Identifier
Mp00107:
Semistandard tableaux
—catabolism⟶
Semistandard tableaux
Mp00225: Semistandard tableaux —weight⟶ Integer partitions
Mp00225: Semistandard tableaux —weight⟶ Integer partitions
Images
=>
Cc0019;cc-rep-0Cc0019;cc-rep-1Cc0002;cc-rep-2
[[1,2]]=>[[1,2]]=>[1,1]
[[2,2]]=>[[2,2]]=>[2]
[[1],[2]]=>[[1,2]]=>[1,1]
[[1,3]]=>[[1,3]]=>[1,1]
[[2,3]]=>[[2,3]]=>[1,1]
[[3,3]]=>[[3,3]]=>[2]
[[1],[3]]=>[[1,3]]=>[1,1]
[[2],[3]]=>[[2,3]]=>[1,1]
[[1,1,2]]=>[[1,1,2]]=>[2,1]
[[1,2,2]]=>[[1,2,2]]=>[2,1]
[[2,2,2]]=>[[2,2,2]]=>[3]
[[1,1],[2]]=>[[1,1,2]]=>[2,1]
[[1,2],[2]]=>[[1,2,2]]=>[2,1]
[[1,4]]=>[[1,4]]=>[1,1]
[[2,4]]=>[[2,4]]=>[1,1]
[[3,4]]=>[[3,4]]=>[1,1]
[[4,4]]=>[[4,4]]=>[2]
[[1],[4]]=>[[1,4]]=>[1,1]
[[2],[4]]=>[[2,4]]=>[1,1]
[[3],[4]]=>[[3,4]]=>[1,1]
[[1,1,3]]=>[[1,1,3]]=>[2,1]
[[1,2,3]]=>[[1,2,3]]=>[1,1,1]
[[1,3,3]]=>[[1,3,3]]=>[2,1]
[[2,2,3]]=>[[2,2,3]]=>[2,1]
[[2,3,3]]=>[[2,3,3]]=>[2,1]
[[3,3,3]]=>[[3,3,3]]=>[3]
[[1,1],[3]]=>[[1,1,3]]=>[2,1]
[[1,2],[3]]=>[[1,2,3]]=>[1,1,1]
[[1,3],[2]]=>[[1,2],[3]]=>[1,1,1]
[[1,3],[3]]=>[[1,3,3]]=>[2,1]
[[2,2],[3]]=>[[2,2,3]]=>[2,1]
[[2,3],[3]]=>[[2,3,3]]=>[2,1]
[[1],[2],[3]]=>[[1,2],[3]]=>[1,1,1]
[[1,1,1,2]]=>[[1,1,1,2]]=>[3,1]
[[1,1,2,2]]=>[[1,1,2,2]]=>[2,2]
[[1,2,2,2]]=>[[1,2,2,2]]=>[3,1]
[[2,2,2,2]]=>[[2,2,2,2]]=>[4]
[[1,1,1],[2]]=>[[1,1,1,2]]=>[3,1]
[[1,1,2],[2]]=>[[1,1,2,2]]=>[2,2]
[[1,2,2],[2]]=>[[1,2,2,2]]=>[3,1]
[[1,1],[2,2]]=>[[1,1,2,2]]=>[2,2]
[[1,5]]=>[[1,5]]=>[1,1]
[[2,5]]=>[[2,5]]=>[1,1]
[[3,5]]=>[[3,5]]=>[1,1]
[[4,5]]=>[[4,5]]=>[1,1]
[[5,5]]=>[[5,5]]=>[2]
[[1],[5]]=>[[1,5]]=>[1,1]
[[2],[5]]=>[[2,5]]=>[1,1]
[[3],[5]]=>[[3,5]]=>[1,1]
[[4],[5]]=>[[4,5]]=>[1,1]
[[1,1,4]]=>[[1,1,4]]=>[2,1]
[[1,2,4]]=>[[1,2,4]]=>[1,1,1]
[[1,3,4]]=>[[1,3,4]]=>[1,1,1]
[[1,4,4]]=>[[1,4,4]]=>[2,1]
[[2,2,4]]=>[[2,2,4]]=>[2,1]
[[2,3,4]]=>[[2,3,4]]=>[1,1,1]
[[2,4,4]]=>[[2,4,4]]=>[2,1]
[[3,3,4]]=>[[3,3,4]]=>[2,1]
[[3,4,4]]=>[[3,4,4]]=>[2,1]
[[4,4,4]]=>[[4,4,4]]=>[3]
[[1,1],[4]]=>[[1,1,4]]=>[2,1]
[[1,2],[4]]=>[[1,2,4]]=>[1,1,1]
[[1,4],[2]]=>[[1,2],[4]]=>[1,1,1]
[[1,3],[4]]=>[[1,3,4]]=>[1,1,1]
[[1,4],[3]]=>[[1,3],[4]]=>[1,1,1]
[[1,4],[4]]=>[[1,4,4]]=>[2,1]
[[2,2],[4]]=>[[2,2,4]]=>[2,1]
[[2,3],[4]]=>[[2,3,4]]=>[1,1,1]
[[2,4],[3]]=>[[2,3],[4]]=>[1,1,1]
[[2,4],[4]]=>[[2,4,4]]=>[2,1]
[[3,3],[4]]=>[[3,3,4]]=>[2,1]
[[3,4],[4]]=>[[3,4,4]]=>[2,1]
[[1],[2],[4]]=>[[1,2],[4]]=>[1,1,1]
[[1],[3],[4]]=>[[1,3],[4]]=>[1,1,1]
[[2],[3],[4]]=>[[2,3],[4]]=>[1,1,1]
[[1,1,1,3]]=>[[1,1,1,3]]=>[3,1]
[[1,1,2,3]]=>[[1,1,2,3]]=>[2,1,1]
[[1,1,3,3]]=>[[1,1,3,3]]=>[2,2]
[[1,2,2,3]]=>[[1,2,2,3]]=>[2,1,1]
[[1,2,3,3]]=>[[1,2,3,3]]=>[2,1,1]
[[1,3,3,3]]=>[[1,3,3,3]]=>[3,1]
[[2,2,2,3]]=>[[2,2,2,3]]=>[3,1]
[[2,2,3,3]]=>[[2,2,3,3]]=>[2,2]
[[2,3,3,3]]=>[[2,3,3,3]]=>[3,1]
[[3,3,3,3]]=>[[3,3,3,3]]=>[4]
[[1,1,1],[3]]=>[[1,1,1,3]]=>[3,1]
[[1,1,2],[3]]=>[[1,1,2,3]]=>[2,1,1]
[[1,1,3],[2]]=>[[1,1,2],[3]]=>[2,1,1]
[[1,1,3],[3]]=>[[1,1,3,3]]=>[2,2]
[[1,2,2],[3]]=>[[1,2,2,3]]=>[2,1,1]
[[1,2,3],[2]]=>[[1,2,2],[3]]=>[2,1,1]
[[1,2,3],[3]]=>[[1,2,3,3]]=>[2,1,1]
[[1,3,3],[2]]=>[[1,2,3],[3]]=>[2,1,1]
[[1,3,3],[3]]=>[[1,3,3,3]]=>[3,1]
[[2,2,2],[3]]=>[[2,2,2,3]]=>[3,1]
[[2,2,3],[3]]=>[[2,2,3,3]]=>[2,2]
[[2,3,3],[3]]=>[[2,3,3,3]]=>[3,1]
[[1,1],[2,3]]=>[[1,1,2,3]]=>[2,1,1]
[[1,1],[3,3]]=>[[1,1,3,3]]=>[2,2]
[[1,2],[2,3]]=>[[1,2,2,3]]=>[2,1,1]
[[1,2],[3,3]]=>[[1,2,3,3]]=>[2,1,1]
[[2,2],[3,3]]=>[[2,2,3,3]]=>[2,2]
[[1,1],[2],[3]]=>[[1,1,2],[3]]=>[2,1,1]
[[1,2],[2],[3]]=>[[1,2,2],[3]]=>[2,1,1]
[[1,3],[2],[3]]=>[[1,2,3],[3]]=>[2,1,1]
[[1,1,1,1,2]]=>[[1,1,1,1,2]]=>[4,1]
[[1,1,1,2,2]]=>[[1,1,1,2,2]]=>[3,2]
[[1,1,2,2,2]]=>[[1,1,2,2,2]]=>[3,2]
[[1,2,2,2,2]]=>[[1,2,2,2,2]]=>[4,1]
[[2,2,2,2,2]]=>[[2,2,2,2,2]]=>[5]
[[1,1,1,1],[2]]=>[[1,1,1,1,2]]=>[4,1]
[[1,1,1,2],[2]]=>[[1,1,1,2,2]]=>[3,2]
[[1,1,2,2],[2]]=>[[1,1,2,2,2]]=>[3,2]
[[1,2,2,2],[2]]=>[[1,2,2,2,2]]=>[4,1]
[[1,1,1],[2,2]]=>[[1,1,1,2,2]]=>[3,2]
[[1,1,2],[2,2]]=>[[1,1,2,2,2]]=>[3,2]
[[1,6]]=>[[1,6]]=>[1,1]
[[2,6]]=>[[2,6]]=>[1,1]
[[3,6]]=>[[3,6]]=>[1,1]
[[4,6]]=>[[4,6]]=>[1,1]
[[5,6]]=>[[5,6]]=>[1,1]
[[6,6]]=>[[6,6]]=>[2]
[[1],[6]]=>[[1,6]]=>[1,1]
[[2],[6]]=>[[2,6]]=>[1,1]
[[3],[6]]=>[[3,6]]=>[1,1]
[[4],[6]]=>[[4,6]]=>[1,1]
[[5],[6]]=>[[5,6]]=>[1,1]
[[1,1,5]]=>[[1,1,5]]=>[2,1]
[[1,2,5]]=>[[1,2,5]]=>[1,1,1]
[[1,3,5]]=>[[1,3,5]]=>[1,1,1]
[[1,4,5]]=>[[1,4,5]]=>[1,1,1]
[[1,5,5]]=>[[1,5,5]]=>[2,1]
[[2,2,5]]=>[[2,2,5]]=>[2,1]
[[2,3,5]]=>[[2,3,5]]=>[1,1,1]
[[2,4,5]]=>[[2,4,5]]=>[1,1,1]
[[2,5,5]]=>[[2,5,5]]=>[2,1]
[[3,3,5]]=>[[3,3,5]]=>[2,1]
[[3,4,5]]=>[[3,4,5]]=>[1,1,1]
[[3,5,5]]=>[[3,5,5]]=>[2,1]
[[4,4,5]]=>[[4,4,5]]=>[2,1]
[[4,5,5]]=>[[4,5,5]]=>[2,1]
[[5,5,5]]=>[[5,5,5]]=>[3]
[[1,1],[5]]=>[[1,1,5]]=>[2,1]
[[1,2],[5]]=>[[1,2,5]]=>[1,1,1]
[[1,5],[2]]=>[[1,2],[5]]=>[1,1,1]
[[1,3],[5]]=>[[1,3,5]]=>[1,1,1]
[[1,5],[3]]=>[[1,3],[5]]=>[1,1,1]
[[1,4],[5]]=>[[1,4,5]]=>[1,1,1]
[[1,5],[4]]=>[[1,4],[5]]=>[1,1,1]
[[1,5],[5]]=>[[1,5,5]]=>[2,1]
[[2,2],[5]]=>[[2,2,5]]=>[2,1]
[[2,3],[5]]=>[[2,3,5]]=>[1,1,1]
[[2,5],[3]]=>[[2,3],[5]]=>[1,1,1]
[[2,4],[5]]=>[[2,4,5]]=>[1,1,1]
[[2,5],[4]]=>[[2,4],[5]]=>[1,1,1]
[[2,5],[5]]=>[[2,5,5]]=>[2,1]
[[3,3],[5]]=>[[3,3,5]]=>[2,1]
[[3,4],[5]]=>[[3,4,5]]=>[1,1,1]
[[3,5],[4]]=>[[3,4],[5]]=>[1,1,1]
[[3,5],[5]]=>[[3,5,5]]=>[2,1]
[[4,4],[5]]=>[[4,4,5]]=>[2,1]
[[4,5],[5]]=>[[4,5,5]]=>[2,1]
[[1],[2],[5]]=>[[1,2],[5]]=>[1,1,1]
[[1],[3],[5]]=>[[1,3],[5]]=>[1,1,1]
[[1],[4],[5]]=>[[1,4],[5]]=>[1,1,1]
[[2],[3],[5]]=>[[2,3],[5]]=>[1,1,1]
[[2],[4],[5]]=>[[2,4],[5]]=>[1,1,1]
[[3],[4],[5]]=>[[3,4],[5]]=>[1,1,1]
[[1,1,1,4]]=>[[1,1,1,4]]=>[3,1]
[[1,1,2,4]]=>[[1,1,2,4]]=>[2,1,1]
[[1,1,3,4]]=>[[1,1,3,4]]=>[2,1,1]
[[1,1,4,4]]=>[[1,1,4,4]]=>[2,2]
[[1,2,2,4]]=>[[1,2,2,4]]=>[2,1,1]
[[1,2,3,4]]=>[[1,2,3,4]]=>[1,1,1,1]
[[1,2,4,4]]=>[[1,2,4,4]]=>[2,1,1]
[[1,3,3,4]]=>[[1,3,3,4]]=>[2,1,1]
[[1,3,4,4]]=>[[1,3,4,4]]=>[2,1,1]
[[1,4,4,4]]=>[[1,4,4,4]]=>[3,1]
[[2,2,2,4]]=>[[2,2,2,4]]=>[3,1]
[[2,2,3,4]]=>[[2,2,3,4]]=>[2,1,1]
[[2,2,4,4]]=>[[2,2,4,4]]=>[2,2]
[[2,3,3,4]]=>[[2,3,3,4]]=>[2,1,1]
[[2,3,4,4]]=>[[2,3,4,4]]=>[2,1,1]
[[2,4,4,4]]=>[[2,4,4,4]]=>[3,1]
[[3,3,3,4]]=>[[3,3,3,4]]=>[3,1]
[[3,3,4,4]]=>[[3,3,4,4]]=>[2,2]
[[3,4,4,4]]=>[[3,4,4,4]]=>[3,1]
[[4,4,4,4]]=>[[4,4,4,4]]=>[4]
[[1,1,1],[4]]=>[[1,1,1,4]]=>[3,1]
[[1,1,2],[4]]=>[[1,1,2,4]]=>[2,1,1]
[[1,1,4],[2]]=>[[1,1,2],[4]]=>[2,1,1]
[[1,1,3],[4]]=>[[1,1,3,4]]=>[2,1,1]
[[1,1,4],[3]]=>[[1,1,3],[4]]=>[2,1,1]
[[1,1,4],[4]]=>[[1,1,4,4]]=>[2,2]
[[1,2,2],[4]]=>[[1,2,2,4]]=>[2,1,1]
[[1,2,4],[2]]=>[[1,2,2],[4]]=>[2,1,1]
[[1,2,3],[4]]=>[[1,2,3,4]]=>[1,1,1,1]
[[1,2,4],[3]]=>[[1,2,3],[4]]=>[1,1,1,1]
[[1,3,4],[2]]=>[[1,2,4],[3]]=>[1,1,1,1]
[[1,2,4],[4]]=>[[1,2,4,4]]=>[2,1,1]
[[1,4,4],[2]]=>[[1,2,4],[4]]=>[2,1,1]
[[1,3,3],[4]]=>[[1,3,3,4]]=>[2,1,1]
[[1,3,4],[3]]=>[[1,3,3],[4]]=>[2,1,1]
[[1,3,4],[4]]=>[[1,3,4,4]]=>[2,1,1]
[[1,4,4],[3]]=>[[1,3,4],[4]]=>[2,1,1]
[[1,4,4],[4]]=>[[1,4,4,4]]=>[3,1]
[[2,2,2],[4]]=>[[2,2,2,4]]=>[3,1]
[[2,2,3],[4]]=>[[2,2,3,4]]=>[2,1,1]
[[2,2,4],[3]]=>[[2,2,3],[4]]=>[2,1,1]
[[2,2,4],[4]]=>[[2,2,4,4]]=>[2,2]
[[2,3,3],[4]]=>[[2,3,3,4]]=>[2,1,1]
[[2,3,4],[3]]=>[[2,3,3],[4]]=>[2,1,1]
[[2,3,4],[4]]=>[[2,3,4,4]]=>[2,1,1]
[[2,4,4],[3]]=>[[2,3,4],[4]]=>[2,1,1]
[[2,4,4],[4]]=>[[2,4,4,4]]=>[3,1]
[[3,3,3],[4]]=>[[3,3,3,4]]=>[3,1]
[[3,3,4],[4]]=>[[3,3,4,4]]=>[2,2]
[[3,4,4],[4]]=>[[3,4,4,4]]=>[3,1]
[[1,1],[2,4]]=>[[1,1,2,4]]=>[2,1,1]
[[1,1],[3,4]]=>[[1,1,3,4]]=>[2,1,1]
[[1,1],[4,4]]=>[[1,1,4,4]]=>[2,2]
[[1,2],[2,4]]=>[[1,2,2,4]]=>[2,1,1]
[[1,2],[3,4]]=>[[1,2,3,4]]=>[1,1,1,1]
[[1,3],[2,4]]=>[[1,2,4],[3]]=>[1,1,1,1]
[[1,2],[4,4]]=>[[1,2,4,4]]=>[2,1,1]
[[1,3],[3,4]]=>[[1,3,3,4]]=>[2,1,1]
[[1,3],[4,4]]=>[[1,3,4,4]]=>[2,1,1]
[[2,2],[3,4]]=>[[2,2,3,4]]=>[2,1,1]
[[2,2],[4,4]]=>[[2,2,4,4]]=>[2,2]
[[2,3],[3,4]]=>[[2,3,3,4]]=>[2,1,1]
[[2,3],[4,4]]=>[[2,3,4,4]]=>[2,1,1]
[[3,3],[4,4]]=>[[3,3,4,4]]=>[2,2]
[[1,1],[2],[4]]=>[[1,1,2],[4]]=>[2,1,1]
[[1,1],[3],[4]]=>[[1,1,3],[4]]=>[2,1,1]
[[1,2],[2],[4]]=>[[1,2,2],[4]]=>[2,1,1]
[[1,2],[3],[4]]=>[[1,2,3],[4]]=>[1,1,1,1]
[[1,3],[2],[4]]=>[[1,2,4],[3]]=>[1,1,1,1]
[[1,4],[2],[3]]=>[[1,2],[3],[4]]=>[1,1,1,1]
[[1,4],[2],[4]]=>[[1,2,4],[4]]=>[2,1,1]
[[1,3],[3],[4]]=>[[1,3,3],[4]]=>[2,1,1]
[[1,4],[3],[4]]=>[[1,3,4],[4]]=>[2,1,1]
[[2,2],[3],[4]]=>[[2,2,3],[4]]=>[2,1,1]
[[2,3],[3],[4]]=>[[2,3,3],[4]]=>[2,1,1]
[[2,4],[3],[4]]=>[[2,3,4],[4]]=>[2,1,1]
[[1],[2],[3],[4]]=>[[1,2],[3],[4]]=>[1,1,1,1]
[[1,1,1,1,3]]=>[[1,1,1,1,3]]=>[4,1]
[[1,1,1,2,3]]=>[[1,1,1,2,3]]=>[3,1,1]
[[1,1,1,3,3]]=>[[1,1,1,3,3]]=>[3,2]
[[1,1,2,2,3]]=>[[1,1,2,2,3]]=>[2,2,1]
[[1,1,2,3,3]]=>[[1,1,2,3,3]]=>[2,2,1]
[[1,1,3,3,3]]=>[[1,1,3,3,3]]=>[3,2]
[[1,2,2,2,3]]=>[[1,2,2,2,3]]=>[3,1,1]
[[1,2,2,3,3]]=>[[1,2,2,3,3]]=>[2,2,1]
[[1,2,3,3,3]]=>[[1,2,3,3,3]]=>[3,1,1]
[[1,3,3,3,3]]=>[[1,3,3,3,3]]=>[4,1]
[[2,2,2,2,3]]=>[[2,2,2,2,3]]=>[4,1]
[[2,2,2,3,3]]=>[[2,2,2,3,3]]=>[3,2]
[[2,2,3,3,3]]=>[[2,2,3,3,3]]=>[3,2]
[[2,3,3,3,3]]=>[[2,3,3,3,3]]=>[4,1]
[[3,3,3,3,3]]=>[[3,3,3,3,3]]=>[5]
[[1,1,1,1],[3]]=>[[1,1,1,1,3]]=>[4,1]
[[1,1,1,2],[3]]=>[[1,1,1,2,3]]=>[3,1,1]
[[1,1,1,3],[2]]=>[[1,1,1,2],[3]]=>[3,1,1]
[[1,1,1,3],[3]]=>[[1,1,1,3,3]]=>[3,2]
[[1,1,2,2],[3]]=>[[1,1,2,2,3]]=>[2,2,1]
[[1,1,2,3],[2]]=>[[1,1,2,2],[3]]=>[2,2,1]
[[1,1,2,3],[3]]=>[[1,1,2,3,3]]=>[2,2,1]
[[1,1,3,3],[2]]=>[[1,1,2,3],[3]]=>[2,2,1]
[[1,1,3,3],[3]]=>[[1,1,3,3,3]]=>[3,2]
[[1,2,2,2],[3]]=>[[1,2,2,2,3]]=>[3,1,1]
[[1,2,2,3],[2]]=>[[1,2,2,2],[3]]=>[3,1,1]
[[1,2,2,3],[3]]=>[[1,2,2,3,3]]=>[2,2,1]
[[1,2,3,3],[2]]=>[[1,2,2,3],[3]]=>[2,2,1]
[[1,2,3,3],[3]]=>[[1,2,3,3,3]]=>[3,1,1]
[[1,3,3,3],[2]]=>[[1,2,3,3],[3]]=>[3,1,1]
[[1,3,3,3],[3]]=>[[1,3,3,3,3]]=>[4,1]
[[2,2,2,2],[3]]=>[[2,2,2,2,3]]=>[4,1]
[[2,2,2,3],[3]]=>[[2,2,2,3,3]]=>[3,2]
[[2,2,3,3],[3]]=>[[2,2,3,3,3]]=>[3,2]
[[2,3,3,3],[3]]=>[[2,3,3,3,3]]=>[4,1]
[[1,1,1],[2,3]]=>[[1,1,1,2,3]]=>[3,1,1]
[[1,1,1],[3,3]]=>[[1,1,1,3,3]]=>[3,2]
[[1,1,2],[2,3]]=>[[1,1,2,2,3]]=>[2,2,1]
[[1,1,3],[2,2]]=>[[1,1,2,2],[3]]=>[2,2,1]
[[1,1,2],[3,3]]=>[[1,1,2,3,3]]=>[2,2,1]
[[1,1,3],[2,3]]=>[[1,1,2,3],[3]]=>[2,2,1]
[[1,1,3],[3,3]]=>[[1,1,3,3,3]]=>[3,2]
[[1,2,2],[2,3]]=>[[1,2,2,2,3]]=>[3,1,1]
[[1,2,2],[3,3]]=>[[1,2,2,3,3]]=>[2,2,1]
[[1,2,3],[2,3]]=>[[1,2,2,3],[3]]=>[2,2,1]
[[1,2,3],[3,3]]=>[[1,2,3,3,3]]=>[3,1,1]
[[2,2,2],[3,3]]=>[[2,2,2,3,3]]=>[3,2]
[[2,2,3],[3,3]]=>[[2,2,3,3,3]]=>[3,2]
[[1,1,1],[2],[3]]=>[[1,1,1,2],[3]]=>[3,1,1]
[[1,1,2],[2],[3]]=>[[1,1,2,2],[3]]=>[2,2,1]
[[1,1,3],[2],[3]]=>[[1,1,2,3],[3]]=>[2,2,1]
[[1,2,2],[2],[3]]=>[[1,2,2,2],[3]]=>[3,1,1]
[[1,2,3],[2],[3]]=>[[1,2,2,3],[3]]=>[2,2,1]
[[1,3,3],[2],[3]]=>[[1,2,3,3],[3]]=>[3,1,1]
[[1,1],[2,2],[3]]=>[[1,1,2,2],[3]]=>[2,2,1]
[[1,1],[2,3],[3]]=>[[1,1,2,3],[3]]=>[2,2,1]
[[1,2],[2,3],[3]]=>[[1,2,2,3],[3]]=>[2,2,1]
[[1,1,1,1,1,2]]=>[[1,1,1,1,1,2]]=>[5,1]
[[1,1,1,1,2,2]]=>[[1,1,1,1,2,2]]=>[4,2]
[[1,1,1,2,2,2]]=>[[1,1,1,2,2,2]]=>[3,3]
[[1,1,2,2,2,2]]=>[[1,1,2,2,2,2]]=>[4,2]
[[1,2,2,2,2,2]]=>[[1,2,2,2,2,2]]=>[5,1]
[[2,2,2,2,2,2]]=>[[2,2,2,2,2,2]]=>[6]
[[1,1,1,1,1],[2]]=>[[1,1,1,1,1,2]]=>[5,1]
[[1,1,1,1,2],[2]]=>[[1,1,1,1,2,2]]=>[4,2]
[[1,1,1,2,2],[2]]=>[[1,1,1,2,2,2]]=>[3,3]
[[1,1,2,2,2],[2]]=>[[1,1,2,2,2,2]]=>[4,2]
[[1,2,2,2,2],[2]]=>[[1,2,2,2,2,2]]=>[5,1]
[[1,1,1,1],[2,2]]=>[[1,1,1,1,2,2]]=>[4,2]
[[1,1,1,2],[2,2]]=>[[1,1,1,2,2,2]]=>[3,3]
[[1,1,2,2],[2,2]]=>[[1,1,2,2,2,2]]=>[4,2]
[[1,1,1],[2,2,2]]=>[[1,1,1,2,2,2]]=>[3,3]
[[1,7]]=>[[1,7]]=>[1,1]
[[2,7]]=>[[2,7]]=>[1,1]
[[3,7]]=>[[3,7]]=>[1,1]
[[4,7]]=>[[4,7]]=>[1,1]
[[5,7]]=>[[5,7]]=>[1,1]
[[6,7]]=>[[6,7]]=>[1,1]
[[7,7]]=>[[7,7]]=>[2]
[[1],[7]]=>[[1,7]]=>[1,1]
[[2],[7]]=>[[2,7]]=>[1,1]
[[3],[7]]=>[[3,7]]=>[1,1]
[[4],[7]]=>[[4,7]]=>[1,1]
[[5],[7]]=>[[5,7]]=>[1,1]
[[6],[7]]=>[[6,7]]=>[1,1]
[[1,1,6]]=>[[1,1,6]]=>[2,1]
[[1,2,6]]=>[[1,2,6]]=>[1,1,1]
[[1,3,6]]=>[[1,3,6]]=>[1,1,1]
[[1,4,6]]=>[[1,4,6]]=>[1,1,1]
[[1,5,6]]=>[[1,5,6]]=>[1,1,1]
[[1,6,6]]=>[[1,6,6]]=>[2,1]
[[2,2,6]]=>[[2,2,6]]=>[2,1]
[[2,3,6]]=>[[2,3,6]]=>[1,1,1]
[[2,4,6]]=>[[2,4,6]]=>[1,1,1]
[[2,5,6]]=>[[2,5,6]]=>[1,1,1]
[[2,6,6]]=>[[2,6,6]]=>[2,1]
[[3,3,6]]=>[[3,3,6]]=>[2,1]
[[3,4,6]]=>[[3,4,6]]=>[1,1,1]
[[3,5,6]]=>[[3,5,6]]=>[1,1,1]
[[3,6,6]]=>[[3,6,6]]=>[2,1]
[[4,4,6]]=>[[4,4,6]]=>[2,1]
[[4,5,6]]=>[[4,5,6]]=>[1,1,1]
[[4,6,6]]=>[[4,6,6]]=>[2,1]
[[5,5,6]]=>[[5,5,6]]=>[2,1]
[[5,6,6]]=>[[5,6,6]]=>[2,1]
[[6,6,6]]=>[[6,6,6]]=>[3]
[[1,1],[6]]=>[[1,1,6]]=>[2,1]
[[1,2],[6]]=>[[1,2,6]]=>[1,1,1]
[[1,6],[2]]=>[[1,2],[6]]=>[1,1,1]
[[1,3],[6]]=>[[1,3,6]]=>[1,1,1]
[[1,6],[3]]=>[[1,3],[6]]=>[1,1,1]
[[1,4],[6]]=>[[1,4,6]]=>[1,1,1]
[[1,6],[4]]=>[[1,4],[6]]=>[1,1,1]
[[1,5],[6]]=>[[1,5,6]]=>[1,1,1]
[[1,6],[5]]=>[[1,5],[6]]=>[1,1,1]
[[1,6],[6]]=>[[1,6,6]]=>[2,1]
[[2,2],[6]]=>[[2,2,6]]=>[2,1]
[[2,3],[6]]=>[[2,3,6]]=>[1,1,1]
[[2,6],[3]]=>[[2,3],[6]]=>[1,1,1]
[[2,4],[6]]=>[[2,4,6]]=>[1,1,1]
[[2,6],[4]]=>[[2,4],[6]]=>[1,1,1]
[[2,5],[6]]=>[[2,5,6]]=>[1,1,1]
[[2,6],[5]]=>[[2,5],[6]]=>[1,1,1]
[[2,6],[6]]=>[[2,6,6]]=>[2,1]
[[3,3],[6]]=>[[3,3,6]]=>[2,1]
[[3,4],[6]]=>[[3,4,6]]=>[1,1,1]
[[3,6],[4]]=>[[3,4],[6]]=>[1,1,1]
[[3,5],[6]]=>[[3,5,6]]=>[1,1,1]
[[3,6],[5]]=>[[3,5],[6]]=>[1,1,1]
[[3,6],[6]]=>[[3,6,6]]=>[2,1]
[[4,4],[6]]=>[[4,4,6]]=>[2,1]
[[4,5],[6]]=>[[4,5,6]]=>[1,1,1]
[[4,6],[5]]=>[[4,5],[6]]=>[1,1,1]
[[4,6],[6]]=>[[4,6,6]]=>[2,1]
[[5,5],[6]]=>[[5,5,6]]=>[2,1]
[[5,6],[6]]=>[[5,6,6]]=>[2,1]
[[1],[2],[6]]=>[[1,2],[6]]=>[1,1,1]
[[1],[3],[6]]=>[[1,3],[6]]=>[1,1,1]
