edit this map or download as text // json
Identifier
Mp00076: Semistandard tableaux to Gelfand-Tsetlin pattern Gelfand-Tsetlin patterns
Images
[[1]] => [[1]]
[[2]] => [[1,0],[0]]
[[3]] => [[1,0,0],[0,0],[0]]
[[4]] => [[1,0,0,0],[0,0,0],[0,0],[0]]
[[5]] => [[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6]] => [[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1]] => [[2]]
[[1,2]] => [[2,0],[1]]
[[2,2]] => [[2,0],[0]]
[[1],[2]] => [[1,1],[1]]
[[1,3]] => [[2,0,0],[1,0],[1]]
[[2,3]] => [[2,0,0],[1,0],[0]]
[[3,3]] => [[2,0,0],[0,0],[0]]
[[1],[3]] => [[1,1,0],[1,0],[1]]
[[2],[3]] => [[1,1,0],[1,0],[0]]
[[1,4]] => [[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,4]] => [[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,4]] => [[2,0,0,0],[1,0,0],[0,0],[0]]
[[4,4]] => [[2,0,0,0],[0,0,0],[0,0],[0]]
[[1],[4]] => [[1,1,0,0],[1,0,0],[1,0],[1]]
[[2],[4]] => [[1,1,0,0],[1,0,0],[1,0],[0]]
[[3],[4]] => [[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,5]] => [[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,5]] => [[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,5]] => [[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,5]] => [[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5]] => [[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[5]] => [[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[5]] => [[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[5]] => [[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[5]] => [[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,6]] => [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,6]] => [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,6]] => [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,6]] => [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,6]] => [[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,6]] => [[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[6]] => [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[6]] => [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[6]] => [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[6]] => [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5],[6]] => [[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,7]] => [[2,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[7,7]] => [[2,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6],[7]] => [[1,1,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[7,8]] => [[2,0,0,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[8,8]] => [[2,0,0,0,0,0,0,0],[0,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[7],[8]] => [[1,1,0,0,0,0,0,0],[1,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1]] => [[3]]
[[1,1,2]] => [[3,0],[2]]
[[1,2,2]] => [[3,0],[1]]
[[2,2,2]] => [[3,0],[0]]
[[1,1],[2]] => [[2,1],[2]]
[[1,2],[2]] => [[2,1],[1]]
[[1,1,3]] => [[3,0,0],[2,0],[2]]
[[1,2,3]] => [[3,0,0],[2,0],[1]]
[[1,3,3]] => [[3,0,0],[1,0],[1]]
[[2,2,3]] => [[3,0,0],[2,0],[0]]
[[2,3,3]] => [[3,0,0],[1,0],[0]]
[[3,3,3]] => [[3,0,0],[0,0],[0]]
[[1,1],[3]] => [[2,1,0],[2,0],[2]]
[[1,2],[3]] => [[2,1,0],[2,0],[1]]
[[1,3],[2]] => [[2,1,0],[1,1],[1]]
[[1,3],[3]] => [[2,1,0],[1,0],[1]]
[[2,2],[3]] => [[2,1,0],[2,0],[0]]
[[2,3],[3]] => [[2,1,0],[1,0],[0]]
[[1],[2],[3]] => [[1,1,1],[1,1],[1]]
[[1,1,4]] => [[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,4]] => [[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,4]] => [[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4]] => [[3,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,4]] => [[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,4]] => [[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4]] => [[3,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,4]] => [[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4]] => [[3,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4]] => [[3,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[4]] => [[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,2],[4]] => [[2,1,0,0],[2,0,0],[2,0],[1]]
>>> Load all 3420 entries. <<<
[[1,4],[2]] => [[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[4]] => [[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3]] => [[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[4]] => [[2,1,0,0],[1,0,0],[1,0],[1]]
[[2,2],[4]] => [[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,3],[4]] => [[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3]] => [[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[4]] => [[2,1,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4]] => [[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4]] => [[2,1,0,0],[1,0,0],[0,0],[0]]
[[1],[2],[4]] => [[1,1,1,0],[1,1,0],[1,1],[1]]
[[1],[3],[4]] => [[1,1,1,0],[1,1,0],[1,0],[1]]
[[2],[3],[4]] => [[1,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,5]] => [[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5]] => [[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,5]] => [[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5]] => [[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,5]] => [[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,5]] => [[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5]] => [[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,5]] => [[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5]] => [[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,5]] => [[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5],[2]] => [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5],[3]] => [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[5]] => [[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5],[4]] => [[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5],[5]] => [[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5],[3]] => [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[5]] => [[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5],[4]] => [[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5],[5]] => [[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[5]] => [[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[5]] => [[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5],[4]] => [[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5],[5]] => [[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[5]] => [[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[5]] => [[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1],[2],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1],[3],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1],[4],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2],[3],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2],[4],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[3],[4],[5]] => [[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,6]] => [[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,6]] => [[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,6]] => [[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6,6]] => [[3,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,6]] => [[3,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6,6]] => [[3,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,6,6]] => [[3,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,6],[2]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,6],[3]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,6],[4]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6],[5]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6],[6]] => [[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,6],[3]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,6],[4]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6],[5]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6],[6]] => [[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,6],[4]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6],[5]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6],[6]] => [[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6],[5]] => [[2,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6],[6]] => [[2,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5],[6]] => [[2,1,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6],[6]] => [[2,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[2],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1],[3],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1],[4],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1],[5],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[3],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2],[4],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2],[5],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[4],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3],[5],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[5],[6]] => [[1,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,6,7]] => [[3,0,0,0,0,0,0],[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,7,7]] => [[3,0,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[7,7,7]] => [[3,0,0,0,0,0,0],[0,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,7],[2]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,7],[3]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,7],[4]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,7],[5]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,7],[6]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,7],[3]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,7],[4]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,7],[5]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,7],[6]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,7],[4]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,7],[5]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,7],[6]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,7],[5]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,7],[6]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,7],[6]] => [[2,1,0,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,6],[7]] => [[2,1,0,0,0,0,0],[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,7],[7]] => [[2,1,0,0,0,0,0],[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1],[2],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1],[3],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1],[4],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1],[5],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1],[6],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2],[3],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2],[4],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2],[5],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2],[6],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3],[4],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3],[5],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3],[6],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4],[5],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4],[6],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5],[6],[7]] => [[1,1,1,0,0,0,0],[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1,1]] => [[4]]
[[1,1,1,2]] => [[4,0],[3]]
[[1,1,2,2]] => [[4,0],[2]]
[[1,2,2,2]] => [[4,0],[1]]
[[2,2,2,2]] => [[4,0],[0]]
[[1,1,1],[2]] => [[3,1],[3]]
[[1,1,2],[2]] => [[3,1],[2]]
[[1,2,2],[2]] => [[3,1],[1]]
[[1,1],[2,2]] => [[2,2],[2]]
[[1,1,1,3]] => [[4,0,0],[3,0],[3]]
[[1,1,2,3]] => [[4,0,0],[3,0],[2]]
[[1,1,3,3]] => [[4,0,0],[2,0],[2]]
[[1,2,2,3]] => [[4,0,0],[3,0],[1]]
[[1,2,3,3]] => [[4,0,0],[2,0],[1]]
[[1,3,3,3]] => [[4,0,0],[1,0],[1]]
[[2,2,2,3]] => [[4,0,0],[3,0],[0]]
[[2,2,3,3]] => [[4,0,0],[2,0],[0]]
[[2,3,3,3]] => [[4,0,0],[1,0],[0]]
[[3,3,3,3]] => [[4,0,0],[0,0],[0]]
[[1,1,1],[3]] => [[3,1,0],[3,0],[3]]
[[1,1,2],[3]] => [[3,1,0],[3,0],[2]]
[[1,1,3],[2]] => [[3,1,0],[2,1],[2]]
[[1,1,3],[3]] => [[3,1,0],[2,0],[2]]
[[1,2,2],[3]] => [[3,1,0],[3,0],[1]]
[[1,2,3],[2]] => [[3,1,0],[2,1],[1]]
[[1,2,3],[3]] => [[3,1,0],[2,0],[1]]
[[1,3,3],[2]] => [[3,1,0],[1,1],[1]]
[[1,3,3],[3]] => [[3,1,0],[1,0],[1]]
[[2,2,2],[3]] => [[3,1,0],[3,0],[0]]
[[2,2,3],[3]] => [[3,1,0],[2,0],[0]]
[[2,3,3],[3]] => [[3,1,0],[1,0],[0]]
[[1,1],[2,3]] => [[2,2,0],[2,1],[2]]
[[1,1],[3,3]] => [[2,2,0],[2,0],[2]]
[[1,2],[2,3]] => [[2,2,0],[2,1],[1]]
[[1,2],[3,3]] => [[2,2,0],[2,0],[1]]
[[2,2],[3,3]] => [[2,2,0],[2,0],[0]]
[[1,1],[2],[3]] => [[2,1,1],[2,1],[2]]
[[1,2],[2],[3]] => [[2,1,1],[2,1],[1]]
[[1,3],[2],[3]] => [[2,1,1],[1,1],[1]]
[[1,1,1,4]] => [[4,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,4]] => [[4,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4]] => [[4,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,4]] => [[4,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4]] => [[4,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,4]] => [[4,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4]] => [[4,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4]] => [[4,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,4]] => [[4,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,4]] => [[4,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4]] => [[4,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,4]] => [[4,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4]] => [[4,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4]] => [[4,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,4]] => [[4,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4]] => [[4,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4]] => [[4,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,4]] => [[4,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1],[4]] => [[3,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[4]] => [[3,1,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4],[2]] => [[3,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2]] => [[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4],[4]] => [[3,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,4],[2]] => [[3,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3],[4]] => [[3,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4],[3]] => [[3,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[4]] => [[3,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,4],[3]] => [[3,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4],[4]] => [[3,1,0,0],[1,0,0],[1,0],[1]]
[[2,2,2],[4]] => [[3,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[4]] => [[3,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4],[3]] => [[3,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[4]] => [[3,1,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[4]] => [[3,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4],[3]] => [[3,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[4]] => [[3,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,4],[3]] => [[3,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4],[4]] => [[3,1,0,0],[1,0,0],[1,0],[0]]
[[3,3,3],[4]] => [[3,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[4]] => [[3,1,0,0],[2,0,0],[0,0],[0]]
[[3,4,4],[4]] => [[3,1,0,0],[1,0,0],[0,0],[0]]
[[1,1],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4,4]] => [[2,2,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2,4]] => [[2,2,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2,4]] => [[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,2],[4,4]] => [[2,2,0,0],[2,0,0],[2,0],[1]]
[[1,3],[3,4]] => [[2,2,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4,4]] => [[2,2,0,0],[2,0,0],[1,0],[1]]
[[2,2],[3,4]] => [[2,2,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4,4]] => [[2,2,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3,4]] => [[2,2,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4,4]] => [[2,2,0,0],[2,0,0],[1,0],[0]]
[[3,3],[4,4]] => [[2,2,0,0],[2,0,0],[0,0],[0]]
[[1,1],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[2]]
[[1,1],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[2]]
[[1,2],[2],[4]] => [[2,1,1,0],[2,1,0],[2,1],[1]]
[[1,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3],[2],[4]] => [[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,4],[2],[3]] => [[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4],[2],[4]] => [[2,1,1,0],[1,1,0],[1,1],[1]]
[[1,3],[3],[4]] => [[2,1,1,0],[2,1,0],[1,0],[1]]
[[1,4],[3],[4]] => [[2,1,1,0],[1,1,0],[1,0],[1]]
[[2,2],[3],[4]] => [[2,1,1,0],[2,1,0],[2,0],[0]]
[[2,3],[3],[4]] => [[2,1,1,0],[2,1,0],[1,0],[0]]
[[2,4],[3],[4]] => [[2,1,1,0],[1,1,0],[1,0],[0]]
