
[[1,4],[5],[6]] => [2,1,1]
[[1,5],[4],[6]] => [2,1,1]
[[1,6],[4],[5]] => [2,1,1]
[[1,6],[4],[6]] => [2,1,1]
[[1,5],[5],[6]] => [2,1,1]
[[1,6],[5],[6]] => [2,1,1]
[[2,2],[3],[6]] => [2,1,1]
[[2,2],[4],[6]] => [2,1,1]
[[2,2],[5],[6]] => [2,1,1]
[[2,3],[3],[6]] => [2,1,1]
[[2,3],[4],[6]] => [2,1,1]
[[2,4],[3],[6]] => [2,1,1]
[[2,6],[3],[4]] => [2,1,1]
[[2,3],[5],[6]] => [2,1,1]
[[2,5],[3],[6]] => [2,1,1]
[[2,6],[3],[5]] => [2,1,1]
[[2,6],[3],[6]] => [2,1,1]
[[2,4],[4],[6]] => [2,1,1]
[[2,4],[5],[6]] => [2,1,1]
[[2,5],[4],[6]] => [2,1,1]
[[2,6],[4],[5]] => [2,1,1]
[[2,6],[4],[6]] => [2,1,1]
[[2,5],[5],[6]] => [2,1,1]
[[2,6],[5],[6]] => [2,1,1]
[[3,3],[4],[6]] => [2,1,1]
[[3,3],[5],[6]] => [2,1,1]
[[3,4],[4],[6]] => [2,1,1]
[[3,4],[5],[6]] => [2,1,1]
[[3,5],[4],[6]] => [2,1,1]
[[3,6],[4],[5]] => [2,1,1]
[[3,6],[4],[6]] => [2,1,1]
[[3,5],[5],[6]] => [2,1,1]
[[3,6],[5],[6]] => [2,1,1]
[[4,4],[5],[6]] => [2,1,1]
[[4,5],[5],[6]] => [2,1,1]
[[4,6],[5],[6]] => [2,1,1]
[[1],[2],[3],[6]] => [1,1,1,1]
[[1],[2],[4],[6]] => [1,1,1,1]
[[1],[2],[5],[6]] => [1,1,1,1]
[[1],[3],[4],[6]] => [1,1,1,1]
[[1],[3],[5],[6]] => [1,1,1,1]
[[1],[4],[5],[6]] => [1,1,1,1]
[[2],[3],[4],[6]] => [1,1,1,1]
[[2],[3],[5],[6]] => [1,1,1,1]
[[2],[4],[5],[6]] => [1,1,1,1]
[[3],[4],[5],[6]] => [1,1,1,1]
[[1,1,1,1,1]] => [5]
[[1,1,1,1,2]] => [5]
[[1,1,1,2,2]] => [5]
[[1,1,2,2,2]] => [5]
[[1,2,2,2,2]] => [5]
[[2,2,2,2,2]] => [5]
[[1,1,1,1],[2]] => [4,1]
[[1,1,1,2],[2]] => [4,1]
[[1,1,2,2],[2]] => [4,1]
[[1,2,2,2],[2]] => [4,1]
[[1,1,1],[2,2]] => [3,2]
[[1,1,2],[2,2]] => [3,2]
[[1,1,1,1,3]] => [5]
[[1,1,1,2,3]] => [5]
[[1,1,1,3,3]] => [5]
[[1,1,2,2,3]] => [5]
[[1,1,2,3,3]] => [5]
[[1,1,3,3,3]] => [5]
[[1,2,2,2,3]] => [5]
[[1,2,2,3,3]] => [5]
[[1,2,3,3,3]] => [5]
[[1,3,3,3,3]] => [5]
[[2,2,2,2,3]] => [5]
[[2,2,2,3,3]] => [5]
[[2,2,3,3,3]] => [5]
[[2,3,3,3,3]] => [5]
[[3,3,3,3,3]] => [5]
[[1,1,1,1],[3]] => [4,1]
[[1,1,1,2],[3]] => [4,1]
[[1,1,1,3],[2]] => [4,1]
[[1,1,1,3],[3]] => [4,1]
[[1,1,2,2],[3]] => [4,1]
[[1,1,2,3],[2]] => [4,1]
[[1,1,2,3],[3]] => [4,1]
[[1,1,3,3],[2]] => [4,1]
[[1,1,3,3],[3]] => [4,1]
[[1,2,2,2],[3]] => [4,1]
[[1,2,2,3],[2]] => [4,1]
[[1,2,2,3],[3]] => [4,1]
[[1,2,3,3],[2]] => [4,1]
[[1,2,3,3],[3]] => [4,1]
[[1,3,3,3],[2]] => [4,1]
[[1,3,3,3],[3]] => [4,1]
[[2,2,2,2],[3]] => [4,1]
[[2,2,2,3],[3]] => [4,1]
[[2,2,3,3],[3]] => [4,1]
[[2,3,3,3],[3]] => [4,1]
[[1,1,1],[2,3]] => [3,2]
[[1,1,1],[3,3]] => [3,2]
[[1,1,2],[2,3]] => [3,2]
[[1,1,3],[2,2]] => [3,2]
[[1,1,2],[3,3]] => [3,2]
[[1,1,3],[2,3]] => [3,2]
[[1,1,3],[3,3]] => [3,2]
[[1,2,2],[2,3]] => [3,2]
[[1,2,2],[3,3]] => [3,2]
[[1,2,3],[2,3]] => [3,2]
[[1,2,3],[3,3]] => [3,2]
[[2,2,2],[3,3]] => [3,2]
[[2,2,3],[3,3]] => [3,2]
[[1,1,1],[2],[3]] => [3,1,1]
[[1,1,2],[2],[3]] => [3,1,1]
[[1,1,3],[2],[3]] => [3,1,1]
[[1,2,2],[2],[3]] => [3,1,1]
[[1,2,3],[2],[3]] => [3,1,1]
[[1,3,3],[2],[3]] => [3,1,1]
[[1,1],[2,2],[3]] => [2,2,1]
[[1,1],[2,3],[3]] => [2,2,1]
[[1,2],[2,3],[3]] => [2,2,1]
[[1,1,1,1,4]] => [5]
[[1,1,1,2,4]] => [5]
[[1,1,1,3,4]] => [5]
[[1,1,1,4,4]] => [5]
[[1,1,2,2,4]] => [5]
[[1,1,2,3,4]] => [5]
[[1,1,2,4,4]] => [5]
[[1,1,3,3,4]] => [5]
[[1,1,3,4,4]] => [5]
[[1,1,4,4,4]] => [5]
[[1,2,2,2,4]] => [5]
[[1,2,2,3,4]] => [5]
[[1,2,2,4,4]] => [5]
[[1,2,3,3,4]] => [5]
[[1,2,3,4,4]] => [5]
[[1,2,4,4,4]] => [5]
[[1,3,3,3,4]] => [5]
[[1,3,3,4,4]] => [5]
[[1,3,4,4,4]] => [5]
[[1,4,4,4,4]] => [5]
[[2,2,2,2,4]] => [5]
[[2,2,2,3,4]] => [5]
[[2,2,2,4,4]] => [5]
[[2,2,3,3,4]] => [5]
[[2,2,3,4,4]] => [5]
[[2,2,4,4,4]] => [5]
[[2,3,3,3,4]] => [5]
[[2,3,3,4,4]] => [5]
[[2,3,4,4,4]] => [5]
[[2,4,4,4,4]] => [5]
[[3,3,3,3,4]] => [5]
[[3,3,3,4,4]] => [5]
[[3,3,4,4,4]] => [5]
[[3,4,4,4,4]] => [5]
[[4,4,4,4,4]] => [5]
[[1,1,1,1],[4]] => [4,1]
[[1,1,1,2],[4]] => [4,1]
[[1,1,1,4],[2]] => [4,1]
[[1,1,1,3],[4]] => [4,1]
[[1,1,1,4],[3]] => [4,1]
[[1,1,1,4],[4]] => [4,1]
[[1,1,2,2],[4]] => [4,1]
[[1,1,2,4],[2]] => [4,1]
[[1,1,2,3],[4]] => [4,1]
[[1,1,2,4],[3]] => [4,1]
[[1,1,3,4],[2]] => [4,1]
[[1,1,2,4],[4]] => [4,1]
[[1,1,4,4],[2]] => [4,1]
[[1,1,3,3],[4]] => [4,1]
[[1,1,3,4],[3]] => [4,1]
[[1,1,3,4],[4]] => [4,1]
[[1,1,4,4],[3]] => [4,1]
[[1,1,4,4],[4]] => [4,1]
[[1,2,2,2],[4]] => [4,1]
[[1,2,2,4],[2]] => [4,1]
[[1,2,2,3],[4]] => [4,1]
[[1,2,2,4],[3]] => [4,1]
[[1,2,3,4],[2]] => [4,1]
[[1,2,2,4],[4]] => [4,1]
[[1,2,4,4],[2]] => [4,1]
[[1,2,3,3],[4]] => [4,1]
[[1,2,3,4],[3]] => [4,1]
[[1,3,3,4],[2]] => [4,1]
[[1,2,3,4],[4]] => [4,1]
[[1,2,4,4],[3]] => [4,1]
[[1,3,4,4],[2]] => [4,1]
[[1,2,4,4],[4]] => [4,1]
[[1,4,4,4],[2]] => [4,1]
[[1,3,3,3],[4]] => [4,1]
[[1,3,3,4],[3]] => [4,1]
[[1,3,3,4],[4]] => [4,1]
[[1,3,4,4],[3]] => [4,1]
[[1,3,4,4],[4]] => [4,1]
[[1,4,4,4],[3]] => [4,1]
[[1,4,4,4],[4]] => [4,1]
[[2,2,2,2],[4]] => [4,1]
[[2,2,2,3],[4]] => [4,1]
[[2,2,2,4],[3]] => [4,1]
[[2,2,2,4],[4]] => [4,1]
[[2,2,3,3],[4]] => [4,1]
[[2,2,3,4],[3]] => [4,1]
[[2,2,3,4],[4]] => [4,1]
[[2,2,4,4],[3]] => [4,1]
[[2,2,4,4],[4]] => [4,1]
[[2,3,3,3],[4]] => [4,1]
[[2,3,3,4],[3]] => [4,1]
[[2,3,3,4],[4]] => [4,1]
[[2,3,4,4],[3]] => [4,1]
[[2,3,4,4],[4]] => [4,1]
[[2,4,4,4],[3]] => [4,1]
[[2,4,4,4],[4]] => [4,1]
[[3,3,3,3],[4]] => [4,1]
[[3,3,3,4],[4]] => [4,1]
[[3,3,4,4],[4]] => [4,1]
[[3,4,4,4],[4]] => [4,1]
[[1,1,1],[2,4]] => [3,2]
[[1,1,1],[3,4]] => [3,2]
[[1,1,1],[4,4]] => [3,2]
[[1,1,2],[2,4]] => [3,2]
[[1,1,4],[2,2]] => [3,2]
[[1,1,2],[3,4]] => [3,2]
[[1,1,3],[2,4]] => [3,2]
[[1,1,4],[2,3]] => [3,2]
[[1,1,2],[4,4]] => [3,2]
[[1,1,4],[2,4]] => [3,2]
[[1,1,3],[3,4]] => [3,2]
[[1,1,4],[3,3]] => [3,2]
[[1,1,3],[4,4]] => [3,2]
[[1,1,4],[3,4]] => [3,2]
[[1,1,4],[4,4]] => [3,2]
[[1,2,2],[2,4]] => [3,2]
[[1,2,2],[3,4]] => [3,2]
[[1,2,3],[2,4]] => [3,2]
[[1,2,4],[2,3]] => [3,2]
[[1,2,2],[4,4]] => [3,2]
[[1,2,4],[2,4]] => [3,2]
[[1,2,3],[3,4]] => [3,2]
[[1,2,4],[3,3]] => [3,2]
[[1,3,3],[2,4]] => [3,2]
[[1,2,3],[4,4]] => [3,2]
[[1,2,4],[3,4]] => [3,2]
[[1,3,4],[2,4]] => [3,2]
[[1,2,4],[4,4]] => [3,2]
[[1,3,3],[3,4]] => [3,2]
[[1,3,3],[4,4]] => [3,2]
[[1,3,4],[3,4]] => [3,2]
[[1,3,4],[4,4]] => [3,2]
[[2,2,2],[3,4]] => [3,2]
[[2,2,2],[4,4]] => [3,2]
[[2,2,3],[3,4]] => [3,2]
[[2,2,4],[3,3]] => [3,2]
[[2,2,3],[4,4]] => [3,2]
[[2,2,4],[3,4]] => [3,2]
[[2,2,4],[4,4]] => [3,2]
[[2,3,3],[3,4]] => [3,2]
[[2,3,3],[4,4]] => [3,2]
[[2,3,4],[3,4]] => [3,2]
[[2,3,4],[4,4]] => [3,2]
[[3,3,3],[4,4]] => [3,2]
[[3,3,4],[4,4]] => [3,2]
[[1,1,1],[2],[4]] => [3,1,1]
[[1,1,1],[3],[4]] => [3,1,1]
[[1,1,2],[2],[4]] => [3,1,1]
[[1,1,2],[3],[4]] => [3,1,1]
[[1,1,3],[2],[4]] => [3,1,1]
[[1,1,4],[2],[3]] => [3,1,1]
[[1,1,4],[2],[4]] => [3,1,1]