[[1],[4],[6]]=>[[1,4],[6]]=>[1,1,1]
[[1],[5],[6]]=>[[1,5],[6]]=>[1,1,1]
[[2],[3],[6]]=>[[2,3],[6]]=>[1,1,1]
[[2],[4],[6]]=>[[2,4],[6]]=>[1,1,1]
[[2],[5],[6]]=>[[2,5],[6]]=>[1,1,1]
[[3],[4],[6]]=>[[3,4],[6]]=>[1,1,1]
[[3],[5],[6]]=>[[3,5],[6]]=>[1,1,1]
[[4],[5],[6]]=>[[4,5],[6]]=>[1,1,1]
[[1,1,1,5]]=>[[1,1,1,5]]=>[3,1]
[[1,1,2,5]]=>[[1,1,2,5]]=>[2,1,1]
[[1,1,3,5]]=>[[1,1,3,5]]=>[2,1,1]
[[1,1,4,5]]=>[[1,1,4,5]]=>[2,1,1]
[[1,1,5,5]]=>[[1,1,5,5]]=>[2,2]
[[1,2,2,5]]=>[[1,2,2,5]]=>[2,1,1]
[[1,2,3,5]]=>[[1,2,3,5]]=>[1,1,1,1]
[[1,2,4,5]]=>[[1,2,4,5]]=>[1,1,1,1]
[[1,2,5,5]]=>[[1,2,5,5]]=>[2,1,1]
[[1,3,3,5]]=>[[1,3,3,5]]=>[2,1,1]
[[1,3,4,5]]=>[[1,3,4,5]]=>[1,1,1,1]
[[1,3,5,5]]=>[[1,3,5,5]]=>[2,1,1]
[[1,4,4,5]]=>[[1,4,4,5]]=>[2,1,1]
[[1,4,5,5]]=>[[1,4,5,5]]=>[2,1,1]
[[1,5,5,5]]=>[[1,5,5,5]]=>[3,1]
[[2,2,2,5]]=>[[2,2,2,5]]=>[3,1]
[[2,2,3,5]]=>[[2,2,3,5]]=>[2,1,1]
[[2,2,4,5]]=>[[2,2,4,5]]=>[2,1,1]
[[2,2,5,5]]=>[[2,2,5,5]]=>[2,2]
[[2,3,3,5]]=>[[2,3,3,5]]=>[2,1,1]
[[2,3,4,5]]=>[[2,3,4,5]]=>[1,1,1,1]
[[2,3,5,5]]=>[[2,3,5,5]]=>[2,1,1]
[[2,4,4,5]]=>[[2,4,4,5]]=>[2,1,1]
[[2,4,5,5]]=>[[2,4,5,5]]=>[2,1,1]
[[2,5,5,5]]=>[[2,5,5,5]]=>[3,1]
[[3,3,3,5]]=>[[3,3,3,5]]=>[3,1]
[[3,3,4,5]]=>[[3,3,4,5]]=>[2,1,1]
[[3,3,5,5]]=>[[3,3,5,5]]=>[2,2]
[[3,4,4,5]]=>[[3,4,4,5]]=>[2,1,1]
[[3,4,5,5]]=>[[3,4,5,5]]=>[2,1,1]
[[3,5,5,5]]=>[[3,5,5,5]]=>[3,1]
[[4,4,4,5]]=>[[4,4,4,5]]=>[3,1]
[[4,4,5,5]]=>[[4,4,5,5]]=>[2,2]
[[4,5,5,5]]=>[[4,5,5,5]]=>[3,1]
[[5,5,5,5]]=>[[5,5,5,5]]=>[4]
[[1,1,1],[5]]=>[[1,1,1,5]]=>[3,1]
[[1,1,2],[5]]=>[[1,1,2,5]]=>[2,1,1]
[[1,1,5],[2]]=>[[1,1,2],[5]]=>[2,1,1]
[[1,1,3],[5]]=>[[1,1,3,5]]=>[2,1,1]
[[1,1,5],[3]]=>[[1,1,3],[5]]=>[2,1,1]
[[1,1,4],[5]]=>[[1,1,4,5]]=>[2,1,1]
[[1,1,5],[4]]=>[[1,1,4],[5]]=>[2,1,1]
[[1,1,5],[5]]=>[[1,1,5,5]]=>[2,2]
[[1,2,2],[5]]=>[[1,2,2,5]]=>[2,1,1]
[[1,2,5],[2]]=>[[1,2,2],[5]]=>[2,1,1]
[[1,2,3],[5]]=>[[1,2,3,5]]=>[1,1,1,1]
[[1,2,5],[3]]=>[[1,2,3],[5]]=>[1,1,1,1]
[[1,3,5],[2]]=>[[1,2,5],[3]]=>[1,1,1,1]
[[1,2,4],[5]]=>[[1,2,4,5]]=>[1,1,1,1]
[[1,2,5],[4]]=>[[1,2,4],[5]]=>[1,1,1,1]
[[1,4,5],[2]]=>[[1,2,5],[4]]=>[1,1,1,1]
[[1,2,5],[5]]=>[[1,2,5,5]]=>[2,1,1]
[[1,5,5],[2]]=>[[1,2,5],[5]]=>[2,1,1]
[[1,3,3],[5]]=>[[1,3,3,5]]=>[2,1,1]
[[1,3,5],[3]]=>[[1,3,3],[5]]=>[2,1,1]
[[1,3,4],[5]]=>[[1,3,4,5]]=>[1,1,1,1]
[[1,3,5],[4]]=>[[1,3,4],[5]]=>[1,1,1,1]
[[1,4,5],[3]]=>[[1,3,5],[4]]=>[1,1,1,1]
[[1,3,5],[5]]=>[[1,3,5,5]]=>[2,1,1]
[[1,5,5],[3]]=>[[1,3,5],[5]]=>[2,1,1]
[[1,4,4],[5]]=>[[1,4,4,5]]=>[2,1,1]
[[1,4,5],[4]]=>[[1,4,4],[5]]=>[2,1,1]
[[1,4,5],[5]]=>[[1,4,5,5]]=>[2,1,1]
[[1,5,5],[4]]=>[[1,4,5],[5]]=>[2,1,1]
[[1,5,5],[5]]=>[[1,5,5,5]]=>[3,1]
[[2,2,2],[5]]=>[[2,2,2,5]]=>[3,1]
[[2,2,3],[5]]=>[[2,2,3,5]]=>[2,1,1]
[[2,2,5],[3]]=>[[2,2,3],[5]]=>[2,1,1]
[[2,2,4],[5]]=>[[2,2,4,5]]=>[2,1,1]
[[2,2,5],[4]]=>[[2,2,4],[5]]=>[2,1,1]
[[2,2,5],[5]]=>[[2,2,5,5]]=>[2,2]
[[2,3,3],[5]]=>[[2,3,3,5]]=>[2,1,1]
[[2,3,5],[3]]=>[[2,3,3],[5]]=>[2,1,1]
[[2,3,4],[5]]=>[[2,3,4,5]]=>[1,1,1,1]
[[2,3,5],[4]]=>[[2,3,4],[5]]=>[1,1,1,1]
[[2,4,5],[3]]=>[[2,3,5],[4]]=>[1,1,1,1]
[[2,3,5],[5]]=>[[2,3,5,5]]=>[2,1,1]
[[2,5,5],[3]]=>[[2,3,5],[5]]=>[2,1,1]
[[2,4,4],[5]]=>[[2,4,4,5]]=>[2,1,1]
[[2,4,5],[4]]=>[[2,4,4],[5]]=>[2,1,1]
[[2,4,5],[5]]=>[[2,4,5,5]]=>[2,1,1]
[[2,5,5],[4]]=>[[2,4,5],[5]]=>[2,1,1]
[[2,5,5],[5]]=>[[2,5,5,5]]=>[3,1]
[[3,3,3],[5]]=>[[3,3,3,5]]=>[3,1]
[[3,3,4],[5]]=>[[3,3,4,5]]=>[2,1,1]
[[3,3,5],[4]]=>[[3,3,4],[5]]=>[2,1,1]
[[3,3,5],[5]]=>[[3,3,5,5]]=>[2,2]
[[3,4,4],[5]]=>[[3,4,4,5]]=>[2,1,1]
[[3,4,5],[4]]=>[[3,4,4],[5]]=>[2,1,1]
[[3,4,5],[5]]=>[[3,4,5,5]]=>[2,1,1]
[[3,5,5],[4]]=>[[3,4,5],[5]]=>[2,1,1]
[[3,5,5],[5]]=>[[3,5,5,5]]=>[3,1]
[[4,4,4],[5]]=>[[4,4,4,5]]=>[3,1]
[[4,4,5],[5]]=>[[4,4,5,5]]=>[2,2]
[[4,5,5],[5]]=>[[4,5,5,5]]=>[3,1]
[[1,1],[2,5]]=>[[1,1,2,5]]=>[2,1,1]
[[1,1],[3,5]]=>[[1,1,3,5]]=>[2,1,1]
[[1,1],[4,5]]=>[[1,1,4,5]]=>[2,1,1]
[[1,1],[5,5]]=>[[1,1,5,5]]=>[2,2]
[[1,2],[2,5]]=>[[1,2,2,5]]=>[2,1,1]
[[1,2],[3,5]]=>[[1,2,3,5]]=>[1,1,1,1]
[[1,3],[2,5]]=>[[1,2,5],[3]]=>[1,1,1,1]
[[1,2],[4,5]]=>[[1,2,4,5]]=>[1,1,1,1]
[[1,4],[2,5]]=>[[1,2,5],[4]]=>[1,1,1,1]
[[1,2],[5,5]]=>[[1,2,5,5]]=>[2,1,1]
[[1,3],[3,5]]=>[[1,3,3,5]]=>[2,1,1]
[[1,3],[4,5]]=>[[1,3,4,5]]=>[1,1,1,1]
[[1,4],[3,5]]=>[[1,3,5],[4]]=>[1,1,1,1]
[[1,3],[5,5]]=>[[1,3,5,5]]=>[2,1,1]
[[1,4],[4,5]]=>[[1,4,4,5]]=>[2,1,1]
[[1,4],[5,5]]=>[[1,4,5,5]]=>[2,1,1]
[[2,2],[3,5]]=>[[2,2,3,5]]=>[2,1,1]
[[2,2],[4,5]]=>[[2,2,4,5]]=>[2,1,1]
[[2,2],[5,5]]=>[[2,2,5,5]]=>[2,2]
[[2,3],[3,5]]=>[[2,3,3,5]]=>[2,1,1]
[[2,3],[4,5]]=>[[2,3,4,5]]=>[1,1,1,1]
[[2,4],[3,5]]=>[[2,3,5],[4]]=>[1,1,1,1]
[[2,3],[5,5]]=>[[2,3,5,5]]=>[2,1,1]
[[2,4],[4,5]]=>[[2,4,4,5]]=>[2,1,1]
[[2,4],[5,5]]=>[[2,4,5,5]]=>[2,1,1]
[[3,3],[4,5]]=>[[3,3,4,5]]=>[2,1,1]
[[3,3],[5,5]]=>[[3,3,5,5]]=>[2,2]
[[3,4],[4,5]]=>[[3,4,4,5]]=>[2,1,1]
[[3,4],[5,5]]=>[[3,4,5,5]]=>[2,1,1]
[[4,4],[5,5]]=>[[4,4,5,5]]=>[2,2]
[[1,1],[2],[5]]=>[[1,1,2],[5]]=>[2,1,1]
[[1,1],[3],[5]]=>[[1,1,3],[5]]=>[2,1,1]
[[1,1],[4],[5]]=>[[1,1,4],[5]]=>[2,1,1]
[[1,2],[2],[5]]=>[[1,2,2],[5]]=>[2,1,1]
[[1,2],[3],[5]]=>[[1,2,3],[5]]=>[1,1,1,1]
[[1,3],[2],[5]]=>[[1,2,5],[3]]=>[1,1,1,1]
[[1,5],[2],[3]]=>[[1,2],[3],[5]]=>[1,1,1,1]
[[1,2],[4],[5]]=>[[1,2,4],[5]]=>[1,1,1,1]
[[1,4],[2],[5]]=>[[1,2,5],[4]]=>[1,1,1,1]
[[1,5],[2],[4]]=>[[1,2],[4],[5]]=>[1,1,1,1]
[[1,5],[2],[5]]=>[[1,2,5],[5]]=>[2,1,1]
[[1,3],[3],[5]]=>[[1,3,3],[5]]=>[2,1,1]
[[1,3],[4],[5]]=>[[1,3,4],[5]]=>[1,1,1,1]
[[1,4],[3],[5]]=>[[1,3,5],[4]]=>[1,1,1,1]
[[1,5],[3],[4]]=>[[1,3],[4],[5]]=>[1,1,1,1]
[[1,5],[3],[5]]=>[[1,3,5],[5]]=>[2,1,1]
[[1,4],[4],[5]]=>[[1,4,4],[5]]=>[2,1,1]
[[1,5],[4],[5]]=>[[1,4,5],[5]]=>[2,1,1]
[[2,2],[3],[5]]=>[[2,2,3],[5]]=>[2,1,1]
[[2,2],[4],[5]]=>[[2,2,4],[5]]=>[2,1,1]
[[2,3],[3],[5]]=>[[2,3,3],[5]]=>[2,1,1]
[[2,3],[4],[5]]=>[[2,3,4],[5]]=>[1,1,1,1]
[[2,4],[3],[5]]=>[[2,3,5],[4]]=>[1,1,1,1]
[[2,5],[3],[4]]=>[[2,3],[4],[5]]=>[1,1,1,1]
[[2,5],[3],[5]]=>[[2,3,5],[5]]=>[2,1,1]
[[2,4],[4],[5]]=>[[2,4,4],[5]]=>[2,1,1]
[[2,5],[4],[5]]=>[[2,4,5],[5]]=>[2,1,1]
[[3,3],[4],[5]]=>[[3,3,4],[5]]=>[2,1,1]
[[3,4],[4],[5]]=>[[3,4,4],[5]]=>[2,1,1]
[[3,5],[4],[5]]=>[[3,4,5],[5]]=>[2,1,1]
[[1],[2],[3],[5]]=>[[1,2],[3],[5]]=>[1,1,1,1]
[[1],[2],[4],[5]]=>[[1,2],[4],[5]]=>[1,1,1,1]
[[1],[3],[4],[5]]=>[[1,3],[4],[5]]=>[1,1,1,1]
[[2],[3],[4],[5]]=>[[2,3],[4],[5]]=>[1,1,1,1]
[[1,1,1,1,4]]=>[[1,1,1,1,4]]=>[4,1]
[[1,1,1,2,4]]=>[[1,1,1,2,4]]=>[3,1,1]
[[1,1,1,3,4]]=>[[1,1,1,3,4]]=>[3,1,1]
[[1,1,1,4,4]]=>[[1,1,1,4,4]]=>[3,2]
[[1,1,2,2,4]]=>[[1,1,2,2,4]]=>[2,2,1]
[[1,1,2,3,4]]=>[[1,1,2,3,4]]=>[2,1,1,1]
[[1,1,2,4,4]]=>[[1,1,2,4,4]]=>[2,2,1]
[[1,1,3,3,4]]=>[[1,1,3,3,4]]=>[2,2,1]
[[1,1,3,4,4]]=>[[1,1,3,4,4]]=>[2,2,1]
[[1,1,4,4,4]]=>[[1,1,4,4,4]]=>[3,2]
[[1,2,2,2,4]]=>[[1,2,2,2,4]]=>[3,1,1]
[[1,2,2,3,4]]=>[[1,2,2,3,4]]=>[2,1,1,1]
[[1,2,2,4,4]]=>[[1,2,2,4,4]]=>[2,2,1]
[[1,2,3,3,4]]=>[[1,2,3,3,4]]=>[2,1,1,1]
[[1,2,3,4,4]]=>[[1,2,3,4,4]]=>[2,1,1,1]
[[1,2,4,4,4]]=>[[1,2,4,4,4]]=>[3,1,1]
[[1,3,3,3,4]]=>[[1,3,3,3,4]]=>[3,1,1]
[[1,3,3,4,4]]=>[[1,3,3,4,4]]=>[2,2,1]
[[1,3,4,4,4]]=>[[1,3,4,4,4]]=>[3,1,1]
[[1,4,4,4,4]]=>[[1,4,4,4,4]]=>[4,1]
[[2,2,2,2,4]]=>[[2,2,2,2,4]]=>[4,1]
[[2,2,2,3,4]]=>[[2,2,2,3,4]]=>[3,1,1]
[[2,2,2,4,4]]=>[[2,2,2,4,4]]=>[3,2]
[[2,2,3,3,4]]=>[[2,2,3,3,4]]=>[2,2,1]
[[2,2,3,4,4]]=>[[2,2,3,4,4]]=>[2,2,1]
[[2,2,4,4,4]]=>[[2,2,4,4,4]]=>[3,2]
[[2,3,3,3,4]]=>[[2,3,3,3,4]]=>[3,1,1]
[[2,3,3,4,4]]=>[[2,3,3,4,4]]=>[2,2,1]
[[2,3,4,4,4]]=>[[2,3,4,4,4]]=>[3,1,1]
[[2,4,4,4,4]]=>[[2,4,4,4,4]]=>[4,1]
[[3,3,3,3,4]]=>[[3,3,3,3,4]]=>[4,1]
[[3,3,3,4,4]]=>[[3,3,3,4,4]]=>[3,2]
[[3,3,4,4,4]]=>[[3,3,4,4,4]]=>[3,2]
[[3,4,4,4,4]]=>[[3,4,4,4,4]]=>[4,1]
[[4,4,4,4,4]]=>[[4,4,4,4,4]]=>[5]
[[1,1,1,1],[4]]=>[[1,1,1,1,4]]=>[4,1]
[[1,1,1,2],[4]]=>[[1,1,1,2,4]]=>[3,1,1]
[[1,1,1,4],[2]]=>[[1,1,1,2],[4]]=>[3,1,1]
[[1,1,1,3],[4]]=>[[1,1,1,3,4]]=>[3,1,1]
[[1,1,1,4],[3]]=>[[1,1,1,3],[4]]=>[3,1,1]
[[1,1,1,4],[4]]=>[[1,1,1,4,4]]=>[3,2]
[[1,1,2,2],[4]]=>[[1,1,2,2,4]]=>[2,2,1]
[[1,1,2,4],[2]]=>[[1,1,2,2],[4]]=>[2,2,1]
[[1,1,2,3],[4]]=>[[1,1,2,3,4]]=>[2,1,1,1]
[[1,1,2,4],[3]]=>[[1,1,2,3],[4]]=>[2,1,1,1]
[[1,1,3,4],[2]]=>[[1,1,2,4],[3]]=>[2,1,1,1]
[[1,1,2,4],[4]]=>[[1,1,2,4,4]]=>[2,2,1]
[[1,1,4,4],[2]]=>[[1,1,2,4],[4]]=>[2,2,1]
[[1,1,3,3],[4]]=>[[1,1,3,3,4]]=>[2,2,1]
[[1,1,3,4],[3]]=>[[1,1,3,3],[4]]=>[2,2,1]
[[1,1,3,4],[4]]=>[[1,1,3,4,4]]=>[2,2,1]
[[1,1,4,4],[3]]=>[[1,1,3,4],[4]]=>[2,2,1]
[[1,1,4,4],[4]]=>[[1,1,4,4,4]]=>[3,2]
[[1,2,2,2],[4]]=>[[1,2,2,2,4]]=>[3,1,1]
[[1,2,2,4],[2]]=>[[1,2,2,2],[4]]=>[3,1,1]
[[1,2,2,3],[4]]=>[[1,2,2,3,4]]=>[2,1,1,1]
[[1,2,2,4],[3]]=>[[1,2,2,3],[4]]=>[2,1,1,1]
[[1,2,3,4],[2]]=>[[1,2,2,4],[3]]=>[2,1,1,1]
[[1,2,2,4],[4]]=>[[1,2,2,4,4]]=>[2,2,1]
[[1,2,4,4],[2]]=>[[1,2,2,4],[4]]=>[2,2,1]
[[1,2,3,3],[4]]=>[[1,2,3,3,4]]=>[2,1,1,1]
[[1,2,3,4],[3]]=>[[1,2,3,3],[4]]=>[2,1,1,1]
[[1,3,3,4],[2]]=>[[1,2,3,4],[3]]=>[2,1,1,1]
[[1,2,3,4],[4]]=>[[1,2,3,4,4]]=>[2,1,1,1]
[[1,2,4,4],[3]]=>[[1,2,3,4],[4]]=>[2,1,1,1]
[[1,3,4,4],[2]]=>[[1,2,4,4],[3]]=>[2,1,1,1]
[[1,2,4,4],[4]]=>[[1,2,4,4,4]]=>[3,1,1]
[[1,4,4,4],[2]]=>[[1,2,4,4],[4]]=>[3,1,1]
[[1,3,3,3],[4]]=>[[1,3,3,3,4]]=>[3,1,1]
[[1,3,3,4],[3]]=>[[1,3,3,3],[4]]=>[3,1,1]
[[1,3,3,4],[4]]=>[[1,3,3,4,4]]=>[2,2,1]
[[1,3,4,4],[3]]=>[[1,3,3,4],[4]]=>[2,2,1]
[[1,3,4,4],[4]]=>[[1,3,4,4,4]]=>[3,1,1]
[[1,4,4,4],[3]]=>[[1,3,4,4],[4]]=>[3,1,1]
[[1,4,4,4],[4]]=>[[1,4,4,4,4]]=>[4,1]
[[2,2,2,2],[4]]=>[[2,2,2,2,4]]=>[4,1]
[[2,2,2,3],[4]]=>[[2,2,2,3,4]]=>[3,1,1]
[[2,2,2,4],[3]]=>[[2,2,2,3],[4]]=>[3,1,1]
[[2,2,2,4],[4]]=>[[2,2,2,4,4]]=>[3,2]
[[2,2,3,3],[4]]=>[[2,2,3,3,4]]=>[2,2,1]
[[2,2,3,4],[3]]=>[[2,2,3,3],[4]]=>[2,2,1]
[[2,2,3,4],[4]]=>[[2,2,3,4,4]]=>[2,2,1]
[[2,2,4,4],[3]]=>[[2,2,3,4],[4]]=>[2,2,1]
[[2,2,4,4],[4]]=>[[2,2,4,4,4]]=>[3,2]
[[2,3,3,3],[4]]=>[[2,3,3,3,4]]=>[3,1,1]
[[2,3,3,4],[3]]=>[[2,3,3,3],[4]]=>[3,1,1]
[[2,3,3,4],[4]]=>[[2,3,3,4,4]]=>[2,2,1]
[[2,3,4,4],[3]]=>[[2,3,3,4],[4]]=>[2,2,1]
[[2,3,4,4],[4]]=>[[2,3,4,4,4]]=>[3,1,1]
[[2,4,4,4],[3]]=>[[2,3,4,4],[4]]=>[3,1,1]
[[2,4,4,4],[4]]=>[[2,4,4,4,4]]=>[4,1]
[[3,3,3,3],[4]]=>[[3,3,3,3,4]]=>[4,1]
[[3,3,3,4],[4]]=>[[3,3,3,4,4]]=>[3,2]
[[3,3,4,4],[4]]=>[[3,3,4,4,4]]=>[3,2]
[[3,4,4,4],[4]]=>[[3,4,4,4,4]]=>[4,1]
[[1,1,1],[2,4]]=>[[1,1,1,2,4]]=>[3,1,1]
[[1,1,1],[3,4]]=>[[1,1,1,3,4]]=>[3,1,1]
[[1,1,1],[4,4]]=>[[1,1,1,4,4]]=>[3,2]
[[1,1,2],[2,4]]=>[[1,1,2,2,4]]=>[2,2,1]
[[1,1,4],[2,2]]=>[[1,1,2,2],[4]]=>[2,2,1]
[[1,1,2],[3,4]]=>[[1,1,2,3,4]]=>[2,1,1,1]
[[1,1,3],[2,4]]=>[[1,1,2,4],[3]]=>[2,1,1,1]
[[1,1,4],[2,3]]=>[[1,1,2,3],[4]]=>[2,1,1,1]
[[1,1,2],[4,4]]=>[[1,1,2,4,4]]=>[2,2,1]
[[1,1,4],[2,4]]=>[[1,1,2,4],[4]]=>[2,2,1]
[[1,1,3],[3,4]]=>[[1,1,3,3,4]]=>[2,2,1]
[[1,1,4],[3,3]]=>[[1,1,3,3],[4]]=>[2,2,1]
[[1,1,3],[4,4]]=>[[1,1,3,4,4]]=>[2,2,1]
[[1,1,4],[3,4]]=>[[1,1,3,4],[4]]=>[2,2,1]
[[1,1,4],[4,4]]=>[[1,1,4,4,4]]=>[3,2]
[[1,2,2],[2,4]]=>[[1,2,2,2,4]]=>[3,1,1]
[[1,2,2],[3,4]]=>[[1,2,2,3,4]]=>[2,1,1,1]
[[1,2,3],[2,4]]=>[[1,2,2,4],[3]]=>[2,1,1,1]
[[1,2,4],[2,3]]=>[[1,2,2,3],[4]]=>[2,1,1,1]
[[1,2,2],[4,4]]=>[[1,2,2,4,4]]=>[2,2,1]
[[1,2,4],[2,4]]=>[[1,2,2,4],[4]]=>[2,2,1]
[[1,2,3],[3,4]]=>[[1,2,3,3,4]]=>[2,1,1,1]
[[1,2,4],[3,3]]=>[[1,2,3,3],[4]]=>[2,1,1,1]
[[1,3,3],[2,4]]=>[[1,2,3,4],[3]]=>[2,1,1,1]
[[1,2,3],[4,4]]=>[[1,2,3,4,4]]=>[2,1,1,1]
[[1,2,4],[3,4]]=>[[1,2,3,4],[4]]=>[2,1,1,1]
[[1,3,4],[2,4]]=>[[1,2,4,4],[3]]=>[2,1,1,1]
[[1,2,4],[4,4]]=>[[1,2,4,4,4]]=>[3,1,1]
[[1,3,3],[3,4]]=>[[1,3,3,3,4]]=>[3,1,1]
[[1,3,3],[4,4]]=>[[1,3,3,4,4]]=>[2,2,1]
[[1,3,4],[3,4]]=>[[1,3,3,4],[4]]=>[2,2,1]
[[1,3,4],[4,4]]=>[[1,3,4,4,4]]=>[3,1,1]
[[2,2,2],[3,4]]=>[[2,2,2,3,4]]=>[3,1,1]
[[2,2,2],[4,4]]=>[[2,2,2,4,4]]=>[3,2]
[[2,2,3],[3,4]]=>[[2,2,3,3,4]]=>[2,2,1]
[[2,2,4],[3,3]]=>[[2,2,3,3],[4]]=>[2,2,1]
[[2,2,3],[4,4]]=>[[2,2,3,4,4]]=>[2,2,1]
[[2,2,4],[3,4]]=>[[2,2,3,4],[4]]=>[2,2,1]
[[2,2,4],[4,4]]=>[[2,2,4,4,4]]=>[3,2]
[[2,3,3],[3,4]]=>[[2,3,3,3,4]]=>[3,1,1]
[[2,3,3],[4,4]]=>[[2,3,3,4,4]]=>[2,2,1]
[[2,3,4],[3,4]]=>[[2,3,3,4],[4]]=>[2,2,1]
[[2,3,4],[4,4]]=>[[2,3,4,4,4]]=>[3,1,1]
[[3,3,3],[4,4]]=>[[3,3,3,4,4]]=>[3,2]
[[3,3,4],[4,4]]=>[[3,3,4,4,4]]=>[3,2]
[[1,1,1],[2],[4]]=>[[1,1,1,2],[4]]=>[3,1,1]
[[1,1,1],[3],[4]]=>[[1,1,1,3],[4]]=>[3,1,1]
[[1,1,2],[2],[4]]=>[[1,1,2,2],[4]]=>[2,2,1]
[[1,1,2],[3],[4]]=>[[1,1,2,3],[4]]=>[2,1,1,1]
[[1,1,3],[2],[4]]=>[[1,1,2,4],[3]]=>[2,1,1,1]
[[1,1,4],[2],[3]]=>[[1,1,2],[3],[4]]=>[2,1,1,1]
[[1,1,4],[2],[4]]=>[[1,1,2,4],[4]]=>[2,2,1]
[[1,1,3],[3],[4]]=>[[1,1,3,3],[4]]=>[2,2,1]
[[1,1,4],[3],[4]]=>[[1,1,3,4],[4]]=>[2,2,1]
[[1,2,2],[2],[4]]=>[[1,2,2,2],[4]]=>[3,1,1]
[[1,2,2],[3],[4]]=>[[1,2,2,3],[4]]=>[2,1,1,1]
[[1,2,3],[2],[4]]=>[[1,2,2,4],[3]]=>[2,1,1,1]
[[1,2,4],[2],[3]]=>[[1,2,2],[3],[4]]=>[2,1,1,1]
[[1,2,4],[2],[4]]=>[[1,2,2,4],[4]]=>[2,2,1]
[[1,2,3],[3],[4]]=>[[1,2,3,3],[4]]=>[2,1,1,1]
[[1,3,3],[2],[4]]=>[[1,2,3,4],[3]]=>[2,1,1,1]
[[1,3,4],[2],[3]]=>[[1,2,3],[3],[4]]=>[2,1,1,1]
[[1,2,4],[3],[4]]=>[[1,2,3,4],[4]]=>[2,1,1,1]
[[1,3,4],[2],[4]]=>[[1,2,4,4],[3]]=>[2,1,1,1]
[[1,4,4],[2],[3]]=>[[1,2,4],[3],[4]]=>[2,1,1,1]
[[1,4,4],[2],[4]]=>[[1,2,4,4],[4]]=>[3,1,1]
[[1,3,3],[3],[4]]=>[[1,3,3,3],[4]]=>[3,1,1]
[[1,3,4],[3],[4]]=>[[1,3,3,4],[4]]=>[2,2,1]
[[1,4,4],[3],[4]]=>[[1,3,4,4],[4]]=>[3,1,1]
[[2,2,2],[3],[4]]=>[[2,2,2,3],[4]]=>[3,1,1]
[[2,2,3],[3],[4]]=>[[2,2,3,3],[4]]=>[2,2,1]
[[2,2,4],[3],[4]]=>[[2,2,3,4],[4]]=>[2,2,1]
[[2,3,3],[3],[4]]=>[[2,3,3,3],[4]]=>[3,1,1]
