Identifier
- St000114: Gelfand-Tsetlin patterns ⟶ ℤ
Values
=>
Cc0018;cc-rep
[[1]]=>1
[[2]]=>2
[[3]]=>3
[[4]]=>4
[[5]]=>5
[[1,0],[0]]=>1
[[1,0],[1]]=>2
[[2,0],[0]]=>2
[[2,0],[1]]=>3
[[2,0],[2]]=>4
[[1,1],[1]]=>3
[[3,0],[0]]=>3
[[3,0],[1]]=>4
[[3,0],[2]]=>5
[[3,0],[3]]=>6
[[2,1],[1]]=>4
[[2,1],[2]]=>5
[[4,0],[0]]=>4
[[4,0],[1]]=>5
[[4,0],[2]]=>6
[[4,0],[3]]=>7
[[4,0],[4]]=>8
[[3,1],[1]]=>5
[[3,1],[2]]=>6
[[3,1],[3]]=>7
[[2,2],[2]]=>6
[[5,0],[0]]=>5
[[5,0],[1]]=>6
[[5,0],[2]]=>7
[[5,0],[3]]=>8
[[5,0],[4]]=>9
[[5,0],[5]]=>10
[[4,1],[1]]=>6
[[4,1],[2]]=>7
[[4,1],[3]]=>8
[[4,1],[4]]=>9
[[3,2],[2]]=>7
[[3,2],[3]]=>8
[[6,0],[0]]=>6
[[6,0],[1]]=>7
[[6,0],[2]]=>8
[[6,0],[3]]=>9
[[6,0],[4]]=>10
[[6,0],[5]]=>11
[[6,0],[6]]=>12
[[5,1],[1]]=>7
[[5,1],[2]]=>8
[[5,1],[3]]=>9
[[5,1],[4]]=>10
[[5,1],[5]]=>11
[[4,2],[2]]=>8
[[4,2],[3]]=>9
[[4,2],[4]]=>10
[[3,3],[3]]=>9
[[1,0,0],[0,0],[0]]=>1
[[1,0,0],[1,0],[0]]=>2
[[1,0,0],[1,0],[1]]=>3
[[2,0,0],[0,0],[0]]=>2
[[2,0,0],[1,0],[0]]=>3
[[2,0,0],[1,0],[1]]=>4
[[2,0,0],[2,0],[0]]=>4
[[2,0,0],[2,0],[1]]=>5
[[2,0,0],[2,0],[2]]=>6
[[1,1,0],[1,0],[0]]=>3
[[1,1,0],[1,0],[1]]=>4
[[1,1,0],[1,1],[1]]=>5
[[3,0,0],[0,0],[0]]=>3
[[3,0,0],[1,0],[0]]=>4
[[3,0,0],[1,0],[1]]=>5
[[3,0,0],[2,0],[0]]=>5
[[3,0,0],[2,0],[1]]=>6
[[3,0,0],[2,0],[2]]=>7
[[3,0,0],[3,0],[0]]=>6
[[3,0,0],[3,0],[1]]=>7
[[3,0,0],[3,0],[2]]=>8
[[3,0,0],[3,0],[3]]=>9
[[2,1,0],[1,0],[0]]=>4
[[2,1,0],[1,0],[1]]=>5
[[2,1,0],[1,1],[1]]=>6
[[2,1,0],[2,0],[0]]=>5
[[2,1,0],[2,0],[1]]=>6
[[2,1,0],[2,0],[2]]=>7
[[2,1,0],[2,1],[1]]=>7
[[2,1,0],[2,1],[2]]=>8
[[1,1,1],[1,1],[1]]=>6
[[4,0,0],[0,0],[0]]=>4
[[4,0,0],[1,0],[0]]=>5
[[4,0,0],[1,0],[1]]=>6
[[4,0,0],[2,0],[0]]=>6
[[4,0,0],[2,0],[1]]=>7
[[4,0,0],[2,0],[2]]=>8
[[4,0,0],[3,0],[0]]=>7
[[4,0,0],[3,0],[1]]=>8
[[4,0,0],[3,0],[2]]=>9
[[4,0,0],[3,0],[3]]=>10
[[4,0,0],[4,0],[0]]=>8
[[4,0,0],[4,0],[1]]=>9
[[4,0,0],[4,0],[2]]=>10
[[4,0,0],[4,0],[3]]=>11
[[4,0,0],[4,0],[4]]=>12
[[3,1,0],[1,0],[0]]=>5
[[3,1,0],[1,0],[1]]=>6
[[3,1,0],[1,1],[1]]=>7
[[3,1,0],[2,0],[0]]=>6
[[3,1,0],[2,0],[1]]=>7
[[3,1,0],[2,0],[2]]=>8
[[3,1,0],[2,1],[1]]=>8
[[3,1,0],[2,1],[2]]=>9
[[3,1,0],[3,0],[0]]=>7
[[3,1,0],[3,0],[1]]=>8
[[3,1,0],[3,0],[2]]=>9
[[3,1,0],[3,0],[3]]=>10
[[3,1,0],[3,1],[1]]=>9
[[3,1,0],[3,1],[2]]=>10
[[3,1,0],[3,1],[3]]=>11
[[2,2,0],[2,0],[0]]=>6
[[2,2,0],[2,0],[1]]=>7
[[2,2,0],[2,0],[2]]=>8
[[2,2,0],[2,1],[1]]=>8
[[2,2,0],[2,1],[2]]=>9
[[2,2,0],[2,2],[2]]=>10
[[2,1,1],[1,1],[1]]=>7
[[2,1,1],[2,1],[1]]=>8
[[2,1,1],[2,1],[2]]=>9
[[5,0,0],[0,0],[0]]=>5
[[5,0,0],[1,0],[0]]=>6
[[5,0,0],[1,0],[1]]=>7
[[5,0,0],[2,0],[0]]=>7
[[5,0,0],[2,0],[1]]=>8
[[5,0,0],[2,0],[2]]=>9
[[5,0,0],[3,0],[0]]=>8
[[5,0,0],[3,0],[1]]=>9
[[5,0,0],[3,0],[2]]=>10
[[5,0,0],[3,0],[3]]=>11
[[5,0,0],[4,0],[0]]=>9
[[5,0,0],[4,0],[1]]=>10
[[5,0,0],[4,0],[2]]=>11
[[5,0,0],[4,0],[3]]=>12
[[5,0,0],[4,0],[4]]=>13
[[5,0,0],[5,0],[1]]=>11
[[5,0,0],[5,0],[2]]=>12
[[5,0,0],[5,0],[3]]=>13
[[5,0,0],[5,0],[4]]=>14
[[5,0,0],[5,0],[5]]=>15
[[4,1,0],[1,0],[0]]=>6
[[4,1,0],[1,0],[1]]=>7
[[4,1,0],[1,1],[1]]=>8
[[4,1,0],[2,0],[0]]=>7
[[4,1,0],[2,0],[1]]=>8
[[4,1,0],[2,0],[2]]=>9
[[4,1,0],[2,1],[1]]=>9
[[4,1,0],[2,1],[2]]=>10
[[4,1,0],[3,0],[0]]=>8
[[4,1,0],[3,0],[1]]=>9
[[4,1,0],[3,0],[2]]=>10
[[4,1,0],[3,0],[3]]=>11
[[4,1,0],[3,1],[1]]=>10
[[4,1,0],[3,1],[2]]=>11
[[4,1,0],[3,1],[3]]=>12
[[4,1,0],[4,0],[0]]=>9
[[4,1,0],[4,0],[1]]=>10
[[4,1,0],[4,0],[2]]=>11
[[4,1,0],[4,0],[3]]=>12
[[4,1,0],[4,0],[4]]=>13
[[4,1,0],[4,1],[1]]=>11
[[4,1,0],[4,1],[2]]=>12
[[4,1,0],[4,1],[3]]=>13
[[4,1,0],[4,1],[4]]=>14
[[3,2,0],[2,0],[0]]=>7
[[3,2,0],[2,0],[1]]=>8
[[3,2,0],[2,0],[2]]=>9
[[3,2,0],[2,1],[1]]=>9
[[3,2,0],[2,1],[2]]=>10
[[3,2,0],[2,2],[2]]=>11
[[3,2,0],[3,0],[0]]=>8
[[3,2,0],[3,0],[1]]=>9
[[3,2,0],[3,0],[2]]=>10
[[3,2,0],[3,0],[3]]=>11
[[3,2,0],[3,1],[1]]=>10
[[3,2,0],[3,1],[2]]=>11
[[3,2,0],[3,1],[3]]=>12
[[3,2,0],[3,2],[2]]=>12
[[3,2,0],[3,2],[3]]=>13
[[3,1,1],[1,1],[1]]=>8
[[3,1,1],[2,1],[1]]=>9
[[3,1,1],[2,1],[2]]=>10
[[3,1,1],[3,1],[1]]=>10
[[3,1,1],[3,1],[2]]=>11
[[3,1,1],[3,1],[3]]=>12
[[2,2,1],[2,1],[1]]=>9
[[2,2,1],[2,1],[2]]=>10
[[2,2,1],[2,2],[2]]=>11
[[3,3,0],[3,0],[0]]=>9
[[3,3,0],[3,0],[1]]=>10
[[3,3,0],[3,0],[2]]=>11
[[3,3,0],[3,0],[3]]=>12
[[3,3,0],[3,1],[1]]=>11
[[3,3,0],[3,1],[2]]=>12
[[3,3,0],[3,1],[3]]=>13
[[3,3,0],[3,2],[2]]=>13
[[3,3,0],[3,2],[3]]=>14
[[3,3,0],[3,3],[3]]=>15
[[3,2,1],[2,1],[1]]=>10
[[3,2,1],[2,1],[2]]=>11
[[3,2,1],[2,2],[2]]=>12
[[3,2,1],[3,1],[1]]=>11
[[3,2,1],[3,1],[2]]=>12
[[3,2,1],[3,1],[3]]=>13
[[3,2,1],[3,2],[2]]=>13
[[3,2,1],[3,2],[3]]=>14
[[2,2,2],[2,2],[2]]=>12
[[3,3,1],[3,3],[3]]=>16
[[3,3,1],[3,2],[3]]=>15
[[3,3,1],[3,1],[3]]=>14
[[3,3,1],[3,2],[2]]=>14
[[3,3,1],[3,1],[2]]=>13
[[3,3,1],[3,1],[1]]=>12
[[3,2,2],[3,2],[3]]=>15
[[3,2,2],[3,2],[2]]=>14
[[3,2,2],[2,2],[2]]=>13
[[1,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0],[1,0,0],[0,0],[0]]=>2
[[1,0,0,0],[1,0,0],[1,0],[0]]=>3
[[1,0,0,0],[1,0,0],[1,0],[1]]=>4
[[2,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0],[1,0,0],[0,0],[0]]=>3
[[2,0,0,0],[1,0,0],[1,0],[0]]=>4
[[2,0,0,0],[1,0,0],[1,0],[1]]=>5
[[2,0,0,0],[2,0,0],[0,0],[0]]=>4
[[2,0,0,0],[2,0,0],[1,0],[0]]=>5
[[2,0,0,0],[2,0,0],[1,0],[1]]=>6
[[2,0,0,0],[2,0,0],[2,0],[0]]=>6
[[2,0,0,0],[2,0,0],[2,0],[1]]=>7
[[2,0,0,0],[2,0,0],[2,0],[2]]=>8
[[1,1,0,0],[1,0,0],[0,0],[0]]=>3
[[1,1,0,0],[1,0,0],[1,0],[0]]=>4
[[1,1,0,0],[1,0,0],[1,0],[1]]=>5
[[1,1,0,0],[1,1,0],[1,0],[0]]=>5
[[1,1,0,0],[1,1,0],[1,0],[1]]=>6
[[1,1,0,0],[1,1,0],[1,1],[1]]=>7
[[3,0,0,0],[0,0,0],[0,0],[0]]=>3
[[3,0,0,0],[1,0,0],[0,0],[0]]=>4
[[3,0,0,0],[1,0,0],[1,0],[0]]=>5
[[3,0,0,0],[1,0,0],[1,0],[1]]=>6
[[3,0,0,0],[2,0,0],[0,0],[0]]=>5
[[3,0,0,0],[2,0,0],[1,0],[0]]=>6
[[3,0,0,0],[2,0,0],[1,0],[1]]=>7
[[3,0,0,0],[2,0,0],[2,0],[0]]=>7