[[1,1,3],[3],[4]] => [3,1,1]
[[1,1,4],[3],[4]] => [3,1,1]
[[1,2,2],[2],[4]] => [3,1,1]
[[1,2,2],[3],[4]] => [3,1,1]
[[1,2,3],[2],[4]] => [3,1,1]
[[1,2,4],[2],[3]] => [3,1,1]
[[1,2,4],[2],[4]] => [3,1,1]
[[1,2,3],[3],[4]] => [3,1,1]
[[1,3,3],[2],[4]] => [3,1,1]
[[1,3,4],[2],[3]] => [3,1,1]
[[1,2,4],[3],[4]] => [3,1,1]
[[1,3,4],[2],[4]] => [3,1,1]
[[1,4,4],[2],[3]] => [3,1,1]
[[1,4,4],[2],[4]] => [3,1,1]
[[1,3,3],[3],[4]] => [3,1,1]
[[1,3,4],[3],[4]] => [3,1,1]
[[1,4,4],[3],[4]] => [3,1,1]
[[2,2,2],[3],[4]] => [3,1,1]
[[2,2,3],[3],[4]] => [3,1,1]
[[2,2,4],[3],[4]] => [3,1,1]
[[2,3,3],[3],[4]] => [3,1,1]
[[2,3,4],[3],[4]] => [3,1,1]
[[2,4,4],[3],[4]] => [3,1,1]
[[1,1],[2,2],[4]] => [2,2,1]
[[1,1],[2,3],[4]] => [2,2,1]
[[1,1],[2,4],[3]] => [2,2,1]
[[1,1],[2,4],[4]] => [2,2,1]
[[1,1],[3,3],[4]] => [2,2,1]
[[1,1],[3,4],[4]] => [2,2,1]
[[1,2],[2,3],[4]] => [2,2,1]
[[1,2],[2,4],[3]] => [2,2,1]
[[1,2],[2,4],[4]] => [2,2,1]
[[1,2],[3,3],[4]] => [2,2,1]
[[1,3],[2,4],[3]] => [2,2,1]
[[1,2],[3,4],[4]] => [2,2,1]
[[1,3],[2,4],[4]] => [2,2,1]
[[1,3],[3,4],[4]] => [2,2,1]
[[2,2],[3,3],[4]] => [2,2,1]
[[2,2],[3,4],[4]] => [2,2,1]
[[2,3],[3,4],[4]] => [2,2,1]
[[1,1],[2],[3],[4]] => [2,1,1,1]
[[1,2],[2],[3],[4]] => [2,1,1,1]
[[1,3],[2],[3],[4]] => [2,1,1,1]
[[1,4],[2],[3],[4]] => [2,1,1,1]
[[1,1,1,1,5]] => [5]
[[1,1,1,2,5]] => [5]
[[1,1,1,3,5]] => [5]
[[1,1,1,4,5]] => [5]
[[1,1,1,5,5]] => [5]
[[1,1,2,2,5]] => [5]
[[1,1,2,3,5]] => [5]
[[1,1,2,4,5]] => [5]
[[1,1,2,5,5]] => [5]
[[1,1,3,3,5]] => [5]
[[1,1,3,4,5]] => [5]
[[1,1,3,5,5]] => [5]
[[1,1,4,4,5]] => [5]
[[1,1,4,5,5]] => [5]
[[1,1,5,5,5]] => [5]
[[1,2,2,2,5]] => [5]
[[1,2,2,3,5]] => [5]
[[1,2,2,4,5]] => [5]
[[1,2,2,5,5]] => [5]
[[1,2,3,3,5]] => [5]
[[1,2,3,4,5]] => [5]
[[1,2,3,5,5]] => [5]
[[1,2,4,4,5]] => [5]
[[1,2,4,5,5]] => [5]
[[1,2,5,5,5]] => [5]
[[1,3,3,3,5]] => [5]
[[1,3,3,4,5]] => [5]
[[1,3,3,5,5]] => [5]
[[1,3,4,4,5]] => [5]
[[1,3,4,5,5]] => [5]
[[1,3,5,5,5]] => [5]
[[1,4,4,4,5]] => [5]
[[1,4,4,5,5]] => [5]
[[1,4,5,5,5]] => [5]
[[1,5,5,5,5]] => [5]
[[2,2,2,2,5]] => [5]
[[2,2,2,3,5]] => [5]
[[2,2,2,4,5]] => [5]
[[2,2,2,5,5]] => [5]
[[2,2,3,3,5]] => [5]
[[2,2,3,4,5]] => [5]
[[2,2,3,5,5]] => [5]
[[2,2,4,4,5]] => [5]
[[2,2,4,5,5]] => [5]
[[2,2,5,5,5]] => [5]
[[2,3,3,3,5]] => [5]
[[2,3,3,4,5]] => [5]
[[2,3,3,5,5]] => [5]
[[2,3,4,4,5]] => [5]
[[2,3,4,5,5]] => [5]
[[2,3,5,5,5]] => [5]
[[2,4,4,4,5]] => [5]
[[2,4,4,5,5]] => [5]
[[2,4,5,5,5]] => [5]
[[2,5,5,5,5]] => [5]
[[3,3,3,3,5]] => [5]
[[3,3,3,4,5]] => [5]
[[3,3,3,5,5]] => [5]
[[3,3,4,4,5]] => [5]
[[3,3,4,5,5]] => [5]
[[3,3,5,5,5]] => [5]
[[3,4,4,4,5]] => [5]
[[3,4,4,5,5]] => [5]
[[3,4,5,5,5]] => [5]
[[3,5,5,5,5]] => [5]
[[4,4,4,4,5]] => [5]
[[4,4,4,5,5]] => [5]
[[4,4,5,5,5]] => [5]
[[4,5,5,5,5]] => [5]
[[5,5,5,5,5]] => [5]
[[1,1,1,1],[5]] => [4,1]
[[1,1,1,2],[5]] => [4,1]
[[1,1,1,5],[2]] => [4,1]
[[1,1,1,3],[5]] => [4,1]
[[1,1,1,5],[3]] => [4,1]
[[1,1,1,4],[5]] => [4,1]
[[1,1,1,5],[4]] => [4,1]
[[1,1,1,5],[5]] => [4,1]
[[1,1,2,2],[5]] => [4,1]
[[1,1,2,5],[2]] => [4,1]
[[1,1,2,3],[5]] => [4,1]
[[1,1,2,5],[3]] => [4,1]
[[1,1,3,5],[2]] => [4,1]
[[1,1,2,4],[5]] => [4,1]
[[1,1,2,5],[4]] => [4,1]
[[1,1,4,5],[2]] => [4,1]
[[1,1,2,5],[5]] => [4,1]
[[1,1,5,5],[2]] => [4,1]
[[1,1,3,3],[5]] => [4,1]
[[1,1,3,5],[3]] => [4,1]
[[1,1,3,4],[5]] => [4,1]
[[1,1,3,5],[4]] => [4,1]
[[1,1,4,5],[3]] => [4,1]
[[1,1,3,5],[5]] => [4,1]
[[1,1,5,5],[3]] => [4,1]
[[1,1,4,4],[5]] => [4,1]
[[1,1,4,5],[4]] => [4,1]
[[1,1,4,5],[5]] => [4,1]
[[1,1,5,5],[4]] => [4,1]
[[1,1,5,5],[5]] => [4,1]
[[1,2,2,2],[5]] => [4,1]
[[1,2,2,5],[2]] => [4,1]
[[1,2,2,3],[5]] => [4,1]
[[1,2,2,5],[3]] => [4,1]
[[1,2,3,5],[2]] => [4,1]
[[1,2,2,4],[5]] => [4,1]
[[1,2,2,5],[4]] => [4,1]
[[1,2,4,5],[2]] => [4,1]
[[1,2,2,5],[5]] => [4,1]
[[1,2,5,5],[2]] => [4,1]
[[1,2,3,3],[5]] => [4,1]
[[1,2,3,5],[3]] => [4,1]
[[1,3,3,5],[2]] => [4,1]
[[1,2,3,4],[5]] => [4,1]
[[1,2,3,5],[4]] => [4,1]
[[1,2,4,5],[3]] => [4,1]
[[1,3,4,5],[2]] => [4,1]
[[1,2,3,5],[5]] => [4,1]
[[1,2,5,5],[3]] => [4,1]
[[1,3,5,5],[2]] => [4,1]
[[1,2,4,4],[5]] => [4,1]
[[1,2,4,5],[4]] => [4,1]
[[1,4,4,5],[2]] => [4,1]
[[1,2,4,5],[5]] => [4,1]
[[1,2,5,5],[4]] => [4,1]
[[1,4,5,5],[2]] => [4,1]
[[1,2,5,5],[5]] => [4,1]
[[1,5,5,5],[2]] => [4,1]
[[1,3,3,3],[5]] => [4,1]
[[1,3,3,5],[3]] => [4,1]
[[1,3,3,4],[5]] => [4,1]
[[1,3,3,5],[4]] => [4,1]
[[1,3,4,5],[3]] => [4,1]
[[1,3,3,5],[5]] => [4,1]
[[1,3,5,5],[3]] => [4,1]
[[1,3,4,4],[5]] => [4,1]
[[1,3,4,5],[4]] => [4,1]
[[1,4,4,5],[3]] => [4,1]
[[1,3,4,5],[5]] => [4,1]
[[1,3,5,5],[4]] => [4,1]
[[1,4,5,5],[3]] => [4,1]
[[1,3,5,5],[5]] => [4,1]
[[1,5,5,5],[3]] => [4,1]
[[1,4,4,4],[5]] => [4,1]
[[1,4,4,5],[4]] => [4,1]
[[1,4,4,5],[5]] => [4,1]
[[1,4,5,5],[4]] => [4,1]
[[1,4,5,5],[5]] => [4,1]
[[1,5,5,5],[4]] => [4,1]
[[1,5,5,5],[5]] => [4,1]
[[2,2,2,2],[5]] => [4,1]
[[2,2,2,3],[5]] => [4,1]
[[2,2,2,5],[3]] => [4,1]
[[2,2,2,4],[5]] => [4,1]
[[2,2,2,5],[4]] => [4,1]
[[2,2,2,5],[5]] => [4,1]
[[2,2,3,3],[5]] => [4,1]
[[2,2,3,5],[3]] => [4,1]
[[2,2,3,4],[5]] => [4,1]
[[2,2,3,5],[4]] => [4,1]
[[2,2,4,5],[3]] => [4,1]
[[2,2,3,5],[5]] => [4,1]
[[2,2,5,5],[3]] => [4,1]
[[2,2,4,4],[5]] => [4,1]
[[2,2,4,5],[4]] => [4,1]
[[2,2,4,5],[5]] => [4,1]
[[2,2,5,5],[4]] => [4,1]
[[2,2,5,5],[5]] => [4,1]
[[2,3,3,3],[5]] => [4,1]
[[2,3,3,5],[3]] => [4,1]
[[2,3,3,4],[5]] => [4,1]
[[2,3,3,5],[4]] => [4,1]
[[2,3,4,5],[3]] => [4,1]
[[2,3,3,5],[5]] => [4,1]
[[2,3,5,5],[3]] => [4,1]
[[2,3,4,4],[5]] => [4,1]
[[2,3,4,5],[4]] => [4,1]
[[2,4,4,5],[3]] => [4,1]
[[2,3,4,5],[5]] => [4,1]
[[2,3,5,5],[4]] => [4,1]
[[2,4,5,5],[3]] => [4,1]
[[2,3,5,5],[5]] => [4,1]
[[2,5,5,5],[3]] => [4,1]
[[2,4,4,4],[5]] => [4,1]
[[2,4,4,5],[4]] => [4,1]
[[2,4,4,5],[5]] => [4,1]
[[2,4,5,5],[4]] => [4,1]
[[2,4,5,5],[5]] => [4,1]
[[2,5,5,5],[4]] => [4,1]
[[2,5,5,5],[5]] => [4,1]
[[3,3,3,3],[5]] => [4,1]
[[3,3,3,4],[5]] => [4,1]
[[3,3,3,5],[4]] => [4,1]
[[3,3,3,5],[5]] => [4,1]
[[3,3,4,4],[5]] => [4,1]
[[3,3,4,5],[4]] => [4,1]
[[3,3,4,5],[5]] => [4,1]
[[3,3,5,5],[4]] => [4,1]
[[3,3,5,5],[5]] => [4,1]
[[3,4,4,4],[5]] => [4,1]
[[3,4,4,5],[4]] => [4,1]
[[3,4,4,5],[5]] => [4,1]
[[3,4,5,5],[4]] => [4,1]
[[3,4,5,5],[5]] => [4,1]
[[3,5,5,5],[4]] => [4,1]
[[3,5,5,5],[5]] => [4,1]
[[4,4,4,4],[5]] => [4,1]
[[4,4,4,5],[5]] => [4,1]
[[4,4,5,5],[5]] => [4,1]
[[4,5,5,5],[5]] => [4,1]
[[1,1,1],[2,5]] => [3,2]
[[1,1,1],[3,5]] => [3,2]
[[1,1,1],[4,5]] => [3,2]
[[1,1,1],[5,5]] => [3,2]
[[1,1,2],[2,5]] => [3,2]
[[1,1,5],[2,2]] => [3,2]
[[1,1,2],[3,5]] => [3,2]
[[1,1,3],[2,5]] => [3,2]
[[1,1,5],[2,3]] => [3,2]
[[1,1,2],[4,5]] => [3,2]
[[1,1,4],[2,5]] => [3,2]
