Identifier
- St000115: Gelfand-Tsetlin patterns ⟶ ℤ
Values
=>
Cc0018;cc-rep
[[1]]=>1
[[2]]=>2
[[3]]=>3
[[4]]=>4
[[5]]=>5
[[1,0],[0]]=>0
[[1,0],[1]]=>1
[[2,0],[0]]=>0
[[2,0],[1]]=>1
[[2,0],[2]]=>2
[[1,1],[1]]=>1
[[3,0],[0]]=>0
[[3,0],[1]]=>1
[[3,0],[2]]=>2
[[3,0],[3]]=>3
[[2,1],[1]]=>1
[[2,1],[2]]=>2
[[4,0],[0]]=>0
[[4,0],[1]]=>1
[[4,0],[2]]=>2
[[4,0],[3]]=>3
[[4,0],[4]]=>4
[[3,1],[1]]=>1
[[3,1],[2]]=>2
[[3,1],[3]]=>3
[[2,2],[2]]=>2
[[5,0],[0]]=>0
[[5,0],[1]]=>1
[[5,0],[2]]=>2
[[5,0],[3]]=>3
[[5,0],[4]]=>4
[[5,0],[5]]=>5
[[4,1],[1]]=>1
[[4,1],[2]]=>2
[[4,1],[3]]=>3
[[4,1],[4]]=>4
[[3,2],[2]]=>2
[[3,2],[3]]=>3
[[6,0],[0]]=>0
[[6,0],[1]]=>1
[[6,0],[2]]=>2
[[6,0],[3]]=>3
[[6,0],[4]]=>4
[[6,0],[5]]=>5
[[6,0],[6]]=>6
[[5,1],[1]]=>1
[[5,1],[2]]=>2
[[5,1],[3]]=>3
[[5,1],[4]]=>4
[[5,1],[5]]=>5
[[4,2],[2]]=>2
[[4,2],[3]]=>3
[[4,2],[4]]=>4
[[3,3],[3]]=>3
[[1,0,0],[0,0],[0]]=>0
[[1,0,0],[1,0],[0]]=>0
[[1,0,0],[1,0],[1]]=>1
[[2,0,0],[0,0],[0]]=>0
[[2,0,0],[1,0],[0]]=>0
[[2,0,0],[1,0],[1]]=>1
[[2,0,0],[2,0],[0]]=>0
[[2,0,0],[2,0],[1]]=>1
[[2,0,0],[2,0],[2]]=>2
[[1,1,0],[1,0],[0]]=>0
[[1,1,0],[1,0],[1]]=>1
[[1,1,0],[1,1],[1]]=>1
[[3,0,0],[0,0],[0]]=>0
[[3,0,0],[1,0],[0]]=>0
[[3,0,0],[1,0],[1]]=>1
[[3,0,0],[2,0],[0]]=>0
[[3,0,0],[2,0],[1]]=>1
[[3,0,0],[2,0],[2]]=>2
[[3,0,0],[3,0],[0]]=>0
[[3,0,0],[3,0],[1]]=>1
[[3,0,0],[3,0],[2]]=>2
[[3,0,0],[3,0],[3]]=>3
[[2,1,0],[1,0],[0]]=>0
[[2,1,0],[1,0],[1]]=>1
[[2,1,0],[1,1],[1]]=>1
[[2,1,0],[2,0],[0]]=>0
[[2,1,0],[2,0],[1]]=>1
[[2,1,0],[2,0],[2]]=>2
[[2,1,0],[2,1],[1]]=>1
[[2,1,0],[2,1],[2]]=>2
[[1,1,1],[1,1],[1]]=>1
[[4,0,0],[0,0],[0]]=>0
[[4,0,0],[1,0],[0]]=>0
[[4,0,0],[1,0],[1]]=>1
[[4,0,0],[2,0],[0]]=>0
[[4,0,0],[2,0],[1]]=>1
[[4,0,0],[2,0],[2]]=>2
[[4,0,0],[3,0],[0]]=>0
[[4,0,0],[3,0],[1]]=>1
[[4,0,0],[3,0],[2]]=>2
[[4,0,0],[3,0],[3]]=>3
[[4,0,0],[4,0],[0]]=>0
[[4,0,0],[4,0],[1]]=>1
[[4,0,0],[4,0],[2]]=>2
[[4,0,0],[4,0],[3]]=>3
[[4,0,0],[4,0],[4]]=>4
[[3,1,0],[1,0],[0]]=>0
[[3,1,0],[1,0],[1]]=>1
[[3,1,0],[1,1],[1]]=>1
[[3,1,0],[2,0],[0]]=>0
[[3,1,0],[2,0],[1]]=>1
[[3,1,0],[2,0],[2]]=>2
[[3,1,0],[2,1],[1]]=>1
[[3,1,0],[2,1],[2]]=>2
[[3,1,0],[3,0],[0]]=>0
[[3,1,0],[3,0],[1]]=>1
[[3,1,0],[3,0],[2]]=>2
[[3,1,0],[3,0],[3]]=>3
[[3,1,0],[3,1],[1]]=>1
[[3,1,0],[3,1],[2]]=>2
[[3,1,0],[3,1],[3]]=>3
[[2,2,0],[2,0],[0]]=>0
[[2,2,0],[2,0],[1]]=>1
[[2,2,0],[2,0],[2]]=>2
[[2,2,0],[2,1],[1]]=>1
[[2,2,0],[2,1],[2]]=>2
[[2,2,0],[2,2],[2]]=>2
[[2,1,1],[1,1],[1]]=>1
[[2,1,1],[2,1],[1]]=>1
[[2,1,1],[2,1],[2]]=>2
[[5,0,0],[0,0],[0]]=>0
[[5,0,0],[1,0],[0]]=>0
[[5,0,0],[1,0],[1]]=>1
[[5,0,0],[2,0],[0]]=>0
[[5,0,0],[2,0],[1]]=>1
[[5,0,0],[2,0],[2]]=>2
[[5,0,0],[3,0],[0]]=>0
[[5,0,0],[3,0],[1]]=>1
[[5,0,0],[3,0],[2]]=>2
[[5,0,0],[3,0],[3]]=>3
[[5,0,0],[4,0],[0]]=>0
[[5,0,0],[4,0],[1]]=>1
[[5,0,0],[4,0],[2]]=>2
[[5,0,0],[4,0],[3]]=>3
[[5,0,0],[4,0],[4]]=>4
[[5,0,0],[5,0],[1]]=>1
[[5,0,0],[5,0],[2]]=>2
[[5,0,0],[5,0],[3]]=>3
[[5,0,0],[5,0],[4]]=>4
[[5,0,0],[5,0],[5]]=>5
[[4,1,0],[1,0],[0]]=>0
[[4,1,0],[1,0],[1]]=>1
[[4,1,0],[1,1],[1]]=>1
[[4,1,0],[2,0],[0]]=>0
[[4,1,0],[2,0],[1]]=>1
[[4,1,0],[2,0],[2]]=>2
[[4,1,0],[2,1],[1]]=>1
[[4,1,0],[2,1],[2]]=>2
[[4,1,0],[3,0],[0]]=>0
[[4,1,0],[3,0],[1]]=>1
[[4,1,0],[3,0],[2]]=>2
[[4,1,0],[3,0],[3]]=>3
[[4,1,0],[3,1],[1]]=>1
[[4,1,0],[3,1],[2]]=>2
[[4,1,0],[3,1],[3]]=>3
[[4,1,0],[4,0],[0]]=>0
[[4,1,0],[4,0],[1]]=>1
[[4,1,0],[4,0],[2]]=>2
[[4,1,0],[4,0],[3]]=>3
[[4,1,0],[4,0],[4]]=>4
[[4,1,0],[4,1],[1]]=>1
[[4,1,0],[4,1],[2]]=>2
[[4,1,0],[4,1],[3]]=>3
[[4,1,0],[4,1],[4]]=>4
[[3,2,0],[2,0],[0]]=>0
[[3,2,0],[2,0],[1]]=>1
[[3,2,0],[2,0],[2]]=>2
[[3,2,0],[2,1],[1]]=>1
[[3,2,0],[2,1],[2]]=>2
[[3,2,0],[2,2],[2]]=>2
[[3,2,0],[3,0],[0]]=>0
[[3,2,0],[3,0],[1]]=>1
[[3,2,0],[3,0],[2]]=>2
[[3,2,0],[3,0],[3]]=>3
[[3,2,0],[3,1],[1]]=>1
[[3,2,0],[3,1],[2]]=>2
[[3,2,0],[3,1],[3]]=>3
[[3,2,0],[3,2],[2]]=>2
[[3,2,0],[3,2],[3]]=>3
[[3,1,1],[1,1],[1]]=>1
[[3,1,1],[2,1],[1]]=>1
[[3,1,1],[2,1],[2]]=>2
[[3,1,1],[3,1],[1]]=>1
[[3,1,1],[3,1],[2]]=>2
[[3,1,1],[3,1],[3]]=>3
[[2,2,1],[2,1],[1]]=>1
[[2,2,1],[2,1],[2]]=>2
[[2,2,1],[2,2],[2]]=>2
[[3,3,0],[3,0],[0]]=>0
[[3,3,0],[3,0],[1]]=>1
[[3,3,0],[3,0],[2]]=>2
[[3,3,0],[3,0],[3]]=>3
[[3,3,0],[3,1],[1]]=>1
[[3,3,0],[3,1],[2]]=>2
[[3,3,0],[3,1],[3]]=>3
[[3,3,0],[3,2],[2]]=>2
[[3,3,0],[3,2],[3]]=>3
[[3,3,0],[3,3],[3]]=>3
[[3,2,1],[2,1],[1]]=>1
[[3,2,1],[2,1],[2]]=>2
[[3,2,1],[2,2],[2]]=>2
[[3,2,1],[3,1],[1]]=>1
[[3,2,1],[3,1],[2]]=>2
[[3,2,1],[3,1],[3]]=>3
[[3,2,1],[3,2],[2]]=>2
[[3,2,1],[3,2],[3]]=>3
[[2,2,2],[2,2],[2]]=>2
[[3,3,1],[3,3],[3]]=>3
[[3,3,1],[3,2],[3]]=>3
[[3,3,1],[3,1],[3]]=>3
[[3,3,1],[3,2],[2]]=>2
[[3,3,1],[3,1],[2]]=>2
[[3,3,1],[3,1],[1]]=>1
[[3,2,2],[3,2],[3]]=>3
[[3,2,2],[3,2],[2]]=>2
[[3,2,2],[2,2],[2]]=>2
[[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0],[2,0,0],[0,0],[0]]=>0