[[3,0,0,0],[2,0,0],[2,0],[1]]=>8
[[3,0,0,0],[2,0,0],[2,0],[2]]=>9
[[3,0,0,0],[3,0,0],[0,0],[0]]=>6
[[3,0,0,0],[3,0,0],[1,0],[0]]=>7
[[3,0,0,0],[3,0,0],[1,0],[1]]=>8
[[3,0,0,0],[3,0,0],[2,0],[0]]=>8
[[3,0,0,0],[3,0,0],[2,0],[1]]=>9
[[3,0,0,0],[3,0,0],[2,0],[2]]=>10
[[3,0,0,0],[3,0,0],[3,0],[0]]=>9
[[3,0,0,0],[3,0,0],[3,0],[1]]=>10
[[3,0,0,0],[3,0,0],[3,0],[2]]=>11
[[3,0,0,0],[3,0,0],[3,0],[3]]=>12
[[2,1,0,0],[1,0,0],[0,0],[0]]=>4
[[2,1,0,0],[1,0,0],[1,0],[0]]=>5
[[2,1,0,0],[1,0,0],[1,0],[1]]=>6
[[2,1,0,0],[1,1,0],[1,0],[0]]=>6
[[2,1,0,0],[1,1,0],[1,0],[1]]=>7
[[2,1,0,0],[1,1,0],[1,1],[1]]=>8
[[2,1,0,0],[2,0,0],[0,0],[0]]=>5
[[2,1,0,0],[2,0,0],[1,0],[0]]=>6
[[2,1,0,0],[2,0,0],[1,0],[1]]=>7
[[2,1,0,0],[2,0,0],[2,0],[0]]=>7
[[2,1,0,0],[2,0,0],[2,0],[1]]=>8
[[2,1,0,0],[2,0,0],[2,0],[2]]=>9
[[2,1,0,0],[2,1,0],[1,0],[0]]=>7
[[2,1,0,0],[2,1,0],[1,0],[1]]=>8
[[2,1,0,0],[2,1,0],[1,1],[1]]=>9
[[2,1,0,0],[2,1,0],[2,0],[0]]=>8
[[2,1,0,0],[2,1,0],[2,0],[1]]=>9
[[2,1,0,0],[2,1,0],[2,0],[2]]=>10
[[2,1,0,0],[2,1,0],[2,1],[1]]=>10
[[2,1,0,0],[2,1,0],[2,1],[2]]=>11
[[1,1,1,0],[1,1,0],[1,0],[0]]=>6
[[1,1,1,0],[1,1,0],[1,0],[1]]=>7
[[1,1,1,0],[1,1,0],[1,1],[1]]=>8
[[1,1,1,0],[1,1,1],[1,1],[1]]=>9
[[4,0,0,0],[0,0,0],[0,0],[0]]=>4
[[4,0,0,0],[1,0,0],[0,0],[0]]=>5
[[4,0,0,0],[1,0,0],[1,0],[0]]=>6
[[4,0,0,0],[1,0,0],[1,0],[1]]=>7
[[4,0,0,0],[2,0,0],[0,0],[0]]=>6
[[4,0,0,0],[2,0,0],[1,0],[0]]=>7
[[4,0,0,0],[2,0,0],[1,0],[1]]=>8
[[4,0,0,0],[2,0,0],[2,0],[0]]=>8
[[4,0,0,0],[2,0,0],[2,0],[1]]=>9
[[4,0,0,0],[2,0,0],[2,0],[2]]=>10
[[4,0,0,0],[3,0,0],[0,0],[0]]=>7
[[4,0,0,0],[3,0,0],[1,0],[0]]=>8
[[4,0,0,0],[3,0,0],[1,0],[1]]=>9
[[4,0,0,0],[3,0,0],[2,0],[0]]=>9
[[4,0,0,0],[3,0,0],[2,0],[1]]=>10
[[4,0,0,0],[3,0,0],[2,0],[2]]=>11
[[4,0,0,0],[3,0,0],[3,0],[0]]=>10
[[4,0,0,0],[3,0,0],[3,0],[1]]=>11
[[4,0,0,0],[3,0,0],[3,0],[2]]=>12
[[4,0,0,0],[3,0,0],[3,0],[3]]=>13
[[4,0,0,0],[4,0,0],[0,0],[0]]=>8
[[4,0,0,0],[4,0,0],[1,0],[0]]=>9
[[4,0,0,0],[4,0,0],[1,0],[1]]=>10
[[4,0,0,0],[4,0,0],[2,0],[0]]=>10
[[4,0,0,0],[4,0,0],[2,0],[1]]=>11
[[4,0,0,0],[4,0,0],[2,0],[2]]=>12
[[4,0,0,0],[4,0,0],[3,0],[0]]=>11
[[4,0,0,0],[4,0,0],[3,0],[1]]=>12
[[4,0,0,0],[4,0,0],[3,0],[2]]=>13
[[4,0,0,0],[4,0,0],[3,0],[3]]=>14
[[4,0,0,0],[4,0,0],[4,0],[0]]=>12
[[4,0,0,0],[4,0,0],[4,0],[1]]=>13
[[4,0,0,0],[4,0,0],[4,0],[2]]=>14
[[4,0,0,0],[4,0,0],[4,0],[3]]=>15
[[4,0,0,0],[4,0,0],[4,0],[4]]=>16
[[3,1,0,0],[1,0,0],[0,0],[0]]=>5
[[3,1,0,0],[1,0,0],[1,0],[0]]=>6
[[3,1,0,0],[1,0,0],[1,0],[1]]=>7
[[3,1,0,0],[1,1,0],[1,0],[0]]=>7
[[3,1,0,0],[1,1,0],[1,0],[1]]=>8
[[3,1,0,0],[1,1,0],[1,1],[1]]=>9
[[3,1,0,0],[2,0,0],[0,0],[0]]=>6
[[3,1,0,0],[2,0,0],[1,0],[0]]=>7
[[3,1,0,0],[2,0,0],[1,0],[1]]=>8
[[3,1,0,0],[2,0,0],[2,0],[0]]=>8
[[3,1,0,0],[2,0,0],[2,0],[1]]=>9
[[3,1,0,0],[2,0,0],[2,0],[2]]=>10
[[3,1,0,0],[2,1,0],[1,0],[0]]=>8
[[3,1,0,0],[2,1,0],[1,0],[1]]=>9
[[3,1,0,0],[2,1,0],[1,1],[1]]=>10
[[3,1,0,0],[2,1,0],[2,0],[0]]=>9
[[3,1,0,0],[2,1,0],[2,0],[1]]=>10
[[3,1,0,0],[2,1,0],[2,0],[2]]=>11
[[3,1,0,0],[2,1,0],[2,1],[1]]=>11
[[3,1,0,0],[2,1,0],[2,1],[2]]=>12
[[3,1,0,0],[3,0,0],[0,0],[0]]=>7
[[3,1,0,0],[3,0,0],[1,0],[0]]=>8
[[3,1,0,0],[3,0,0],[1,0],[1]]=>9
[[3,1,0,0],[3,0,0],[2,0],[0]]=>9
[[3,1,0,0],[3,0,0],[2,0],[1]]=>10
[[3,1,0,0],[3,0,0],[2,0],[2]]=>11
[[3,1,0,0],[3,0,0],[3,0],[0]]=>10
[[3,1,0,0],[3,0,0],[3,0],[1]]=>11
[[3,1,0,0],[3,0,0],[3,0],[2]]=>12
[[3,1,0,0],[3,0,0],[3,0],[3]]=>13
[[3,1,0,0],[3,1,0],[1,0],[0]]=>9
[[3,1,0,0],[3,1,0],[1,0],[1]]=>10
[[3,1,0,0],[3,1,0],[1,1],[1]]=>11
[[3,1,0,0],[3,1,0],[2,0],[0]]=>10
[[3,1,0,0],[3,1,0],[2,0],[1]]=>11
[[3,1,0,0],[3,1,0],[2,0],[2]]=>12
[[3,1,0,0],[3,1,0],[2,1],[1]]=>12
[[3,1,0,0],[3,1,0],[2,1],[2]]=>13
[[3,1,0,0],[3,1,0],[3,0],[0]]=>11
[[3,1,0,0],[3,1,0],[3,0],[1]]=>12
[[3,1,0,0],[3,1,0],[3,0],[2]]=>13
[[3,1,0,0],[3,1,0],[3,0],[3]]=>14
[[3,1,0,0],[3,1,0],[3,1],[1]]=>13
[[3,1,0,0],[3,1,0],[3,1],[2]]=>14
[[3,1,0,0],[3,1,0],[3,1],[3]]=>15
[[2,2,0,0],[2,0,0],[0,0],[0]]=>6
[[2,2,0,0],[2,0,0],[1,0],[0]]=>7
[[2,2,0,0],[2,0,0],[1,0],[1]]=>8
[[2,2,0,0],[2,0,0],[2,0],[0]]=>8
[[2,2,0,0],[2,0,0],[2,0],[1]]=>9
[[2,2,0,0],[2,0,0],[2,0],[2]]=>10
[[2,2,0,0],[2,1,0],[1,0],[0]]=>8
[[2,2,0,0],[2,1,0],[1,0],[1]]=>9
[[2,2,0,0],[2,1,0],[1,1],[1]]=>10
[[2,2,0,0],[2,1,0],[2,0],[0]]=>9
[[2,2,0,0],[2,1,0],[2,0],[1]]=>10
[[2,2,0,0],[2,1,0],[2,0],[2]]=>11
[[2,2,0,0],[2,1,0],[2,1],[1]]=>11
[[2,2,0,0],[2,1,0],[2,1],[2]]=>12
[[2,2,0,0],[2,2,0],[2,0],[0]]=>10
[[2,2,0,0],[2,2,0],[2,0],[1]]=>11
[[2,2,0,0],[2,2,0],[2,0],[2]]=>12
[[2,2,0,0],[2,2,0],[2,1],[1]]=>12
[[2,2,0,0],[2,2,0],[2,1],[2]]=>13
[[2,2,0,0],[2,2,0],[2,2],[2]]=>14
[[2,1,1,0],[1,1,0],[1,0],[0]]=>7
[[2,1,1,0],[1,1,0],[1,0],[1]]=>8
[[2,1,1,0],[1,1,0],[1,1],[1]]=>9
[[2,1,1,0],[1,1,1],[1,1],[1]]=>10
[[2,1,1,0],[2,1,0],[1,0],[0]]=>8
[[2,1,1,0],[2,1,0],[1,0],[1]]=>9
[[2,1,1,0],[2,1,0],[1,1],[1]]=>10
[[2,1,1,0],[2,1,0],[2,0],[0]]=>9
[[2,1,1,0],[2,1,0],[2,0],[1]]=>10
[[2,1,1,0],[2,1,0],[2,0],[2]]=>11
[[2,1,1,0],[2,1,0],[2,1],[1]]=>11
[[2,1,1,0],[2,1,0],[2,1],[2]]=>12
[[2,1,1,0],[2,1,1],[1,1],[1]]=>11
[[2,1,1,0],[2,1,1],[2,1],[1]]=>12
[[2,1,1,0],[2,1,1],[2,1],[2]]=>13
[[1,1,1,1],[1,1,1],[1,1],[1]]=>10
[[4,1,0,0],[1,0,0],[0,0],[0]]=>6
[[4,1,0,0],[1,0,0],[1,0],[0]]=>7
[[4,1,0,0],[1,0,0],[1,0],[1]]=>8
[[4,1,0,0],[1,1,0],[1,0],[0]]=>8
[[4,1,0,0],[1,1,0],[1,0],[1]]=>9
[[4,1,0,0],[1,1,0],[1,1],[1]]=>10
[[4,1,0,0],[2,0,0],[0,0],[0]]=>7
[[4,1,0,0],[2,0,0],[1,0],[0]]=>8
[[4,1,0,0],[2,0,0],[1,0],[1]]=>9
[[4,1,0,0],[2,0,0],[2,0],[0]]=>9
[[4,1,0,0],[2,0,0],[2,0],[1]]=>10
[[4,1,0,0],[2,0,0],[2,0],[2]]=>11
[[4,1,0,0],[2,1,0],[1,0],[0]]=>9
[[4,1,0,0],[2,1,0],[1,0],[1]]=>10
[[4,1,0,0],[2,1,0],[1,1],[1]]=>11
[[4,1,0,0],[2,1,0],[2,0],[0]]=>10
[[4,1,0,0],[2,1,0],[2,0],[1]]=>11
[[4,1,0,0],[2,1,0],[2,0],[2]]=>12
[[4,1,0,0],[2,1,0],[2,1],[1]]=>12