[[1,1,5],[2,4]] => [3,2]
[[1,1,2],[5,5]] => [3,2]
[[1,1,5],[2,5]] => [3,2]
[[1,1,3],[3,5]] => [3,2]
[[1,1,5],[3,3]] => [3,2]
[[1,1,3],[4,5]] => [3,2]
[[1,1,4],[3,5]] => [3,2]
[[1,1,5],[3,4]] => [3,2]
[[1,1,3],[5,5]] => [3,2]
[[1,1,5],[3,5]] => [3,2]
[[1,1,4],[4,5]] => [3,2]
[[1,1,5],[4,4]] => [3,2]
[[1,1,4],[5,5]] => [3,2]
[[1,1,5],[4,5]] => [3,2]
[[1,1,5],[5,5]] => [3,2]
[[1,2,2],[2,5]] => [3,2]
[[1,2,2],[3,5]] => [3,2]
[[1,2,3],[2,5]] => [3,2]
[[1,2,5],[2,3]] => [3,2]
[[1,2,2],[4,5]] => [3,2]
[[1,2,4],[2,5]] => [3,2]
[[1,2,5],[2,4]] => [3,2]
[[1,2,2],[5,5]] => [3,2]
[[1,2,5],[2,5]] => [3,2]
[[1,2,3],[3,5]] => [3,2]
[[1,2,5],[3,3]] => [3,2]
[[1,3,3],[2,5]] => [3,2]
[[1,2,3],[4,5]] => [3,2]
[[1,2,4],[3,5]] => [3,2]
[[1,2,5],[3,4]] => [3,2]
[[1,3,4],[2,5]] => [3,2]
[[1,3,5],[2,4]] => [3,2]
[[1,2,3],[5,5]] => [3,2]
[[1,2,5],[3,5]] => [3,2]
[[1,3,5],[2,5]] => [3,2]
[[1,2,4],[4,5]] => [3,2]
[[1,2,5],[4,4]] => [3,2]
[[1,4,4],[2,5]] => [3,2]
[[1,2,4],[5,5]] => [3,2]
[[1,2,5],[4,5]] => [3,2]
[[1,4,5],[2,5]] => [3,2]
[[1,2,5],[5,5]] => [3,2]
[[1,3,3],[3,5]] => [3,2]
[[1,3,3],[4,5]] => [3,2]
[[1,3,4],[3,5]] => [3,2]
[[1,3,5],[3,4]] => [3,2]
[[1,3,3],[5,5]] => [3,2]
[[1,3,5],[3,5]] => [3,2]
[[1,3,4],[4,5]] => [3,2]
[[1,3,5],[4,4]] => [3,2]
[[1,4,4],[3,5]] => [3,2]
[[1,3,4],[5,5]] => [3,2]
[[1,3,5],[4,5]] => [3,2]
[[1,4,5],[3,5]] => [3,2]
[[1,3,5],[5,5]] => [3,2]
[[1,4,4],[4,5]] => [3,2]
[[1,4,4],[5,5]] => [3,2]
[[1,4,5],[4,5]] => [3,2]
[[1,4,5],[5,5]] => [3,2]
[[2,2,2],[3,5]] => [3,2]
[[2,2,2],[4,5]] => [3,2]
[[2,2,2],[5,5]] => [3,2]
[[2,2,3],[3,5]] => [3,2]
[[2,2,5],[3,3]] => [3,2]
[[2,2,3],[4,5]] => [3,2]
[[2,2,4],[3,5]] => [3,2]
[[2,2,5],[3,4]] => [3,2]
[[2,2,3],[5,5]] => [3,2]
[[2,2,5],[3,5]] => [3,2]
[[2,2,4],[4,5]] => [3,2]
[[2,2,5],[4,4]] => [3,2]
[[2,2,4],[5,5]] => [3,2]
[[2,2,5],[4,5]] => [3,2]
[[2,2,5],[5,5]] => [3,2]
[[2,3,3],[3,5]] => [3,2]
[[2,3,3],[4,5]] => [3,2]
[[2,3,4],[3,5]] => [3,2]
[[2,3,5],[3,4]] => [3,2]
[[2,3,3],[5,5]] => [3,2]
[[2,3,5],[3,5]] => [3,2]
[[2,3,4],[4,5]] => [3,2]
[[2,3,5],[4,4]] => [3,2]
[[2,4,4],[3,5]] => [3,2]
[[2,3,4],[5,5]] => [3,2]
[[2,3,5],[4,5]] => [3,2]
[[2,4,5],[3,5]] => [3,2]
[[2,3,5],[5,5]] => [3,2]
[[2,4,4],[4,5]] => [3,2]
[[2,4,4],[5,5]] => [3,2]
[[2,4,5],[4,5]] => [3,2]
[[2,4,5],[5,5]] => [3,2]
[[3,3,3],[4,5]] => [3,2]
[[3,3,3],[5,5]] => [3,2]
[[3,3,4],[4,5]] => [3,2]
[[3,3,5],[4,4]] => [3,2]
[[3,3,4],[5,5]] => [3,2]
[[3,3,5],[4,5]] => [3,2]
[[3,3,5],[5,5]] => [3,2]
[[3,4,4],[4,5]] => [3,2]
[[3,4,4],[5,5]] => [3,2]
[[3,4,5],[4,5]] => [3,2]
[[3,4,5],[5,5]] => [3,2]
[[4,4,4],[5,5]] => [3,2]
[[4,4,5],[5,5]] => [3,2]
[[1,1,1],[2],[5]] => [3,1,1]
[[1,1,1],[3],[5]] => [3,1,1]
[[1,1,1],[4],[5]] => [3,1,1]
[[1,1,2],[2],[5]] => [3,1,1]
[[1,1,2],[3],[5]] => [3,1,1]
[[1,1,3],[2],[5]] => [3,1,1]
[[1,1,5],[2],[3]] => [3,1,1]
[[1,1,2],[4],[5]] => [3,1,1]
[[1,1,4],[2],[5]] => [3,1,1]
[[1,1,5],[2],[4]] => [3,1,1]
[[1,1,5],[2],[5]] => [3,1,1]
[[1,1,3],[3],[5]] => [3,1,1]
[[1,1,3],[4],[5]] => [3,1,1]
[[1,1,4],[3],[5]] => [3,1,1]
[[1,1,5],[3],[4]] => [3,1,1]
[[1,1,5],[3],[5]] => [3,1,1]
[[1,1,4],[4],[5]] => [3,1,1]
[[1,1,5],[4],[5]] => [3,1,1]
[[1,2,2],[2],[5]] => [3,1,1]
[[1,2,2],[3],[5]] => [3,1,1]
[[1,2,3],[2],[5]] => [3,1,1]
[[1,2,5],[2],[3]] => [3,1,1]
[[1,2,2],[4],[5]] => [3,1,1]
[[1,2,4],[2],[5]] => [3,1,1]
[[1,2,5],[2],[4]] => [3,1,1]
[[1,2,5],[2],[5]] => [3,1,1]
[[1,2,3],[3],[5]] => [3,1,1]
[[1,3,3],[2],[5]] => [3,1,1]
[[1,3,5],[2],[3]] => [3,1,1]
[[1,2,3],[4],[5]] => [3,1,1]
[[1,2,4],[3],[5]] => [3,1,1]
[[1,2,5],[3],[4]] => [3,1,1]
[[1,3,4],[2],[5]] => [3,1,1]
[[1,3,5],[2],[4]] => [3,1,1]
[[1,4,5],[2],[3]] => [3,1,1]
[[1,2,5],[3],[5]] => [3,1,1]
[[1,3,5],[2],[5]] => [3,1,1]
[[1,5,5],[2],[3]] => [3,1,1]
[[1,2,4],[4],[5]] => [3,1,1]
[[1,4,4],[2],[5]] => [3,1,1]
[[1,4,5],[2],[4]] => [3,1,1]
[[1,2,5],[4],[5]] => [3,1,1]
[[1,4,5],[2],[5]] => [3,1,1]
[[1,5,5],[2],[4]] => [3,1,1]
[[1,5,5],[2],[5]] => [3,1,1]
[[1,3,3],[3],[5]] => [3,1,1]
[[1,3,3],[4],[5]] => [3,1,1]
[[1,3,4],[3],[5]] => [3,1,1]
[[1,3,5],[3],[4]] => [3,1,1]
[[1,3,5],[3],[5]] => [3,1,1]
[[1,3,4],[4],[5]] => [3,1,1]
[[1,4,4],[3],[5]] => [3,1,1]
[[1,4,5],[3],[4]] => [3,1,1]
[[1,3,5],[4],[5]] => [3,1,1]
[[1,4,5],[3],[5]] => [3,1,1]
[[1,5,5],[3],[4]] => [3,1,1]
[[1,5,5],[3],[5]] => [3,1,1]
[[1,4,4],[4],[5]] => [3,1,1]
[[1,4,5],[4],[5]] => [3,1,1]
[[1,5,5],[4],[5]] => [3,1,1]
[[2,2,2],[3],[5]] => [3,1,1]
[[2,2,2],[4],[5]] => [3,1,1]
[[2,2,3],[3],[5]] => [3,1,1]
[[2,2,3],[4],[5]] => [3,1,1]
[[2,2,4],[3],[5]] => [3,1,1]
[[2,2,5],[3],[4]] => [3,1,1]
[[2,2,5],[3],[5]] => [3,1,1]
[[2,2,4],[4],[5]] => [3,1,1]
[[2,2,5],[4],[5]] => [3,1,1]
[[2,3,3],[3],[5]] => [3,1,1]
[[2,3,3],[4],[5]] => [3,1,1]
[[2,3,4],[3],[5]] => [3,1,1]
[[2,3,5],[3],[4]] => [3,1,1]
[[2,3,5],[3],[5]] => [3,1,1]
[[2,3,4],[4],[5]] => [3,1,1]
[[2,4,4],[3],[5]] => [3,1,1]
[[2,4,5],[3],[4]] => [3,1,1]
[[2,3,5],[4],[5]] => [3,1,1]
[[2,4,5],[3],[5]] => [3,1,1]
[[2,5,5],[3],[4]] => [3,1,1]
[[2,5,5],[3],[5]] => [3,1,1]
[[2,4,4],[4],[5]] => [3,1,1]
[[2,4,5],[4],[5]] => [3,1,1]
[[2,5,5],[4],[5]] => [3,1,1]
[[3,3,3],[4],[5]] => [3,1,1]
[[3,3,4],[4],[5]] => [3,1,1]
[[3,3,5],[4],[5]] => [3,1,1]
[[3,4,4],[4],[5]] => [3,1,1]
[[3,4,5],[4],[5]] => [3,1,1]
[[3,5,5],[4],[5]] => [3,1,1]
[[1,1],[2,2],[5]] => [2,2,1]
[[1,1],[2,3],[5]] => [2,2,1]
[[1,1],[2,5],[3]] => [2,2,1]
[[1,1],[2,4],[5]] => [2,2,1]
[[1,1],[2,5],[4]] => [2,2,1]
[[1,1],[2,5],[5]] => [2,2,1]
[[1,1],[3,3],[5]] => [2,2,1]
[[1,1],[3,4],[5]] => [2,2,1]
[[1,1],[3,5],[4]] => [2,2,1]
[[1,1],[3,5],[5]] => [2,2,1]
[[1,1],[4,4],[5]] => [2,2,1]
[[1,1],[4,5],[5]] => [2,2,1]
[[1,2],[2,3],[5]] => [2,2,1]
[[1,2],[2,5],[3]] => [2,2,1]
[[1,2],[2,4],[5]] => [2,2,1]
[[1,2],[2,5],[4]] => [2,2,1]
[[1,2],[2,5],[5]] => [2,2,1]
[[1,2],[3,3],[5]] => [2,2,1]
[[1,3],[2,5],[3]] => [2,2,1]
[[1,2],[3,4],[5]] => [2,2,1]
[[1,2],[3,5],[4]] => [2,2,1]
[[1,3],[2,4],[5]] => [2,2,1]
[[1,3],[2,5],[4]] => [2,2,1]
[[1,4],[2,5],[3]] => [2,2,1]
[[1,2],[3,5],[5]] => [2,2,1]
[[1,3],[2,5],[5]] => [2,2,1]
[[1,2],[4,4],[5]] => [2,2,1]
[[1,4],[2,5],[4]] => [2,2,1]
[[1,2],[4,5],[5]] => [2,2,1]
[[1,4],[2,5],[5]] => [2,2,1]
[[1,3],[3,4],[5]] => [2,2,1]
[[1,3],[3,5],[4]] => [2,2,1]
[[1,3],[3,5],[5]] => [2,2,1]
[[1,3],[4,4],[5]] => [2,2,1]
[[1,4],[3,5],[4]] => [2,2,1]
[[1,3],[4,5],[5]] => [2,2,1]
[[1,4],[3,5],[5]] => [2,2,1]
[[1,4],[4,5],[5]] => [2,2,1]
[[2,2],[3,3],[5]] => [2,2,1]
[[2,2],[3,4],[5]] => [2,2,1]
[[2,2],[3,5],[4]] => [2,2,1]
[[2,2],[3,5],[5]] => [2,2,1]
[[2,2],[4,4],[5]] => [2,2,1]
[[2,2],[4,5],[5]] => [2,2,1]
[[2,3],[3,4],[5]] => [2,2,1]
