Identifier
- St000737: Semistandard tableaux ⟶ ℤ
Values
=>
Cc0019;cc-rep
[[1]]=>1
[[2]]=>2
[[3]]=>3
[[4]]=>4
[[5]]=>5
[[6]]=>6
[[1,1]]=>1
[[1,2]]=>1
[[2,2]]=>2
[[1],[2]]=>1
[[1,3]]=>1
[[2,3]]=>2
[[3,3]]=>3
[[1],[3]]=>1
[[2],[3]]=>2
[[1,4]]=>1
[[2,4]]=>2
[[3,4]]=>3
[[4,4]]=>4
[[1],[4]]=>1
[[2],[4]]=>2
[[3],[4]]=>3
[[1,5]]=>1
[[2,5]]=>2
[[3,5]]=>3
[[4,5]]=>4
[[5,5]]=>5
[[1],[5]]=>1
[[2],[5]]=>2
[[3],[5]]=>3
[[4],[5]]=>4
[[1,6]]=>1
[[2,6]]=>2
[[3,6]]=>3
[[4,6]]=>4
[[5,6]]=>5
[[6,6]]=>6
[[1],[6]]=>1
[[2],[6]]=>2
[[3],[6]]=>3
[[4],[6]]=>4
[[5],[6]]=>5
[[1,1,1]]=>1
[[1,1,2]]=>1
[[1,2,2]]=>1
[[2,2,2]]=>2
[[1,1],[2]]=>1
[[1,2],[2]]=>1
[[1,1,3]]=>1
[[1,2,3]]=>1
[[1,3,3]]=>1
[[2,2,3]]=>2
[[2,3,3]]=>2
[[3,3,3]]=>3
[[1,1],[3]]=>1
[[1,2],[3]]=>1
[[1,3],[2]]=>1
[[1,3],[3]]=>1
[[2,2],[3]]=>2
[[2,3],[3]]=>2
[[1],[2],[3]]=>1
[[1,1,4]]=>1
[[1,2,4]]=>1
[[1,3,4]]=>1
[[1,4,4]]=>1
[[2,2,4]]=>2
[[2,3,4]]=>2
[[2,4,4]]=>2
[[3,3,4]]=>3
[[3,4,4]]=>3
[[4,4,4]]=>4
[[1,1],[4]]=>1
[[1,2],[4]]=>1
[[1,4],[2]]=>1
[[1,3],[4]]=>1
[[1,4],[3]]=>1
[[1,4],[4]]=>1
[[2,2],[4]]=>2
[[2,3],[4]]=>2
[[2,4],[3]]=>2
[[2,4],[4]]=>2
[[3,3],[4]]=>3
[[3,4],[4]]=>3
[[1],[2],[4]]=>1
[[1],[3],[4]]=>1
[[2],[3],[4]]=>2
[[1,1,5]]=>1
[[1,2,5]]=>1
[[1,3,5]]=>1
[[1,4,5]]=>1
[[1,5,5]]=>1
[[2,2,5]]=>2
[[2,3,5]]=>2
[[2,4,5]]=>2
[[2,5,5]]=>2
[[3,3,5]]=>3
[[3,4,5]]=>3
[[3,5,5]]=>3
[[4,4,5]]=>4
[[4,5,5]]=>4
[[5,5,5]]=>5
[[1,1],[5]]=>1
[[1,2],[5]]=>1
[[1,5],[2]]=>1
[[1,3],[5]]=>1
[[1,5],[3]]=>1
[[1,4],[5]]=>1
[[1,5],[4]]=>1
[[1,5],[5]]=>1
[[2,2],[5]]=>2
[[2,3],[5]]=>2
[[2,5],[3]]=>2
[[2,4],[5]]=>2
[[2,5],[4]]=>2
[[2,5],[5]]=>2
[[3,3],[5]]=>3
[[3,4],[5]]=>3
[[3,5],[4]]=>3
[[3,5],[5]]=>3
[[4,4],[5]]=>4
[[4,5],[5]]=>4
[[1],[2],[5]]=>1
[[1],[3],[5]]=>1
[[1],[4],[5]]=>1
[[2],[3],[5]]=>2
[[2],[4],[5]]=>2
[[3],[4],[5]]=>3
[[1,1,1,1]]=>1
[[1,1,1,2]]=>1
[[1,1,2,2]]=>1
[[1,2,2,2]]=>1
[[2,2,2,2]]=>2
[[1,1,1],[2]]=>1
[[1,1,2],[2]]=>1
[[1,2,2],[2]]=>1
[[1,1],[2,2]]=>2
[[1,1,1,3]]=>1
[[1,1,2,3]]=>1
[[1,1,3,3]]=>1
[[1,2,2,3]]=>1
[[1,2,3,3]]=>1
[[1,3,3,3]]=>1
[[2,2,2,3]]=>2
[[2,2,3,3]]=>2
[[2,3,3,3]]=>2
[[3,3,3,3]]=>3
[[1,1,1],[3]]=>1
[[1,1,2],[3]]=>1
[[1,1,3],[2]]=>1
[[1,1,3],[3]]=>1
[[1,2,2],[3]]=>1
[[1,2,3],[2]]=>1
[[1,2,3],[3]]=>1
[[1,3,3],[2]]=>1
[[1,3,3],[3]]=>1
[[2,2,2],[3]]=>2
[[2,2,3],[3]]=>2
[[2,3,3],[3]]=>2
[[1,1],[2,3]]=>3
[[1,1],[3,3]]=>3
[[1,2],[2,3]]=>3
[[1,2],[3,3]]=>3
[[2,2],[3,3]]=>3
[[1,1],[2],[3]]=>1
[[1,2],[2],[3]]=>1
[[1,3],[2],[3]]=>1
[[1,1,1,4]]=>1
[[1,1,2,4]]=>1
[[1,1,3,4]]=>1
[[1,1,4,4]]=>1
[[1,2,2,4]]=>1
[[1,2,3,4]]=>1
[[1,2,4,4]]=>1
[[1,3,3,4]]=>1
[[1,3,4,4]]=>1
[[1,4,4,4]]=>1
[[2,2,2,4]]=>2
[[2,2,3,4]]=>2
[[2,2,4,4]]=>2
[[2,3,3,4]]=>2
[[2,3,4,4]]=>2
[[2,4,4,4]]=>2
[[3,3,3,4]]=>3
[[3,3,4,4]]=>3
[[3,4,4,4]]=>3
[[4,4,4,4]]=>4
[[1,1,1],[4]]=>1
[[1,1,2],[4]]=>1
[[1,1,4],[2]]=>1
[[1,1,3],[4]]=>1
[[1,1,4],[3]]=>1
[[1,1,4],[4]]=>1
[[1,2,2],[4]]=>1
[[1,2,4],[2]]=>1
[[1,2,3],[4]]=>1
[[1,2,4],[3]]=>1
[[1,3,4],[2]]=>1
[[1,2,4],[4]]=>1
[[1,4,4],[2]]=>1
[[1,3,3],[4]]=>1
[[1,3,4],[3]]=>1
[[1,3,4],[4]]=>1
[[1,4,4],[3]]=>1
[[1,4,4],[4]]=>1
[[2,2,2],[4]]=>2
[[2,2,3],[4]]=>2
[[2,2,4],[3]]=>2
[[2,2,4],[4]]=>2
[[2,3,3],[4]]=>2
[[2,3,4],[3]]=>2
[[2,3,4],[4]]=>2
[[2,4,4],[3]]=>2
[[2,4,4],[4]]=>2
[[3,3,3],[4]]=>3
[[3,3,4],[4]]=>3
[[3,4,4],[4]]=>3
[[1,1],[2,4]]=>4
[[1,1],[3,4]]=>4
[[1,1],[4,4]]=>4
[[1,2],[2,4]]=>4
[[1,2],[3,4]]=>4
[[1,3],[2,4]]=>4
[[1,2],[4,4]]=>4
[[1,3],[3,4]]=>4
[[1,3],[4,4]]=>4
[[2,2],[3,4]]=>4
[[2,2],[4,4]]=>4
[[2,3],[3,4]]=>4
[[2,3],[4,4]]=>4
[[3,3],[4,4]]=>4
[[1,1],[2],[4]]=>1
[[1,1],[3],[4]]=>1
[[1,2],[2],[4]]=>1
[[1,2],[3],[4]]=>1
[[1,3],[2],[4]]=>1
[[1,4],[2],[3]]=>1
[[1,4],[2],[4]]=>1
[[1,3],[3],[4]]=>1
[[1,4],[3],[4]]=>1
[[2,2],[3],[4]]=>2
[[2,3],[3],[4]]=>2
[[2,4],[3],[4]]=>2
[[1],[2],[3],[4]]=>1
[[1,1,1,1,1]]=>1
[[1,1,1,1,2]]=>1
[[1,1,1,2,2]]=>1
[[1,1,2,2,2]]=>1
[[1,2,2,2,2]]=>1
[[2,2,2,2,2]]=>2
[[1,1,1,1],[2]]=>1
[[1,1,1,2],[2]]=>1
[[1,1,2,2],[2]]=>1
[[1,2,2,2],[2]]=>1
[[1,1,1],[2,2]]=>2
[[1,1,2],[2,2]]=>2
[[1,1,1,1,3]]=>1
[[1,1,1,2,3]]=>1
[[1,1,1,3,3]]=>1
[[1,1,2,2,3]]=>1
[[1,1,2,3,3]]=>1
[[1,1,3,3,3]]=>1
[[1,2,2,2,3]]=>1
[[1,2,2,3,3]]=>1
[[1,2,3,3,3]]=>1
[[1,3,3,3,3]]=>1
[[2,2,2,2,3]]=>2
[[2,2,2,3,3]]=>2
[[2,2,3,3,3]]=>2
[[2,3,3,3,3]]=>2
[[3,3,3,3,3]]=>3
[[1,1,1,1],[3]]=>1
[[1,1,1,2],[3]]=>1
[[1,1,1,3],[2]]=>1
[[1,1,1,3],[3]]=>1
[[1,1,2,2],[3]]=>1
[[1,1,2,3],[2]]=>1
[[1,1,2,3],[3]]=>1
[[1,1,3,3],[2]]=>1
[[1,1,3,3],[3]]=>1
[[1,2,2,2],[3]]=>1
[[1,2,2,3],[2]]=>1
[[1,2,2,3],[3]]=>1
[[1,2,3,3],[2]]=>1
[[1,2,3,3],[3]]=>1
[[1,3,3,3],[2]]=>1
[[1,3,3,3],[3]]=>1
[[2,2,2,2],[3]]=>2
[[2,2,2,3],[3]]=>2
[[2,2,3,3],[3]]=>2
[[2,3,3,3],[3]]=>2
[[1,1,1],[2,3]]=>3
[[1,1,1],[3,3]]=>3
[[1,1,2],[2,3]]=>3
[[1,1,3],[2,2]]=>2
[[1,1,2],[3,3]]=>3
[[1,1,3],[2,3]]=>3
[[1,1,3],[3,3]]=>3
[[1,2,2],[2,3]]=>3
[[1,2,2],[3,3]]=>3
[[1,2,3],[2,3]]=>3
[[1,2,3],[3,3]]=>3
[[2,2,2],[3,3]]=>3
[[2,2,3],[3,3]]=>3
