Identifier
Mp00075:
Semistandard tableaux
—reading word permutation⟶
Permutations
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00164: Set partitions —Chen Deng Du Stanley Yan⟶ Set partitions
Mp00151: Permutations —to cycle type⟶ Set partitions
Mp00164: Set partitions —Chen Deng Du Stanley Yan⟶ Set partitions
Images
=>
Cc0019;cc-rep-0Cc0009;cc-rep-2Cc0009;cc-rep-3
[[1,2]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,2]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[2]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,3]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,3]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,3]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[3]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[3]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,2]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,2]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,2]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[2]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,4]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,4]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,4]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[4,4]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[4]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[4]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[3],[4]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,3,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,3,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,3,3]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[3]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[3]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,3],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,3],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,2],[3]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,3],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1],[2],[3]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1,1,1,2]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,2,2]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,2,2]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,2,2]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,1],[2]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,2],[2]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,2,2],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,1],[2,2]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,5]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,5]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,5]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[4,5]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[5,5]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[5]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[5]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[3],[5]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[4],[5]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,3,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,4,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,3,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,4,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,3,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,4,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,4,4]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,4],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,3],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,4],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,4],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,2],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,3],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,4],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,4],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,3],[4]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,4],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1],[2],[4]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[3],[4]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[3],[4]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1,1,1,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,2,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,2,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,2,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,3,3]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,1],[3]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,2],[3]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,3],[2]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,3],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,2,2],[3]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,3],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,3],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,3,3],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,3],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,2,2],[3]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,3],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,3,3],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,1],[2,3]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[3,3]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,2],[2,3]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[3,3]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[3,3]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[2],[3]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[2],[3]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,3],[2],[3]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,1,1,1,2]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,2,2]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,2,2]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,2,2]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,2,2]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,1],[2]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,2],[2]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,2,2],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,2,2,2],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,1,1],[2,2]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[2,2]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[4,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[5,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[6,6]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[6]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[6]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[3],[6]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[4],[6]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[5],[6]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,3,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,4,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,5,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,3,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,4,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,5,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,3,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,4,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,5,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,4,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,5,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,5,5]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,5],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,3],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,5],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,4],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,5],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,5],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,2],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,3],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,5],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,4],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,5],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,5],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,3],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,4],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,5],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,5],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,4],[5]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,5],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1],[2],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[3],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[4],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[3],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[4],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[4],[5]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1,1,1,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,2,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,2,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,2,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,3,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,4,4]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,1],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,2],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,4],[2]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,4],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,2,2],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,4],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,4],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,3,4],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,4],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,4],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,4],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,4],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,2,2],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,4],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,3,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,4],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,4,4],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,4],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,3,3],[4]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,4],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,4,4],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,1],[2,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[3,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,2],[2,4]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[3,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[2,4]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[3,4]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[3,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,3],[3,4]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[4,4]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[2],[4]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[3],[4]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[2],[4]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,2],[3],[4]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[2],[4]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,4],[2],[3]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,4],[2],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,3],[3],[4]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,4],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,2],[3],[4]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[3],[4]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,4],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1],[2],[3],[4]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1,1,1,1,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,2,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,2,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,2,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,2,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,3,3]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,1],[3]