[[1],[2],[3],[4]] => [[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,5]] => [[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5,5]] => [[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5,5]] => [[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,5]] => [[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5,5]] => [[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5,5]] => [[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,5]] => [[4,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,5]] => [[4,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5,5]] => [[4,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,5]] => [[4,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5,5]] => [[4,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5,5]] => [[4,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,5]] => [[4,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5,5]] => [[4,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5,5]] => [[4,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,5,5]] => [[4,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,5],[2]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,5],[2]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,5],[2]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,5],[2]] => [[3,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5,5],[2]] => [[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5,5],[3]] => [[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5],[4]] => [[3,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5,5],[5]] => [[3,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,5],[3]] => [[3,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5,5],[3]] => [[3,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5],[4]] => [[3,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5,5],[5]] => [[3,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3],[5]] => [[3,1,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[4]] => [[3,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5],[4]] => [[3,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5,5],[5]] => [[3,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4],[5]] => [[3,1,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5],[5]] => [[3,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5],[5]] => [[3,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[2,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2,5]] => [[2,2,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3,5]] => [[2,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4,5]] => [[2,2,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[5,5]] => [[2,2,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[2],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,5],[2],[3]] => [[2,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,2],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,5],[2],[4]] => [[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,5],[2],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,5],[3],[4]] => [[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,5],[3],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,5],[4],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2,2],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,5],[3],[4]] => [[2,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[2,5],[3],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,5],[4],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4],[5]] => [[2,1,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,5],[4],[5]] => [[2,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1],[2],[3],[5]] => [[1,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1],[2],[4],[5]] => [[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1],[3],[4],[5]] => [[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[2],[3],[4],[5]] => [[1,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,1,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,6,6]] => [[4,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,6,6]] => [[4,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,6,6]] => [[4,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6,6,6]] => [[4,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,5,6]] => [[4,0,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,6,6]] => [[4,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6,6,6]] => [[4,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[6,6,6,6]] => [[4,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,6],[2]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,6],[2]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,6],[2]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,6],[2]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5,6],[2]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,6,6],[2]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,6,6],[3]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,6],[4]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,6],[5]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6,6],[6]] => [[3,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5,6],[3]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,6,6],[3]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,6],[4]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,6],[5]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6,6],[6]] => [[3,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,6],[4]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,6],[4]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,6],[5]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6,6],[6]] => [[3,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,6],[5]] => [[3,1,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6,6],[5]] => [[3,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6,6],[6]] => [[3,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,5],[6]] => [[3,1,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,6],[6]] => [[3,1,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[5,6,6],[6]] => [[3,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[2,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,1],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5],[2,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,2],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,3],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,4],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,5],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,2],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5],[3,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,3],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,4],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,5],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,3],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5],[4,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,4],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,5],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,4],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[5,6]] => [[2,2,0,0,0,0],[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5],[6,6]] => [[2,2,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1],[2],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,6],[2],[3]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,2],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,6],[2],[4]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,2],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5],[2],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,6],[2],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,6],[2],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,6],[3],[4]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,3],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,6],[3],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,6],[3],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,6],[4],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,6],[4],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[1,6],[5],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,6],[3],[4]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[2,3],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5],[3],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,6],[3],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,6],[3],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,6],[4],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,6],[4],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[2,6],[5],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5],[4],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,6],[4],[5]] => [[2,1,1,0,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,6],[4],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[3,6],[5],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5],[5],[6]] => [[2,1,1,0,0,0],[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[4,6],[5],[6]] => [[2,1,1,0,0,0],[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1],[2],[3],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1],[2],[4],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1],[2],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1],[3],[4],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1],[3],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1],[4],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2],[3],[4],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[2],[3],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2],[4],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[3],[4],[5],[6]] => [[1,1,1,1,0,0],[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,1,1]] => [[5]]
[[1,1,1,1,2]] => [[5,0],[4]]
[[1,1,1,2,2]] => [[5,0],[3]]
[[1,1,2,2,2]] => [[5,0],[2]]
[[1,2,2,2,2]] => [[5,0],[1]]
[[2,2,2,2,2]] => [[5,0],[0]]
[[1,1,1,1],[2]] => [[4,1],[4]]
[[1,1,1,2],[2]] => [[4,1],[3]]
[[1,1,2,2],[2]] => [[4,1],[2]]
[[1,2,2,2],[2]] => [[4,1],[1]]
[[1,1,1],[2,2]] => [[3,2],[3]]
[[1,1,2],[2,2]] => [[3,2],[2]]
[[1,1,1,1,3]] => [[5,0,0],[4,0],[4]]
[[1,1,1,2,3]] => [[5,0,0],[4,0],[3]]
[[1,1,1,3,3]] => [[5,0,0],[3,0],[3]]
[[1,1,2,2,3]] => [[5,0,0],[4,0],[2]]
[[1,1,2,3,3]] => [[5,0,0],[3,0],[2]]
[[1,1,3,3,3]] => [[5,0,0],[2,0],[2]]
[[1,2,2,2,3]] => [[5,0,0],[4,0],[1]]
[[1,2,2,3,3]] => [[5,0,0],[3,0],[1]]
[[1,2,3,3,3]] => [[5,0,0],[2,0],[1]]
[[1,3,3,3,3]] => [[5,0,0],[1,0],[1]]
[[2,2,2,2,3]] => [[5,0,0],[4,0],[0]]
[[2,2,2,3,3]] => [[5,0,0],[3,0],[0]]
[[2,2,3,3,3]] => [[5,0,0],[2,0],[0]]
[[2,3,3,3,3]] => [[5,0,0],[1,0],[0]]
[[3,3,3,3,3]] => [[5,0,0],[0,0],[0]]
[[1,1,1,1],[3]] => [[4,1,0],[4,0],[4]]
[[1,1,1,2],[3]] => [[4,1,0],[4,0],[3]]
[[1,1,1,3],[2]] => [[4,1,0],[3,1],[3]]
[[1,1,1,3],[3]] => [[4,1,0],[3,0],[3]]
[[1,1,2,2],[3]] => [[4,1,0],[4,0],[2]]
[[1,1,2,3],[2]] => [[4,1,0],[3,1],[2]]
[[1,1,2,3],[3]] => [[4,1,0],[3,0],[2]]
[[1,1,3,3],[2]] => [[4,1,0],[2,1],[2]]
[[1,1,3,3],[3]] => [[4,1,0],[2,0],[2]]
[[1,2,2,2],[3]] => [[4,1,0],[4,0],[1]]
[[1,2,2,3],[2]] => [[4,1,0],[3,1],[1]]
[[1,2,2,3],[3]] => [[4,1,0],[3,0],[1]]
[[1,2,3,3],[2]] => [[4,1,0],[2,1],[1]]
[[1,2,3,3],[3]] => [[4,1,0],[2,0],[1]]
[[1,3,3,3],[2]] => [[4,1,0],[1,1],[1]]
[[1,3,3,3],[3]] => [[4,1,0],[1,0],[1]]
[[2,2,2,2],[3]] => [[4,1,0],[4,0],[0]]
[[2,2,2,3],[3]] => [[4,1,0],[3,0],[0]]
[[2,2,3,3],[3]] => [[4,1,0],[2,0],[0]]
[[2,3,3,3],[3]] => [[4,1,0],[1,0],[0]]
[[1,1,1],[2,3]] => [[3,2,0],[3,1],[3]]
[[1,1,1],[3,3]] => [[3,2,0],[3,0],[3]]
[[1,1,2],[2,3]] => [[3,2,0],[3,1],[2]]
[[1,1,3],[2,2]] => [[3,2,0],[2,2],[2]]
[[1,1,2],[3,3]] => [[3,2,0],[3,0],[2]]
[[1,1,3],[2,3]] => [[3,2,0],[2,1],[2]]
[[1,1,3],[3,3]] => [[3,2,0],[2,0],[2]]
[[1,2,2],[2,3]] => [[3,2,0],[3,1],[1]]
[[1,2,2],[3,3]] => [[3,2,0],[3,0],[1]]
[[1,2,3],[2,3]] => [[3,2,0],[2,1],[1]]
[[1,2,3],[3,3]] => [[3,2,0],[2,0],[1]]
[[2,2,2],[3,3]] => [[3,2,0],[3,0],[0]]
[[2,2,3],[3,3]] => [[3,2,0],[2,0],[0]]
[[1,1,1],[2],[3]] => [[3,1,1],[3,1],[3]]
[[1,1,2],[2],[3]] => [[3,1,1],[3,1],[2]]
[[1,1,3],[2],[3]] => [[3,1,1],[2,1],[2]]
[[1,2,2],[2],[3]] => [[3,1,1],[3,1],[1]]
[[1,2,3],[2],[3]] => [[3,1,1],[2,1],[1]]
[[1,3,3],[2],[3]] => [[3,1,1],[1,1],[1]]
[[1,1],[2,2],[3]] => [[2,2,1],[2,2],[2]]
[[1,1],[2,3],[3]] => [[2,2,1],[2,1],[2]]
[[1,2],[2,3],[3]] => [[2,2,1],[2,1],[1]]
[[1,1,1,1,4]] => [[5,0,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2,4]] => [[5,0,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,3,4]] => [[5,0,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4,4]] => [[5,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2,4]] => [[5,0,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,3,4]] => [[5,0,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4,4]] => [[5,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,3,4]] => [[5,0,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4,4]] => [[5,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4,4]] => [[5,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2,4]] => [[5,0,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,3,4]] => [[5,0,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4,4]] => [[5,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,3,4]] => [[5,0,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4,4]] => [[5,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4,4]] => [[5,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,3,4]] => [[5,0,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4,4]] => [[5,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4,4]] => [[5,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4,4]] => [[5,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2,4]] => [[5,0,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3,4]] => [[5,0,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4,4]] => [[5,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3,4]] => [[5,0,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4,4]] => [[5,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4,4]] => [[5,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3,4]] => [[5,0,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4,4]] => [[5,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4,4]] => [[5,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4,4]] => [[5,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3,4]] => [[5,0,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4,4]] => [[5,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4,4]] => [[5,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4,4]] => [[5,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,4,4]] => [[5,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1,1],[4]] => [[4,1,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[3]]
[[1,1,1,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[3]]
[[1,1,1,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[2]]
[[1,1,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[2]]
[[1,1,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[2]]
[[1,1,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[2]]
[[1,1,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4,4],[4]] => [[4,1,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,4],[2]] => [[4,1,0,0],[3,1,0],[3,1],[1]]
[[1,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[1]]
[[1,2,3,4],[2]] => [[4,1,0,0],[3,1,0],[2,1],[1]]
[[1,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4,4],[2]] => [[4,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[1]]
[[1,3,3,4],[2]] => [[4,1,0,0],[3,1,0],[1,1],[1]]
[[1,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,4,4],[2]] => [[4,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4,4],[4]] => [[4,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,4,4],[2]] => [[4,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3,3],[4]] => [[4,1,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4],[3]] => [[4,1,0,0],[3,1,0],[1,0],[1]]
[[1,3,3,4],[4]] => [[4,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4],[3]] => [[4,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4,4],[4]] => [[4,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4],[3]] => [[4,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4,4],[4]] => [[4,1,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2],[4]] => [[4,1,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3],[4]] => [[4,1,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4],[3]] => [[4,1,0,0],[3,1,0],[3,0],[0]]
[[2,2,2,4],[4]] => [[4,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3],[4]] => [[4,1,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4],[3]] => [[4,1,0,0],[3,1,0],[2,0],[0]]
[[2,2,3,4],[4]] => [[4,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4],[3]] => [[4,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4,4],[4]] => [[4,1,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3],[4]] => [[4,1,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4],[3]] => [[4,1,0,0],[3,1,0],[1,0],[0]]