[[2,3,4],[3],[4]]=>[[2,3,3,4],[4]]=>[2,2,1]
[[2,4,4],[3],[4]]=>[[2,3,4,4],[4]]=>[3,1,1]
[[1,1],[2,2],[4]]=>[[1,1,2,2],[4]]=>[2,2,1]
[[1,1],[2,3],[4]]=>[[1,1,2,3],[4]]=>[2,1,1,1]
[[1,1],[2,4],[3]]=>[[1,1,2,4],[3]]=>[2,1,1,1]
[[1,1],[2,4],[4]]=>[[1,1,2,4],[4]]=>[2,2,1]
[[1,1],[3,3],[4]]=>[[1,1,3,3],[4]]=>[2,2,1]
[[1,1],[3,4],[4]]=>[[1,1,3,4],[4]]=>[2,2,1]
[[1,2],[2,3],[4]]=>[[1,2,2,3],[4]]=>[2,1,1,1]
[[1,2],[2,4],[3]]=>[[1,2,2,4],[3]]=>[2,1,1,1]
[[1,2],[2,4],[4]]=>[[1,2,2,4],[4]]=>[2,2,1]
[[1,2],[3,3],[4]]=>[[1,2,3,3],[4]]=>[2,1,1,1]
[[1,3],[2,4],[3]]=>[[1,2,3,4],[3]]=>[2,1,1,1]
[[1,2],[3,4],[4]]=>[[1,2,3,4],[4]]=>[2,1,1,1]
[[1,3],[2,4],[4]]=>[[1,2,4,4],[3]]=>[2,1,1,1]
[[1,3],[3,4],[4]]=>[[1,3,3,4],[4]]=>[2,2,1]
[[2,2],[3,3],[4]]=>[[2,2,3,3],[4]]=>[2,2,1]
[[2,2],[3,4],[4]]=>[[2,2,3,4],[4]]=>[2,2,1]
[[2,3],[3,4],[4]]=>[[2,3,3,4],[4]]=>[2,2,1]
[[1,1],[2],[3],[4]]=>[[1,1,2],[3],[4]]=>[2,1,1,1]
[[1,2],[2],[3],[4]]=>[[1,2,2],[3],[4]]=>[2,1,1,1]
[[1,3],[2],[3],[4]]=>[[1,2,3],[3],[4]]=>[2,1,1,1]
[[1,4],[2],[3],[4]]=>[[1,2,4],[3],[4]]=>[2,1,1,1]
[[1,1,1,1,1,3]]=>[[1,1,1,1,1,3]]=>[5,1]
[[1,1,1,1,2,3]]=>[[1,1,1,1,2,3]]=>[4,1,1]
[[1,1,1,1,3,3]]=>[[1,1,1,1,3,3]]=>[4,2]
[[1,1,1,2,2,3]]=>[[1,1,1,2,2,3]]=>[3,2,1]
[[1,1,1,2,3,3]]=>[[1,1,1,2,3,3]]=>[3,2,1]
[[1,1,1,3,3,3]]=>[[1,1,1,3,3,3]]=>[3,3]
[[1,1,2,2,2,3]]=>[[1,1,2,2,2,3]]=>[3,2,1]
[[1,1,2,2,3,3]]=>[[1,1,2,2,3,3]]=>[2,2,2]
[[1,1,2,3,3,3]]=>[[1,1,2,3,3,3]]=>[3,2,1]
[[1,1,3,3,3,3]]=>[[1,1,3,3,3,3]]=>[4,2]
[[1,2,2,2,2,3]]=>[[1,2,2,2,2,3]]=>[4,1,1]
[[1,2,2,2,3,3]]=>[[1,2,2,2,3,3]]=>[3,2,1]
[[1,2,2,3,3,3]]=>[[1,2,2,3,3,3]]=>[3,2,1]
[[1,2,3,3,3,3]]=>[[1,2,3,3,3,3]]=>[4,1,1]
[[1,3,3,3,3,3]]=>[[1,3,3,3,3,3]]=>[5,1]
[[2,2,2,2,2,3]]=>[[2,2,2,2,2,3]]=>[5,1]
[[2,2,2,2,3,3]]=>[[2,2,2,2,3,3]]=>[4,2]
[[2,2,2,3,3,3]]=>[[2,2,2,3,3,3]]=>[3,3]
[[2,2,3,3,3,3]]=>[[2,2,3,3,3,3]]=>[4,2]
[[2,3,3,3,3,3]]=>[[2,3,3,3,3,3]]=>[5,1]
[[3,3,3,3,3,3]]=>[[3,3,3,3,3,3]]=>[6]
[[1,1,1,1,1],[3]]=>[[1,1,1,1,1,3]]=>[5,1]
[[1,1,1,1,2],[3]]=>[[1,1,1,1,2,3]]=>[4,1,1]
[[1,1,1,1,3],[2]]=>[[1,1,1,1,2],[3]]=>[4,1,1]
[[1,1,1,1,3],[3]]=>[[1,1,1,1,3,3]]=>[4,2]
[[1,1,1,2,2],[3]]=>[[1,1,1,2,2,3]]=>[3,2,1]
[[1,1,1,2,3],[2]]=>[[1,1,1,2,2],[3]]=>[3,2,1]
[[1,1,1,2,3],[3]]=>[[1,1,1,2,3,3]]=>[3,2,1]
[[1,1,1,3,3],[2]]=>[[1,1,1,2,3],[3]]=>[3,2,1]
[[1,1,1,3,3],[3]]=>[[1,1,1,3,3,3]]=>[3,3]
[[1,1,2,2,2],[3]]=>[[1,1,2,2,2,3]]=>[3,2,1]
[[1,1,2,2,3],[2]]=>[[1,1,2,2,2],[3]]=>[3,2,1]
[[1,1,2,2,3],[3]]=>[[1,1,2,2,3,3]]=>[2,2,2]
[[1,1,2,3,3],[2]]=>[[1,1,2,2,3],[3]]=>[2,2,2]
[[1,1,2,3,3],[3]]=>[[1,1,2,3,3,3]]=>[3,2,1]
[[1,1,3,3,3],[2]]=>[[1,1,2,3,3],[3]]=>[3,2,1]
[[1,1,3,3,3],[3]]=>[[1,1,3,3,3,3]]=>[4,2]
[[1,2,2,2,2],[3]]=>[[1,2,2,2,2,3]]=>[4,1,1]
[[1,2,2,2,3],[2]]=>[[1,2,2,2,2],[3]]=>[4,1,1]
[[1,2,2,2,3],[3]]=>[[1,2,2,2,3,3]]=>[3,2,1]
[[1,2,2,3,3],[2]]=>[[1,2,2,2,3],[3]]=>[3,2,1]
[[1,2,2,3,3],[3]]=>[[1,2,2,3,3,3]]=>[3,2,1]
[[1,2,3,3,3],[2]]=>[[1,2,2,3,3],[3]]=>[3,2,1]
[[1,2,3,3,3],[3]]=>[[1,2,3,3,3,3]]=>[4,1,1]
[[1,3,3,3,3],[2]]=>[[1,2,3,3,3],[3]]=>[4,1,1]
[[1,3,3,3,3],[3]]=>[[1,3,3,3,3,3]]=>[5,1]
[[2,2,2,2,2],[3]]=>[[2,2,2,2,2,3]]=>[5,1]
[[2,2,2,2,3],[3]]=>[[2,2,2,2,3,3]]=>[4,2]
[[2,2,2,3,3],[3]]=>[[2,2,2,3,3,3]]=>[3,3]
[[2,2,3,3,3],[3]]=>[[2,2,3,3,3,3]]=>[4,2]
[[2,3,3,3,3],[3]]=>[[2,3,3,3,3,3]]=>[5,1]
[[1,1,1,1],[2,3]]=>[[1,1,1,1,2,3]]=>[4,1,1]
[[1,1,1,1],[3,3]]=>[[1,1,1,1,3,3]]=>[4,2]
[[1,1,1,2],[2,3]]=>[[1,1,1,2,2,3]]=>[3,2,1]
[[1,1,1,3],[2,2]]=>[[1,1,1,2,2],[3]]=>[3,2,1]
[[1,1,1,2],[3,3]]=>[[1,1,1,2,3,3]]=>[3,2,1]
[[1,1,1,3],[2,3]]=>[[1,1,1,2,3],[3]]=>[3,2,1]
[[1,1,1,3],[3,3]]=>[[1,1,1,3,3,3]]=>[3,3]
[[1,1,2,2],[2,3]]=>[[1,1,2,2,2,3]]=>[3,2,1]
[[1,1,2,3],[2,2]]=>[[1,1,2,2,2],[3]]=>[3,2,1]
[[1,1,2,2],[3,3]]=>[[1,1,2,2,3,3]]=>[2,2,2]
[[1,1,2,3],[2,3]]=>[[1,1,2,2,3],[3]]=>[2,2,2]
[[1,1,3,3],[2,2]]=>[[1,1,2,2],[3,3]]=>[2,2,2]
[[1,1,2,3],[3,3]]=>[[1,1,2,3,3,3]]=>[3,2,1]
[[1,1,3,3],[2,3]]=>[[1,1,2,3,3],[3]]=>[3,2,1]
[[1,1,3,3],[3,3]]=>[[1,1,3,3,3,3]]=>[4,2]
[[1,2,2,2],[2,3]]=>[[1,2,2,2,2,3]]=>[4,1,1]
[[1,2,2,2],[3,3]]=>[[1,2,2,2,3,3]]=>[3,2,1]
[[1,2,2,3],[2,3]]=>[[1,2,2,2,3],[3]]=>[3,2,1]
[[1,2,2,3],[3,3]]=>[[1,2,2,3,3,3]]=>[3,2,1]
[[1,2,3,3],[2,3]]=>[[1,2,2,3,3],[3]]=>[3,2,1]
[[1,2,3,3],[3,3]]=>[[1,2,3,3,3,3]]=>[4,1,1]
[[2,2,2,2],[3,3]]=>[[2,2,2,2,3,3]]=>[4,2]
[[2,2,2,3],[3,3]]=>[[2,2,2,3,3,3]]=>[3,3]
[[2,2,3,3],[3,3]]=>[[2,2,3,3,3,3]]=>[4,2]
[[1,1,1,1],[2],[3]]=>[[1,1,1,1,2],[3]]=>[4,1,1]
[[1,1,1,2],[2],[3]]=>[[1,1,1,2,2],[3]]=>[3,2,1]
[[1,1,1,3],[2],[3]]=>[[1,1,1,2,3],[3]]=>[3,2,1]
[[1,1,2,2],[2],[3]]=>[[1,1,2,2,2],[3]]=>[3,2,1]
[[1,1,2,3],[2],[3]]=>[[1,1,2,2,3],[3]]=>[2,2,2]
[[1,1,3,3],[2],[3]]=>[[1,1,2,3,3],[3]]=>[3,2,1]
[[1,2,2,2],[2],[3]]=>[[1,2,2,2,2],[3]]=>[4,1,1]
[[1,2,2,3],[2],[3]]=>[[1,2,2,2,3],[3]]=>[3,2,1]
[[1,2,3,3],[2],[3]]=>[[1,2,2,3,3],[3]]=>[3,2,1]
[[1,3,3,3],[2],[3]]=>[[1,2,3,3,3],[3]]=>[4,1,1]
[[1,1,1],[2,2,3]]=>[[1,1,1,2,2,3]]=>[3,2,1]
[[1,1,1],[2,3,3]]=>[[1,1,1,2,3,3]]=>[3,2,1]
[[1,1,1],[3,3,3]]=>[[1,1,1,3,3,3]]=>[3,3]
[[1,1,2],[2,2,3]]=>[[1,1,2,2,2,3]]=>[3,2,1]
[[1,1,2],[2,3,3]]=>[[1,1,2,2,3,3]]=>[2,2,2]
[[1,1,2],[3,3,3]]=>[[1,1,2,3,3,3]]=>[3,2,1]
[[1,2,2],[2,3,3]]=>[[1,2,2,2,3,3]]=>[3,2,1]
[[1,2,2],[3,3,3]]=>[[1,2,2,3,3,3]]=>[3,2,1]
[[2,2,2],[3,3,3]]=>[[2,2,2,3,3,3]]=>[3,3]
[[1,1,1],[2,2],[3]]=>[[1,1,1,2,2],[3]]=>[3,2,1]
[[1,1,1],[2,3],[3]]=>[[1,1,1,2,3],[3]]=>[3,2,1]
[[1,1,2],[2,2],[3]]=>[[1,1,2,2,2],[3]]=>[3,2,1]
[[1,1,2],[2,3],[3]]=>[[1,1,2,2,3],[3]]=>[2,2,2]
[[1,1,3],[2,2],[3]]=>[[1,1,2,2],[3,3]]=>[2,2,2]
[[1,1,3],[2,3],[3]]=>[[1,1,2,3,3],[3]]=>[3,2,1]
[[1,2,2],[2,3],[3]]=>[[1,2,2,2,3],[3]]=>[3,2,1]
[[1,2,3],[2,3],[3]]=>[[1,2,2,3,3],[3]]=>[3,2,1]
[[1,1],[2,2],[3,3]]=>[[1,1,2,2],[3,3]]=>[2,2,2]
[[1,1,1,1,1,1,2]]=>[[1,1,1,1,1,1,2]]=>[6,1]
[[1,1,1,1,1,2,2]]=>[[1,1,1,1,1,2,2]]=>[5,2]
[[1,1,1,1,2,2,2]]=>[[1,1,1,1,2,2,2]]=>[4,3]
[[1,1,1,2,2,2,2]]=>[[1,1,1,2,2,2,2]]=>[4,3]
[[1,1,2,2,2,2,2]]=>[[1,1,2,2,2,2,2]]=>[5,2]
[[1,2,2,2,2,2,2]]=>[[1,2,2,2,2,2,2]]=>[6,1]
[[2,2,2,2,2,2,2]]=>[[2,2,2,2,2,2,2]]=>[7]
[[1,1,1,1,1,1],[2]]=>[[1,1,1,1,1,1,2]]=>[6,1]
[[1,1,1,1,1,2],[2]]=>[[1,1,1,1,1,2,2]]=>[5,2]
[[1,1,1,1,2,2],[2]]=>[[1,1,1,1,2,2,2]]=>[4,3]
[[1,1,1,2,2,2],[2]]=>[[1,1,1,2,2,2,2]]=>[4,3]
[[1,1,2,2,2,2],[2]]=>[[1,1,2,2,2,2,2]]=>[5,2]
[[1,2,2,2,2,2],[2]]=>[[1,2,2,2,2,2,2]]=>[6,1]
[[1,1,1,1,1],[2,2]]=>[[1,1,1,1,1,2,2]]=>[5,2]
[[1,1,1,1,2],[2,2]]=>[[1,1,1,1,2,2,2]]=>[4,3]
[[1,1,1,2,2],[2,2]]=>[[1,1,1,2,2,2,2]]=>[4,3]
[[1,1,2,2,2],[2,2]]=>[[1,1,2,2,2,2,2]]=>[5,2]
[[1,1,1,1],[2,2,2]]=>[[1,1,1,1,2,2,2]]=>[4,3]
[[1,1,1,2],[2,2,2]]=>[[1,1,1,2,2,2,2]]=>[4,3]
[[1,8]]=>[[1,8]]=>[1,1]
[[2,8]]=>[[2,8]]=>[1,1]
[[3,8]]=>[[3,8]]=>[1,1]
[[4,8]]=>[[4,8]]=>[1,1]
[[5,8]]=>[[5,8]]=>[1,1]
[[6,8]]=>[[6,8]]=>[1,1]
[[7,8]]=>[[7,8]]=>[1,1]
[[8,8]]=>[[8,8]]=>[2]
[[1],[8]]=>[[1,8]]=>[1,1]
[[2],[8]]=>[[2,8]]=>[1,1]
[[3],[8]]=>[[3,8]]=>[1,1]
[[4],[8]]=>[[4,8]]=>[1,1]
[[5],[8]]=>[[5,8]]=>[1,1]
[[6],[8]]=>[[6,8]]=>[1,1]
[[7],[8]]=>[[7,8]]=>[1,1]
[[1,1,7]]=>[[1,1,7]]=>[2,1]
[[1,2,7]]=>[[1,2,7]]=>[1,1,1]
[[1,3,7]]=>[[1,3,7]]=>[1,1,1]
[[1,4,7]]=>[[1,4,7]]=>[1,1,1]
[[1,5,7]]=>[[1,5,7]]=>[1,1,1]
[[1,6,7]]=>[[1,6,7]]=>[1,1,1]
[[1,7,7]]=>[[1,7,7]]=>[2,1]
[[2,2,7]]=>[[2,2,7]]=>[2,1]
[[2,3,7]]=>[[2,3,7]]=>[1,1,1]
[[2,4,7]]=>[[2,4,7]]=>[1,1,1]
[[2,5,7]]=>[[2,5,7]]=>[1,1,1]
[[2,6,7]]=>[[2,6,7]]=>[1,1,1]
[[2,7,7]]=>[[2,7,7]]=>[2,1]
[[3,3,7]]=>[[3,3,7]]=>[2,1]
[[3,4,7]]=>[[3,4,7]]=>[1,1,1]
[[3,5,7]]=>[[3,5,7]]=>[1,1,1]
[[3,6,7]]=>[[3,6,7]]=>[1,1,1]
[[3,7,7]]=>[[3,7,7]]=>[2,1]
[[4,4,7]]=>[[4,4,7]]=>[2,1]
[[4,5,7]]=>[[4,5,7]]=>[1,1,1]
[[4,6,7]]=>[[4,6,7]]=>[1,1,1]
[[4,7,7]]=>[[4,7,7]]=>[2,1]
[[5,5,7]]=>[[5,5,7]]=>[2,1]
[[5,6,7]]=>[[5,6,7]]=>[1,1,1]
[[5,7,7]]=>[[5,7,7]]=>[2,1]
[[6,6,7]]=>[[6,6,7]]=>[2,1]
[[6,7,7]]=>[[6,7,7]]=>[2,1]
[[7,7,7]]=>[[7,7,7]]=>[3]
[[1,1],[7]]=>[[1,1,7]]=>[2,1]
[[1,2],[7]]=>[[1,2,7]]=>[1,1,1]
[[1,7],[2]]=>[[1,2],[7]]=>[1,1,1]
[[1,3],[7]]=>[[1,3,7]]=>[1,1,1]
[[1,7],[3]]=>[[1,3],[7]]=>[1,1,1]
[[1,4],[7]]=>[[1,4,7]]=>[1,1,1]
[[1,7],[4]]=>[[1,4],[7]]=>[1,1,1]
[[1,5],[7]]=>[[1,5,7]]=>[1,1,1]
[[1,7],[5]]=>[[1,5],[7]]=>[1,1,1]
[[1,6],[7]]=>[[1,6,7]]=>[1,1,1]
[[1,7],[6]]=>[[1,6],[7]]=>[1,1,1]
[[1,7],[7]]=>[[1,7,7]]=>[2,1]
[[2,2],[7]]=>[[2,2,7]]=>[2,1]
[[2,3],[7]]=>[[2,3,7]]=>[1,1,1]
[[2,7],[3]]=>[[2,3],[7]]=>[1,1,1]
[[2,4],[7]]=>[[2,4,7]]=>[1,1,1]
[[2,7],[4]]=>[[2,4],[7]]=>[1,1,1]
[[2,5],[7]]=>[[2,5,7]]=>[1,1,1]
[[2,7],[5]]=>[[2,5],[7]]=>[1,1,1]
[[2,6],[7]]=>[[2,6,7]]=>[1,1,1]
[[2,7],[6]]=>[[2,6],[7]]=>[1,1,1]
[[2,7],[7]]=>[[2,7,7]]=>[2,1]
[[3,3],[7]]=>[[3,3,7]]=>[2,1]
[[3,4],[7]]=>[[3,4,7]]=>[1,1,1]
[[3,7],[4]]=>[[3,4],[7]]=>[1,1,1]
[[3,5],[7]]=>[[3,5,7]]=>[1,1,1]
[[3,7],[5]]=>[[3,5],[7]]=>[1,1,1]
[[3,6],[7]]=>[[3,6,7]]=>[1,1,1]
[[3,7],[6]]=>[[3,6],[7]]=>[1,1,1]
[[3,7],[7]]=>[[3,7,7]]=>[2,1]
[[4,4],[7]]=>[[4,4,7]]=>[2,1]
[[4,5],[7]]=>[[4,5,7]]=>[1,1,1]
[[4,7],[5]]=>[[4,5],[7]]=>[1,1,1]
[[4,6],[7]]=>[[4,6,7]]=>[1,1,1]
[[4,7],[6]]=>[[4,6],[7]]=>[1,1,1]
[[4,7],[7]]=>[[4,7,7]]=>[2,1]
[[5,5],[7]]=>[[5,5,7]]=>[2,1]
[[5,6],[7]]=>[[5,6,7]]=>[1,1,1]
[[5,7],[6]]=>[[5,6],[7]]=>[1,1,1]
[[5,7],[7]]=>[[5,7,7]]=>[2,1]
[[6,6],[7]]=>[[6,6,7]]=>[2,1]
[[6,7],[7]]=>[[6,7,7]]=>[2,1]
[[1],[2],[7]]=>[[1,2],[7]]=>[1,1,1]
[[1],[3],[7]]=>[[1,3],[7]]=>[1,1,1]
[[1],[4],[7]]=>[[1,4],[7]]=>[1,1,1]
[[1],[5],[7]]=>[[1,5],[7]]=>[1,1,1]
[[1],[6],[7]]=>[[1,6],[7]]=>[1,1,1]
[[2],[3],[7]]=>[[2,3],[7]]=>[1,1,1]
[[2],[4],[7]]=>[[2,4],[7]]=>[1,1,1]
[[2],[5],[7]]=>[[2,5],[7]]=>[1,1,1]
[[2],[6],[7]]=>[[2,6],[7]]=>[1,1,1]
[[3],[4],[7]]=>[[3,4],[7]]=>[1,1,1]
[[3],[5],[7]]=>[[3,5],[7]]=>[1,1,1]
[[3],[6],[7]]=>[[3,6],[7]]=>[1,1,1]
[[4],[5],[7]]=>[[4,5],[7]]=>[1,1,1]
[[4],[6],[7]]=>[[4,6],[7]]=>[1,1,1]
[[5],[6],[7]]=>[[5,6],[7]]=>[1,1,1]
[[1,1,1,6]]=>[[1,1,1,6]]=>[3,1]
[[1,1,2,6]]=>[[1,1,2,6]]=>[2,1,1]
[[1,1,3,6]]=>[[1,1,3,6]]=>[2,1,1]
[[1,1,4,6]]=>[[1,1,4,6]]=>[2,1,1]
[[1,1,5,6]]=>[[1,1,5,6]]=>[2,1,1]
[[1,1,6,6]]=>[[1,1,6,6]]=>[2,2]
[[1,2,2,6]]=>[[1,2,2,6]]=>[2,1,1]
[[1,2,3,6]]=>[[1,2,3,6]]=>[1,1,1,1]
[[1,2,4,6]]=>[[1,2,4,6]]=>[1,1,1,1]
[[1,2,5,6]]=>[[1,2,5,6]]=>[1,1,1,1]
[[1,2,6,6]]=>[[1,2,6,6]]=>[2,1,1]
[[1,3,3,6]]=>[[1,3,3,6]]=>[2,1,1]
[[1,3,4,6]]=>[[1,3,4,6]]=>[1,1,1,1]
[[1,3,5,6]]=>[[1,3,5,6]]=>[1,1,1,1]
[[1,3,6,6]]=>[[1,3,6,6]]=>[2,1,1]
[[1,4,4,6]]=>[[1,4,4,6]]=>[2,1,1]
[[1,4,5,6]]=>[[1,4,5,6]]=>[1,1,1,1]
[[1,4,6,6]]=>[[1,4,6,6]]=>[2,1,1]
[[1,5,5,6]]=>[[1,5,5,6]]=>[2,1,1]
[[1,5,6,6]]=>[[1,5,6,6]]=>[2,1,1]
[[1,6,6,6]]=>[[1,6,6,6]]=>[3,1]
[[2,2,2,6]]=>[[2,2,2,6]]=>[3,1]
[[2,2,3,6]]=>[[2,2,3,6]]=>[2,1,1]
[[2,2,4,6]]=>[[2,2,4,6]]=>[2,1,1]
[[2,2,5,6]]=>[[2,2,5,6]]=>[2,1,1]
[[2,2,6,6]]=>[[2,2,6,6]]=>[2,2]
[[2,3,3,6]]=>[[2,3,3,6]]=>[2,1,1]
[[2,3,4,6]]=>[[2,3,4,6]]=>[1,1,1,1]
[[2,3,5,6]]=>[[2,3,5,6]]=>[1,1,1,1]
[[2,3,6,6]]=>[[2,3,6,6]]=>[2,1,1]
[[2,4,4,6]]=>[[2,4,4,6]]=>[2,1,1]
[[2,4,5,6]]=>[[2,4,5,6]]=>[1,1,1,1]
[[2,4,6,6]]=>[[2,4,6,6]]=>[2,1,1]
[[2,5,5,6]]=>[[2,5,5,6]]=>[2,1,1]
[[2,5,6,6]]=>[[2,5,6,6]]=>[2,1,1]
[[2,6,6,6]]=>[[2,6,6,6]]=>[3,1]
[[3,3,3,6]]=>[[3,3,3,6]]=>[3,1]
[[3,3,4,6]]=>[[3,3,4,6]]=>[2,1,1]
[[3,3,5,6]]=>[[3,3,5,6]]=>[2,1,1]
[[3,3,6,6]]=>[[3,3,6,6]]=>[2,2]
[[3,4,4,6]]=>[[3,4,4,6]]=>[2,1,1]
[[3,4,5,6]]=>[[3,4,5,6]]=>[1,1,1,1]
[[3,4,6,6]]=>[[3,4,6,6]]=>[2,1,1]
[[3,5,5,6]]=>[[3,5,5,6]]=>[2,1,1]
[[3,5,6,6]]=>[[3,5,6,6]]=>[2,1,1]
[[3,6,6,6]]=>[[3,6,6,6]]=>[3,1]
[[4,4,4,6]]=>[[4,4,4,6]]=>[3,1]
[[4,4,5,6]]=>[[4,4,5,6]]=>[2,1,1]
[[4,4,6,6]]=>[[4,4,6,6]]=>[2,2]
[[4,5,5,6]]=>[[4,5,5,6]]=>[2,1,1]
[[4,5,6,6]]=>[[4,5,6,6]]=>[2,1,1]
[[4,6,6,6]]=>[[4,6,6,6]]=>[3,1]
[[5,5,5,6]]=>[[5,5,5,6]]=>[3,1]
[[5,5,6,6]]=>[[5,5,6,6]]=>[2,2]
[[5,6,6,6]]=>[[5,6,6,6]]=>[3,1]
[[6,6,6,6]]=>[[6,6,6,6]]=>[4]
[[1,1,1],[6]]=>[[1,1,1,6]]=>[3,1]
[[1,1,2],[6]]=>[[1,1,2,6]]=>[2,1,1]
[[1,1,6],[2]]=>[[1,1,2],[6]]=>[2,1,1]
[[1,1,3],[6]]=>[[1,1,3,6]]=>[2,1,1]
[[1,1,6],[3]]=>[[1,1,3],[6]]=>[2,1,1]
[[1,1,4],[6]]=>[[1,1,4,6]]=>[2,1,1]
[[1,1,6],[4]]=>[[1,1,4],[6]]=>[2,1,1]
[[1,1,5],[6]]=>[[1,1,5,6]]=>[2,1,1]
[[1,1,6],[5]]=>[[1,1,5],[6]]=>[2,1,1]
[[1,1,6],[6]]=>[[1,1,6,6]]=>[2,2]
[[1,2,2],[6]]=>[[1,2,2,6]]=>[2,1,1]
[[1,2,6],[2]]=>[[1,2,2],[6]]=>[2,1,1]
[[1,2,3],[6]]=>[[1,2,3,6]]=>[1,1,1,1]
[[1,2,6],[3]]=>[[1,2,3],[6]]=>[1,1,1,1]
[[1,3,6],[2]]=>[[1,2,6],[3]]=>[1,1,1,1]
[[1,2,4],[6]]=>[[1,2,4,6]]=>[1,1,1,1]
[[1,2,6],[4]]=>[[1,2,4],[6]]=>[1,1,1,1]
[[1,4,6],[2]]=>[[1,2,6],[4]]=>[1,1,1,1]
[[1,2,5],[6]]=>[[1,2,5,6]]=>[1,1,1,1]
[[1,2,6],[5]]=>[[1,2,5],[6]]=>[1,1,1,1]
[[1,5,6],[2]]=>[[1,2,6],[5]]=>[1,1,1,1]
[[1,2,6],[6]]=>[[1,2,6,6]]=>[2,1,1]
[[1,6,6],[2]]=>[[1,2,6],[6]]=>[2,1,1]
[[1,3,3],[6]]=>[[1,3,3,6]]=>[2,1,1]
[[1,3,6],[3]]=>[[1,3,3],[6]]=>[2,1,1]
[[1,3,4],[6]]=>[[1,3,4,6]]=>[1,1,1,1]
[[1,3,6],[4]]=>[[1,3,4],[6]]=>[1,1,1,1]
[[1,4,6],[3]]=>[[1,3,6],[4]]=>[1,1,1,1]
[[1,3,5],[6]]=>[[1,3,5,6]]=>[1,1,1,1]
[[1,3,6],[5]]=>[[1,3,5],[6]]=>[1,1,1,1]
[[1,5,6],[3]]=>[[1,3,6],[5]]=>[1,1,1,1]
[[1,3,6],[6]]=>[[1,3,6,6]]=>[2,1,1]
[[1,6,6],[3]]=>[[1,3,6],[6]]=>[2,1,1]
[[1,4,4],[6]]=>[[1,4,4,6]]=>[2,1,1]
[[1,4,6],[4]]=>[[1,4,4],[6]]=>[2,1,1]
[[1,4,5],[6]]=>[[1,4,5,6]]=>[1,1,1,1]
[[1,4,6],[5]]=>[[1,4,5],[6]]=>[1,1,1,1]
[[1,5,6],[4]]=>[[1,4,6],[5]]=>[1,1,1,1]
[[1,4,6],[6]]=>[[1,4,6,6]]=>[2,1,1]
[[1,6,6],[4]]=>[[1,4,6],[6]]=>[2,1,1]
[[1,5,5],[6]]=>[[1,5,5,6]]=>[2,1,1]
[[1,5,6],[5]]=>[[1,5,5],[6]]=>[2,1,1]
[[1,5,6],[6]]=>[[1,5,6,6]]=>[2,1,1]