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,2],[3]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,3],[2]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,3],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,2,2],[3]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,3],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,3],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,3,3],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,3],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,2,2,2],[3]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,3],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,3],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3,3],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,3],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,3,3],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,3],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,2,2,2],[3]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,3],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,3,3],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,3,3,3],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,1,1],[2,3]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[3,3]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[2,3]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,3],[2,2]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[3,3]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3],[2,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,2,2],[2,3]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2],[3,3]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3],[2,3]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,2],[3,3]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,1],[2],[3]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,2],[2],[3]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3],[2],[3]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[2],[3]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,3],[2],[3]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,3,3],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,1],[2,2],[3]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,3],[3]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,2],[2,3],[3]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,1,1,1],[2,2]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,1],[2,2,2]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[4,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[5,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[6,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[7,7]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[3],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[4],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[5],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[6],[7]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,3,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,4,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,5,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,3,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,4,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,5,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,3,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,4,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,5,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,4,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,5,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,5,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[6,6,6]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,6],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,3],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,6],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,4],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,6],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,5],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,6],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,6],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,2],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,3],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,6],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,4],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,6],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,5],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,6],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,6],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,3],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,4],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,6],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,5],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,6],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,6],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,4],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,5],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,6],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,6],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[5,5],[6]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[5,6],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1],[2],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[3],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[4],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[5],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[3],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[4],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[5],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[4],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[5],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[4],[5],[6]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1,1,1,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,2,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,2,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,5,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,2,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,5,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,3,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,5,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,4,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,5,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[5,5,5,5]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,1],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,2],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,5],[2]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,5],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,2,2],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,5],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,5],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,3,5],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,5],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,5],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,5,5],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,2,2],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,5],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,3,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,4,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,5,5],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,5,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,5,5],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,3,3],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,5],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,3,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,4,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,4,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,5,5],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,5,5],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[4,4,4],[5]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,4,5],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[4,5,5],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,1],[2,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[3,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,2],[2,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[3,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[2,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[2,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[3,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[3,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[4,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[3,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,3],[3,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,4],[3,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,4],[4,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[4,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,4],[4,5]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[4,4],[5,5]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[2],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[3],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[2],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,2],[3],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[2],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,5],[2],[3]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,2],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[2],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,5],[2],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,5],[2],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,3],[3],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,3],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[3],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,5],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,5],[3],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,4],[4],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,5],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,2],[3],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[3],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,3],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4],[3],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,5],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,5],[3],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,4],[4],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,5],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[3,3],[4],[5]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4],[4],[5]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[3,5],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1],[2],[3],[5]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[2],[4],[5]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[3],[4],[5]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[2],[3],[4],[5]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1,1,1,1,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,2,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,2,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,2,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,4,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,2,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,4,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,3,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,4,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[4,4,4,4,4]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,1],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,2],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,4],[2]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,4],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,2,2],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,4],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,4],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,3,4],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4,4],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,2,2,2],