[[2,3,3,4],[4]] => [[4,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4],[3]] => [[4,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4,4],[4]] => [[4,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4],[3]] => [[4,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4,4],[4]] => [[4,1,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3],[4]] => [[4,1,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4],[4]] => [[4,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4],[4]] => [[4,1,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4],[4]] => [[4,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[3]]
[[1,1,1],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[2]]
[[1,1,4],[2,2]] => [[3,2,0,0],[2,2,0],[2,2],[2]]
[[1,1,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[2]]
[[1,1,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[2]]
[[1,1,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[2]]
[[1,1,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[2]]
[[1,1,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[2]]
[[1,1,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[2]]
[[1,1,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[4,4]] => [[3,2,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[2,4]] => [[3,2,0,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2,4]] => [[3,2,0,0],[3,1,0],[2,1],[1]]
[[1,2,4],[2,3]] => [[3,2,0,0],[2,2,0],[2,1],[1]]
[[1,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[1]]
[[1,2,4],[2,4]] => [[3,2,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[1]]
[[1,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[1]]
[[1,3,3],[2,4]] => [[3,2,0,0],[3,1,0],[1,1],[1]]
[[1,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[1]]
[[1,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2,4]] => [[3,2,0,0],[2,1,0],[1,1],[1]]
[[1,2,4],[4,4]] => [[3,2,0,0],[2,0,0],[2,0],[1]]
[[1,3,3],[3,4]] => [[3,2,0,0],[3,1,0],[1,0],[1]]
[[1,3,3],[4,4]] => [[3,2,0,0],[3,0,0],[1,0],[1]]
[[1,3,4],[3,4]] => [[3,2,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[4,4]] => [[3,2,0,0],[2,0,0],[1,0],[1]]
[[2,2,2],[3,4]] => [[3,2,0,0],[3,1,0],[3,0],[0]]
[[2,2,2],[4,4]] => [[3,2,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[3,4]] => [[3,2,0,0],[3,1,0],[2,0],[0]]
[[2,2,4],[3,3]] => [[3,2,0,0],[2,2,0],[2,0],[0]]
[[2,2,3],[4,4]] => [[3,2,0,0],[3,0,0],[2,0],[0]]
[[2,2,4],[3,4]] => [[3,2,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[4,4]] => [[3,2,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[3,4]] => [[3,2,0,0],[3,1,0],[1,0],[0]]
[[2,3,3],[4,4]] => [[3,2,0,0],[3,0,0],[1,0],[0]]
[[2,3,4],[3,4]] => [[3,2,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[4,4]] => [[3,2,0,0],[2,0,0],[1,0],[0]]
[[3,3,3],[4,4]] => [[3,2,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[4,4]] => [[3,2,0,0],[2,0,0],[0,0],[0]]
[[1,1,1],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[3]]
[[1,1,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[2]]
[[1,1,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[2]]
[[1,1,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[2]]
[[1,1,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[2]]
[[1,1,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[2]]
[[1,1,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[2]]
[[1,2,2],[2],[4]] => [[3,1,1,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2],[4]] => [[3,1,1,0],[3,1,0],[2,1],[1]]
[[1,2,4],[2],[3]] => [[3,1,1,0],[2,1,1],[2,1],[1]]
[[1,2,4],[2],[4]] => [[3,1,1,0],[2,1,0],[2,1],[1]]
[[1,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[1]]
[[1,3,3],[2],[4]] => [[3,1,1,0],[3,1,0],[1,1],[1]]
[[1,3,4],[2],[3]] => [[3,1,1,0],[2,1,1],[1,1],[1]]
[[1,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2],[4]] => [[3,1,1,0],[2,1,0],[1,1],[1]]
[[1,4,4],[2],[3]] => [[3,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,4],[2],[4]] => [[3,1,1,0],[1,1,0],[1,1],[1]]
[[1,3,3],[3],[4]] => [[3,1,1,0],[3,1,0],[1,0],[1]]
[[1,3,4],[3],[4]] => [[3,1,1,0],[2,1,0],[1,0],[1]]
[[1,4,4],[3],[4]] => [[3,1,1,0],[1,1,0],[1,0],[1]]
[[2,2,2],[3],[4]] => [[3,1,1,0],[3,1,0],[3,0],[0]]
[[2,2,3],[3],[4]] => [[3,1,1,0],[3,1,0],[2,0],[0]]
[[2,2,4],[3],[4]] => [[3,1,1,0],[2,1,0],[2,0],[0]]
[[2,3,3],[3],[4]] => [[3,1,1,0],[3,1,0],[1,0],[0]]
[[2,3,4],[3],[4]] => [[3,1,1,0],[2,1,0],[1,0],[0]]
[[2,4,4],[3],[4]] => [[3,1,1,0],[1,1,0],[1,0],[0]]
[[1,1],[2,2],[4]] => [[2,2,1,0],[2,2,0],[2,2],[2]]
[[1,1],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[2]]
[[1,1],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[2]]
[[1,1],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[2]]
[[1,1],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[2]]
[[1,1],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[2]]
[[1,2],[2,3],[4]] => [[2,2,1,0],[2,2,0],[2,1],[1]]
[[1,2],[2,4],[3]] => [[2,2,1,0],[2,1,1],[2,1],[1]]
[[1,2],[2,4],[4]] => [[2,2,1,0],[2,1,0],[2,1],[1]]
[[1,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[1]]
[[1,3],[2,4],[3]] => [[2,2,1,0],[2,1,1],[1,1],[1]]
[[1,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[1]]
[[1,3],[2,4],[4]] => [[2,2,1,0],[2,1,0],[1,1],[1]]
[[1,3],[3,4],[4]] => [[2,2,1,0],[2,1,0],[1,0],[1]]
[[2,2],[3,3],[4]] => [[2,2,1,0],[2,2,0],[2,0],[0]]
[[2,2],[3,4],[4]] => [[2,2,1,0],[2,1,0],[2,0],[0]]
[[2,3],[3,4],[4]] => [[2,2,1,0],[2,1,0],[1,0],[0]]
[[1,1],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[2]]
[[1,2],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[2,1],[1]]
[[1,3],[2],[3],[4]] => [[2,1,1,1],[2,1,1],[1,1],[1]]
[[1,4],[2],[3],[4]] => [[2,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,1,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,2,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,2,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5,5,5]] => [[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,2,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5,5,5]] => [[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3,5]] => [[5,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4,5]] => [[5,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,3,5,5]] => [[5,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5,5,5]] => [[5,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,4,5]] => [[5,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,4,5,5]] => [[5,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5,5,5]] => [[5,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5,5,5]] => [[5,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[5,5,5,5,5]] => [[5,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1,1],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]
[[1,1,1,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]
[[1,1,1,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,1,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,1,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]
[[1,1,2,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]
[[1,1,3,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]
[[1,1,2,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,2,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,2,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,5,5],[2]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]
[[1,1,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]
[[1,2,2,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]
[[1,2,3,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]
[[1,2,2,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,2,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,2,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,5,5],[2]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]
[[1,3,3,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]
[[1,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,5,5],[2]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,4,5],[2]] => [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,5,5],[2]] => [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,5,5,5],[2]] => [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]
[[1,3,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,5,5,5],[3]] => [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[1,5,5,5],[4]] => [[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[1,5,5,5],[5]] => [[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]
[[2,2,2,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,2,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,2,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]
[[2,2,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]
[[2,3,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,5],[3]] => [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,5,5],[3]] => [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,5,5,5],[3]] => [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[2,5,5,5],[4]] => [[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[2,5,5,5],[5]] => [[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3],[5]] => [[4,1,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,3,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,3,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,4,5],[4]] => [[4,1,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5,5],[4]] => [[4,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[3,5,5,5],[4]] => [[4,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[3,5,5,5],[5]] => [[4,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,4],[5]] => [[4,1,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,4,5],[5]] => [[4,1,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5,5],[5]] => [[4,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[4,5,5,5],[5]] => [[4,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]
[[1,1,1],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,1],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]
[[1,1,5],[2,2]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,2],[2]]
[[1,1,2],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]
[[1,1,5],[2,3]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[2]]
[[1,1,2],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[2]]
[[1,1,2],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,5],[2,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]
[[1,1,5],[3,3]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[2]]
[[1,1,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[2]]
[[1,1,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[2]]
[[1,1,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]
[[1,2,5],[2,3]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[1]]
[[1,2,2],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[1]]
[[1,2,2],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,5],[2,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]
[[1,2,5],[3,3]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[1]]
[[1,3,3],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]
[[1,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,2,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,5],[2,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]
[[1,2,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[1]]
[[1,4,4],[2,5]] => [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]
[[1,2,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,5],[2,5]] => [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,2,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]
[[1,3,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[1]]
[[1,3,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]
[[1,3,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[1]]
[[1,4,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]
[[1,3,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,3,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]
[[2,2,2],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,2],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]
[[2,2,5],[3,3]] => [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[0]]
[[2,2,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[0]]
[[2,2,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[0]]
[[2,2,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]
[[2,3,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,5],[3,4]] => [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[0]]
[[2,3,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]
[[2,3,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[0]]
[[2,4,4],[3,5]] => [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]
[[2,3,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,5],[3,5]] => [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,3,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,3],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[4,4]] => [[3,2,0,0,0],[2,2,0,0],[2,0,0],[0,0],[0]]
[[3,3,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4],[4,5]] => [[3,2,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[4,5]] => [[3,2,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4],[5,5]] => [[3,2,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]
[[4,4,5],[5,5]] => [[3,2,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]
[[1,1,1],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]
[[1,1,2],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]
[[1,1,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]
[[1,1,2],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]
[[1,1,5],[2],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]
[[1,1,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]
[[1,1,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]
[[1,1,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,2,2],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]
[[1,2,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]
[[1,2,2],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]
[[1,2,5],[2],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]
[[1,3,3],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]
[[1,3,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]
[[1,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,4,5],[2],[3]] => [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,2,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,5],[2],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,5,5],[2],[3]] => [[3,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,2,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,4],[2],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]
[[1,4,5],[2],[4]] => [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]]
[[1,2,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,5],[2],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,5,5],[2],[4]] => [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,5,5],[2],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]
[[1,3,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]]
[[1,3,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]]
[[1,3,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,5,5],[3],[4]] => [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[1,5,5],[3],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]
[[1,4,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[1,5,5],[4],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]
[[2,2,2],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]
[[2,2,2],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]
[[2,2,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]]
[[2,2,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]
[[2,2,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,3,3],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]
[[2,3,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]]
[[2,3,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,4],[3],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,5],[3],[4]] => [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]]
[[2,3,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,5],[3],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,5,5],[3],[4]] => [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[2,5,5],[3],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]
[[2,4,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[2,5,5],[4],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]
[[3,3,3],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]
[[3,3,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,4,4],[4],[5]] => [[3,1,1,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]
[[3,4,5],[4],[5]] => [[3,1,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[3,5,5],[4],[5]] => [[3,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]