[[4,1,0,0],[2,1,0],[2,1],[2]]=>13
[[4,1,0,0],[3,0,0],[0,0],[0]]=>8
[[4,1,0,0],[3,0,0],[1,0],[0]]=>9
[[4,1,0,0],[3,0,0],[1,0],[1]]=>10
[[4,1,0,0],[3,0,0],[2,0],[0]]=>10
[[4,1,0,0],[3,0,0],[2,0],[1]]=>11
[[4,1,0,0],[3,0,0],[2,0],[2]]=>12
[[4,1,0,0],[3,0,0],[3,0],[0]]=>11
[[4,1,0,0],[3,0,0],[3,0],[1]]=>12
[[4,1,0,0],[3,0,0],[3,0],[2]]=>13
[[4,1,0,0],[3,0,0],[3,0],[3]]=>14
[[4,1,0,0],[3,1,0],[1,0],[0]]=>10
[[4,1,0,0],[3,1,0],[1,0],[1]]=>11
[[4,1,0,0],[3,1,0],[1,1],[1]]=>12
[[4,1,0,0],[3,1,0],[2,0],[0]]=>11
[[4,1,0,0],[3,1,0],[2,0],[1]]=>12
[[4,1,0,0],[3,1,0],[2,0],[2]]=>13
[[4,1,0,0],[3,1,0],[2,1],[1]]=>13
[[4,1,0,0],[3,1,0],[2,1],[2]]=>14
[[4,1,0,0],[3,1,0],[3,0],[0]]=>12
[[4,1,0,0],[3,1,0],[3,0],[1]]=>13
[[4,1,0,0],[3,1,0],[3,0],[2]]=>14
[[4,1,0,0],[3,1,0],[3,0],[3]]=>15
[[4,1,0,0],[3,1,0],[3,1],[1]]=>14
[[4,1,0,0],[3,1,0],[3,1],[2]]=>15
[[4,1,0,0],[3,1,0],[3,1],[3]]=>16
[[4,1,0,0],[4,0,0],[0,0],[0]]=>9
[[4,1,0,0],[4,0,0],[1,0],[0]]=>10
[[4,1,0,0],[4,0,0],[1,0],[1]]=>11
[[4,1,0,0],[4,0,0],[2,0],[0]]=>11
[[4,1,0,0],[4,0,0],[2,0],[1]]=>12
[[4,1,0,0],[4,0,0],[2,0],[2]]=>13
[[4,1,0,0],[4,0,0],[3,0],[0]]=>12
[[4,1,0,0],[4,0,0],[3,0],[1]]=>13
[[4,1,0,0],[4,0,0],[3,0],[2]]=>14
[[4,1,0,0],[4,0,0],[3,0],[3]]=>15
[[4,1,0,0],[4,0,0],[4,0],[0]]=>13
[[4,1,0,0],[4,0,0],[4,0],[1]]=>14
[[4,1,0,0],[4,0,0],[4,0],[2]]=>15
[[4,1,0,0],[4,0,0],[4,0],[3]]=>16
[[4,1,0,0],[4,0,0],[4,0],[4]]=>17
[[4,1,0,0],[4,1,0],[1,0],[0]]=>11
[[4,1,0,0],[4,1,0],[1,0],[1]]=>12
[[4,1,0,0],[4,1,0],[1,1],[1]]=>13
[[4,1,0,0],[4,1,0],[2,0],[0]]=>12
[[4,1,0,0],[4,1,0],[2,0],[1]]=>13
[[4,1,0,0],[4,1,0],[2,0],[2]]=>14
[[4,1,0,0],[4,1,0],[2,1],[1]]=>14
[[4,1,0,0],[4,1,0],[2,1],[2]]=>15
[[4,1,0,0],[4,1,0],[3,0],[0]]=>13
[[4,1,0,0],[4,1,0],[3,0],[1]]=>14
[[4,1,0,0],[4,1,0],[3,0],[2]]=>15
[[4,1,0,0],[4,1,0],[3,0],[3]]=>16
[[4,1,0,0],[4,1,0],[3,1],[1]]=>15
[[4,1,0,0],[4,1,0],[3,1],[2]]=>16
[[4,1,0,0],[4,1,0],[3,1],[3]]=>17
[[4,1,0,0],[4,1,0],[4,0],[0]]=>14
[[4,1,0,0],[4,1,0],[4,0],[1]]=>15
[[4,1,0,0],[4,1,0],[4,0],[2]]=>16
[[4,1,0,0],[4,1,0],[4,0],[3]]=>17
[[4,1,0,0],[4,1,0],[4,0],[4]]=>18
[[4,1,0,0],[4,1,0],[4,1],[1]]=>16
[[4,1,0,0],[4,1,0],[4,1],[2]]=>17
[[4,1,0,0],[4,1,0],[4,1],[3]]=>18
[[4,1,0,0],[4,1,0],[4,1],[4]]=>19
[[3,2,0,0],[2,0,0],[0,0],[0]]=>7
[[3,2,0,0],[2,0,0],[1,0],[0]]=>8
[[3,2,0,0],[2,0,0],[1,0],[1]]=>9
[[3,2,0,0],[2,0,0],[2,0],[0]]=>9
[[3,2,0,0],[2,0,0],[2,0],[1]]=>10
[[3,2,0,0],[2,0,0],[2,0],[2]]=>11
[[3,2,0,0],[2,1,0],[1,0],[0]]=>9
[[3,2,0,0],[2,1,0],[1,0],[1]]=>10
[[3,2,0,0],[2,1,0],[1,1],[1]]=>11
[[3,2,0,0],[2,1,0],[2,0],[0]]=>10
[[3,2,0,0],[2,1,0],[2,0],[1]]=>11
[[3,2,0,0],[2,1,0],[2,0],[2]]=>12
[[3,2,0,0],[2,1,0],[2,1],[1]]=>12
[[3,2,0,0],[2,1,0],[2,1],[2]]=>13
[[3,2,0,0],[2,2,0],[2,0],[0]]=>11
[[3,2,0,0],[2,2,0],[2,0],[1]]=>12
[[3,2,0,0],[2,2,0],[2,0],[2]]=>13
[[3,2,0,0],[2,2,0],[2,1],[1]]=>13
[[3,2,0,0],[2,2,0],[2,1],[2]]=>14
[[3,2,0,0],[2,2,0],[2,2],[2]]=>15
[[3,2,0,0],[3,0,0],[0,0],[0]]=>8
[[3,2,0,0],[3,0,0],[1,0],[0]]=>9
[[3,2,0,0],[3,0,0],[1,0],[1]]=>10
[[3,2,0,0],[3,0,0],[2,0],[0]]=>10
[[3,2,0,0],[3,0,0],[2,0],[1]]=>11
[[3,2,0,0],[3,0,0],[2,0],[2]]=>12
[[3,2,0,0],[3,0,0],[3,0],[0]]=>11
[[3,2,0,0],[3,0,0],[3,0],[1]]=>12
[[3,2,0,0],[3,0,0],[3,0],[2]]=>13
[[3,2,0,0],[3,0,0],[3,0],[3]]=>14
[[3,2,0,0],[3,1,0],[1,0],[0]]=>10
[[3,2,0,0],[3,1,0],[1,0],[1]]=>11
[[3,2,0,0],[3,1,0],[1,1],[1]]=>12
[[3,2,0,0],[3,1,0],[2,0],[0]]=>11
[[3,2,0,0],[3,1,0],[2,0],[1]]=>12
[[3,2,0,0],[3,1,0],[2,0],[2]]=>13
[[3,2,0,0],[3,1,0],[2,1],[1]]=>13
[[3,2,0,0],[3,1,0],[2,1],[2]]=>14
[[3,2,0,0],[3,1,0],[3,0],[0]]=>12
[[3,2,0,0],[3,1,0],[3,0],[1]]=>13
[[3,2,0,0],[3,1,0],[3,0],[2]]=>14
[[3,2,0,0],[3,1,0],[3,0],[3]]=>15
[[3,2,0,0],[3,1,0],[3,1],[1]]=>14
[[3,2,0,0],[3,1,0],[3,1],[2]]=>15
[[3,2,0,0],[3,1,0],[3,1],[3]]=>16
[[3,2,0,0],[3,2,0],[2,0],[0]]=>12
[[3,2,0,0],[3,2,0],[2,0],[1]]=>13
[[3,2,0,0],[3,2,0],[2,0],[2]]=>14
[[3,2,0,0],[3,2,0],[2,1],[1]]=>14
[[3,2,0,0],[3,2,0],[2,1],[2]]=>15
[[3,2,0,0],[3,2,0],[2,2],[2]]=>16
[[3,2,0,0],[3,2,0],[3,0],[0]]=>13
[[3,2,0,0],[3,2,0],[3,0],[1]]=>14
[[3,2,0,0],[3,2,0],[3,0],[2]]=>15
[[3,2,0,0],[3,2,0],[3,0],[3]]=>16
[[3,2,0,0],[3,2,0],[3,1],[1]]=>15
[[3,2,0,0],[3,2,0],[3,1],[2]]=>16
[[3,2,0,0],[3,2,0],[3,1],[3]]=>17
[[3,2,0,0],[3,2,0],[3,2],[2]]=>17
[[3,2,0,0],[3,2,0],[3,2],[3]]=>18
[[3,1,1,0],[1,1,0],[1,0],[0]]=>8
[[3,1,1,0],[1,1,0],[1,0],[1]]=>9
[[3,1,1,0],[1,1,0],[1,1],[1]]=>10
[[3,1,1,0],[1,1,1],[1,1],[1]]=>11
[[3,1,1,0],[2,1,0],[1,0],[0]]=>9
[[3,1,1,0],[2,1,0],[1,0],[1]]=>10
[[3,1,1,0],[2,1,0],[1,1],[1]]=>11
[[3,1,1,0],[2,1,0],[2,0],[0]]=>10
[[3,1,1,0],[2,1,0],[2,0],[1]]=>11
[[3,1,1,0],[2,1,0],[2,0],[2]]=>12
[[3,1,1,0],[2,1,0],[2,1],[1]]=>12
[[3,1,1,0],[2,1,0],[2,1],[2]]=>13
[[3,1,1,0],[2,1,1],[1,1],[1]]=>12
[[3,1,1,0],[2,1,1],[2,1],[1]]=>13
[[3,1,1,0],[2,1,1],[2,1],[2]]=>14
[[3,1,1,0],[3,1,0],[1,0],[0]]=>10
[[3,1,1,0],[3,1,0],[1,0],[1]]=>11
[[3,1,1,0],[3,1,0],[1,1],[1]]=>12
[[3,1,1,0],[3,1,0],[2,0],[0]]=>11
[[3,1,1,0],[3,1,0],[2,0],[1]]=>12
[[3,1,1,0],[3,1,0],[2,0],[2]]=>13
[[3,1,1,0],[3,1,0],[2,1],[1]]=>13
[[3,1,1,0],[3,1,0],[2,1],[2]]=>14
[[3,1,1,0],[3,1,0],[3,0],[0]]=>12
[[3,1,1,0],[3,1,0],[3,0],[1]]=>13
[[3,1,1,0],[3,1,0],[3,0],[2]]=>14
[[3,1,1,0],[3,1,0],[3,0],[3]]=>15
[[3,1,1,0],[3,1,0],[3,1],[1]]=>14
[[3,1,1,0],[3,1,0],[3,1],[2]]=>15
[[3,1,1,0],[3,1,0],[3,1],[3]]=>16
[[3,1,1,0],[3,1,1],[1,1],[1]]=>13
[[3,1,1,0],[3,1,1],[2,1],[1]]=>14
[[3,1,1,0],[3,1,1],[2,1],[2]]=>15
[[3,1,1,0],[3,1,1],[3,1],[1]]=>15
[[3,1,1,0],[3,1,1],[3,1],[2]]=>16
[[3,1,1,0],[3,1,1],[3,1],[3]]=>17
[[2,2,1,0],[2,1,0],[1,0],[0]]=>9
[[2,2,1,0],[2,1,0],[1,0],[1]]=>10
[[2,2,1,0],[2,1,0],[1,1],[1]]=>11
[[2,2,1,0],[2,1,0],[2,0],[0]]=>10
[[2,2,1,0],[2,1,0],[2,0],[1]]=>11
[[2,2,1,0],[2,1,0],[2,0],[2]]=>12
[[2,2,1,0],[2,1,0],[2,1],[1]]=>12