[[1,1,1],[2],[3]]=>1
[[1,1,2],[2],[3]]=>1
[[1,1,3],[2],[3]]=>1
[[1,2,2],[2],[3]]=>1
[[1,2,3],[2],[3]]=>1
[[1,3,3],[2],[3]]=>1
[[1,1],[2,2],[3]]=>2
[[1,1],[2,3],[3]]=>3
[[1,2],[2,3],[3]]=>3
[[1,1,1,1,4]]=>1
[[1,1,1,2,4]]=>1
[[1,1,1,3,4]]=>1
[[1,1,1,4,4]]=>1
[[1,1,2,2,4]]=>1
[[1,1,2,3,4]]=>1
[[1,1,2,4,4]]=>1
[[1,1,3,3,4]]=>1
[[1,1,3,4,4]]=>1
[[1,1,4,4,4]]=>1
[[1,2,2,2,4]]=>1
[[1,2,2,3,4]]=>1
[[1,2,2,4,4]]=>1
[[1,2,3,3,4]]=>1
[[1,2,3,4,4]]=>1
[[1,2,4,4,4]]=>1
[[1,3,3,3,4]]=>1
[[1,3,3,4,4]]=>1
[[1,3,4,4,4]]=>1
[[1,4,4,4,4]]=>1
[[2,2,2,2,4]]=>2
[[2,2,2,3,4]]=>2
[[2,2,2,4,4]]=>2
[[2,2,3,3,4]]=>2
[[2,2,3,4,4]]=>2
[[2,2,4,4,4]]=>2
[[2,3,3,3,4]]=>2
[[2,3,3,4,4]]=>2
[[2,3,4,4,4]]=>2
[[2,4,4,4,4]]=>2
[[3,3,3,3,4]]=>3
[[3,3,3,4,4]]=>3
[[3,3,4,4,4]]=>3
[[3,4,4,4,4]]=>3
[[4,4,4,4,4]]=>4
[[1,1,1,1],[4]]=>1
[[1,1,1,2],[4]]=>1
[[1,1,1,4],[2]]=>1
[[1,1,1,3],[4]]=>1
[[1,1,1,4],[3]]=>1
[[1,1,1,4],[4]]=>1
[[1,1,2,2],[4]]=>1
[[1,1,2,4],[2]]=>1
[[1,1,2,3],[4]]=>1
[[1,1,2,4],[3]]=>1
[[1,1,3,4],[2]]=>1
[[1,1,2,4],[4]]=>1
[[1,1,4,4],[2]]=>1
[[1,1,3,3],[4]]=>1
[[1,1,3,4],[3]]=>1
[[1,1,3,4],[4]]=>1
[[1,1,4,4],[3]]=>1
[[1,1,4,4],[4]]=>1
[[1,2,2,2],[4]]=>1
[[1,2,2,4],[2]]=>1
[[1,2,2,3],[4]]=>1
[[1,2,2,4],[3]]=>1
[[1,2,3,4],[2]]=>1
[[1,2,2,4],[4]]=>1
[[1,2,4,4],[2]]=>1
[[1,2,3,3],[4]]=>1
[[1,2,3,4],[3]]=>1
[[1,3,3,4],[2]]=>1
[[1,2,3,4],[4]]=>1
[[1,2,4,4],[3]]=>1
[[1,3,4,4],[2]]=>1
[[1,2,4,4],[4]]=>1
[[1,4,4,4],[2]]=>1
[[1,3,3,3],[4]]=>1
[[1,3,3,4],[3]]=>1
[[1,3,3,4],[4]]=>1
[[1,3,4,4],[3]]=>1
[[1,3,4,4],[4]]=>1
[[1,4,4,4],[3]]=>1
[[1,4,4,4],[4]]=>1
[[2,2,2,2],[4]]=>2
[[2,2,2,3],[4]]=>2
[[2,2,2,4],[3]]=>2
[[2,2,2,4],[4]]=>2
[[2,2,3,3],[4]]=>2
[[2,2,3,4],[3]]=>2
[[2,2,3,4],[4]]=>2
[[2,2,4,4],[3]]=>2
[[2,2,4,4],[4]]=>2
[[2,3,3,3],[4]]=>2
[[2,3,3,4],[3]]=>2
[[2,3,3,4],[4]]=>2
[[2,3,4,4],[3]]=>2
[[2,3,4,4],[4]]=>2
[[2,4,4,4],[3]]=>2
[[2,4,4,4],[4]]=>2
[[3,3,3,3],[4]]=>3
[[3,3,3,4],[4]]=>3
[[3,3,4,4],[4]]=>3
[[3,4,4,4],[4]]=>3
[[1,1,1],[2,4]]=>4
[[1,1,1],[3,4]]=>4
[[1,1,1],[4,4]]=>4
[[1,1,2],[2,4]]=>4
[[1,1,4],[2,2]]=>2
[[1,1,2],[3,4]]=>4
[[1,1,3],[2,4]]=>4
[[1,1,4],[2,3]]=>3
[[1,1,2],[4,4]]=>4
[[1,1,4],[2,4]]=>4
[[1,1,3],[3,4]]=>4
[[1,1,4],[3,3]]=>3
[[1,1,3],[4,4]]=>4
[[1,1,4],[3,4]]=>4
[[1,1,4],[4,4]]=>4
[[1,2,2],[2,4]]=>4
[[1,2,2],[3,4]]=>4
[[1,2,3],[2,4]]=>4
[[1,2,4],[2,3]]=>3
[[1,2,2],[4,4]]=>4
[[1,2,4],[2,4]]=>4
[[1,2,3],[3,4]]=>4
[[1,2,4],[3,3]]=>3
[[1,3,3],[2,4]]=>4
[[1,2,3],[4,4]]=>4
[[1,2,4],[3,4]]=>4
[[1,3,4],[2,4]]=>4
[[1,2,4],[4,4]]=>4
[[1,3,3],[3,4]]=>4
[[1,3,3],[4,4]]=>4
[[1,3,4],[3,4]]=>4
[[1,3,4],[4,4]]=>4
[[2,2,2],[3,4]]=>4
[[2,2,2],[4,4]]=>4
[[2,2,3],[3,4]]=>4
[[2,2,4],[3,3]]=>3
[[2,2,3],[4,4]]=>4
[[2,2,4],[3,4]]=>4
[[2,2,4],[4,4]]=>4
[[2,3,3],[3,4]]=>4
[[2,3,3],[4,4]]=>4
[[2,3,4],[3,4]]=>4
[[2,3,4],[4,4]]=>4
[[3,3,3],[4,4]]=>4
[[3,3,4],[4,4]]=>4
[[1,1,1],[2],[4]]=>1
[[1,1,1],[3],[4]]=>1
[[1,1,2],[2],[4]]=>1
[[1,1,2],[3],[4]]=>1
[[1,1,3],[2],[4]]=>1
[[1,1,4],[2],[3]]=>1
[[1,1,4],[2],[4]]=>1
[[1,1,3],[3],[4]]=>1
[[1,1,4],[3],[4]]=>1
[[1,2,2],[2],[4]]=>1
[[1,2,2],[3],[4]]=>1
[[1,2,3],[2],[4]]=>1
[[1,2,4],[2],[3]]=>1
[[1,2,4],[2],[4]]=>1
[[1,2,3],[3],[4]]=>1
[[1,3,3],[2],[4]]=>1
[[1,3,4],[2],[3]]=>1
[[1,2,4],[3],[4]]=>1
[[1,3,4],[2],[4]]=>1
[[1,4,4],[2],[3]]=>1
[[1,4,4],[2],[4]]=>1
[[1,3,3],[3],[4]]=>1
[[1,3,4],[3],[4]]=>1
[[1,4,4],[3],[4]]=>1
[[2,2,2],[3],[4]]=>2
[[2,2,3],[3],[4]]=>2
[[2,2,4],[3],[4]]=>2
[[2,3,3],[3],[4]]=>2
[[2,3,4],[3],[4]]=>2
[[2,4,4],[3],[4]]=>2
[[1,1],[2,2],[4]]=>2
[[1,1],[2,3],[4]]=>3
[[1,1],[2,4],[3]]=>4
[[1,1],[2,4],[4]]=>4
[[1,1],[3,3],[4]]=>3
[[1,1],[3,4],[4]]=>4
[[1,2],[2,3],[4]]=>3
[[1,2],[2,4],[3]]=>4
[[1,2],[2,4],[4]]=>4
[[1,2],[3,3],[4]]=>3
[[1,3],[2,4],[3]]=>4
[[1,2],[3,4],[4]]=>4
[[1,3],[2,4],[4]]=>4
[[1,3],[3,4],[4]]=>4
[[2,2],[3,3],[4]]=>3
[[2,2],[3,4],[4]]=>4
[[2,3],[3,4],[4]]=>4
[[1,1],[2],[3],[4]]=>1
[[1,2],[2],[3],[4]]=>1
[[1,3],[2],[3],[4]]=>1
[[1,4],[2],[3],[4]]=>1
[[1,1,1,1,5]]=>1
[[1,1,1,2,5]]=>1
[[1,1,1,3,5]]=>1
[[1,1,1,4,5]]=>1
[[1,1,1,5,5]]=>1
[[1,1,2,2,5]]=>1
[[1,1,2,3,5]]=>1
[[1,1,2,4,5]]=>1
[[1,1,2,5,5]]=>1
[[1,1,3,3,5]]=>1
[[1,1,3,4,5]]=>1
[[1,1,3,5,5]]=>1
[[1,1,4,4,5]]=>1
[[1,1,4,5,5]]=>1
[[1,1,5,5,5]]=>1
[[1,2,2,2,5]]=>1
[[1,2,2,3,5]]=>1
[[1,2,2,4,5]]=>1
[[1,2,2,5,5]]=>1
[[1,2,3,3,5]]=>1
[[1,2,3,4,5]]=>1
[[1,2,3,5,5]]=>1
[[1,2,4,4,5]]=>1
[[1,2,4,5,5]]=>1
[[1,2,5,5,5]]=>1
[[1,3,3,3,5]]=>1
[[1,3,3,4,5]]=>1
[[1,3,3,5,5]]=>1
[[1,3,4,4,5]]=>1
[[1,3,4,5,5]]=>1
[[1,3,5,5,5]]=>1
[[1,4,4,4,5]]=>1
[[1,4,4,5,5]]=>1
[[1,4,5,5,5]]=>1
[[1,5,5,5,5]]=>1
[[2,2,2,2,5]]=>2
[[2,2,2,3,5]]=>2
[[2,2,2,4,5]]=>2
[[2,2,2,5,5]]=>2
[[2,2,3,3,5]]=>2
[[2,2,3,4,5]]=>2
[[2,2,3,5,5]]=>2
[[2,2,4,4,5]]=>2
[[2,2,4,5,5]]=>2
[[2,2,5,5,5]]=>2
[[2,3,3,3,5]]=>2
[[2,3,3,4,5]]=>2
[[2,3,3,5,5]]=>2
[[2,3,4,4,5]]=>2
[[2,3,4,5,5]]=>2
[[2,3,5,5,5]]=>2
[[2,4,4,4,5]]=>2
[[2,4,4,5,5]]=>2
[[2,4,5,5,5]]=>2
[[2,5,5,5,5]]=>2
[[3,3,3,3,5]]=>3