[[1,1],[2,2],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,2],[2]]
[[1,1],[2,3],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[2]]
[[1,1],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]
[[1,1],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[2]]
[[1,1],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]
[[1,1],[2,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]
[[1,1],[3,3],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[2]]
[[1,1],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[2]]
[[1,1],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]
[[1,1],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]
[[1,1],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[2]]
[[1,1],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]
[[1,2],[2,3],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[1]]
[[1,2],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]
[[1,2],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[1]]
[[1,2],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]
[[1,2],[2,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]
[[1,2],[3,3],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[1]]
[[1,3],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]
[[1,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3],[2,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,4],[2,5],[3]] => [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,2],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]
[[1,3],[2,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]
[[1,2],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]]
[[1,2],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]
[[1,4],[2,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]
[[1,3],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[1]]
[[1,3],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]]
[[1,3],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]
[[1,3],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]]
[[1,3],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]
[[1,4],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]
[[1,4],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]
[[2,2],[3,3],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[0]]
[[2,2],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[0]]
[[2,2],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]]
[[2,2],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]
[[2,2],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[0]]
[[2,2],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]
[[2,3],[3,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[0]]
[[2,3],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]]
[[2,3],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]
[[2,3],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3,5],[4]] => [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]]
[[2,3],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]
[[2,4],[3,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]
[[2,4],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]
[[3,3],[4,4],[5]] => [[2,2,1,0,0],[2,2,0,0],[2,0,0],[0,0],[0]]
[[3,3],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]
[[3,4],[4,5],[5]] => [[2,2,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]
[[1,1],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[2]]
[[1,1],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[2]]
[[1,1],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[2]]
[[1,2],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[1]]
[[1,2],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[1]]
[[1,3],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,1],[1,1],[1]]
[[1,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,4],[2],[3],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,5],[2],[3],[4]] => [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,5],[2],[3],[5]] => [[2,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]]
[[1,4],[2],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,1],[1]]
[[1,5],[2],[4],[5]] => [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]]
[[1,3],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[1]]
[[1,4],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[1]]
[[1,5],[3],[4],[5]] => [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]]
[[2,2],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[0]]
[[2,3],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[0]]
[[2,4],[3],[4],[5]] => [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[0]]
[[2,5],[3],[4],[5]] => [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]]
[[1],[2],[3],[4],[5]] => [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1]] => [[6]]
[[1,1,1,1,1,2]] => [[6,0],[5]]
[[1,1,1,1,2,2]] => [[6,0],[4]]
[[1,1,1,2,2,2]] => [[6,0],[3]]
[[1,1,2,2,2,2]] => [[6,0],[2]]
[[1,2,2,2,2,2]] => [[6,0],[1]]
[[2,2,2,2,2,2]] => [[6,0],[0]]
[[1,1,1,1,1],[2]] => [[5,1],[5]]
[[1,1,1,1,2],[2]] => [[5,1],[4]]
[[1,1,1,2,2],[2]] => [[5,1],[3]]
[[1,1,2,2,2],[2]] => [[5,1],[2]]
[[1,2,2,2,2],[2]] => [[5,1],[1]]
[[1,1,1,1],[2,2]] => [[4,2],[4]]
[[1,1,1,2],[2,2]] => [[4,2],[3]]
[[1,1,2,2],[2,2]] => [[4,2],[2]]
[[1,1,1],[2,2,2]] => [[3,3],[3]]
[[1,1,1,1,1,3]] => [[6,0,0],[5,0],[5]]
[[1,1,1,1,2,3]] => [[6,0,0],[5,0],[4]]
[[1,1,1,1,3,3]] => [[6,0,0],[4,0],[4]]
[[1,1,1,2,2,3]] => [[6,0,0],[5,0],[3]]
[[1,1,1,2,3,3]] => [[6,0,0],[4,0],[3]]
[[1,1,1,3,3,3]] => [[6,0,0],[3,0],[3]]
[[1,1,2,2,2,3]] => [[6,0,0],[5,0],[2]]
[[1,1,2,2,3,3]] => [[6,0,0],[4,0],[2]]
[[1,1,2,3,3,3]] => [[6,0,0],[3,0],[2]]
[[1,1,3,3,3,3]] => [[6,0,0],[2,0],[2]]
[[1,2,2,2,2,3]] => [[6,0,0],[5,0],[1]]
[[1,2,2,2,3,3]] => [[6,0,0],[4,0],[1]]
[[1,2,2,3,3,3]] => [[6,0,0],[3,0],[1]]
[[1,2,3,3,3,3]] => [[6,0,0],[2,0],[1]]
[[1,3,3,3,3,3]] => [[6,0,0],[1,0],[1]]
[[2,2,2,2,2,3]] => [[6,0,0],[5,0],[0]]
[[2,2,2,2,3,3]] => [[6,0,0],[4,0],[0]]
[[2,2,2,3,3,3]] => [[6,0,0],[3,0],[0]]
[[2,2,3,3,3,3]] => [[6,0,0],[2,0],[0]]
[[2,3,3,3,3,3]] => [[6,0,0],[1,0],[0]]
[[3,3,3,3,3,3]] => [[6,0,0],[0,0],[0]]
[[1,1,1,1,1],[3]] => [[5,1,0],[5,0],[5]]
[[1,1,1,1,2],[3]] => [[5,1,0],[5,0],[4]]
[[1,1,1,1,3],[2]] => [[5,1,0],[4,1],[4]]
[[1,1,1,1,3],[3]] => [[5,1,0],[4,0],[4]]
[[1,1,1,2,2],[3]] => [[5,1,0],[5,0],[3]]
[[1,1,1,2,3],[2]] => [[5,1,0],[4,1],[3]]
[[1,1,1,2,3],[3]] => [[5,1,0],[4,0],[3]]
[[1,1,1,3,3],[2]] => [[5,1,0],[3,1],[3]]
[[1,1,1,3,3],[3]] => [[5,1,0],[3,0],[3]]
[[1,1,2,2,2],[3]] => [[5,1,0],[5,0],[2]]
[[1,1,2,2,3],[2]] => [[5,1,0],[4,1],[2]]
[[1,1,2,2,3],[3]] => [[5,1,0],[4,0],[2]]
[[1,1,2,3,3],[2]] => [[5,1,0],[3,1],[2]]
[[1,1,2,3,3],[3]] => [[5,1,0],[3,0],[2]]
[[1,1,3,3,3],[2]] => [[5,1,0],[2,1],[2]]
[[1,1,3,3,3],[3]] => [[5,1,0],[2,0],[2]]
[[1,2,2,2,2],[3]] => [[5,1,0],[5,0],[1]]
[[1,2,2,2,3],[2]] => [[5,1,0],[4,1],[1]]
[[1,2,2,2,3],[3]] => [[5,1,0],[4,0],[1]]
[[1,2,2,3,3],[2]] => [[5,1,0],[3,1],[1]]
[[1,2,2,3,3],[3]] => [[5,1,0],[3,0],[1]]
[[1,2,3,3,3],[2]] => [[5,1,0],[2,1],[1]]
[[1,2,3,3,3],[3]] => [[5,1,0],[2,0],[1]]
[[1,3,3,3,3],[2]] => [[5,1,0],[1,1],[1]]
[[1,3,3,3,3],[3]] => [[5,1,0],[1,0],[1]]
[[2,2,2,2,2],[3]] => [[5,1,0],[5,0],[0]]
[[2,2,2,2,3],[3]] => [[5,1,0],[4,0],[0]]
[[2,2,2,3,3],[3]] => [[5,1,0],[3,0],[0]]
[[2,2,3,3,3],[3]] => [[5,1,0],[2,0],[0]]
[[2,3,3,3,3],[3]] => [[5,1,0],[1,0],[0]]
[[1,1,1,1],[2,3]] => [[4,2,0],[4,1],[4]]
[[1,1,1,1],[3,3]] => [[4,2,0],[4,0],[4]]
[[1,1,1,2],[2,3]] => [[4,2,0],[4,1],[3]]
[[1,1,1,3],[2,2]] => [[4,2,0],[3,2],[3]]
[[1,1,1,2],[3,3]] => [[4,2,0],[4,0],[3]]
[[1,1,1,3],[2,3]] => [[4,2,0],[3,1],[3]]
[[1,1,1,3],[3,3]] => [[4,2,0],[3,0],[3]]
[[1,1,2,2],[2,3]] => [[4,2,0],[4,1],[2]]
[[1,1,2,3],[2,2]] => [[4,2,0],[3,2],[2]]
[[1,1,2,2],[3,3]] => [[4,2,0],[4,0],[2]]
[[1,1,2,3],[2,3]] => [[4,2,0],[3,1],[2]]
[[1,1,3,3],[2,2]] => [[4,2,0],[2,2],[2]]
[[1,1,2,3],[3,3]] => [[4,2,0],[3,0],[2]]
[[1,1,3,3],[2,3]] => [[4,2,0],[2,1],[2]]
[[1,1,3,3],[3,3]] => [[4,2,0],[2,0],[2]]
[[1,2,2,2],[2,3]] => [[4,2,0],[4,1],[1]]
[[1,2,2,2],[3,3]] => [[4,2,0],[4,0],[1]]
[[1,2,2,3],[2,3]] => [[4,2,0],[3,1],[1]]
[[1,2,2,3],[3,3]] => [[4,2,0],[3,0],[1]]
[[1,2,3,3],[2,3]] => [[4,2,0],[2,1],[1]]
[[1,2,3,3],[3,3]] => [[4,2,0],[2,0],[1]]
[[2,2,2,2],[3,3]] => [[4,2,0],[4,0],[0]]
[[2,2,2,3],[3,3]] => [[4,2,0],[3,0],[0]]
[[2,2,3,3],[3,3]] => [[4,2,0],[2,0],[0]]
[[1,1,1,1],[2],[3]] => [[4,1,1],[4,1],[4]]
[[1,1,1,2],[2],[3]] => [[4,1,1],[4,1],[3]]
[[1,1,1,3],[2],[3]] => [[4,1,1],[3,1],[3]]
[[1,1,2,2],[2],[3]] => [[4,1,1],[4,1],[2]]
[[1,1,2,3],[2],[3]] => [[4,1,1],[3,1],[2]]
[[1,1,3,3],[2],[3]] => [[4,1,1],[2,1],[2]]
[[1,2,2,2],[2],[3]] => [[4,1,1],[4,1],[1]]
[[1,2,2,3],[2],[3]] => [[4,1,1],[3,1],[1]]
[[1,2,3,3],[2],[3]] => [[4,1,1],[2,1],[1]]
[[1,3,3,3],[2],[3]] => [[4,1,1],[1,1],[1]]
[[1,1,1],[2,2,3]] => [[3,3,0],[3,2],[3]]
[[1,1,1],[2,3,3]] => [[3,3,0],[3,1],[3]]
[[1,1,1],[3,3,3]] => [[3,3,0],[3,0],[3]]
[[1,1,2],[2,2,3]] => [[3,3,0],[3,2],[2]]
[[1,1,2],[2,3,3]] => [[3,3,0],[3,1],[2]]
[[1,1,2],[3,3,3]] => [[3,3,0],[3,0],[2]]
[[1,2,2],[2,3,3]] => [[3,3,0],[3,1],[1]]
[[1,2,2],[3,3,3]] => [[3,3,0],[3,0],[1]]
[[2,2,2],[3,3,3]] => [[3,3,0],[3,0],[0]]
[[1,1,1],[2,2],[3]] => [[3,2,1],[3,2],[3]]
[[1,1,1],[2,3],[3]] => [[3,2,1],[3,1],[3]]
[[1,1,2],[2,2],[3]] => [[3,2,1],[3,2],[2]]
[[1,1,2],[2,3],[3]] => [[3,2,1],[3,1],[2]]
[[1,1,3],[2,2],[3]] => [[3,2,1],[2,2],[2]]
[[1,1,3],[2,3],[3]] => [[3,2,1],[2,1],[2]]
[[1,2,2],[2,3],[3]] => [[3,2,1],[3,1],[1]]
[[1,2,3],[2,3],[3]] => [[3,2,1],[2,1],[1]]
[[1,1],[2,2],[3,3]] => [[2,2,2],[2,2],[2]]
[[1,1,1,1,1,4]] => [[6,0,0,0],[5,0,0],[5,0],[5]]
[[1,1,1,1,2,4]] => [[6,0,0,0],[5,0,0],[5,0],[4]]
[[1,1,1,1,3,4]] => [[6,0,0,0],[5,0,0],[4,0],[4]]
[[1,1,1,1,4,4]] => [[6,0,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2,2,4]] => [[6,0,0,0],[5,0,0],[5,0],[3]]
[[1,1,1,2,3,4]] => [[6,0,0,0],[5,0,0],[4,0],[3]]
[[1,1,1,2,4,4]] => [[6,0,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,3,3,4]] => [[6,0,0,0],[5,0,0],[3,0],[3]]
[[1,1,1,3,4,4]] => [[6,0,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4,4,4]] => [[6,0,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2,2,4]] => [[6,0,0,0],[5,0,0],[5,0],[2]]
[[1,1,2,2,3,4]] => [[6,0,0,0],[5,0,0],[4,0],[2]]
[[1,1,2,2,4,4]] => [[6,0,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,3,3,4]] => [[6,0,0,0],[5,0,0],[3,0],[2]]
[[1,1,2,3,4,4]] => [[6,0,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4,4,4]] => [[6,0,0,0],[3,0,0],[3,0],[2]]
[[1,1,3,3,3,4]] => [[6,0,0,0],[5,0,0],[2,0],[2]]
[[1,1,3,3,4,4]] => [[6,0,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4,4,4]] => [[6,0,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4,4,4]] => [[6,0,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2,2,4]] => [[6,0,0,0],[5,0,0],[5,0],[1]]
[[1,2,2,2,3,4]] => [[6,0,0,0],[5,0,0],[4,0],[1]]
[[1,2,2,2,4,4]] => [[6,0,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,3,3,4]] => [[6,0,0,0],[5,0,0],[3,0],[1]]
[[1,2,2,3,4,4]] => [[6,0,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4,4,4]] => [[6,0,0,0],[3,0,0],[3,0],[1]]
[[1,2,3,3,3,4]] => [[6,0,0,0],[5,0,0],[2,0],[1]]
[[1,2,3,3,4,4]] => [[6,0,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4,4,4]] => [[6,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4,4,4]] => [[6,0,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,3,3,4]] => [[6,0,0,0],[5,0,0],[1,0],[1]]
[[1,3,3,3,4,4]] => [[6,0,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4,4,4]] => [[6,0,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4,4,4]] => [[6,0,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4,4,4]] => [[6,0,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2,2,4]] => [[6,0,0,0],[5,0,0],[5,0],[0]]
[[2,2,2,2,3,4]] => [[6,0,0,0],[5,0,0],[4,0],[0]]
[[2,2,2,2,4,4]] => [[6,0,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3,3,4]] => [[6,0,0,0],[5,0,0],[3,0],[0]]
[[2,2,2,3,4,4]] => [[6,0,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4,4,4]] => [[6,0,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3,3,4]] => [[6,0,0,0],[5,0,0],[2,0],[0]]
[[2,2,3,3,4,4]] => [[6,0,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4,4,4]] => [[6,0,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4,4,4]] => [[6,0,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3,3,4]] => [[6,0,0,0],[5,0,0],[1,0],[0]]
[[2,3,3,3,4,4]] => [[6,0,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4,4,4]] => [[6,0,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4,4,4]] => [[6,0,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4,4,4]] => [[6,0,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3,3,4]] => [[6,0,0,0],[5,0,0],[0,0],[0]]
[[3,3,3,3,4,4]] => [[6,0,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4,4,4]] => [[6,0,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4,4,4]] => [[6,0,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4,4,4]] => [[6,0,0,0],[1,0,0],[0,0],[0]]
[[4,4,4,4,4,4]] => [[6,0,0,0],[0,0,0],[0,0],[0]]
[[1,1,1,1,1],[4]] => [[5,1,0,0],[5,0,0],[5,0],[5]]
[[1,1,1,1,2],[4]] => [[5,1,0,0],[5,0,0],[5,0],[4]]
[[1,1,1,1,4],[2]] => [[5,1,0,0],[4,1,0],[4,1],[4]]
[[1,1,1,1,3],[4]] => [[5,1,0,0],[5,0,0],[4,0],[4]]
[[1,1,1,1,4],[3]] => [[5,1,0,0],[4,1,0],[4,0],[4]]
[[1,1,1,1,4],[4]] => [[5,1,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2,2],[4]] => [[5,1,0,0],[5,0,0],[5,0],[3]]
[[1,1,1,2,4],[2]] => [[5,1,0,0],[4,1,0],[4,1],[3]]
[[1,1,1,2,3],[4]] => [[5,1,0,0],[5,0,0],[4,0],[3]]
[[1,1,1,2,4],[3]] => [[5,1,0,0],[4,1,0],[4,0],[3]]
[[1,1,1,3,4],[2]] => [[5,1,0,0],[4,1,0],[3,1],[3]]
[[1,1,1,2,4],[4]] => [[5,1,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,4,4],[2]] => [[5,1,0,0],[3,1,0],[3,1],[3]]
[[1,1,1,3,3],[4]] => [[5,1,0,0],[5,0,0],[3,0],[3]]
[[1,1,1,3,4],[3]] => [[5,1,0,0],[4,1,0],[3,0],[3]]
[[1,1,1,3,4],[4]] => [[5,1,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4,4],[3]] => [[5,1,0,0],[3,1,0],[3,0],[3]]
[[1,1,1,4,4],[4]] => [[5,1,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2,2],[4]] => [[5,1,0,0],[5,0,0],[5,0],[2]]
[[1,1,2,2,4],[2]] => [[5,1,0,0],[4,1,0],[4,1],[2]]
[[1,1,2,2,3],[4]] => [[5,1,0,0],[5,0,0],[4,0],[2]]
[[1,1,2,2,4],[3]] => [[5,1,0,0],[4,1,0],[4,0],[2]]
[[1,1,2,3,4],[2]] => [[5,1,0,0],[4,1,0],[3,1],[2]]
[[1,1,2,2,4],[4]] => [[5,1,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,4,4],[2]] => [[5,1,0,0],[3,1,0],[3,1],[2]]
[[1,1,2,3,3],[4]] => [[5,1,0,0],[5,0,0],[3,0],[2]]
[[1,1,2,3,4],[3]] => [[5,1,0,0],[4,1,0],[3,0],[2]]
[[1,1,3,3,4],[2]] => [[5,1,0,0],[4,1,0],[2,1],[2]]
[[1,1,2,3,4],[4]] => [[5,1,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4,4],[3]] => [[5,1,0,0],[3,1,0],[3,0],[2]]
[[1,1,3,4,4],[2]] => [[5,1,0,0],[3,1,0],[2,1],[2]]
[[1,1,2,4,4],[4]] => [[5,1,0,0],[3,0,0],[3,0],[2]]
[[1,1,4,4,4],[2]] => [[5,1,0,0],[2,1,0],[2,1],[2]]
[[1,1,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[2,0],[2]]
[[1,1,3,3,4],[3]] => [[5,1,0,0],[4,1,0],[2,0],[2]]
[[1,1,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4,4],[3]] => [[5,1,0,0],[3,1,0],[2,0],[2]]
[[1,1,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4,4],[3]] => [[5,1,0,0],[2,1,0],[2,0],[2]]
[[1,1,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2,2],[4]] => [[5,1,0,0],[5,0,0],[5,0],[1]]
[[1,2,2,2,4],[2]] => [[5,1,0,0],[4,1,0],[4,1],[1]]
[[1,2,2,2,3],[4]] => [[5,1,0,0],[5,0,0],[4,0],[1]]
[[1,2,2,2,4],[3]] => [[5,1,0,0],[4,1,0],[4,0],[1]]
[[1,2,2,3,4],[2]] => [[5,1,0,0],[4,1,0],[3,1],[1]]
[[1,2,2,2,4],[4]] => [[5,1,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,4,4],[2]] => [[5,1,0,0],[3,1,0],[3,1],[1]]
[[1,2,2,3,3],[4]] => [[5,1,0,0],[5,0,0],[3,0],[1]]
[[1,2,2,3,4],[3]] => [[5,1,0,0],[4,1,0],[3,0],[1]]
[[1,2,3,3,4],[2]] => [[5,1,0,0],[4,1,0],[2,1],[1]]
[[1,2,2,3,4],[4]] => [[5,1,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4,4],[3]] => [[5,1,0,0],[3,1,0],[3,0],[1]]
[[1,2,3,4,4],[2]] => [[5,1,0,0],[3,1,0],[2,1],[1]]
[[1,2,2,4,4],[4]] => [[5,1,0,0],[3,0,0],[3,0],[1]]
[[1,2,4,4,4],[2]] => [[5,1,0,0],[2,1,0],[2,1],[1]]
[[1,2,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[2,0],[1]]
[[1,2,3,3,4],[3]] => [[5,1,0,0],[4,1,0],[2,0],[1]]
[[1,3,3,3,4],[2]] => [[5,1,0,0],[4,1,0],[1,1],[1]]
[[1,2,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4,4],[3]] => [[5,1,0,0],[3,1,0],[2,0],[1]]
[[1,3,3,4,4],[2]] => [[5,1,0,0],[3,1,0],[1,1],[1]]
[[1,2,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4,4],[3]] => [[5,1,0,0],[2,1,0],[2,0],[1]]
[[1,3,4,4,4],[2]] => [[5,1,0,0],[2,1,0],[1,1],[1]]
[[1,2,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[2,0],[1]]
[[1,4,4,4,4],[2]] => [[5,1,0,0],[1,1,0],[1,1],[1]]
[[1,3,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[1,0],[1]]
[[1,3,3,3,4],[3]] => [[5,1,0,0],[4,1,0],[1,0],[1]]
[[1,3,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4,4],[3]] => [[5,1,0,0],[3,1,0],[1,0],[1]]