[[2,3],[3,5],[4]] => [2,2,1]
[[2,3],[3,5],[5]] => [2,2,1]
[[2,3],[4,4],[5]] => [2,2,1]
[[2,4],[3,5],[4]] => [2,2,1]
[[2,3],[4,5],[5]] => [2,2,1]
[[2,4],[3,5],[5]] => [2,2,1]
[[2,4],[4,5],[5]] => [2,2,1]
[[3,3],[4,4],[5]] => [2,2,1]
[[3,3],[4,5],[5]] => [2,2,1]
[[3,4],[4,5],[5]] => [2,2,1]
[[1,1],[2],[3],[5]] => [2,1,1,1]
[[1,1],[2],[4],[5]] => [2,1,1,1]
[[1,1],[3],[4],[5]] => [2,1,1,1]
[[1,2],[2],[3],[5]] => [2,1,1,1]
[[1,2],[2],[4],[5]] => [2,1,1,1]
[[1,3],[2],[3],[5]] => [2,1,1,1]
[[1,2],[3],[4],[5]] => [2,1,1,1]
[[1,3],[2],[4],[5]] => [2,1,1,1]
[[1,4],[2],[3],[5]] => [2,1,1,1]
[[1,5],[2],[3],[4]] => [2,1,1,1]
[[1,5],[2],[3],[5]] => [2,1,1,1]
[[1,4],[2],[4],[5]] => [2,1,1,1]
[[1,5],[2],[4],[5]] => [2,1,1,1]
[[1,3],[3],[4],[5]] => [2,1,1,1]
[[1,4],[3],[4],[5]] => [2,1,1,1]
[[1,5],[3],[4],[5]] => [2,1,1,1]
[[2,2],[3],[4],[5]] => [2,1,1,1]
[[2,3],[3],[4],[5]] => [2,1,1,1]
[[2,4],[3],[4],[5]] => [2,1,1,1]
[[2,5],[3],[4],[5]] => [2,1,1,1]
[[1],[2],[3],[4],[5]] => [1,1,1,1,1]
[[1,1,1,1,1,2]] => [6]
[[1,1,1,1,2,2]] => [6]
[[1,1,1,2,2,2]] => [6]
[[1,1,2,2,2,2]] => [6]
[[1,2,2,2,2,2]] => [6]
[[2,2,2,2,2,2]] => [6]
[[1,1,1,1,1],[2]] => [5,1]
[[1,1,1,1,2],[2]] => [5,1]
[[1,1,1,2,2],[2]] => [5,1]
[[1,1,2,2,2],[2]] => [5,1]
[[1,2,2,2,2],[2]] => [5,1]
[[1,1,1,1],[2,2]] => [4,2]
[[1,1,1,2],[2,2]] => [4,2]
[[1,1,2,2],[2,2]] => [4,2]
[[1,1,1],[2,2,2]] => [3,3]
[[1,1,1,1,1,3]] => [6]
[[1,1,1,1,2,3]] => [6]
[[1,1,1,1,3,3]] => [6]
[[1,1,1,2,2,3]] => [6]
[[1,1,1,2,3,3]] => [6]
[[1,1,1,3,3,3]] => [6]
[[1,1,2,2,2,3]] => [6]
[[1,1,2,2,3,3]] => [6]
[[1,1,2,3,3,3]] => [6]
[[1,1,3,3,3,3]] => [6]
[[1,2,2,2,2,3]] => [6]
[[1,2,2,2,3,3]] => [6]
[[1,2,2,3,3,3]] => [6]
[[1,2,3,3,3,3]] => [6]
[[1,3,3,3,3,3]] => [6]
[[2,2,2,2,2,3]] => [6]
[[2,2,2,2,3,3]] => [6]
[[2,2,2,3,3,3]] => [6]
[[2,2,3,3,3,3]] => [6]
[[2,3,3,3,3,3]] => [6]
[[3,3,3,3,3,3]] => [6]
[[1,1,1,1,1],[3]] => [5,1]
[[1,1,1,1,2],[3]] => [5,1]
[[1,1,1,1,3],[2]] => [5,1]
[[1,1,1,1,3],[3]] => [5,1]
[[1,1,1,2,2],[3]] => [5,1]
[[1,1,1,2,3],[2]] => [5,1]
[[1,1,1,2,3],[3]] => [5,1]
[[1,1,1,3,3],[2]] => [5,1]
[[1,1,1,3,3],[3]] => [5,1]
[[1,1,2,2,2],[3]] => [5,1]
[[1,1,2,2,3],[2]] => [5,1]
[[1,1,2,2,3],[3]] => [5,1]
[[1,1,2,3,3],[2]] => [5,1]
[[1,1,2,3,3],[3]] => [5,1]
[[1,1,3,3,3],[2]] => [5,1]
[[1,1,3,3,3],[3]] => [5,1]
[[1,2,2,2,2],[3]] => [5,1]
[[1,2,2,2,3],[2]] => [5,1]
[[1,2,2,2,3],[3]] => [5,1]
[[1,2,2,3,3],[2]] => [5,1]
[[1,2,2,3,3],[3]] => [5,1]
[[1,2,3,3,3],[2]] => [5,1]
[[1,2,3,3,3],[3]] => [5,1]
[[1,3,3,3,3],[2]] => [5,1]
[[1,3,3,3,3],[3]] => [5,1]
[[2,2,2,2,2],[3]] => [5,1]
[[2,2,2,2,3],[3]] => [5,1]
[[2,2,2,3,3],[3]] => [5,1]
[[2,2,3,3,3],[3]] => [5,1]
[[2,3,3,3,3],[3]] => [5,1]
[[1,1,1,1],[2,3]] => [4,2]
[[1,1,1,1],[3,3]] => [4,2]
[[1,1,1,2],[2,3]] => [4,2]
[[1,1,1,3],[2,2]] => [4,2]
[[1,1,1,2],[3,3]] => [4,2]
[[1,1,1,3],[2,3]] => [4,2]
[[1,1,1,3],[3,3]] => [4,2]
[[1,1,2,2],[2,3]] => [4,2]
[[1,1,2,3],[2,2]] => [4,2]
[[1,1,2,2],[3,3]] => [4,2]
[[1,1,2,3],[2,3]] => [4,2]
[[1,1,3,3],[2,2]] => [4,2]
[[1,1,2,3],[3,3]] => [4,2]
[[1,1,3,3],[2,3]] => [4,2]
[[1,1,3,3],[3,3]] => [4,2]
[[1,2,2,2],[2,3]] => [4,2]
[[1,2,2,2],[3,3]] => [4,2]
[[1,2,2,3],[2,3]] => [4,2]
[[1,2,2,3],[3,3]] => [4,2]
[[1,2,3,3],[2,3]] => [4,2]
[[1,2,3,3],[3,3]] => [4,2]
[[2,2,2,2],[3,3]] => [4,2]
[[2,2,2,3],[3,3]] => [4,2]
[[2,2,3,3],[3,3]] => [4,2]
[[1,1,1,1],[2],[3]] => [4,1,1]
[[1,1,1,2],[2],[3]] => [4,1,1]
[[1,1,1,3],[2],[3]] => [4,1,1]
[[1,1,2,2],[2],[3]] => [4,1,1]
[[1,1,2,3],[2],[3]] => [4,1,1]
[[1,1,3,3],[2],[3]] => [4,1,1]
[[1,2,2,2],[2],[3]] => [4,1,1]
[[1,2,2,3],[2],[3]] => [4,1,1]
[[1,2,3,3],[2],[3]] => [4,1,1]
[[1,3,3,3],[2],[3]] => [4,1,1]
[[1,1,1],[2,2,3]] => [3,3]
[[1,1,1],[2,3,3]] => [3,3]
[[1,1,1],[3,3,3]] => [3,3]
[[1,1,2],[2,2,3]] => [3,3]
[[1,1,2],[2,3,3]] => [3,3]
[[1,1,2],[3,3,3]] => [3,3]
[[1,2,2],[2,3,3]] => [3,3]
[[1,2,2],[3,3,3]] => [3,3]
[[2,2,2],[3,3,3]] => [3,3]
[[1,1,1],[2,2],[3]] => [3,2,1]
[[1,1,1],[2,3],[3]] => [3,2,1]
[[1,1,2],[2,2],[3]] => [3,2,1]
[[1,1,2],[2,3],[3]] => [3,2,1]
[[1,1,3],[2,2],[3]] => [3,2,1]
[[1,1,3],[2,3],[3]] => [3,2,1]
[[1,2,2],[2,3],[3]] => [3,2,1]
[[1,2,3],[2,3],[3]] => [3,2,1]
[[1,1],[2,2],[3,3]] => [2,2,2]
[[1,1,1,1,1,4]] => [6]
[[1,1,1,1,2,4]] => [6]
[[1,1,1,1,3,4]] => [6]
[[1,1,1,1,4,4]] => [6]
[[1,1,1,2,2,4]] => [6]
[[1,1,1,2,3,4]] => [6]
[[1,1,1,2,4,4]] => [6]
[[1,1,1,3,3,4]] => [6]
[[1,1,1,3,4,4]] => [6]
[[1,1,1,4,4,4]] => [6]
[[1,1,2,2,2,4]] => [6]
[[1,1,2,2,3,4]] => [6]
[[1,1,2,2,4,4]] => [6]
[[1,1,2,3,3,4]] => [6]
[[1,1,2,3,4,4]] => [6]
[[1,1,2,4,4,4]] => [6]
[[1,1,3,3,3,4]] => [6]
[[1,1,3,3,4,4]] => [6]
[[1,1,3,4,4,4]] => [6]
[[1,1,4,4,4,4]] => [6]
[[1,2,2,2,2,4]] => [6]
[[1,2,2,2,3,4]] => [6]
[[1,2,2,2,4,4]] => [6]
[[1,2,2,3,3,4]] => [6]
[[1,2,2,3,4,4]] => [6]
[[1,2,2,4,4,4]] => [6]
[[1,2,3,3,3,4]] => [6]
[[1,2,3,3,4,4]] => [6]
[[1,2,3,4,4,4]] => [6]
[[1,2,4,4,4,4]] => [6]
[[1,3,3,3,3,4]] => [6]
[[1,3,3,3,4,4]] => [6]
[[1,3,3,4,4,4]] => [6]
[[1,3,4,4,4,4]] => [6]
[[1,4,4,4,4,4]] => [6]
[[2,2,2,2,2,4]] => [6]
[[2,2,2,2,3,4]] => [6]
[[2,2,2,2,4,4]] => [6]
[[2,2,2,3,3,4]] => [6]
[[2,2,2,3,4,4]] => [6]
[[2,2,2,4,4,4]] => [6]
[[2,2,3,3,3,4]] => [6]
[[2,2,3,3,4,4]] => [6]
[[2,2,3,4,4,4]] => [6]
[[2,2,4,4,4,4]] => [6]
[[2,3,3,3,3,4]] => [6]
[[2,3,3,3,4,4]] => [6]
[[2,3,3,4,4,4]] => [6]
[[2,3,4,4,4,4]] => [6]
[[2,4,4,4,4,4]] => [6]
[[3,3,3,3,3,4]] => [6]
[[3,3,3,3,4,4]] => [6]
[[3,3,3,4,4,4]] => [6]
[[3,3,4,4,4,4]] => [6]
[[3,4,4,4,4,4]] => [6]
[[4,4,4,4,4,4]] => [6]
[[1,1,1,1,1],[4]] => [5,1]
[[1,1,1,1,2],[4]] => [5,1]
[[1,1,1,1,4],[2]] => [5,1]
[[1,1,1,1,3],[4]] => [5,1]
[[1,1,1,1,4],[3]] => [5,1]
[[1,1,1,1,4],[4]] => [5,1]
[[1,1,1,2,2],[4]] => [5,1]
[[1,1,1,2,4],[2]] => [5,1]
[[1,1,1,2,3],[4]] => [5,1]
[[1,1,1,2,4],[3]] => [5,1]
[[1,1,1,3,4],[2]] => [5,1]
[[1,1,1,2,4],[4]] => [5,1]
[[1,1,1,4,4],[2]] => [5,1]
[[1,1,1,3,3],[4]] => [5,1]
[[1,1,1,3,4],[3]] => [5,1]
[[1,1,1,3,4],[4]] => [5,1]
[[1,1,1,4,4],[3]] => [5,1]
[[1,1,1,4,4],[4]] => [5,1]
[[1,1,2,2,2],[4]] => [5,1]
[[1,1,2,2,4],[2]] => [5,1]
[[1,1,2,2,3],[4]] => [5,1]
[[1,1,2,2,4],[3]] => [5,1]
[[1,1,2,3,4],[2]] => [5,1]
[[1,1,2,2,4],[4]] => [5,1]
[[1,1,2,4,4],[2]] => [5,1]
[[1,1,2,3,3],[4]] => [5,1]
[[1,1,2,3,4],[3]] => [5,1]
[[1,1,3,3,4],[2]] => [5,1]
[[1,1,2,3,4],[4]] => [5,1]
[[1,1,2,4,4],[3]] => [5,1]
[[1,1,3,4,4],[2]] => [5,1]
[[1,1,2,4,4],[4]] => [5,1]
[[1,1,4,4,4],[2]] => [5,1]
[[1,1,3,3,3],[4]] => [5,1]
[[1,1,3,3,4],[3]] => [5,1]
[[1,1,3,3,4],[4]] => [5,1]
[[1,1,3,4,4],[3]] => [5,1]
[[1,1,3,4,4],[4]] => [5,1]
[[1,1,4,4,4],[3]] => [5,1]
[[1,1,4,4,4],[4]] => [5,1]
[[1,2,2,2,2],[4]] => [5,1]