[[2,0,0,0],[2,0,0],[1,0],[0]]=>0
[[2,0,0,0],[2,0,0],[1,0],[1]]=>1
[[2,0,0,0],[2,0,0],[2,0],[0]]=>0
[[2,0,0,0],[2,0,0],[2,0],[1]]=>1
[[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[1,1,0,0],[1,0,0],[0,0],[0]]=>0
[[1,1,0,0],[1,0,0],[1,0],[0]]=>0
[[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0],[1,1,0],[1,0],[0]]=>0
[[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[3,0,0,0],[0,0,0],[0,0],[0]]=>0
[[3,0,0,0],[1,0,0],[0,0],[0]]=>0
[[3,0,0,0],[1,0,0],[1,0],[0]]=>0
[[3,0,0,0],[1,0,0],[1,0],[1]]=>1
[[3,0,0,0],[2,0,0],[0,0],[0]]=>0
[[3,0,0,0],[2,0,0],[1,0],[0]]=>0
[[3,0,0,0],[2,0,0],[1,0],[1]]=>1
[[3,0,0,0],[2,0,0],[2,0],[0]]=>0
[[3,0,0,0],[2,0,0],[2,0],[1]]=>1
[[3,0,0,0],[2,0,0],[2,0],[2]]=>2
[[3,0,0,0],[3,0,0],[0,0],[0]]=>0
[[3,0,0,0],[3,0,0],[1,0],[0]]=>0
[[3,0,0,0],[3,0,0],[1,0],[1]]=>1
[[3,0,0,0],[3,0,0],[2,0],[0]]=>0
[[3,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,0,0,0],[3,0,0],[2,0],[2]]=>2
[[3,0,0,0],[3,0,0],[3,0],[0]]=>0
[[3,0,0,0],[3,0,0],[3,0],[1]]=>1
[[3,0,0,0],[3,0,0],[3,0],[2]]=>2
[[3,0,0,0],[3,0,0],[3,0],[3]]=>3
[[2,1,0,0],[1,0,0],[0,0],[0]]=>0
[[2,1,0,0],[1,0,0],[1,0],[0]]=>0
[[2,1,0,0],[1,0,0],[1,0],[1]]=>1
[[2,1,0,0],[1,1,0],[1,0],[0]]=>0
[[2,1,0,0],[1,1,0],[1,0],[1]]=>1
[[2,1,0,0],[1,1,0],[1,1],[1]]=>1
[[2,1,0,0],[2,0,0],[0,0],[0]]=>0
[[2,1,0,0],[2,0,0],[1,0],[0]]=>0
[[2,1,0,0],[2,0,0],[1,0],[1]]=>1
[[2,1,0,0],[2,0,0],[2,0],[0]]=>0
[[2,1,0,0],[2,0,0],[2,0],[1]]=>1
[[2,1,0,0],[2,0,0],[2,0],[2]]=>2
[[2,1,0,0],[2,1,0],[1,0],[0]]=>0
[[2,1,0,0],[2,1,0],[1,0],[1]]=>1
[[2,1,0,0],[2,1,0],[1,1],[1]]=>1
[[2,1,0,0],[2,1,0],[2,0],[0]]=>0
[[2,1,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,0,0],[2,1,0],[2,0],[2]]=>2
[[2,1,0,0],[2,1,0],[2,1],[1]]=>1
[[2,1,0,0],[2,1,0],[2,1],[2]]=>2
[[1,1,1,0],[1,1,0],[1,0],[0]]=>0
[[1,1,1,0],[1,1,0],[1,0],[1]]=>1
[[1,1,1,0],[1,1,0],[1,1],[1]]=>1
[[1,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,0,0,0],[0,0,0],[0,0],[0]]=>0
[[4,0,0,0],[1,0,0],[0,0],[0]]=>0
[[4,0,0,0],[1,0,0],[1,0],[0]]=>0
[[4,0,0,0],[1,0,0],[1,0],[1]]=>1
[[4,0,0,0],[2,0,0],[0,0],[0]]=>0
[[4,0,0,0],[2,0,0],[1,0],[0]]=>0
[[4,0,0,0],[2,0,0],[1,0],[1]]=>1
[[4,0,0,0],[2,0,0],[2,0],[0]]=>0
[[4,0,0,0],[2,0,0],[2,0],[1]]=>1
[[4,0,0,0],[2,0,0],[2,0],[2]]=>2
[[4,0,0,0],[3,0,0],[0,0],[0]]=>0
[[4,0,0,0],[3,0,0],[1,0],[0]]=>0
[[4,0,0,0],[3,0,0],[1,0],[1]]=>1
[[4,0,0,0],[3,0,0],[2,0],[0]]=>0
[[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,0,0,0],[3,0,0],[2,0],[2]]=>2
[[4,0,0,0],[3,0,0],[3,0],[0]]=>0
[[4,0,0,0],[3,0,0],[3,0],[1]]=>1
[[4,0,0,0],[3,0,0],[3,0],[2]]=>2
[[4,0,0,0],[3,0,0],[3,0],[3]]=>3
[[4,0,0,0],[4,0,0],[0,0],[0]]=>0
[[4,0,0,0],[4,0,0],[1,0],[0]]=>0
[[4,0,0,0],[4,0,0],[1,0],[1]]=>1
[[4,0,0,0],[4,0,0],[2,0],[0]]=>0
[[4,0,0,0],[4,0,0],[2,0],[1]]=>1
[[4,0,0,0],[4,0,0],[2,0],[2]]=>2
[[4,0,0,0],[4,0,0],[3,0],[0]]=>0
[[4,0,0,0],[4,0,0],[3,0],[1]]=>1
[[4,0,0,0],[4,0,0],[3,0],[2]]=>2
[[4,0,0,0],[4,0,0],[3,0],[3]]=>3
[[4,0,0,0],[4,0,0],[4,0],[0]]=>0
[[4,0,0,0],[4,0,0],[4,0],[1]]=>1
[[4,0,0,0],[4,0,0],[4,0],[2]]=>2
[[4,0,0,0],[4,0,0],[4,0],[3]]=>3
[[4,0,0,0],[4,0,0],[4,0],[4]]=>4
[[3,1,0,0],[1,0,0],[0,0],[0]]=>0
[[3,1,0,0],[1,0,0],[1,0],[0]]=>0
[[3,1,0,0],[1,0,0],[1,0],[1]]=>1
[[3,1,0,0],[1,1,0],[1,0],[0]]=>0
[[3,1,0,0],[1,1,0],[1,0],[1]]=>1
[[3,1,0,0],[1,1,0],[1,1],[1]]=>1
[[3,1,0,0],[2,0,0],[0,0],[0]]=>0
[[3,1,0,0],[2,0,0],[1,0],[0]]=>0
[[3,1,0,0],[2,0,0],[1,0],[1]]=>1
[[3,1,0,0],[2,0,0],[2,0],[0]]=>0
[[3,1,0,0],[2,0,0],[2,0],[1]]=>1
[[3,1,0,0],[2,0,0],[2,0],[2]]=>2
[[3,1,0,0],[2,1,0],[1,0],[0]]=>0
[[3,1,0,0],[2,1,0],[1,0],[1]]=>1
[[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,1,0,0],[2,1,0],[2,0],[0]]=>0
[[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,1,0,0],[2,1,0],[2,0],[2]]=>2
[[3,1,0,0],[2,1,0],[2,1],[1]]=>1
[[3,1,0,0],[2,1,0],[2,1],[2]]=>2
[[3,1,0,0],[3,0,0],[0,0],[0]]=>0
[[3,1,0,0],[3,0,0],[1,0],[0]]=>0
[[3,1,0,0],[3,0,0],[1,0],[1]]=>1
[[3,1,0,0],[3,0,0],[2,0],[0]]=>0
[[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,0,0],[3,0,0],[2,0],[2]]=>2
[[3,1,0,0],[3,0,0],[3,0],[0]]=>0
[[3,1,0,0],[3,0,0],[3,0],[1]]=>1
[[3,1,0,0],[3,0,0],[3,0],[2]]=>2
[[3,1,0,0],[3,0,0],[3,0],[3]]=>3
[[3,1,0,0],[3,1,0],[1,0],[0]]=>0
[[3,1,0,0],[3,1,0],[1,0],[1]]=>1
[[3,1,0,0],[3,1,0],[1,1],[1]]=>1
[[3,1,0,0],[3,1,0],[2,0],[0]]=>0
[[3,1,0,0],[3,1,0],[2,0],[1]]=>1
[[3,1,0,0],[3,1,0],[2,0],[2]]=>2
[[3,1,0,0],[3,1,0],[2,1],[1]]=>1
[[3,1,0,0],[3,1,0],[2,1],[2]]=>2
[[3,1,0,0],[3,1,0],[3,0],[0]]=>0
[[3,1,0,0],[3,1,0],[3,0],[1]]=>1
[[3,1,0,0],[3,1,0],[3,0],[2]]=>2
[[3,1,0,0],[3,1,0],[3,0],[3]]=>3
[[3,1,0,0],[3,1,0],[3,1],[1]]=>1
[[3,1,0,0],[3,1,0],[3,1],[2]]=>2
[[3,1,0,0],[3,1,0],[3,1],[3]]=>3
[[2,2,0,0],[2,0,0],[0,0],[0]]=>0
[[2,2,0,0],[2,0,0],[1,0],[0]]=>0
[[2,2,0,0],[2,0,0],[1,0],[1]]=>1
[[2,2,0,0],[2,0,0],[2,0],[0]]=>0
[[2,2,0,0],[2,0,0],[2,0],[1]]=>1