[[1,3,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4,4],[3]] => [[5,1,0,0],[2,1,0],[1,0],[1]]
[[1,3,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[1,0],[1]]
[[1,4,4,4,4],[3]] => [[5,1,0,0],[1,1,0],[1,0],[1]]
[[1,4,4,4,4],[4]] => [[5,1,0,0],[1,0,0],[1,0],[1]]
[[2,2,2,2,2],[4]] => [[5,1,0,0],[5,0,0],[5,0],[0]]
[[2,2,2,2,3],[4]] => [[5,1,0,0],[5,0,0],[4,0],[0]]
[[2,2,2,2,4],[3]] => [[5,1,0,0],[4,1,0],[4,0],[0]]
[[2,2,2,2,4],[4]] => [[5,1,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3,3],[4]] => [[5,1,0,0],[5,0,0],[3,0],[0]]
[[2,2,2,3,4],[3]] => [[5,1,0,0],[4,1,0],[3,0],[0]]
[[2,2,2,3,4],[4]] => [[5,1,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4,4],[3]] => [[5,1,0,0],[3,1,0],[3,0],[0]]
[[2,2,2,4,4],[4]] => [[5,1,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[2,0],[0]]
[[2,2,3,3,4],[3]] => [[5,1,0,0],[4,1,0],[2,0],[0]]
[[2,2,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4,4],[3]] => [[5,1,0,0],[3,1,0],[2,0],[0]]
[[2,2,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4,4],[3]] => [[5,1,0,0],[2,1,0],[2,0],[0]]
[[2,2,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[1,0],[0]]
[[2,3,3,3,4],[3]] => [[5,1,0,0],[4,1,0],[1,0],[0]]
[[2,3,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4,4],[3]] => [[5,1,0,0],[3,1,0],[1,0],[0]]
[[2,3,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4,4],[3]] => [[5,1,0,0],[2,1,0],[1,0],[0]]
[[2,3,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[1,0],[0]]
[[2,4,4,4,4],[3]] => [[5,1,0,0],[1,1,0],[1,0],[0]]
[[2,4,4,4,4],[4]] => [[5,1,0,0],[1,0,0],[1,0],[0]]
[[3,3,3,3,3],[4]] => [[5,1,0,0],[5,0,0],[0,0],[0]]
[[3,3,3,3,4],[4]] => [[5,1,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4,4],[4]] => [[5,1,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4,4],[4]] => [[5,1,0,0],[2,0,0],[0,0],[0]]
[[3,4,4,4,4],[4]] => [[5,1,0,0],[1,0,0],[0,0],[0]]
[[1,1,1,1],[2,4]] => [[4,2,0,0],[4,1,0],[4,1],[4]]
[[1,1,1,1],[3,4]] => [[4,2,0,0],[4,1,0],[4,0],[4]]
[[1,1,1,1],[4,4]] => [[4,2,0,0],[4,0,0],[4,0],[4]]
[[1,1,1,2],[2,4]] => [[4,2,0,0],[4,1,0],[4,1],[3]]
[[1,1,1,4],[2,2]] => [[4,2,0,0],[3,2,0],[3,2],[3]]
[[1,1,1,2],[3,4]] => [[4,2,0,0],[4,1,0],[4,0],[3]]
[[1,1,1,3],[2,4]] => [[4,2,0,0],[4,1,0],[3,1],[3]]
[[1,1,1,4],[2,3]] => [[4,2,0,0],[3,2,0],[3,1],[3]]
[[1,1,1,2],[4,4]] => [[4,2,0,0],[4,0,0],[4,0],[3]]
[[1,1,1,4],[2,4]] => [[4,2,0,0],[3,1,0],[3,1],[3]]
[[1,1,1,3],[3,4]] => [[4,2,0,0],[4,1,0],[3,0],[3]]
[[1,1,1,4],[3,3]] => [[4,2,0,0],[3,2,0],[3,0],[3]]
[[1,1,1,3],[4,4]] => [[4,2,0,0],[4,0,0],[3,0],[3]]
[[1,1,1,4],[3,4]] => [[4,2,0,0],[3,1,0],[3,0],[3]]
[[1,1,1,4],[4,4]] => [[4,2,0,0],[3,0,0],[3,0],[3]]
[[1,1,2,2],[2,4]] => [[4,2,0,0],[4,1,0],[4,1],[2]]
[[1,1,2,4],[2,2]] => [[4,2,0,0],[3,2,0],[3,2],[2]]
[[1,1,2,2],[3,4]] => [[4,2,0,0],[4,1,0],[4,0],[2]]
[[1,1,2,3],[2,4]] => [[4,2,0,0],[4,1,0],[3,1],[2]]
[[1,1,2,4],[2,3]] => [[4,2,0,0],[3,2,0],[3,1],[2]]
[[1,1,3,4],[2,2]] => [[4,2,0,0],[3,2,0],[2,2],[2]]
[[1,1,2,2],[4,4]] => [[4,2,0,0],[4,0,0],[4,0],[2]]
[[1,1,2,4],[2,4]] => [[4,2,0,0],[3,1,0],[3,1],[2]]
[[1,1,4,4],[2,2]] => [[4,2,0,0],[2,2,0],[2,2],[2]]
[[1,1,2,3],[3,4]] => [[4,2,0,0],[4,1,0],[3,0],[2]]
[[1,1,2,4],[3,3]] => [[4,2,0,0],[3,2,0],[3,0],[2]]
[[1,1,3,3],[2,4]] => [[4,2,0,0],[4,1,0],[2,1],[2]]
[[1,1,3,4],[2,3]] => [[4,2,0,0],[3,2,0],[2,1],[2]]
[[1,1,2,3],[4,4]] => [[4,2,0,0],[4,0,0],[3,0],[2]]
[[1,1,2,4],[3,4]] => [[4,2,0,0],[3,1,0],[3,0],[2]]
[[1,1,3,4],[2,4]] => [[4,2,0,0],[3,1,0],[2,1],[2]]
[[1,1,4,4],[2,3]] => [[4,2,0,0],[2,2,0],[2,1],[2]]
[[1,1,2,4],[4,4]] => [[4,2,0,0],[3,0,0],[3,0],[2]]
[[1,1,4,4],[2,4]] => [[4,2,0,0],[2,1,0],[2,1],[2]]
[[1,1,3,3],[3,4]] => [[4,2,0,0],[4,1,0],[2,0],[2]]
[[1,1,3,4],[3,3]] => [[4,2,0,0],[3,2,0],[2,0],[2]]
[[1,1,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[2,0],[2]]
[[1,1,3,4],[3,4]] => [[4,2,0,0],[3,1,0],[2,0],[2]]
[[1,1,4,4],[3,3]] => [[4,2,0,0],[2,2,0],[2,0],[2]]
[[1,1,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[2,0],[2]]
[[1,1,4,4],[3,4]] => [[4,2,0,0],[2,1,0],[2,0],[2]]
[[1,1,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[2,0],[2]]
[[1,2,2,2],[2,4]] => [[4,2,0,0],[4,1,0],[4,1],[1]]
[[1,2,2,2],[3,4]] => [[4,2,0,0],[4,1,0],[4,0],[1]]
[[1,2,2,3],[2,4]] => [[4,2,0,0],[4,1,0],[3,1],[1]]
[[1,2,2,4],[2,3]] => [[4,2,0,0],[3,2,0],[3,1],[1]]
[[1,2,2,2],[4,4]] => [[4,2,0,0],[4,0,0],[4,0],[1]]
[[1,2,2,4],[2,4]] => [[4,2,0,0],[3,1,0],[3,1],[1]]
[[1,2,2,3],[3,4]] => [[4,2,0,0],[4,1,0],[3,0],[1]]
[[1,2,2,4],[3,3]] => [[4,2,0,0],[3,2,0],[3,0],[1]]
[[1,2,3,3],[2,4]] => [[4,2,0,0],[4,1,0],[2,1],[1]]
[[1,2,3,4],[2,3]] => [[4,2,0,0],[3,2,0],[2,1],[1]]
[[1,2,2,3],[4,4]] => [[4,2,0,0],[4,0,0],[3,0],[1]]
[[1,2,2,4],[3,4]] => [[4,2,0,0],[3,1,0],[3,0],[1]]
[[1,2,3,4],[2,4]] => [[4,2,0,0],[3,1,0],[2,1],[1]]
[[1,2,4,4],[2,3]] => [[4,2,0,0],[2,2,0],[2,1],[1]]
[[1,2,2,4],[4,4]] => [[4,2,0,0],[3,0,0],[3,0],[1]]
[[1,2,4,4],[2,4]] => [[4,2,0,0],[2,1,0],[2,1],[1]]
[[1,2,3,3],[3,4]] => [[4,2,0,0],[4,1,0],[2,0],[1]]
[[1,2,3,4],[3,3]] => [[4,2,0,0],[3,2,0],[2,0],[1]]
[[1,3,3,3],[2,4]] => [[4,2,0,0],[4,1,0],[1,1],[1]]
[[1,2,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[2,0],[1]]
[[1,2,3,4],[3,4]] => [[4,2,0,0],[3,1,0],[2,0],[1]]
[[1,2,4,4],[3,3]] => [[4,2,0,0],[2,2,0],[2,0],[1]]
[[1,3,3,4],[2,4]] => [[4,2,0,0],[3,1,0],[1,1],[1]]
[[1,2,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,4],[3,4]] => [[4,2,0,0],[2,1,0],[2,0],[1]]
[[1,3,4,4],[2,4]] => [[4,2,0,0],[2,1,0],[1,1],[1]]
[[1,2,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[2,0],[1]]
[[1,3,3,3],[3,4]] => [[4,2,0,0],[4,1,0],[1,0],[1]]
[[1,3,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[1,0],[1]]
[[1,3,3,4],[3,4]] => [[4,2,0,0],[3,1,0],[1,0],[1]]
[[1,3,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[1,0],[1]]
[[1,3,4,4],[3,4]] => [[4,2,0,0],[2,1,0],[1,0],[1]]
[[1,3,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[1,0],[1]]
[[2,2,2,2],[3,4]] => [[4,2,0,0],[4,1,0],[4,0],[0]]
[[2,2,2,2],[4,4]] => [[4,2,0,0],[4,0,0],[4,0],[0]]
[[2,2,2,3],[3,4]] => [[4,2,0,0],[4,1,0],[3,0],[0]]
[[2,2,2,4],[3,3]] => [[4,2,0,0],[3,2,0],[3,0],[0]]
[[2,2,2,3],[4,4]] => [[4,2,0,0],[4,0,0],[3,0],[0]]
[[2,2,2,4],[3,4]] => [[4,2,0,0],[3,1,0],[3,0],[0]]
[[2,2,2,4],[4,4]] => [[4,2,0,0],[3,0,0],[3,0],[0]]
[[2,2,3,3],[3,4]] => [[4,2,0,0],[4,1,0],[2,0],[0]]
[[2,2,3,4],[3,3]] => [[4,2,0,0],[3,2,0],[2,0],[0]]
[[2,2,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[2,0],[0]]
[[2,2,3,4],[3,4]] => [[4,2,0,0],[3,1,0],[2,0],[0]]
[[2,2,4,4],[3,3]] => [[4,2,0,0],[2,2,0],[2,0],[0]]
[[2,2,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[2,0],[0]]
[[2,2,4,4],[3,4]] => [[4,2,0,0],[2,1,0],[2,0],[0]]
[[2,2,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[2,0],[0]]
[[2,3,3,3],[3,4]] => [[4,2,0,0],[4,1,0],[1,0],[0]]
[[2,3,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[1,0],[0]]
[[2,3,3,4],[3,4]] => [[4,2,0,0],[3,1,0],[1,0],[0]]
[[2,3,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[1,0],[0]]
[[2,3,4,4],[3,4]] => [[4,2,0,0],[2,1,0],[1,0],[0]]
[[2,3,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[1,0],[0]]
[[3,3,3,3],[4,4]] => [[4,2,0,0],[4,0,0],[0,0],[0]]
[[3,3,3,4],[4,4]] => [[4,2,0,0],[3,0,0],[0,0],[0]]
[[3,3,4,4],[4,4]] => [[4,2,0,0],[2,0,0],[0,0],[0]]
[[1,1,1,1],[2],[4]] => [[4,1,1,0],[4,1,0],[4,1],[4]]
[[1,1,1,1],[3],[4]] => [[4,1,1,0],[4,1,0],[4,0],[4]]
[[1,1,1,2],[2],[4]] => [[4,1,1,0],[4,1,0],[4,1],[3]]
[[1,1,1,2],[3],[4]] => [[4,1,1,0],[4,1,0],[4,0],[3]]
[[1,1,1,3],[2],[4]] => [[4,1,1,0],[4,1,0],[3,1],[3]]
[[1,1,1,4],[2],[3]] => [[4,1,1,0],[3,1,1],[3,1],[3]]
[[1,1,1,4],[2],[4]] => [[4,1,1,0],[3,1,0],[3,1],[3]]
[[1,1,1,3],[3],[4]] => [[4,1,1,0],[4,1,0],[3,0],[3]]
[[1,1,1,4],[3],[4]] => [[4,1,1,0],[3,1,0],[3,0],[3]]
[[1,1,2,2],[2],[4]] => [[4,1,1,0],[4,1,0],[4,1],[2]]
[[1,1,2,2],[3],[4]] => [[4,1,1,0],[4,1,0],[4,0],[2]]
[[1,1,2,3],[2],[4]] => [[4,1,1,0],[4,1,0],[3,1],[2]]
[[1,1,2,4],[2],[3]] => [[4,1,1,0],[3,1,1],[3,1],[2]]
[[1,1,2,4],[2],[4]] => [[4,1,1,0],[3,1,0],[3,1],[2]]
[[1,1,2,3],[3],[4]] => [[4,1,1,0],[4,1,0],[3,0],[2]]
[[1,1,3,3],[2],[4]] => [[4,1,1,0],[4,1,0],[2,1],[2]]
[[1,1,3,4],[2],[3]] => [[4,1,1,0],[3,1,1],[2,1],[2]]
[[1,1,2,4],[3],[4]] => [[4,1,1,0],[3,1,0],[3,0],[2]]
[[1,1,3,4],[2],[4]] => [[4,1,1,0],[3,1,0],[2,1],[2]]
[[1,1,4,4],[2],[3]] => [[4,1,1,0],[2,1,1],[2,1],[2]]
[[1,1,4,4],[2],[4]] => [[4,1,1,0],[2,1,0],[2,1],[2]]
[[1,1,3,3],[3],[4]] => [[4,1,1,0],[4,1,0],[2,0],[2]]
[[1,1,3,4],[3],[4]] => [[4,1,1,0],[3,1,0],[2,0],[2]]
[[1,1,4,4],[3],[4]] => [[4,1,1,0],[2,1,0],[2,0],[2]]
[[1,2,2,2],[2],[4]] => [[4,1,1,0],[4,1,0],[4,1],[1]]
[[1,2,2,2],[3],[4]] => [[4,1,1,0],[4,1,0],[4,0],[1]]
[[1,2,2,3],[2],[4]] => [[4,1,1,0],[4,1,0],[3,1],[1]]
[[1,2,2,4],[2],[3]] => [[4,1,1,0],[3,1,1],[3,1],[1]]
[[1,2,2,4],[2],[4]] => [[4,1,1,0],[3,1,0],[3,1],[1]]
[[1,2,2,3],[3],[4]] => [[4,1,1,0],[4,1,0],[3,0],[1]]
[[1,2,3,3],[2],[4]] => [[4,1,1,0],[4,1,0],[2,1],[1]]
[[1,2,3,4],[2],[3]] => [[4,1,1,0],[3,1,1],[2,1],[1]]
[[1,2,2,4],[3],[4]] => [[4,1,1,0],[3,1,0],[3,0],[1]]
[[1,2,3,4],[2],[4]] => [[4,1,1,0],[3,1,0],[2,1],[1]]
[[1,2,4,4],[2],[3]] => [[4,1,1,0],[2,1,1],[2,1],[1]]
[[1,2,4,4],[2],[4]] => [[4,1,1,0],[2,1,0],[2,1],[1]]
[[1,2,3,3],[3],[4]] => [[4,1,1,0],[4,1,0],[2,0],[1]]
[[1,3,3,3],[2],[4]] => [[4,1,1,0],[4,1,0],[1,1],[1]]
[[1,3,3,4],[2],[3]] => [[4,1,1,0],[3,1,1],[1,1],[1]]
[[1,2,3,4],[3],[4]] => [[4,1,1,0],[3,1,0],[2,0],[1]]
[[1,3,3,4],[2],[4]] => [[4,1,1,0],[3,1,0],[1,1],[1]]
[[1,3,4,4],[2],[3]] => [[4,1,1,0],[2,1,1],[1,1],[1]]
[[1,2,4,4],[3],[4]] => [[4,1,1,0],[2,1,0],[2,0],[1]]
[[1,3,4,4],[2],[4]] => [[4,1,1,0],[2,1,0],[1,1],[1]]
[[1,4,4,4],[2],[3]] => [[4,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,4,4],[2],[4]] => [[4,1,1,0],[1,1,0],[1,1],[1]]
[[1,3,3,3],[3],[4]] => [[4,1,1,0],[4,1,0],[1,0],[1]]
[[1,3,3,4],[3],[4]] => [[4,1,1,0],[3,1,0],[1,0],[1]]
[[1,3,4,4],[3],[4]] => [[4,1,1,0],[2,1,0],[1,0],[1]]
[[1,4,4,4],[3],[4]] => [[4,1,1,0],[1,1,0],[1,0],[1]]
[[2,2,2,2],[3],[4]] => [[4,1,1,0],[4,1,0],[4,0],[0]]
[[2,2,2,3],[3],[4]] => [[4,1,1,0],[4,1,0],[3,0],[0]]
[[2,2,2,4],[3],[4]] => [[4,1,1,0],[3,1,0],[3,0],[0]]
[[2,2,3,3],[3],[4]] => [[4,1,1,0],[4,1,0],[2,0],[0]]
[[2,2,3,4],[3],[4]] => [[4,1,1,0],[3,1,0],[2,0],[0]]
[[2,2,4,4],[3],[4]] => [[4,1,1,0],[2,1,0],[2,0],[0]]
[[2,3,3,3],[3],[4]] => [[4,1,1,0],[4,1,0],[1,0],[0]]
[[2,3,3,4],[3],[4]] => [[4,1,1,0],[3,1,0],[1,0],[0]]
[[2,3,4,4],[3],[4]] => [[4,1,1,0],[2,1,0],[1,0],[0]]
[[2,4,4,4],[3],[4]] => [[4,1,1,0],[1,1,0],[1,0],[0]]
[[1,1,1],[2,2,4]] => [[3,3,0,0],[3,2,0],[3,2],[3]]
[[1,1,1],[2,3,4]] => [[3,3,0,0],[3,2,0],[3,1],[3]]
[[1,1,1],[2,4,4]] => [[3,3,0,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3,3,4]] => [[3,3,0,0],[3,2,0],[3,0],[3]]
[[1,1,1],[3,4,4]] => [[3,3,0,0],[3,1,0],[3,0],[3]]
[[1,1,1],[4,4,4]] => [[3,3,0,0],[3,0,0],[3,0],[3]]
[[1,1,2],[2,2,4]] => [[3,3,0,0],[3,2,0],[3,2],[2]]
[[1,1,2],[2,3,4]] => [[3,3,0,0],[3,2,0],[3,1],[2]]
[[1,1,3],[2,2,4]] => [[3,3,0,0],[3,2,0],[2,2],[2]]
[[1,1,2],[2,4,4]] => [[3,3,0,0],[3,1,0],[3,1],[2]]
[[1,1,2],[3,3,4]] => [[3,3,0,0],[3,2,0],[3,0],[2]]
[[1,1,3],[2,3,4]] => [[3,3,0,0],[3,2,0],[2,1],[2]]
[[1,1,2],[3,4,4]] => [[3,3,0,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2,4,4]] => [[3,3,0,0],[3,1,0],[2,1],[2]]
[[1,1,2],[4,4,4]] => [[3,3,0,0],[3,0,0],[3,0],[2]]
[[1,1,3],[3,3,4]] => [[3,3,0,0],[3,2,0],[2,0],[2]]
[[1,1,3],[3,4,4]] => [[3,3,0,0],[3,1,0],[2,0],[2]]
[[1,1,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[2,0],[2]]
[[1,2,2],[2,3,4]] => [[3,3,0,0],[3,2,0],[3,1],[1]]
[[1,2,2],[2,4,4]] => [[3,3,0,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3,3,4]] => [[3,3,0,0],[3,2,0],[3,0],[1]]
[[1,2,3],[2,3,4]] => [[3,3,0,0],[3,2,0],[2,1],[1]]
[[1,2,2],[3,4,4]] => [[3,3,0,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2,4,4]] => [[3,3,0,0],[3,1,0],[2,1],[1]]
[[1,2,2],[4,4,4]] => [[3,3,0,0],[3,0,0],[3,0],[1]]
[[1,2,3],[3,3,4]] => [[3,3,0,0],[3,2,0],[2,0],[1]]
[[1,2,3],[3,4,4]] => [[3,3,0,0],[3,1,0],[2,0],[1]]
[[1,3,3],[2,4,4]] => [[3,3,0,0],[3,1,0],[1,1],[1]]
[[1,2,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[2,0],[1]]
[[1,3,3],[3,4,4]] => [[3,3,0,0],[3,1,0],[1,0],[1]]
[[1,3,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[1,0],[1]]
[[2,2,2],[3,3,4]] => [[3,3,0,0],[3,2,0],[3,0],[0]]
[[2,2,2],[3,4,4]] => [[3,3,0,0],[3,1,0],[3,0],[0]]
[[2,2,2],[4,4,4]] => [[3,3,0,0],[3,0,0],[3,0],[0]]
[[2,2,3],[3,3,4]] => [[3,3,0,0],[3,2,0],[2,0],[0]]
[[2,2,3],[3,4,4]] => [[3,3,0,0],[3,1,0],[2,0],[0]]
[[2,2,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[2,0],[0]]
[[2,3,3],[3,4,4]] => [[3,3,0,0],[3,1,0],[1,0],[0]]
[[2,3,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[1,0],[0]]
[[3,3,3],[4,4,4]] => [[3,3,0,0],[3,0,0],[0,0],[0]]
[[1,1,1],[2,2],[4]] => [[3,2,1,0],[3,2,0],[3,2],[3]]
[[1,1,1],[2,3],[4]] => [[3,2,1,0],[3,2,0],[3,1],[3]]
[[1,1,1],[2,4],[3]] => [[3,2,1,0],[3,1,1],[3,1],[3]]
[[1,1,1],[2,4],[4]] => [[3,2,1,0],[3,1,0],[3,1],[3]]
[[1,1,1],[3,3],[4]] => [[3,2,1,0],[3,2,0],[3,0],[3]]
[[1,1,1],[3,4],[4]] => [[3,2,1,0],[3,1,0],[3,0],[3]]
[[1,1,2],[2,2],[4]] => [[3,2,1,0],[3,2,0],[3,2],[2]]
[[1,1,2],[2,3],[4]] => [[3,2,1,0],[3,2,0],[3,1],[2]]
[[1,1,2],[2,4],[3]] => [[3,2,1,0],[3,1,1],[3,1],[2]]
[[1,1,3],[2,2],[4]] => [[3,2,1,0],[3,2,0],[2,2],[2]]
[[1,1,4],[2,2],[3]] => [[3,2,1,0],[2,2,1],[2,2],[2]]
[[1,1,2],[2,4],[4]] => [[3,2,1,0],[3,1,0],[3,1],[2]]
[[1,1,4],[2,2],[4]] => [[3,2,1,0],[2,2,0],[2,2],[2]]
[[1,1,2],[3,3],[4]] => [[3,2,1,0],[3,2,0],[3,0],[2]]
[[1,1,3],[2,3],[4]] => [[3,2,1,0],[3,2,0],[2,1],[2]]
[[1,1,3],[2,4],[3]] => [[3,2,1,0],[3,1,1],[2,1],[2]]
[[1,1,4],[2,3],[3]] => [[3,2,1,0],[2,2,1],[2,1],[2]]
[[1,1,2],[3,4],[4]] => [[3,2,1,0],[3,1,0],[3,0],[2]]
[[1,1,3],[2,4],[4]] => [[3,2,1,0],[3,1,0],[2,1],[2]]
[[1,1,4],[2,3],[4]] => [[3,2,1,0],[2,2,0],[2,1],[2]]
[[1,1,4],[2,4],[3]] => [[3,2,1,0],[2,1,1],[2,1],[2]]
[[1,1,4],[2,4],[4]] => [[3,2,1,0],[2,1,0],[2,1],[2]]
[[1,1,3],[3,3],[4]] => [[3,2,1,0],[3,2,0],[2,0],[2]]
[[1,1,3],[3,4],[4]] => [[3,2,1,0],[3,1,0],[2,0],[2]]
[[1,1,4],[3,3],[4]] => [[3,2,1,0],[2,2,0],[2,0],[2]]
[[1,1,4],[3,4],[4]] => [[3,2,1,0],[2,1,0],[2,0],[2]]
[[1,2,2],[2,3],[4]] => [[3,2,1,0],[3,2,0],[3,1],[1]]
[[1,2,2],[2,4],[3]] => [[3,2,1,0],[3,1,1],[3,1],[1]]
[[1,2,2],[2,4],[4]] => [[3,2,1,0],[3,1,0],[3,1],[1]]
[[1,2,2],[3,3],[4]] => [[3,2,1,0],[3,2,0],[3,0],[1]]
[[1,2,3],[2,3],[4]] => [[3,2,1,0],[3,2,0],[2,1],[1]]
[[1,2,3],[2,4],[3]] => [[3,2,1,0],[3,1,1],[2,1],[1]]
[[1,2,4],[2,3],[3]] => [[3,2,1,0],[2,2,1],[2,1],[1]]
[[1,2,2],[3,4],[4]] => [[3,2,1,0],[3,1,0],[3,0],[1]]
[[1,2,3],[2,4],[4]] => [[3,2,1,0],[3,1,0],[2,1],[1]]
[[1,2,4],[2,3],[4]] => [[3,2,1,0],[2,2,0],[2,1],[1]]
[[1,2,4],[2,4],[3]] => [[3,2,1,0],[2,1,1],[2,1],[1]]
[[1,2,4],[2,4],[4]] => [[3,2,1,0],[2,1,0],[2,1],[1]]
[[1,2,3],[3,3],[4]] => [[3,2,1,0],[3,2,0],[2,0],[1]]
[[1,3,3],[2,4],[3]] => [[3,2,1,0],[3,1,1],[1,1],[1]]
[[1,2,3],[3,4],[4]] => [[3,2,1,0],[3,1,0],[2,0],[1]]
[[1,2,4],[3,3],[4]] => [[3,2,1,0],[2,2,0],[2,0],[1]]
[[1,3,3],[2,4],[4]] => [[3,2,1,0],[3,1,0],[1,1],[1]]
[[1,3,4],[2,4],[3]] => [[3,2,1,0],[2,1,1],[1,1],[1]]
[[1,2,4],[3,4],[4]] => [[3,2,1,0],[2,1,0],[2,0],[1]]
[[1,3,4],[2,4],[4]] => [[3,2,1,0],[2,1,0],[1,1],[1]]
[[1,3,3],[3,4],[4]] => [[3,2,1,0],[3,1,0],[1,0],[1]]
[[1,3,4],[3,4],[4]] => [[3,2,1,0],[2,1,0],[1,0],[1]]
[[2,2,2],[3,3],[4]] => [[3,2,1,0],[3,2,0],[3,0],[0]]
[[2,2,2],[3,4],[4]] => [[3,2,1,0],[3,1,0],[3,0],[0]]
[[2,2,3],[3,3],[4]] => [[3,2,1,0],[3,2,0],[2,0],[0]]
[[2,2,3],[3,4],[4]] => [[3,2,1,0],[3,1,0],[2,0],[0]]
[[2,2,4],[3,3],[4]] => [[3,2,1,0],[2,2,0],[2,0],[0]]
[[2,2,4],[3,4],[4]] => [[3,2,1,0],[2,1,0],[2,0],[0]]
[[2,3,3],[3,4],[4]] => [[3,2,1,0],[3,1,0],[1,0],[0]]
[[2,3,4],[3,4],[4]] => [[3,2,1,0],[2,1,0],[1,0],[0]]
[[1,1,1],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[3,1],[3]]
[[1,1,2],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[3,1],[2]]
[[1,1,3],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[2,1],[2]]
[[1,1,4],[2],[3],[4]] => [[3,1,1,1],[2,1,1],[2,1],[2]]
[[1,2,2],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[3,1],[1]]
[[1,2,3],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[2,1],[1]]
[[1,2,4],[2],[3],[4]] => [[3,1,1,1],[2,1,1],[2,1],[1]]
[[1,3,3],[2],[3],[4]] => [[3,1,1,1],[3,1,1],[1,1],[1]]
[[1,3,4],[2],[3],[4]] => [[3,1,1,1],[2,1,1],[1,1],[1]]
[[1,4,4],[2],[3],[4]] => [[3,1,1,1],[1,1,1],[1,1],[1]]
[[1,1],[2,2],[3,4]] => [[2,2,2,0],[2,2,1],[2,2],[2]]
[[1,1],[2,2],[4,4]] => [[2,2,2,0],[2,2,0],[2,2],[2]]
[[1,1],[2,3],[3,4]] => [[2,2,2,0],[2,2,1],[2,1],[2]]
[[1,1],[2,3],[4,4]] => [[2,2,2,0],[2,2,0],[2,1],[2]]
[[1,1],[3,3],[4,4]] => [[2,2,2,0],[2,2,0],[2,0],[2]]
[[1,2],[2,3],[3,4]] => [[2,2,2,0],[2,2,1],[2,1],[1]]
[[1,2],[2,3],[4,4]] => [[2,2,2,0],[2,2,0],[2,1],[1]]
[[1,2],[3,3],[4,4]] => [[2,2,2,0],[2,2,0],[2,0],[1]]
[[2,2],[3,3],[4,4]] => [[2,2,2,0],[2,2,0],[2,0],[0]]