[[1,2,2,2,4],[2]] => [5,1]
[[1,2,2,2,3],[4]] => [5,1]
[[1,2,2,2,4],[3]] => [5,1]
[[1,2,2,3,4],[2]] => [5,1]
[[1,2,2,2,4],[4]] => [5,1]
[[1,2,2,4,4],[2]] => [5,1]
[[1,2,2,3,3],[4]] => [5,1]
[[1,2,2,3,4],[3]] => [5,1]
[[1,2,3,3,4],[2]] => [5,1]
[[1,2,2,3,4],[4]] => [5,1]
[[1,2,2,4,4],[3]] => [5,1]
[[1,2,3,4,4],[2]] => [5,1]
[[1,2,2,4,4],[4]] => [5,1]
[[1,2,4,4,4],[2]] => [5,1]
[[1,2,3,3,3],[4]] => [5,1]
[[1,2,3,3,4],[3]] => [5,1]
[[1,3,3,3,4],[2]] => [5,1]
[[1,2,3,3,4],[4]] => [5,1]
[[1,2,3,4,4],[3]] => [5,1]
[[1,3,3,4,4],[2]] => [5,1]
[[1,2,3,4,4],[4]] => [5,1]
[[1,2,4,4,4],[3]] => [5,1]
[[1,3,4,4,4],[2]] => [5,1]
[[1,2,4,4,4],[4]] => [5,1]
[[1,4,4,4,4],[2]] => [5,1]
[[1,3,3,3,3],[4]] => [5,1]
[[1,3,3,3,4],[3]] => [5,1]
[[1,3,3,3,4],[4]] => [5,1]
[[1,3,3,4,4],[3]] => [5,1]
[[1,3,3,4,4],[4]] => [5,1]
[[1,3,4,4,4],[3]] => [5,1]
[[1,3,4,4,4],[4]] => [5,1]
[[1,4,4,4,4],[3]] => [5,1]
[[1,4,4,4,4],[4]] => [5,1]
[[2,2,2,2,2],[4]] => [5,1]
[[2,2,2,2,3],[4]] => [5,1]
[[2,2,2,2,4],[3]] => [5,1]
[[2,2,2,2,4],[4]] => [5,1]
[[2,2,2,3,3],[4]] => [5,1]
[[2,2,2,3,4],[3]] => [5,1]
[[2,2,2,3,4],[4]] => [5,1]
[[2,2,2,4,4],[3]] => [5,1]
[[2,2,2,4,4],[4]] => [5,1]
[[2,2,3,3,3],[4]] => [5,1]
[[2,2,3,3,4],[3]] => [5,1]
[[2,2,3,3,4],[4]] => [5,1]
[[2,2,3,4,4],[3]] => [5,1]
[[2,2,3,4,4],[4]] => [5,1]
[[2,2,4,4,4],[3]] => [5,1]
[[2,2,4,4,4],[4]] => [5,1]
[[2,3,3,3,3],[4]] => [5,1]
[[2,3,3,3,4],[3]] => [5,1]
[[2,3,3,3,4],[4]] => [5,1]
[[2,3,3,4,4],[3]] => [5,1]
[[2,3,3,4,4],[4]] => [5,1]
[[2,3,4,4,4],[3]] => [5,1]
[[2,3,4,4,4],[4]] => [5,1]
[[2,4,4,4,4],[3]] => [5,1]
[[2,4,4,4,4],[4]] => [5,1]
[[3,3,3,3,3],[4]] => [5,1]
[[3,3,3,3,4],[4]] => [5,1]
[[3,3,3,4,4],[4]] => [5,1]
[[3,3,4,4,4],[4]] => [5,1]
[[3,4,4,4,4],[4]] => [5,1]
[[1,1,1,1],[2,4]] => [4,2]
[[1,1,1,1],[3,4]] => [4,2]
[[1,1,1,1],[4,4]] => [4,2]
[[1,1,1,2],[2,4]] => [4,2]
[[1,1,1,4],[2,2]] => [4,2]
[[1,1,1,2],[3,4]] => [4,2]
[[1,1,1,3],[2,4]] => [4,2]
[[1,1,1,4],[2,3]] => [4,2]
[[1,1,1,2],[4,4]] => [4,2]
[[1,1,1,4],[2,4]] => [4,2]
[[1,1,1,3],[3,4]] => [4,2]
[[1,1,1,4],[3,3]] => [4,2]
[[1,1,1,3],[4,4]] => [4,2]
[[1,1,1,4],[3,4]] => [4,2]
[[1,1,1,4],[4,4]] => [4,2]
[[1,1,2,2],[2,4]] => [4,2]
[[1,1,2,4],[2,2]] => [4,2]
[[1,1,2,2],[3,4]] => [4,2]
[[1,1,2,3],[2,4]] => [4,2]
[[1,1,2,4],[2,3]] => [4,2]
[[1,1,3,4],[2,2]] => [4,2]
[[1,1,2,2],[4,4]] => [4,2]
[[1,1,2,4],[2,4]] => [4,2]
[[1,1,4,4],[2,2]] => [4,2]
[[1,1,2,3],[3,4]] => [4,2]
[[1,1,2,4],[3,3]] => [4,2]
[[1,1,3,3],[2,4]] => [4,2]
[[1,1,3,4],[2,3]] => [4,2]
[[1,1,2,3],[4,4]] => [4,2]
[[1,1,2,4],[3,4]] => [4,2]
[[1,1,3,4],[2,4]] => [4,2]
[[1,1,4,4],[2,3]] => [4,2]
[[1,1,2,4],[4,4]] => [4,2]
[[1,1,4,4],[2,4]] => [4,2]
[[1,1,3,3],[3,4]] => [4,2]
[[1,1,3,4],[3,3]] => [4,2]
[[1,1,3,3],[4,4]] => [4,2]
[[1,1,3,4],[3,4]] => [4,2]
[[1,1,4,4],[3,3]] => [4,2]
[[1,1,3,4],[4,4]] => [4,2]
[[1,1,4,4],[3,4]] => [4,2]
[[1,1,4,4],[4,4]] => [4,2]
[[1,2,2,2],[2,4]] => [4,2]
[[1,2,2,2],[3,4]] => [4,2]
[[1,2,2,3],[2,4]] => [4,2]
[[1,2,2,4],[2,3]] => [4,2]
[[1,2,2,2],[4,4]] => [4,2]
[[1,2,2,4],[2,4]] => [4,2]
[[1,2,2,3],[3,4]] => [4,2]
[[1,2,2,4],[3,3]] => [4,2]
[[1,2,3,3],[2,4]] => [4,2]
[[1,2,3,4],[2,3]] => [4,2]
[[1,2,2,3],[4,4]] => [4,2]
[[1,2,2,4],[3,4]] => [4,2]
[[1,2,3,4],[2,4]] => [4,2]
[[1,2,4,4],[2,3]] => [4,2]
[[1,2,2,4],[4,4]] => [4,2]
[[1,2,4,4],[2,4]] => [4,2]
[[1,2,3,3],[3,4]] => [4,2]
[[1,2,3,4],[3,3]] => [4,2]
[[1,3,3,3],[2,4]] => [4,2]
[[1,2,3,3],[4,4]] => [4,2]
[[1,2,3,4],[3,4]] => [4,2]
[[1,2,4,4],[3,3]] => [4,2]
[[1,3,3,4],[2,4]] => [4,2]
[[1,2,3,4],[4,4]] => [4,2]
[[1,2,4,4],[3,4]] => [4,2]
[[1,3,4,4],[2,4]] => [4,2]
[[1,2,4,4],[4,4]] => [4,2]
[[1,3,3,3],[3,4]] => [4,2]
[[1,3,3,3],[4,4]] => [4,2]
[[1,3,3,4],[3,4]] => [4,2]
[[1,3,3,4],[4,4]] => [4,2]
[[1,3,4,4],[3,4]] => [4,2]
[[1,3,4,4],[4,4]] => [4,2]
[[2,2,2,2],[3,4]] => [4,2]
[[2,2,2,2],[4,4]] => [4,2]
[[2,2,2,3],[3,4]] => [4,2]
[[2,2,2,4],[3,3]] => [4,2]
[[2,2,2,3],[4,4]] => [4,2]
[[2,2,2,4],[3,4]] => [4,2]
[[2,2,2,4],[4,4]] => [4,2]
[[2,2,3,3],[3,4]] => [4,2]
[[2,2,3,4],[3,3]] => [4,2]
[[2,2,3,3],[4,4]] => [4,2]
[[2,2,3,4],[3,4]] => [4,2]
[[2,2,4,4],[3,3]] => [4,2]
[[2,2,3,4],[4,4]] => [4,2]
[[2,2,4,4],[3,4]] => [4,2]
[[2,2,4,4],[4,4]] => [4,2]
[[2,3,3,3],[3,4]] => [4,2]
[[2,3,3,3],[4,4]] => [4,2]
[[2,3,3,4],[3,4]] => [4,2]
[[2,3,3,4],[4,4]] => [4,2]
[[2,3,4,4],[3,4]] => [4,2]
[[2,3,4,4],[4,4]] => [4,2]
[[3,3,3,3],[4,4]] => [4,2]
[[3,3,3,4],[4,4]] => [4,2]
[[3,3,4,4],[4,4]] => [4,2]
[[1,1,1,1],[2],[4]] => [4,1,1]
[[1,1,1,1],[3],[4]] => [4,1,1]
[[1,1,1,2],[2],[4]] => [4,1,1]
[[1,1,1,2],[3],[4]] => [4,1,1]
[[1,1,1,3],[2],[4]] => [4,1,1]
[[1,1,1,4],[2],[3]] => [4,1,1]
[[1,1,1,4],[2],[4]] => [4,1,1]
[[1,1,1,3],[3],[4]] => [4,1,1]
[[1,1,1,4],[3],[4]] => [4,1,1]
[[1,1,2,2],[2],[4]] => [4,1,1]
[[1,1,2,2],[3],[4]] => [4,1,1]
[[1,1,2,3],[2],[4]] => [4,1,1]
[[1,1,2,4],[2],[3]] => [4,1,1]
[[1,1,2,4],[2],[4]] => [4,1,1]
[[1,1,2,3],[3],[4]] => [4,1,1]
[[1,1,3,3],[2],[4]] => [4,1,1]
[[1,1,3,4],[2],[3]] => [4,1,1]
[[1,1,2,4],[3],[4]] => [4,1,1]
[[1,1,3,4],[2],[4]] => [4,1,1]
[[1,1,4,4],[2],[3]] => [4,1,1]
[[1,1,4,4],[2],[4]] => [4,1,1]
[[1,1,3,3],[3],[4]] => [4,1,1]
[[1,1,3,4],[3],[4]] => [4,1,1]
[[1,1,4,4],[3],[4]] => [4,1,1]
[[1,2,2,2],[2],[4]] => [4,1,1]
[[1,2,2,2],[3],[4]] => [4,1,1]
[[1,2,2,3],[2],[4]] => [4,1,1]
[[1,2,2,4],[2],[3]] => [4,1,1]
[[1,2,2,4],[2],[4]] => [4,1,1]
[[1,2,2,3],[3],[4]] => [4,1,1]
[[1,2,3,3],[2],[4]] => [4,1,1]
[[1,2,3,4],[2],[3]] => [4,1,1]
[[1,2,2,4],[3],[4]] => [4,1,1]
[[1,2,3,4],[2],[4]] => [4,1,1]
[[1,2,4,4],[2],[3]] => [4,1,1]
[[1,2,4,4],[2],[4]] => [4,1,1]
[[1,2,3,3],[3],[4]] => [4,1,1]
[[1,3,3,3],[2],[4]] => [4,1,1]
[[1,3,3,4],[2],[3]] => [4,1,1]
[[1,2,3,4],[3],[4]] => [4,1,1]
[[1,3,3,4],[2],[4]] => [4,1,1]
[[1,3,4,4],[2],[3]] => [4,1,1]
[[1,2,4,4],[3],[4]] => [4,1,1]
[[1,3,4,4],[2],[4]] => [4,1,1]
[[1,4,4,4],[2],[3]] => [4,1,1]
[[1,4,4,4],[2],[4]] => [4,1,1]
[[1,3,3,3],[3],[4]] => [4,1,1]
[[1,3,3,4],[3],[4]] => [4,1,1]
[[1,3,4,4],[3],[4]] => [4,1,1]
[[1,4,4,4],[3],[4]] => [4,1,1]
[[2,2,2,2],[3],[4]] => [4,1,1]
[[2,2,2,3],[3],[4]] => [4,1,1]
[[2,2,2,4],[3],[4]] => [4,1,1]
[[2,2,3,3],[3],[4]] => [4,1,1]
[[2,2,3,4],[3],[4]] => [4,1,1]
[[2,2,4,4],[3],[4]] => [4,1,1]
[[2,3,3,3],[3],[4]] => [4,1,1]
[[2,3,3,4],[3],[4]] => [4,1,1]
[[2,3,4,4],[3],[4]] => [4,1,1]
[[2,4,4,4],[3],[4]] => [4,1,1]
[[1,1,1],[2,2,4]] => [3,3]
[[1,1,1],[2,3,4]] => [3,3]
[[1,1,1],[2,4,4]] => [3,3]
[[1,1,1],[3,3,4]] => [3,3]
[[1,1,1],[3,4,4]] => [3,3]
[[1,1,1],[4,4,4]] => [3,3]
[[1,1,2],[2,2,4]] => [3,3]
[[1,1,2],[2,3,4]] => [3,3]
[[1,1,3],[2,2,4]] => [3,3]