[[3,3,3,4,5]]=>3
[[3,3,3,5,5]]=>3
[[3,3,4,4,5]]=>3
[[3,3,4,5,5]]=>3
[[3,3,5,5,5]]=>3
[[3,4,4,4,5]]=>3
[[3,4,4,5,5]]=>3
[[3,4,5,5,5]]=>3
[[3,5,5,5,5]]=>3
[[4,4,4,4,5]]=>4
[[4,4,4,5,5]]=>4
[[4,4,5,5,5]]=>4
[[4,5,5,5,5]]=>4
[[5,5,5,5,5]]=>5
[[1,1,1,1],[5]]=>1
[[1,1,1,2],[5]]=>1
[[1,1,1,5],[2]]=>1
[[1,1,1,3],[5]]=>1
[[1,1,1,5],[3]]=>1
[[1,1,1,4],[5]]=>1
[[1,1,1,5],[4]]=>1
[[1,1,1,5],[5]]=>1
[[1,1,2,2],[5]]=>1
[[1,1,2,5],[2]]=>1
[[1,1,2,3],[5]]=>1
[[1,1,2,5],[3]]=>1
[[1,1,3,5],[2]]=>1
[[1,1,2,4],[5]]=>1
[[1,1,2,5],[4]]=>1
[[1,1,4,5],[2]]=>1
[[1,1,2,5],[5]]=>1
[[1,1,5,5],[2]]=>1
[[1,1,3,3],[5]]=>1
[[1,1,3,5],[3]]=>1
[[1,1,3,4],[5]]=>1
[[1,1,3,5],[4]]=>1
[[1,1,4,5],[3]]=>1
[[1,1,3,5],[5]]=>1
[[1,1,5,5],[3]]=>1
[[1,1,4,4],[5]]=>1
[[1,1,4,5],[4]]=>1
[[1,1,4,5],[5]]=>1
[[1,1,5,5],[4]]=>1
[[1,1,5,5],[5]]=>1
[[1,2,2,2],[5]]=>1
[[1,2,2,5],[2]]=>1
[[1,2,2,3],[5]]=>1
[[1,2,2,5],[3]]=>1
[[1,2,3,5],[2]]=>1
[[1,2,2,4],[5]]=>1
[[1,2,2,5],[4]]=>1
[[1,2,4,5],[2]]=>1
[[1,2,2,5],[5]]=>1
[[1,2,5,5],[2]]=>1
[[1,2,3,3],[5]]=>1
[[1,2,3,5],[3]]=>1
[[1,3,3,5],[2]]=>1
[[1,2,3,4],[5]]=>1
[[1,2,3,5],[4]]=>1
[[1,2,4,5],[3]]=>1
[[1,3,4,5],[2]]=>1
[[1,2,3,5],[5]]=>1
[[1,2,5,5],[3]]=>1
[[1,3,5,5],[2]]=>1
[[1,2,4,4],[5]]=>1
[[1,2,4,5],[4]]=>1
[[1,4,4,5],[2]]=>1
[[1,2,4,5],[5]]=>1
[[1,2,5,5],[4]]=>1
[[1,4,5,5],[2]]=>1
[[1,2,5,5],[5]]=>1
[[1,5,5,5],[2]]=>1
[[1,3,3,3],[5]]=>1
[[1,3,3,5],[3]]=>1
[[1,3,3,4],[5]]=>1
[[1,3,3,5],[4]]=>1
[[1,3,4,5],[3]]=>1
[[1,3,3,5],[5]]=>1
[[1,3,5,5],[3]]=>1
[[1,3,4,4],[5]]=>1
[[1,3,4,5],[4]]=>1
[[1,4,4,5],[3]]=>1
[[1,3,4,5],[5]]=>1
[[1,3,5,5],[4]]=>1
[[1,4,5,5],[3]]=>1
[[1,3,5,5],[5]]=>1
[[1,5,5,5],[3]]=>1
[[1,4,4,4],[5]]=>1
[[1,4,4,5],[4]]=>1
[[1,4,4,5],[5]]=>1
[[1,4,5,5],[4]]=>1
[[1,4,5,5],[5]]=>1
[[1,5,5,5],[4]]=>1
[[1,5,5,5],[5]]=>1
[[2,2,2,2],[5]]=>2
[[2,2,2,3],[5]]=>2
[[2,2,2,5],[3]]=>2
[[2,2,2,4],[5]]=>2
[[2,2,2,5],[4]]=>2
[[2,2,2,5],[5]]=>2
[[2,2,3,3],[5]]=>2
[[2,2,3,5],[3]]=>2
[[2,2,3,4],[5]]=>2
[[2,2,3,5],[4]]=>2
[[2,2,4,5],[3]]=>2
[[2,2,3,5],[5]]=>2
[[2,2,5,5],[3]]=>2
[[2,2,4,4],[5]]=>2
[[2,2,4,5],[4]]=>2
[[2,2,4,5],[5]]=>2
[[2,2,5,5],[4]]=>2
[[2,2,5,5],[5]]=>2
[[2,3,3,3],[5]]=>2
[[2,3,3,5],[3]]=>2
[[2,3,3,4],[5]]=>2
[[2,3,3,5],[4]]=>2
[[2,3,4,5],[3]]=>2
[[2,3,3,5],[5]]=>2
[[2,3,5,5],[3]]=>2
[[2,3,4,4],[5]]=>2
[[2,3,4,5],[4]]=>2
[[2,4,4,5],[3]]=>2
[[2,3,4,5],[5]]=>2
[[2,3,5,5],[4]]=>2
[[2,4,5,5],[3]]=>2
[[2,3,5,5],[5]]=>2
[[2,5,5,5],[3]]=>2
[[2,4,4,4],[5]]=>2
[[2,4,4,5],[4]]=>2
[[2,4,4,5],[5]]=>2
[[2,4,5,5],[4]]=>2
[[2,4,5,5],[5]]=>2
[[2,5,5,5],[4]]=>2
[[2,5,5,5],[5]]=>2
[[3,3,3,3],[5]]=>3
[[3,3,3,4],[5]]=>3
[[3,3,3,5],[4]]=>3
[[3,3,3,5],[5]]=>3
[[3,3,4,4],[5]]=>3
[[3,3,4,5],[4]]=>3
[[3,3,4,5],[5]]=>3
[[3,3,5,5],[4]]=>3
[[3,3,5,5],[5]]=>3
[[3,4,4,4],[5]]=>3
[[3,4,4,5],[4]]=>3
[[3,4,4,5],[5]]=>3
[[3,4,5,5],[4]]=>3
[[3,4,5,5],[5]]=>3
[[3,5,5,5],[4]]=>3
[[3,5,5,5],[5]]=>3
[[4,4,4,4],[5]]=>4
[[4,4,4,5],[5]]=>4
[[4,4,5,5],[5]]=>4
[[4,5,5,5],[5]]=>4
[[1,1,1],[2,5]]=>5
[[1,1,1],[3,5]]=>5
[[1,1,1],[4,5]]=>5
[[1,1,1],[5,5]]=>5
[[1,1,2],[2,5]]=>5
[[1,1,5],[2,2]]=>2
[[1,1,2],[3,5]]=>5
[[1,1,3],[2,5]]=>5
[[1,1,5],[2,3]]=>3
[[1,1,2],[4,5]]=>5
[[1,1,4],[2,5]]=>5
[[1,1,5],[2,4]]=>4
[[1,1,2],[5,5]]=>5
[[1,1,5],[2,5]]=>5
[[1,1,3],[3,5]]=>5
[[1,1,5],[3,3]]=>3
[[1,1,3],[4,5]]=>5
[[1,1,4],[3,5]]=>5
[[1,1,5],[3,4]]=>4
[[1,1,3],[5,5]]=>5
[[1,1,5],[3,5]]=>5
[[1,1,4],[4,5]]=>5
[[1,1,5],[4,4]]=>4
[[1,1,4],[5,5]]=>5
[[1,1,5],[4,5]]=>5
[[1,1,5],[5,5]]=>5
[[1,2,2],[2,5]]=>5
[[1,2,2],[3,5]]=>5
[[1,2,3],[2,5]]=>5
[[1,2,5],[2,3]]=>3
[[1,2,2],[4,5]]=>5
[[1,2,4],[2,5]]=>5
[[1,2,5],[2,4]]=>4
[[1,2,2],[5,5]]=>5
[[1,2,5],[2,5]]=>5
[[1,2,3],[3,5]]=>5
[[1,2,5],[3,3]]=>3
[[1,3,3],[2,5]]=>5
[[1,2,3],[4,5]]=>5
[[1,2,4],[3,5]]=>5
[[1,2,5],[3,4]]=>4
[[1,3,4],[2,5]]=>5
[[1,3,5],[2,4]]=>4
[[1,2,3],[5,5]]=>5
[[1,2,5],[3,5]]=>5
[[1,3,5],[2,5]]=>5
[[1,2,4],[4,5]]=>5
[[1,2,5],[4,4]]=>4
[[1,4,4],[2,5]]=>5
[[1,2,4],[5,5]]=>5
[[1,2,5],[4,5]]=>5
[[1,4,5],[2,5]]=>5
[[1,2,5],[5,5]]=>5
[[1,3,3],[3,5]]=>5
[[1,3,3],[4,5]]=>5
[[1,3,4],[3,5]]=>5
[[1,3,5],[3,4]]=>4
[[1,3,3],[5,5]]=>5
[[1,3,5],[3,5]]=>5
[[1,3,4],[4,5]]=>5
[[1,3,5],[4,4]]=>4
[[1,4,4],[3,5]]=>5
[[1,3,4],[5,5]]=>5
[[1,3,5],[4,5]]=>5
[[1,4,5],[3,5]]=>5
[[1,3,5],[5,5]]=>5
[[1,4,4],[4,5]]=>5
[[1,4,4],[5,5]]=>5
[[1,4,5],[4,5]]=>5
[[1,4,5],[5,5]]=>5
[[2,2,2],[3,5]]=>5
[[2,2,2],[4,5]]=>5
[[2,2,2],[5,5]]=>5
[[2,2,3],[3,5]]=>5
[[2,2,5],[3,3]]=>3
[[2,2,3],[4,5]]=>5
[[2,2,4],[3,5]]=>5
[[2,2,5],[3,4]]=>4
[[2,2,3],[5,5]]=>5
[[2,2,5],[3,5]]=>5
[[2,2,4],[4,5]]=>5
[[2,2,5],[4,4]]=>4
[[2,2,4],[5,5]]=>5
[[2,2,5],[4,5]]=>5
[[2,2,5],[5,5]]=>5
[[2,3,3],[3,5]]=>5
[[2,3,3],[4,5]]=>5
[[2,3,4],[3,5]]=>5
[[2,3,5],[3,4]]=>4
[[2,3,3],[5,5]]=>5
[[2,3,5],[3,5]]=>5
[[2,3,4],[4,5]]=>5
[[2,3,5],[4,4]]=>4
[[2,4,4],[3,5]]=>5
[[2,3,4],[5,5]]=>5
[[2,3,5],[4,5]]=>5
[[2,4,5],[3,5]]=>5
[[2,3,5],[5,5]]=>5
[[2,4,4],[4,5]]=>5
[[2,4,4],[5,5]]=>5
[[2,4,5],[4,5]]=>5