[[1,1],[2,2],[3],[4]] => [[2,2,1,1],[2,2,1],[2,2],[2]]
[[1,1],[2,3],[3],[4]] => [[2,2,1,1],[2,2,1],[2,1],[2]]
[[1,1],[2,4],[3],[4]] => [[2,2,1,1],[2,1,1],[2,1],[2]]
[[1,2],[2,3],[3],[4]] => [[2,2,1,1],[2,2,1],[2,1],[1]]
[[1,2],[2,4],[3],[4]] => [[2,2,1,1],[2,1,1],[2,1],[1]]
[[1,3],[2,4],[3],[4]] => [[2,2,1,1],[2,1,1],[1,1],[1]]
[[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]] => [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,3,4,6],[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],[5],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]
[[1,2,3,5,6],[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],[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]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[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]]
[[1,2,3,6],[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],[4],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4,5,6],[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],[3,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,4,6],[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],[3,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,4,5],[3],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,4,6],[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],[3],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,3,6],[4,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,3],[4,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[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],[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],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,2,3],[4,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,4],[3,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[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],[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]]
[[1,3,4,5,6],[2]] => [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,4,5],[2,6]] => [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,4,6],[2,5]] => [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,4],[2,5],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,5,6],[2,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3,4],[2,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,6],[2,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3],[2,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3,4,5],[2],[6]] => [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,4,6],[2],[5]] => [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,4],[2],[5],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,5,6],[2],[4]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2,6],[4]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3,5],[2],[4],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3,4],[2,6],[5]] => [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]
[[1,3,6],[2],[4],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3],[2],[4],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,2,5,6],[3,4]] => [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,2,5],[3,4,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,2,5],[3,4],[6]] => [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,2,4],[3,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]
[[1,2,6],[3,4],[5]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,2],[3,4],[5],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,4,5,6],[2],[3]] => [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,5],[2,6],[3]] => [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,6],[2,5],[3]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4],[2,5],[3,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4],[2,5],[3],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,5],[2],[3],[6]] => [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4,6],[2],[3],[5]] => [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,4],[2],[3],[5],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,2,3],[4,5,6]] => [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]
[[1,2,6],[3,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,2],[3,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3,6],[2,5],[4]] => [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3],[2,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,3],[2,5],[4],[6]] => [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,2],[3,5],[4,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,5,6],[2],[3],[4]] => [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,5],[2,6],[3],[4]] => [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,5],[2],[3],[4],[6]] => [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,2],[3,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]
[[1,3],[2,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]
[[1,3],[2,6],[4],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]
[[1,2],[3,4],[5,6]] => [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]
[[1,4],[2,6],[3],[5]] => [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]
[[1,6],[2],[3],[4],[5]] => [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1],[2],[3],[4],[5],[6]] => [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]
[[1,1,1,1,1,1,2]] => [[7,0],[6]]
[[1,1,1,1,1,2,2]] => [[7,0],[5]]
[[1,1,1,1,2,2,2]] => [[7,0],[4]]
[[1,1,1,2,2,2,2]] => [[7,0],[3]]
[[1,1,2,2,2,2,2]] => [[7,0],[2]]
[[1,2,2,2,2,2,2]] => [[7,0],[1]]
[[2,2,2,2,2,2,2]] => [[7,0],[0]]
[[1,1,1,1,1,1],[2]] => [[6,1],[6]]
[[1,1,1,1,1,2],[2]] => [[6,1],[5]]
[[1,1,1,1,2,2],[2]] => [[6,1],[4]]
[[1,1,1,2,2,2],[2]] => [[6,1],[3]]
[[1,1,2,2,2,2],[2]] => [[6,1],[2]]
[[1,2,2,2,2,2],[2]] => [[6,1],[1]]
[[1,1,1,1,1],[2,2]] => [[5,2],[5]]
[[1,1,1,1,2],[2,2]] => [[5,2],[4]]
[[1,1,1,2,2],[2,2]] => [[5,2],[3]]
[[1,1,2,2,2],[2,2]] => [[5,2],[2]]
[[1,1,1,1],[2,2,2]] => [[4,3],[4]]
[[1,1,1,2],[2,2,2]] => [[4,3],[3]]
[[1,1,1,1,1,1,3]] => [[7,0,0],[6,0],[6]]
[[1,1,1,1,1,2,3]] => [[7,0,0],[6,0],[5]]
[[1,1,1,1,1,3,3]] => [[7,0,0],[5,0],[5]]
[[1,1,1,1,2,2,3]] => [[7,0,0],[6,0],[4]]
[[1,1,1,1,2,3,3]] => [[7,0,0],[5,0],[4]]
[[1,1,1,1,3,3,3]] => [[7,0,0],[4,0],[4]]
[[1,1,1,2,2,2,3]] => [[7,0,0],[6,0],[3]]
[[1,1,1,2,2,3,3]] => [[7,0,0],[5,0],[3]]
[[1,1,1,2,3,3,3]] => [[7,0,0],[4,0],[3]]
[[1,1,1,3,3,3,3]] => [[7,0,0],[3,0],[3]]
[[1,1,2,2,2,2,3]] => [[7,0,0],[6,0],[2]]
[[1,1,2,2,2,3,3]] => [[7,0,0],[5,0],[2]]
[[1,1,2,2,3,3,3]] => [[7,0,0],[4,0],[2]]
[[1,1,2,3,3,3,3]] => [[7,0,0],[3,0],[2]]
[[1,1,3,3,3,3,3]] => [[7,0,0],[2,0],[2]]
[[1,2,2,2,2,2,3]] => [[7,0,0],[6,0],[1]]
[[1,2,2,2,2,3,3]] => [[7,0,0],[5,0],[1]]
[[1,2,2,2,3,3,3]] => [[7,0,0],[4,0],[1]]
[[1,2,2,3,3,3,3]] => [[7,0,0],[3,0],[1]]
[[1,2,3,3,3,3,3]] => [[7,0,0],[2,0],[1]]
[[1,3,3,3,3,3,3]] => [[7,0,0],[1,0],[1]]
[[2,2,2,2,2,2,3]] => [[7,0,0],[6,0],[0]]
[[2,2,2,2,2,3,3]] => [[7,0,0],[5,0],[0]]
[[2,2,2,2,3,3,3]] => [[7,0,0],[4,0],[0]]
[[2,2,2,3,3,3,3]] => [[7,0,0],[3,0],[0]]
[[2,2,3,3,3,3,3]] => [[7,0,0],[2,0],[0]]
[[2,3,3,3,3,3,3]] => [[7,0,0],[1,0],[0]]
[[3,3,3,3,3,3,3]] => [[7,0,0],[0,0],[0]]
[[1,1,1,1,1,1],[3]] => [[6,1,0],[6,0],[6]]
[[1,1,1,1,1,2],[3]] => [[6,1,0],[6,0],[5]]
[[1,1,1,1,1,3],[2]] => [[6,1,0],[5,1],[5]]
[[1,1,1,1,1,3],[3]] => [[6,1,0],[5,0],[5]]
[[1,1,1,1,2,2],[3]] => [[6,1,0],[6,0],[4]]
[[1,1,1,1,2,3],[2]] => [[6,1,0],[5,1],[4]]
[[1,1,1,1,2,3],[3]] => [[6,1,0],[5,0],[4]]
[[1,1,1,1,3,3],[2]] => [[6,1,0],[4,1],[4]]
[[1,1,1,1,3,3],[3]] => [[6,1,0],[4,0],[4]]
[[1,1,1,2,2,2],[3]] => [[6,1,0],[6,0],[3]]
[[1,1,1,2,2,3],[2]] => [[6,1,0],[5,1],[3]]
[[1,1,1,2,2,3],[3]] => [[6,1,0],[5,0],[3]]
[[1,1,1,2,3,3],[2]] => [[6,1,0],[4,1],[3]]
[[1,1,1,2,3,3],[3]] => [[6,1,0],[4,0],[3]]
[[1,1,1,3,3,3],[2]] => [[6,1,0],[3,1],[3]]
[[1,1,1,3,3,3],[3]] => [[6,1,0],[3,0],[3]]
[[1,1,2,2,2,2],[3]] => [[6,1,0],[6,0],[2]]
[[1,1,2,2,2,3],[2]] => [[6,1,0],[5,1],[2]]
[[1,1,2,2,2,3],[3]] => [[6,1,0],[5,0],[2]]
[[1,1,2,2,3,3],[2]] => [[6,1,0],[4,1],[2]]
[[1,1,2,2,3,3],[3]] => [[6,1,0],[4,0],[2]]
[[1,1,2,3,3,3],[2]] => [[6,1,0],[3,1],[2]]
[[1,1,2,3,3,3],[3]] => [[6,1,0],[3,0],[2]]
[[1,1,3,3,3,3],[2]] => [[6,1,0],[2,1],[2]]
[[1,1,3,3,3,3],[3]] => [[6,1,0],[2,0],[2]]
[[1,2,2,2,2,2],[3]] => [[6,1,0],[6,0],[1]]
[[1,2,2,2,2,3],[2]] => [[6,1,0],[5,1],[1]]
[[1,2,2,2,2,3],[3]] => [[6,1,0],[5,0],[1]]
[[1,2,2,2,3,3],[2]] => [[6,1,0],[4,1],[1]]
[[1,2,2,2,3,3],[3]] => [[6,1,0],[4,0],[1]]
[[1,2,2,3,3,3],[2]] => [[6,1,0],[3,1],[1]]
[[1,2,2,3,3,3],[3]] => [[6,1,0],[3,0],[1]]
[[1,2,3,3,3,3],[2]] => [[6,1,0],[2,1],[1]]
[[1,2,3,3,3,3],[3]] => [[6,1,0],[2,0],[1]]
[[1,3,3,3,3,3],[2]] => [[6,1,0],[1,1],[1]]
[[1,3,3,3,3,3],[3]] => [[6,1,0],[1,0],[1]]
[[2,2,2,2,2,2],[3]] => [[6,1,0],[6,0],[0]]
[[2,2,2,2,2,3],[3]] => [[6,1,0],[5,0],[0]]
[[2,2,2,2,3,3],[3]] => [[6,1,0],[4,0],[0]]
[[2,2,2,3,3,3],[3]] => [[6,1,0],[3,0],[0]]
[[2,2,3,3,3,3],[3]] => [[6,1,0],[2,0],[0]]
[[2,3,3,3,3,3],[3]] => [[6,1,0],[1,0],[0]]
[[1,1,1,1,1],[2,3]] => [[5,2,0],[5,1],[5]]
[[1,1,1,1,1],[3,3]] => [[5,2,0],[5,0],[5]]
[[1,1,1,1,2],[2,3]] => [[5,2,0],[5,1],[4]]
[[1,1,1,1,3],[2,2]] => [[5,2,0],[4,2],[4]]
[[1,1,1,1,2],[3,3]] => [[5,2,0],[5,0],[4]]
[[1,1,1,1,3],[2,3]] => [[5,2,0],[4,1],[4]]
[[1,1,1,1,3],[3,3]] => [[5,2,0],[4,0],[4]]
[[1,1,1,2,2],[2,3]] => [[5,2,0],[5,1],[3]]
[[1,1,1,2,3],[2,2]] => [[5,2,0],[4,2],[3]]
[[1,1,1,2,2],[3,3]] => [[5,2,0],[5,0],[3]]
[[1,1,1,2,3],[2,3]] => [[5,2,0],[4,1],[3]]
[[1,1,1,3,3],[2,2]] => [[5,2,0],[3,2],[3]]
[[1,1,1,2,3],[3,3]] => [[5,2,0],[4,0],[3]]
[[1,1,1,3,3],[2,3]] => [[5,2,0],[3,1],[3]]
[[1,1,1,3,3],[3,3]] => [[5,2,0],[3,0],[3]]
[[1,1,2,2,2],[2,3]] => [[5,2,0],[5,1],[2]]
[[1,1,2,2,3],[2,2]] => [[5,2,0],[4,2],[2]]
[[1,1,2,2,2],[3,3]] => [[5,2,0],[5,0],[2]]
[[1,1,2,2,3],[2,3]] => [[5,2,0],[4,1],[2]]
[[1,1,2,3,3],[2,2]] => [[5,2,0],[3,2],[2]]
[[1,1,2,2,3],[3,3]] => [[5,2,0],[4,0],[2]]
[[1,1,2,3,3],[2,3]] => [[5,2,0],[3,1],[2]]
[[1,1,3,3,3],[2,2]] => [[5,2,0],[2,2],[2]]
[[1,1,2,3,3],[3,3]] => [[5,2,0],[3,0],[2]]
[[1,1,3,3,3],[2,3]] => [[5,2,0],[2,1],[2]]
[[1,1,3,3,3],[3,3]] => [[5,2,0],[2,0],[2]]
[[1,2,2,2,2],[2,3]] => [[5,2,0],[5,1],[1]]
[[1,2,2,2,2],[3,3]] => [[5,2,0],[5,0],[1]]
[[1,2,2,2,3],[2,3]] => [[5,2,0],[4,1],[1]]
[[1,2,2,2,3],[3,3]] => [[5,2,0],[4,0],[1]]
[[1,2,2,3,3],[2,3]] => [[5,2,0],[3,1],[1]]
[[1,2,2,3,3],[3,3]] => [[5,2,0],[3,0],[1]]
[[1,2,3,3,3],[2,3]] => [[5,2,0],[2,1],[1]]
[[1,2,3,3,3],[3,3]] => [[5,2,0],[2,0],[1]]
[[2,2,2,2,2],[3,3]] => [[5,2,0],[5,0],[0]]
[[2,2,2,2,3],[3,3]] => [[5,2,0],[4,0],[0]]
[[2,2,2,3,3],[3,3]] => [[5,2,0],[3,0],[0]]
[[2,2,3,3,3],[3,3]] => [[5,2,0],[2,0],[0]]
[[1,1,1,1,1],[2],[3]] => [[5,1,1],[5,1],[5]]
[[1,1,1,1,2],[2],[3]] => [[5,1,1],[5,1],[4]]
[[1,1,1,1,3],[2],[3]] => [[5,1,1],[4,1],[4]]
[[1,1,1,2,2],[2],[3]] => [[5,1,1],[5,1],[3]]
[[1,1,1,2,3],[2],[3]] => [[5,1,1],[4,1],[3]]
[[1,1,1,3,3],[2],[3]] => [[5,1,1],[3,1],[3]]
[[1,1,2,2,2],[2],[3]] => [[5,1,1],[5,1],[2]]
[[1,1,2,2,3],[2],[3]] => [[5,1,1],[4,1],[2]]
[[1,1,2,3,3],[2],[3]] => [[5,1,1],[3,1],[2]]
[[1,1,3,3,3],[2],[3]] => [[5,1,1],[2,1],[2]]
[[1,2,2,2,2],[2],[3]] => [[5,1,1],[5,1],[1]]
[[1,2,2,2,3],[2],[3]] => [[5,1,1],[4,1],[1]]
[[1,2,2,3,3],[2],[3]] => [[5,1,1],[3,1],[1]]
[[1,2,3,3,3],[2],[3]] => [[5,1,1],[2,1],[1]]
[[1,3,3,3,3],[2],[3]] => [[5,1,1],[1,1],[1]]
[[1,1,1,1],[2,2,3]] => [[4,3,0],[4,2],[4]]
[[1,1,1,1],[2,3,3]] => [[4,3,0],[4,1],[4]]
[[1,1,1,1],[3,3,3]] => [[4,3,0],[4,0],[4]]
[[1,1,1,2],[2,2,3]] => [[4,3,0],[4,2],[3]]
[[1,1,1,3],[2,2,2]] => [[4,3,0],[3,3],[3]]
[[1,1,1,2],[2,3,3]] => [[4,3,0],[4,1],[3]]
[[1,1,1,3],[2,2,3]] => [[4,3,0],[3,2],[3]]
[[1,1,1,2],[3,3,3]] => [[4,3,0],[4,0],[3]]
[[1,1,1,3],[2,3,3]] => [[4,3,0],[3,1],[3]]
[[1,1,1,3],[3,3,3]] => [[4,3,0],[3,0],[3]]
[[1,1,2,2],[2,2,3]] => [[4,3,0],[4,2],[2]]
[[1,1,2,2],[2,3,3]] => [[4,3,0],[4,1],[2]]
[[1,1,2,3],[2,2,3]] => [[4,3,0],[3,2],[2]]
[[1,1,2,2],[3,3,3]] => [[4,3,0],[4,0],[2]]
[[1,1,2,3],[2,3,3]] => [[4,3,0],[3,1],[2]]
[[1,1,2,3],[3,3,3]] => [[4,3,0],[3,0],[2]]
[[1,2,2,2],[2,3,3]] => [[4,3,0],[4,1],[1]]
[[1,2,2,2],[3,3,3]] => [[4,3,0],[4,0],[1]]
[[1,2,2,3],[2,3,3]] => [[4,3,0],[3,1],[1]]
[[1,2,2,3],[3,3,3]] => [[4,3,0],[3,0],[1]]
[[2,2,2,2],[3,3,3]] => [[4,3,0],[4,0],[0]]
[[2,2,2,3],[3,3,3]] => [[4,3,0],[3,0],[0]]
[[1,1,1,1],[2,2],[3]] => [[4,2,1],[4,2],[4]]
[[1,1,1,1],[2,3],[3]] => [[4,2,1],[4,1],[4]]
[[1,1,1,2],[2,2],[3]] => [[4,2,1],[4,2],[3]]
[[1,1,1,2],[2,3],[3]] => [[4,2,1],[4,1],[3]]
[[1,1,1,3],[2,2],[3]] => [[4,2,1],[3,2],[3]]
[[1,1,1,3],[2,3],[3]] => [[4,2,1],[3,1],[3]]
[[1,1,2,2],[2,2],[3]] => [[4,2,1],[4,2],[2]]
[[1,1,2,2],[2,3],[3]] => [[4,2,1],[4,1],[2]]
[[1,1,2,3],[2,2],[3]] => [[4,2,1],[3,2],[2]]
[[1,1,2,3],[2,3],[3]] => [[4,2,1],[3,1],[2]]
[[1,1,3,3],[2,2],[3]] => [[4,2,1],[2,2],[2]]
[[1,1,3,3],[2,3],[3]] => [[4,2,1],[2,1],[2]]
[[1,2,2,2],[2,3],[3]] => [[4,2,1],[4,1],[1]]
[[1,2,2,3],[2,3],[3]] => [[4,2,1],[3,1],[1]]
[[1,2,3,3],[2,3],[3]] => [[4,2,1],[2,1],[1]]
[[1,1,1],[2,2,2],[3]] => [[3,3,1],[3,3],[3]]
[[1,1,1],[2,2,3],[3]] => [[3,3,1],[3,2],[3]]
[[1,1,1],[2,3,3],[3]] => [[3,3,1],[3,1],[3]]
[[1,1,2],[2,2,3],[3]] => [[3,3,1],[3,2],[2]]
[[1,1,2],[2,3,3],[3]] => [[3,3,1],[3,1],[2]]
[[1,2,2],[2,3,3],[3]] => [[3,3,1],[3,1],[1]]
[[1,1,1],[2,2],[3,3]] => [[3,2,2],[3,2],[3]]
[[1,1,2],[2,2],[3,3]] => [[3,2,2],[3,2],[2]]
[[1,1,3],[2,2],[3,3]] => [[3,2,2],[2,2],[2]]
[[1,1,1,1,1,1,1,2]] => [[8,0],[7]]
[[1,1,1,1,1,1,2,2]] => [[8,0],[6]]
[[1,1,1,1,1,2,2,2]] => [[8,0],[5]]
[[1,1,1,1,2,2,2,2]] => [[8,0],[4]]
[[1,1,1,2,2,2,2,2]] => [[8,0],[3]]
[[1,1,2,2,2,2,2,2]] => [[8,0],[2]]
[[1,2,2,2,2,2,2,2]] => [[8,0],[1]]
[[2,2,2,2,2,2,2,2]] => [[8,0],[0]]
[[1,1,1,1,1,1,1],[2]] => [[7,1],[7]]
[[1,1,1,1,1,1,2],[2]] => [[7,1],[6]]
[[1,1,1,1,1,2,2],[2]] => [[7,1],[5]]
[[1,1,1,1,2,2,2],[2]] => [[7,1],[4]]
[[1,1,1,2,2,2,2],[2]] => [[7,1],[3]]
[[1,1,2,2,2,2,2],[2]] => [[7,1],[2]]
[[1,2,2,2,2,2,2],[2]] => [[7,1],[1]]
[[1,1,1,1,1,1],[2,2]] => [[6,2],[6]]
[[1,1,1,1,1,2],[2,2]] => [[6,2],[5]]
[[1,1,1,1,2,2],[2,2]] => [[6,2],[4]]
[[1,1,1,2,2,2],[2,2]] => [[6,2],[3]]
[[1,1,2,2,2,2],[2,2]] => [[6,2],[2]]
[[1,1,1,1,1],[2,2,2]] => [[5,3],[5]]
[[1,1,1,1,2],[2,2,2]] => [[5,3],[4]]
[[1,1,1,2,2],[2,2,2]] => [[5,3],[3]]
[[1,1,1,1],[2,2,2,2]] => [[4,4],[4]]
[[1,1,1,1],[2,2,2],[3,3],[4]] => [[4,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,2],[2,2,2],[3,3],[4]] => [[4,3,2,1],[4,3,2],[4,3],[3]]
[[1,1,1,1],[2,2,3],[3,3],[4]] => [[4,3,2,1],[4,3,2],[4,2],[4]]
[[1,1,1,2],[2,2,3],[3,3],[4]] => [[4,3,2,1],[4,3,2],[4,2],[3]]
[[1,1,1,3],[2,2,3],[3,3],[4]] => [[4,3,2,1],[4,3,2],[3,2],[3]]
[[1,1,2,2],[2,2,3],[3,3],[4]] => [[4,3,2,1],[4,3,2],[4,2],[2]]
[[1,1,2,3],[2,2,3],[3,3],[4]] => [[4,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,1,1],[2,2,2],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,3],[4]]
[[1,1,1,2],[2,2,2],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,3],[3]]
[[1,1,1,1],[2,2,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,2],[4]]
[[1,1,1,2],[2,2,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,3],[2,2,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[3,2],[3]]
[[1,1,2,2],[2,2,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,2],[2]]
[[1,1,2,3],[2,2,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,1,1],[2,2,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,2],[4]]
[[1,1,1,2],[2,2,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,2],[3]]
[[1,1,1,3],[2,2,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,4],[2,2,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,2,2],[2,2,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,2],[2]]
[[1,1,2,3],[2,2,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,4],[2,2,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,1,1],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,1],[4]]
[[1,1,1,2],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,1],[3]]
[[1,1,1,3],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[3,1],[3]]
[[1,1,2,2],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,3],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,1,1],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,2],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,3],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,4],[2,3,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,2,2],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,3],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,4],[2,3,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,3,3],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,4],[2,3,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[2,1],[2]]
[[1,2,2,2],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,3],[2,3,3],[3,4],[4]] => [[4,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,2],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,3],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,4],[2,3,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,3,3],[2,3,4],[3,4],[4]] => [[4,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,4],[2,3,4],[3,4],[4]] => [[4,3,2,1],[3,2,1],[2,1],[1]]