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,4],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,3,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,4,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,4,4],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,4,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,4,4,4],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,2,2,2],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,4],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,2,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,4,4],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,3,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,3,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,4,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,4,4,4],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,4,4,4],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[3,3,3,3],[4]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,3,4],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,3,4,4],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[3,4,4,4],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,1,1],[2,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[3,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[2,4]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,4],[2,2]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[3,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3],[2,4]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,4],[2,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[2,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[3,4]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,4],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,2,2],[2,4]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2],[3,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3],[2,4]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[2,3]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[2,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3],[3,4]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,2,4],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,3],[2,4]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,4],[2,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,3],[3,4]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,4],[3,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,2],[3,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3],[3,4]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[2,2,4],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,4],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,3,3],[3,4]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,4],[3,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[3,3,3],[4,4]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,4],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,1],[2],[4]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,1],[3],[4]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,2],[2],[4]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[3],[4]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,3],[2],[4]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[2],[3]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4],[2],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,3],[3],[4]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[2],[4]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,2],[3],[4]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,2,3],[2],[4]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,4],[2],[3]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,2,4],[2],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,2,3],[3],[4]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3],[2],[4]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,4],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,2,4],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4],[2],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,4,4],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,4,4],[2],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,3,3],[3],[4]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,4],[3],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,4,4],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[2,2,2],[3],[4]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[2,2,3],[3],[4]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,4],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,3],[3],[4]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,3,4],[3],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[2,4,4],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,1],[2,2],[4]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,3],[4]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,4],[3]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[2,4],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[3,3],[4]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[3,4],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,2],[2,3],[4]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[2,4],[3]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[2,4],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[3,3],[4]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3],[2,4],[3]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[3,4],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,3],[2,4],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,3],[3,4],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[2,2],[3,3],[4]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2],[3,4],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[2,3],[3,4],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,3,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,2,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,3,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,3,3,3,3,3]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,1],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,2],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,3],[2]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,1,3],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2,2],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,2,3],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,2,3],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,3,3],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,3,3],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,2,2,2],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,2,3],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,2,3],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,3,3],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,3,3],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,3,3,3],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,3,3,3],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,2,3],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,3,3],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,3,3,3],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,3,3,3,3],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,3],[2,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,1,2,3],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,2,3],[2,3]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,1,3,3],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3,3],[2,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,2,2,3],[2,3]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,3,3],[2,3]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,1,1],[2],[3]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,2],[2],[3]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,1,1,3],[2],[3]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,1,2,2],[2],[3]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,3],[2],[3]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3,3],[2],[3]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,2,2],[2],[3]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,2,3],[2],[3]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,3,3],[2],[3]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,3,3,3],[2],[3]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,1,1],[2,2,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[2,3,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[3,3,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,2],[2,2,3]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[2,3,3]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,2],[3,3,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[2,2],[3]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1],[2,3],[3]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,1,2],[2,2],[3]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[2,3],[3]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[2,2],[3]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3],[2,3],[3]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,2,2],[2,3],[3]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,3],[2,3],[3]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,1],[2,2],[3,3]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1,1],[2]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,1,2],[2]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,1,2,2],[2]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,2,2,2],[2]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,2,2,2,2],[2]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1],[2,2]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,2],[2,2]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,1,2,2],[2,2]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,2,2,2],[2,2]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,1,1],[2,2,2]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2],[2,2,2]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[2,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[4,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[5,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[6,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[7,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[8,8]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[1],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[2],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[3],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[4],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[5],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[6],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[7],[8]]=>[2,1]=>{{1,2}}=>{{1,2}}