[[1,1,2],[2,4,4]] => [3,3]
[[1,1,2],[3,3,4]] => [3,3]
[[1,1,3],[2,3,4]] => [3,3]
[[1,1,2],[3,4,4]] => [3,3]
[[1,1,3],[2,4,4]] => [3,3]
[[1,1,2],[4,4,4]] => [3,3]
[[1,1,3],[3,3,4]] => [3,3]
[[1,1,3],[3,4,4]] => [3,3]
[[1,1,3],[4,4,4]] => [3,3]
[[1,2,2],[2,3,4]] => [3,3]
[[1,2,2],[2,4,4]] => [3,3]
[[1,2,2],[3,3,4]] => [3,3]
[[1,2,3],[2,3,4]] => [3,3]
[[1,2,2],[3,4,4]] => [3,3]
[[1,2,3],[2,4,4]] => [3,3]
[[1,2,2],[4,4,4]] => [3,3]
[[1,2,3],[3,3,4]] => [3,3]
[[1,2,3],[3,4,4]] => [3,3]
[[1,3,3],[2,4,4]] => [3,3]
[[1,2,3],[4,4,4]] => [3,3]
[[1,3,3],[3,4,4]] => [3,3]
[[1,3,3],[4,4,4]] => [3,3]
[[2,2,2],[3,3,4]] => [3,3]
[[2,2,2],[3,4,4]] => [3,3]
[[2,2,2],[4,4,4]] => [3,3]
[[2,2,3],[3,3,4]] => [3,3]
[[2,2,3],[3,4,4]] => [3,3]
[[2,2,3],[4,4,4]] => [3,3]
[[2,3,3],[3,4,4]] => [3,3]
[[2,3,3],[4,4,4]] => [3,3]
[[3,3,3],[4,4,4]] => [3,3]
[[1,1,1],[2,2],[4]] => [3,2,1]
[[1,1,1],[2,3],[4]] => [3,2,1]
[[1,1,1],[2,4],[3]] => [3,2,1]
[[1,1,1],[2,4],[4]] => [3,2,1]
[[1,1,1],[3,3],[4]] => [3,2,1]
[[1,1,1],[3,4],[4]] => [3,2,1]
[[1,1,2],[2,2],[4]] => [3,2,1]
[[1,1,2],[2,3],[4]] => [3,2,1]
[[1,1,2],[2,4],[3]] => [3,2,1]
[[1,1,3],[2,2],[4]] => [3,2,1]
[[1,1,4],[2,2],[3]] => [3,2,1]
[[1,1,2],[2,4],[4]] => [3,2,1]
[[1,1,4],[2,2],[4]] => [3,2,1]
[[1,1,2],[3,3],[4]] => [3,2,1]
[[1,1,3],[2,3],[4]] => [3,2,1]
[[1,1,3],[2,4],[3]] => [3,2,1]
[[1,1,4],[2,3],[3]] => [3,2,1]
[[1,1,2],[3,4],[4]] => [3,2,1]
[[1,1,3],[2,4],[4]] => [3,2,1]
[[1,1,4],[2,3],[4]] => [3,2,1]
[[1,1,4],[2,4],[3]] => [3,2,1]
[[1,1,4],[2,4],[4]] => [3,2,1]
[[1,1,3],[3,3],[4]] => [3,2,1]
[[1,1,3],[3,4],[4]] => [3,2,1]
[[1,1,4],[3,3],[4]] => [3,2,1]
[[1,1,4],[3,4],[4]] => [3,2,1]
[[1,2,2],[2,3],[4]] => [3,2,1]
[[1,2,2],[2,4],[3]] => [3,2,1]
[[1,2,2],[2,4],[4]] => [3,2,1]
[[1,2,2],[3,3],[4]] => [3,2,1]
[[1,2,3],[2,3],[4]] => [3,2,1]
[[1,2,3],[2,4],[3]] => [3,2,1]
[[1,2,4],[2,3],[3]] => [3,2,1]
[[1,2,2],[3,4],[4]] => [3,2,1]
[[1,2,3],[2,4],[4]] => [3,2,1]
[[1,2,4],[2,3],[4]] => [3,2,1]
[[1,2,4],[2,4],[3]] => [3,2,1]
[[1,2,4],[2,4],[4]] => [3,2,1]
[[1,2,3],[3,3],[4]] => [3,2,1]
[[1,3,3],[2,4],[3]] => [3,2,1]
[[1,2,3],[3,4],[4]] => [3,2,1]
[[1,2,4],[3,3],[4]] => [3,2,1]
[[1,3,3],[2,4],[4]] => [3,2,1]
[[1,3,4],[2,4],[3]] => [3,2,1]
[[1,2,4],[3,4],[4]] => [3,2,1]
[[1,3,4],[2,4],[4]] => [3,2,1]
[[1,3,3],[3,4],[4]] => [3,2,1]
[[1,3,4],[3,4],[4]] => [3,2,1]
[[2,2,2],[3,3],[4]] => [3,2,1]
[[2,2,2],[3,4],[4]] => [3,2,1]
[[2,2,3],[3,3],[4]] => [3,2,1]
[[2,2,3],[3,4],[4]] => [3,2,1]
[[2,2,4],[3,3],[4]] => [3,2,1]
[[2,2,4],[3,4],[4]] => [3,2,1]
[[2,3,3],[3,4],[4]] => [3,2,1]
[[2,3,4],[3,4],[4]] => [3,2,1]
[[1,1,1],[2],[3],[4]] => [3,1,1,1]
[[1,1,2],[2],[3],[4]] => [3,1,1,1]
[[1,1,3],[2],[3],[4]] => [3,1,1,1]
[[1,1,4],[2],[3],[4]] => [3,1,1,1]
[[1,2,2],[2],[3],[4]] => [3,1,1,1]
[[1,2,3],[2],[3],[4]] => [3,1,1,1]
[[1,2,4],[2],[3],[4]] => [3,1,1,1]
[[1,3,3],[2],[3],[4]] => [3,1,1,1]
[[1,3,4],[2],[3],[4]] => [3,1,1,1]
[[1,4,4],[2],[3],[4]] => [3,1,1,1]
[[1,1],[2,2],[3,4]] => [2,2,2]
[[1,1],[2,2],[4,4]] => [2,2,2]
[[1,1],[2,3],[3,4]] => [2,2,2]
[[1,1],[2,3],[4,4]] => [2,2,2]
[[1,1],[3,3],[4,4]] => [2,2,2]
[[1,2],[2,3],[3,4]] => [2,2,2]
[[1,2],[2,3],[4,4]] => [2,2,2]
[[1,2],[3,3],[4,4]] => [2,2,2]
[[2,2],[3,3],[4,4]] => [2,2,2]
[[1,1],[2,2],[3],[4]] => [2,2,1,1]
[[1,1],[2,3],[3],[4]] => [2,2,1,1]
[[1,1],[2,4],[3],[4]] => [2,2,1,1]
[[1,2],[2,3],[3],[4]] => [2,2,1,1]
[[1,2],[2,4],[3],[4]] => [2,2,1,1]
[[1,3],[2,4],[3],[4]] => [2,2,1,1]
[[1,2,3,4,5,6]] => [6]
[[1,2,3,4,5],[6]] => [5,1]
[[1,2,3,4,6],[5]] => [5,1]
[[1,2,3,4],[5],[6]] => [4,1,1]
[[1,2,3,5,6],[4]] => [5,1]
[[1,2,3,5],[4,6]] => [4,2]
[[1,2,3,5],[4],[6]] => [4,1,1]
[[1,2,3,4],[5,6]] => [4,2]
[[1,2,3,6],[4],[5]] => [4,1,1]
[[1,2,3],[4],[5],[6]] => [3,1,1,1]
[[1,2,4,5,6],[3]] => [5,1]
[[1,2,4,5],[3,6]] => [4,2]
[[1,2,4,6],[3,5]] => [4,2]
[[1,2,4],[3,5],[6]] => [3,2,1]
[[1,2,4,5],[3],[6]] => [4,1,1]
[[1,2,4,6],[3],[5]] => [4,1,1]
[[1,2,4],[3],[5],[6]] => [3,1,1,1]
[[1,2,3,6],[4,5]] => [4,2]
[[1,2,3],[4,5],[6]] => [3,2,1]
[[1,2,5,6],[3],[4]] => [4,1,1]
[[1,2,5],[3,6],[4]] => [3,2,1]
[[1,2,5],[3],[4],[6]] => [3,1,1,1]
[[1,2,3],[4,6],[5]] => [3,2,1]
[[1,2,4],[3,6],[5]] => [3,2,1]
[[1,2,6],[3],[4],[5]] => [3,1,1,1]
[[1,2],[3],[4],[5],[6]] => [2,1,1,1,1]
[[1,3,4,5,6],[2]] => [5,1]
[[1,3,4,5],[2,6]] => [4,2]
[[1,3,4,6],[2,5]] => [4,2]
[[1,3,4],[2,5],[6]] => [3,2,1]
[[1,3,5,6],[2,4]] => [4,2]
[[1,3,5],[2,4,6]] => [3,3]
[[1,3,5],[2,4],[6]] => [3,2,1]
[[1,3,4],[2,5,6]] => [3,3]
[[1,3,6],[2,4],[5]] => [3,2,1]
[[1,3],[2,4],[5],[6]] => [2,2,1,1]
[[1,3,4,5],[2],[6]] => [4,1,1]
[[1,3,4,6],[2],[5]] => [4,1,1]
[[1,3,4],[2],[5],[6]] => [3,1,1,1]
[[1,3,5,6],[2],[4]] => [4,1,1]
[[1,3,5],[2,6],[4]] => [3,2,1]
[[1,3,5],[2],[4],[6]] => [3,1,1,1]
[[1,3,4],[2,6],[5]] => [3,2,1]
[[1,3,6],[2],[4],[5]] => [3,1,1,1]
[[1,3],[2],[4],[5],[6]] => [2,1,1,1,1]
[[1,2,5,6],[3,4]] => [4,2]
[[1,2,5],[3,4,6]] => [3,3]
[[1,2,5],[3,4],[6]] => [3,2,1]
[[1,2,4],[3,5,6]] => [3,3]
[[1,2,6],[3,4],[5]] => [3,2,1]
[[1,2],[3,4],[5],[6]] => [2,2,1,1]
[[1,4,5,6],[2],[3]] => [4,1,1]
[[1,4,5],[2,6],[3]] => [3,2,1]
[[1,4,6],[2,5],[3]] => [3,2,1]
[[1,4],[2,5],[3,6]] => [2,2,2]
[[1,4],[2,5],[3],[6]] => [2,2,1,1]
[[1,4,5],[2],[3],[6]] => [3,1,1,1]
[[1,4,6],[2],[3],[5]] => [3,1,1,1]
[[1,4],[2],[3],[5],[6]] => [2,1,1,1,1]
[[1,2,3],[4,5,6]] => [3,3]
[[1,2,6],[3,5],[4]] => [3,2,1]
[[1,2],[3,5],[4],[6]] => [2,2,1,1]
[[1,3,6],[2,5],[4]] => [3,2,1]
[[1,3],[2,5],[4,6]] => [2,2,2]
[[1,3],[2,5],[4],[6]] => [2,2,1,1]
[[1,2],[3,5],[4,6]] => [2,2,2]
[[1,5,6],[2],[3],[4]] => [3,1,1,1]
[[1,5],[2,6],[3],[4]] => [2,2,1,1]
[[1,5],[2],[3],[4],[6]] => [2,1,1,1,1]
[[1,2],[3,6],[4],[5]] => [2,2,1,1]
[[1,3],[2,4],[5,6]] => [2,2,2]
[[1,3],[2,6],[4],[5]] => [2,2,1,1]
[[1,2],[3,4],[5,6]] => [2,2,2]
[[1,4],[2,6],[3],[5]] => [2,2,1,1]
[[1,6],[2],[3],[4],[5]] => [2,1,1,1,1]
[[1],[2],[3],[4],[5],[6]] => [1,1,1,1,1,1]
[[1,1,1,1,1,1,2]] => [7]
[[1,1,1,1,1,2,2]] => [7]
[[1,1,1,1,2,2,2]] => [7]
[[1,1,1,2,2,2,2]] => [7]
[[1,1,2,2,2,2,2]] => [7]
[[1,2,2,2,2,2,2]] => [7]
[[2,2,2,2,2,2,2]] => [7]
[[1,1,1,1,1,1],[2]] => [6,1]
[[1,1,1,1,1,2],[2]] => [6,1]
[[1,1,1,1,2,2],[2]] => [6,1]
[[1,1,1,2,2,2],[2]] => [6,1]
[[1,1,2,2,2,2],[2]] => [6,1]
[[1,2,2,2,2,2],[2]] => [6,1]
[[1,1,1,1,1],[2,2]] => [5,2]
[[1,1,1,1,2],[2,2]] => [5,2]
[[1,1,1,2,2],[2,2]] => [5,2]
[[1,1,2,2,2],[2,2]] => [5,2]
[[1,1,1,1],[2,2,2]] => [4,3]
[[1,1,1,2],[2,2,2]] => [4,3]
[[1,1,1,1,1,1,3]] => [7]
[[1,1,1,1,1,2,3]] => [7]
[[1,1,1,1,1,3,3]] => [7]
[[1,1,1,1,2,2,3]] => [7]
[[1,1,1,1,2,3,3]] => [7]
[[1,1,1,1,3,3,3]] => [7]
[[1,1,1,2,2,2,3]] => [7]
[[1,1,1,2,2,3,3]] => [7]