[[2,2,1,0],[2,1,0],[2,1],[2]]=>13
[[2,2,1,0],[2,1,1],[1,1],[1]]=>12
[[2,2,1,0],[2,1,1],[2,1],[1]]=>13
[[2,2,1,0],[2,1,1],[2,1],[2]]=>14
[[2,2,1,0],[2,2,0],[2,0],[0]]=>11
[[2,2,1,0],[2,2,0],[2,0],[1]]=>12
[[2,2,1,0],[2,2,0],[2,0],[2]]=>13
[[2,2,1,0],[2,2,0],[2,1],[1]]=>13
[[2,2,1,0],[2,2,0],[2,1],[2]]=>14
[[2,2,1,0],[2,2,0],[2,2],[2]]=>15
[[2,2,1,0],[2,2,1],[2,1],[1]]=>14
[[2,2,1,0],[2,2,1],[2,1],[2]]=>15
[[2,2,1,0],[2,2,1],[2,2],[2]]=>16
[[2,1,1,1],[1,1,1],[1,1],[1]]=>11
[[2,1,1,1],[2,1,1],[1,1],[1]]=>12
[[2,1,1,1],[2,1,1],[2,1],[1]]=>13
[[2,1,1,1],[2,1,1],[2,1],[2]]=>14
[[4,2,0,0],[4,1,0],[4,1],[4]]=>20
[[4,2,0,0],[4,1,0],[4,0],[4]]=>19
[[4,2,0,0],[4,0,0],[4,0],[4]]=>18
[[4,2,0,0],[4,1,0],[4,1],[3]]=>19
[[4,2,0,0],[3,2,0],[3,2],[3]]=>19
[[4,2,0,0],[4,1,0],[4,0],[3]]=>18
[[4,2,0,0],[4,1,0],[3,1],[3]]=>18
[[4,2,0,0],[3,2,0],[3,1],[3]]=>18
[[4,2,0,0],[4,0,0],[4,0],[3]]=>17
[[4,2,0,0],[3,1,0],[3,1],[3]]=>17
[[4,2,0,0],[4,1,0],[3,0],[3]]=>17
[[4,2,0,0],[3,2,0],[3,0],[3]]=>17
[[4,2,0,0],[4,0,0],[3,0],[3]]=>16
[[4,2,0,0],[3,1,0],[3,0],[3]]=>16
[[4,2,0,0],[3,0,0],[3,0],[3]]=>15
[[4,2,0,0],[4,1,0],[4,1],[2]]=>18
[[4,2,0,0],[3,2,0],[3,2],[2]]=>18
[[4,2,0,0],[4,1,0],[4,0],[2]]=>17
[[4,2,0,0],[4,1,0],[3,1],[2]]=>17
[[4,2,0,0],[3,2,0],[3,1],[2]]=>17
[[4,2,0,0],[3,2,0],[2,2],[2]]=>17
[[4,2,0,0],[4,0,0],[4,0],[2]]=>16
[[4,2,0,0],[3,1,0],[3,1],[2]]=>16
[[4,2,0,0],[2,2,0],[2,2],[2]]=>16
[[4,2,0,0],[4,1,0],[3,0],[2]]=>16
[[4,2,0,0],[3,2,0],[3,0],[2]]=>16
[[4,2,0,0],[4,1,0],[2,1],[2]]=>16
[[4,2,0,0],[3,2,0],[2,1],[2]]=>16
[[4,2,0,0],[4,0,0],[3,0],[2]]=>15
[[4,2,0,0],[3,1,0],[3,0],[2]]=>15
[[4,2,0,0],[3,1,0],[2,1],[2]]=>15
[[4,2,0,0],[2,2,0],[2,1],[2]]=>15
[[4,2,0,0],[3,0,0],[3,0],[2]]=>14
[[4,2,0,0],[2,1,0],[2,1],[2]]=>14
[[4,2,0,0],[4,1,0],[2,0],[2]]=>15
[[4,2,0,0],[3,2,0],[2,0],[2]]=>15
[[4,2,0,0],[4,0,0],[2,0],[2]]=>14
[[4,2,0,0],[3,1,0],[2,0],[2]]=>14
[[4,2,0,0],[2,2,0],[2,0],[2]]=>14
[[4,2,0,0],[3,0,0],[2,0],[2]]=>13
[[4,2,0,0],[2,1,0],[2,0],[2]]=>13
[[4,2,0,0],[2,0,0],[2,0],[2]]=>12
[[4,2,0,0],[4,1,0],[4,1],[1]]=>17
[[4,2,0,0],[4,1,0],[4,0],[1]]=>16
[[4,2,0,0],[4,1,0],[3,1],[1]]=>16
[[4,2,0,0],[3,2,0],[3,1],[1]]=>16
[[4,2,0,0],[4,0,0],[4,0],[1]]=>15
[[4,2,0,0],[3,1,0],[3,1],[1]]=>15
[[4,2,0,0],[4,1,0],[3,0],[1]]=>15
[[4,2,0,0],[3,2,0],[3,0],[1]]=>15
[[4,2,0,0],[4,1,0],[2,1],[1]]=>15
[[4,2,0,0],[3,2,0],[2,1],[1]]=>15
[[4,2,0,0],[4,0,0],[3,0],[1]]=>14
[[4,2,0,0],[3,1,0],[3,0],[1]]=>14
[[4,2,0,0],[3,1,0],[2,1],[1]]=>14
[[4,2,0,0],[2,2,0],[2,1],[1]]=>14
[[4,2,0,0],[3,0,0],[3,0],[1]]=>13
[[4,2,0,0],[2,1,0],[2,1],[1]]=>13
[[4,2,0,0],[4,1,0],[2,0],[1]]=>14
[[4,2,0,0],[3,2,0],[2,0],[1]]=>14
[[4,2,0,0],[4,1,0],[1,1],[1]]=>14
[[4,2,0,0],[4,0,0],[2,0],[1]]=>13
[[4,2,0,0],[3,1,0],[2,0],[1]]=>13
[[4,2,0,0],[2,2,0],[2,0],[1]]=>13
[[4,2,0,0],[3,1,0],[1,1],[1]]=>13
[[4,2,0,0],[3,0,0],[2,0],[1]]=>12
[[4,2,0,0],[2,1,0],[2,0],[1]]=>12
[[4,2,0,0],[2,1,0],[1,1],[1]]=>12
[[4,2,0,0],[2,0,0],[2,0],[1]]=>11
[[4,2,0,0],[4,1,0],[1,0],[1]]=>13
[[4,2,0,0],[4,0,0],[1,0],[1]]=>12
[[4,2,0,0],[3,1,0],[1,0],[1]]=>12
[[4,2,0,0],[3,0,0],[1,0],[1]]=>11
[[4,2,0,0],[2,1,0],[1,0],[1]]=>11
[[4,2,0,0],[2,0,0],[1,0],[1]]=>10
[[4,2,0,0],[4,1,0],[4,0],[0]]=>15
[[4,2,0,0],[4,0,0],[4,0],[0]]=>14
[[4,2,0,0],[4,1,0],[3,0],[0]]=>14
[[4,2,0,0],[3,2,0],[3,0],[0]]=>14
[[4,2,0,0],[4,0,0],[3,0],[0]]=>13
[[4,2,0,0],[3,1,0],[3,0],[0]]=>13
[[4,2,0,0],[3,0,0],[3,0],[0]]=>12
[[4,2,0,0],[4,1,0],[2,0],[0]]=>13
[[4,2,0,0],[3,2,0],[2,0],[0]]=>13
[[4,2,0,0],[4,0,0],[2,0],[0]]=>12
[[4,2,0,0],[3,1,0],[2,0],[0]]=>12
[[4,2,0,0],[2,2,0],[2,0],[0]]=>12
[[4,2,0,0],[3,0,0],[2,0],[0]]=>11
[[4,2,0,0],[2,1,0],[2,0],[0]]=>11
[[4,2,0,0],[2,0,0],[2,0],[0]]=>10
[[4,2,0,0],[4,1,0],[1,0],[0]]=>12
[[4,2,0,0],[4,0,0],[1,0],[0]]=>11
[[4,2,0,0],[3,1,0],[1,0],[0]]=>11
[[4,2,0,0],[3,0,0],[1,0],[0]]=>10
[[4,2,0,0],[2,1,0],[1,0],[0]]=>10
[[4,2,0,0],[2,0,0],[1,0],[0]]=>9
[[4,2,0,0],[4,0,0],[0,0],[0]]=>10
[[4,2,0,0],[3,0,0],[0,0],[0]]=>9
[[4,2,0,0],[2,0,0],[0,0],[0]]=>8
[[4,1,1,0],[4,1,0],[4,1],[4]]=>20
[[4,1,1,0],[4,1,0],[4,0],[4]]=>19
[[4,1,1,0],[4,1,0],[4,1],[3]]=>19
[[4,1,1,0],[4,1,0],[4,0],[3]]=>18
[[4,1,1,0],[4,1,0],[3,1],[3]]=>18
[[4,1,1,0],[3,1,1],[3,1],[3]]=>18
[[4,1,1,0],[3,1,0],[3,1],[3]]=>17
[[4,1,1,0],[4,1,0],[3,0],[3]]=>17
[[4,1,1,0],[3,1,0],[3,0],[3]]=>16
[[4,1,1,0],[4,1,0],[4,1],[2]]=>18
[[4,1,1,0],[4,1,0],[4,0],[2]]=>17
[[4,1,1,0],[4,1,0],[3,1],[2]]=>17
[[4,1,1,0],[3,1,1],[3,1],[2]]=>17
[[4,1,1,0],[3,1,0],[3,1],[2]]=>16
[[4,1,1,0],[4,1,0],[3,0],[2]]=>16
[[4,1,1,0],[4,1,0],[2,1],[2]]=>16
[[4,1,1,0],[3,1,1],[2,1],[2]]=>16
[[4,1,1,0],[3,1,0],[3,0],[2]]=>15
[[4,1,1,0],[3,1,0],[2,1],[2]]=>15
[[4,1,1,0],[2,1,1],[2,1],[2]]=>15
[[4,1,1,0],[2,1,0],[2,1],[2]]=>14
[[4,1,1,0],[4,1,0],[2,0],[2]]=>15
[[4,1,1,0],[3,1,0],[2,0],[2]]=>14
[[4,1,1,0],[2,1,0],[2,0],[2]]=>13
[[4,1,1,0],[4,1,0],[4,1],[1]]=>17
[[4,1,1,0],[4,1,0],[4,0],[1]]=>16
[[4,1,1,0],[4,1,0],[3,1],[1]]=>16
[[4,1,1,0],[3,1,1],[3,1],[1]]=>16
[[4,1,1,0],[3,1,0],[3,1],[1]]=>15
[[4,1,1,0],[4,1,0],[3,0],[1]]=>15
[[4,1,1,0],[4,1,0],[2,1],[1]]=>15
[[4,1,1,0],[3,1,1],[2,1],[1]]=>15
[[4,1,1,0],[3,1,0],[3,0],[1]]=>14
[[4,1,1,0],[3,1,0],[2,1],[1]]=>14
[[4,1,1,0],[2,1,1],[2,1],[1]]=>14
[[4,1,1,0],[2,1,0],[2,1],[1]]=>13
[[4,1,1,0],[4,1,0],[2,0],[1]]=>14
[[4,1,1,0],[4,1,0],[1,1],[1]]=>14
[[4,1,1,0],[3,1,1],[1,1],[1]]=>14
[[4,1,1,0],[3,1,0],[2,0],[1]]=>13
[[4,1,1,0],[3,1,0],[1,1],[1]]=>13
[[4,1,1,0],[2,1,1],[1,1],[1]]=>13
[[4,1,1,0],[2,1,0],[2,0],[1]]=>12
[[4,1,1,0],[2,1,0],[1,1],[1]]=>12
[[4,1,1,0],[1,1,1],[1,1],[1]]=>12
[[4,1,1,0],[1,1,0],[1,1],[1]]=>11
[[4,1,1,0],[4,1,0],[1,0],[1]]=>13
[[4,1,1,0],[3,1,0],[1,0],[1]]=>12
[[4,1,1,0],[2,1,0],[1,0],[1]]=>11
[[4,1,1,0],[1,1,0],[1,0],[1]]=>10
[[4,1,1,0],[4,1,0],[4,0],[0]]=>15
[[4,1,1,0],[4,1,0],[3,0],[0]]=>14