[[1,1,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,2,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,3,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,4,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,5,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,2,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,3,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,4,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,5,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[2,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,3,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,4,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,5,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[3,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,4,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,5,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,5,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[5,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[6,6,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[6,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[7,7,7]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[1,1],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,2],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,7],[2]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,3],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,7],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,4],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,7],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,5],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,7],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[1,7],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,2],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,3],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,7],[3]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,4],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,7],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,5],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,7],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[2,7],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[2,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,3],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,4],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,7],[4]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,5],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,7],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[3,7],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[3,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,4],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,5],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,7],[5]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[4,7],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[4,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[5,5],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[5,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[5,7],[6]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[5,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[6,6],[7]]=>[3,1,2]=>{{1,2,3}}=>{{1,2,3}}
[[6,7],[7]]=>[2,1,3]=>{{1,2},{3}}=>{{1,2},{3}}
[[1],[2],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[3],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[4],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[5],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1],[6],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[3],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[4],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[5],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[2],[6],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[4],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[5],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[3],[6],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[4],[5],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[4],[6],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[5],[6],[7]]=>[3,2,1]=>{{1,3},{2}}=>{{1,3},{2}}
[[1,1,1,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,2,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,2,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,2,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,3,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,4,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,5,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,5,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,2,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,2,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,3,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,4,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,5,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,5,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[2,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,3,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,3,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,4,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,5,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,5,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[3,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,4,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,4,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,5,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,5,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[4,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[5,5,5,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[5,5,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[5,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[6,6,6,6]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[1,1,1],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,2],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,6],[2]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,6],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,1,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,2,2],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,6],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,6],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,3,6],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,6],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,6],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,2,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,6,6],[2]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,4,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,3,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,6,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,5,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,4,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,6,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,5,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,5,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,5,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[1,6,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,6,6],[6]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,2,2],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,6],[3]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,2,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,3,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,4,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,5,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,3,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,6,6],[3]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,5,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,4,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,6,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,5,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,5,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,5,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[2,6,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[2,6,6],[6]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,3,3],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,6],[4]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,3,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,3,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,4,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,4,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,5,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,4,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,6,6],[4]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,5,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,5,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,5,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[3,6,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[3,6,6],[6]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[4,4,4],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,4,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,4,6],[5]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[4,4,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[4,5,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,5,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[4,5,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[4,6,6],[5]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[4,6,6],[6]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[5,5,5],[6]]=>[4,1,2,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[5,5,6],[6]]=>[3,1,2,4]=>{{1,2,3},{4}}=>{{1,2,3},{4}}
[[5,6,6],[6]]=>[2,1,3,4]=>{{1,2},{3},{4}}=>{{1,2},{3},{4}}
[[1,1],[2,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[3,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,2],[2,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[3,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[2,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[2,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,5],[2,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,3],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,5],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,4],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,5],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,5],[5,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,5],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[3,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,2],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,3],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,4],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,5],[3,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,4],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,5],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[2,5],[5,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,5],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[4,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,3],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,4],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,5],[4,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[3,5],[5,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,5],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[4,4],[5,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[4,4],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[4,5],[5,6]]=>[2,4,1,3]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,5],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[5,5],[6,6]]=>[3,4,1,2]=>{{1,3},{2,4}}=>{{1,4},{2,3}}
[[1,1],[2],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[3],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,1],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,2],[2],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,2],[3],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,3],[2],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[2],[3]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,2],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[2],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[2],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,2],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,5],[2],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[2],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,6],[2],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,3],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,3],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,4],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,3],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,5],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[3],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,6],[3],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,4],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,4],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[1,5],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,6],[4],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1,5],[5],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[1,6],[5],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,2],[3],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,2],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,3],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,3],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,4],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,6],[3],[4]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,3],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,5],[3],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,6],[3],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,6],[3],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,4],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,4],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[2,5],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,6],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,6],[4],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[2,5],[5],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[2,6],[5],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[3,3],[4],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,3],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,4],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[3,4],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[3,5],[4],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[3,6],[4],[5]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[3,6],[4],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[3,5],[5],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[3,6],[5],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[4,4],[5],[6]]=>[4,3,1,2]=>{{1,2,3,4}}=>{{1,2,3,4}}