[[1,1,1,2,3,3,3]] => [7]
[[1,1,1,3,3,3,3]] => [7]
[[1,1,2,2,2,2,3]] => [7]
[[1,1,2,2,2,3,3]] => [7]
[[1,1,2,2,3,3,3]] => [7]
[[1,1,2,3,3,3,3]] => [7]
[[1,1,3,3,3,3,3]] => [7]
[[1,2,2,2,2,2,3]] => [7]
[[1,2,2,2,2,3,3]] => [7]
[[1,2,2,2,3,3,3]] => [7]
[[1,2,2,3,3,3,3]] => [7]
[[1,2,3,3,3,3,3]] => [7]
[[1,3,3,3,3,3,3]] => [7]
[[2,2,2,2,2,2,3]] => [7]
[[2,2,2,2,2,3,3]] => [7]
[[2,2,2,2,3,3,3]] => [7]
[[2,2,2,3,3,3,3]] => [7]
[[2,2,3,3,3,3,3]] => [7]
[[2,3,3,3,3,3,3]] => [7]
[[3,3,3,3,3,3,3]] => [7]
[[1,1,1,1,1,1],[3]] => [6,1]
[[1,1,1,1,1,2],[3]] => [6,1]
[[1,1,1,1,1,3],[2]] => [6,1]
[[1,1,1,1,1,3],[3]] => [6,1]
[[1,1,1,1,2,2],[3]] => [6,1]
[[1,1,1,1,2,3],[2]] => [6,1]
[[1,1,1,1,2,3],[3]] => [6,1]
[[1,1,1,1,3,3],[2]] => [6,1]
[[1,1,1,1,3,3],[3]] => [6,1]
[[1,1,1,2,2,2],[3]] => [6,1]
[[1,1,1,2,2,3],[2]] => [6,1]
[[1,1,1,2,2,3],[3]] => [6,1]
[[1,1,1,2,3,3],[2]] => [6,1]
[[1,1,1,2,3,3],[3]] => [6,1]
[[1,1,1,3,3,3],[2]] => [6,1]
[[1,1,1,3,3,3],[3]] => [6,1]
[[1,1,2,2,2,2],[3]] => [6,1]
[[1,1,2,2,2,3],[2]] => [6,1]
[[1,1,2,2,2,3],[3]] => [6,1]
[[1,1,2,2,3,3],[2]] => [6,1]
[[1,1,2,2,3,3],[3]] => [6,1]
[[1,1,2,3,3,3],[2]] => [6,1]
[[1,1,2,3,3,3],[3]] => [6,1]
[[1,1,3,3,3,3],[2]] => [6,1]
[[1,1,3,3,3,3],[3]] => [6,1]
[[1,2,2,2,2,2],[3]] => [6,1]
[[1,2,2,2,2,3],[2]] => [6,1]
[[1,2,2,2,2,3],[3]] => [6,1]
[[1,2,2,2,3,3],[2]] => [6,1]
[[1,2,2,2,3,3],[3]] => [6,1]
[[1,2,2,3,3,3],[2]] => [6,1]
[[1,2,2,3,3,3],[3]] => [6,1]
[[1,2,3,3,3,3],[2]] => [6,1]
[[1,2,3,3,3,3],[3]] => [6,1]
[[1,3,3,3,3,3],[2]] => [6,1]
[[1,3,3,3,3,3],[3]] => [6,1]
[[2,2,2,2,2,2],[3]] => [6,1]
[[2,2,2,2,2,3],[3]] => [6,1]
[[2,2,2,2,3,3],[3]] => [6,1]
[[2,2,2,3,3,3],[3]] => [6,1]
[[2,2,3,3,3,3],[3]] => [6,1]
[[2,3,3,3,3,3],[3]] => [6,1]
[[1,1,1,1,1],[2,3]] => [5,2]
[[1,1,1,1,1],[3,3]] => [5,2]
[[1,1,1,1,2],[2,3]] => [5,2]
[[1,1,1,1,3],[2,2]] => [5,2]
[[1,1,1,1,2],[3,3]] => [5,2]
[[1,1,1,1,3],[2,3]] => [5,2]
[[1,1,1,1,3],[3,3]] => [5,2]
[[1,1,1,2,2],[2,3]] => [5,2]
[[1,1,1,2,3],[2,2]] => [5,2]
[[1,1,1,2,2],[3,3]] => [5,2]
[[1,1,1,2,3],[2,3]] => [5,2]
[[1,1,1,3,3],[2,2]] => [5,2]
[[1,1,1,2,3],[3,3]] => [5,2]
[[1,1,1,3,3],[2,3]] => [5,2]
[[1,1,1,3,3],[3,3]] => [5,2]
[[1,1,2,2,2],[2,3]] => [5,2]
[[1,1,2,2,3],[2,2]] => [5,2]
[[1,1,2,2,2],[3,3]] => [5,2]
[[1,1,2,2,3],[2,3]] => [5,2]
[[1,1,2,3,3],[2,2]] => [5,2]
[[1,1,2,2,3],[3,3]] => [5,2]
[[1,1,2,3,3],[2,3]] => [5,2]
[[1,1,3,3,3],[2,2]] => [5,2]
[[1,1,2,3,3],[3,3]] => [5,2]
[[1,1,3,3,3],[2,3]] => [5,2]
[[1,1,3,3,3],[3,3]] => [5,2]
[[1,2,2,2,2],[2,3]] => [5,2]
[[1,2,2,2,2],[3,3]] => [5,2]
[[1,2,2,2,3],[2,3]] => [5,2]
[[1,2,2,2,3],[3,3]] => [5,2]
[[1,2,2,3,3],[2,3]] => [5,2]
[[1,2,2,3,3],[3,3]] => [5,2]
[[1,2,3,3,3],[2,3]] => [5,2]
[[1,2,3,3,3],[3,3]] => [5,2]
[[2,2,2,2,2],[3,3]] => [5,2]
[[2,2,2,2,3],[3,3]] => [5,2]
[[2,2,2,3,3],[3,3]] => [5,2]
[[2,2,3,3,3],[3,3]] => [5,2]
[[1,1,1,1,1],[2],[3]] => [5,1,1]
[[1,1,1,1,2],[2],[3]] => [5,1,1]
[[1,1,1,1,3],[2],[3]] => [5,1,1]
[[1,1,1,2,2],[2],[3]] => [5,1,1]
[[1,1,1,2,3],[2],[3]] => [5,1,1]
[[1,1,1,3,3],[2],[3]] => [5,1,1]
[[1,1,2,2,2],[2],[3]] => [5,1,1]
[[1,1,2,2,3],[2],[3]] => [5,1,1]
[[1,1,2,3,3],[2],[3]] => [5,1,1]
[[1,1,3,3,3],[2],[3]] => [5,1,1]
[[1,2,2,2,2],[2],[3]] => [5,1,1]
[[1,2,2,2,3],[2],[3]] => [5,1,1]
[[1,2,2,3,3],[2],[3]] => [5,1,1]
[[1,2,3,3,3],[2],[3]] => [5,1,1]
[[1,3,3,3,3],[2],[3]] => [5,1,1]
[[1,1,1,1],[2,2,3]] => [4,3]
[[1,1,1,1],[2,3,3]] => [4,3]
[[1,1,1,1],[3,3,3]] => [4,3]
[[1,1,1,2],[2,2,3]] => [4,3]
[[1,1,1,3],[2,2,2]] => [4,3]
[[1,1,1,2],[2,3,3]] => [4,3]
[[1,1,1,3],[2,2,3]] => [4,3]
[[1,1,1,2],[3,3,3]] => [4,3]
[[1,1,1,3],[2,3,3]] => [4,3]
[[1,1,1,3],[3,3,3]] => [4,3]
[[1,1,2,2],[2,2,3]] => [4,3]
[[1,1,2,2],[2,3,3]] => [4,3]
[[1,1,2,3],[2,2,3]] => [4,3]
[[1,1,2,2],[3,3,3]] => [4,3]
[[1,1,2,3],[2,3,3]] => [4,3]
[[1,1,2,3],[3,3,3]] => [4,3]
[[1,2,2,2],[2,3,3]] => [4,3]
[[1,2,2,2],[3,3,3]] => [4,3]
[[1,2,2,3],[2,3,3]] => [4,3]
[[1,2,2,3],[3,3,3]] => [4,3]
[[2,2,2,2],[3,3,3]] => [4,3]
[[2,2,2,3],[3,3,3]] => [4,3]
[[1,1,1,1],[2,2],[3]] => [4,2,1]
[[1,1,1,1],[2,3],[3]] => [4,2,1]
[[1,1,1,2],[2,2],[3]] => [4,2,1]
[[1,1,1,2],[2,3],[3]] => [4,2,1]
[[1,1,1,3],[2,2],[3]] => [4,2,1]
[[1,1,1,3],[2,3],[3]] => [4,2,1]
[[1,1,2,2],[2,2],[3]] => [4,2,1]
[[1,1,2,2],[2,3],[3]] => [4,2,1]
[[1,1,2,3],[2,2],[3]] => [4,2,1]
[[1,1,2,3],[2,3],[3]] => [4,2,1]
[[1,1,3,3],[2,2],[3]] => [4,2,1]
[[1,1,3,3],[2,3],[3]] => [4,2,1]
[[1,2,2,2],[2,3],[3]] => [4,2,1]
[[1,2,2,3],[2,3],[3]] => [4,2,1]
[[1,2,3,3],[2,3],[3]] => [4,2,1]
[[1,1,1],[2,2,2],[3]] => [3,3,1]
[[1,1,1],[2,2,3],[3]] => [3,3,1]
[[1,1,1],[2,3,3],[3]] => [3,3,1]
[[1,1,2],[2,2,3],[3]] => [3,3,1]
[[1,1,2],[2,3,3],[3]] => [3,3,1]
[[1,2,2],[2,3,3],[3]] => [3,3,1]
[[1,1,1],[2,2],[3,3]] => [3,2,2]
[[1,1,2],[2,2],[3,3]] => [3,2,2]
[[1,1,3],[2,2],[3,3]] => [3,2,2]
[[1,1,1,1,1,1,1,2]] => [8]
[[1,1,1,1,1,1,2,2]] => [8]
[[1,1,1,1,1,2,2,2]] => [8]
[[1,1,1,1,2,2,2,2]] => [8]
[[1,1,1,2,2,2,2,2]] => [8]
[[1,1,2,2,2,2,2,2]] => [8]
[[1,2,2,2,2,2,2,2]] => [8]
[[2,2,2,2,2,2,2,2]] => [8]
[[1,1,1,1,1,1,1],[2]] => [7,1]
[[1,1,1,1,1,1,2],[2]] => [7,1]
[[1,1,1,1,1,2,2],[2]] => [7,1]
[[1,1,1,1,2,2,2],[2]] => [7,1]
[[1,1,1,2,2,2,2],[2]] => [7,1]
[[1,1,2,2,2,2,2],[2]] => [7,1]
[[1,2,2,2,2,2,2],[2]] => [7,1]
[[1,1,1,1,1,1],[2,2]] => [6,2]
[[1,1,1,1,1,2],[2,2]] => [6,2]
[[1,1,1,1,2,2],[2,2]] => [6,2]
[[1,1,1,2,2,2],[2,2]] => [6,2]
[[1,1,2,2,2,2],[2,2]] => [6,2]
[[1,1,1,1,1],[2,2,2]] => [5,3]
[[1,1,1,1,2],[2,2,2]] => [5,3]
[[1,1,1,2,2],[2,2,2]] => [5,3]
[[1,1,1,1],[2,2,2,2]] => [4,4]
[[1,1,1,1],[2,2,2],[3,3],[4]] => [4,3,2,1]
[[1,1,1,2],[2,2,2],[3,3],[4]] => [4,3,2,1]
[[1,1,1,1],[2,2,3],[3,3],[4]] => [4,3,2,1]
[[1,1,1,2],[2,2,3],[3,3],[4]] => [4,3,2,1]
[[1,1,1,3],[2,2,3],[3,3],[4]] => [4,3,2,1]
[[1,1,2,2],[2,2,3],[3,3],[4]] => [4,3,2,1]
[[1,1,2,3],[2,2,3],[3,3],[4]] => [4,3,2,1]
[[1,1,1,1],[2,2,2],[3,4],[4]] => [4,3,2,1]
[[1,1,1,2],[2,2,2],[3,4],[4]] => [4,3,2,1]
[[1,1,1,1],[2,2,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,2],[2,2,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,3],[2,2,3],[3,4],[4]] => [4,3,2,1]
[[1,1,2,2],[2,2,3],[3,4],[4]] => [4,3,2,1]