[[2,4,5],[5,5]]=>5
[[3,3,3],[4,5]]=>5
[[3,3,3],[5,5]]=>5
[[3,3,4],[4,5]]=>5
[[3,3,5],[4,4]]=>4
[[3,3,4],[5,5]]=>5
[[3,3,5],[4,5]]=>5
[[3,3,5],[5,5]]=>5
[[3,4,4],[4,5]]=>5
[[3,4,4],[5,5]]=>5
[[3,4,5],[4,5]]=>5
[[3,4,5],[5,5]]=>5
[[4,4,4],[5,5]]=>5
[[4,4,5],[5,5]]=>5
[[1,1,1],[2],[5]]=>1
[[1,1,1],[3],[5]]=>1
[[1,1,1],[4],[5]]=>1
[[1,1,2],[2],[5]]=>1
[[1,1,2],[3],[5]]=>1
[[1,1,3],[2],[5]]=>1
[[1,1,5],[2],[3]]=>1
[[1,1,2],[4],[5]]=>1
[[1,1,4],[2],[5]]=>1
[[1,1,5],[2],[4]]=>1
[[1,1,5],[2],[5]]=>1
[[1,1,3],[3],[5]]=>1
[[1,1,3],[4],[5]]=>1
[[1,1,4],[3],[5]]=>1
[[1,1,5],[3],[4]]=>1
[[1,1,5],[3],[5]]=>1
[[1,1,4],[4],[5]]=>1
[[1,1,5],[4],[5]]=>1
[[1,2,2],[2],[5]]=>1
[[1,2,2],[3],[5]]=>1
[[1,2,3],[2],[5]]=>1
[[1,2,5],[2],[3]]=>1
[[1,2,2],[4],[5]]=>1
[[1,2,4],[2],[5]]=>1
[[1,2,5],[2],[4]]=>1
[[1,2,5],[2],[5]]=>1
[[1,2,3],[3],[5]]=>1
[[1,3,3],[2],[5]]=>1
[[1,3,5],[2],[3]]=>1
[[1,2,3],[4],[5]]=>1
[[1,2,4],[3],[5]]=>1
[[1,2,5],[3],[4]]=>1
[[1,3,4],[2],[5]]=>1
[[1,3,5],[2],[4]]=>1
[[1,4,5],[2],[3]]=>1
[[1,2,5],[3],[5]]=>1
[[1,3,5],[2],[5]]=>1
[[1,5,5],[2],[3]]=>1
[[1,2,4],[4],[5]]=>1
[[1,4,4],[2],[5]]=>1
[[1,4,5],[2],[4]]=>1
[[1,2,5],[4],[5]]=>1
[[1,4,5],[2],[5]]=>1
[[1,5,5],[2],[4]]=>1
[[1,5,5],[2],[5]]=>1
[[1,3,3],[3],[5]]=>1
[[1,3,3],[4],[5]]=>1
[[1,3,4],[3],[5]]=>1
[[1,3,5],[3],[4]]=>1
[[1,3,5],[3],[5]]=>1
[[1,3,4],[4],[5]]=>1
[[1,4,4],[3],[5]]=>1
[[1,4,5],[3],[4]]=>1
[[1,3,5],[4],[5]]=>1
[[1,4,5],[3],[5]]=>1
[[1,5,5],[3],[4]]=>1
[[1,5,5],[3],[5]]=>1
[[1,4,4],[4],[5]]=>1
[[1,4,5],[4],[5]]=>1
[[1,5,5],[4],[5]]=>1
[[2,2,2],[3],[5]]=>2
[[2,2,2],[4],[5]]=>2
[[2,2,3],[3],[5]]=>2
[[2,2,3],[4],[5]]=>2
[[2,2,4],[3],[5]]=>2
[[2,2,5],[3],[4]]=>2
[[2,2,5],[3],[5]]=>2
[[2,2,4],[4],[5]]=>2
[[2,2,5],[4],[5]]=>2
[[2,3,3],[3],[5]]=>2
[[2,3,3],[4],[5]]=>2
[[2,3,4],[3],[5]]=>2
[[2,3,5],[3],[4]]=>2
[[2,3,5],[3],[5]]=>2
[[2,3,4],[4],[5]]=>2
[[2,4,4],[3],[5]]=>2
[[2,4,5],[3],[4]]=>2
[[2,3,5],[4],[5]]=>2
[[2,4,5],[3],[5]]=>2
[[2,5,5],[3],[4]]=>2
[[2,5,5],[3],[5]]=>2
[[2,4,4],[4],[5]]=>2
[[2,4,5],[4],[5]]=>2
[[2,5,5],[4],[5]]=>2
[[3,3,3],[4],[5]]=>3
[[3,3,4],[4],[5]]=>3
[[3,3,5],[4],[5]]=>3
[[3,4,4],[4],[5]]=>3
[[3,4,5],[4],[5]]=>3
[[3,5,5],[4],[5]]=>3
[[1,1],[2,2],[5]]=>2
[[1,1],[2,3],[5]]=>3
[[1,1],[2,5],[3]]=>5
[[1,1],[2,4],[5]]=>4
[[1,1],[2,5],[4]]=>5
[[1,1],[2,5],[5]]=>5
[[1,1],[3,3],[5]]=>3
[[1,1],[3,4],[5]]=>4
[[1,1],[3,5],[4]]=>5
[[1,1],[3,5],[5]]=>5
[[1,1],[4,4],[5]]=>4
[[1,1],[4,5],[5]]=>5
[[1,2],[2,3],[5]]=>3
[[1,2],[2,5],[3]]=>5
[[1,2],[2,4],[5]]=>4
[[1,2],[2,5],[4]]=>5
[[1,2],[2,5],[5]]=>5
[[1,2],[3,3],[5]]=>3
[[1,3],[2,5],[3]]=>5
[[1,2],[3,4],[5]]=>4
[[1,2],[3,5],[4]]=>5
[[1,3],[2,4],[5]]=>4
[[1,3],[2,5],[4]]=>5
[[1,4],[2,5],[3]]=>5
[[1,2],[3,5],[5]]=>5
[[1,3],[2,5],[5]]=>5
[[1,2],[4,4],[5]]=>4
[[1,4],[2,5],[4]]=>5
[[1,2],[4,5],[5]]=>5
[[1,4],[2,5],[5]]=>5
[[1,3],[3,4],[5]]=>4
[[1,3],[3,5],[4]]=>5
[[1,3],[3,5],[5]]=>5
[[1,3],[4,4],[5]]=>4
[[1,4],[3,5],[4]]=>5
[[1,3],[4,5],[5]]=>5
[[1,4],[3,5],[5]]=>5
[[1,4],[4,5],[5]]=>5
[[2,2],[3,3],[5]]=>3
[[2,2],[3,4],[5]]=>4
[[2,2],[3,5],[4]]=>5
[[2,2],[3,5],[5]]=>5
[[2,2],[4,4],[5]]=>4
[[2,2],[4,5],[5]]=>5
[[2,3],[3,4],[5]]=>4
[[2,3],[3,5],[4]]=>5
[[2,3],[3,5],[5]]=>5
[[2,3],[4,4],[5]]=>4
[[2,4],[3,5],[4]]=>5
[[2,3],[4,5],[5]]=>5
[[2,4],[3,5],[5]]=>5
[[2,4],[4,5],[5]]=>5
[[3,3],[4,4],[5]]=>4
[[3,3],[4,5],[5]]=>5
[[3,4],[4,5],[5]]=>5
[[1,1],[2],[3],[5]]=>1
[[1,1],[2],[4],[5]]=>1
[[1,1],[3],[4],[5]]=>1
[[1,2],[2],[3],[5]]=>1
[[1,2],[2],[4],[5]]=>1
[[1,3],[2],[3],[5]]=>1
[[1,2],[3],[4],[5]]=>1
[[1,3],[2],[4],[5]]=>1
[[1,4],[2],[3],[5]]=>1
[[1,5],[2],[3],[4]]=>1
[[1,5],[2],[3],[5]]=>1
[[1,4],[2],[4],[5]]=>1
[[1,5],[2],[4],[5]]=>1
[[1,3],[3],[4],[5]]=>1
[[1,4],[3],[4],[5]]=>1
[[1,5],[3],[4],[5]]=>1
[[2,2],[3],[4],[5]]=>2
[[2,3],[3],[4],[5]]=>2
[[2,4],[3],[4],[5]]=>2
[[2,5],[3],[4],[5]]=>2
[[1],[2],[3],[4],[5]]=>1
[[1,1,1,1,1,1]]=>1
[[1,1,1,1,1,2]]=>1
[[1,1,1,1,2,2]]=>1
[[1,1,1,2,2,2]]=>1
[[1,1,2,2,2,2]]=>1
[[1,2,2,2,2,2]]=>1
[[2,2,2,2,2,2]]=>2
[[1,1,1,1,1],[2]]=>1
[[1,1,1,1,2],[2]]=>1
[[1,1,1,2,2],[2]]=>1
[[1,1,2,2,2],[2]]=>1
[[1,2,2,2,2],[2]]=>1
[[1,1,1,1],[2,2]]=>2
[[1,1,1,2],[2,2]]=>2
[[1,1,2,2],[2,2]]=>2
[[1,1,1],[2,2,2]]=>2
[[1,1,1,1,1,3]]=>1
[[1,1,1,1,2,3]]=>1
[[1,1,1,1,3,3]]=>1
[[1,1,1,2,2,3]]=>1
[[1,1,1,2,3,3]]=>1
[[1,1,1,3,3,3]]=>1
[[1,1,2,2,2,3]]=>1
[[1,1,2,2,3,3]]=>1
[[1,1,2,3,3,3]]=>1
[[1,1,3,3,3,3]]=>1
[[1,2,2,2,2,3]]=>1
[[1,2,2,2,3,3]]=>1
[[1,2,2,3,3,3]]=>1
[[1,2,3,3,3,3]]=>1
[[1,3,3,3,3,3]]=>1
[[2,2,2,2,2,3]]=>2
[[2,2,2,2,3,3]]=>2
[[2,2,2,3,3,3]]=>2
[[2,2,3,3,3,3]]=>2
[[1,1,1,2,2],[3]]=>1
[[1,1,1,2,3],[3]]=>1
[[1,1,2,2,2],[3]]=>1
[[1,1,2,2,3],[3]]=>1
[[1,1,2,3,3],[3]]=>1
[[1,2,2,2,3],[3]]=>1
[[1,2,2,3,3],[3]]=>1
[[1,1,1],[2,2],[3]]=>2
[[1,1,1],[2,3],[3]]=>3
[[1,1,2],[2,2],[3]]=>2
[[1,1,2],[2,3],[3]]=>3
[[1,1,3],[2,3],[3]]=>3
[[1,2,2],[2,3],[3]]=>3
[[1,2,3],[2,3],[3]]=>3
[[1,1,1,1,1,4]]=>1
[[1,1,1,1,2,4]]=>1