[[4,5],[5],[6]]=>[4,2,1,3]=>{{1,3,4},{2}}=>{{1,3,4},{2}}
[[4,6],[5],[6]]=>[3,2,1,4]=>{{1,3},{2},{4}}=>{{1,3},{2},{4}}
[[1],[2],[3],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[2],[4],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[2],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[3],[4],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[3],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1],[4],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[2],[3],[4],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[2],[3],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[2],[4],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[3],[4],[5],[6]]=>[4,3,2,1]=>{{1,4},{2,3}}=>{{1,3},{2,4}}
[[1,1,1,1,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,2,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,2,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,2,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,2,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,2,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,2,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,3,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,4,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,4,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,4,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,5,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,2,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,2,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,2,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,3,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,4,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,4,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,4,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[2,5,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,3,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,3,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,3,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,4,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,4,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,4,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[3,5,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[4,4,4,4,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[4,4,4,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[4,4,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[4,5,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[5,5,5,5,5]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[1,1,1,1],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,2],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,5],[2]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,5],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,1,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,2,2],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,5],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,5],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,3,5],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4,5],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,2,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,5,5],[2]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,5,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,1,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,2,2,2],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,5],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,2,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,5,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,3,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,4,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,5,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,3,5,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,4,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,5,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,2,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,5,5,5],[2]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,4,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,4,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,3,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,5,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,4,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4,4,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,4,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,4,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,4,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[1,5,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,5,5,5],[5]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,2,2,2],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,5],[3]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,2,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,2,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,4,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,5,5],[3]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,2,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,3,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,3,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,4,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,4,4,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,4,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,3,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,5,5,5],[3]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,4,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4,4,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,4,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,4,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,4,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[2,5,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[2,5,5,5],[5]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[3,3,3,3],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,3,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,3,5],[4]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,3,3,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,3,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,4,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[3,3,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,3,5,5],[4]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[3,3,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[3,4,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,4,4,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[3,4,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,4,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[3,4,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[3,5,5,5],[4]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[3,5,5,5],[5]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[4,4,4,4],[5]]=>[5,1,2,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[4,4,4,5],[5]]=>[4,1,2,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[4,4,5,5],[5]]=>[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
[[4,5,5,5],[5]]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
[[1,1,1],[2,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[3,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,1],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[2,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[2,2]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[3,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3],[2,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[2,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[2,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[2,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,2],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[2,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,4],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[3,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,1,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,2,2],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,2],[3,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[2,3]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[2,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[2,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,2,5],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,3],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,2,5],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,4],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,5],[2,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[3,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,5],[2,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,2,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,4,4],[2,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,4,5],[2,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,3,3],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,4],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,5],[3,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,5],[3,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[1,3,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,4,4],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,4,5],[3,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,4,4],[4,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4,5],[4,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,4,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,2],[3,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,2],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[2,2,5],[3,3]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,4],[3,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[2,2,5],[3,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,5],[3,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[2,2,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,2,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,3,3],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,4],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,5],[3,4]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,5],[3,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[2,3,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,4,4],[3,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,3,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,4,5],[3,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[2,4,4],[4,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4,5],[4,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,4,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[3,3,3],[4,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,3],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,4],[4,5]]=>[3,5,1,2,4]=>{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