[[2,2,0,0],[2,0,0],[2,0],[2]]=>2
[[2,2,0,0],[2,1,0],[1,0],[0]]=>0
[[2,2,0,0],[2,1,0],[1,0],[1]]=>1
[[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[2,2,0,0],[2,1,0],[2,0],[0]]=>0
[[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,0,0],[2,1,0],[2,0],[2]]=>2
[[2,2,0,0],[2,1,0],[2,1],[1]]=>1
[[2,2,0,0],[2,1,0],[2,1],[2]]=>2
[[2,2,0,0],[2,2,0],[2,0],[0]]=>0
[[2,2,0,0],[2,2,0],[2,0],[1]]=>1
[[2,2,0,0],[2,2,0],[2,0],[2]]=>2
[[2,2,0,0],[2,2,0],[2,1],[1]]=>1
[[2,2,0,0],[2,2,0],[2,1],[2]]=>2
[[2,2,0,0],[2,2,0],[2,2],[2]]=>2
[[2,1,1,0],[1,1,0],[1,0],[0]]=>0
[[2,1,1,0],[1,1,0],[1,0],[1]]=>1
[[2,1,1,0],[1,1,0],[1,1],[1]]=>1
[[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,1,1,0],[2,1,0],[1,0],[0]]=>0
[[2,1,1,0],[2,1,0],[1,0],[1]]=>1
[[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,1,1,0],[2,1,0],[2,0],[0]]=>0
[[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,0],[2,1,0],[2,0],[2]]=>2
[[2,1,1,0],[2,1,0],[2,1],[1]]=>1
[[2,1,1,0],[2,1,0],[2,1],[2]]=>2
[[2,1,1,0],[2,1,1],[1,1],[1]]=>1
[[2,1,1,0],[2,1,1],[2,1],[1]]=>1
[[2,1,1,0],[2,1,1],[2,1],[2]]=>2
[[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,0,0],[1,0,0],[0,0],[0]]=>0
[[4,1,0,0],[1,0,0],[1,0],[0]]=>0
[[4,1,0,0],[1,0,0],[1,0],[1]]=>1
[[4,1,0,0],[1,1,0],[1,0],[0]]=>0
[[4,1,0,0],[1,1,0],[1,0],[1]]=>1
[[4,1,0,0],[1,1,0],[1,1],[1]]=>1
[[4,1,0,0],[2,0,0],[0,0],[0]]=>0
[[4,1,0,0],[2,0,0],[1,0],[0]]=>0
[[4,1,0,0],[2,0,0],[1,0],[1]]=>1
[[4,1,0,0],[2,0,0],[2,0],[0]]=>0
[[4,1,0,0],[2,0,0],[2,0],[1]]=>1
[[4,1,0,0],[2,0,0],[2,0],[2]]=>2
[[4,1,0,0],[2,1,0],[1,0],[0]]=>0
[[4,1,0,0],[2,1,0],[1,0],[1]]=>1
[[4,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,1,0,0],[2,1,0],[2,0],[0]]=>0
[[4,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,1,0,0],[2,1,0],[2,0],[2]]=>2
[[4,1,0,0],[2,1,0],[2,1],[1]]=>1
[[4,1,0,0],[2,1,0],[2,1],[2]]=>2
[[4,1,0,0],[3,0,0],[0,0],[0]]=>0
[[4,1,0,0],[3,0,0],[1,0],[0]]=>0
[[4,1,0,0],[3,0,0],[1,0],[1]]=>1
[[4,1,0,0],[3,0,0],[2,0],[0]]=>0
[[4,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,0,0],[3,0,0],[2,0],[2]]=>2
[[4,1,0,0],[3,0,0],[3,0],[0]]=>0
[[4,1,0,0],[3,0,0],[3,0],[1]]=>1
[[4,1,0,0],[3,0,0],[3,0],[2]]=>2
[[4,1,0,0],[3,0,0],[3,0],[3]]=>3
[[4,1,0,0],[3,1,0],[1,0],[0]]=>0
[[4,1,0,0],[3,1,0],[1,0],[1]]=>1
[[4,1,0,0],[3,1,0],[1,1],[1]]=>1
[[4,1,0,0],[3,1,0],[2,0],[0]]=>0
[[4,1,0,0],[3,1,0],[2,0],[1]]=>1
[[4,1,0,0],[3,1,0],[2,0],[2]]=>2
[[4,1,0,0],[3,1,0],[2,1],[1]]=>1
[[4,1,0,0],[3,1,0],[2,1],[2]]=>2
[[4,1,0,0],[3,1,0],[3,0],[0]]=>0
[[4,1,0,0],[3,1,0],[3,0],[1]]=>1
[[4,1,0,0],[3,1,0],[3,0],[2]]=>2
[[4,1,0,0],[3,1,0],[3,0],[3]]=>3
[[4,1,0,0],[3,1,0],[3,1],[1]]=>1
[[4,1,0,0],[3,1,0],[3,1],[2]]=>2
[[4,1,0,0],[3,1,0],[3,1],[3]]=>3
[[4,1,0,0],[4,0,0],[0,0],[0]]=>0
[[4,1,0,0],[4,0,0],[1,0],[0]]=>0
[[4,1,0,0],[4,0,0],[1,0],[1]]=>1
[[4,1,0,0],[4,0,0],[2,0],[0]]=>0
[[4,1,0,0],[4,0,0],[2,0],[1]]=>1
[[4,1,0,0],[4,0,0],[2,0],[2]]=>2
[[4,1,0,0],[4,0,0],[3,0],[0]]=>0
[[4,1,0,0],[4,0,0],[3,0],[1]]=>1
[[4,1,0,0],[4,0,0],[3,0],[2]]=>2
[[4,1,0,0],[4,0,0],[3,0],[3]]=>3
[[4,1,0,0],[4,0,0],[4,0],[0]]=>0
[[4,1,0,0],[4,0,0],[4,0],[1]]=>1
[[4,1,0,0],[4,0,0],[4,0],[2]]=>2
[[4,1,0,0],[4,0,0],[4,0],[3]]=>3
[[4,1,0,0],[4,0,0],[4,0],[4]]=>4
[[4,1,0,0],[4,1,0],[1,0],[0]]=>0
[[4,1,0,0],[4,1,0],[1,0],[1]]=>1
[[4,1,0,0],[4,1,0],[1,1],[1]]=>1
[[4,1,0,0],[4,1,0],[2,0],[0]]=>0
[[4,1,0,0],[4,1,0],[2,0],[1]]=>1
[[4,1,0,0],[4,1,0],[2,0],[2]]=>2
[[4,1,0,0],[4,1,0],[2,1],[1]]=>1
[[4,1,0,0],[4,1,0],[2,1],[2]]=>2
[[4,1,0,0],[4,1,0],[3,0],[0]]=>0
[[4,1,0,0],[4,1,0],[3,0],[1]]=>1
[[4,1,0,0],[4,1,0],[3,0],[2]]=>2
[[4,1,0,0],[4,1,0],[3,0],[3]]=>3
[[4,1,0,0],[4,1,0],[3,1],[1]]=>1
[[4,1,0,0],[4,1,0],[3,1],[2]]=>2
[[4,1,0,0],[4,1,0],[3,1],[3]]=>3
[[4,1,0,0],[4,1,0],[4,0],[0]]=>0
[[4,1,0,0],[4,1,0],[4,0],[1]]=>1
[[4,1,0,0],[4,1,0],[4,0],[2]]=>2
[[4,1,0,0],[4,1,0],[4,0],[3]]=>3
[[4,1,0,0],[4,1,0],[4,0],[4]]=>4
[[4,1,0,0],[4,1,0],[4,1],[1]]=>1
[[4,1,0,0],[4,1,0],[4,1],[2]]=>2
[[4,1,0,0],[4,1,0],[4,1],[3]]=>3
[[4,1,0,0],[4,1,0],[4,1],[4]]=>4
[[3,2,0,0],[2,0,0],[0,0],[0]]=>0
[[3,2,0,0],[2,0,0],[1,0],[0]]=>0
[[3,2,0,0],[2,0,0],[1,0],[1]]=>1
[[3,2,0,0],[2,0,0],[2,0],[0]]=>0
[[3,2,0,0],[2,0,0],[2,0],[1]]=>1
[[3,2,0,0],[2,0,0],[2,0],[2]]=>2
[[3,2,0,0],[2,1,0],[1,0],[0]]=>0
[[3,2,0,0],[2,1,0],[1,0],[1]]=>1
[[3,2,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,0,0],[2,1,0],[2,0],[0]]=>0
[[3,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,0,0],[2,1,0],[2,0],[2]]=>2
[[3,2,0,0],[2,1,0],[2,1],[1]]=>1
[[3,2,0,0],[2,1,0],[2,1],[2]]=>2
[[3,2,0,0],[2,2,0],[2,0],[0]]=>0
[[3,2,0,0],[2,2,0],[2,0],[1]]=>1
[[3,2,0,0],[2,2,0],[2,0],[2]]=>2
[[3,2,0,0],[2,2,0],[2,1],[1]]=>1
[[3,2,0,0],[2,2,0],[2,1],[2]]=>2
[[3,2,0,0],[2,2,0],[2,2],[2]]=>2
[[3,2,0,0],[3,0,0],[0,0],[0]]=>0
[[3,2,0,0],[3,0,0],[1,0],[0]]=>0
[[3,2,0,0],[3,0,0],[1,0],[1]]=>1