[[1,1,1,1,3,4]]=>1
[[1,1,1,1,4,4]]=>1
[[1,1,1,2,2,4]]=>1
[[1,1,1,2,3,4]]=>1
[[1,1,1,2,4,4]]=>1
[[1,1,1,3,3,4]]=>1
[[1,1,1,3,4,4]]=>1
[[1,1,1,4,4,4]]=>1
[[1,1,2,2,2,4]]=>1
[[1,1,2,2,3,4]]=>1
[[1,1,2,2,4,4]]=>1
[[1,1,2,3,3,4]]=>1
[[1,1,2,3,4,4]]=>1
[[1,1,2,4,4,4]]=>1
[[1,1,3,3,3,4]]=>1
[[1,1,3,3,4,4]]=>1
[[1,1,3,4,4,4]]=>1
[[1,1,4,4,4,4]]=>1
[[1,2,2,2,2,4]]=>1
[[1,2,2,2,3,4]]=>1
[[1,2,2,2,4,4]]=>1
[[1,2,2,3,3,4]]=>1
[[1,2,2,3,4,4]]=>1
[[1,2,2,4,4,4]]=>1
[[1,2,3,3,3,4]]=>1
[[1,2,3,3,4,4]]=>1
[[1,2,3,4,4,4]]=>1
[[1,2,4,4,4,4]]=>1
[[1,3,3,3,3,4]]=>1
[[1,3,3,3,4,4]]=>1
[[1,3,3,4,4,4]]=>1
[[1,3,4,4,4,4]]=>1
[[1,4,4,4,4,4]]=>1
[[2,2,2,2,2,4]]=>2
[[2,2,2,2,3,4]]=>2
[[2,2,2,2,4,4]]=>2
[[2,2,2,3,3,4]]=>2
[[2,2,2,3,4,4]]=>2
[[2,2,2,4,4,4]]=>2
[[2,2,3,3,3,4]]=>2
[[2,2,3,3,4,4]]=>2
[[2,2,3,4,4,4]]=>2
[[2,2,4,4,4,4]]=>2
[[1,1,1,1,1,5]]=>1
[[1,1,1,1,2,5]]=>1
[[1,1,1,1,3,5]]=>1
[[1,1,1,1,4,5]]=>1
[[1,1,1,1,5,5]]=>1
[[1,1,1,2,2,5]]=>1
[[1,1,1,2,3,5]]=>1
[[1,1,1,2,4,5]]=>1
[[1,1,1,2,5,5]]=>1
[[1,1,1,3,3,5]]=>1
[[1,1,1,3,4,5]]=>1
[[1,1,1,3,5,5]]=>1
[[1,1,1,4,4,5]]=>1
[[1,1,1,4,5,5]]=>1
[[1,1,2,2,2,5]]=>1
[[1,1,2,2,3,5]]=>1
[[1,1,2,2,4,5]]=>1
[[1,1,2,2,5,5]]=>1
[[1,1,2,3,3,5]]=>1
[[1,1,2,3,4,5]]=>1
[[1,1,2,3,5,5]]=>1
[[1,1,2,4,4,5]]=>1
[[1,1,2,4,5,5]]=>1
[[1,1,3,3,3,5]]=>1
[[1,1,3,3,4,5]]=>1
[[1,1,3,3,5,5]]=>1
[[1,1,3,4,4,5]]=>1
[[1,1,3,4,5,5]]=>1
[[1,2,2,2,2,5]]=>1
[[1,2,2,2,3,5]]=>1
[[1,2,2,2,4,5]]=>1
[[1,2,2,2,5,5]]=>1
[[1,2,2,3,3,5]]=>1
[[1,2,2,3,4,5]]=>1
[[1,2,2,3,5,5]]=>1
[[1,2,2,4,4,5]]=>1
[[1,2,2,4,5,5]]=>1
[[1,2,3,3,3,5]]=>1
[[1,2,3,3,4,5]]=>1
[[1,2,3,3,5,5]]=>1
[[1,2,3,4,4,5]]=>1
[[1,2,3,4,5,5]]=>1
[[1,1,1,1,1,6]]=>1
[[1,1,1,1,2,6]]=>1
[[1,1,1,1,3,6]]=>1
[[1,1,1,1,4,6]]=>1
[[1,1,1,1,5,6]]=>1
[[1,1,1,2,2,6]]=>1
[[1,1,1,2,3,6]]=>1
[[1,1,1,2,4,6]]=>1
[[1,1,1,2,5,6]]=>1
[[1,1,1,3,3,6]]=>1
[[1,1,1,3,4,6]]=>1
[[1,1,1,3,5,6]]=>1
[[1,1,1,4,4,6]]=>1
[[1,1,1,4,5,6]]=>1
[[1,1,2,2,2,6]]=>1
[[1,1,2,2,3,6]]=>1
[[1,1,2,2,4,6]]=>1
[[1,1,2,2,5,6]]=>1
[[1,1,2,3,3,6]]=>1
[[1,1,2,3,4,6]]=>1
[[1,1,2,3,5,6]]=>1
[[1,1,2,4,4,6]]=>1
[[1,1,2,4,5,6]]=>1
[[1,1,3,3,3,6]]=>1
[[1,1,3,3,4,6]]=>1
[[1,1,3,3,5,6]]=>1
[[1,1,3,4,4,6]]=>1
[[1,1,3,4,5,6]]=>1
[[1,2,2,2,2,6]]=>1
[[1,2,2,2,3,6]]=>1
[[1,2,2,2,4,6]]=>1
[[1,2,2,2,5,6]]=>1
[[1,2,2,3,3,6]]=>1
[[1,2,2,3,4,6]]=>1
[[1,2,2,3,5,6]]=>1
[[1,2,2,4,4,6]]=>1
[[1,2,2,4,5,6]]=>1
[[1,2,3,3,3,6]]=>1
[[1,2,3,3,4,6]]=>1
[[1,2,3,3,5,6]]=>1
[[1,2,3,4,4,6]]=>1
[[1,2,3,4,5,6]]=>1
[[1,2,3,4,5],[6]]=>1
[[1,2,3,4,6],[5]]=>1
[[1,2,3,4],[5],[6]]=>1
[[1,2,3,5,6],[4]]=>1
[[1,2,3,5],[4,6]]=>6
[[1,2,3,5],[4],[6]]=>1
[[1,2,3,4],[5,6]]=>6
[[1,2,3,6],[4],[5]]=>1
[[1,2,3],[4],[5],[6]]=>1
[[1,2,4,5,6],[3]]=>1
[[1,2,4,5],[3,6]]=>6
[[1,2,4,6],[3,5]]=>5
[[1,2,4],[3,5],[6]]=>5
[[1,2,4,5],[3],[6]]=>1
[[1,2,4,6],[3],[5]]=>1
[[1,2,4],[3],[5],[6]]=>1
[[1,2,3,6],[4,5]]=>5
[[1,2,3],[4,5],[6]]=>5
[[1,2,5,6],[3],[4]]=>1
[[1,2,5],[3,6],[4]]=>6
[[1,2,5],[3],[4],[6]]=>1
[[1,2,3],[4,6],[5]]=>6
[[1,2,4],[3,6],[5]]=>6
[[1,2,6],[3],[4],[5]]=>1
[[1,2],[3],[4],[5],[6]]=>1
[[1,3,4,5,6],[2]]=>1
[[1,3,4,5],[2,6]]=>6
[[1,3,4,6],[2,5]]=>5
[[1,3,4],[2,5],[6]]=>5
[[1,3,5,6],[2,4]]=>4
[[1,3,5],[2,4,6]]=>4
[[1,3,5],[2,4],[6]]=>4
[[1,3,4],[2,5,6]]=>5
[[1,3,6],[2,4],[5]]=>4
[[1,3],[2,4],[5],[6]]=>4
[[1,3,4,5],[2],[6]]=>1
[[1,3,4,6],[2],[5]]=>1
[[1,3,4],[2],[5],[6]]=>1
[[1,3,5,6],[2],[4]]=>1
[[1,3,5],[2,6],[4]]=>6
[[1,3,5],[2],[4],[6]]=>1
[[1,3,4],[2,6],[5]]=>6
[[1,3,6],[2],[4],[5]]=>1
[[1,3],[2],[4],[5],[6]]=>1
[[1,2,5,6],[3,4]]=>4
[[1,2,5],[3,4,6]]=>4
[[1,2,5],[3,4],[6]]=>4
[[1,2,4],[3,5,6]]=>5
[[1,2,6],[3,4],[5]]=>4
[[1,2],[3,4],[5],[6]]=>4
[[1,4,5,6],[2],[3]]=>1
[[1,4,5],[2,6],[3]]=>6
[[1,4,6],[2,5],[3]]=>5
[[1,4],[2,5],[3,6]]=>5
[[1,4],[2,5],[3],[6]]=>5
[[1,4,5],[2],[3],[6]]=>1
[[1,4,6],[2],[3],[5]]=>1
[[1,4],[2],[3],[5],[6]]=>1
[[1,2,3],[4,5,6]]=>5
[[1,2,6],[3,5],[4]]=>5
[[1,2],[3,5],[4],[6]]=>5
[[1,3,6],[2,5],[4]]=>5
[[1,3],[2,5],[4,6]]=>5
[[1,3],[2,5],[4],[6]]=>5
[[1,2],[3,5],[4,6]]=>5
[[1,5,6],[2],[3],[4]]=>1
[[1,5],[2,6],[3],[4]]=>6
[[1,5],[2],[3],[4],[6]]=>1
[[1,2],[3,6],[4],[5]]=>6
[[1,3],[2,4],[5,6]]=>4
[[1,3],[2,6],[4],[5]]=>6
[[1,2],[3,4],[5,6]]=>4
[[1,4],[2,6],[3],[5]]=>6
[[1,6],[2],[3],[4],[5]]=>1
[[1],[2],[3],[4],[5],[6]]=>1
[[1,1,1,1],[2,2,2],[3,3],[4]]=>2
[[1,1,1,2],[2,2,2],[3,3],[4]]=>2
[[1,1,1,1],[2,2,3],[3,3],[4]]=>2
[[1,1,1,2],[2,2,3],[3,3],[4]]=>2
[[1,1,1,3],[2,2,3],[3,3],[4]]=>2
[[1,1,2,2],[2,2,3],[3,3],[4]]=>2
[[1,1,2,3],[2,2,3],[3,3],[4]]=>2
[[1,1,1,1],[2,2,2],[3,4],[4]]=>2
[[1,1,1,2],[2,2,2],[3,4],[4]]=>2
[[1,1,1,1],[2,2,3],[3,4],[4]]=>2
[[1,1,1,2],[2,2,3],[3,4],[4]]=>2
[[1,1,1,3],[2,2,3],[3,4],[4]]=>2
[[1,1,2,2],[2,2,3],[3,4],[4]]=>2
[[1,1,2,3],[2,2,3],[3,4],[4]]=>2
[[1,1,1,1],[2,2,4],[3,4],[4]]=>2
[[1,1,1,2],[2,2,4],[3,4],[4]]=>2
[[1,1,1,3],[2,2,4],[3,4],[4]]=>2
[[1,1,1,4],[2,2,4],[3,4],[4]]=>2
[[1,1,2,2],[2,2,4],[3,4],[4]]=>2
[[1,1,2,3],[2,2,4],[3,4],[4]]=>2