[[3,3,5],[4,4]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[3,3,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,5],[4,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[3,3,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[3,4,4],[4,5]]=>[2,5,1,3,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,4,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,4,5],[4,5]]=>[2,4,1,3,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,4,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[4,4,4],[5,5]]=>[4,5,1,2,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[4,4,5],[5,5]]=>[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
[[1,1,1],[2],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,1],[3],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,1],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,2],[2],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,2],[3],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,3],[2],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[2],[3]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,2],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,4],[2],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[2],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,5],[2],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,3],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,1,4],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,5],[3],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,1,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,2,2],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,2],[3],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,2,3],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,5],[2],[3]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,2,2],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,2,4],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2,5],[2],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,2,5],[2],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,2,3],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3,3],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,5],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,2,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,2,4],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2,5],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,4],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,5],[2],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,4,5],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,2,5],[3],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,3,5],[2],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,5,5],[2],[3]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,2,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4,4],[2],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,4,5],[2],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,2,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,4,5],[2],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,5,5],[2],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,5,5],[2],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,3,3],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[1,3,4],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3,5],[3],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,3,5],[3],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,3,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4,4],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,4,5],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,3,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[1,4,5],[3],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,5,5],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,5,5],[3],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,4,4],[4],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,4,5],[4],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[1,5,5],[4],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[2,2,2],[3],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[2,2,2],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[2,2,3],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[2,2,4],[3],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,5],[3],[4]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,5],[3],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,2,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,3,3],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,3,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[2,3,4],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,3,5],[3],[4]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[2,3,5],[3],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[2,3,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4,4],[3],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,4,5],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[2,3,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[2,4,5],[3],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[2,5,5],[3],[4]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[2,5,5],[3],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[2,4,4],[4],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,4,5],[4],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[2,5,5],[4],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[3,3,3],[4],[5]]=>[5,4,1,2,3]=>{{1,3,5},{2,4}}=>{{1,5},{2,3,4}}
[[3,3,4],[4],[5]]=>[5,3,1,2,4]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3,5],[4],[5]]=>[4,3,1,2,5]=>{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
[[3,4,4],[4],[5]]=>[5,2,1,3,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[3,4,5],[4],[5]]=>[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
[[3,5,5],[4],[5]]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
[[1,1],[2,2],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,3],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,5],[3]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[2,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[2,5],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[2,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[3,3],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[3,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[3,5],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[3,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,1],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,1],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,2],[2,3],[5]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[2,5],[3]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[2,4],[5]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[2,5],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[2,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[3,3],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3],[2,5],[3]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[3,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2],[3,5],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,3],[2,4],[5]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3],[2,5],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,4],[2,5],[3]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[3,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,3],[2,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,2],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4],[2,5],[4]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,2],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,4],[2,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,3],[3,4],[5]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3],[3,5],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,3],[3,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,3],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4],[3,5],[4]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[1,3],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[1,4],[3,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,4],[4,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[2,2],[3,3],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2],[3,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2],[3,5],[4]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[2,2],[3,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[2,2],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,2],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[2,3],[3,4],[5]]=>[5,2,4,1,3]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,3],[3,5],[4]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[2,3],[3,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[2,3],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4],[3,5],[4]]=>[3,2,5,1,4]=>{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
[[2,3],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[2,4],[3,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[2,4],[4,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[3,3],[4,4],[5]]=>[5,3,4,1,2]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[3,3],[4,5],[5]]=>[4,3,5,1,2]=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
[[3,4],[4,5],[5]]=>[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
[[1,1],[2],[3],[5]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[1,1],[2],[4],[5]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[1,1],[3],[4],[5]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[1,2],[2],[3],[5]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,2],[2],[4],[5]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,3],[2],[3],[5]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[1,5],[2],[3],[5]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[1,4],[2],[4],[5]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[1,5],[2],[4],[5]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[1,3],[3],[4],[5]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[1,4],[3],[4],[5]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[1,5],[3],[4],[5]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[2,2],[3],[4],[5]]=>[5,4,3,1,2]=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
[[2,3],[3],[4],[5]]=>[5,4,2,1,3]=>{{1,2,3,4,5}}=>{{1,2,3,4,5}}
[[2,4],[3],[4],[5]]=>[5,3,2,1,4]=>{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
[[2,5],[3],[4],[5]]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
[[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
[[1,1,1,1,1,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,2,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,2,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,2,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,2,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,2,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,2,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,2,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,2,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,2,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,2,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,3,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,3,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,3,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,3,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,4,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,2,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,2,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,2,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,2,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,3,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,3,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,3,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,3,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[2,4,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,3,3,3,3,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,3,3,3,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,3,3,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,3,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[3,4,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[4,4,4,4,4,4]]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