[[1,1,1,1,2,2,2],[3,3],[4]] => [[7,2,1,0],[7,2,0],[7,0],[4]]
[[1,1,1,2,2,2,2],[3,3],[4]] => [[7,2,1,0],[7,2,0],[7,0],[3]]
[[1,1,1,1,2,2,3],[3,3],[4]] => [[7,2,1,0],[7,2,0],[6,0],[4]]
[[1,1,1,2,2,2,3],[3,3],[4]] => [[7,2,1,0],[7,2,0],[6,0],[3]]
[[1,1,1,2,2,3,3],[3,3],[4]] => [[7,2,1,0],[7,2,0],[5,0],[3]]
[[1,1,2,2,2,2,3],[3,3],[4]] => [[7,2,1,0],[7,2,0],[6,0],[2]]
[[1,1,2,2,2,3,3],[3,3],[4]] => [[7,2,1,0],[7,2,0],[5,0],[2]]
[[1,1,1,1,2,2,2],[3,4],[4]] => [[7,2,1,0],[7,1,0],[7,0],[4]]
[[1,1,1,2,2,2,2],[3,4],[4]] => [[7,2,1,0],[7,1,0],[7,0],[3]]
[[1,1,1,1,2,2,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[6,0],[4]]
[[1,1,1,2,2,2,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[6,0],[3]]
[[1,1,1,2,2,3],[3,3,4],[4]] => [[6,3,1,0],[6,2,0],[5,0],[3]]
[[1,1,2,2,2,2,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[6,0],[2]]
[[1,1,2,2,2,3],[3,3,4],[4]] => [[6,3,1,0],[6,2,0],[5,0],[2]]
[[1,1,1,1,2,2,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[6,0],[4]]
[[1,1,1,2,2,2,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[6,0],[3]]
[[1,1,1,2,2,4,4],[3,3],[4]] => [[7,2,1,0],[5,2,0],[5,0],[3]]
[[1,1,1,2,2,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[5,0],[3]]
[[1,1,2,2,2,2,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[6,0],[2]]
[[1,1,2,2,2,4,4],[3,3],[4]] => [[7,2,1,0],[5,2,0],[5,0],[2]]
[[1,1,2,2,2,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[5,0],[2]]
[[1,1,1,1,2,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[5,0],[4]]
[[1,1,1,2,2,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[5,0],[3]]
[[1,1,1,2,3,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[4,0],[3]]
[[1,1,2,2,2,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[5,0],[2]]
[[1,1,2,2,3,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[4,0],[2]]
[[1,1,1,1,2,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[5,0],[4]]
[[1,1,1,2,2,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[5,0],[3]]
[[1,1,1,2,3,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[4,0],[3]]
[[1,1,1,2,3,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[4,0],[3]]
[[1,1,2,2,2,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[5,0],[2]]
[[1,1,2,2,3,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[4,0],[2]]
[[1,1,2,2,3,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[4,0],[2]]
[[1,1,2,3,3,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[3,0],[2]]
[[1,1,2,3,3,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[3,0],[2]]
[[1,2,2,2,2,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[5,0],[1]]
[[1,2,2,2,3,3,3],[3,4],[4]] => [[7,2,1,0],[7,1,0],[4,0],[1]]
[[1,2,2,2,2,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[5,0],[1]]
[[1,2,2,2,3,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[4,0],[1]]
[[1,2,2,2,3,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[4,0],[1]]
[[1,2,2,3,3,3,4],[3,4],[4]] => [[7,2,1,0],[6,1,0],[3,0],[1]]
[[1,2,2,3,3,4,4],[3,4],[4]] => [[7,2,1,0],[5,1,0],[3,0],[1]]
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,3],[3]]
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,3],[4,3],[3]]
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,3],[3]]
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,3],[3]]
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[4,3],[4]]
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,3],[3]]
[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,3],[3]]
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[4]]
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,2],[4]]
[[1,1,1,2,2],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[3]]
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[4]]
[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,2],[4]]
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[4,2],[3]]
[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[3,2],[3]]
[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[3]]
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[5,2],[2]]
[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,4,2],[4,2],[2]]
[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[5,2],[2]]
[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[4,2],[2]]
[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[5,3,2],[3,2],[2]]
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]] => [[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[5,3],[3]]
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,3],[4,3],[3]]
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[3]]
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[4,3],[3]]
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,2],[4]]
[[1,1,1,2,2],[2,2,3,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,2],[3]]
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[5,2],[4]]
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,2],[4,2],[3]]
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,2],[2]]
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,3],[4]]
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[4]]
[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,3],[3]]
[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[3]]
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[5]]
[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[4]]
[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[5]]
[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[4]]
[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[3]]
[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[3]]
[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[5,2],[2]]
[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,2],[4,2],[2]]
[[1,1,2,3,4],[2,2,3,4],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[5,2],[2]]
[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,2],[2]]
[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,2],[3,2],[2]]
[[1,1,2,3,4],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,3],[4]]
[[1,1,1,2,2],[2,2,2,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,3],[3]]
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[5]]
[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,3],[3]]
[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,3],[3]]
[[1,1,1,1,1],[2,2,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[4]]
[[1,1,1,2,2],[2,2,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[3]]
[[1,1,2,2,2],[2,2,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[2]]
[[1,1,2,3,4],[2,2,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[5]]
[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,4],[4]]
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,3],[5]]
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,3],[4]]
[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,3],[3]]
[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[5]]
[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[4]]
[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,3],[3]]
[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,3],[3]]
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,1],[5,2],[5]]
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,1],[5,2],[4]]
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,2],[3]]
[[1,1,1,2,4],[2,2,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,2,5],[2,2,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4],[2,2,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,5],[2,2,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[5]]
[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[4]]
[[1,1,1,3,3],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,2],[3]]
[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[5]]
[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[4]]
[[1,1,1,3,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,3,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,2],[2]]
[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,2],[2]]
[[1,1,2,3,4],[2,2,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,2],[2]]
[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,2],[2]]
[[1,1,2,3,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[5]]
[[1,1,1,1,2],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[4]]
[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[4,1],[4]]
[[1,1,1,2,2],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[3]]
[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[5]]
[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[4]]
[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[3,1],[3]]
[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[3]]
[[1,1,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[2]]
[[1,1,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[5]]
[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[4]]
[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[5]]
[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[4]]
[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[3]]
[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[3]]
[[1,1,2,2,3],[2,3,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[2]]
[[1,1,2,3,4],[2,3,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,4],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,3,4],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,1],[5]]
[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]
[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[4]]
[[1,1,1,1,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[4]]
[[1,1,1,1,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,2,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[3]]
[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[3]]
[[1,1,1,2,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,2,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[3]]
[[1,1,1,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,1,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,2,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[2]]
[[1,1,2,2,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[2]]
[[1,1,2,2,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[2]]
[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[1]]
[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,4,1],[4,1],[1]]
[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[5,1],[1]]
[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[4,1],[1]]
[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[5,3,1],[3,1],[1]]
[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]] => [[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[5,1],[1]]
[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,4,1],[4,1],[1]]
[[1,2,2,2,3],[2,3,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[1]]
[[1,2,2,3,4],[2,3,3,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[5,1],[1]]
[[1,2,2,2,4],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,3,1],[3,1],[1]]
[[1,2,2,3,4],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[5,1],[1]]
[[1,2,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[1]]
[[1,2,2,2,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[1]]
[[1,2,2,2,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]] => [[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[1]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,4],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,3],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,4,3],[5,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[6,5,3],[6,3],[3]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,3],[5,4,3],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,4],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,3],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,4,3],[5,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,3],[6,3],[3]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[5,4,3],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,5,2],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[6,4,2],[5,3],[4]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,3,2],[5,4,2],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,2],[5]]
[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,2],[4]]
[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,2],[3]]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,3,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,3,2],[6,2],[5]]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[6,3,2],[5,2],[4]]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,4,3,2],[5,3,2],[4,2],[3]]
[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[6,5,4,2],[6,5,2],[6,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]] => [[6,5,4,3,2,1],[6,5,4,3,2],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,4],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,3],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,4,3],[5,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[6,5,3],[6,3],[3]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,3],[5,4,3],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,4],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,4],[4]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,3],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,4,3],[5,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,3],[6,3],[3]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[5,4,3],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,5,2],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,2],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[6,4,2],[5,3],[4]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,3,2],[5,4,2],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,2],[5]]
[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,2],[4]]
[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,2],[3]]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,3,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,3,2],[6,2],[5]]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[6,3,2],[5,2],[4]]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,4,3,2],[5,3,2],[4,2],[3]]
[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,2],[6,5,2],[6,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,4],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,5,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[6,4],[5]]
[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[6,4,3],[5,4],[5]]
[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[5,4,3],[5,4],[5]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,4,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,2],[4,3,2],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,4],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,3],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,4],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,3,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,3],[6,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,3],[3]]
[[1,1,1,1,1,1],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,2],[5]]
[[1,1,1,1,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,2],[4]]
[[1,1,1,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,2],[3]]
[[1,1,2,2,2,2],[2,2,3,3,3],[3,3,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,2],[6,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,4],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,5,3],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[6,4,3],[5,3],[4]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,4,1],[5,4,3],[4,3],[3]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,5,2],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,2],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,2],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,2],[5,3],[4]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[5,4,2],[4,3],[3]]
[[1,1,1,1,2,4],[2,2,2,3,5],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,1],[5,4,2],[5,3],[4]]
[[1,1,1,1,2,5],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[4]]
[[1,1,1,1,2,6],[2,2,2,3,6],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,2],[5,3],[4]]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[6,3,2],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[6,3,2],[6,2],[5]]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[6,3,2],[5,2],[4]]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,4,3,1],[5,3,2],[4,2],[3]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,2],[3,2],[2]]
[[1,1,1,1,3,3],[2,2,2,4,4],[3,3,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,3,2],[4,3],[4]]