[[1,6,6],[5]]=>[[1,5,6],[6]]=>[2,1,1]
[[1,6,6],[6]]=>[[1,6,6,6]]=>[3,1]
[[2,2,2],[6]]=>[[2,2,2,6]]=>[3,1]
[[2,2,3],[6]]=>[[2,2,3,6]]=>[2,1,1]
[[2,2,6],[3]]=>[[2,2,3],[6]]=>[2,1,1]
[[2,2,4],[6]]=>[[2,2,4,6]]=>[2,1,1]
[[2,2,6],[4]]=>[[2,2,4],[6]]=>[2,1,1]
[[2,2,5],[6]]=>[[2,2,5,6]]=>[2,1,1]
[[2,2,6],[5]]=>[[2,2,5],[6]]=>[2,1,1]
[[2,2,6],[6]]=>[[2,2,6,6]]=>[2,2]
[[2,3,3],[6]]=>[[2,3,3,6]]=>[2,1,1]
[[2,3,6],[3]]=>[[2,3,3],[6]]=>[2,1,1]
[[2,3,4],[6]]=>[[2,3,4,6]]=>[1,1,1,1]
[[2,3,6],[4]]=>[[2,3,4],[6]]=>[1,1,1,1]
[[2,4,6],[3]]=>[[2,3,6],[4]]=>[1,1,1,1]
[[2,3,5],[6]]=>[[2,3,5,6]]=>[1,1,1,1]
[[2,3,6],[5]]=>[[2,3,5],[6]]=>[1,1,1,1]
[[2,5,6],[3]]=>[[2,3,6],[5]]=>[1,1,1,1]
[[2,3,6],[6]]=>[[2,3,6,6]]=>[2,1,1]
[[2,6,6],[3]]=>[[2,3,6],[6]]=>[2,1,1]
[[2,4,4],[6]]=>[[2,4,4,6]]=>[2,1,1]
[[2,4,6],[4]]=>[[2,4,4],[6]]=>[2,1,1]
[[2,4,5],[6]]=>[[2,4,5,6]]=>[1,1,1,1]
[[2,4,6],[5]]=>[[2,4,5],[6]]=>[1,1,1,1]
[[2,5,6],[4]]=>[[2,4,6],[5]]=>[1,1,1,1]
[[2,4,6],[6]]=>[[2,4,6,6]]=>[2,1,1]
[[2,6,6],[4]]=>[[2,4,6],[6]]=>[2,1,1]
[[2,5,5],[6]]=>[[2,5,5,6]]=>[2,1,1]
[[2,5,6],[5]]=>[[2,5,5],[6]]=>[2,1,1]
[[2,5,6],[6]]=>[[2,5,6,6]]=>[2,1,1]
[[2,6,6],[5]]=>[[2,5,6],[6]]=>[2,1,1]
[[2,6,6],[6]]=>[[2,6,6,6]]=>[3,1]
[[3,3,3],[6]]=>[[3,3,3,6]]=>[3,1]
[[3,3,4],[6]]=>[[3,3,4,6]]=>[2,1,1]
[[3,3,6],[4]]=>[[3,3,4],[6]]=>[2,1,1]
[[3,3,5],[6]]=>[[3,3,5,6]]=>[2,1,1]
[[3,3,6],[5]]=>[[3,3,5],[6]]=>[2,1,1]
[[3,3,6],[6]]=>[[3,3,6,6]]=>[2,2]
[[3,4,4],[6]]=>[[3,4,4,6]]=>[2,1,1]
[[3,4,6],[4]]=>[[3,4,4],[6]]=>[2,1,1]
[[3,4,5],[6]]=>[[3,4,5,6]]=>[1,1,1,1]
[[3,4,6],[5]]=>[[3,4,5],[6]]=>[1,1,1,1]
[[3,5,6],[4]]=>[[3,4,6],[5]]=>[1,1,1,1]
[[3,4,6],[6]]=>[[3,4,6,6]]=>[2,1,1]
[[3,6,6],[4]]=>[[3,4,6],[6]]=>[2,1,1]
[[3,5,5],[6]]=>[[3,5,5,6]]=>[2,1,1]
[[3,5,6],[5]]=>[[3,5,5],[6]]=>[2,1,1]
[[3,5,6],[6]]=>[[3,5,6,6]]=>[2,1,1]
[[3,6,6],[5]]=>[[3,5,6],[6]]=>[2,1,1]
[[3,6,6],[6]]=>[[3,6,6,6]]=>[3,1]
[[4,4,4],[6]]=>[[4,4,4,6]]=>[3,1]
[[4,4,5],[6]]=>[[4,4,5,6]]=>[2,1,1]
[[4,4,6],[5]]=>[[4,4,5],[6]]=>[2,1,1]
[[4,4,6],[6]]=>[[4,4,6,6]]=>[2,2]
[[4,5,5],[6]]=>[[4,5,5,6]]=>[2,1,1]
[[4,5,6],[5]]=>[[4,5,5],[6]]=>[2,1,1]
[[4,5,6],[6]]=>[[4,5,6,6]]=>[2,1,1]
[[4,6,6],[5]]=>[[4,5,6],[6]]=>[2,1,1]
[[4,6,6],[6]]=>[[4,6,6,6]]=>[3,1]
[[5,5,5],[6]]=>[[5,5,5,6]]=>[3,1]
[[5,5,6],[6]]=>[[5,5,6,6]]=>[2,2]
[[5,6,6],[6]]=>[[5,6,6,6]]=>[3,1]
[[1,1],[2,6]]=>[[1,1,2,6]]=>[2,1,1]
[[1,1],[3,6]]=>[[1,1,3,6]]=>[2,1,1]
[[1,1],[4,6]]=>[[1,1,4,6]]=>[2,1,1]
[[1,1],[5,6]]=>[[1,1,5,6]]=>[2,1,1]
[[1,1],[6,6]]=>[[1,1,6,6]]=>[2,2]
[[1,2],[2,6]]=>[[1,2,2,6]]=>[2,1,1]
[[1,2],[3,6]]=>[[1,2,3,6]]=>[1,1,1,1]
[[1,3],[2,6]]=>[[1,2,6],[3]]=>[1,1,1,1]
[[1,2],[4,6]]=>[[1,2,4,6]]=>[1,1,1,1]
[[1,4],[2,6]]=>[[1,2,6],[4]]=>[1,1,1,1]
[[1,2],[5,6]]=>[[1,2,5,6]]=>[1,1,1,1]
[[1,5],[2,6]]=>[[1,2,6],[5]]=>[1,1,1,1]
[[1,2],[6,6]]=>[[1,2,6,6]]=>[2,1,1]
[[1,3],[3,6]]=>[[1,3,3,6]]=>[2,1,1]
[[1,3],[4,6]]=>[[1,3,4,6]]=>[1,1,1,1]
[[1,4],[3,6]]=>[[1,3,6],[4]]=>[1,1,1,1]
[[1,3],[5,6]]=>[[1,3,5,6]]=>[1,1,1,1]
[[1,5],[3,6]]=>[[1,3,6],[5]]=>[1,1,1,1]
[[1,3],[6,6]]=>[[1,3,6,6]]=>[2,1,1]
[[1,4],[4,6]]=>[[1,4,4,6]]=>[2,1,1]
[[1,4],[5,6]]=>[[1,4,5,6]]=>[1,1,1,1]
[[1,5],[4,6]]=>[[1,4,6],[5]]=>[1,1,1,1]
[[1,4],[6,6]]=>[[1,4,6,6]]=>[2,1,1]
[[1,5],[5,6]]=>[[1,5,5,6]]=>[2,1,1]
[[1,5],[6,6]]=>[[1,5,6,6]]=>[2,1,1]
[[2,2],[3,6]]=>[[2,2,3,6]]=>[2,1,1]
[[2,2],[4,6]]=>[[2,2,4,6]]=>[2,1,1]
[[2,2],[5,6]]=>[[2,2,5,6]]=>[2,1,1]
[[2,2],[6,6]]=>[[2,2,6,6]]=>[2,2]
[[2,3],[3,6]]=>[[2,3,3,6]]=>[2,1,1]
[[2,3],[4,6]]=>[[2,3,4,6]]=>[1,1,1,1]
[[2,4],[3,6]]=>[[2,3,6],[4]]=>[1,1,1,1]
[[2,3],[5,6]]=>[[2,3,5,6]]=>[1,1,1,1]
[[2,5],[3,6]]=>[[2,3,6],[5]]=>[1,1,1,1]
[[2,3],[6,6]]=>[[2,3,6,6]]=>[2,1,1]
[[2,4],[4,6]]=>[[2,4,4,6]]=>[2,1,1]
[[2,4],[5,6]]=>[[2,4,5,6]]=>[1,1,1,1]
[[2,5],[4,6]]=>[[2,4,6],[5]]=>[1,1,1,1]
[[2,4],[6,6]]=>[[2,4,6,6]]=>[2,1,1]
[[2,5],[5,6]]=>[[2,5,5,6]]=>[2,1,1]
[[2,5],[6,6]]=>[[2,5,6,6]]=>[2,1,1]
[[3,3],[4,6]]=>[[3,3,4,6]]=>[2,1,1]
[[3,3],[5,6]]=>[[3,3,5,6]]=>[2,1,1]
[[3,3],[6,6]]=>[[3,3,6,6]]=>[2,2]
[[3,4],[4,6]]=>[[3,4,4,6]]=>[2,1,1]
[[3,4],[5,6]]=>[[3,4,5,6]]=>[1,1,1,1]
[[3,5],[4,6]]=>[[3,4,6],[5]]=>[1,1,1,1]
[[3,4],[6,6]]=>[[3,4,6,6]]=>[2,1,1]
[[3,5],[5,6]]=>[[3,5,5,6]]=>[2,1,1]
[[3,5],[6,6]]=>[[3,5,6,6]]=>[2,1,1]
[[4,4],[5,6]]=>[[4,4,5,6]]=>[2,1,1]
[[4,4],[6,6]]=>[[4,4,6,6]]=>[2,2]
[[4,5],[5,6]]=>[[4,5,5,6]]=>[2,1,1]
[[4,5],[6,6]]=>[[4,5,6,6]]=>[2,1,1]
[[5,5],[6,6]]=>[[5,5,6,6]]=>[2,2]
[[1,1],[2],[6]]=>[[1,1,2],[6]]=>[2,1,1]
[[1,1],[3],[6]]=>[[1,1,3],[6]]=>[2,1,1]
[[1,1],[4],[6]]=>[[1,1,4],[6]]=>[2,1,1]
[[1,1],[5],[6]]=>[[1,1,5],[6]]=>[2,1,1]
[[1,2],[2],[6]]=>[[1,2,2],[6]]=>[2,1,1]
[[1,2],[3],[6]]=>[[1,2,3],[6]]=>[1,1,1,1]
[[1,3],[2],[6]]=>[[1,2,6],[3]]=>[1,1,1,1]
[[1,6],[2],[3]]=>[[1,2],[3],[6]]=>[1,1,1,1]
[[1,2],[4],[6]]=>[[1,2,4],[6]]=>[1,1,1,1]
[[1,4],[2],[6]]=>[[1,2,6],[4]]=>[1,1,1,1]
[[1,6],[2],[4]]=>[[1,2],[4],[6]]=>[1,1,1,1]
[[1,2],[5],[6]]=>[[1,2,5],[6]]=>[1,1,1,1]
[[1,5],[2],[6]]=>[[1,2,6],[5]]=>[1,1,1,1]
[[1,6],[2],[5]]=>[[1,2],[5],[6]]=>[1,1,1,1]
[[1,6],[2],[6]]=>[[1,2,6],[6]]=>[2,1,1]
[[1,3],[3],[6]]=>[[1,3,3],[6]]=>[2,1,1]
[[1,3],[4],[6]]=>[[1,3,4],[6]]=>[1,1,1,1]
[[1,4],[3],[6]]=>[[1,3,6],[4]]=>[1,1,1,1]
[[1,6],[3],[4]]=>[[1,3],[4],[6]]=>[1,1,1,1]
[[1,3],[5],[6]]=>[[1,3,5],[6]]=>[1,1,1,1]
[[1,5],[3],[6]]=>[[1,3,6],[5]]=>[1,1,1,1]
[[1,6],[3],[5]]=>[[1,3],[5],[6]]=>[1,1,1,1]
[[1,6],[3],[6]]=>[[1,3,6],[6]]=>[2,1,1]
[[1,4],[4],[6]]=>[[1,4,4],[6]]=>[2,1,1]
[[1,4],[5],[6]]=>[[1,4,5],[6]]=>[1,1,1,1]
[[1,5],[4],[6]]=>[[1,4,6],[5]]=>[1,1,1,1]
[[1,6],[4],[5]]=>[[1,4],[5],[6]]=>[1,1,1,1]
[[1,6],[4],[6]]=>[[1,4,6],[6]]=>[2,1,1]
[[1,5],[5],[6]]=>[[1,5,5],[6]]=>[2,1,1]
[[1,6],[5],[6]]=>[[1,5,6],[6]]=>[2,1,1]
[[2,2],[3],[6]]=>[[2,2,3],[6]]=>[2,1,1]
[[2,2],[4],[6]]=>[[2,2,4],[6]]=>[2,1,1]
[[2,2],[5],[6]]=>[[2,2,5],[6]]=>[2,1,1]
[[2,3],[3],[6]]=>[[2,3,3],[6]]=>[2,1,1]
[[2,3],[4],[6]]=>[[2,3,4],[6]]=>[1,1,1,1]
[[2,4],[3],[6]]=>[[2,3,6],[4]]=>[1,1,1,1]
[[2,6],[3],[4]]=>[[2,3],[4],[6]]=>[1,1,1,1]
[[2,3],[5],[6]]=>[[2,3,5],[6]]=>[1,1,1,1]
[[2,5],[3],[6]]=>[[2,3,6],[5]]=>[1,1,1,1]
[[2,6],[3],[5]]=>[[2,3],[5],[6]]=>[1,1,1,1]
[[2,6],[3],[6]]=>[[2,3,6],[6]]=>[2,1,1]
[[2,4],[4],[6]]=>[[2,4,4],[6]]=>[2,1,1]
[[2,4],[5],[6]]=>[[2,4,5],[6]]=>[1,1,1,1]
[[2,5],[4],[6]]=>[[2,4,6],[5]]=>[1,1,1,1]
[[2,6],[4],[5]]=>[[2,4],[5],[6]]=>[1,1,1,1]
[[2,6],[4],[6]]=>[[2,4,6],[6]]=>[2,1,1]
[[2,5],[5],[6]]=>[[2,5,5],[6]]=>[2,1,1]
[[2,6],[5],[6]]=>[[2,5,6],[6]]=>[2,1,1]
[[3,3],[4],[6]]=>[[3,3,4],[6]]=>[2,1,1]
[[3,3],[5],[6]]=>[[3,3,5],[6]]=>[2,1,1]
[[3,4],[4],[6]]=>[[3,4,4],[6]]=>[2,1,1]
[[3,4],[5],[6]]=>[[3,4,5],[6]]=>[1,1,1,1]
[[3,5],[4],[6]]=>[[3,4,6],[5]]=>[1,1,1,1]
[[3,6],[4],[5]]=>[[3,4],[5],[6]]=>[1,1,1,1]
[[3,6],[4],[6]]=>[[3,4,6],[6]]=>[2,1,1]
[[3,5],[5],[6]]=>[[3,5,5],[6]]=>[2,1,1]
[[3,6],[5],[6]]=>[[3,5,6],[6]]=>[2,1,1]
[[4,4],[5],[6]]=>[[4,4,5],[6]]=>[2,1,1]
[[4,5],[5],[6]]=>[[4,5,5],[6]]=>[2,1,1]
[[4,6],[5],[6]]=>[[4,5,6],[6]]=>[2,1,1]
[[1],[2],[3],[6]]=>[[1,2],[3],[6]]=>[1,1,1,1]
[[1],[2],[4],[6]]=>[[1,2],[4],[6]]=>[1,1,1,1]
[[1],[2],[5],[6]]=>[[1,2],[5],[6]]=>[1,1,1,1]
[[1],[3],[4],[6]]=>[[1,3],[4],[6]]=>[1,1,1,1]
[[1],[3],[5],[6]]=>[[1,3],[5],[6]]=>[1,1,1,1]
[[1],[4],[5],[6]]=>[[1,4],[5],[6]]=>[1,1,1,1]
[[2],[3],[4],[6]]=>[[2,3],[4],[6]]=>[1,1,1,1]
[[2],[3],[5],[6]]=>[[2,3],[5],[6]]=>[1,1,1,1]
[[2],[4],[5],[6]]=>[[2,4],[5],[6]]=>[1,1,1,1]
[[3],[4],[5],[6]]=>[[3,4],[5],[6]]=>[1,1,1,1]
[[1,1,1,1,5]]=>[[1,1,1,1,5]]=>[4,1]
[[1,1,1,2,5]]=>[[1,1,1,2,5]]=>[3,1,1]
[[1,1,1,3,5]]=>[[1,1,1,3,5]]=>[3,1,1]
[[1,1,1,4,5]]=>[[1,1,1,4,5]]=>[3,1,1]
[[1,1,1,5,5]]=>[[1,1,1,5,5]]=>[3,2]
[[1,1,2,2,5]]=>[[1,1,2,2,5]]=>[2,2,1]
[[1,1,2,3,5]]=>[[1,1,2,3,5]]=>[2,1,1,1]
[[1,1,2,4,5]]=>[[1,1,2,4,5]]=>[2,1,1,1]
[[1,1,2,5,5]]=>[[1,1,2,5,5]]=>[2,2,1]
[[1,1,3,3,5]]=>[[1,1,3,3,5]]=>[2,2,1]
[[1,1,3,4,5]]=>[[1,1,3,4,5]]=>[2,1,1,1]
[[1,1,3,5,5]]=>[[1,1,3,5,5]]=>[2,2,1]
[[1,1,4,4,5]]=>[[1,1,4,4,5]]=>[2,2,1]
[[1,1,4,5,5]]=>[[1,1,4,5,5]]=>[2,2,1]
[[1,1,5,5,5]]=>[[1,1,5,5,5]]=>[3,2]
[[1,2,2,2,5]]=>[[1,2,2,2,5]]=>[3,1,1]
[[1,2,2,3,5]]=>[[1,2,2,3,5]]=>[2,1,1,1]
[[1,2,2,4,5]]=>[[1,2,2,4,5]]=>[2,1,1,1]
[[1,2,2,5,5]]=>[[1,2,2,5,5]]=>[2,2,1]
[[1,2,3,3,5]]=>[[1,2,3,3,5]]=>[2,1,1,1]
[[1,2,3,4,5]]=>[[1,2,3,4,5]]=>[1,1,1,1,1]
[[1,2,3,5,5]]=>[[1,2,3,5,5]]=>[2,1,1,1]
[[1,2,4,4,5]]=>[[1,2,4,4,5]]=>[2,1,1,1]
[[1,2,4,5,5]]=>[[1,2,4,5,5]]=>[2,1,1,1]
[[1,2,5,5,5]]=>[[1,2,5,5,5]]=>[3,1,1]
[[1,3,3,3,5]]=>[[1,3,3,3,5]]=>[3,1,1]
[[1,3,3,4,5]]=>[[1,3,3,4,5]]=>[2,1,1,1]
[[1,3,3,5,5]]=>[[1,3,3,5,5]]=>[2,2,1]
[[1,3,4,4,5]]=>[[1,3,4,4,5]]=>[2,1,1,1]
[[1,3,4,5,5]]=>[[1,3,4,5,5]]=>[2,1,1,1]
[[1,3,5,5,5]]=>[[1,3,5,5,5]]=>[3,1,1]
[[1,4,4,4,5]]=>[[1,4,4,4,5]]=>[3,1,1]
[[1,4,4,5,5]]=>[[1,4,4,5,5]]=>[2,2,1]
[[1,4,5,5,5]]=>[[1,4,5,5,5]]=>[3,1,1]
[[1,5,5,5,5]]=>[[1,5,5,5,5]]=>[4,1]
[[2,2,2,2,5]]=>[[2,2,2,2,5]]=>[4,1]
[[2,2,2,3,5]]=>[[2,2,2,3,5]]=>[3,1,1]
[[2,2,2,4,5]]=>[[2,2,2,4,5]]=>[3,1,1]
[[2,2,2,5,5]]=>[[2,2,2,5,5]]=>[3,2]
[[2,2,3,3,5]]=>[[2,2,3,3,5]]=>[2,2,1]
[[2,2,3,4,5]]=>[[2,2,3,4,5]]=>[2,1,1,1]
[[2,2,3,5,5]]=>[[2,2,3,5,5]]=>[2,2,1]
[[2,2,4,4,5]]=>[[2,2,4,4,5]]=>[2,2,1]
[[2,2,4,5,5]]=>[[2,2,4,5,5]]=>[2,2,1]
[[2,2,5,5,5]]=>[[2,2,5,5,5]]=>[3,2]
[[2,3,3,3,5]]=>[[2,3,3,3,5]]=>[3,1,1]
[[2,3,3,4,5]]=>[[2,3,3,4,5]]=>[2,1,1,1]
[[2,3,3,5,5]]=>[[2,3,3,5,5]]=>[2,2,1]
[[2,3,4,4,5]]=>[[2,3,4,4,5]]=>[2,1,1,1]
[[2,3,4,5,5]]=>[[2,3,4,5,5]]=>[2,1,1,1]
[[2,3,5,5,5]]=>[[2,3,5,5,5]]=>[3,1,1]
[[2,4,4,4,5]]=>[[2,4,4,4,5]]=>[3,1,1]
[[2,4,4,5,5]]=>[[2,4,4,5,5]]=>[2,2,1]
[[2,4,5,5,5]]=>[[2,4,5,5,5]]=>[3,1,1]
[[2,5,5,5,5]]=>[[2,5,5,5,5]]=>[4,1]
[[3,3,3,3,5]]=>[[3,3,3,3,5]]=>[4,1]
[[3,3,3,4,5]]=>[[3,3,3,4,5]]=>[3,1,1]
[[3,3,3,5,5]]=>[[3,3,3,5,5]]=>[3,2]
[[3,3,4,4,5]]=>[[3,3,4,4,5]]=>[2,2,1]
[[3,3,4,5,5]]=>[[3,3,4,5,5]]=>[2,2,1]
[[3,3,5,5,5]]=>[[3,3,5,5,5]]=>[3,2]
[[3,4,4,4,5]]=>[[3,4,4,4,5]]=>[3,1,1]
[[3,4,4,5,5]]=>[[3,4,4,5,5]]=>[2,2,1]
[[3,4,5,5,5]]=>[[3,4,5,5,5]]=>[3,1,1]
[[3,5,5,5,5]]=>[[3,5,5,5,5]]=>[4,1]
[[4,4,4,4,5]]=>[[4,4,4,4,5]]=>[4,1]
[[4,4,4,5,5]]=>[[4,4,4,5,5]]=>[3,2]
[[4,4,5,5,5]]=>[[4,4,5,5,5]]=>[3,2]
[[4,5,5,5,5]]=>[[4,5,5,5,5]]=>[4,1]
[[5,5,5,5,5]]=>[[5,5,5,5,5]]=>[5]
[[1,1,1,1],[5]]=>[[1,1,1,1,5]]=>[4,1]
[[1,1,1,2],[5]]=>[[1,1,1,2,5]]=>[3,1,1]
[[1,1,1,5],[2]]=>[[1,1,1,2],[5]]=>[3,1,1]
[[1,1,1,3],[5]]=>[[1,1,1,3,5]]=>[3,1,1]
[[1,1,1,5],[3]]=>[[1,1,1,3],[5]]=>[3,1,1]
[[1,1,1,4],[5]]=>[[1,1,1,4,5]]=>[3,1,1]
[[1,1,1,5],[4]]=>[[1,1,1,4],[5]]=>[3,1,1]
[[1,1,1,5],[5]]=>[[1,1,1,5,5]]=>[3,2]
[[1,1,2,2],[5]]=>[[1,1,2,2,5]]=>[2,2,1]
[[1,1,2,5],[2]]=>[[1,1,2,2],[5]]=>[2,2,1]
[[1,1,2,3],[5]]=>[[1,1,2,3,5]]=>[2,1,1,1]
[[1,1,2,5],[3]]=>[[1,1,2,3],[5]]=>[2,1,1,1]
[[1,1,3,5],[2]]=>[[1,1,2,5],[3]]=>[2,1,1,1]
[[1,1,2,4],[5]]=>[[1,1,2,4,5]]=>[2,1,1,1]
[[1,1,2,5],[4]]=>[[1,1,2,4],[5]]=>[2,1,1,1]
[[1,1,4,5],[2]]=>[[1,1,2,5],[4]]=>[2,1,1,1]
[[1,1,2,5],[5]]=>[[1,1,2,5,5]]=>[2,2,1]
[[1,1,5,5],[2]]=>[[1,1,2,5],[5]]=>[2,2,1]
[[1,1,3,3],[5]]=>[[1,1,3,3,5]]=>[2,2,1]
[[1,1,3,5],[3]]=>[[1,1,3,3],[5]]=>[2,2,1]
[[1,1,3,4],[5]]=>[[1,1,3,4,5]]=>[2,1,1,1]
[[1,1,3,5],[4]]=>[[1,1,3,4],[5]]=>[2,1,1,1]
[[1,1,4,5],[3]]=>[[1,1,3,5],[4]]=>[2,1,1,1]
[[1,1,3,5],[5]]=>[[1,1,3,5,5]]=>[2,2,1]
[[1,1,5,5],[3]]=>[[1,1,3,5],[5]]=>[2,2,1]
[[1,1,4,4],[5]]=>[[1,1,4,4,5]]=>[2,2,1]
[[1,1,4,5],[4]]=>[[1,1,4,4],[5]]=>[2,2,1]
[[1,1,4,5],[5]]=>[[1,1,4,5,5]]=>[2,2,1]
[[1,1,5,5],[4]]=>[[1,1,4,5],[5]]=>[2,2,1]
[[1,1,5,5],[5]]=>[[1,1,5,5,5]]=>[3,2]
[[1,2,2,2],[5]]=>[[1,2,2,2,5]]=>[3,1,1]
[[1,2,2,5],[2]]=>[[1,2,2,2],[5]]=>[3,1,1]
[[1,2,2,3],[5]]=>[[1,2,2,3,5]]=>[2,1,1,1]
[[1,2,2,5],[3]]=>[[1,2,2,3],[5]]=>[2,1,1,1]
[[1,2,3,5],[2]]=>[[1,2,2,5],[3]]=>[2,1,1,1]
[[1,2,2,4],[5]]=>[[1,2,2,4,5]]=>[2,1,1,1]
[[1,2,2,5],[4]]=>[[1,2,2,4],[5]]=>[2,1,1,1]
[[1,2,4,5],[2]]=>[[1,2,2,5],[4]]=>[2,1,1,1]
[[1,2,2,5],[5]]=>[[1,2,2,5,5]]=>[2,2,1]
[[1,2,5,5],[2]]=>[[1,2,2,5],[5]]=>[2,2,1]
[[1,2,3,3],[5]]=>[[1,2,3,3,5]]=>[2,1,1,1]
[[1,2,3,5],[3]]=>[[1,2,3,3],[5]]=>[2,1,1,1]
[[1,3,3,5],[2]]=>[[1,2,3,5],[3]]=>[2,1,1,1]
[[1,2,3,4],[5]]=>[[1,2,3,4,5]]=>[1,1,1,1,1]
[[1,2,3,5],[4]]=>[[1,2,3,4],[5]]=>[1,1,1,1,1]
[[1,2,4,5],[3]]=>[[1,2,3,5],[4]]=>[1,1,1,1,1]
[[1,3,4,5],[2]]=>[[1,2,4,5],[3]]=>[1,1,1,1,1]
[[1,2,3,5],[5]]=>[[1,2,3,5,5]]=>[2,1,1,1]
[[1,2,5,5],[3]]=>[[1,2,3,5],[5]]=>[2,1,1,1]
[[1,3,5,5],[2]]=>[[1,2,5,5],[3]]=>[2,1,1,1]
[[1,2,4,4],[5]]=>[[1,2,4,4,5]]=>[2,1,1,1]
[[1,2,4,5],[4]]=>[[1,2,4,4],[5]]=>[2,1,1,1]
[[1,4,4,5],[2]]=>[[1,2,4,5],[4]]=>[2,1,1,1]
[[1,2,4,5],[5]]=>[[1,2,4,5,5]]=>[2,1,1,1]
[[1,2,5,5],[4]]=>[[1,2,4,5],[5]]=>[2,1,1,1]
[[1,4,5,5],[2]]=>[[1,2,5,5],[4]]=>[2,1,1,1]
[[1,2,5,5],[5]]=>[[1,2,5,5,5]]=>[3,1,1]
[[1,5,5,5],[2]]=>[[1,2,5,5],[5]]=>[3,1,1]
[[1,3,3,3],[5]]=>[[1,3,3,3,5]]=>[3,1,1]
[[1,3,3,5],[3]]=>[[1,3,3,3],[5]]=>[3,1,1]
[[1,3,3,4],[5]]=>[[1,3,3,4,5]]=>[2,1,1,1]
[[1,3,3,5],[4]]=>[[1,3,3,4],[5]]=>[2,1,1,1]
[[1,3,4,5],[3]]=>[[1,3,3,5],[4]]=>[2,1,1,1]
[[1,3,3,5],[5]]=>[[1,3,3,5,5]]=>[2,2,1]
[[1,3,5,5],[3]]=>[[1,3,3,5],[5]]=>[2,2,1]
[[1,3,4,4],[5]]=>[[1,3,4,4,5]]=>[2,1,1,1]
[[1,3,4,5],[4]]=>[[1,3,4,4],[5]]=>[2,1,1,1]
[[1,4,4,5],[3]]=>[[1,3,4,5],[4]]=>[2,1,1,1]
[[1,3,4,5],[5]]=>[[1,3,4,5,5]]=>[2,1,1,1]
[[1,3,5,5],[4]]=>[[1,3,4,5],[5]]=>[2,1,1,1]
[[1,4,5,5],[3]]=>[[1,3,5,5],[4]]=>[2,1,1,1]
[[1,3,5,5],[5]]=>[[1,3,5,5,5]]=>[3,1,1]
[[1,5,5,5],[3]]=>[[1,3,5,5],[5]]=>[3,1,1]
[[1,4,4,4],[5]]=>[[1,4,4,4,5]]=>[3,1,1]