[[1,1,1,1,1],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,2],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,4],[2]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,1,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1,4],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,1,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2,2],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,2,4],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,2,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,2,4],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,3,4],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,2,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,4,4],[2]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,3,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,4,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,1,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,2,2,2],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,2,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,2,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,2,4],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,3,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,2,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,4,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,3,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,3,3,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,4,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,3,4,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,2,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,4,4,4],[2]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3,3,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,4,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,1,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,2,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,3,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,3,3,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,3,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,4,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,3,3,3,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,3,3,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,3,4,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,4,4,4,4],[2]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[1,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[2,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[2,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
[[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
[[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
[[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
[[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}
[[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
[[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}
[[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}
[[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
[[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
[[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
[[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
[[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
[[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>{{1,4,6},{2,3,5}}=>{{1,3,4,5},{2,6}}
[[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>{{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}}
[[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>{{1,4,6},{2},{3,5}}=>{{1,6},{2},{3,4,5}}
[[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>{{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}}
[[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
[[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}
[[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
[[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
[[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
[[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>{{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}
[[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>{{1,4,6},{2,5},{3}}=>{{1,6},{2,4,5},{3}}
[[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
[[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>{{1,4,6},{2,3,5}}=>{{1,3,4,5},{2,6}}
[[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
[[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>{{1,4,5,6},{2,3}}=>{{1,3},{2,4,5,6}}
[[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>{{1,4,5},{2,3},{6}}=>{{1,3},{2,4,5},{6}}
[[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}
[[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,4,6},{3}}
[[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>{{1,4,5},{2,3,6}}=>{{1,3,4,6},{2,5}}
[[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>{{1,5},{2,3,6},{4}}=>{{1,3,5},{2,6},{4}}
[[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
[[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
[[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
[[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>{{1,4,5},{2,6},{3}}
[[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
[[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>{{1,5},{2,3,4,6}}=>{{1,3,6},{2,4,5}}
[[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
[[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,2,2,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1,1],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,1,3],[2]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,2,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[1,3,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[2,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
[[2,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
[[1,1,1,1,1],[2,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,1],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>{{1,3,5},{2,4,6,7}}=>{{1,6,7},{2,3,4,5}}
[[1,1,1,1,3],[2,2]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,1,1,2],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,3,3],[2,2]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,1,3,3],[2,3]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,1,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>{{1,3},{2,4,5,6,7}}=>{{1,4,5,6,7},{2,3}}
[[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>{{1,3},{2,4,5,6},{7}}=>{{1,4,5,6},{2,3},{7}}
[[1,1,2,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,1,2,3,3],[2,3]]=>[3,5,1,2,4,6,7]=>{{1,3},{2,4,5},{6},{7}}=>{{1,4,5},{2,3},{6},{7}}
[[1,1,3,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,3,3,3],[2,3]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,2,2,2,2],[2,3]]=>[2,7,1,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,2,2,2,3],[2,3]]=>[2,6,1,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[1,2,2,3,3],[2,3]]=>[2,5,1,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,2,3,3,3],[2,3]]=>[2,4,1,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[2,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[2,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}
[[2,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
[[1,1,1,1,1],[2],[3]]=>[7,6,1,2,3,4,5]=>{{1,3,5,7},{2,4,6}}=>{{1,7},{2,3,4,5,6}}
[[1,1,1,1,2],[2],[3]]=>[7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1,3],[2],[3]]=>[6,5,1,2,3,4,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>{{1,3,5,6,7},{2,4}}=>{{1,5,6,7},{2,3,4}}
[[1,1,1,2,3],[2],[3]]=>[6,4,1,2,3,5,7]=>{{1,3,5,6},{2,4},{7}}=>{{1,5,6},{2,3,4},{7}}
[[1,1,1,3,3],[2],[3]]=>[5,4,1,2,3,6,7]=>{{1,3,5},{2,4},{6},{7}}=>{{1,5},{2,3,4},{6},{7}}
[[1,1,2,2,2],[2],[3]]=>[7,3,1,2,4,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,2,3],[2],[3]]=>[6,3,1,2,4,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,2,3,3],[2],[3]]=>[5,3,1,2,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
[[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>{{1,3,4,5,6,7},{2}}=>{{1,3,4,5,6,7},{2}}
[[1,2,2,2,3],[2],[3]]=>[6,2,1,3,4,5,7]=>{{1,3,4,5,6},{2},{7}}=>{{1,3,4,5,6},{2},{7}}
[[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>{{1,3,4,5},{2},{6},{7}}=>{{1,3,4,5},{2},{6},{7}}
[[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}}
[[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
[[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,6,7}}=>{{1,6,7},{2,5},{3,4}}
[[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>{{1,4},{2,3,5,6,7}}=>{{1,3,4},{2,5,6,7}}
[[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>{{1,3,4,6},{2,5},{7}}=>{{1,4,5},{2,3,6},{7}}
[[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>{{1,2,4,6},{3,5,7}}=>{{1,2,7},{3,4,5,6}}
[[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
[[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>{{1,4,7},{2,5},{3,6}}=>{{1,7},{2,6},{3,4,5}}
[[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>{{1,3,4,6,7},{2,5}}=>{{1,4,5},{2,3,6,7}}
[[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>{{1,2,4,5},{3,6},{7}}=>{{1,2,5},{3,4,6},{7}}
[[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>{{1,4,6},{2,3,5,7}}=>{{1,3,4,5,6},{2,7}}
[[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
[[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
[[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>{{1,3,4},{2,5},{6},{7}}
[[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>{{1,4,6},{2},{3,5,7}}=>{{1,7},{2},{3,4,5,6}}
[[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>{{1,3,4,5,6},{2},{7}}=>{{1,3,4,5,6},{2},{7}}
[[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
[[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>{{1,3,5,7},{2,4,6}}=>{{1,7},{2,3,4,5,6}}
[[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>{{1,5},{2,3,4,6,7}}=>{{1,3,6,7},{2,4,5}}
[[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>{{1,3,6},{2,7},{4,5}}
[[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
[[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
[[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>{{1,2,5,6,7},{3},{4}}=>{{1,2,5,6,7},{3},{4}}
[[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
[[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,1,1,1,1],[2]]=>[8,1,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}
[[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}}
[[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}}=>{{1,2,3,4,5},{6},{7},{8}}
[[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>{{1,2,3,4},{5},{6},{7},{8}}=>{{1,2,3,4},{5},{6},{7},{8}}
[[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>{{1,2,3},{4},{5},{6},{7},{8}}=>{{1,2,3},{4},{5},{6},{7},{8}}
[[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}
[[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>{{1,3,5,7},{2,4,6,8}}=>{{1,8},{2,3,4,5,6,7}}
[[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}}
[[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>{{1,2,3,4,5},{6},{7},{8}}=>{{1,2,3,4,5},{6},{7},{8}}
[[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
[[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}
[[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}}
[[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
[[1]]=>[1]=>{{1}}=>{{1}}
[[2]]=>[1]=>{{1}}=>{{1}}
[[1,1]]=>[1,2]=>{{1},{2}}=>{{1},{2}}
[[3]]=>[1]=>{{1}}=>{{1}}
[[1,1,1]]=>[1,2,3]=>{{1},{2},{3}}=>{{1},{2},{3}}
[[4]]=>[1]=>{{1}}=>{{1}}
[[1,1,1,1]]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
[[5]]=>[1]=>{{1}}=>{{1}}
[[1,1,1,1,1]]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
[[6]]=>[1]=>{{1}}=>{{1}}
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
Chen Deng Du Stanley Yan
Description
A map that swaps the crossing number and the nesting number of a set partition.
searching the database
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