[[1,1,1,1,3,4],[2,2,2,4,5],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,3,5],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,3,6],[2,2,2,4,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,2],[4,3],[4]]
[[1,1,1,1,4,4],[2,2,2,5,5],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,4,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,4,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,5,5],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,1,1,5,6],[2,2,2,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,2],[4,3],[4]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,4,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,5,5],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,5,5],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,2,3,5,6],[2,2,3,5,6],[3,3,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,2],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,4],[5]]
[[1,1,1,1,2,2],[2,2,2,2,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,3],[5]]
[[1,1,1,1,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,3],[4]]
[[1,1,1,2,2,2],[2,2,2,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,3],[3]]
[[1,1,1,1,1,1],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,2],[5]]
[[1,1,1,1,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,2],[4]]
[[1,1,1,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,2],[3]]
[[1,1,2,2,2,2],[2,2,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,1,2,2,3],[2,2,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,1],[5,2],[3]]
[[1,1,1,2,2,4],[2,2,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,1],[5,4,1],[5,2],[3]]
[[1,1,1,2,2,5],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[3]]
[[1,1,1,2,2,6],[2,2,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,2],[3]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,2],[2]]
[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,5],[6]]
[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,5],[5]]
[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,4],[6]]
[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[6,4],[5]]
[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,5,1],[5,4],[4]]
[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,4,1],[6,3],[6]]
[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,4,1],[6,3],[5]]
[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[6,4,1],[5,3],[4]]
[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,5,2,1],[5,4,1],[4,3],[3]]
[[1,1,1,2,3,3],[2,2,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,3,1],[4,2],[3]]
[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[6,3,1],[6,2],[6]]
[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[6,3,1],[6,2],[5]]
[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[6,3,1],[5,2],[4]]
[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,3,1],[4,2],[3]]
[[1,1,1,2,3,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,3,1],[4,2],[3]]
[[1,1,1,2,3,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,2],[3]]
[[1,1,1,2,4,4],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,2,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,2,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,2,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,1,2,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,2],[3]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,5,5],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,2,3,5,6],[2,2,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,2],[2]]
[[1,1,1,3,3,3],[2,2,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,2,1],[3,2],[3]]
[[1,1,1,3,3,4],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,2,1],[3,2],[3]]
[[1,1,1,3,3,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,2,1],[3,2],[3]]
[[1,1,1,3,3,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,2],[3]]
[[1,1,1,3,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,3,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,3,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,3,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,3,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[3]]
[[1,1,1,4,4,4],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,1,4,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,1,4,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,1,4,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,1,4,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[3]]
[[1,1,2,3,4,5],[2,2,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,3,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,2],[2]]
[[1,1,2,4,4,5],[2,2,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,2,4,4,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,2,4,4,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,2,4,5,5],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,2,4,5,6],[2,2,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,2],[2]]
[[1,1,1,1,1,1],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[6]]
[[1,1,1,1,1,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[5]]
[[1,1,1,1,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[4]]
[[1,1,1,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[3]]
[[1,1,2,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,1],[5,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,2,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,1],[5,4,1],[5,1],[2]]
[[1,1,2,2,2,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[2]]
[[1,1,2,2,2,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,3,1],[4,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,3,1],[4,1],[2]]
[[1,1,2,2,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[2]]
[[1,1,2,2,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,2,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,2,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,2,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,2,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,2,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[2]]
[[1,1,2,3,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,2,3,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[2]]
[[1,1,1,1,1,1],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[6]]
[[1,1,1,1,1,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[5]]
[[1,1,1,1,1,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[5]]
[[1,1,1,1,1,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[5,1],[5]]
[[1,1,1,1,1,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]
[[1,1,1,1,1,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[5]]
[[1,1,1,1,2,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[4]]
[[1,1,1,1,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[4]]
[[1,1,1,1,2,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[5,1],[4]]
[[1,1,1,1,2,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[4]]
[[1,1,1,1,2,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[4]]
[[1,1,1,1,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[4,1],[4]]
[[1,1,1,1,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[4,1],[4]]
[[1,1,1,1,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[4]]
[[1,1,1,1,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[4]]
[[1,1,1,1,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,1,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[4]]
[[1,1,1,2,2,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[3]]
[[1,1,1,2,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[3]]
[[1,1,1,2,2,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[5,1],[3]]
[[1,1,1,2,2,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[3]]
[[1,1,1,2,2,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[3]]
[[1,1,1,2,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[4,1],[3]]
[[1,1,1,2,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[4,1],[3]]
[[1,1,1,2,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[3]]
[[1,1,1,2,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[3]]
[[1,1,1,2,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,2,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,2,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,2,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,2,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[3]]
[[1,1,1,3,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[3,1],[3]]
[[1,1,1,3,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[3,1],[3]]
[[1,1,1,3,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[3]]
[[1,1,1,3,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[3]]
[[1,1,1,3,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,3,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,3,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,3,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[3]]
[[1,1,1,4,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,1,4,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,1,4,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,1,4,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,1,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[3]]
[[1,1,2,3,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,2,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,2,2,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[2]]
[[1,1,2,2,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[2]]
[[1,1,2,2,2,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[5,1],[2]]
[[1,1,2,2,2,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[2]]
[[1,1,2,2,2,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[2]]
[[1,1,2,2,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[4,1],[2]]
[[1,1,2,2,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[4,1],[2]]
[[1,1,2,2,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[2]]
[[1,1,2,2,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[2]]
[[1,1,2,2,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,2,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,2,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,2,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,2,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[2]]
[[1,1,2,3,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[3,1],[2]]
[[1,1,2,3,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[2]]
[[1,1,2,3,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,3,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[2]]
[[1,1,2,4,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,2,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[2]]
[[1,1,3,3,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,2,1],[2,1],[2]]
[[1,1,3,3,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[2,1],[2]]
[[1,1,3,3,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[2]]
[[1,1,3,3,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,3,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[2]]
[[1,1,3,4,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[2]]
[[1,1,3,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[2]]
[[1,2,2,2,2,2],[2,3,3,3,3],[3,4,4,4],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[6,5,4,1],[6,5,1],[6,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,5],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,3,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,2,3],[2,3,3,3,4],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,3,1],[6,4,1],[5,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,5],[3,4,4,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,2,4],[2,3,3,3,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,3,1],[5,4,1],[5,1],[1]]
[[1,2,2,2,2,5],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[1]]
[[1,2,2,2,2,6],[2,3,3,3,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[5,4,1],[5,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,5],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,6],[2,3,3,4,6],[3,4,4,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,3,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,3,3],[2,3,3,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,3,1],[4,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,3,4],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,3,1],[4,1],[1]]
[[1,2,2,2,3,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[1]]
[[1,2,2,2,3,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,3,1],[4,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,6],[2,3,3,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,2,4,4],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,2,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,2,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,2,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,2,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[4,1],[1]]
[[1,2,2,3,4,5],[2,3,3,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,4,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,5,5],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,5,6],[2,3,3,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,3,1],[3,1],[1]]
[[1,2,2,3,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,2,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,2,2,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[6,1],[1]]
[[1,2,2,2,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[5,1],[1]]
[[1,2,2,2,2,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[5,1],[1]]
[[1,2,2,2,2,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[1]]
[[1,2,2,2,2,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[5,1],[1]]
[[1,2,2,2,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[4,1],[1]]
[[1,2,2,2,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[4,1],[1]]
[[1,2,2,2,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[1]]
[[1,2,2,2,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[4,1],[1]]
[[1,2,2,2,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,2,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,2,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,2,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,2,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[4,1],[1]]
[[1,2,2,3,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[3,1],[1]]
[[1,2,2,3,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[3,1],[1]]
[[1,2,2,3,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,3,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[3,1],[1]]
[[1,2,2,4,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,2,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[3,1],[1]]
[[1,2,3,3,3,3],[2,3,4,4,4],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[6,5,2,1],[6,2,1],[2,1],[1]]
[[1,2,3,3,4,5],[2,3,4,4,5],[3,4,5,5],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,4,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,3,4],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,4,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,4,5],[2,3,4,4,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,3,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,3,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,4,5],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,4,6],[2,3,4,4,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,4,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,3,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[6,2,1],[2,1],[1]]
[[1,2,3,3,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,3,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,3,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[5,2,1],[2,1],[1]]
[[1,2,3,3,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,3,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[4,2,1],[2,1],[1]]
[[1,2,3,4,4,4],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[6,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,4,5],[2,3,4,5,5],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,5,3,2,1],[5,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,4,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[6,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,4,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[5,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,5,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[6,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[1]]
[[1,2,3,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]] => [[6,5,4,3,2,1],[5,4,3,2,1],[4,3,2,1],[3,2,1],[2,1],[1]]
Description
Return the Gelfand-Tsetlin pattern corresponding to the semistandard tableau.
Properties
injective, graded
Sage code
def mapping(elt):
    from sage.combinat.gelfand_tsetlin_patterns import GelfandTsetlinPatterns
    return GelfandTsetlinPatterns()(elt)

Weight
26
Created
May 13, 2019 at 22:31 by Christian Stump
Updated
Jan 26, 2020 at 12:32 by Martin Rubey