[[3,2,0,0],[3,0,0],[2,0],[0]]=>0
[[3,2,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,0,0],[3,0,0],[2,0],[2]]=>2
[[3,2,0,0],[3,0,0],[3,0],[0]]=>0
[[3,2,0,0],[3,0,0],[3,0],[1]]=>1
[[3,2,0,0],[3,0,0],[3,0],[2]]=>2
[[3,2,0,0],[3,0,0],[3,0],[3]]=>3
[[3,2,0,0],[3,1,0],[1,0],[0]]=>0
[[3,2,0,0],[3,1,0],[1,0],[1]]=>1
[[3,2,0,0],[3,1,0],[1,1],[1]]=>1
[[3,2,0,0],[3,1,0],[2,0],[0]]=>0
[[3,2,0,0],[3,1,0],[2,0],[1]]=>1
[[3,2,0,0],[3,1,0],[2,0],[2]]=>2
[[3,2,0,0],[3,1,0],[2,1],[1]]=>1
[[3,2,0,0],[3,1,0],[2,1],[2]]=>2
[[3,2,0,0],[3,1,0],[3,0],[0]]=>0
[[3,2,0,0],[3,1,0],[3,0],[1]]=>1
[[3,2,0,0],[3,1,0],[3,0],[2]]=>2
[[3,2,0,0],[3,1,0],[3,0],[3]]=>3
[[3,2,0,0],[3,1,0],[3,1],[1]]=>1
[[3,2,0,0],[3,1,0],[3,1],[2]]=>2
[[3,2,0,0],[3,1,0],[3,1],[3]]=>3
[[3,2,0,0],[3,2,0],[2,0],[0]]=>0
[[3,2,0,0],[3,2,0],[2,0],[1]]=>1
[[3,2,0,0],[3,2,0],[2,0],[2]]=>2
[[3,2,0,0],[3,2,0],[2,1],[1]]=>1
[[3,2,0,0],[3,2,0],[2,1],[2]]=>2
[[3,2,0,0],[3,2,0],[2,2],[2]]=>2
[[3,2,0,0],[3,2,0],[3,0],[0]]=>0
[[3,2,0,0],[3,2,0],[3,0],[1]]=>1
[[3,2,0,0],[3,2,0],[3,0],[2]]=>2
[[3,2,0,0],[3,2,0],[3,0],[3]]=>3
[[3,2,0,0],[3,2,0],[3,1],[1]]=>1
[[3,2,0,0],[3,2,0],[3,1],[2]]=>2
[[3,2,0,0],[3,2,0],[3,1],[3]]=>3
[[3,2,0,0],[3,2,0],[3,2],[2]]=>2
[[3,2,0,0],[3,2,0],[3,2],[3]]=>3
[[3,1,1,0],[1,1,0],[1,0],[0]]=>0
[[3,1,1,0],[1,1,0],[1,0],[1]]=>1
[[3,1,1,0],[1,1,0],[1,1],[1]]=>1
[[3,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,1,1,0],[2,1,0],[1,0],[0]]=>0
[[3,1,1,0],[2,1,0],[1,0],[1]]=>1
[[3,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,0],[2,1,0],[2,0],[0]]=>0
[[3,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,0],[2,1,0],[2,0],[2]]=>2
[[3,1,1,0],[2,1,0],[2,1],[1]]=>1
[[3,1,1,0],[2,1,0],[2,1],[2]]=>2
[[3,1,1,0],[2,1,1],[1,1],[1]]=>1
[[3,1,1,0],[2,1,1],[2,1],[1]]=>1
[[3,1,1,0],[2,1,1],[2,1],[2]]=>2
[[3,1,1,0],[3,1,0],[1,0],[0]]=>0
[[3,1,1,0],[3,1,0],[1,0],[1]]=>1
[[3,1,1,0],[3,1,0],[1,1],[1]]=>1
[[3,1,1,0],[3,1,0],[2,0],[0]]=>0
[[3,1,1,0],[3,1,0],[2,0],[1]]=>1
[[3,1,1,0],[3,1,0],[2,0],[2]]=>2
[[3,1,1,0],[3,1,0],[2,1],[1]]=>1
[[3,1,1,0],[3,1,0],[2,1],[2]]=>2
[[3,1,1,0],[3,1,0],[3,0],[0]]=>0
[[3,1,1,0],[3,1,0],[3,0],[1]]=>1
[[3,1,1,0],[3,1,0],[3,0],[2]]=>2
[[3,1,1,0],[3,1,0],[3,0],[3]]=>3
[[3,1,1,0],[3,1,0],[3,1],[1]]=>1
[[3,1,1,0],[3,1,0],[3,1],[2]]=>2
[[3,1,1,0],[3,1,0],[3,1],[3]]=>3
[[3,1,1,0],[3,1,1],[1,1],[1]]=>1
[[3,1,1,0],[3,1,1],[2,1],[1]]=>1
[[3,1,1,0],[3,1,1],[2,1],[2]]=>2
[[3,1,1,0],[3,1,1],[3,1],[1]]=>1
[[3,1,1,0],[3,1,1],[3,1],[2]]=>2
[[3,1,1,0],[3,1,1],[3,1],[3]]=>3
[[2,2,1,0],[2,1,0],[1,0],[0]]=>0
[[2,2,1,0],[2,1,0],[1,0],[1]]=>1
[[2,2,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,0],[2,1,0],[2,0],[0]]=>0
[[2,2,1,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,0],[2,1,0],[2,0],[2]]=>2
[[2,2,1,0],[2,1,0],[2,1],[1]]=>1
[[2,2,1,0],[2,1,0],[2,1],[2]]=>2
[[2,2,1,0],[2,1,1],[1,1],[1]]=>1
[[2,2,1,0],[2,1,1],[2,1],[1]]=>1
[[2,2,1,0],[2,1,1],[2,1],[2]]=>2
[[2,2,1,0],[2,2,0],[2,0],[0]]=>0
[[2,2,1,0],[2,2,0],[2,0],[1]]=>1
[[2,2,1,0],[2,2,0],[2,0],[2]]=>2
[[2,2,1,0],[2,2,0],[2,1],[1]]=>1
[[2,2,1,0],[2,2,0],[2,1],[2]]=>2
[[2,2,1,0],[2,2,0],[2,2],[2]]=>2
[[2,2,1,0],[2,2,1],[2,1],[1]]=>1
[[2,2,1,0],[2,2,1],[2,1],[2]]=>2
[[2,2,1,0],[2,2,1],[2,2],[2]]=>2
[[2,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1],[2,1,1],[1,1],[1]]=>1
[[2,1,1,1],[2,1,1],[2,1],[1]]=>1
[[2,1,1,1],[2,1,1],[2,1],[2]]=>2
[[4,2,0,0],[2,0,0],[2,0],[2]]=>2
[[4,2,0,0],[2,1,0],[1,1],[1]]=>1
[[4,2,0,0],[2,0,0],[2,0],[1]]=>1
[[4,2,0,0],[2,1,0],[1,0],[1]]=>1
[[4,2,0,0],[2,0,0],[1,0],[1]]=>1
[[4,2,0,0],[2,0,0],[2,0],[0]]=>0
[[4,2,0,0],[2,1,0],[1,0],[0]]=>0
[[4,2,0,0],[2,0,0],[1,0],[0]]=>0
[[4,2,0,0],[2,0,0],[0,0],[0]]=>0
[[4,1,1,0],[4,1,0],[4,1],[4]]=>4
[[4,1,1,0],[4,1,0],[4,0],[4]]=>4
[[4,1,1,0],[4,1,0],[4,1],[3]]=>3
[[4,1,1,0],[4,1,0],[4,0],[3]]=>3
[[4,1,1,0],[4,1,0],[3,1],[3]]=>3
[[4,1,1,0],[3,1,1],[3,1],[3]]=>3
[[4,1,1,0],[3,1,0],[3,1],[3]]=>3
[[4,1,1,0],[4,1,0],[3,0],[3]]=>3
[[4,1,1,0],[3,1,0],[3,0],[3]]=>3
[[4,1,1,0],[4,1,0],[4,1],[2]]=>2
[[4,1,1,0],[4,1,0],[4,0],[2]]=>2
[[4,1,1,0],[4,1,0],[3,1],[2]]=>2
[[4,1,1,0],[3,1,1],[3,1],[2]]=>2
[[4,1,1,0],[3,1,0],[3,1],[2]]=>2
[[4,1,1,0],[4,1,0],[3,0],[2]]=>2
[[4,1,1,0],[4,1,0],[2,1],[2]]=>2
[[4,1,1,0],[3,1,1],[2,1],[2]]=>2
[[4,1,1,0],[3,1,0],[3,0],[2]]=>2
[[4,1,1,0],[3,1,0],[2,1],[2]]=>2
[[4,1,1,0],[2,1,1],[2,1],[2]]=>2
[[4,1,1,0],[2,1,0],[2,1],[2]]=>2
[[4,1,1,0],[4,1,0],[2,0],[2]]=>2
[[4,1,1,0],[3,1,0],[2,0],[2]]=>2
[[4,1,1,0],[2,1,0],[2,0],[2]]=>2
[[4,1,1,0],[4,1,0],[4,1],[1]]=>1
[[4,1,1,0],[4,1,0],[4,0],[1]]=>1
[[4,1,1,0],[4,1,0],[3,1],[1]]=>1
[[4,1,1,0],[3,1,1],[3,1],[1]]=>1
[[4,1,1,0],[3,1,0],[3,1],[1]]=>1
[[4,1,1,0],[4,1,0],[3,0],[1]]=>1
[[4,1,1,0],[4,1,0],[2,1],[1]]=>1
[[4,1,1,0],[3,1,1],[2,1],[1]]=>1
[[4,1,1,0],[3,1,0],[3,0],[1]]=>1
[[4,1,1,0],[3,1,0],[2,1],[1]]=>1
[[4,1,1,0],[2,1,1],[2,1],[1]]=>1