[[4,1,1,0],[3,1,0],[3,0],[0]]=>13
[[4,1,1,0],[4,1,0],[2,0],[0]]=>13
[[4,1,1,0],[3,1,0],[2,0],[0]]=>12
[[4,1,1,0],[2,1,0],[2,0],[0]]=>11
[[4,1,1,0],[4,1,0],[1,0],[0]]=>12
[[4,1,1,0],[3,1,0],[1,0],[0]]=>11
[[4,1,1,0],[2,1,0],[1,0],[0]]=>10
[[4,1,1,0],[1,1,0],[1,0],[0]]=>9
[[3,3,0,0],[3,2,0],[3,2],[3]]=>19
[[3,3,0,0],[3,2,0],[3,1],[3]]=>18
[[3,3,0,0],[3,1,0],[3,1],[3]]=>17
[[3,3,0,0],[3,2,0],[3,0],[3]]=>17
[[3,3,0,0],[3,1,0],[3,0],[3]]=>16
[[3,3,0,0],[3,0,0],[3,0],[3]]=>15
[[3,3,0,0],[3,2,0],[3,2],[2]]=>18
[[3,3,0,0],[3,2,0],[3,1],[2]]=>17
[[3,3,0,0],[3,2,0],[2,2],[2]]=>17
[[3,3,0,0],[3,1,0],[3,1],[2]]=>16
[[3,3,0,0],[3,2,0],[3,0],[2]]=>16
[[3,3,0,0],[3,2,0],[2,1],[2]]=>16
[[3,3,0,0],[3,1,0],[3,0],[2]]=>15
[[3,3,0,0],[3,1,0],[2,1],[2]]=>15
[[3,3,0,0],[3,0,0],[3,0],[2]]=>14
[[3,3,0,0],[3,2,0],[2,0],[2]]=>15
[[3,3,0,0],[3,1,0],[2,0],[2]]=>14
[[3,3,0,0],[3,0,0],[2,0],[2]]=>13
[[3,3,0,0],[3,2,0],[3,1],[1]]=>16
[[3,3,0,0],[3,1,0],[3,1],[1]]=>15
[[3,3,0,0],[3,2,0],[3,0],[1]]=>15
[[3,3,0,0],[3,2,0],[2,1],[1]]=>15
[[3,3,0,0],[3,1,0],[3,0],[1]]=>14
[[3,3,0,0],[3,1,0],[2,1],[1]]=>14
[[3,3,0,0],[3,0,0],[3,0],[1]]=>13
[[3,3,0,0],[3,2,0],[2,0],[1]]=>14
[[3,3,0,0],[3,1,0],[2,0],[1]]=>13
[[3,3,0,0],[3,1,0],[1,1],[1]]=>13
[[3,3,0,0],[3,0,0],[2,0],[1]]=>12
[[3,3,0,0],[3,1,0],[1,0],[1]]=>12
[[3,3,0,0],[3,0,0],[1,0],[1]]=>11
[[3,3,0,0],[3,2,0],[3,0],[0]]=>14
[[3,3,0,0],[3,1,0],[3,0],[0]]=>13
[[3,3,0,0],[3,0,0],[3,0],[0]]=>12
[[3,3,0,0],[3,2,0],[2,0],[0]]=>13
[[3,3,0,0],[3,1,0],[2,0],[0]]=>12
[[3,3,0,0],[3,0,0],[2,0],[0]]=>11
[[3,3,0,0],[3,1,0],[1,0],[0]]=>11
[[3,3,0,0],[3,0,0],[1,0],[0]]=>10
[[3,3,0,0],[3,0,0],[0,0],[0]]=>9
[[3,2,1,0],[3,2,0],[3,2],[3]]=>19
[[3,2,1,0],[3,2,0],[3,1],[3]]=>18
[[3,2,1,0],[3,1,1],[3,1],[3]]=>18
[[3,2,1,0],[3,1,0],[3,1],[3]]=>17
[[3,2,1,0],[3,2,0],[3,0],[3]]=>17
[[3,2,1,0],[3,1,0],[3,0],[3]]=>16
[[3,2,1,0],[3,2,0],[3,2],[2]]=>18
[[3,2,1,0],[3,2,0],[3,1],[2]]=>17
[[3,2,1,0],[3,1,1],[3,1],[2]]=>17
[[3,2,1,0],[3,2,0],[2,2],[2]]=>17
[[3,2,1,0],[2,2,1],[2,2],[2]]=>17
[[3,2,1,0],[3,1,0],[3,1],[2]]=>16
[[3,2,1,0],[2,2,0],[2,2],[2]]=>16
[[3,2,1,0],[3,2,0],[3,0],[2]]=>16
[[3,2,1,0],[3,2,0],[2,1],[2]]=>16
[[3,2,1,0],[3,1,1],[2,1],[2]]=>16
[[3,2,1,0],[2,2,1],[2,1],[2]]=>16
[[3,2,1,0],[3,1,0],[3,0],[2]]=>15
[[3,2,1,0],[3,1,0],[2,1],[2]]=>15
[[3,2,1,0],[2,2,0],[2,1],[2]]=>15
[[3,2,1,0],[2,1,1],[2,1],[2]]=>15
[[3,2,1,0],[2,1,0],[2,1],[2]]=>14
[[3,2,1,0],[3,2,0],[2,0],[2]]=>15
[[3,2,1,0],[3,1,0],[2,0],[2]]=>14
[[3,2,1,0],[2,2,0],[2,0],[2]]=>14
[[3,2,1,0],[2,1,0],[2,0],[2]]=>13
[[3,2,1,0],[3,2,0],[3,1],[1]]=>16
[[3,2,1,0],[3,1,1],[3,1],[1]]=>16
[[3,2,1,0],[3,1,0],[3,1],[1]]=>15
[[3,2,1,0],[3,2,0],[3,0],[1]]=>15
[[3,2,1,0],[3,2,0],[2,1],[1]]=>15
[[3,2,1,0],[3,1,1],[2,1],[1]]=>15
[[3,2,1,0],[2,2,1],[2,1],[1]]=>15
[[3,2,1,0],[3,1,0],[3,0],[1]]=>14
[[3,2,1,0],[3,1,0],[2,1],[1]]=>14
[[3,2,1,0],[2,2,0],[2,1],[1]]=>14
[[3,2,1,0],[2,1,1],[2,1],[1]]=>14
[[3,2,1,0],[2,1,0],[2,1],[1]]=>13
[[3,2,1,0],[3,2,0],[2,0],[1]]=>14
[[3,2,1,0],[3,1,1],[1,1],[1]]=>14
[[3,2,1,0],[3,1,0],[2,0],[1]]=>13
[[3,2,1,0],[2,2,0],[2,0],[1]]=>13
[[3,2,1,0],[3,1,0],[1,1],[1]]=>13
[[3,2,1,0],[2,1,1],[1,1],[1]]=>13
[[3,2,1,0],[2,1,0],[2,0],[1]]=>12
[[3,2,1,0],[2,1,0],[1,1],[1]]=>12
[[3,2,1,0],[3,1,0],[1,0],[1]]=>12
[[3,2,1,0],[2,1,0],[1,0],[1]]=>11
[[3,2,1,0],[3,2,0],[3,0],[0]]=>14
[[3,2,1,0],[3,1,0],[3,0],[0]]=>13
[[3,2,1,0],[3,2,0],[2,0],[0]]=>13
[[3,2,1,0],[3,1,0],[2,0],[0]]=>12
[[3,2,1,0],[2,2,0],[2,0],[0]]=>12
[[3,2,1,0],[2,1,0],[2,0],[0]]=>11
[[3,2,1,0],[3,1,0],[1,0],[0]]=>11
[[3,2,1,0],[2,1,0],[1,0],[0]]=>10
[[3,1,1,1],[3,1,1],[3,1],[3]]=>18
[[3,1,1,1],[3,1,1],[3,1],[2]]=>17
[[3,1,1,1],[3,1,1],[2,1],[2]]=>16
[[3,1,1,1],[2,1,1],[2,1],[2]]=>15
[[3,1,1,1],[3,1,1],[3,1],[1]]=>16
[[3,1,1,1],[3,1,1],[2,1],[1]]=>15
[[3,1,1,1],[2,1,1],[2,1],[1]]=>14
[[3,1,1,1],[3,1,1],[1,1],[1]]=>14
[[3,1,1,1],[2,1,1],[1,1],[1]]=>13
[[3,1,1,1],[1,1,1],[1,1],[1]]=>12
[[2,2,2,0],[2,2,1],[2,2],[2]]=>17
[[2,2,2,0],[2,2,0],[2,2],[2]]=>16
[[2,2,2,0],[2,2,1],[2,1],[2]]=>16
[[2,2,2,0],[2,2,0],[2,1],[2]]=>15
[[2,2,2,0],[2,2,0],[2,0],[2]]=>14
[[2,2,2,0],[2,2,1],[2,1],[1]]=>15
[[2,2,2,0],[2,2,0],[2,1],[1]]=>14
[[2,2,2,0],[2,2,0],[2,0],[1]]=>13
[[2,2,2,0],[2,2,0],[2,0],[0]]=>12
[[2,2,1,1],[2,2,1],[2,2],[2]]=>17
[[2,2,1,1],[2,2,1],[2,1],[2]]=>16
[[2,2,1,1],[2,1,1],[2,1],[2]]=>15
[[2,2,1,1],[2,2,1],[2,1],[1]]=>15
[[2,2,1,1],[2,1,1],[2,1],[1]]=>14
[[2,2,1,1],[2,1,1],[1,1],[1]]=>13
[[4,3,2,1],[4,3,2],[4,3],[4]]=>30
[[4,3,2,1],[4,3,2],[4,3],[3]]=>29
[[4,3,2,1],[4,3,2],[4,2],[4]]=>29
[[4,3,2,1],[4,3,2],[4,2],[3]]=>28
[[4,3,2,1],[4,3,2],[3,2],[3]]=>27
[[4,3,2,1],[4,3,2],[4,2],[2]]=>27
[[4,3,2,1],[4,3,2],[3,2],[2]]=>26
[[4,3,2,1],[4,3,1],[4,3],[4]]=>29
[[4,3,2,1],[4,3,1],[4,3],[3]]=>28
[[4,3,2,1],[4,3,1],[4,2],[4]]=>28
[[4,3,2,1],[4,3,1],[4,2],[3]]=>27
[[4,3,2,1],[4,3,1],[3,2],[3]]=>26
[[4,3,2,1],[4,3,1],[4,2],[2]]=>26
[[4,3,2,1],[4,3,1],[3,2],[2]]=>25
[[4,3,2,1],[4,2,1],[4,2],[4]]=>27
[[4,3,2,1],[4,2,1],[4,2],[3]]=>26
[[4,3,2,1],[4,2,1],[3,2],[3]]=>25
[[4,3,2,1],[3,2,1],[3,2],[3]]=>24
[[4,3,2,1],[4,2,1],[4,2],[2]]=>25
[[4,3,2,1],[4,2,1],[3,2],[2]]=>24
[[4,3,2,1],[3,2,1],[3,2],[2]]=>23
[[4,3,2,1],[4,3,1],[4,1],[4]]=>27
[[4,3,2,1],[4,3,1],[4,1],[3]]=>26
[[4,3,2,1],[4,3,1],[3,1],[3]]=>25
[[4,3,2,1],[4,3,1],[4,1],[2]]=>25
[[4,3,2,1],[4,3,1],[3,1],[2]]=>24
[[4,3,2,1],[4,2,1],[4,1],[4]]=>26
[[4,3,2,1],[4,2,1],[4,1],[3]]=>25
[[4,3,2,1],[4,2,1],[3,1],[3]]=>24
[[4,3,2,1],[3,2,1],[3,1],[3]]=>23
[[4,3,2,1],[4,2,1],[4,1],[2]]=>24
[[4,3,2,1],[4,2,1],[3,1],[2]]=>23
[[4,3,2,1],[3,2,1],[3,1],[2]]=>22
[[4,3,2,1],[4,2,1],[2,1],[2]]=>22
[[4,3,2,1],[3,2,1],[2,1],[2]]=>21
[[4,3,2,1],[4,3,1],[4,1],[1]]=>24
[[4,3,2,1],[4,3,1],[3,1],[1]]=>23
[[4,3,2,1],[4,2,1],[4,1],[1]]=>23
[[4,3,2,1],[4,2,1],[3,1],[1]]=>22