[[1,4,4,5],[4]]=>[[1,4,4,4],[5]]=>[3,1,1]
[[1,4,4,5],[5]]=>[[1,4,4,5,5]]=>[2,2,1]
[[1,4,5,5],[4]]=>[[1,4,4,5],[5]]=>[2,2,1]
[[1,4,5,5],[5]]=>[[1,4,5,5,5]]=>[3,1,1]
[[1,5,5,5],[4]]=>[[1,4,5,5],[5]]=>[3,1,1]
[[1,5,5,5],[5]]=>[[1,5,5,5,5]]=>[4,1]
[[2,2,2,2],[5]]=>[[2,2,2,2,5]]=>[4,1]
[[2,2,2,3],[5]]=>[[2,2,2,3,5]]=>[3,1,1]
[[2,2,2,5],[3]]=>[[2,2,2,3],[5]]=>[3,1,1]
[[2,2,2,4],[5]]=>[[2,2,2,4,5]]=>[3,1,1]
[[2,2,2,5],[4]]=>[[2,2,2,4],[5]]=>[3,1,1]
[[2,2,2,5],[5]]=>[[2,2,2,5,5]]=>[3,2]
[[2,2,3,3],[5]]=>[[2,2,3,3,5]]=>[2,2,1]
[[2,2,3,5],[3]]=>[[2,2,3,3],[5]]=>[2,2,1]
[[2,2,3,4],[5]]=>[[2,2,3,4,5]]=>[2,1,1,1]
[[2,2,3,5],[4]]=>[[2,2,3,4],[5]]=>[2,1,1,1]
[[2,2,4,5],[3]]=>[[2,2,3,5],[4]]=>[2,1,1,1]
[[2,2,3,5],[5]]=>[[2,2,3,5,5]]=>[2,2,1]
[[2,2,5,5],[3]]=>[[2,2,3,5],[5]]=>[2,2,1]
[[2,2,4,4],[5]]=>[[2,2,4,4,5]]=>[2,2,1]
[[2,2,4,5],[4]]=>[[2,2,4,4],[5]]=>[2,2,1]
[[2,2,4,5],[5]]=>[[2,2,4,5,5]]=>[2,2,1]
[[2,2,5,5],[4]]=>[[2,2,4,5],[5]]=>[2,2,1]
[[2,2,5,5],[5]]=>[[2,2,5,5,5]]=>[3,2]
[[2,3,3,3],[5]]=>[[2,3,3,3,5]]=>[3,1,1]
[[2,3,3,5],[3]]=>[[2,3,3,3],[5]]=>[3,1,1]
[[2,3,3,4],[5]]=>[[2,3,3,4,5]]=>[2,1,1,1]
[[2,3,3,5],[4]]=>[[2,3,3,4],[5]]=>[2,1,1,1]
[[2,3,4,5],[3]]=>[[2,3,3,5],[4]]=>[2,1,1,1]
[[2,3,3,5],[5]]=>[[2,3,3,5,5]]=>[2,2,1]
[[2,3,5,5],[3]]=>[[2,3,3,5],[5]]=>[2,2,1]
[[2,3,4,4],[5]]=>[[2,3,4,4,5]]=>[2,1,1,1]
[[2,3,4,5],[4]]=>[[2,3,4,4],[5]]=>[2,1,1,1]
[[2,4,4,5],[3]]=>[[2,3,4,5],[4]]=>[2,1,1,1]
[[2,3,4,5],[5]]=>[[2,3,4,5,5]]=>[2,1,1,1]
[[2,3,5,5],[4]]=>[[2,3,4,5],[5]]=>[2,1,1,1]
[[2,4,5,5],[3]]=>[[2,3,5,5],[4]]=>[2,1,1,1]
[[2,3,5,5],[5]]=>[[2,3,5,5,5]]=>[3,1,1]
[[2,5,5,5],[3]]=>[[2,3,5,5],[5]]=>[3,1,1]
[[2,4,4,4],[5]]=>[[2,4,4,4,5]]=>[3,1,1]
[[2,4,4,5],[4]]=>[[2,4,4,4],[5]]=>[3,1,1]
[[2,4,4,5],[5]]=>[[2,4,4,5,5]]=>[2,2,1]
[[2,4,5,5],[4]]=>[[2,4,4,5],[5]]=>[2,2,1]
[[2,4,5,5],[5]]=>[[2,4,5,5,5]]=>[3,1,1]
[[2,5,5,5],[4]]=>[[2,4,5,5],[5]]=>[3,1,1]
[[2,5,5,5],[5]]=>[[2,5,5,5,5]]=>[4,1]
[[3,3,3,3],[5]]=>[[3,3,3,3,5]]=>[4,1]
[[3,3,3,4],[5]]=>[[3,3,3,4,5]]=>[3,1,1]
[[3,3,3,5],[4]]=>[[3,3,3,4],[5]]=>[3,1,1]
[[3,3,3,5],[5]]=>[[3,3,3,5,5]]=>[3,2]
[[3,3,4,4],[5]]=>[[3,3,4,4,5]]=>[2,2,1]
[[3,3,4,5],[4]]=>[[3,3,4,4],[5]]=>[2,2,1]
[[3,3,4,5],[5]]=>[[3,3,4,5,5]]=>[2,2,1]
[[3,3,5,5],[4]]=>[[3,3,4,5],[5]]=>[2,2,1]
[[3,3,5,5],[5]]=>[[3,3,5,5,5]]=>[3,2]
[[3,4,4,4],[5]]=>[[3,4,4,4,5]]=>[3,1,1]
[[3,4,4,5],[4]]=>[[3,4,4,4],[5]]=>[3,1,1]
[[3,4,4,5],[5]]=>[[3,4,4,5,5]]=>[2,2,1]
[[3,4,5,5],[4]]=>[[3,4,4,5],[5]]=>[2,2,1]
[[3,4,5,5],[5]]=>[[3,4,5,5,5]]=>[3,1,1]
[[3,5,5,5],[4]]=>[[3,4,5,5],[5]]=>[3,1,1]
[[3,5,5,5],[5]]=>[[3,5,5,5,5]]=>[4,1]
[[4,4,4,4],[5]]=>[[4,4,4,4,5]]=>[4,1]
[[4,4,4,5],[5]]=>[[4,4,4,5,5]]=>[3,2]
[[4,4,5,5],[5]]=>[[4,4,5,5,5]]=>[3,2]
[[4,5,5,5],[5]]=>[[4,5,5,5,5]]=>[4,1]
[[1,1,1],[2,5]]=>[[1,1,1,2,5]]=>[3,1,1]
[[1,1,1],[3,5]]=>[[1,1,1,3,5]]=>[3,1,1]
[[1,1,1],[4,5]]=>[[1,1,1,4,5]]=>[3,1,1]
[[1,1,1],[5,5]]=>[[1,1,1,5,5]]=>[3,2]
[[1,1,2],[2,5]]=>[[1,1,2,2,5]]=>[2,2,1]
[[1,1,5],[2,2]]=>[[1,1,2,2],[5]]=>[2,2,1]
[[1,1,2],[3,5]]=>[[1,1,2,3,5]]=>[2,1,1,1]
[[1,1,3],[2,5]]=>[[1,1,2,5],[3]]=>[2,1,1,1]
[[1,1,5],[2,3]]=>[[1,1,2,3],[5]]=>[2,1,1,1]
[[1,1,2],[4,5]]=>[[1,1,2,4,5]]=>[2,1,1,1]
[[1,1,4],[2,5]]=>[[1,1,2,5],[4]]=>[2,1,1,1]
[[1,1,5],[2,4]]=>[[1,1,2,4],[5]]=>[2,1,1,1]
[[1,1,2],[5,5]]=>[[1,1,2,5,5]]=>[2,2,1]
[[1,1,5],[2,5]]=>[[1,1,2,5],[5]]=>[2,2,1]
[[1,1,3],[3,5]]=>[[1,1,3,3,5]]=>[2,2,1]
[[1,1,5],[3,3]]=>[[1,1,3,3],[5]]=>[2,2,1]
[[1,1,3],[4,5]]=>[[1,1,3,4,5]]=>[2,1,1,1]
[[1,1,4],[3,5]]=>[[1,1,3,5],[4]]=>[2,1,1,1]
[[1,1,5],[3,4]]=>[[1,1,3,4],[5]]=>[2,1,1,1]
[[1,1,3],[5,5]]=>[[1,1,3,5,5]]=>[2,2,1]
[[1,1,5],[3,5]]=>[[1,1,3,5],[5]]=>[2,2,1]
[[1,1,4],[4,5]]=>[[1,1,4,4,5]]=>[2,2,1]
[[1,1,5],[4,4]]=>[[1,1,4,4],[5]]=>[2,2,1]
[[1,1,4],[5,5]]=>[[1,1,4,5,5]]=>[2,2,1]
[[1,1,5],[4,5]]=>[[1,1,4,5],[5]]=>[2,2,1]
[[1,1,5],[5,5]]=>[[1,1,5,5,5]]=>[3,2]
[[1,2,2],[2,5]]=>[[1,2,2,2,5]]=>[3,1,1]
[[1,2,2],[3,5]]=>[[1,2,2,3,5]]=>[2,1,1,1]
[[1,2,3],[2,5]]=>[[1,2,2,5],[3]]=>[2,1,1,1]
[[1,2,5],[2,3]]=>[[1,2,2,3],[5]]=>[2,1,1,1]
[[1,2,2],[4,5]]=>[[1,2,2,4,5]]=>[2,1,1,1]
[[1,2,4],[2,5]]=>[[1,2,2,5],[4]]=>[2,1,1,1]
[[1,2,5],[2,4]]=>[[1,2,2,4],[5]]=>[2,1,1,1]
[[1,2,2],[5,5]]=>[[1,2,2,5,5]]=>[2,2,1]
[[1,2,5],[2,5]]=>[[1,2,2,5],[5]]=>[2,2,1]
[[1,2,3],[3,5]]=>[[1,2,3,3,5]]=>[2,1,1,1]
[[1,2,5],[3,3]]=>[[1,2,3,3],[5]]=>[2,1,1,1]
[[1,3,3],[2,5]]=>[[1,2,3,5],[3]]=>[2,1,1,1]
[[1,2,3],[4,5]]=>[[1,2,3,4,5]]=>[1,1,1,1,1]
[[1,2,4],[3,5]]=>[[1,2,3,5],[4]]=>[1,1,1,1,1]
[[1,2,5],[3,4]]=>[[1,2,3,4],[5]]=>[1,1,1,1,1]
[[1,3,4],[2,5]]=>[[1,2,4,5],[3]]=>[1,1,1,1,1]
[[1,3,5],[2,4]]=>[[1,2,4],[3,5]]=>[1,1,1,1,1]
[[1,2,3],[5,5]]=>[[1,2,3,5,5]]=>[2,1,1,1]
[[1,2,5],[3,5]]=>[[1,2,3,5],[5]]=>[2,1,1,1]
[[1,3,5],[2,5]]=>[[1,2,5,5],[3]]=>[2,1,1,1]
[[1,2,4],[4,5]]=>[[1,2,4,4,5]]=>[2,1,1,1]
[[1,2,5],[4,4]]=>[[1,2,4,4],[5]]=>[2,1,1,1]
[[1,4,4],[2,5]]=>[[1,2,4,5],[4]]=>[2,1,1,1]
[[1,2,4],[5,5]]=>[[1,2,4,5,5]]=>[2,1,1,1]
[[1,2,5],[4,5]]=>[[1,2,4,5],[5]]=>[2,1,1,1]
[[1,4,5],[2,5]]=>[[1,2,5,5],[4]]=>[2,1,1,1]
[[1,2,5],[5,5]]=>[[1,2,5,5,5]]=>[3,1,1]
[[1,3,3],[3,5]]=>[[1,3,3,3,5]]=>[3,1,1]
[[1,3,3],[4,5]]=>[[1,3,3,4,5]]=>[2,1,1,1]
[[1,3,4],[3,5]]=>[[1,3,3,5],[4]]=>[2,1,1,1]
[[1,3,5],[3,4]]=>[[1,3,3,4],[5]]=>[2,1,1,1]
[[1,3,3],[5,5]]=>[[1,3,3,5,5]]=>[2,2,1]
[[1,3,5],[3,5]]=>[[1,3,3,5],[5]]=>[2,2,1]
[[1,3,4],[4,5]]=>[[1,3,4,4,5]]=>[2,1,1,1]
[[1,3,5],[4,4]]=>[[1,3,4,4],[5]]=>[2,1,1,1]
[[1,4,4],[3,5]]=>[[1,3,4,5],[4]]=>[2,1,1,1]
[[1,3,4],[5,5]]=>[[1,3,4,5,5]]=>[2,1,1,1]
[[1,3,5],[4,5]]=>[[1,3,4,5],[5]]=>[2,1,1,1]
[[1,4,5],[3,5]]=>[[1,3,5,5],[4]]=>[2,1,1,1]
[[1,3,5],[5,5]]=>[[1,3,5,5,5]]=>[3,1,1]
[[1,4,4],[4,5]]=>[[1,4,4,4,5]]=>[3,1,1]
[[1,4,4],[5,5]]=>[[1,4,4,5,5]]=>[2,2,1]
[[1,4,5],[4,5]]=>[[1,4,4,5],[5]]=>[2,2,1]
[[1,4,5],[5,5]]=>[[1,4,5,5,5]]=>[3,1,1]
[[2,2,2],[3,5]]=>[[2,2,2,3,5]]=>[3,1,1]
[[2,2,2],[4,5]]=>[[2,2,2,4,5]]=>[3,1,1]
[[2,2,2],[5,5]]=>[[2,2,2,5,5]]=>[3,2]
[[2,2,3],[3,5]]=>[[2,2,3,3,5]]=>[2,2,1]
[[2,2,5],[3,3]]=>[[2,2,3,3],[5]]=>[2,2,1]
[[2,2,3],[4,5]]=>[[2,2,3,4,5]]=>[2,1,1,1]
[[2,2,4],[3,5]]=>[[2,2,3,5],[4]]=>[2,1,1,1]
[[2,2,5],[3,4]]=>[[2,2,3,4],[5]]=>[2,1,1,1]
[[2,2,3],[5,5]]=>[[2,2,3,5,5]]=>[2,2,1]
[[2,2,5],[3,5]]=>[[2,2,3,5],[5]]=>[2,2,1]
[[2,2,4],[4,5]]=>[[2,2,4,4,5]]=>[2,2,1]
[[2,2,5],[4,4]]=>[[2,2,4,4],[5]]=>[2,2,1]
[[2,2,4],[5,5]]=>[[2,2,4,5,5]]=>[2,2,1]
[[2,2,5],[4,5]]=>[[2,2,4,5],[5]]=>[2,2,1]
[[2,2,5],[5,5]]=>[[2,2,5,5,5]]=>[3,2]
[[2,3,3],[3,5]]=>[[2,3,3,3,5]]=>[3,1,1]
[[2,3,3],[4,5]]=>[[2,3,3,4,5]]=>[2,1,1,1]
[[2,3,4],[3,5]]=>[[2,3,3,5],[4]]=>[2,1,1,1]
[[2,3,5],[3,4]]=>[[2,3,3,4],[5]]=>[2,1,1,1]
[[2,3,3],[5,5]]=>[[2,3,3,5,5]]=>[2,2,1]
[[2,3,5],[3,5]]=>[[2,3,3,5],[5]]=>[2,2,1]
[[2,3,4],[4,5]]=>[[2,3,4,4,5]]=>[2,1,1,1]
[[2,3,5],[4,4]]=>[[2,3,4,4],[5]]=>[2,1,1,1]
[[2,4,4],[3,5]]=>[[2,3,4,5],[4]]=>[2,1,1,1]
[[2,3,4],[5,5]]=>[[2,3,4,5,5]]=>[2,1,1,1]
[[2,3,5],[4,5]]=>[[2,3,4,5],[5]]=>[2,1,1,1]
[[2,4,5],[3,5]]=>[[2,3,5,5],[4]]=>[2,1,1,1]
[[2,3,5],[5,5]]=>[[2,3,5,5,5]]=>[3,1,1]
[[2,4,4],[4,5]]=>[[2,4,4,4,5]]=>[3,1,1]
[[2,4,4],[5,5]]=>[[2,4,4,5,5]]=>[2,2,1]
[[2,4,5],[4,5]]=>[[2,4,4,5],[5]]=>[2,2,1]
[[2,4,5],[5,5]]=>[[2,4,5,5,5]]=>[3,1,1]
[[3,3,3],[4,5]]=>[[3,3,3,4,5]]=>[3,1,1]
[[3,3,3],[5,5]]=>[[3,3,3,5,5]]=>[3,2]
[[3,3,4],[4,5]]=>[[3,3,4,4,5]]=>[2,2,1]
[[3,3,5],[4,4]]=>[[3,3,4,4],[5]]=>[2,2,1]
[[3,3,4],[5,5]]=>[[3,3,4,5,5]]=>[2,2,1]
[[3,3,5],[4,5]]=>[[3,3,4,5],[5]]=>[2,2,1]
[[3,3,5],[5,5]]=>[[3,3,5,5,5]]=>[3,2]
[[3,4,4],[4,5]]=>[[3,4,4,4,5]]=>[3,1,1]
[[3,4,4],[5,5]]=>[[3,4,4,5,5]]=>[2,2,1]
[[3,4,5],[4,5]]=>[[3,4,4,5],[5]]=>[2,2,1]
[[3,4,5],[5,5]]=>[[3,4,5,5,5]]=>[3,1,1]
[[4,4,4],[5,5]]=>[[4,4,4,5,5]]=>[3,2]
[[4,4,5],[5,5]]=>[[4,4,5,5,5]]=>[3,2]
[[1,1,1],[2],[5]]=>[[1,1,1,2],[5]]=>[3,1,1]
[[1,1,1],[3],[5]]=>[[1,1,1,3],[5]]=>[3,1,1]
[[1,1,1],[4],[5]]=>[[1,1,1,4],[5]]=>[3,1,1]
[[1,1,2],[2],[5]]=>[[1,1,2,2],[5]]=>[2,2,1]
[[1,1,2],[3],[5]]=>[[1,1,2,3],[5]]=>[2,1,1,1]
[[1,1,3],[2],[5]]=>[[1,1,2,5],[3]]=>[2,1,1,1]
[[1,1,5],[2],[3]]=>[[1,1,2],[3],[5]]=>[2,1,1,1]
[[1,1,2],[4],[5]]=>[[1,1,2,4],[5]]=>[2,1,1,1]
[[1,1,4],[2],[5]]=>[[1,1,2,5],[4]]=>[2,1,1,1]
[[1,1,5],[2],[4]]=>[[1,1,2],[4],[5]]=>[2,1,1,1]
[[1,1,5],[2],[5]]=>[[1,1,2,5],[5]]=>[2,2,1]
[[1,1,3],[3],[5]]=>[[1,1,3,3],[5]]=>[2,2,1]
[[1,1,3],[4],[5]]=>[[1,1,3,4],[5]]=>[2,1,1,1]
[[1,1,4],[3],[5]]=>[[1,1,3,5],[4]]=>[2,1,1,1]
[[1,1,5],[3],[4]]=>[[1,1,3],[4],[5]]=>[2,1,1,1]
[[1,1,5],[3],[5]]=>[[1,1,3,5],[5]]=>[2,2,1]
[[1,1,4],[4],[5]]=>[[1,1,4,4],[5]]=>[2,2,1]
[[1,1,5],[4],[5]]=>[[1,1,4,5],[5]]=>[2,2,1]
[[1,2,2],[2],[5]]=>[[1,2,2,2],[5]]=>[3,1,1]
[[1,2,2],[3],[5]]=>[[1,2,2,3],[5]]=>[2,1,1,1]
[[1,2,3],[2],[5]]=>[[1,2,2,5],[3]]=>[2,1,1,1]
[[1,2,5],[2],[3]]=>[[1,2,2],[3],[5]]=>[2,1,1,1]
[[1,2,2],[4],[5]]=>[[1,2,2,4],[5]]=>[2,1,1,1]
[[1,2,4],[2],[5]]=>[[1,2,2,5],[4]]=>[2,1,1,1]
[[1,2,5],[2],[4]]=>[[1,2,2],[4],[5]]=>[2,1,1,1]
[[1,2,5],[2],[5]]=>[[1,2,2,5],[5]]=>[2,2,1]
[[1,2,3],[3],[5]]=>[[1,2,3,3],[5]]=>[2,1,1,1]
[[1,3,3],[2],[5]]=>[[1,2,3,5],[3]]=>[2,1,1,1]
[[1,3,5],[2],[3]]=>[[1,2,3],[3],[5]]=>[2,1,1,1]
[[1,2,3],[4],[5]]=>[[1,2,3,4],[5]]=>[1,1,1,1,1]
[[1,2,4],[3],[5]]=>[[1,2,3,5],[4]]=>[1,1,1,1,1]
[[1,2,5],[3],[4]]=>[[1,2,3],[4],[5]]=>[1,1,1,1,1]
[[1,3,4],[2],[5]]=>[[1,2,4,5],[3]]=>[1,1,1,1,1]
[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]=>[1,1,1,1,1]
[[1,4,5],[2],[3]]=>[[1,2,5],[3],[4]]=>[1,1,1,1,1]
[[1,2,5],[3],[5]]=>[[1,2,3,5],[5]]=>[2,1,1,1]
[[1,3,5],[2],[5]]=>[[1,2,5,5],[3]]=>[2,1,1,1]
[[1,5,5],[2],[3]]=>[[1,2,5],[3],[5]]=>[2,1,1,1]
[[1,2,4],[4],[5]]=>[[1,2,4,4],[5]]=>[2,1,1,1]
[[1,4,4],[2],[5]]=>[[1,2,4,5],[4]]=>[2,1,1,1]
[[1,4,5],[2],[4]]=>[[1,2,4],[4],[5]]=>[2,1,1,1]
[[1,2,5],[4],[5]]=>[[1,2,4,5],[5]]=>[2,1,1,1]
[[1,4,5],[2],[5]]=>[[1,2,5,5],[4]]=>[2,1,1,1]
[[1,5,5],[2],[4]]=>[[1,2,5],[4],[5]]=>[2,1,1,1]
[[1,5,5],[2],[5]]=>[[1,2,5,5],[5]]=>[3,1,1]
[[1,3,3],[3],[5]]=>[[1,3,3,3],[5]]=>[3,1,1]
[[1,3,3],[4],[5]]=>[[1,3,3,4],[5]]=>[2,1,1,1]
[[1,3,4],[3],[5]]=>[[1,3,3,5],[4]]=>[2,1,1,1]
[[1,3,5],[3],[4]]=>[[1,3,3],[4],[5]]=>[2,1,1,1]
[[1,3,5],[3],[5]]=>[[1,3,3,5],[5]]=>[2,2,1]
[[1,3,4],[4],[5]]=>[[1,3,4,4],[5]]=>[2,1,1,1]
[[1,4,4],[3],[5]]=>[[1,3,4,5],[4]]=>[2,1,1,1]
[[1,4,5],[3],[4]]=>[[1,3,4],[4],[5]]=>[2,1,1,1]
[[1,3,5],[4],[5]]=>[[1,3,4,5],[5]]=>[2,1,1,1]
[[1,4,5],[3],[5]]=>[[1,3,5,5],[4]]=>[2,1,1,1]
[[1,5,5],[3],[4]]=>[[1,3,5],[4],[5]]=>[2,1,1,1]
[[1,5,5],[3],[5]]=>[[1,3,5,5],[5]]=>[3,1,1]
[[1,4,4],[4],[5]]=>[[1,4,4,4],[5]]=>[3,1,1]
[[1,4,5],[4],[5]]=>[[1,4,4,5],[5]]=>[2,2,1]
[[1,5,5],[4],[5]]=>[[1,4,5,5],[5]]=>[3,1,1]
[[2,2,2],[3],[5]]=>[[2,2,2,3],[5]]=>[3,1,1]
[[2,2,2],[4],[5]]=>[[2,2,2,4],[5]]=>[3,1,1]
[[2,2,3],[3],[5]]=>[[2,2,3,3],[5]]=>[2,2,1]
[[2,2,3],[4],[5]]=>[[2,2,3,4],[5]]=>[2,1,1,1]
[[2,2,4],[3],[5]]=>[[2,2,3,5],[4]]=>[2,1,1,1]
[[2,2,5],[3],[4]]=>[[2,2,3],[4],[5]]=>[2,1,1,1]
[[2,2,5],[3],[5]]=>[[2,2,3,5],[5]]=>[2,2,1]
[[2,2,4],[4],[5]]=>[[2,2,4,4],[5]]=>[2,2,1]
[[2,2,5],[4],[5]]=>[[2,2,4,5],[5]]=>[2,2,1]
[[2,3,3],[3],[5]]=>[[2,3,3,3],[5]]=>[3,1,1]
[[2,3,3],[4],[5]]=>[[2,3,3,4],[5]]=>[2,1,1,1]
[[2,3,4],[3],[5]]=>[[2,3,3,5],[4]]=>[2,1,1,1]
[[2,3,5],[3],[4]]=>[[2,3,3],[4],[5]]=>[2,1,1,1]
[[2,3,5],[3],[5]]=>[[2,3,3,5],[5]]=>[2,2,1]
[[2,3,4],[4],[5]]=>[[2,3,4,4],[5]]=>[2,1,1,1]
[[2,4,4],[3],[5]]=>[[2,3,4,5],[4]]=>[2,1,1,1]
[[2,4,5],[3],[4]]=>[[2,3,4],[4],[5]]=>[2,1,1,1]
[[2,3,5],[4],[5]]=>[[2,3,4,5],[5]]=>[2,1,1,1]
[[2,4,5],[3],[5]]=>[[2,3,5,5],[4]]=>[2,1,1,1]
[[2,5,5],[3],[4]]=>[[2,3,5],[4],[5]]=>[2,1,1,1]
[[2,5,5],[3],[5]]=>[[2,3,5,5],[5]]=>[3,1,1]
[[2,4,4],[4],[5]]=>[[2,4,4,4],[5]]=>[3,1,1]
[[2,4,5],[4],[5]]=>[[2,4,4,5],[5]]=>[2,2,1]
[[2,5,5],[4],[5]]=>[[2,4,5,5],[5]]=>[3,1,1]
[[3,3,3],[4],[5]]=>[[3,3,3,4],[5]]=>[3,1,1]
[[3,3,4],[4],[5]]=>[[3,3,4,4],[5]]=>[2,2,1]
[[3,3,5],[4],[5]]=>[[3,3,4,5],[5]]=>[2,2,1]
[[3,4,4],[4],[5]]=>[[3,4,4,4],[5]]=>[3,1,1]
[[3,4,5],[4],[5]]=>[[3,4,4,5],[5]]=>[2,2,1]
[[3,5,5],[4],[5]]=>[[3,4,5,5],[5]]=>[3,1,1]
[[1,1],[2,2],[5]]=>[[1,1,2,2],[5]]=>[2,2,1]
[[1,1],[2,3],[5]]=>[[1,1,2,3],[5]]=>[2,1,1,1]
[[1,1],[2,5],[3]]=>[[1,1,2,5],[3]]=>[2,1,1,1]
[[1,1],[2,4],[5]]=>[[1,1,2,4],[5]]=>[2,1,1,1]
[[1,1],[2,5],[4]]=>[[1,1,2,5],[4]]=>[2,1,1,1]
[[1,1],[2,5],[5]]=>[[1,1,2,5],[5]]=>[2,2,1]
[[1,1],[3,3],[5]]=>[[1,1,3,3],[5]]=>[2,2,1]
[[1,1],[3,4],[5]]=>[[1,1,3,4],[5]]=>[2,1,1,1]
[[1,1],[3,5],[4]]=>[[1,1,3,5],[4]]=>[2,1,1,1]
[[1,1],[3,5],[5]]=>[[1,1,3,5],[5]]=>[2,2,1]
[[1,1],[4,4],[5]]=>[[1,1,4,4],[5]]=>[2,2,1]
[[1,1],[4,5],[5]]=>[[1,1,4,5],[5]]=>[2,2,1]
[[1,2],[2,3],[5]]=>[[1,2,2,3],[5]]=>[2,1,1,1]
[[1,2],[2,5],[3]]=>[[1,2,2,5],[3]]=>[2,1,1,1]
[[1,2],[2,4],[5]]=>[[1,2,2,4],[5]]=>[2,1,1,1]
[[1,2],[2,5],[4]]=>[[1,2,2,5],[4]]=>[2,1,1,1]
[[1,2],[2,5],[5]]=>[[1,2,2,5],[5]]=>[2,2,1]
[[1,2],[3,3],[5]]=>[[1,2,3,3],[5]]=>[2,1,1,1]
[[1,3],[2,5],[3]]=>[[1,2,3,5],[3]]=>[2,1,1,1]
[[1,2],[3,4],[5]]=>[[1,2,3,4],[5]]=>[1,1,1,1,1]
[[1,2],[3,5],[4]]=>[[1,2,3,5],[4]]=>[1,1,1,1,1]
[[1,3],[2,4],[5]]=>[[1,2,4],[3,5]]=>[1,1,1,1,1]
[[1,3],[2,5],[4]]=>[[1,2,4,5],[3]]=>[1,1,1,1,1]
[[1,4],[2,5],[3]]=>[[1,2,5],[3],[4]]=>[1,1,1,1,1]
[[1,2],[3,5],[5]]=>[[1,2,3,5],[5]]=>[2,1,1,1]
[[1,3],[2,5],[5]]=>[[1,2,5,5],[3]]=>[2,1,1,1]
[[1,2],[4,4],[5]]=>[[1,2,4,4],[5]]=>[2,1,1,1]
[[1,4],[2,5],[4]]=>[[1,2,4,5],[4]]=>[2,1,1,1]
[[1,2],[4,5],[5]]=>[[1,2,4,5],[5]]=>[2,1,1,1]
[[1,4],[2,5],[5]]=>[[1,2,5,5],[4]]=>[2,1,1,1]
[[1,3],[3,4],[5]]=>[[1,3,3,4],[5]]=>[2,1,1,1]