[[4,1,1,0],[2,1,0],[2,1],[1]]=>1
[[4,1,1,0],[4,1,0],[2,0],[1]]=>1
[[4,1,1,0],[4,1,0],[1,1],[1]]=>1
[[4,1,1,0],[3,1,1],[1,1],[1]]=>1
[[4,1,1,0],[3,1,0],[2,0],[1]]=>1
[[4,1,1,0],[3,1,0],[1,1],[1]]=>1
[[4,1,1,0],[2,1,1],[1,1],[1]]=>1
[[4,1,1,0],[2,1,0],[2,0],[1]]=>1
[[4,1,1,0],[2,1,0],[1,1],[1]]=>1
[[4,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,1,1,0],[1,1,0],[1,1],[1]]=>1
[[4,1,1,0],[4,1,0],[1,0],[1]]=>1
[[4,1,1,0],[3,1,0],[1,0],[1]]=>1
[[4,1,1,0],[2,1,0],[1,0],[1]]=>1
[[4,1,1,0],[1,1,0],[1,0],[1]]=>1
[[4,1,1,0],[4,1,0],[4,0],[0]]=>0
[[4,1,1,0],[4,1,0],[3,0],[0]]=>0
[[4,1,1,0],[3,1,0],[3,0],[0]]=>0
[[4,1,1,0],[4,1,0],[2,0],[0]]=>0
[[4,1,1,0],[3,1,0],[2,0],[0]]=>0
[[4,1,1,0],[2,1,0],[2,0],[0]]=>0
[[4,1,1,0],[4,1,0],[1,0],[0]]=>0
[[4,1,1,0],[3,1,0],[1,0],[0]]=>0
[[4,1,1,0],[2,1,0],[1,0],[0]]=>0
[[4,1,1,0],[1,1,0],[1,0],[0]]=>0
[[3,3,0,0],[3,2,0],[3,2],[3]]=>3
[[3,3,0,0],[3,2,0],[3,1],[3]]=>3
[[3,3,0,0],[3,1,0],[3,1],[3]]=>3
[[3,3,0,0],[3,2,0],[3,0],[3]]=>3
[[3,3,0,0],[3,1,0],[3,0],[3]]=>3
[[3,3,0,0],[3,0,0],[3,0],[3]]=>3
[[3,3,0,0],[3,2,0],[3,2],[2]]=>2
[[3,3,0,0],[3,2,0],[3,1],[2]]=>2
[[3,3,0,0],[3,2,0],[2,2],[2]]=>2
[[3,3,0,0],[3,1,0],[3,1],[2]]=>2
[[3,3,0,0],[3,2,0],[3,0],[2]]=>2
[[3,3,0,0],[3,2,0],[2,1],[2]]=>2
[[3,3,0,0],[3,1,0],[3,0],[2]]=>2
[[3,3,0,0],[3,1,0],[2,1],[2]]=>2
[[3,3,0,0],[3,0,0],[3,0],[2]]=>2
[[3,3,0,0],[3,2,0],[2,0],[2]]=>2
[[3,3,0,0],[3,1,0],[2,0],[2]]=>2
[[3,3,0,0],[3,0,0],[2,0],[2]]=>2
[[3,3,0,0],[3,2,0],[3,1],[1]]=>1
[[3,3,0,0],[3,1,0],[3,1],[1]]=>1
[[3,3,0,0],[3,2,0],[3,0],[1]]=>1
[[3,3,0,0],[3,2,0],[2,1],[1]]=>1
[[3,3,0,0],[3,1,0],[3,0],[1]]=>1
[[3,3,0,0],[3,1,0],[2,1],[1]]=>1
[[3,3,0,0],[3,0,0],[3,0],[1]]=>1
[[3,3,0,0],[3,2,0],[2,0],[1]]=>1
[[3,3,0,0],[3,1,0],[2,0],[1]]=>1
[[3,3,0,0],[3,1,0],[1,1],[1]]=>1
[[3,3,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,0,0],[3,1,0],[1,0],[1]]=>1
[[3,3,0,0],[3,0,0],[1,0],[1]]=>1
[[3,3,0,0],[3,2,0],[3,0],[0]]=>0
[[3,3,0,0],[3,1,0],[3,0],[0]]=>0
[[3,3,0,0],[3,0,0],[3,0],[0]]=>0
[[3,3,0,0],[3,2,0],[2,0],[0]]=>0
[[3,3,0,0],[3,1,0],[2,0],[0]]=>0
[[3,3,0,0],[3,0,0],[2,0],[0]]=>0
[[3,3,0,0],[3,1,0],[1,0],[0]]=>0
[[3,3,0,0],[3,0,0],[1,0],[0]]=>0
[[3,3,0,0],[3,0,0],[0,0],[0]]=>0
[[3,2,1,0],[3,2,0],[3,2],[3]]=>3
[[3,2,1,0],[3,2,0],[3,1],[3]]=>3
[[3,2,1,0],[3,1,1],[3,1],[3]]=>3
[[3,2,1,0],[3,1,0],[3,1],[3]]=>3
[[3,2,1,0],[3,2,0],[3,0],[3]]=>3
[[3,2,1,0],[3,1,0],[3,0],[3]]=>3
[[3,2,1,0],[3,2,0],[3,2],[2]]=>2
[[3,2,1,0],[3,2,0],[3,1],[2]]=>2
[[3,2,1,0],[3,1,1],[3,1],[2]]=>2
[[3,2,1,0],[3,2,0],[2,2],[2]]=>2
[[3,2,1,0],[2,2,1],[2,2],[2]]=>2
[[3,2,1,0],[3,1,0],[3,1],[2]]=>2
[[3,2,1,0],[2,2,0],[2,2],[2]]=>2
[[3,2,1,0],[3,2,0],[3,0],[2]]=>2
[[3,2,1,0],[3,2,0],[2,1],[2]]=>2
[[3,2,1,0],[3,1,1],[2,1],[2]]=>2
[[3,2,1,0],[2,2,1],[2,1],[2]]=>2
[[3,2,1,0],[3,1,0],[3,0],[2]]=>2
[[3,2,1,0],[3,1,0],[2,1],[2]]=>2
[[3,2,1,0],[2,2,0],[2,1],[2]]=>2
[[3,2,1,0],[2,1,1],[2,1],[2]]=>2
[[3,2,1,0],[2,1,0],[2,1],[2]]=>2
[[3,2,1,0],[3,2,0],[2,0],[2]]=>2
[[3,2,1,0],[3,1,0],[2,0],[2]]=>2
[[3,2,1,0],[2,2,0],[2,0],[2]]=>2
[[3,2,1,0],[2,1,0],[2,0],[2]]=>2
[[3,2,1,0],[3,2,0],[3,1],[1]]=>1
[[3,2,1,0],[3,1,1],[3,1],[1]]=>1
[[3,2,1,0],[3,1,0],[3,1],[1]]=>1
[[3,2,1,0],[3,2,0],[3,0],[1]]=>1
[[3,2,1,0],[3,2,0],[2,1],[1]]=>1
[[3,2,1,0],[3,1,1],[2,1],[1]]=>1
[[3,2,1,0],[2,2,1],[2,1],[1]]=>1
[[3,2,1,0],[3,1,0],[3,0],[1]]=>1
[[3,2,1,0],[3,1,0],[2,1],[1]]=>1
[[3,2,1,0],[2,2,0],[2,1],[1]]=>1
[[3,2,1,0],[2,1,1],[2,1],[1]]=>1
[[3,2,1,0],[2,1,0],[2,1],[1]]=>1
[[3,2,1,0],[3,2,0],[2,0],[1]]=>1
[[3,2,1,0],[3,1,1],[1,1],[1]]=>1
[[3,2,1,0],[3,1,0],[2,0],[1]]=>1
[[3,2,1,0],[2,2,0],[2,0],[1]]=>1
[[3,2,1,0],[3,1,0],[1,1],[1]]=>1
[[3,2,1,0],[2,1,1],[1,1],[1]]=>1
[[3,2,1,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0],[3,1,0],[1,0],[1]]=>1
[[3,2,1,0],[2,1,0],[1,0],[1]]=>1
[[3,2,1,0],[3,2,0],[3,0],[0]]=>0
[[3,2,1,0],[3,1,0],[3,0],[0]]=>0
[[3,2,1,0],[3,2,0],[2,0],[0]]=>0
[[3,2,1,0],[3,1,0],[2,0],[0]]=>0
[[3,2,1,0],[2,2,0],[2,0],[0]]=>0
[[3,2,1,0],[2,1,0],[2,0],[0]]=>0
[[3,2,1,0],[3,1,0],[1,0],[0]]=>0
[[3,2,1,0],[2,1,0],[1,0],[0]]=>0
[[3,1,1,1],[3,1,1],[3,1],[3]]=>3
[[3,1,1,1],[3,1,1],[3,1],[2]]=>2
[[3,1,1,1],[3,1,1],[2,1],[2]]=>2
[[3,1,1,1],[2,1,1],[2,1],[2]]=>2
[[3,1,1,1],[3,1,1],[3,1],[1]]=>1
[[3,1,1,1],[3,1,1],[2,1],[1]]=>1
[[3,1,1,1],[2,1,1],[2,1],[1]]=>1
[[3,1,1,1],[3,1,1],[1,1],[1]]=>1
[[3,1,1,1],[2,1,1],[1,1],[1]]=>1
[[3,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,2,0],[2,2,1],[2,2],[2]]=>2
[[2,2,2,0],[2,2,0],[2,2],[2]]=>2
[[2,2,2,0],[2,2,1],[2,1],[2]]=>2
[[2,2,2,0],[2,2,0],[2,1],[2]]=>2
[[2,2,2,0],[2,2,0],[2,0],[2]]=>2
[[2,2,2,0],[2,2,1],[2,1],[1]]=>1
[[2,2,2,0],[2,2,0],[2,1],[1]]=>1
[[2,2,2,0],[2,2,0],[2,0],[1]]=>1
[[2,2,2,0],[2,2,0],[2,0],[0]]=>0
[[2,2,1,1],[2,2,1],[2,2],[2]]=>2
[[2,2,1,1],[2,2,1],[2,1],[2]]=>2
[[2,2,1,1],[2,1,1],[2,1],[2]]=>2