[[1,1,2,4],[2,2,4],[3,4],[4]]=>2
[[1,1,1,1],[2,3,3],[3,4],[4]]=>3
[[1,1,1,2],[2,3,3],[3,4],[4]]=>3
[[1,1,1,3],[2,3,3],[3,4],[4]]=>3
[[1,1,2,2],[2,3,3],[3,4],[4]]=>3
[[1,1,2,3],[2,3,3],[3,4],[4]]=>3
[[1,1,1,1],[2,3,4],[3,4],[4]]=>3
[[1,1,1,2],[2,3,4],[3,4],[4]]=>3
[[1,1,1,3],[2,3,4],[3,4],[4]]=>3
[[1,1,1,4],[2,3,4],[3,4],[4]]=>3
[[1,1,2,2],[2,3,4],[3,4],[4]]=>3
[[1,1,2,3],[2,3,4],[3,4],[4]]=>3
[[1,1,2,4],[2,3,4],[3,4],[4]]=>3
[[1,1,3,3],[2,3,4],[3,4],[4]]=>3
[[1,1,3,4],[2,3,4],[3,4],[4]]=>3
[[1,2,2,2],[2,3,3],[3,4],[4]]=>3
[[1,2,2,3],[2,3,3],[3,4],[4]]=>3
[[1,2,2,2],[2,3,4],[3,4],[4]]=>3
[[1,2,2,3],[2,3,4],[3,4],[4]]=>3
[[1,2,2,4],[2,3,4],[3,4],[4]]=>3
[[1,2,3,3],[2,3,4],[3,4],[4]]=>3
[[1,2,3,4],[2,3,4],[3,4],[4]]=>3
[[1,1,1,1,2,2,2],[3,3],[4]]=>3
[[1,1,1,2,2,2,2],[3,3],[4]]=>3
[[1,1,1,1,2,2,3],[3,3],[4]]=>3
[[1,1,1,2,2,2,3],[3,3],[4]]=>3
[[1,1,1,2,2,3,3],[3,3],[4]]=>3
[[1,1,2,2,2,2,3],[3,3],[4]]=>3
[[1,1,2,2,2,3,3],[3,3],[4]]=>3
[[1,1,1,1,2,2,2],[3,4],[4]]=>4
[[1,1,1,2,2,2,2],[3,4],[4]]=>4
[[1,1,1,1,2,2,3],[3,4],[4]]=>4
[[1,1,1,2,2,2,3],[3,4],[4]]=>4
[[1,1,1,2,2,3],[3,3,4],[4]]=>3
[[1,1,2,2,2,2,3],[3,4],[4]]=>4
[[1,1,2,2,2,3],[3,3,4],[4]]=>3
[[1,1,1,1,2,2,4],[3,4],[4]]=>4
[[1,1,1,2,2,2,4],[3,4],[4]]=>4
[[1,1,1,2,2,4,4],[3,3],[4]]=>3
[[1,1,1,2,2,4,4],[3,4],[4]]=>4
[[1,1,2,2,2,2,4],[3,4],[4]]=>4
[[1,1,2,2,2,4,4],[3,3],[4]]=>3
[[1,1,2,2,2,4,4],[3,4],[4]]=>4
[[1,1,1,1,2,3,3],[3,4],[4]]=>4
[[1,1,1,2,2,3,3],[3,4],[4]]=>4
[[1,1,1,2,3,3,3],[3,4],[4]]=>4
[[1,1,2,2,2,3,3],[3,4],[4]]=>4
[[1,1,2,2,3,3,3],[3,4],[4]]=>4
[[1,1,1,1,2,3,4],[3,4],[4]]=>4
[[1,1,1,2,2,3,4],[3,4],[4]]=>4
[[1,1,1,2,3,3,4],[3,4],[4]]=>4
[[1,1,1,2,3,4,4],[3,4],[4]]=>4
[[1,1,2,2,2,3,4],[3,4],[4]]=>4
[[1,1,2,2,3,3,4],[3,4],[4]]=>4
[[1,1,2,2,3,4,4],[3,4],[4]]=>4
[[1,1,2,3,3,3,4],[3,4],[4]]=>4
[[1,1,2,3,3,4,4],[3,4],[4]]=>4
[[1,2,2,2,2,3,3],[3,4],[4]]=>4
[[1,2,2,2,3,3,3],[3,4],[4]]=>4
[[1,2,2,2,2,3,4],[3,4],[4]]=>4
[[1,2,2,2,3,3,4],[3,4],[4]]=>4
[[1,2,2,2,3,4,4],[3,4],[4]]=>4
[[1,2,2,3,3,3,4],[3,4],[4]]=>4
[[1,2,2,3,3,4,4],[3,4],[4]]=>4
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,4],[5]]=>3
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,4],[5]]=>3
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,4],[5]]=>3
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>3
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>3
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,4],[5]]=>3
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,4],[5]]=>3
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,2,2],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,2,4],[2,2,2,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,1],[2,2,3,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,2,2,2],[2,2,3,3],[3,3,4],[4,4],[5]]=>4
[[1,1,2,2,3],[2,2,3,3],[3,3,4],[4,4],[5]]=>4
[[1,1,2,2,2],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,2,2,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,2,3,3],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,4],[5]]=>4
[[1,1,1,1,1],[2,2,2,2],[3,3,3],[4,5],[5]]=>3
[[1,1,1,1,2],[2,2,2,2],[3,3,3],[4,5],[5]]=>3
[[1,1,1,1,1],[2,2,2,3],[3,3,3],[4,5],[5]]=>3
[[1,1,1,1,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>3
[[1,1,1,1,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>3
[[1,1,1,2,2],[2,2,2,3],[3,3,3],[4,5],[5]]=>3
[[1,1,1,2,3],[2,2,2,3],[3,3,3],[4,5],[5]]=>3
[[1,1,1,1,1],[2,2,2,2],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,2],[2,2,2,2],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,2,3],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,2],[2,2,2,3],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>4
[[1,1,1,2,3],[2,2,2,3],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,2,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,2],[2,2,2,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,3],[2,2,2,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,4],[2,2,2,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,3,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,2],[2,2,3,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,2,3],[2,2,3,4],[3,3,4],[4,5],[5]]=>4
[[1,1,2,3,4],[2,2,3,4],[3,3,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,2,2],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,2],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,3],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,3],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,3],[2,2,2,3],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,4],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,4],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,3],[2,2,2,4],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,4],[2,2,2,4],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,3],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,4],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,2,2],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,2,5],[2,2,2,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,3,3],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,2,2,2],[2,2,3,3],[3,3,5],[4,5],[5]]=>5