[[1,3],[3,5],[4]]=>[[1,3,3,5],[4]]=>[2,1,1,1]
[[1,3],[3,5],[5]]=>[[1,3,3,5],[5]]=>[2,2,1]
[[1,3],[4,4],[5]]=>[[1,3,4,4],[5]]=>[2,1,1,1]
[[1,4],[3,5],[4]]=>[[1,3,4,5],[4]]=>[2,1,1,1]
[[1,3],[4,5],[5]]=>[[1,3,4,5],[5]]=>[2,1,1,1]
[[1,4],[3,5],[5]]=>[[1,3,5,5],[4]]=>[2,1,1,1]
[[1,4],[4,5],[5]]=>[[1,4,4,5],[5]]=>[2,2,1]
[[2,2],[3,3],[5]]=>[[2,2,3,3],[5]]=>[2,2,1]
[[2,2],[3,4],[5]]=>[[2,2,3,4],[5]]=>[2,1,1,1]
[[2,2],[3,5],[4]]=>[[2,2,3,5],[4]]=>[2,1,1,1]
[[2,2],[3,5],[5]]=>[[2,2,3,5],[5]]=>[2,2,1]
[[2,2],[4,4],[5]]=>[[2,2,4,4],[5]]=>[2,2,1]
[[2,2],[4,5],[5]]=>[[2,2,4,5],[5]]=>[2,2,1]
[[2,3],[3,4],[5]]=>[[2,3,3,4],[5]]=>[2,1,1,1]
[[2,3],[3,5],[4]]=>[[2,3,3,5],[4]]=>[2,1,1,1]
[[2,3],[3,5],[5]]=>[[2,3,3,5],[5]]=>[2,2,1]
[[2,3],[4,4],[5]]=>[[2,3,4,4],[5]]=>[2,1,1,1]
[[2,4],[3,5],[4]]=>[[2,3,4,5],[4]]=>[2,1,1,1]
[[2,3],[4,5],[5]]=>[[2,3,4,5],[5]]=>[2,1,1,1]
[[2,4],[3,5],[5]]=>[[2,3,5,5],[4]]=>[2,1,1,1]
[[2,4],[4,5],[5]]=>[[2,4,4,5],[5]]=>[2,2,1]
[[3,3],[4,4],[5]]=>[[3,3,4,4],[5]]=>[2,2,1]
[[3,3],[4,5],[5]]=>[[3,3,4,5],[5]]=>[2,2,1]
[[3,4],[4,5],[5]]=>[[3,4,4,5],[5]]=>[2,2,1]
[[1,1],[2],[3],[5]]=>[[1,1,2],[3],[5]]=>[2,1,1,1]
[[1,1],[2],[4],[5]]=>[[1,1,2],[4],[5]]=>[2,1,1,1]
[[1,1],[3],[4],[5]]=>[[1,1,3],[4],[5]]=>[2,1,1,1]
[[1,2],[2],[3],[5]]=>[[1,2,2],[3],[5]]=>[2,1,1,1]
[[1,2],[2],[4],[5]]=>[[1,2,2],[4],[5]]=>[2,1,1,1]
[[1,3],[2],[3],[5]]=>[[1,2,3],[3],[5]]=>[2,1,1,1]
[[1,2],[3],[4],[5]]=>[[1,2,3],[4],[5]]=>[1,1,1,1,1]
[[1,3],[2],[4],[5]]=>[[1,2,4],[3],[5]]=>[1,1,1,1,1]
[[1,4],[2],[3],[5]]=>[[1,2,5],[3],[4]]=>[1,1,1,1,1]
[[1,5],[2],[3],[4]]=>[[1,2],[3],[4],[5]]=>[1,1,1,1,1]
[[1,5],[2],[3],[5]]=>[[1,2,5],[3],[5]]=>[2,1,1,1]
[[1,4],[2],[4],[5]]=>[[1,2,4],[4],[5]]=>[2,1,1,1]
[[1,5],[2],[4],[5]]=>[[1,2,5],[4],[5]]=>[2,1,1,1]
[[1,3],[3],[4],[5]]=>[[1,3,3],[4],[5]]=>[2,1,1,1]
[[1,4],[3],[4],[5]]=>[[1,3,4],[4],[5]]=>[2,1,1,1]
[[1,5],[3],[4],[5]]=>[[1,3,5],[4],[5]]=>[2,1,1,1]
[[2,2],[3],[4],[5]]=>[[2,2,3],[4],[5]]=>[2,1,1,1]
[[2,3],[3],[4],[5]]=>[[2,3,3],[4],[5]]=>[2,1,1,1]
[[2,4],[3],[4],[5]]=>[[2,3,4],[4],[5]]=>[2,1,1,1]
[[2,5],[3],[4],[5]]=>[[2,3,5],[4],[5]]=>[2,1,1,1]
[[1],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5]]=>[1,1,1,1,1]
[[1,1,1,1,1,4]]=>[[1,1,1,1,1,4]]=>[5,1]
[[1,1,1,1,2,4]]=>[[1,1,1,1,2,4]]=>[4,1,1]
[[1,1,1,1,3,4]]=>[[1,1,1,1,3,4]]=>[4,1,1]
[[1,1,1,1,4,4]]=>[[1,1,1,1,4,4]]=>[4,2]
[[1,1,1,2,2,4]]=>[[1,1,1,2,2,4]]=>[3,2,1]
[[1,1,1,2,3,4]]=>[[1,1,1,2,3,4]]=>[3,1,1,1]
[[1,1,1,2,4,4]]=>[[1,1,1,2,4,4]]=>[3,2,1]
[[1,1,1,3,3,4]]=>[[1,1,1,3,3,4]]=>[3,2,1]
[[1,1,1,3,4,4]]=>[[1,1,1,3,4,4]]=>[3,2,1]
[[1,1,1,4,4,4]]=>[[1,1,1,4,4,4]]=>[3,3]
[[1,1,2,2,2,4]]=>[[1,1,2,2,2,4]]=>[3,2,1]
[[1,1,2,2,3,4]]=>[[1,1,2,2,3,4]]=>[2,2,1,1]
[[1,1,2,2,4,4]]=>[[1,1,2,2,4,4]]=>[2,2,2]
[[1,1,2,3,3,4]]=>[[1,1,2,3,3,4]]=>[2,2,1,1]
[[1,1,2,3,4,4]]=>[[1,1,2,3,4,4]]=>[2,2,1,1]
[[1,1,2,4,4,4]]=>[[1,1,2,4,4,4]]=>[3,2,1]
[[1,1,3,3,3,4]]=>[[1,1,3,3,3,4]]=>[3,2,1]
[[1,1,3,3,4,4]]=>[[1,1,3,3,4,4]]=>[2,2,2]
[[1,1,3,4,4,4]]=>[[1,1,3,4,4,4]]=>[3,2,1]
[[1,1,4,4,4,4]]=>[[1,1,4,4,4,4]]=>[4,2]
[[1,2,2,2,2,4]]=>[[1,2,2,2,2,4]]=>[4,1,1]
[[1,2,2,2,3,4]]=>[[1,2,2,2,3,4]]=>[3,1,1,1]
[[1,2,2,2,4,4]]=>[[1,2,2,2,4,4]]=>[3,2,1]
[[1,2,2,3,3,4]]=>[[1,2,2,3,3,4]]=>[2,2,1,1]
[[1,2,2,3,4,4]]=>[[1,2,2,3,4,4]]=>[2,2,1,1]
[[1,2,2,4,4,4]]=>[[1,2,2,4,4,4]]=>[3,2,1]
[[1,2,3,3,3,4]]=>[[1,2,3,3,3,4]]=>[3,1,1,1]
[[1,2,3,3,4,4]]=>[[1,2,3,3,4,4]]=>[2,2,1,1]
[[1,2,3,4,4,4]]=>[[1,2,3,4,4,4]]=>[3,1,1,1]
[[1,2,4,4,4,4]]=>[[1,2,4,4,4,4]]=>[4,1,1]
[[1,3,3,3,3,4]]=>[[1,3,3,3,3,4]]=>[4,1,1]
[[1,3,3,3,4,4]]=>[[1,3,3,3,4,4]]=>[3,2,1]
[[1,3,3,4,4,4]]=>[[1,3,3,4,4,4]]=>[3,2,1]
[[1,3,4,4,4,4]]=>[[1,3,4,4,4,4]]=>[4,1,1]
[[1,4,4,4,4,4]]=>[[1,4,4,4,4,4]]=>[5,1]
[[2,2,2,2,2,4]]=>[[2,2,2,2,2,4]]=>[5,1]
[[2,2,2,2,3,4]]=>[[2,2,2,2,3,4]]=>[4,1,1]
[[2,2,2,2,4,4]]=>[[2,2,2,2,4,4]]=>[4,2]
[[2,2,2,3,3,4]]=>[[2,2,2,3,3,4]]=>[3,2,1]
[[2,2,2,3,4,4]]=>[[2,2,2,3,4,4]]=>[3,2,1]
[[2,2,2,4,4,4]]=>[[2,2,2,4,4,4]]=>[3,3]
[[2,2,3,3,3,4]]=>[[2,2,3,3,3,4]]=>[3,2,1]
[[2,2,3,3,4,4]]=>[[2,2,3,3,4,4]]=>[2,2,2]
[[2,2,3,4,4,4]]=>[[2,2,3,4,4,4]]=>[3,2,1]
[[2,2,4,4,4,4]]=>[[2,2,4,4,4,4]]=>[4,2]
[[2,3,3,3,3,4]]=>[[2,3,3,3,3,4]]=>[4,1,1]
[[2,3,3,3,4,4]]=>[[2,3,3,3,4,4]]=>[3,2,1]
[[2,3,3,4,4,4]]=>[[2,3,3,4,4,4]]=>[3,2,1]
[[2,3,4,4,4,4]]=>[[2,3,4,4,4,4]]=>[4,1,1]
[[2,4,4,4,4,4]]=>[[2,4,4,4,4,4]]=>[5,1]
[[3,3,3,3,3,4]]=>[[3,3,3,3,3,4]]=>[5,1]
[[3,3,3,3,4,4]]=>[[3,3,3,3,4,4]]=>[4,2]
[[3,3,3,4,4,4]]=>[[3,3,3,4,4,4]]=>[3,3]
[[3,3,4,4,4,4]]=>[[3,3,4,4,4,4]]=>[4,2]
[[3,4,4,4,4,4]]=>[[3,4,4,4,4,4]]=>[5,1]
[[4,4,4,4,4,4]]=>[[4,4,4,4,4,4]]=>[6]
[[1,1,1,1,1],[4]]=>[[1,1,1,1,1,4]]=>[5,1]
[[1,1,1,1,2],[4]]=>[[1,1,1,1,2,4]]=>[4,1,1]
[[1,1,1,1,4],[2]]=>[[1,1,1,1,2],[4]]=>[4,1,1]
[[1,1,1,1,3],[4]]=>[[1,1,1,1,3,4]]=>[4,1,1]
[[1,1,1,1,4],[3]]=>[[1,1,1,1,3],[4]]=>[4,1,1]
[[1,1,1,1,4],[4]]=>[[1,1,1,1,4,4]]=>[4,2]
[[1,1,1,2,2],[4]]=>[[1,1,1,2,2,4]]=>[3,2,1]
[[1,1,1,2,4],[2]]=>[[1,1,1,2,2],[4]]=>[3,2,1]
[[1,1,1,2,3],[4]]=>[[1,1,1,2,3,4]]=>[3,1,1,1]
[[1,1,1,2,4],[3]]=>[[1,1,1,2,3],[4]]=>[3,1,1,1]
[[1,1,1,3,4],[2]]=>[[1,1,1,2,4],[3]]=>[3,1,1,1]
[[1,1,1,2,4],[4]]=>[[1,1,1,2,4,4]]=>[3,2,1]
[[1,1,1,4,4],[2]]=>[[1,1,1,2,4],[4]]=>[3,2,1]
[[1,1,1,3,3],[4]]=>[[1,1,1,3,3,4]]=>[3,2,1]
[[1,1,1,3,4],[3]]=>[[1,1,1,3,3],[4]]=>[3,2,1]
[[1,1,1,3,4],[4]]=>[[1,1,1,3,4,4]]=>[3,2,1]
[[1,1,1,4,4],[3]]=>[[1,1,1,3,4],[4]]=>[3,2,1]
[[1,1,1,4,4],[4]]=>[[1,1,1,4,4,4]]=>[3,3]
[[1,1,2,2,2],[4]]=>[[1,1,2,2,2,4]]=>[3,2,1]
[[1,1,2,2,4],[2]]=>[[1,1,2,2,2],[4]]=>[3,2,1]
[[1,1,2,2,3],[4]]=>[[1,1,2,2,3,4]]=>[2,2,1,1]
[[1,1,2,2,4],[3]]=>[[1,1,2,2,3],[4]]=>[2,2,1,1]
[[1,1,2,3,4],[2]]=>[[1,1,2,2,4],[3]]=>[2,2,1,1]
[[1,1,2,2,4],[4]]=>[[1,1,2,2,4,4]]=>[2,2,2]
[[1,1,2,4,4],[2]]=>[[1,1,2,2,4],[4]]=>[2,2,2]
[[1,1,2,3,3],[4]]=>[[1,1,2,3,3,4]]=>[2,2,1,1]
[[1,1,2,3,4],[3]]=>[[1,1,2,3,3],[4]]=>[2,2,1,1]
[[1,1,3,3,4],[2]]=>[[1,1,2,3,4],[3]]=>[2,2,1,1]
[[1,1,2,3,4],[4]]=>[[1,1,2,3,4,4]]=>[2,2,1,1]
[[1,1,2,4,4],[3]]=>[[1,1,2,3,4],[4]]=>[2,2,1,1]
[[1,1,3,4,4],[2]]=>[[1,1,2,4,4],[3]]=>[2,2,1,1]
[[1,1,2,4,4],[4]]=>[[1,1,2,4,4,4]]=>[3,2,1]
[[1,1,4,4,4],[2]]=>[[1,1,2,4,4],[4]]=>[3,2,1]
[[1,1,3,3,3],[4]]=>[[1,1,3,3,3,4]]=>[3,2,1]
[[1,1,3,3,4],[3]]=>[[1,1,3,3,3],[4]]=>[3,2,1]
[[1,1,3,3,4],[4]]=>[[1,1,3,3,4,4]]=>[2,2,2]
[[1,1,3,4,4],[3]]=>[[1,1,3,3,4],[4]]=>[2,2,2]
[[1,1,3,4,4],[4]]=>[[1,1,3,4,4,4]]=>[3,2,1]
[[1,1,4,4,4],[3]]=>[[1,1,3,4,4],[4]]=>[3,2,1]
[[1,1,4,4,4],[4]]=>[[1,1,4,4,4,4]]=>[4,2]
[[1,2,2,2,2],[4]]=>[[1,2,2,2,2,4]]=>[4,1,1]
[[1,2,2,2,4],[2]]=>[[1,2,2,2,2],[4]]=>[4,1,1]
[[1,2,2,2,3],[4]]=>[[1,2,2,2,3,4]]=>[3,1,1,1]
[[1,2,2,2,4],[3]]=>[[1,2,2,2,3],[4]]=>[3,1,1,1]
[[1,2,2,3,4],[2]]=>[[1,2,2,2,4],[3]]=>[3,1,1,1]
[[1,2,2,2,4],[4]]=>[[1,2,2,2,4,4]]=>[3,2,1]
[[1,2,2,4,4],[2]]=>[[1,2,2,2,4],[4]]=>[3,2,1]
[[1,2,2,3,3],[4]]=>[[1,2,2,3,3,4]]=>[2,2,1,1]
[[1,2,2,3,4],[3]]=>[[1,2,2,3,3],[4]]=>[2,2,1,1]
[[1,2,3,3,4],[2]]=>[[1,2,2,3,4],[3]]=>[2,2,1,1]
[[1,2,2,3,4],[4]]=>[[1,2,2,3,4,4]]=>[2,2,1,1]
[[1,2,2,4,4],[3]]=>[[1,2,2,3,4],[4]]=>[2,2,1,1]
[[1,2,3,4,4],[2]]=>[[1,2,2,4,4],[3]]=>[2,2,1,1]
[[1,2,2,4,4],[4]]=>[[1,2,2,4,4,4]]=>[3,2,1]
[[1,2,4,4,4],[2]]=>[[1,2,2,4,4],[4]]=>[3,2,1]
[[1,2,3,3,3],[4]]=>[[1,2,3,3,3,4]]=>[3,1,1,1]
[[1,2,3,3,4],[3]]=>[[1,2,3,3,3],[4]]=>[3,1,1,1]
[[1,3,3,3,4],[2]]=>[[1,2,3,3,4],[3]]=>[3,1,1,1]
[[1,2,3,3,4],[4]]=>[[1,2,3,3,4,4]]=>[2,2,1,1]
[[1,2,3,4,4],[3]]=>[[1,2,3,3,4],[4]]=>[2,2,1,1]
[[1,3,3,4,4],[2]]=>[[1,2,3,4,4],[3]]=>[2,2,1,1]
[[1,2,3,4,4],[4]]=>[[1,2,3,4,4,4]]=>[3,1,1,1]
[[1,2,4,4,4],[3]]=>[[1,2,3,4,4],[4]]=>[3,1,1,1]
[[1,3,4,4,4],[2]]=>[[1,2,4,4,4],[3]]=>[3,1,1,1]
[[1,2,4,4,4],[4]]=>[[1,2,4,4,4,4]]=>[4,1,1]
[[1,4,4,4,4],[2]]=>[[1,2,4,4,4],[4]]=>[4,1,1]
[[1,3,3,3,3],[4]]=>[[1,3,3,3,3,4]]=>[4,1,1]
[[1,3,3,3,4],[3]]=>[[1,3,3,3,3],[4]]=>[4,1,1]
[[1,3,3,3,4],[4]]=>[[1,3,3,3,4,4]]=>[3,2,1]
[[1,3,3,4,4],[3]]=>[[1,3,3,3,4],[4]]=>[3,2,1]
[[1,3,3,4,4],[4]]=>[[1,3,3,4,4,4]]=>[3,2,1]
[[1,3,4,4,4],[3]]=>[[1,3,3,4,4],[4]]=>[3,2,1]
[[1,3,4,4,4],[4]]=>[[1,3,4,4,4,4]]=>[4,1,1]
[[1,4,4,4,4],[3]]=>[[1,3,4,4,4],[4]]=>[4,1,1]
[[1,4,4,4,4],[4]]=>[[1,4,4,4,4,4]]=>[5,1]
[[2,2,2,2,2],[4]]=>[[2,2,2,2,2,4]]=>[5,1]
[[2,2,2,2,3],[4]]=>[[2,2,2,2,3,4]]=>[4,1,1]
[[2,2,2,2,4],[3]]=>[[2,2,2,2,3],[4]]=>[4,1,1]
[[2,2,2,2,4],[4]]=>[[2,2,2,2,4,4]]=>[4,2]
[[2,2,2,3,3],[4]]=>[[2,2,2,3,3,4]]=>[3,2,1]
[[2,2,2,3,4],[3]]=>[[2,2,2,3,3],[4]]=>[3,2,1]
[[2,2,2,3,4],[4]]=>[[2,2,2,3,4,4]]=>[3,2,1]
[[2,2,2,4,4],[3]]=>[[2,2,2,3,4],[4]]=>[3,2,1]
[[2,2,2,4,4],[4]]=>[[2,2,2,4,4,4]]=>[3,3]
[[2,2,3,3,3],[4]]=>[[2,2,3,3,3,4]]=>[3,2,1]
[[2,2,3,3,4],[3]]=>[[2,2,3,3,3],[4]]=>[3,2,1]
[[2,2,3,3,4],[4]]=>[[2,2,3,3,4,4]]=>[2,2,2]
[[2,2,3,4,4],[3]]=>[[2,2,3,3,4],[4]]=>[2,2,2]
[[2,2,3,4,4],[4]]=>[[2,2,3,4,4,4]]=>[3,2,1]
[[2,2,4,4,4],[3]]=>[[2,2,3,4,4],[4]]=>[3,2,1]
[[2,2,4,4,4],[4]]=>[[2,2,4,4,4,4]]=>[4,2]
[[2,3,3,3,3],[4]]=>[[2,3,3,3,3,4]]=>[4,1,1]
[[2,3,3,3,4],[3]]=>[[2,3,3,3,3],[4]]=>[4,1,1]
[[2,3,3,3,4],[4]]=>[[2,3,3,3,4,4]]=>[3,2,1]
[[2,3,3,4,4],[3]]=>[[2,3,3,3,4],[4]]=>[3,2,1]
[[2,3,3,4,4],[4]]=>[[2,3,3,4,4,4]]=>[3,2,1]
[[2,3,4,4,4],[3]]=>[[2,3,3,4,4],[4]]=>[3,2,1]
[[2,3,4,4,4],[4]]=>[[2,3,4,4,4,4]]=>[4,1,1]
[[2,4,4,4,4],[3]]=>[[2,3,4,4,4],[4]]=>[4,1,1]
[[2,4,4,4,4],[4]]=>[[2,4,4,4,4,4]]=>[5,1]
[[3,3,3,3,3],[4]]=>[[3,3,3,3,3,4]]=>[5,1]
[[3,3,3,3,4],[4]]=>[[3,3,3,3,4,4]]=>[4,2]
[[3,3,3,4,4],[4]]=>[[3,3,3,4,4,4]]=>[3,3]
[[3,3,4,4,4],[4]]=>[[3,3,4,4,4,4]]=>[4,2]
[[3,4,4,4,4],[4]]=>[[3,4,4,4,4,4]]=>[5,1]
[[1,1,1,1],[2,4]]=>[[1,1,1,1,2,4]]=>[4,1,1]
[[1,1,1,1],[3,4]]=>[[1,1,1,1,3,4]]=>[4,1,1]
[[1,1,1,1],[4,4]]=>[[1,1,1,1,4,4]]=>[4,2]
[[1,1,1,2],[2,4]]=>[[1,1,1,2,2,4]]=>[3,2,1]
[[1,1,1,4],[2,2]]=>[[1,1,1,2,2],[4]]=>[3,2,1]
[[1,1,1,2],[3,4]]=>[[1,1,1,2,3,4]]=>[3,1,1,1]
[[1,1,1,3],[2,4]]=>[[1,1,1,2,4],[3]]=>[3,1,1,1]
[[1,1,1,4],[2,3]]=>[[1,1,1,2,3],[4]]=>[3,1,1,1]
[[1,1,1,2],[4,4]]=>[[1,1,1,2,4,4]]=>[3,2,1]
[[1,1,1,4],[2,4]]=>[[1,1,1,2,4],[4]]=>[3,2,1]
[[1,1,1,3],[3,4]]=>[[1,1,1,3,3,4]]=>[3,2,1]
[[1,1,1,4],[3,3]]=>[[1,1,1,3,3],[4]]=>[3,2,1]
[[1,1,1,3],[4,4]]=>[[1,1,1,3,4,4]]=>[3,2,1]
[[1,1,1,4],[3,4]]=>[[1,1,1,3,4],[4]]=>[3,2,1]
[[1,1,1,4],[4,4]]=>[[1,1,1,4,4,4]]=>[3,3]
[[1,1,2,2],[2,4]]=>[[1,1,2,2,2,4]]=>[3,2,1]
[[1,1,2,4],[2,2]]=>[[1,1,2,2,2],[4]]=>[3,2,1]
[[1,1,2,2],[3,4]]=>[[1,1,2,2,3,4]]=>[2,2,1,1]
[[1,1,2,3],[2,4]]=>[[1,1,2,2,4],[3]]=>[2,2,1,1]
[[1,1,2,4],[2,3]]=>[[1,1,2,2,3],[4]]=>[2,2,1,1]
[[1,1,3,4],[2,2]]=>[[1,1,2,2],[3,4]]=>[2,2,1,1]
[[1,1,2,2],[4,4]]=>[[1,1,2,2,4,4]]=>[2,2,2]
[[1,1,2,4],[2,4]]=>[[1,1,2,2,4],[4]]=>[2,2,2]
[[1,1,4,4],[2,2]]=>[[1,1,2,2],[4,4]]=>[2,2,2]
[[1,1,2,3],[3,4]]=>[[1,1,2,3,3,4]]=>[2,2,1,1]
[[1,1,2,4],[3,3]]=>[[1,1,2,3,3],[4]]=>[2,2,1,1]
[[1,1,3,3],[2,4]]=>[[1,1,2,3,4],[3]]=>[2,2,1,1]
[[1,1,3,4],[2,3]]=>[[1,1,2,3],[3,4]]=>[2,2,1,1]
[[1,1,2,3],[4,4]]=>[[1,1,2,3,4,4]]=>[2,2,1,1]
[[1,1,2,4],[3,4]]=>[[1,1,2,3,4],[4]]=>[2,2,1,1]
[[1,1,3,4],[2,4]]=>[[1,1,2,4,4],[3]]=>[2,2,1,1]
[[1,1,4,4],[2,3]]=>[[1,1,2,3],[4,4]]=>[2,2,1,1]
[[1,1,2,4],[4,4]]=>[[1,1,2,4,4,4]]=>[3,2,1]
[[1,1,4,4],[2,4]]=>[[1,1,2,4,4],[4]]=>[3,2,1]
[[1,1,3,3],[3,4]]=>[[1,1,3,3,3,4]]=>[3,2,1]
[[1,1,3,4],[3,3]]=>[[1,1,3,3,3],[4]]=>[3,2,1]
[[1,1,3,3],[4,4]]=>[[1,1,3,3,4,4]]=>[2,2,2]
[[1,1,3,4],[3,4]]=>[[1,1,3,3,4],[4]]=>[2,2,2]
[[1,1,4,4],[3,3]]=>[[1,1,3,3],[4,4]]=>[2,2,2]
[[1,1,3,4],[4,4]]=>[[1,1,3,4,4,4]]=>[3,2,1]
[[1,1,4,4],[3,4]]=>[[1,1,3,4,4],[4]]=>[3,2,1]
[[1,1,4,4],[4,4]]=>[[1,1,4,4,4,4]]=>[4,2]
[[1,2,2,2],[2,4]]=>[[1,2,2,2,2,4]]=>[4,1,1]
[[1,2,2,2],[3,4]]=>[[1,2,2,2,3,4]]=>[3,1,1,1]
[[1,2,2,3],[2,4]]=>[[1,2,2,2,4],[3]]=>[3,1,1,1]
[[1,2,2,4],[2,3]]=>[[1,2,2,2,3],[4]]=>[3,1,1,1]
[[1,2,2,2],[4,4]]=>[[1,2,2,2,4,4]]=>[3,2,1]
[[1,2,2,4],[2,4]]=>[[1,2,2,2,4],[4]]=>[3,2,1]
[[1,2,2,3],[3,4]]=>[[1,2,2,3,3,4]]=>[2,2,1,1]
[[1,2,2,4],[3,3]]=>[[1,2,2,3,3],[4]]=>[2,2,1,1]
[[1,2,3,3],[2,4]]=>[[1,2,2,3,4],[3]]=>[2,2,1,1]
[[1,2,3,4],[2,3]]=>[[1,2,2,3],[3,4]]=>[2,2,1,1]
[[1,2,2,3],[4,4]]=>[[1,2,2,3,4,4]]=>[2,2,1,1]
[[1,2,2,4],[3,4]]=>[[1,2,2,3,4],[4]]=>[2,2,1,1]
[[1,2,3,4],[2,4]]=>[[1,2,2,4,4],[3]]=>[2,2,1,1]
[[1,2,4,4],[2,3]]=>[[1,2,2,3],[4,4]]=>[2,2,1,1]
[[1,2,2,4],[4,4]]=>[[1,2,2,4,4,4]]=>[3,2,1]
[[1,2,4,4],[2,4]]=>[[1,2,2,4,4],[4]]=>[3,2,1]
[[1,2,3,3],[3,4]]=>[[1,2,3,3,3,4]]=>[3,1,1,1]
[[1,2,3,4],[3,3]]=>[[1,2,3,3,3],[4]]=>[3,1,1,1]
[[1,3,3,3],[2,4]]=>[[1,2,3,3,4],[3]]=>[3,1,1,1]
[[1,2,3,3],[4,4]]=>[[1,2,3,3,4,4]]=>[2,2,1,1]
[[1,2,3,4],[3,4]]=>[[1,2,3,3,4],[4]]=>[2,2,1,1]
[[1,2,4,4],[3,3]]=>[[1,2,3,3],[4,4]]=>[2,2,1,1]
[[1,3,3,4],[2,4]]=>[[1,2,3,4,4],[3]]=>[2,2,1,1]
[[1,2,3,4],[4,4]]=>[[1,2,3,4,4,4]]=>[3,1,1,1]
[[1,2,4,4],[3,4]]=>[[1,2,3,4,4],[4]]=>[3,1,1,1]
[[1,3,4,4],[2,4]]=>[[1,2,4,4,4],[3]]=>[3,1,1,1]
[[1,2,4,4],[4,4]]=>[[1,2,4,4,4,4]]=>[4,1,1]
[[1,3,3,3],[3,4]]=>[[1,3,3,3,3,4]]=>[4,1,1]
[[1,3,3,3],[4,4]]=>[[1,3,3,3,4,4]]=>[3,2,1]
[[1,3,3,4],[3,4]]=>[[1,3,3,3,4],[4]]=>[3,2,1]
[[1,3,3,4],[4,4]]=>[[1,3,3,4,4,4]]=>[3,2,1]
[[1,3,4,4],[3,4]]=>[[1,3,3,4,4],[4]]=>[3,2,1]
[[1,3,4,4],[4,4]]=>[[1,3,4,4,4,4]]=>[4,1,1]
[[2,2,2,2],[3,4]]=>[[2,2,2,2,3,4]]=>[4,1,1]
[[2,2,2,2],[4,4]]=>[[2,2,2,2,4,4]]=>[4,2]
[[2,2,2,3],[3,4]]=>[[2,2,2,3,3,4]]=>[3,2,1]
[[2,2,2,4],[3,3]]=>[[2,2,2,3,3],[4]]=>[3,2,1]
[[2,2,2,3],[4,4]]=>[[2,2,2,3,4,4]]=>[3,2,1]
[[2,2,2,4],[3,4]]=>[[2,2,2,3,4],[4]]=>[3,2,1]
[[2,2,2,4],[4,4]]=>[[2,2,2,4,4,4]]=>[3,3]