[[4,3,2,1],[3,2,1],[3,1],[1]]=>21
[[4,3,2,1],[4,2,1],[2,1],[1]]=>21
[[4,3,2,1],[3,2,1],[2,1],[1]]=>20
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>4
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>5
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>5
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>6
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>4
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>5
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>6
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>7
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>6
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>7
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>8
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>8
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>9
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>10
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>5
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>6
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>5
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>6
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>7
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>7
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>8
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>9
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>5
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>6
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>7
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>5
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>6
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>7
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>8
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>7
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>8
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>9
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>9
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>10
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>11
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>9
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>10
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>11
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>12
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>11
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>12
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>13
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>13
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>14
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>15
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>5
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>6
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>7
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>6
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>7
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>8
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>8
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>9
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>10
[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>5
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>6
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>7
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>8
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>7
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>8
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>9
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>9
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>10
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>11
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>9
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>10
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>11
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>10
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>11
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>11
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>13
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>13
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>14
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>6
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>7
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>8
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>8
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>9
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>10
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>10
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>11
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>12
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>15
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>15
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>15
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>15
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>15
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>15
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>15
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>15
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>15
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>15
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>15
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>15
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>15
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>15
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>15
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>15
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>15
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>15
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>15
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>15
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>15
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>15
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>15
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>15
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>15
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>15
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>1
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>5
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>6
[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2
[[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>5
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>6
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>7
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>8
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>9
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>10
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>11
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>12
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>5
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>6
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>7
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>8
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>9
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>10
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>11
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>21
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>21
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>21
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>21
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>21
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>21
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>28
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>36
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>45
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>55
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[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]]=>78
[[0,0],[0]]=>0
[[0,0,0],[0,0],[0]]=>0
[[3,3,2],[3,2],[2]]=>15
[[3,3,2],[3,2],[3]]=>16
[[3,3,2],[3,3],[3]]=>17
[[3,3,3],[3,3],[3]]=>18
[[0,0,0,0],[0,0,0],[0,0],[0]]=>0
[[2,2,2,0],[2,2,2],[2,2],[2]]=>18
[[2,2,2,1],[2,2,1],[2,1],[1]]=>16
[[2,2,2,1],[2,2,1],[2,1],[2]]=>17
[[2,2,2,1],[2,2,1],[2,2],[2]]=>18
[[2,2,2,1],[2,2,2],[2,2],[2]]=>19
[[2,2,2,2],[2,2,2],[2,2],[2]]=>20
[[3,2,1,0],[3,2,1],[2,1],[1]]=>16
[[3,2,1,0],[3,2,1],[2,1],[2]]=>17
[[3,2,1,0],[3,2,1],[2,2],[2]]=>18
[[3,2,1,0],[3,2,1],[3,1],[1]]=>17
[[3,2,1,0],[3,2,1],[3,1],[2]]=>18
[[3,2,1,0],[3,2,1],[3,1],[3]]=>19
[[3,2,1,0],[3,2,1],[3,2],[2]]=>19
[[3,2,1,0],[3,2,1],[3,2],[3]]=>20
[[3,2,1,1],[2,1,1],[1,1],[1]]=>14
[[3,2,1,1],[2,1,1],[2,1],[1]]=>15
[[3,2,1,1],[2,1,1],[2,1],[2]]=>16
[[3,2,1,1],[2,2,1],[2,1],[1]]=>16
[[3,2,1,1],[2,2,1],[2,1],[2]]=>17
[[3,2,1,1],[2,2,1],[2,2],[2]]=>18
[[3,2,1,1],[3,1,1],[1,1],[1]]=>15
[[3,2,1,1],[3,1,1],[2,1],[1]]=>16
[[3,2,1,1],[3,1,1],[2,1],[2]]=>17
[[3,2,1,1],[3,1,1],[3,1],[1]]=>17
[[3,2,1,1],[3,1,1],[3,1],[2]]=>18
[[3,2,1,1],[3,1,1],[3,1],[3]]=>19
[[3,2,1,1],[3,2,1],[2,1],[1]]=>17
[[3,2,1,1],[3,2,1],[2,1],[2]]=>18
[[3,2,1,1],[3,2,1],[2,2],[2]]=>19
[[3,2,1,1],[3,2,1],[3,1],[1]]=>18
[[3,2,1,1],[3,2,1],[3,1],[2]]=>19
[[3,2,1,1],[3,2,1],[3,1],[3]]=>20
[[3,2,1,1],[3,2,1],[3,2],[2]]=>20
[[3,2,1,1],[3,2,1],[3,2],[3]]=>21
[[3,2,2,0],[2,2,0],[2,0],[0]]=>13
[[3,2,2,0],[2,2,0],[2,0],[1]]=>14
[[3,2,2,0],[2,2,0],[2,0],[2]]=>15
[[3,2,2,0],[2,2,0],[2,1],[1]]=>15
[[3,2,2,0],[2,2,0],[2,1],[2]]=>16
[[3,2,2,0],[2,2,0],[2,2],[2]]=>17
[[3,2,2,0],[2,2,1],[2,1],[1]]=>16
[[3,2,2,0],[2,2,1],[2,1],[2]]=>17
[[3,2,2,0],[2,2,1],[2,2],[2]]=>18
[[3,2,2,0],[2,2,2],[2,2],[2]]=>19
[[3,2,2,0],[3,2,0],[2,0],[0]]=>14
[[3,2,2,0],[3,2,0],[2,0],[1]]=>15
[[3,2,2,0],[3,2,0],[2,0],[2]]=>16
[[3,2,2,0],[3,2,0],[2,1],[1]]=>16
[[3,2,2,0],[3,2,0],[2,1],[2]]=>17
[[3,2,2,0],[3,2,0],[2,2],[2]]=>18
[[3,2,2,0],[3,2,0],[3,0],[0]]=>15
[[3,2,2,0],[3,2,0],[3,0],[1]]=>16
[[3,2,2,0],[3,2,0],[3,0],[2]]=>17
[[3,2,2,0],[3,2,0],[3,0],[3]]=>18
[[3,2,2,0],[3,2,0],[3,1],[1]]=>17
[[3,2,2,0],[3,2,0],[3,1],[2]]=>18
[[3,2,2,0],[3,2,0],[3,1],[3]]=>19
[[3,2,2,0],[3,2,0],[3,2],[2]]=>19
[[3,2,2,0],[3,2,0],[3,2],[3]]=>20
[[3,2,2,0],[3,2,1],[2,1],[1]]=>17
[[3,2,2,0],[3,2,1],[2,1],[2]]=>18
[[3,2,2,0],[3,2,1],[2,2],[2]]=>19
[[3,2,2,0],[3,2,1],[3,1],[1]]=>18
[[3,2,2,0],[3,2,1],[3,1],[2]]=>19
[[3,2,2,0],[3,2,1],[3,1],[3]]=>20
[[3,2,2,0],[3,2,1],[3,2],[2]]=>20
[[3,2,2,0],[3,2,1],[3,2],[3]]=>21
[[3,2,2,0],[3,2,2],[2,2],[2]]=>20
[[3,2,2,0],[3,2,2],[3,2],[2]]=>21
[[3,2,2,0],[3,2,2],[3,2],[3]]=>22
[[3,2,2,1],[2,2,1],[2,1],[1]]=>17
[[3,2,2,1],[2,2,1],[2,1],[2]]=>18
[[3,2,2,1],[2,2,1],[2,2],[2]]=>19
[[3,2,2,1],[2,2,2],[2,2],[2]]=>20
[[3,2,2,1],[3,2,1],[2,1],[1]]=>18
[[3,2,2,1],[3,2,1],[2,1],[2]]=>19
[[3,2,2,1],[3,2,1],[2,2],[2]]=>20
[[3,2,2,1],[3,2,1],[3,1],[1]]=>19
[[3,2,2,1],[3,2,1],[3,1],[2]]=>20
[[3,2,2,1],[3,2,1],[3,1],[3]]=>21
[[3,2,2,1],[3,2,1],[3,2],[2]]=>21
[[3,2,2,1],[3,2,1],[3,2],[3]]=>22
[[3,2,2,1],[3,2,2],[2,2],[2]]=>21
[[3,2,2,1],[3,2,2],[3,2],[2]]=>22
[[3,2,2,1],[3,2,2],[3,2],[3]]=>23
[[3,2,2,2],[2,2,2],[2,2],[2]]=>21
[[3,2,2,2],[3,2,2],[2,2],[2]]=>22
[[3,2,2,2],[3,2,2],[3,2],[2]]=>23
[[3,2,2,2],[3,2,2],[3,2],[3]]=>24
[[3,3,0,0],[3,3,0],[3,0],[0]]=>15
[[3,3,0,0],[3,3,0],[3,0],[1]]=>16
[[3,3,0,0],[3,3,0],[3,0],[2]]=>17
[[3,3,0,0],[3,3,0],[3,0],[3]]=>18
[[3,3,0,0],[3,3,0],[3,1],[1]]=>17
[[3,3,0,0],[3,3,0],[3,1],[2]]=>18
[[3,3,0,0],[3,3,0],[3,1],[3]]=>19
[[3,3,0,0],[3,3,0],[3,2],[2]]=>19