[[1,1,2,2,3],[2,2,3,3],[3,3,5],[4,5],[5]]=>5
[[1,1,2,2,2],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,2,2,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,2,3,3],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,2,3,5],[2,2,3,5],[3,3,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,2],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,2],[2,2,2,2],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,2,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,2,2],[2,2,2,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,2,4],[2,2,2,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,2,2,2],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,2],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,3],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,2,3],[3,4,5],[4,5],[5]]=>5
[[1,1,1,2,3],[2,2,2,3],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,2,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,2,2],[2,2,2,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,2,5],[2,2,2,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,3,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,2,3,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,2,3],[2,2,3,4],[3,4,5],[4,5],[5]]=>5
[[1,1,2,3,4],[2,2,3,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,2,2,2],[2,2,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,2,2,4],[2,2,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,2,2,2],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,2,2,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,2,4,4],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,2,4,5],[2,2,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,3,3,3],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,1,1,1,1],[2,3,3,3],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,2],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,2,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,2,3,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,1,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,2],[2,3,3,3],[3,4,4],[4,5],[5]]=>4
[[1,2,2,2,3],[2,3,3,3],[3,4,4],[4,5],[5]]=>4
[[1,2,2,2,2],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,2,2,2,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,2,2,3,3],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,2,2,3,4],[2,3,3,4],[3,4,4],[4,5],[5]]=>4
[[1,2,2,2,2],[2,3,3,3],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,3],[2,3,3,3],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,2],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,3,3],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,3,5],[2,3,3,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,2],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,2],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,2,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,2,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,3,3,3],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,2,3,3,4],[2,3,4,4],[3,4,5],[4,5],[5]]=>5
[[1,2,3,3,3],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,3,3,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,3,4,4],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,2,3,4,5],[2,3,4,5],[3,4,5],[4,5],[5]]=>5
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,5],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,5],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,4],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,5],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,4,5],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,3],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,4],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,5],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,3],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,4],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,5],[2,2,2,2,5],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,3],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,4],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,5],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,6],[2,2,2,2,6],[3,3,3,6],[4,4,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,3],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,3],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,3,4],[4,5,6],[5,6],[6]]=>3