[[2,2,1,1],[2,2,1],[2,1],[1]]=>1
[[2,2,1,1],[2,1,1],[2,1],[1]]=>1
[[2,2,1,1],[2,1,1],[1,1],[1]]=>1
[[4,3,2,1],[4,3,2],[4,3],[4]]=>4
[[4,3,2,1],[4,3,2],[4,3],[3]]=>3
[[4,3,2,1],[4,3,2],[4,2],[4]]=>4
[[4,3,2,1],[4,3,2],[4,2],[3]]=>3
[[4,3,2,1],[4,3,2],[3,2],[3]]=>3
[[4,3,2,1],[4,3,2],[4,2],[2]]=>2
[[4,3,2,1],[4,3,2],[3,2],[2]]=>2
[[4,3,2,1],[4,3,1],[4,3],[4]]=>4
[[4,3,2,1],[4,3,1],[4,3],[3]]=>3
[[4,3,2,1],[4,3,1],[4,2],[4]]=>4
[[4,3,2,1],[4,3,1],[4,2],[3]]=>3
[[4,3,2,1],[4,3,1],[3,2],[3]]=>3
[[4,3,2,1],[4,3,1],[4,2],[2]]=>2
[[4,3,2,1],[4,3,1],[3,2],[2]]=>2
[[4,3,2,1],[4,2,1],[4,2],[4]]=>4
[[4,3,2,1],[4,2,1],[4,2],[3]]=>3
[[4,3,2,1],[4,2,1],[3,2],[3]]=>3
[[4,3,2,1],[3,2,1],[3,2],[3]]=>3
[[4,3,2,1],[4,2,1],[4,2],[2]]=>2
[[4,3,2,1],[4,2,1],[3,2],[2]]=>2
[[4,3,2,1],[3,2,1],[3,2],[2]]=>2
[[4,3,2,1],[4,3,1],[4,1],[4]]=>4
[[4,3,2,1],[4,3,1],[4,1],[3]]=>3
[[4,3,2,1],[4,3,1],[3,1],[3]]=>3
[[4,3,2,1],[4,3,1],[4,1],[2]]=>2
[[4,3,2,1],[4,3,1],[3,1],[2]]=>2
[[4,3,2,1],[4,2,1],[4,1],[4]]=>4
[[4,3,2,1],[4,2,1],[4,1],[3]]=>3
[[4,3,2,1],[4,2,1],[3,1],[3]]=>3
[[4,3,2,1],[3,2,1],[3,1],[3]]=>3
[[4,3,2,1],[4,2,1],[4,1],[2]]=>2
[[4,3,2,1],[4,2,1],[3,1],[2]]=>2
[[4,3,2,1],[3,2,1],[3,1],[2]]=>2
[[4,3,2,1],[4,2,1],[2,1],[2]]=>2
[[4,3,2,1],[3,2,1],[2,1],[2]]=>2
[[4,3,2,1],[4,3,1],[4,1],[1]]=>1
[[4,3,2,1],[4,3,1],[3,1],[1]]=>1
[[4,3,2,1],[4,2,1],[4,1],[1]]=>1
[[4,3,2,1],[4,2,1],[3,1],[1]]=>1
[[4,3,2,1],[3,2,1],[3,1],[1]]=>1
[[4,3,2,1],[4,2,1],[2,1],[1]]=>1
[[4,3,2,1],[3,2,1],[2,1],[1]]=>1
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>0
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>1
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>0
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>0
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>0
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>0
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>1
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>2
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>2
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>1
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>2
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>3
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>0
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>0
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>0
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>1
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>2
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>2
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>1
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>2
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>0
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>0
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>0
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>1
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>1
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>1
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>1
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>0
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>1
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>1
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>1
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>1
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>1
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>1
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>1
[[0,0],[0]]=>0
[[0,0,0],[0,0],[0]]=>0
[[3,3,2],[3,2],[2]]=>2
[[3,3,2],[3,2],[3]]=>3
[[3,3,2],[3,3],[3]]=>3
[[3,3,3],[3,3],[3]]=>3
[[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,2,2,0],[2,2,2],[2,2],[2]]=>2
[[2,2,2,1],[2,2,1],[2,1],[1]]=>1
[[2,2,2,1],[2,2,1],[2,1],[2]]=>2
[[2,2,2,1],[2,2,1],[2,2],[2]]=>2
[[2,2,2,1],[2,2,2],[2,2],[2]]=>2
[[2,2,2,2],[2,2,2],[2,2],[2]]=>2
[[3,2,1,0],[3,2,1],[2,1],[1]]=>1
[[3,2,1,0],[3,2,1],[2,1],[2]]=>2
[[3,2,1,0],[3,2,1],[2,2],[2]]=>2
[[3,2,1,0],[3,2,1],[3,1],[1]]=>1
[[3,2,1,0],[3,2,1],[3,1],[2]]=>2
[[3,2,1,0],[3,2,1],[3,1],[3]]=>3
[[3,2,1,0],[3,2,1],[3,2],[2]]=>2
[[3,2,1,0],[3,2,1],[3,2],[3]]=>3
[[3,2,1,1],[2,1,1],[1,1],[1]]=>1
[[3,2,1,1],[2,1,1],[2,1],[1]]=>1
[[3,2,1,1],[2,1,1],[2,1],[2]]=>2
[[3,2,1,1],[2,2,1],[2,1],[1]]=>1
[[3,2,1,1],[2,2,1],[2,1],[2]]=>2
[[3,2,1,1],[2,2,1],[2,2],[2]]=>2
[[3,2,1,1],[3,1,1],[1,1],[1]]=>1
[[3,2,1,1],[3,1,1],[2,1],[1]]=>1
[[3,2,1,1],[3,1,1],[2,1],[2]]=>2
[[3,2,1,1],[3,1,1],[3,1],[1]]=>1
[[3,2,1,1],[3,1,1],[3,1],[2]]=>2
[[3,2,1,1],[3,1,1],[3,1],[3]]=>3
[[3,2,1,1],[3,2,1],[2,1],[1]]=>1
[[3,2,1,1],[3,2,1],[2,1],[2]]=>2
[[3,2,1,1],[3,2,1],[2,2],[2]]=>2
[[3,2,1,1],[3,2,1],[3,1],[1]]=>1
[[3,2,1,1],[3,2,1],[3,1],[2]]=>2
[[3,2,1,1],[3,2,1],[3,1],[3]]=>3
[[3,2,1,1],[3,2,1],[3,2],[2]]=>2
[[3,2,1,1],[3,2,1],[3,2],[3]]=>3
[[3,2,2,0],[2,2,0],[2,0],[0]]=>0