[[2,2,3,3],[3,4]]=>[[2,2,3,3,3,4]]=>[3,2,1]
[[2,2,3,4],[3,3]]=>[[2,2,3,3,3],[4]]=>[3,2,1]
[[2,2,3,3],[4,4]]=>[[2,2,3,3,4,4]]=>[2,2,2]
[[2,2,3,4],[3,4]]=>[[2,2,3,3,4],[4]]=>[2,2,2]
[[2,2,4,4],[3,3]]=>[[2,2,3,3],[4,4]]=>[2,2,2]
[[2,2,3,4],[4,4]]=>[[2,2,3,4,4,4]]=>[3,2,1]
[[2,2,4,4],[3,4]]=>[[2,2,3,4,4],[4]]=>[3,2,1]
[[2,2,4,4],[4,4]]=>[[2,2,4,4,4,4]]=>[4,2]
[[2,3,3,3],[3,4]]=>[[2,3,3,3,3,4]]=>[4,1,1]
[[2,3,3,3],[4,4]]=>[[2,3,3,3,4,4]]=>[3,2,1]
[[2,3,3,4],[3,4]]=>[[2,3,3,3,4],[4]]=>[3,2,1]
[[2,3,3,4],[4,4]]=>[[2,3,3,4,4,4]]=>[3,2,1]
[[2,3,4,4],[3,4]]=>[[2,3,3,4,4],[4]]=>[3,2,1]
[[2,3,4,4],[4,4]]=>[[2,3,4,4,4,4]]=>[4,1,1]
[[3,3,3,3],[4,4]]=>[[3,3,3,3,4,4]]=>[4,2]
[[3,3,3,4],[4,4]]=>[[3,3,3,4,4,4]]=>[3,3]
[[3,3,4,4],[4,4]]=>[[3,3,4,4,4,4]]=>[4,2]
[[1,1,1,1],[2],[4]]=>[[1,1,1,1,2],[4]]=>[4,1,1]
[[1,1,1,1],[3],[4]]=>[[1,1,1,1,3],[4]]=>[4,1,1]
[[1,1,1,2],[2],[4]]=>[[1,1,1,2,2],[4]]=>[3,2,1]
[[1,1,1,2],[3],[4]]=>[[1,1,1,2,3],[4]]=>[3,1,1,1]
[[1,1,1,3],[2],[4]]=>[[1,1,1,2,4],[3]]=>[3,1,1,1]
[[1,1,1,4],[2],[3]]=>[[1,1,1,2],[3],[4]]=>[3,1,1,1]
[[1,1,1,4],[2],[4]]=>[[1,1,1,2,4],[4]]=>[3,2,1]
[[1,1,1,3],[3],[4]]=>[[1,1,1,3,3],[4]]=>[3,2,1]
[[1,1,1,4],[3],[4]]=>[[1,1,1,3,4],[4]]=>[3,2,1]
[[1,1,2,2],[2],[4]]=>[[1,1,2,2,2],[4]]=>[3,2,1]
[[1,1,2,2],[3],[4]]=>[[1,1,2,2,3],[4]]=>[2,2,1,1]
[[1,1,2,3],[2],[4]]=>[[1,1,2,2,4],[3]]=>[2,2,1,1]
[[1,1,2,4],[2],[3]]=>[[1,1,2,2],[3],[4]]=>[2,2,1,1]
[[1,1,2,4],[2],[4]]=>[[1,1,2,2,4],[4]]=>[2,2,2]
[[1,1,2,3],[3],[4]]=>[[1,1,2,3,3],[4]]=>[2,2,1,1]
[[1,1,3,3],[2],[4]]=>[[1,1,2,3,4],[3]]=>[2,2,1,1]
[[1,1,3,4],[2],[3]]=>[[1,1,2,3],[3],[4]]=>[2,2,1,1]
[[1,1,2,4],[3],[4]]=>[[1,1,2,3,4],[4]]=>[2,2,1,1]
[[1,1,3,4],[2],[4]]=>[[1,1,2,4,4],[3]]=>[2,2,1,1]
[[1,1,4,4],[2],[3]]=>[[1,1,2,4],[3],[4]]=>[2,2,1,1]
[[1,1,4,4],[2],[4]]=>[[1,1,2,4,4],[4]]=>[3,2,1]
[[1,1,3,3],[3],[4]]=>[[1,1,3,3,3],[4]]=>[3,2,1]
[[1,1,3,4],[3],[4]]=>[[1,1,3,3,4],[4]]=>[2,2,2]
[[1,1,4,4],[3],[4]]=>[[1,1,3,4,4],[4]]=>[3,2,1]
[[1,2,2,2],[2],[4]]=>[[1,2,2,2,2],[4]]=>[4,1,1]
[[1,2,2,2],[3],[4]]=>[[1,2,2,2,3],[4]]=>[3,1,1,1]
[[1,2,2,3],[2],[4]]=>[[1,2,2,2,4],[3]]=>[3,1,1,1]
[[1,2,2,4],[2],[3]]=>[[1,2,2,2],[3],[4]]=>[3,1,1,1]
[[1,2,2,4],[2],[4]]=>[[1,2,2,2,4],[4]]=>[3,2,1]
[[1,2,2,3],[3],[4]]=>[[1,2,2,3,3],[4]]=>[2,2,1,1]
[[1,2,3,3],[2],[4]]=>[[1,2,2,3,4],[3]]=>[2,2,1,1]
[[1,2,3,4],[2],[3]]=>[[1,2,2,3],[3],[4]]=>[2,2,1,1]
[[1,2,2,4],[3],[4]]=>[[1,2,2,3,4],[4]]=>[2,2,1,1]
[[1,2,3,4],[2],[4]]=>[[1,2,2,4,4],[3]]=>[2,2,1,1]
[[1,2,4,4],[2],[3]]=>[[1,2,2,4],[3],[4]]=>[2,2,1,1]
[[1,2,4,4],[2],[4]]=>[[1,2,2,4,4],[4]]=>[3,2,1]
[[1,2,3,3],[3],[4]]=>[[1,2,3,3,3],[4]]=>[3,1,1,1]
[[1,3,3,3],[2],[4]]=>[[1,2,3,3,4],[3]]=>[3,1,1,1]
[[1,3,3,4],[2],[3]]=>[[1,2,3,3],[3],[4]]=>[3,1,1,1]
[[1,2,3,4],[3],[4]]=>[[1,2,3,3,4],[4]]=>[2,2,1,1]
[[1,3,3,4],[2],[4]]=>[[1,2,3,4,4],[3]]=>[2,2,1,1]
[[1,3,4,4],[2],[3]]=>[[1,2,3,4],[3],[4]]=>[2,2,1,1]
[[1,2,4,4],[3],[4]]=>[[1,2,3,4,4],[4]]=>[3,1,1,1]
[[1,3,4,4],[2],[4]]=>[[1,2,4,4,4],[3]]=>[3,1,1,1]
[[1,4,4,4],[2],[3]]=>[[1,2,4,4],[3],[4]]=>[3,1,1,1]
[[1,4,4,4],[2],[4]]=>[[1,2,4,4,4],[4]]=>[4,1,1]
[[1,3,3,3],[3],[4]]=>[[1,3,3,3,3],[4]]=>[4,1,1]
[[1,3,3,4],[3],[4]]=>[[1,3,3,3,4],[4]]=>[3,2,1]
[[1,3,4,4],[3],[4]]=>[[1,3,3,4,4],[4]]=>[3,2,1]
[[1,4,4,4],[3],[4]]=>[[1,3,4,4,4],[4]]=>[4,1,1]
[[2,2,2,2],[3],[4]]=>[[2,2,2,2,3],[4]]=>[4,1,1]
[[2,2,2,3],[3],[4]]=>[[2,2,2,3,3],[4]]=>[3,2,1]
[[2,2,2,4],[3],[4]]=>[[2,2,2,3,4],[4]]=>[3,2,1]
[[2,2,3,3],[3],[4]]=>[[2,2,3,3,3],[4]]=>[3,2,1]
[[2,2,3,4],[3],[4]]=>[[2,2,3,3,4],[4]]=>[2,2,2]
[[2,2,4,4],[3],[4]]=>[[2,2,3,4,4],[4]]=>[3,2,1]
[[2,3,3,3],[3],[4]]=>[[2,3,3,3,3],[4]]=>[4,1,1]
[[2,3,3,4],[3],[4]]=>[[2,3,3,3,4],[4]]=>[3,2,1]
[[2,3,4,4],[3],[4]]=>[[2,3,3,4,4],[4]]=>[3,2,1]
[[2,4,4,4],[3],[4]]=>[[2,3,4,4,4],[4]]=>[4,1,1]
[[1,1,1],[2,2,4]]=>[[1,1,1,2,2,4]]=>[3,2,1]
[[1,1,1],[2,3,4]]=>[[1,1,1,2,3,4]]=>[3,1,1,1]
[[1,1,1],[2,4,4]]=>[[1,1,1,2,4,4]]=>[3,2,1]
[[1,1,1],[3,3,4]]=>[[1,1,1,3,3,4]]=>[3,2,1]
[[1,1,1],[3,4,4]]=>[[1,1,1,3,4,4]]=>[3,2,1]
[[1,1,1],[4,4,4]]=>[[1,1,1,4,4,4]]=>[3,3]
[[1,1,2],[2,2,4]]=>[[1,1,2,2,2,4]]=>[3,2,1]
[[1,1,2],[2,3,4]]=>[[1,1,2,2,3,4]]=>[2,2,1,1]
[[1,1,3],[2,2,4]]=>[[1,1,2,2,4],[3]]=>[2,2,1,1]
[[1,1,2],[2,4,4]]=>[[1,1,2,2,4,4]]=>[2,2,2]
[[1,1,2],[3,3,4]]=>[[1,1,2,3,3,4]]=>[2,2,1,1]
[[1,1,3],[2,3,4]]=>[[1,1,2,3,4],[3]]=>[2,2,1,1]
[[1,1,2],[3,4,4]]=>[[1,1,2,3,4,4]]=>[2,2,1,1]
[[1,1,3],[2,4,4]]=>[[1,1,2,4,4],[3]]=>[2,2,1,1]
[[1,1,2],[4,4,4]]=>[[1,1,2,4,4,4]]=>[3,2,1]
[[1,1,3],[3,3,4]]=>[[1,1,3,3,3,4]]=>[3,2,1]
[[1,1,3],[3,4,4]]=>[[1,1,3,3,4,4]]=>[2,2,2]
[[1,1,3],[4,4,4]]=>[[1,1,3,4,4,4]]=>[3,2,1]
[[1,2,2],[2,3,4]]=>[[1,2,2,2,3,4]]=>[3,1,1,1]
[[1,2,2],[2,4,4]]=>[[1,2,2,2,4,4]]=>[3,2,1]
[[1,2,2],[3,3,4]]=>[[1,2,2,3,3,4]]=>[2,2,1,1]
[[1,2,3],[2,3,4]]=>[[1,2,2,3,4],[3]]=>[2,2,1,1]
[[1,2,2],[3,4,4]]=>[[1,2,2,3,4,4]]=>[2,2,1,1]
[[1,2,3],[2,4,4]]=>[[1,2,2,4,4],[3]]=>[2,2,1,1]
[[1,2,2],[4,4,4]]=>[[1,2,2,4,4,4]]=>[3,2,1]
[[1,2,3],[3,3,4]]=>[[1,2,3,3,3,4]]=>[3,1,1,1]
[[1,2,3],[3,4,4]]=>[[1,2,3,3,4,4]]=>[2,2,1,1]
[[1,3,3],[2,4,4]]=>[[1,2,3,4,4],[3]]=>[2,2,1,1]
[[1,2,3],[4,4,4]]=>[[1,2,3,4,4,4]]=>[3,1,1,1]
[[1,3,3],[3,4,4]]=>[[1,3,3,3,4,4]]=>[3,2,1]
[[1,3,3],[4,4,4]]=>[[1,3,3,4,4,4]]=>[3,2,1]
[[2,2,2],[3,3,4]]=>[[2,2,2,3,3,4]]=>[3,2,1]
[[2,2,2],[3,4,4]]=>[[2,2,2,3,4,4]]=>[3,2,1]
[[2,2,2],[4,4,4]]=>[[2,2,2,4,4,4]]=>[3,3]
[[2,2,3],[3,3,4]]=>[[2,2,3,3,3,4]]=>[3,2,1]
[[2,2,3],[3,4,4]]=>[[2,2,3,3,4,4]]=>[2,2,2]
[[2,2,3],[4,4,4]]=>[[2,2,3,4,4,4]]=>[3,2,1]
[[2,3,3],[3,4,4]]=>[[2,3,3,3,4,4]]=>[3,2,1]
[[2,3,3],[4,4,4]]=>[[2,3,3,4,4,4]]=>[3,2,1]
[[3,3,3],[4,4,4]]=>[[3,3,3,4,4,4]]=>[3,3]
[[1,1,1],[2,2],[4]]=>[[1,1,1,2,2],[4]]=>[3,2,1]
[[1,1,1],[2,3],[4]]=>[[1,1,1,2,3],[4]]=>[3,1,1,1]
[[1,1,1],[2,4],[3]]=>[[1,1,1,2,4],[3]]=>[3,1,1,1]
[[1,1,1],[2,4],[4]]=>[[1,1,1,2,4],[4]]=>[3,2,1]
[[1,1,1],[3,3],[4]]=>[[1,1,1,3,3],[4]]=>[3,2,1]
[[1,1,1],[3,4],[4]]=>[[1,1,1,3,4],[4]]=>[3,2,1]
[[1,1,2],[2,2],[4]]=>[[1,1,2,2,2],[4]]=>[3,2,1]
[[1,1,2],[2,3],[4]]=>[[1,1,2,2,3],[4]]=>[2,2,1,1]
[[1,1,2],[2,4],[3]]=>[[1,1,2,2,4],[3]]=>[2,2,1,1]
[[1,1,3],[2,2],[4]]=>[[1,1,2,2],[3,4]]=>[2,2,1,1]
[[1,1,4],[2,2],[3]]=>[[1,1,2,2],[3],[4]]=>[2,2,1,1]
[[1,1,2],[2,4],[4]]=>[[1,1,2,2,4],[4]]=>[2,2,2]
[[1,1,4],[2,2],[4]]=>[[1,1,2,2],[4,4]]=>[2,2,2]
[[1,1,2],[3,3],[4]]=>[[1,1,2,3,3],[4]]=>[2,2,1,1]
[[1,1,3],[2,3],[4]]=>[[1,1,2,3],[3,4]]=>[2,2,1,1]
[[1,1,3],[2,4],[3]]=>[[1,1,2,3,4],[3]]=>[2,2,1,1]
[[1,1,4],[2,3],[3]]=>[[1,1,2,3],[3],[4]]=>[2,2,1,1]
[[1,1,2],[3,4],[4]]=>[[1,1,2,3,4],[4]]=>[2,2,1,1]
[[1,1,3],[2,4],[4]]=>[[1,1,2,4,4],[3]]=>[2,2,1,1]
[[1,1,4],[2,3],[4]]=>[[1,1,2,3],[4,4]]=>[2,2,1,1]
[[1,1,4],[2,4],[3]]=>[[1,1,2,4],[3],[4]]=>[2,2,1,1]
[[1,1,4],[2,4],[4]]=>[[1,1,2,4,4],[4]]=>[3,2,1]
[[1,1,3],[3,3],[4]]=>[[1,1,3,3,3],[4]]=>[3,2,1]
[[1,1,3],[3,4],[4]]=>[[1,1,3,3,4],[4]]=>[2,2,2]
[[1,1,4],[3,3],[4]]=>[[1,1,3,3],[4,4]]=>[2,2,2]
[[1,1,4],[3,4],[4]]=>[[1,1,3,4,4],[4]]=>[3,2,1]
[[1,2,2],[2,3],[4]]=>[[1,2,2,2,3],[4]]=>[3,1,1,1]
[[1,2,2],[2,4],[3]]=>[[1,2,2,2,4],[3]]=>[3,1,1,1]
[[1,2,2],[2,4],[4]]=>[[1,2,2,2,4],[4]]=>[3,2,1]
[[1,2,2],[3,3],[4]]=>[[1,2,2,3,3],[4]]=>[2,2,1,1]
[[1,2,3],[2,3],[4]]=>[[1,2,2,3],[3,4]]=>[2,2,1,1]
[[1,2,3],[2,4],[3]]=>[[1,2,2,3,4],[3]]=>[2,2,1,1]
[[1,2,4],[2,3],[3]]=>[[1,2,2,3],[3],[4]]=>[2,2,1,1]
[[1,2,2],[3,4],[4]]=>[[1,2,2,3,4],[4]]=>[2,2,1,1]
[[1,2,3],[2,4],[4]]=>[[1,2,2,4,4],[3]]=>[2,2,1,1]
[[1,2,4],[2,3],[4]]=>[[1,2,2,3],[4,4]]=>[2,2,1,1]
[[1,2,4],[2,4],[3]]=>[[1,2,2,4],[3],[4]]=>[2,2,1,1]
[[1,2,4],[2,4],[4]]=>[[1,2,2,4,4],[4]]=>[3,2,1]
[[1,2,3],[3,3],[4]]=>[[1,2,3,3,3],[4]]=>[3,1,1,1]
[[1,3,3],[2,4],[3]]=>[[1,2,3,3,4],[3]]=>[3,1,1,1]
[[1,2,3],[3,4],[4]]=>[[1,2,3,3,4],[4]]=>[2,2,1,1]
[[1,2,4],[3,3],[4]]=>[[1,2,3,3],[4,4]]=>[2,2,1,1]
[[1,3,3],[2,4],[4]]=>[[1,2,3,4,4],[3]]=>[2,2,1,1]
[[1,3,4],[2,4],[3]]=>[[1,2,3,4],[3],[4]]=>[2,2,1,1]
[[1,2,4],[3,4],[4]]=>[[1,2,3,4,4],[4]]=>[3,1,1,1]
[[1,3,4],[2,4],[4]]=>[[1,2,4,4,4],[3]]=>[3,1,1,1]
[[1,3,3],[3,4],[4]]=>[[1,3,3,3,4],[4]]=>[3,2,1]
[[1,3,4],[3,4],[4]]=>[[1,3,3,4,4],[4]]=>[3,2,1]
[[2,2,2],[3,3],[4]]=>[[2,2,2,3,3],[4]]=>[3,2,1]
[[2,2,2],[3,4],[4]]=>[[2,2,2,3,4],[4]]=>[3,2,1]
[[2,2,3],[3,3],[4]]=>[[2,2,3,3,3],[4]]=>[3,2,1]
[[2,2,3],[3,4],[4]]=>[[2,2,3,3,4],[4]]=>[2,2,2]
[[2,2,4],[3,3],[4]]=>[[2,2,3,3],[4,4]]=>[2,2,2]
[[2,2,4],[3,4],[4]]=>[[2,2,3,4,4],[4]]=>[3,2,1]
[[2,3,3],[3,4],[4]]=>[[2,3,3,3,4],[4]]=>[3,2,1]
[[2,3,4],[3,4],[4]]=>[[2,3,3,4,4],[4]]=>[3,2,1]
[[1,1,1],[2],[3],[4]]=>[[1,1,1,2],[3],[4]]=>[3,1,1,1]
[[1,1,2],[2],[3],[4]]=>[[1,1,2,2],[3],[4]]=>[2,2,1,1]
[[1,1,3],[2],[3],[4]]=>[[1,1,2,3],[3],[4]]=>[2,2,1,1]
[[1,1,4],[2],[3],[4]]=>[[1,1,2,4],[3],[4]]=>[2,2,1,1]
[[1,2,2],[2],[3],[4]]=>[[1,2,2,2],[3],[4]]=>[3,1,1,1]
[[1,2,3],[2],[3],[4]]=>[[1,2,2,3],[3],[4]]=>[2,2,1,1]
[[1,2,4],[2],[3],[4]]=>[[1,2,2,4],[3],[4]]=>[2,2,1,1]
[[1,3,3],[2],[3],[4]]=>[[1,2,3,3],[3],[4]]=>[3,1,1,1]
[[1,3,4],[2],[3],[4]]=>[[1,2,3,4],[3],[4]]=>[2,2,1,1]
[[1,4,4],[2],[3],[4]]=>[[1,2,4,4],[3],[4]]=>[3,1,1,1]
[[1,1],[2,2],[3,4]]=>[[1,1,2,2],[3,4]]=>[2,2,1,1]
[[1,1],[2,2],[4,4]]=>[[1,1,2,2],[4,4]]=>[2,2,2]
[[1,1],[2,3],[3,4]]=>[[1,1,2,3],[3,4]]=>[2,2,1,1]
[[1,1],[2,3],[4,4]]=>[[1,1,2,3],[4,4]]=>[2,2,1,1]
[[1,1],[3,3],[4,4]]=>[[1,1,3,3],[4,4]]=>[2,2,2]
[[1,2],[2,3],[3,4]]=>[[1,2,2,3],[3,4]]=>[2,2,1,1]
[[1,2],[2,3],[4,4]]=>[[1,2,2,3],[4,4]]=>[2,2,1,1]
[[1,2],[3,3],[4,4]]=>[[1,2,3,3],[4,4]]=>[2,2,1,1]
[[2,2],[3,3],[4,4]]=>[[2,2,3,3],[4,4]]=>[2,2,2]
[[1,1],[2,2],[3],[4]]=>[[1,1,2,2],[3],[4]]=>[2,2,1,1]
[[1,1],[2,3],[3],[4]]=>[[1,1,2,3],[3],[4]]=>[2,2,1,1]
[[1,1],[2,4],[3],[4]]=>[[1,1,2,4],[3],[4]]=>[2,2,1,1]
[[1,2],[2,3],[3],[4]]=>[[1,2,2,3],[3],[4]]=>[2,2,1,1]
[[1,2],[2,4],[3],[4]]=>[[1,2,2,4],[3],[4]]=>[2,2,1,1]
[[1,3],[2,4],[3],[4]]=>[[1,2,3,4],[3],[4]]=>[2,2,1,1]
[[1,1,1,1,1,1,3]]=>[[1,1,1,1,1,1,3]]=>[6,1]
[[1,1,1,1,1,2,3]]=>[[1,1,1,1,1,2,3]]=>[5,1,1]
[[1,1,1,1,1,3,3]]=>[[1,1,1,1,1,3,3]]=>[5,2]
[[1,1,1,1,2,2,3]]=>[[1,1,1,1,2,2,3]]=>[4,2,1]
[[1,1,1,1,2,3,3]]=>[[1,1,1,1,2,3,3]]=>[4,2,1]
[[1,1,1,1,3,3,3]]=>[[1,1,1,1,3,3,3]]=>[4,3]
[[1,1,1,2,2,2,3]]=>[[1,1,1,2,2,2,3]]=>[3,3,1]
[[1,1,1,2,2,3,3]]=>[[1,1,1,2,2,3,3]]=>[3,2,2]
[[1,1,1,2,3,3,3]]=>[[1,1,1,2,3,3,3]]=>[3,3,1]
[[1,1,1,3,3,3,3]]=>[[1,1,1,3,3,3,3]]=>[4,3]
[[1,1,2,2,2,2,3]]=>[[1,1,2,2,2,2,3]]=>[4,2,1]
[[1,1,2,2,2,3,3]]=>[[1,1,2,2,2,3,3]]=>[3,2,2]
[[1,1,2,2,3,3,3]]=>[[1,1,2,2,3,3,3]]=>[3,2,2]
[[1,1,2,3,3,3,3]]=>[[1,1,2,3,3,3,3]]=>[4,2,1]
[[1,1,3,3,3,3,3]]=>[[1,1,3,3,3,3,3]]=>[5,2]
[[1,2,2,2,2,2,3]]=>[[1,2,2,2,2,2,3]]=>[5,1,1]
[[1,2,2,2,2,3,3]]=>[[1,2,2,2,2,3,3]]=>[4,2,1]
[[1,2,2,2,3,3,3]]=>[[1,2,2,2,3,3,3]]=>[3,3,1]
[[1,2,2,3,3,3,3]]=>[[1,2,2,3,3,3,3]]=>[4,2,1]
[[1,2,3,3,3,3,3]]=>[[1,2,3,3,3,3,3]]=>[5,1,1]
[[1,3,3,3,3,3,3]]=>[[1,3,3,3,3,3,3]]=>[6,1]
[[2,2,2,2,2,2,3]]=>[[2,2,2,2,2,2,3]]=>[6,1]
[[2,2,2,2,2,3,3]]=>[[2,2,2,2,2,3,3]]=>[5,2]
[[2,2,2,2,3,3,3]]=>[[2,2,2,2,3,3,3]]=>[4,3]
[[2,2,2,3,3,3,3]]=>[[2,2,2,3,3,3,3]]=>[4,3]
[[2,2,3,3,3,3,3]]=>[[2,2,3,3,3,3,3]]=>[5,2]
[[2,3,3,3,3,3,3]]=>[[2,3,3,3,3,3,3]]=>[6,1]
[[3,3,3,3,3,3,3]]=>[[3,3,3,3,3,3,3]]=>[7]
[[1,1,1,1,1,1],[3]]=>[[1,1,1,1,1,1,3]]=>[6,1]
[[1,1,1,1,1,2],[3]]=>[[1,1,1,1,1,2,3]]=>[5,1,1]
[[1,1,1,1,1,3],[2]]=>[[1,1,1,1,1,2],[3]]=>[5,1,1]
[[1,1,1,1,1,3],[3]]=>[[1,1,1,1,1,3,3]]=>[5,2]
[[1,1,1,1,2,2],[3]]=>[[1,1,1,1,2,2,3]]=>[4,2,1]
[[1,1,1,1,2,3],[2]]=>[[1,1,1,1,2,2],[3]]=>[4,2,1]
[[1,1,1,1,2,3],[3]]=>[[1,1,1,1,2,3,3]]=>[4,2,1]
[[1,1,1,1,3,3],[2]]=>[[1,1,1,1,2,3],[3]]=>[4,2,1]
[[1,1,1,1,3,3],[3]]=>[[1,1,1,1,3,3,3]]=>[4,3]
[[1,1,1,2,2,2],[3]]=>[[1,1,1,2,2,2,3]]=>[3,3,1]
[[1,1,1,2,2,3],[2]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1,2,2,3],[3]]=>[[1,1,1,2,2,3,3]]=>[3,2,2]
[[1,1,1,2,3,3],[2]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1,2,3,3],[3]]=>[[1,1,1,2,3,3,3]]=>[3,3,1]
[[1,1,1,3,3,3],[2]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,1,3,3,3],[3]]=>[[1,1,1,3,3,3,3]]=>[4,3]
[[1,1,2,2,2,2],[3]]=>[[1,1,2,2,2,2,3]]=>[4,2,1]
[[1,1,2,2,2,3],[2]]=>[[1,1,2,2,2,2],[3]]=>[4,2,1]
[[1,1,2,2,2,3],[3]]=>[[1,1,2,2,2,3,3]]=>[3,2,2]
[[1,1,2,2,3,3],[2]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2,2,3,3],[3]]=>[[1,1,2,2,3,3,3]]=>[3,2,2]
[[1,1,2,3,3,3],[2]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,1,2,3,3,3],[3]]=>[[1,1,2,3,3,3,3]]=>[4,2,1]
[[1,1,3,3,3,3],[2]]=>[[1,1,2,3,3,3],[3]]=>[4,2,1]
[[1,1,3,3,3,3],[3]]=>[[1,1,3,3,3,3,3]]=>[5,2]
[[1,2,2,2,2,2],[3]]=>[[1,2,2,2,2,2,3]]=>[5,1,1]
[[1,2,2,2,2,3],[2]]=>[[1,2,2,2,2,2],[3]]=>[5,1,1]
[[1,2,2,2,2,3],[3]]=>[[1,2,2,2,2,3,3]]=>[4,2,1]
[[1,2,2,2,3,3],[2]]=>[[1,2,2,2,2,3],[3]]=>[4,2,1]
[[1,2,2,2,3,3],[3]]=>[[1,2,2,2,3,3,3]]=>[3,3,1]
[[1,2,2,3,3,3],[2]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,2,2,3,3,3],[3]]=>[[1,2,2,3,3,3,3]]=>[4,2,1]
[[1,2,3,3,3,3],[2]]=>[[1,2,2,3,3,3],[3]]=>[4,2,1]
[[1,2,3,3,3,3],[3]]=>[[1,2,3,3,3,3,3]]=>[5,1,1]
[[1,3,3,3,3,3],[2]]=>[[1,2,3,3,3,3],[3]]=>[5,1,1]
[[1,3,3,3,3,3],[3]]=>[[1,3,3,3,3,3,3]]=>[6,1]
[[2,2,2,2,2,2],[3]]=>[[2,2,2,2,2,2,3]]=>[6,1]
[[2,2,2,2,2,3],[3]]=>[[2,2,2,2,2,3,3]]=>[5,2]
[[2,2,2,2,3,3],[3]]=>[[2,2,2,2,3,3,3]]=>[4,3]
[[2,2,2,3,3,3],[3]]=>[[2,2,2,3,3,3,3]]=>[4,3]
[[2,2,3,3,3,3],[3]]=>[[2,2,3,3,3,3,3]]=>[5,2]
[[2,3,3,3,3,3],[3]]=>[[2,3,3,3,3,3,3]]=>[6,1]
[[1,1,1,1,1],[2,3]]=>[[1,1,1,1,1,2,3]]=>[5,1,1]
[[1,1,1,1,1],[3,3]]=>[[1,1,1,1,1,3,3]]=>[5,2]