[[1,1,1,1,1,1],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,2],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,2,3],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,2,3,4],[2,2,2,3,4],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,2],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,2,3],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,2,3,4],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,2,3,4,5],[2,2,3,4,5],[3,3,4,5],[4,5,6],[5,6],[6]]=>4
[[1,1,1,1,1,1],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,2],[2,2,2,2,2],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,1],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,2],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,2,3],[2,2,2,2,3],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,1],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,2],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,2,3],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,2,3,4],[2,2,2,3,4],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,1],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,2],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,2,3],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,2,3,4],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,2,3,4,5],[2,2,3,4,5],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,1],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,1,2],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,2,3],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,2,3,4],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,2,3,4,5],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,2,3,4,5,6],[2,3,4,5,6],[3,4,5,6],[4,5,6],[5,6],[6]]=>5
[[1,1,1,1,6,6]]=>1
[[1,1,1,2,6,6]]=>1
[[1,1,1,3,6,6]]=>1
[[1,1,1,4,6,6]]=>1
[[1,1,1,5,5,5]]=>1
[[1,1,1,5,5,6]]=>1
[[1,1,1,5,6,6]]=>1
[[1,1,1,6,6,6]]=>1
[[1,1,2,2,6,6]]=>1
[[1,1,2,3,6,6]]=>1
[[1,1,2,4,6,6]]=>1
[[1,1,2,5,5,5]]=>1
[[1,1,2,5,5,6]]=>1
[[1,1,2,5,6,6]]=>1
[[1,1,2,6,6,6]]=>1
[[1,1,3,3,6,6]]=>1
[[1,1,3,4,6,6]]=>1
[[1,1,3,5,5,5]]=>1
[[1,1,3,5,5,6]]=>1
[[1,1,3,5,6,6]]=>1
[[1,1,3,6,6,6]]=>1
[[1,1,4,4,4,5]]=>1
[[1,1,4,4,4,6]]=>1
[[1,1,4,4,5,5]]=>1
[[1,1,4,4,5,6]]=>1
[[1,1,4,4,6,6]]=>1
[[1,1,4,5,5,5]]=>1
[[1,1,4,5,5,6]]=>1
[[1,1,4,5,6,6]]=>1
[[1,1,4,6,6,6]]=>1
[[1,1,5,5,5,5]]=>1
[[1,1,5,5,5,6]]=>1
[[1,1,5,5,6,6]]=>1
[[1,1,5,6,6,6]]=>1
[[1,1,6,6,6,6]]=>1
[[1,2,2,2,6,6]]=>1
[[1,2,2,3,6,6]]=>1
[[1,2,2,4,6,6]]=>1
[[1,2,2,5,5,5]]=>1
[[1,2,2,5,5,6]]=>1
[[1,2,2,5,6,6]]=>1
[[1,2,2,6,6,6]]=>1
[[1,2,3,3,6,6]]=>1
[[1,2,3,4,6,6]]=>1
[[1,2,3,5,5,5]]=>1
[[1,2,3,5,5,6]]=>1
[[1,2,3,5,6,6]]=>1
[[1,2,3,6,6,6]]=>1
[[1,2,4,4,4,5]]=>1
[[1,2,4,4,4,6]]=>1
[[1,2,4,4,5,5]]=>1
[[1,2,4,4,5,6]]=>1
[[1,2,4,4,6,6]]=>1
[[1,2,4,5,5,5]]=>1
[[1,2,4,5,5,6]]=>1
[[1,2,4,5,6,6]]=>1
[[1,2,4,6,6,6]]=>1
[[1,2,5,5,5,5]]=>1
[[1,2,5,5,5,6]]=>1
[[1,2,5,5,6,6]]=>1
[[1,2,5,6,6,6]]=>1
[[1,2,6,6,6,6]]=>1
[[1,3,3,3,3,5]]=>1
[[1,3,3,3,3,6]]=>1
[[1,3,3,3,4,5]]=>1
[[1,3,3,3,4,6]]=>1
[[1,3,3,3,5,5]]=>1
[[1,3,3,3,5,6]]=>1
[[1,3,3,3,6,6]]=>1
[[1,3,3,4,4,5]]=>1
[[1,3,3,4,4,6]]=>1
[[1,3,3,4,5,5]]=>1
[[1,3,3,4,5,6]]=>1
[[1,3,3,4,6,6]]=>1
[[1,3,3,5,5,5]]=>1
[[1,3,3,5,5,6]]=>1
[[1,3,3,5,6,6]]=>1
[[1,3,3,6,6,6]]=>1
[[1,3,4,4,4,5]]=>1
[[1,3,4,4,4,6]]=>1
[[1,3,4,4,5,5]]=>1
[[1,3,4,4,5,6]]=>1
[[1,3,4,4,6,6]]=>1
[[1,3,4,5,5,5]]=>1
[[1,3,4,5,5,6]]=>1
[[1,3,4,5,6,6]]=>1
[[1,3,4,6,6,6]]=>1
[[1,3,5,5,5,5]]=>1
[[1,3,5,5,5,6]]=>1
[[1,3,5,5,6,6]]=>1
[[1,3,5,6,6,6]]=>1
[[1,3,6,6,6,6]]=>1
[[1,4,4,4,4,5]]=>1
[[1,4,4,4,4,6]]=>1
[[1,4,4,4,5,5]]=>1
[[1,4,4,4,5,6]]=>1
[[1,4,4,4,6,6]]=>1
[[1,4,4,5,5,5]]=>1
[[1,4,4,5,5,6]]=>1
[[1,4,4,5,6,6]]=>1
[[1,4,4,6,6,6]]=>1
[[1,4,5,5,5,5]]=>1
[[1,4,5,5,5,6]]=>1
[[1,4,5,5,6,6]]=>1
[[1,4,5,6,6,6]]=>1
[[1,4,6,6,6,6]]=>1
[[1,5,5,5,5,5]]=>1
[[1,5,5,5,5,6]]=>1
[[1,5,5,5,6,6]]=>1
[[1,5,5,6,6,6]]=>1
[[1,5,6,6,6,6]]=>1
[[1,6,6,6,6,6]]=>1
[[2,2,2,2,2,5]]=>2
[[2,2,2,2,2,6]]=>2
[[2,2,2,2,3,5]]=>2
[[2,2,2,2,3,6]]=>2
[[2,2,2,2,4,5]]=>2
[[2,2,2,2,4,6]]=>2
[[2,2,2,2,5,5]]=>2
[[2,2,2,2,5,6]]=>2
[[2,2,2,2,6,6]]=>2
[[2,2,2,3,3,5]]=>2
[[2,2,2,3,3,6]]=>2
[[2,2,2,3,4,5]]=>2
[[2,2,2,3,4,6]]=>2
[[2,2,2,3,5,5]]=>2
[[2,2,2,3,5,6]]=>2
[[2,2,2,3,6,6]]=>2
[[2,2,2,4,4,5]]=>2
[[2,2,2,4,4,6]]=>2
[[2,2,2,4,5,5]]=>2
[[2,2,2,4,5,6]]=>2
[[2,2,2,4,6,6]]=>2
[[2,2,2,5,5,5]]=>2
[[2,2,2,5,5,6]]=>2
[[2,2,2,5,6,6]]=>2
[[2,2,2,6,6,6]]=>2
[[2,2,3,3,3,5]]=>2
[[2,2,3,3,3,6]]=>2
[[2,2,3,3,4,5]]=>2
[[2,2,3,3,4,6]]=>2
[[2,2,3,3,5,5]]=>2
[[2,2,3,3,5,6]]=>2
[[2,2,3,3,6,6]]=>2
[[2,2,3,4,4,5]]=>2
[[2,2,3,4,4,6]]=>2
[[2,2,3,4,5,5]]=>2
[[2,2,3,4,5,6]]=>2
[[2,2,3,4,6,6]]=>2
[[2,2,3,5,5,5]]=>2
[[2,2,3,5,5,6]]=>2
[[2,2,3,5,6,6]]=>2
[[2,2,3,6,6,6]]=>2
[[2,2,4,4,4,5]]=>2
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Description
The last entry on the main diagonal of a semistandard tableau.
Code
def statistic(T): m = None for i, row in enumerate(T): try: m = row[i] except IndexError: break return m
Created
Mar 29, 2017 at 11:10 by Christian Stump
Updated
Aug 09, 2019 at 12:40 by Martin Rubey
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