[[3,2,2,0],[2,2,0],[2,0],[1]]=>1
[[3,2,2,0],[2,2,0],[2,0],[2]]=>2
[[3,2,2,0],[2,2,0],[2,1],[1]]=>1
[[3,2,2,0],[2,2,0],[2,1],[2]]=>2
[[3,2,2,0],[2,2,0],[2,2],[2]]=>2
[[3,2,2,0],[2,2,1],[2,1],[1]]=>1
[[3,2,2,0],[2,2,1],[2,1],[2]]=>2
[[3,2,2,0],[2,2,1],[2,2],[2]]=>2
[[3,2,2,0],[2,2,2],[2,2],[2]]=>2
[[3,2,2,0],[3,2,0],[2,0],[0]]=>0
[[3,2,2,0],[3,2,0],[2,0],[1]]=>1
[[3,2,2,0],[3,2,0],[2,0],[2]]=>2
[[3,2,2,0],[3,2,0],[2,1],[1]]=>1
[[3,2,2,0],[3,2,0],[2,1],[2]]=>2
[[3,2,2,0],[3,2,0],[2,2],[2]]=>2
[[3,2,2,0],[3,2,0],[3,0],[0]]=>0
[[3,2,2,0],[3,2,0],[3,0],[1]]=>1
[[3,2,2,0],[3,2,0],[3,0],[2]]=>2
[[3,2,2,0],[3,2,0],[3,0],[3]]=>3
[[3,2,2,0],[3,2,0],[3,1],[1]]=>1
[[3,2,2,0],[3,2,0],[3,1],[2]]=>2
[[3,2,2,0],[3,2,0],[3,1],[3]]=>3
[[3,2,2,0],[3,2,0],[3,2],[2]]=>2
[[3,2,2,0],[3,2,0],[3,2],[3]]=>3
[[3,2,2,0],[3,2,1],[2,1],[1]]=>1
[[3,2,2,0],[3,2,1],[2,1],[2]]=>2
[[3,2,2,0],[3,2,1],[2,2],[2]]=>2
[[3,2,2,0],[3,2,1],[3,1],[1]]=>1
[[3,2,2,0],[3,2,1],[3,1],[2]]=>2
[[3,2,2,0],[3,2,1],[3,1],[3]]=>3
[[3,2,2,0],[3,2,1],[3,2],[2]]=>2
[[3,2,2,0],[3,2,1],[3,2],[3]]=>3
[[3,2,2,0],[3,2,2],[2,2],[2]]=>2
[[3,2,2,0],[3,2,2],[3,2],[2]]=>2
[[3,2,2,0],[3,2,2],[3,2],[3]]=>3
[[3,2,2,1],[2,2,1],[2,1],[1]]=>1
[[3,2,2,1],[2,2,1],[2,1],[2]]=>2
[[3,2,2,1],[2,2,1],[2,2],[2]]=>2
[[3,2,2,1],[2,2,2],[2,2],[2]]=>2
[[3,2,2,1],[3,2,1],[2,1],[1]]=>1
[[3,2,2,1],[3,2,1],[2,1],[2]]=>2
[[3,2,2,1],[3,2,1],[2,2],[2]]=>2
[[3,2,2,1],[3,2,1],[3,1],[1]]=>1
[[3,2,2,1],[3,2,1],[3,1],[2]]=>2
[[3,2,2,1],[3,2,1],[3,1],[3]]=>3
[[3,2,2,1],[3,2,1],[3,2],[2]]=>2
[[3,2,2,1],[3,2,1],[3,2],[3]]=>3
[[3,2,2,1],[3,2,2],[2,2],[2]]=>2
[[3,2,2,1],[3,2,2],[3,2],[2]]=>2
[[3,2,2,1],[3,2,2],[3,2],[3]]=>3
[[3,2,2,2],[2,2,2],[2,2],[2]]=>2
[[3,2,2,2],[3,2,2],[2,2],[2]]=>2
[[3,2,2,2],[3,2,2],[3,2],[2]]=>2
[[3,2,2,2],[3,2,2],[3,2],[3]]=>3
[[3,3,0,0],[3,3,0],[3,0],[0]]=>0
[[3,3,0,0],[3,3,0],[3,0],[1]]=>1
[[3,3,0,0],[3,3,0],[3,0],[2]]=>2
[[3,3,0,0],[3,3,0],[3,0],[3]]=>3
[[3,3,0,0],[3,3,0],[3,1],[1]]=>1
[[3,3,0,0],[3,3,0],[3,1],[2]]=>2
[[3,3,0,0],[3,3,0],[3,1],[3]]=>3
[[3,3,0,0],[3,3,0],[3,2],[2]]=>2
[[3,3,0,0],[3,3,0],[3,2],[3]]=>3
[[3,3,0,0],[3,3,0],[3,3],[3]]=>3
[[3,3,1,0],[3,1,0],[1,0],[0]]=>0
[[3,3,1,0],[3,1,0],[1,0],[1]]=>1
[[3,3,1,0],[3,1,0],[1,1],[1]]=>1
[[3,3,1,0],[3,1,0],[2,0],[0]]=>0
[[3,3,1,0],[3,1,0],[2,0],[1]]=>1
[[3,3,1,0],[3,1,0],[2,0],[2]]=>2
[[3,3,1,0],[3,1,0],[2,1],[1]]=>1
[[3,3,1,0],[3,1,0],[2,1],[2]]=>2
[[3,3,1,0],[3,1,0],[3,0],[0]]=>0
[[3,3,1,0],[3,1,0],[3,0],[1]]=>1
[[3,3,1,0],[3,1,0],[3,0],[2]]=>2
[[3,3,1,0],[3,1,0],[3,0],[3]]=>3
[[3,3,1,0],[3,1,0],[3,1],[1]]=>1
[[3,3,1,0],[3,1,0],[3,1],[2]]=>2
[[3,3,1,0],[3,1,0],[3,1],[3]]=>3
[[3,3,1,0],[3,1,1],[1,1],[1]]=>1
[[3,3,1,0],[3,1,1],[2,1],[1]]=>1
[[3,3,1,0],[3,1,1],[2,1],[2]]=>2
[[3,3,1,0],[3,1,1],[3,1],[1]]=>1
[[3,3,1,0],[3,1,1],[3,1],[2]]=>2
[[3,3,1,0],[3,1,1],[3,1],[3]]=>3
[[3,3,1,0],[3,2,0],[2,0],[0]]=>0
[[3,3,1,0],[3,2,0],[2,0],[1]]=>1
[[3,3,1,0],[3,2,0],[2,0],[2]]=>2
[[3,3,1,0],[3,2,0],[2,1],[1]]=>1
[[3,3,1,0],[3,2,0],[2,1],[2]]=>2
[[3,3,1,0],[3,2,0],[2,2],[2]]=>2
[[3,3,1,0],[3,2,0],[3,0],[0]]=>0
[[3,3,1,0],[3,2,0],[3,0],[1]]=>1
[[3,3,1,0],[3,2,0],[3,0],[2]]=>2
[[3,3,1,0],[3,2,0],[3,0],[3]]=>3
[[3,3,1,0],[3,2,0],[3,1],[1]]=>1
[[3,3,1,0],[3,2,0],[3,1],[2]]=>2
[[3,3,1,0],[3,2,0],[3,1],[3]]=>3
[[3,3,1,0],[3,2,0],[3,2],[2]]=>2
[[3,3,1,0],[3,2,0],[3,2],[3]]=>3
[[3,3,1,0],[3,2,1],[2,1],[1]]=>1
[[3,3,1,0],[3,2,1],[2,1],[2]]=>2
[[3,3,1,0],[3,2,1],[2,2],[2]]=>2
[[3,3,1,0],[3,2,1],[3,1],[1]]=>1
[[3,3,1,0],[3,2,1],[3,1],[2]]=>2
[[3,3,1,0],[3,2,1],[3,1],[3]]=>3
[[3,3,1,0],[3,2,1],[3,2],[2]]=>2
[[3,3,1,0],[3,2,1],[3,2],[3]]=>3
[[3,3,1,0],[3,3,0],[3,0],[0]]=>0
[[3,3,1,0],[3,3,0],[3,0],[1]]=>1
[[3,3,1,0],[3,3,0],[3,0],[2]]=>2
[[3,3,1,0],[3,3,0],[3,0],[3]]=>3
[[3,3,1,0],[3,3,0],[3,1],[1]]=>1
[[3,3,1,0],[3,3,0],[3,1],[2]]=>2
[[3,3,1,0],[3,3,0],[3,1],[3]]=>3
[[3,3,1,0],[3,3,0],[3,2],[2]]=>2
[[3,3,1,0],[3,3,0],[3,2],[3]]=>3
[[3,3,1,0],[3,3,0],[3,3],[3]]=>3
[[3,3,1,0],[3,3,1],[3,1],[1]]=>1
[[3,3,1,0],[3,3,1],[3,1],[2]]=>2
[[3,3,1,0],[3,3,1],[3,1],[3]]=>3
[[3,3,1,0],[3,3,1],[3,2],[2]]=>2
[[3,3,1,0],[3,3,1],[3,2],[3]]=>3
[[3,3,1,0],[3,3,1],[3,3],[3]]=>3
[[3,3,1,1],[3,1,1],[1,1],[1]]=>1
[[3,3,1,1],[3,1,1],[2,1],[1]]=>1
[[3,3,1,1],[3,1,1],[2,1],[2]]=>2
[[3,3,1,1],[3,1,1],[3,1],[1]]=>1
[[3,3,1,1],[3,1,1],[3,1],[2]]=>2
[[3,3,1,1],[3,1,1],[3,1],[3]]=>3
[[3,3,1,1],[3,2,1],[2,1],[1]]=>1
[[3,3,1,1],[3,2,1],[2,1],[2]]=>2
[[3,3,1,1],[3,2,1],[2,2],[2]]=>2
[[3,3,1,1],[3,2,1],[3,1],[1]]=>1
[[3,3,1,1],[3,2,1],[3,1],[2]]=>2
[[3,3,1,1],[3,2,1],[3,1],[3]]=>3
[[3,3,1,1],[3,2,1],[3,2],[2]]=>2
[[3,3,1,1],[3,2,1],[3,2],[3]]=>3
[[3,3,1,1],[3,3,1],[3,1],[1]]=>1
[[3,3,1,1],[3,3,1],[3,1],[2]]=>2
[[3,3,1,1],[3,3,1],[3,1],[3]]=>3
[[3,3,1,1],[3,3,1],[3,2],[2]]=>2
[[3,3,1,1],[3,3,1],[3,2],[3]]=>3
[[3,3,1,1],[3,3,1],[3,3],[3]]=>3