[[1,1,1,1,2],[2,3]]=>[[1,1,1,1,2,2,3]]=>[4,2,1]
[[1,1,1,1,3],[2,2]]=>[[1,1,1,1,2,2],[3]]=>[4,2,1]
[[1,1,1,1,2],[3,3]]=>[[1,1,1,1,2,3,3]]=>[4,2,1]
[[1,1,1,1,3],[2,3]]=>[[1,1,1,1,2,3],[3]]=>[4,2,1]
[[1,1,1,1,3],[3,3]]=>[[1,1,1,1,3,3,3]]=>[4,3]
[[1,1,1,2,2],[2,3]]=>[[1,1,1,2,2,2,3]]=>[3,3,1]
[[1,1,1,2,3],[2,2]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1,2,2],[3,3]]=>[[1,1,1,2,2,3,3]]=>[3,2,2]
[[1,1,1,2,3],[2,3]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1,3,3],[2,2]]=>[[1,1,1,2,2],[3,3]]=>[3,2,2]
[[1,1,1,2,3],[3,3]]=>[[1,1,1,2,3,3,3]]=>[3,3,1]
[[1,1,1,3,3],[2,3]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,1,3,3],[3,3]]=>[[1,1,1,3,3,3,3]]=>[4,3]
[[1,1,2,2,2],[2,3]]=>[[1,1,2,2,2,2,3]]=>[4,2,1]
[[1,1,2,2,3],[2,2]]=>[[1,1,2,2,2,2],[3]]=>[4,2,1]
[[1,1,2,2,2],[3,3]]=>[[1,1,2,2,2,3,3]]=>[3,2,2]
[[1,1,2,2,3],[2,3]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2,3,3],[2,2]]=>[[1,1,2,2,2],[3,3]]=>[3,2,2]
[[1,1,2,2,3],[3,3]]=>[[1,1,2,2,3,3,3]]=>[3,2,2]
[[1,1,2,3,3],[2,3]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,1,3,3,3],[2,2]]=>[[1,1,2,2,3],[3,3]]=>[3,2,2]
[[1,1,2,3,3],[3,3]]=>[[1,1,2,3,3,3,3]]=>[4,2,1]
[[1,1,3,3,3],[2,3]]=>[[1,1,2,3,3,3],[3]]=>[4,2,1]
[[1,1,3,3,3],[3,3]]=>[[1,1,3,3,3,3,3]]=>[5,2]
[[1,2,2,2,2],[2,3]]=>[[1,2,2,2,2,2,3]]=>[5,1,1]
[[1,2,2,2,2],[3,3]]=>[[1,2,2,2,2,3,3]]=>[4,2,1]
[[1,2,2,2,3],[2,3]]=>[[1,2,2,2,2,3],[3]]=>[4,2,1]
[[1,2,2,2,3],[3,3]]=>[[1,2,2,2,3,3,3]]=>[3,3,1]
[[1,2,2,3,3],[2,3]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,2,2,3,3],[3,3]]=>[[1,2,2,3,3,3,3]]=>[4,2,1]
[[1,2,3,3,3],[2,3]]=>[[1,2,2,3,3,3],[3]]=>[4,2,1]
[[1,2,3,3,3],[3,3]]=>[[1,2,3,3,3,3,3]]=>[5,1,1]
[[2,2,2,2,2],[3,3]]=>[[2,2,2,2,2,3,3]]=>[5,2]
[[2,2,2,2,3],[3,3]]=>[[2,2,2,2,3,3,3]]=>[4,3]
[[2,2,2,3,3],[3,3]]=>[[2,2,2,3,3,3,3]]=>[4,3]
[[2,2,3,3,3],[3,3]]=>[[2,2,3,3,3,3,3]]=>[5,2]
[[1,1,1,1,1],[2],[3]]=>[[1,1,1,1,1,2],[3]]=>[5,1,1]
[[1,1,1,1,2],[2],[3]]=>[[1,1,1,1,2,2],[3]]=>[4,2,1]
[[1,1,1,1,3],[2],[3]]=>[[1,1,1,1,2,3],[3]]=>[4,2,1]
[[1,1,1,2,2],[2],[3]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1,2,3],[2],[3]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1,3,3],[2],[3]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,2,2,2],[2],[3]]=>[[1,1,2,2,2,2],[3]]=>[4,2,1]
[[1,1,2,2,3],[2],[3]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2,3,3],[2],[3]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,1,3,3,3],[2],[3]]=>[[1,1,2,3,3,3],[3]]=>[4,2,1]
[[1,2,2,2,2],[2],[3]]=>[[1,2,2,2,2,2],[3]]=>[5,1,1]
[[1,2,2,2,3],[2],[3]]=>[[1,2,2,2,2,3],[3]]=>[4,2,1]
[[1,2,2,3,3],[2],[3]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,2,3,3,3],[2],[3]]=>[[1,2,2,3,3,3],[3]]=>[4,2,1]
[[1,3,3,3,3],[2],[3]]=>[[1,2,3,3,3,3],[3]]=>[5,1,1]
[[1,1,1,1],[2,2,3]]=>[[1,1,1,1,2,2,3]]=>[4,2,1]
[[1,1,1,1],[2,3,3]]=>[[1,1,1,1,2,3,3]]=>[4,2,1]
[[1,1,1,1],[3,3,3]]=>[[1,1,1,1,3,3,3]]=>[4,3]
[[1,1,1,2],[2,2,3]]=>[[1,1,1,2,2,2,3]]=>[3,3,1]
[[1,1,1,3],[2,2,2]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1,2],[2,3,3]]=>[[1,1,1,2,2,3,3]]=>[3,2,2]
[[1,1,1,3],[2,2,3]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1,2],[3,3,3]]=>[[1,1,1,2,3,3,3]]=>[3,3,1]
[[1,1,1,3],[2,3,3]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,1,3],[3,3,3]]=>[[1,1,1,3,3,3,3]]=>[4,3]
[[1,1,2,2],[2,2,3]]=>[[1,1,2,2,2,2,3]]=>[4,2,1]
[[1,1,2,2],[2,3,3]]=>[[1,1,2,2,2,3,3]]=>[3,2,2]
[[1,1,2,3],[2,2,3]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2,2],[3,3,3]]=>[[1,1,2,2,3,3,3]]=>[3,2,2]
[[1,1,2,3],[2,3,3]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,1,2,3],[3,3,3]]=>[[1,1,2,3,3,3,3]]=>[4,2,1]
[[1,2,2,2],[2,3,3]]=>[[1,2,2,2,2,3,3]]=>[4,2,1]
[[1,2,2,2],[3,3,3]]=>[[1,2,2,2,3,3,3]]=>[3,3,1]
[[1,2,2,3],[2,3,3]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,2,2,3],[3,3,3]]=>[[1,2,2,3,3,3,3]]=>[4,2,1]
[[2,2,2,2],[3,3,3]]=>[[2,2,2,2,3,3,3]]=>[4,3]
[[2,2,2,3],[3,3,3]]=>[[2,2,2,3,3,3,3]]=>[4,3]
[[1,1,1,1],[2,2],[3]]=>[[1,1,1,1,2,2],[3]]=>[4,2,1]
[[1,1,1,1],[2,3],[3]]=>[[1,1,1,1,2,3],[3]]=>[4,2,1]
[[1,1,1,2],[2,2],[3]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1,2],[2,3],[3]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1,3],[2,2],[3]]=>[[1,1,1,2,2],[3,3]]=>[3,2,2]
[[1,1,1,3],[2,3],[3]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,2,2],[2,2],[3]]=>[[1,1,2,2,2,2],[3]]=>[4,2,1]
[[1,1,2,2],[2,3],[3]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2,3],[2,2],[3]]=>[[1,1,2,2,2],[3,3]]=>[3,2,2]
[[1,1,2,3],[2,3],[3]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,1,3,3],[2,2],[3]]=>[[1,1,2,2,3],[3,3]]=>[3,2,2]
[[1,1,3,3],[2,3],[3]]=>[[1,1,2,3,3,3],[3]]=>[4,2,1]
[[1,2,2,2],[2,3],[3]]=>[[1,2,2,2,2,3],[3]]=>[4,2,1]
[[1,2,2,3],[2,3],[3]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,2,3,3],[2,3],[3]]=>[[1,2,2,3,3,3],[3]]=>[4,2,1]
[[1,1,1],[2,2,2],[3]]=>[[1,1,1,2,2,2],[3]]=>[3,3,1]
[[1,1,1],[2,2,3],[3]]=>[[1,1,1,2,2,3],[3]]=>[3,2,2]
[[1,1,1],[2,3,3],[3]]=>[[1,1,1,2,3,3],[3]]=>[3,3,1]
[[1,1,2],[2,2,3],[3]]=>[[1,1,2,2,2,3],[3]]=>[3,2,2]
[[1,1,2],[2,3,3],[3]]=>[[1,1,2,2,3,3],[3]]=>[3,2,2]
[[1,2,2],[2,3,3],[3]]=>[[1,2,2,2,3,3],[3]]=>[3,3,1]
[[1,1,1],[2,2],[3,3]]=>[[1,1,1,2,2],[3,3]]=>[3,2,2]
[[1,1,2],[2,2],[3,3]]=>[[1,1,2,2,2],[3,3]]=>[3,2,2]
[[1,1,3],[2,2],[3,3]]=>[[1,1,2,2,3],[3,3]]=>[3,2,2]
[[1,1,1,1,1,1,1,2]]=>[[1,1,1,1,1,1,1,2]]=>[7,1]
[[1,1,1,1,1,1,2,2]]=>[[1,1,1,1,1,1,2,2]]=>[6,2]
[[1,1,1,1,1,2,2,2]]=>[[1,1,1,1,1,2,2,2]]=>[5,3]
[[1,1,1,1,2,2,2,2]]=>[[1,1,1,1,2,2,2,2]]=>[4,4]
[[1,1,1,2,2,2,2,2]]=>[[1,1,1,2,2,2,2,2]]=>[5,3]
[[1,1,2,2,2,2,2,2]]=>[[1,1,2,2,2,2,2,2]]=>[6,2]
[[1,2,2,2,2,2,2,2]]=>[[1,2,2,2,2,2,2,2]]=>[7,1]
[[2,2,2,2,2,2,2,2]]=>[[2,2,2,2,2,2,2,2]]=>[8]
[[1,1,1,1,1,1,1],[2]]=>[[1,1,1,1,1,1,1,2]]=>[7,1]
[[1,1,1,1,1,1,2],[2]]=>[[1,1,1,1,1,1,2,2]]=>[6,2]
[[1,1,1,1,1,2,2],[2]]=>[[1,1,1,1,1,2,2,2]]=>[5,3]
[[1,1,1,1,2,2,2],[2]]=>[[1,1,1,1,2,2,2,2]]=>[4,4]
[[1,1,1,2,2,2,2],[2]]=>[[1,1,1,2,2,2,2,2]]=>[5,3]
[[1,1,2,2,2,2,2],[2]]=>[[1,1,2,2,2,2,2,2]]=>[6,2]
[[1,2,2,2,2,2,2],[2]]=>[[1,2,2,2,2,2,2,2]]=>[7,1]
[[1,1,1,1,1,1],[2,2]]=>[[1,1,1,1,1,1,2,2]]=>[6,2]
[[1,1,1,1,1,2],[2,2]]=>[[1,1,1,1,1,2,2,2]]=>[5,3]
[[1,1,1,1,2,2],[2,2]]=>[[1,1,1,1,2,2,2,2]]=>[4,4]
[[1,1,1,2,2,2],[2,2]]=>[[1,1,1,2,2,2,2,2]]=>[5,3]
[[1,1,2,2,2,2],[2,2]]=>[[1,1,2,2,2,2,2,2]]=>[6,2]
[[1,1,1,1,1],[2,2,2]]=>[[1,1,1,1,1,2,2,2]]=>[5,3]
[[1,1,1,1,2],[2,2,2]]=>[[1,1,1,1,2,2,2,2]]=>[4,4]
[[1,1,1,2,2],[2,2,2]]=>[[1,1,1,2,2,2,2,2]]=>[5,3]
[[1,1,1,1],[2,2,2,2]]=>[[1,1,1,1,2,2,2,2]]=>[4,4]
[[1]]=>[[1]]=>[1]
[[2]]=>[[2]]=>[1]
[[1,1]]=>[[1,1]]=>[2]
[[3]]=>[[3]]=>[1]
[[1,1,1]]=>[[1,1,1]]=>[3]
[[4]]=>[[4]]=>[1]
[[1,1,1,1]]=>[[1,1,1,1]]=>[4]
[[5]]=>[[5]]=>[1]
[[1,1,1,1,1]]=>[[1,1,1,1,1]]=>[5]
[[6]]=>[[6]]=>[1]
[[1,2,3,4,5,6]]=>[[1,2,3,4,5,6]]=>[1,1,1,1,1,1]
[[1,2,3,4,5],[6]]=>[[1,2,3,4,5,6]]=>[1,1,1,1,1,1]
[[1,2,3,4,6],[5]]=>[[1,2,3,4,5],[6]]=>[1,1,1,1,1,1]
[[1,2,3,4],[5],[6]]=>[[1,2,3,4,5],[6]]=>[1,1,1,1,1,1]
[[1,2,3,5,6],[4]]=>[[1,2,3,4,6],[5]]=>[1,1,1,1,1,1]
[[1,2,3,5],[4,6]]=>[[1,2,3,4,6],[5]]=>[1,1,1,1,1,1]
[[1,2,3,5],[4],[6]]=>[[1,2,3,4,6],[5]]=>[1,1,1,1,1,1]
[[1,2,3,4],[5,6]]=>[[1,2,3,4,5,6]]=>[1,1,1,1,1,1]
[[1,2,3,6],[4],[5]]=>[[1,2,3,4],[5],[6]]=>[1,1,1,1,1,1]
[[1,2,3],[4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[1,1,1,1,1,1]
[[1,2,4,5,6],[3]]=>[[1,2,3,5,6],[4]]=>[1,1,1,1,1,1]
[[1,2,4,5],[3,6]]=>[[1,2,3,5,6],[4]]=>[1,1,1,1,1,1]
[[1,2,4,6],[3,5]]=>[[1,2,3,5],[4,6]]=>[1,1,1,1,1,1]
[[1,2,4],[3,5],[6]]=>[[1,2,3,5],[4,6]]=>[1,1,1,1,1,1]
[[1,2,4,5],[3],[6]]=>[[1,2,3,5,6],[4]]=>[1,1,1,1,1,1]
[[1,2,4,6],[3],[5]]=>[[1,2,3,5],[4],[6]]=>[1,1,1,1,1,1]
[[1,2,4],[3],[5],[6]]=>[[1,2,3,5],[4],[6]]=>[1,1,1,1,1,1]
[[1,2,3,6],[4,5]]=>[[1,2,3,4,5],[6]]=>[1,1,1,1,1,1]
[[1,2,3],[4,5],[6]]=>[[1,2,3,4,5],[6]]=>[1,1,1,1,1,1]
[[1,2,5,6],[3],[4]]=>[[1,2,3,6],[4],[5]]=>[1,1,1,1,1,1]
[[1,2,5],[3,6],[4]]=>[[1,2,3,6],[4],[5]]=>[1,1,1,1,1,1]
[[1,2,5],[3],[4],[6]]=>[[1,2,3,6],[4],[5]]=>[1,1,1,1,1,1]
[[1,2,3],[4,6],[5]]=>[[1,2,3,4,6],[5]]=>[1,1,1,1,1,1]
[[1,2,4],[3,6],[5]]=>[[1,2,3,5,6],[4]]=>[1,1,1,1,1,1]
[[1,2,6],[3],[4],[5]]=>[[1,2,3],[4],[5],[6]]=>[1,1,1,1,1,1]
[[1,2],[3],[4],[5],[6]]=>[[1,2,3],[4],[5],[6]]=>[1,1,1,1,1,1]
[[1,3,4,5,6],[2]]=>[[1,2,4,5,6],[3]]=>[1,1,1,1,1,1]
[[1,3,4,5],[2,6]]=>[[1,2,4,5,6],[3]]=>[1,1,1,1,1,1]
[[1,3,4,6],[2,5]]=>[[1,2,4,5],[3,6]]=>[1,1,1,1,1,1]
[[1,3,4],[2,5],[6]]=>[[1,2,4,5],[3,6]]=>[1,1,1,1,1,1]
[[1,3,5,6],[2,4]]=>[[1,2,4,6],[3,5]]=>[1,1,1,1,1,1]
[[1,3,5],[2,4,6]]=>[[1,2,4,6],[3,5]]=>[1,1,1,1,1,1]
[[1,3,5],[2,4],[6]]=>[[1,2,4,6],[3,5]]=>[1,1,1,1,1,1]
[[1,3,4],[2,5,6]]=>[[1,2,4,5,6],[3]]=>[1,1,1,1,1,1]
[[1,3,6],[2,4],[5]]=>[[1,2,4],[3,5],[6]]=>[1,1,1,1,1,1]
[[1,3],[2,4],[5],[6]]=>[[1,2,4],[3,5],[6]]=>[1,1,1,1,1,1]
[[1,3,4,5],[2],[6]]=>[[1,2,4,5,6],[3]]=>[1,1,1,1,1,1]
[[1,3,4,6],[2],[5]]=>[[1,2,4,5],[3],[6]]=>[1,1,1,1,1,1]
[[1,3,4],[2],[5],[6]]=>[[1,2,4,5],[3],[6]]=>[1,1,1,1,1,1]
[[1,3,5,6],[2],[4]]=>[[1,2,4,6],[3],[5]]=>[1,1,1,1,1,1]
[[1,3,5],[2,6],[4]]=>[[1,2,4,6],[3],[5]]=>[1,1,1,1,1,1]
[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]=>[1,1,1,1,1,1]
[[1,3,4],[2,6],[5]]=>[[1,2,4,5,6],[3]]=>[1,1,1,1,1,1]
[[1,3,6],[2],[4],[5]]=>[[1,2,4],[3],[5],[6]]=>[1,1,1,1,1,1]
[[1,3],[2],[4],[5],[6]]=>[[1,2,4],[3],[5],[6]]=>[1,1,1,1,1,1]
[[1,2,5,6],[3,4]]=>[[1,2,3,4],[5,6]]=>[1,1,1,1,1,1]
[[1,2,5],[3,4,6]]=>[[1,2,3,4,6],[5]]=>[1,1,1,1,1,1]
[[1,2,5],[3,4],[6]]=>[[1,2,3,4],[5,6]]=>[1,1,1,1,1,1]
[[1,2,4],[3,5,6]]=>[[1,2,3,5,6],[4]]=>[1,1,1,1,1,1]
[[1,2,6],[3,4],[5]]=>[[1,2,3,4],[5],[6]]=>[1,1,1,1,1,1]
[[1,2],[3,4],[5],[6]]=>[[1,2,3,4],[5],[6]]=>[1,1,1,1,1,1]
[[1,4,5,6],[2],[3]]=>[[1,2,5,6],[3],[4]]=>[1,1,1,1,1,1]
[[1,4,5],[2,6],[3]]=>[[1,2,5,6],[3],[4]]=>[1,1,1,1,1,1]
[[1,4,6],[2,5],[3]]=>[[1,2,5],[3,6],[4]]=>[1,1,1,1,1,1]
[[1,4],[2,5],[3,6]]=>[[1,2,5],[3,6],[4]]=>[1,1,1,1,1,1]
[[1,4],[2,5],[3],[6]]=>[[1,2,5],[3,6],[4]]=>[1,1,1,1,1,1]
[[1,4,5],[2],[3],[6]]=>[[1,2,5,6],[3],[4]]=>[1,1,1,1,1,1]
[[1,4,6],[2],[3],[5]]=>[[1,2,5],[3],[4],[6]]=>[1,1,1,1,1,1]
[[1,4],[2],[3],[5],[6]]=>[[1,2,5],[3],[4],[6]]=>[1,1,1,1,1,1]
[[1,2,3],[4,5,6]]=>[[1,2,3,4,5,6]]=>[1,1,1,1,1,1]
[[1,2,6],[3,5],[4]]=>[[1,2,3,5],[4],[6]]=>[1,1,1,1,1,1]
[[1,2],[3,5],[4],[6]]=>[[1,2,3,5],[4],[6]]=>[1,1,1,1,1,1]
[[1,3,6],[2,5],[4]]=>[[1,2,4,5],[3],[6]]=>[1,1,1,1,1,1]
[[1,3],[2,5],[4,6]]=>[[1,2,4,5],[3,6]]=>[1,1,1,1,1,1]
[[1,3],[2,5],[4],[6]]=>[[1,2,4,5],[3],[6]]=>[1,1,1,1,1,1]
[[1,2],[3,5],[4,6]]=>[[1,2,3,5],[4,6]]=>[1,1,1,1,1,1]
[[1,5,6],[2],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[1,1,1,1,1,1]
[[1,5],[2,6],[3],[4]]=>[[1,2,6],[3],[4],[5]]=>[1,1,1,1,1,1]
[[1,5],[2],[3],[4],[6]]=>[[1,2,6],[3],[4],[5]]=>[1,1,1,1,1,1]
[[1,2],[3,6],[4],[5]]=>[[1,2,3,6],[4],[5]]=>[1,1,1,1,1,1]
[[1,3],[2,4],[5,6]]=>[[1,2,4,6],[3,5]]=>[1,1,1,1,1,1]
[[1,3],[2,6],[4],[5]]=>[[1,2,4,6],[3],[5]]=>[1,1,1,1,1,1]
[[1,2],[3,4],[5,6]]=>[[1,2,3,4],[5,6]]=>[1,1,1,1,1,1]
[[1,4],[2,6],[3],[5]]=>[[1,2,5,6],[3],[4]]=>[1,1,1,1,1,1]
[[1,6],[2],[3],[4],[5]]=>[[1,2],[3],[4],[5],[6]]=>[1,1,1,1,1,1]
[[1],[2],[3],[4],[5],[6]]=>[[1,2],[3],[4],[5],[6]]=>[1,1,1,1,1,1]
Map
catabolism
Description
Remove the first row of the semistandard tableau and insert it back using column Schensted insertion, starting with the largest number.
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater or equal to than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than or equal to $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
The algorithm for column-inserting an entry $k$ into tableau $T$ is as follows:
If $k$ is larger than all entries in the first column, place $k$ at the bottom of the first column and the procedure is finished. Otherwise, place $k$ in the first column, replacing the smallest entry, $y$, greater or equal to than $k$. Now insert $y$ into the second column using the same procedure: if $y$ is greater than all entries in the second column, place it at the bottom of that column (provided that the result is still a tableau). Otherwise, place $y$ in the second column, replacing, or 'bumping', the smallest entry, $z$, larger than or equal to $y$. Continue the procedure until we have placed a bumped entry at the bottom of a column (or on its own in a new column).
Map
weight
Description
The weight of a semistandard tableau as an integer partition.
The weight (or content) of a semistandard tableaux $T$ with maximal entry $m$ is the weak composition $(\alpha_1, \dots, \alpha_m)$ such that $\alpha_i$ is the number of letters $i$ occurring in $T$.
This map returns the integer partition obtained by sorting the weight into decreasing order and omitting zeros.
Since semistandard tableaux are bigraded by the size of the partition and the maximal occurring entry, this map is not graded.
The weight (or content) of a semistandard tableaux $T$ with maximal entry $m$ is the weak composition $(\alpha_1, \dots, \alpha_m)$ such that $\alpha_i$ is the number of letters $i$ occurring in $T$.
This map returns the integer partition obtained by sorting the weight into decreasing order and omitting zeros.
Since semistandard tableaux are bigraded by the size of the partition and the maximal occurring entry, this map is not graded.
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