[[1,1,2,3],[2,2,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,1],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,2],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,3],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,4],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,2],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,3],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,4],[2,2,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,1],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,2],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,3],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,1,2,2],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,1,2,3],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,1,1,1],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,2],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,3],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,4],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,2],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,3],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,2,4],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,2,2,2],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,2,2,3],[2,3,3],[3,4],[4]] => [4,3,2,1]
[[1,2,2,2],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,2,2,3],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,2,2,4],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,2,3,3],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,2,3,4],[2,3,4],[3,4],[4]] => [4,3,2,1]
[[1,1,1,1,2,2,2],[3,3],[4]] => [7,2,1]
[[1,1,1,2,2,2,2],[3,3],[4]] => [7,2,1]
[[1,1,1,1,2,2,3],[3,3],[4]] => [7,2,1]
[[1,1,1,2,2,2,3],[3,3],[4]] => [7,2,1]
[[1,1,1,2,2,3,3],[3,3],[4]] => [7,2,1]
[[1,1,2,2,2,2,3],[3,3],[4]] => [7,2,1]
[[1,1,2,2,2,3,3],[3,3],[4]] => [7,2,1]
[[1,1,1,1,2,2,2],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,2,2],[3,4],[4]] => [7,2,1]
[[1,1,1,1,2,2,3],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,2,3],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,3],[3,3,4],[4]] => [6,3,1]
[[1,1,2,2,2,2,3],[3,4],[4]] => [7,2,1]
[[1,1,2,2,2,3],[3,3,4],[4]] => [6,3,1]
[[1,1,1,1,2,2,4],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,2,4],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,4,4],[3,3],[4]] => [7,2,1]
[[1,1,1,2,2,4,4],[3,4],[4]] => [7,2,1]
[[1,1,2,2,2,2,4],[3,4],[4]] => [7,2,1]
[[1,1,2,2,2,4,4],[3,3],[4]] => [7,2,1]
[[1,1,2,2,2,4,4],[3,4],[4]] => [7,2,1]
[[1,1,1,1,2,3,3],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,3,3],[3,4],[4]] => [7,2,1]
[[1,1,1,2,3,3,3],[3,4],[4]] => [7,2,1]
[[1,1,2,2,2,3,3],[3,4],[4]] => [7,2,1]
[[1,1,2,2,3,3,3],[3,4],[4]] => [7,2,1]
[[1,1,1,1,2,3,4],[3,4],[4]] => [7,2,1]
[[1,1,1,2,2,3,4],[3,4],[4]] => [7,2,1]
[[1,1,1,2,3,3,4],[3,4],[4]] => [7,2,1]
[[1,1,1,2,3,4,4],[3,4],[4]] => [7,2,1]
[[1,1,2,2,2,3,4],[3,4],[4]] => [7,2,1]
[[1,1,2,2,3,3,4],[3,4],[4]] => [7,2,1]
[[1,1,2,2,3,4,4],[3,4],[4]] => [7,2,1]
[[1,1,2,3,3,3,4],[3,4],[4]] => [7,2,1]
[[1,1,2,3,3,4,4],[3,4],[4]] => [7,2,1]
[[1,2,2,2,2,3,3],[3,4],[4]] => [7,2,1]
[[1,2,2,2,3,3,3],[3,4],[4]] => [7,2,1]
[[1,2,2,2,2,3,4],[3,4],[4]] => [7,2,1]
[[1,2,2,2,3,3,4],[3,4],[4]] => [7,2,1]
[[1,2,2,2,3,4,4],[3,4],[4]] => [7,2,1]
[[1,2,2,3,3,3,4],[3,4],[4]] => [7,2,1]
[[1,2,2,3,3,4,4],[3,4],[4]] => [7,2,1]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Absorbing relations
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00210promotion = Mp00077shape ∘ Mp00036to semistandard tableau : Gelfand-Tsetlin patterns ⟶ Integer partitions
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00211inverse promotion = Mp00077shape ∘ Mp00036to semistandard tableau : Gelfand-Tsetlin patterns ⟶ Integer partitions
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00213cycle = Mp00077shape ∘ Mp00036to semistandard tableau : Gelfand-Tsetlin patterns ⟶ Integer partitions
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00212inverse cycle = Mp00077shape ∘ Mp00036to semistandard tableau : Gelfand-Tsetlin patterns ⟶ Integer partitions
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00078Schuetzenberger involution = Mp00077shape ∘ Mp00036to semistandard tableau : Gelfand-Tsetlin patterns ⟶ Integer partitions
Constant maps
Mp00077shape ∘ Mp00001to semistandard tableau via monotone triangles = const : Alternating sign matrices ⟶ Integer partitions
Other relations
Mp00060Robinson-Schensted tableau shape ∘ Mp00075reading word permutation = Mp00077shape : Semistandard tableaux ⟶ Integer partitions
Mp00045reading tableau ∘ Mp00077shape = Mp00070Robinson-Schensted recording tableau ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Standard tableaux
Mp00204LLPS ∘ Mp00064reverse ∘ Mp00075reading word permutation = Mp00077shape : Semistandard tableaux ⟶ Integer partitions
Mp00084conjugate ∘ Mp00042initial tableau ∘ Mp00077shape = Mp00070Robinson-Schensted recording tableau ∘ Mp00064reverse ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Standard tableaux
Mp00077shape ∘ Mp00302insertion tableau = Mp00060Robinson-Schensted tableau shape ∘ Mp00055to labelling permutation : Parking functions ⟶ Integer partitions
Mp00077shape ∘ Mp00036to semistandard tableau ∘ Mp00082to Gelfand-Tsetlin pattern = Mp00083shape : Standard tableaux ⟶ Integer partitions
Mp00040to partition ∘ Mp00071descent composition ∘ Mp00075reading word permutation = Mp00077shape : Semistandard tableaux ⟶ Integer partitions
Mp00207horizontal strip sizes ∘ Mp00042initial tableau ∘ Mp00077shape = Mp00038reverse ∘ Mp00071descent composition ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Integer compositions
Mp00085Schützenberger involution ∘ Mp00070Robinson-Schensted recording tableau ∘ Mp00075reading word permutation = Mp00042initial tableau ∘ Mp00077shape : Semistandard tableaux ⟶ Standard tableaux
Mp00134descent word ∘ Mp00042initial tableau ∘ Mp00077shape = Mp00104reverse ∘ Mp00109descent word ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Binary words
Mp00108cycle type ∘ Mp00086first fundamental transformation ∘ Mp00069complement ∘ Mp00075reading word permutation = Mp00077shape : Semistandard tableaux ⟶ Integer partitions
Mp00060Robinson-Schensted tableau shape ∘ Mp00067Foata bijection ∘ Mp00062Lehmer-code to major-code bijection ∘ Mp00075reading word permutation = Mp00077shape : Semistandard tableaux ⟶ Integer partitions
Mp00071descent composition ∘ Mp00081reading word permutation ∘ Mp00042initial tableau ∘ Mp00077shape = Mp00071descent composition ∘ Mp00075reading word permutation : Semistandard tableaux ⟶ Integer compositions
Mp00096Foata bijection ∘ Mp00317odd parts ∘ Mp00077shape = Mp00316inverse Foata bijection ∘ Mp00317odd parts ∘ Mp00077shape : Semistandard tableaux ⟶ Binary words
Description
Return the shape of a tableau.
Properties
surjective, graded
Sage code
def mapping(elt):
return Partition([len(row) for row in elt])
Weight
26
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey
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