[[3,3,2,0],[3,2,0],[2,0],[0]]=>0
[[3,3,2,0],[3,2,0],[2,0],[1]]=>1
[[3,3,2,0],[3,2,0],[2,0],[2]]=>2
[[3,3,2,0],[3,2,0],[2,1],[1]]=>1
[[3,3,2,0],[3,2,0],[2,1],[2]]=>2
[[3,3,2,0],[3,2,0],[2,2],[2]]=>2
[[3,3,2,0],[3,2,0],[3,0],[0]]=>0
[[3,3,2,0],[3,2,0],[3,0],[1]]=>1
[[3,3,2,0],[3,2,0],[3,0],[2]]=>2
[[3,3,2,0],[3,2,0],[3,0],[3]]=>3
[[3,3,2,0],[3,2,0],[3,1],[1]]=>1
[[3,3,2,0],[3,2,0],[3,1],[2]]=>2
[[3,3,2,0],[3,2,0],[3,1],[3]]=>3
[[3,3,2,0],[3,2,0],[3,2],[2]]=>2
[[3,3,2,0],[3,2,0],[3,2],[3]]=>3
[[3,3,2,0],[3,2,1],[2,1],[1]]=>1
[[3,3,2,0],[3,2,1],[2,1],[2]]=>2
[[3,3,2,0],[3,2,1],[2,2],[2]]=>2
[[3,3,2,0],[3,2,1],[3,1],[1]]=>1
[[3,3,2,0],[3,2,1],[3,1],[2]]=>2
[[3,3,2,0],[3,2,1],[3,1],[3]]=>3
[[3,3,2,0],[3,2,1],[3,2],[2]]=>2
[[3,3,2,0],[3,2,1],[3,2],[3]]=>3
[[3,3,2,0],[3,2,2],[2,2],[2]]=>2
[[3,3,2,0],[3,2,2],[3,2],[2]]=>2
[[3,3,2,0],[3,2,2],[3,2],[3]]=>3
[[3,3,2,0],[3,3,0],[3,0],[0]]=>0
[[3,3,2,0],[3,3,0],[3,0],[1]]=>1
[[3,3,2,0],[3,3,0],[3,0],[2]]=>2
[[3,3,2,0],[3,3,0],[3,0],[3]]=>3
[[3,3,2,0],[3,3,0],[3,1],[1]]=>1
[[3,3,2,0],[3,3,0],[3,1],[2]]=>2
[[3,3,2,0],[3,3,0],[3,1],[3]]=>3
[[3,3,2,0],[3,3,0],[3,2],[2]]=>2
[[3,3,2,0],[3,3,0],[3,2],[3]]=>3
[[3,3,2,0],[3,3,0],[3,3],[3]]=>3
[[3,3,2,0],[3,3,1],[3,1],[1]]=>1
[[3,3,2,0],[3,3,1],[3,1],[2]]=>2
[[3,3,2,0],[3,3,1],[3,1],[3]]=>3
[[3,3,2,0],[3,3,1],[3,2],[2]]=>2
[[3,3,2,0],[3,3,1],[3,2],[3]]=>3
[[3,3,2,0],[3,3,1],[3,3],[3]]=>3
[[3,3,2,0],[3,3,2],[3,2],[2]]=>2
[[3,3,2,0],[3,3,2],[3,2],[3]]=>3
[[3,3,2,0],[3,3,2],[3,3],[3]]=>3
[[3,3,2,1],[3,2,1],[2,1],[1]]=>1
[[3,3,2,1],[3,2,1],[2,1],[2]]=>2
[[3,3,2,1],[3,2,1],[2,2],[2]]=>2
[[3,3,2,1],[3,2,1],[3,1],[1]]=>1
[[3,3,2,1],[3,2,1],[3,1],[2]]=>2
[[3,3,2,1],[3,2,1],[3,1],[3]]=>3
[[3,3,2,1],[3,2,1],[3,2],[2]]=>2
[[3,3,2,1],[3,2,1],[3,2],[3]]=>3
[[3,3,2,1],[3,2,2],[2,2],[2]]=>2
[[3,3,2,1],[3,2,2],[3,2],[2]]=>2
[[3,3,2,1],[3,2,2],[3,2],[3]]=>3
[[3,3,2,1],[3,3,1],[3,1],[1]]=>1
[[3,3,2,1],[3,3,1],[3,1],[2]]=>2
[[3,3,2,1],[3,3,1],[3,1],[3]]=>3
[[3,3,2,1],[3,3,1],[3,2],[2]]=>2
[[3,3,2,1],[3,3,1],[3,2],[3]]=>3
[[3,3,2,1],[3,3,1],[3,3],[3]]=>3
[[3,3,2,1],[3,3,2],[3,2],[2]]=>2
[[3,3,2,1],[3,3,2],[3,2],[3]]=>3
[[3,3,2,1],[3,3,2],[3,3],[3]]=>3
[[3,3,2,2],[3,2,2],[2,2],[2]]=>2
[[3,3,2,2],[3,2,2],[3,2],[2]]=>2
[[3,3,2,2],[3,2,2],[3,2],[3]]=>3
[[3,3,2,2],[3,3,2],[3,2],[2]]=>2
[[3,3,2,2],[3,3,2],[3,2],[3]]=>3
[[3,3,2,2],[3,3,2],[3,3],[3]]=>3
[[3,3,3,0],[3,3,0],[3,0],[0]]=>0
[[3,3,3,0],[3,3,0],[3,0],[1]]=>1
[[3,3,3,0],[3,3,0],[3,0],[2]]=>2
[[3,3,3,0],[3,3,0],[3,0],[3]]=>3
[[3,3,3,0],[3,3,0],[3,1],[1]]=>1
[[3,3,3,0],[3,3,0],[3,1],[2]]=>2
[[3,3,3,0],[3,3,0],[3,1],[3]]=>3
[[3,3,3,0],[3,3,0],[3,2],[2]]=>2
[[3,3,3,0],[3,3,0],[3,2],[3]]=>3
[[3,3,3,0],[3,3,0],[3,3],[3]]=>3
[[3,3,3,0],[3,3,1],[3,1],[1]]=>1
[[3,3,3,0],[3,3,1],[3,1],[2]]=>2
[[3,3,3,0],[3,3,1],[3,1],[3]]=>3
[[3,3,3,0],[3,3,1],[3,2],[2]]=>2
[[3,3,3,0],[3,3,1],[3,2],[3]]=>3
[[3,3,3,0],[3,3,1],[3,3],[3]]=>3
[[3,3,3,0],[3,3,2],[3,2],[2]]=>2
[[3,3,3,0],[3,3,2],[3,2],[3]]=>3
[[3,3,3,0],[3,3,2],[3,3],[3]]=>3
[[3,3,3,0],[3,3,3],[3,3],[3]]=>3
[[3,3,3,1],[3,3,1],[3,1],[1]]=>1
[[3,3,3,1],[3,3,1],[3,1],[2]]=>2
[[3,3,3,1],[3,3,1],[3,1],[3]]=>3
[[3,3,3,1],[3,3,1],[3,2],[2]]=>2
[[3,3,3,1],[3,3,1],[3,2],[3]]=>3
[[3,3,3,1],[3,3,1],[3,3],[3]]=>3
[[3,3,3,1],[3,3,2],[3,2],[2]]=>2
[[3,3,3,1],[3,3,2],[3,2],[3]]=>3
[[3,3,3,1],[3,3,2],[3,3],[3]]=>3
[[3,3,3,1],[3,3,3],[3,3],[3]]=>3
[[3,3,3,2],[3,3,2],[3,2],[2]]=>2
[[3,3,3,2],[3,3,2],[3,2],[3]]=>3
[[3,3,3,2],[3,3,2],[3,3],[3]]=>3
[[3,3,3,2],[3,3,3],[3,3],[3]]=>3
[[3,3,3,3],[3,3,3],[3,3],[3]]=>3
[[4,1,1,0],[4,1,1],[1,1],[1]]=>1
[[4,1,1,0],[4,1,1],[2,1],[1]]=>1
[[4,1,1,0],[4,1,1],[2,1],[2]]=>2
[[4,1,1,0],[4,1,1],[3,1],[1]]=>1
[[4,1,1,0],[4,1,1],[3,1],[2]]=>2
[[4,1,1,0],[4,1,1],[3,1],[3]]=>3
[[4,1,1,0],[4,1,1],[4,1],[1]]=>1
[[4,1,1,0],[4,1,1],[4,1],[2]]=>2
[[4,1,1,0],[4,1,1],[4,1],[3]]=>3
[[4,1,1,0],[4,1,1],[4,1],[4]]=>4
[[4,1,1,1],[1,1,1],[1,1],[1]]=>1
[[4,1,1,1],[2,1,1],[1,1],[1]]=>1
[[4,1,1,1],[2,1,1],[2,1],[1]]=>1
[[4,1,1,1],[2,1,1],[2,1],[2]]=>2
[[4,1,1,1],[3,1,1],[1,1],[1]]=>1
[[4,1,1,1],[3,1,1],[2,1],[1]]=>1
[[4,1,1,1],[3,1,1],[2,1],[2]]=>2
[[4,1,1,1],[3,1,1],[3,1],[1]]=>1
[[4,1,1,1],[3,1,1],[3,1],[2]]=>2
[[4,1,1,1],[3,1,1],[3,1],[3]]=>3
[[4,1,1,1],[4,1,1],[1,1],[1]]=>1
[[4,1,1,1],[4,1,1],[2,1],[1]]=>1
[[4,1,1,1],[4,1,1],[2,1],[2]]=>2
[[4,1,1,1],[4,1,1],[3,1],[1]]=>1
[[4,1,1,1],[4,1,1],[3,1],[2]]=>2
[[4,1,1,1],[4,1,1],[3,1],[3]]=>3
[[4,1,1,1],[4,1,1],[4,1],[1]]=>1
[[4,1,1,1],[4,1,1],[4,1],[2]]=>2
[[4,1,1,1],[4,1,1],[4,1],[3]]=>3
[[4,1,1,1],[4,1,1],[4,1],[4]]=>4
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Description
The single entry in the last row.
Code
def statistic(g): return g[-1][0]
Created
Jun 17, 2013 at 11:21 by Jessica Striker
Updated
Feb 23, 2021 at 08:39 by Martin Rubey
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