[[3,3,0,0],[3,3,0],[3,2],[3]]=>20
[[3,3,0,0],[3,3,0],[3,3],[3]]=>21
[[3,3,1,0],[3,1,0],[1,0],[0]]=>12
[[3,3,1,0],[3,1,0],[1,0],[1]]=>13
[[3,3,1,0],[3,1,0],[1,1],[1]]=>14
[[3,3,1,0],[3,1,0],[2,0],[0]]=>13
[[3,3,1,0],[3,1,0],[2,0],[1]]=>14
[[3,3,1,0],[3,1,0],[2,0],[2]]=>15
[[3,3,1,0],[3,1,0],[2,1],[1]]=>15
[[3,3,1,0],[3,1,0],[2,1],[2]]=>16
[[3,3,1,0],[3,1,0],[3,0],[0]]=>14
[[3,3,1,0],[3,1,0],[3,0],[1]]=>15
[[3,3,1,0],[3,1,0],[3,0],[2]]=>16
[[3,3,1,0],[3,1,0],[3,0],[3]]=>17
[[3,3,1,0],[3,1,0],[3,1],[1]]=>16
[[3,3,1,0],[3,1,0],[3,1],[2]]=>17
[[3,3,1,0],[3,1,0],[3,1],[3]]=>18
[[3,3,1,0],[3,1,1],[1,1],[1]]=>15
[[3,3,1,0],[3,1,1],[2,1],[1]]=>16
[[3,3,1,0],[3,1,1],[2,1],[2]]=>17
[[3,3,1,0],[3,1,1],[3,1],[1]]=>17
[[3,3,1,0],[3,1,1],[3,1],[2]]=>18
[[3,3,1,0],[3,1,1],[3,1],[3]]=>19
[[3,3,1,0],[3,2,0],[2,0],[0]]=>14
[[3,3,1,0],[3,2,0],[2,0],[1]]=>15
[[3,3,1,0],[3,2,0],[2,0],[2]]=>16
[[3,3,1,0],[3,2,0],[2,1],[1]]=>16
[[3,3,1,0],[3,2,0],[2,1],[2]]=>17
[[3,3,1,0],[3,2,0],[2,2],[2]]=>18
[[3,3,1,0],[3,2,0],[3,0],[0]]=>15
[[3,3,1,0],[3,2,0],[3,0],[1]]=>16
[[3,3,1,0],[3,2,0],[3,0],[2]]=>17
[[3,3,1,0],[3,2,0],[3,0],[3]]=>18
[[3,3,1,0],[3,2,0],[3,1],[1]]=>17
[[3,3,1,0],[3,2,0],[3,1],[2]]=>18
[[3,3,1,0],[3,2,0],[3,1],[3]]=>19
[[3,3,1,0],[3,2,0],[3,2],[2]]=>19
[[3,3,1,0],[3,2,0],[3,2],[3]]=>20
[[3,3,1,0],[3,2,1],[2,1],[1]]=>17
[[3,3,1,0],[3,2,1],[2,1],[2]]=>18
[[3,3,1,0],[3,2,1],[2,2],[2]]=>19
[[3,3,1,0],[3,2,1],[3,1],[1]]=>18
[[3,3,1,0],[3,2,1],[3,1],[2]]=>19
[[3,3,1,0],[3,2,1],[3,1],[3]]=>20
[[3,3,1,0],[3,2,1],[3,2],[2]]=>20
[[3,3,1,0],[3,2,1],[3,2],[3]]=>21
[[3,3,1,0],[3,3,0],[3,0],[0]]=>16
[[3,3,1,0],[3,3,0],[3,0],[1]]=>17
[[3,3,1,0],[3,3,0],[3,0],[2]]=>18
[[3,3,1,0],[3,3,0],[3,0],[3]]=>19
[[3,3,1,0],[3,3,0],[3,1],[1]]=>18
[[3,3,1,0],[3,3,0],[3,1],[2]]=>19
[[3,3,1,0],[3,3,0],[3,1],[3]]=>20
[[3,3,1,0],[3,3,0],[3,2],[2]]=>20
[[3,3,1,0],[3,3,0],[3,2],[3]]=>21
[[3,3,1,0],[3,3,0],[3,3],[3]]=>22
[[3,3,1,0],[3,3,1],[3,1],[1]]=>19
[[3,3,1,0],[3,3,1],[3,1],[2]]=>20
[[3,3,1,0],[3,3,1],[3,1],[3]]=>21
[[3,3,1,0],[3,3,1],[3,2],[2]]=>21
[[3,3,1,0],[3,3,1],[3,2],[3]]=>22
[[3,3,1,0],[3,3,1],[3,3],[3]]=>23
[[3,3,1,1],[3,1,1],[1,1],[1]]=>16
[[3,3,1,1],[3,1,1],[2,1],[1]]=>17
[[3,3,1,1],[3,1,1],[2,1],[2]]=>18
[[3,3,1,1],[3,1,1],[3,1],[1]]=>18
[[3,3,1,1],[3,1,1],[3,1],[2]]=>19
[[3,3,1,1],[3,1,1],[3,1],[3]]=>20
[[3,3,1,1],[3,2,1],[2,1],[1]]=>18
[[3,3,1,1],[3,2,1],[2,1],[2]]=>19
[[3,3,1,1],[3,2,1],[2,2],[2]]=>20
[[3,3,1,1],[3,2,1],[3,1],[1]]=>19
[[3,3,1,1],[3,2,1],[3,1],[2]]=>20
[[3,3,1,1],[3,2,1],[3,1],[3]]=>21
[[3,3,1,1],[3,2,1],[3,2],[2]]=>21
[[3,3,1,1],[3,2,1],[3,2],[3]]=>22
[[3,3,1,1],[3,3,1],[3,1],[1]]=>20
[[3,3,1,1],[3,3,1],[3,1],[2]]=>21
[[3,3,1,1],[3,3,1],[3,1],[3]]=>22
[[3,3,1,1],[3,3,1],[3,2],[2]]=>22
[[3,3,1,1],[3,3,1],[3,2],[3]]=>23
[[3,3,1,1],[3,3,1],[3,3],[3]]=>24
[[3,3,2,0],[3,2,0],[2,0],[0]]=>15
[[3,3,2,0],[3,2,0],[2,0],[1]]=>16
[[3,3,2,0],[3,2,0],[2,0],[2]]=>17
[[3,3,2,0],[3,2,0],[2,1],[1]]=>17
[[3,3,2,0],[3,2,0],[2,1],[2]]=>18
[[3,3,2,0],[3,2,0],[2,2],[2]]=>19
[[3,3,2,0],[3,2,0],[3,0],[0]]=>16
[[3,3,2,0],[3,2,0],[3,0],[1]]=>17
[[3,3,2,0],[3,2,0],[3,0],[2]]=>18
[[3,3,2,0],[3,2,0],[3,0],[3]]=>19
[[3,3,2,0],[3,2,0],[3,1],[1]]=>18
[[3,3,2,0],[3,2,0],[3,1],[2]]=>19
[[3,3,2,0],[3,2,0],[3,1],[3]]=>20
[[3,3,2,0],[3,2,0],[3,2],[2]]=>20
[[3,3,2,0],[3,2,0],[3,2],[3]]=>21
[[3,3,2,0],[3,2,1],[2,1],[1]]=>18
[[3,3,2,0],[3,2,1],[2,1],[2]]=>19
[[3,3,2,0],[3,2,1],[2,2],[2]]=>20
[[3,3,2,0],[3,2,1],[3,1],[1]]=>19
[[3,3,2,0],[3,2,1],[3,1],[2]]=>20
[[3,3,2,0],[3,2,1],[3,1],[3]]=>21
[[3,3,2,0],[3,2,1],[3,2],[2]]=>21
[[3,3,2,0],[3,2,1],[3,2],[3]]=>22
[[3,3,2,0],[3,2,2],[2,2],[2]]=>21
[[3,3,2,0],[3,2,2],[3,2],[2]]=>22
[[3,3,2,0],[3,2,2],[3,2],[3]]=>23
[[3,3,2,0],[3,3,0],[3,0],[0]]=>17
[[3,3,2,0],[3,3,0],[3,0],[1]]=>18
[[3,3,2,0],[3,3,0],[3,0],[2]]=>19
[[3,3,2,0],[3,3,0],[3,0],[3]]=>20
[[3,3,2,0],[3,3,0],[3,1],[1]]=>19
[[3,3,2,0],[3,3,0],[3,1],[2]]=>20
[[3,3,2,0],[3,3,0],[3,1],[3]]=>21
[[3,3,2,0],[3,3,0],[3,2],[2]]=>21
[[3,3,2,0],[3,3,0],[3,2],[3]]=>22
[[3,3,2,0],[3,3,0],[3,3],[3]]=>23
[[3,3,2,0],[3,3,1],[3,1],[1]]=>20
[[3,3,2,0],[3,3,1],[3,1],[2]]=>21
[[3,3,2,0],[3,3,1],[3,1],[3]]=>22
[[3,3,2,0],[3,3,1],[3,2],[2]]=>22
[[3,3,2,0],[3,3,1],[3,2],[3]]=>23
[[3,3,2,0],[3,3,1],[3,3],[3]]=>24
[[3,3,2,0],[3,3,2],[3,2],[2]]=>23
[[3,3,2,0],[3,3,2],[3,2],[3]]=>24
[[3,3,2,0],[3,3,2],[3,3],[3]]=>25
[[3,3,2,1],[3,2,1],[2,1],[1]]=>19
[[3,3,2,1],[3,2,1],[2,1],[2]]=>20
[[3,3,2,1],[3,2,1],[2,2],[2]]=>21
[[3,3,2,1],[3,2,1],[3,1],[1]]=>20
[[3,3,2,1],[3,2,1],[3,1],[2]]=>21
[[3,3,2,1],[3,2,1],[3,1],[3]]=>22
[[3,3,2,1],[3,2,1],[3,2],[2]]=>22
[[3,3,2,1],[3,2,1],[3,2],[3]]=>23
[[3,3,2,1],[3,2,2],[2,2],[2]]=>22
[[3,3,2,1],[3,2,2],[3,2],[2]]=>23
[[3,3,2,1],[3,2,2],[3,2],[3]]=>24
[[3,3,2,1],[3,3,1],[3,1],[1]]=>21
[[3,3,2,1],[3,3,1],[3,1],[2]]=>22
[[3,3,2,1],[3,3,1],[3,1],[3]]=>23
[[3,3,2,1],[3,3,1],[3,2],[2]]=>23
[[3,3,2,1],[3,3,1],[3,2],[3]]=>24
[[3,3,2,1],[3,3,1],[3,3],[3]]=>25
[[3,3,2,1],[3,3,2],[3,2],[2]]=>24
[[3,3,2,1],[3,3,2],[3,2],[3]]=>25
[[3,3,2,1],[3,3,2],[3,3],[3]]=>26
[[3,3,2,2],[3,2,2],[2,2],[2]]=>23
[[3,3,2,2],[3,2,2],[3,2],[2]]=>24
[[3,3,2,2],[3,2,2],[3,2],[3]]=>25
[[3,3,2,2],[3,3,2],[3,2],[2]]=>25
[[3,3,2,2],[3,3,2],[3,2],[3]]=>26
[[3,3,2,2],[3,3,2],[3,3],[3]]=>27
[[3,3,3,0],[3,3,0],[3,0],[0]]=>18
[[3,3,3,0],[3,3,0],[3,0],[1]]=>19
[[3,3,3,0],[3,3,0],[3,0],[2]]=>20
[[3,3,3,0],[3,3,0],[3,0],[3]]=>21
[[3,3,3,0],[3,3,0],[3,1],[1]]=>20
[[3,3,3,0],[3,3,0],[3,1],[2]]=>21
[[3,3,3,0],[3,3,0],[3,1],[3]]=>22
[[3,3,3,0],[3,3,0],[3,2],[2]]=>22
[[3,3,3,0],[3,3,0],[3,2],[3]]=>23
[[3,3,3,0],[3,3,0],[3,3],[3]]=>24
[[3,3,3,0],[3,3,1],[3,1],[1]]=>21
[[3,3,3,0],[3,3,1],[3,1],[2]]=>22
[[3,3,3,0],[3,3,1],[3,1],[3]]=>23
[[3,3,3,0],[3,3,1],[3,2],[2]]=>23
[[3,3,3,0],[3,3,1],[3,2],[3]]=>24
[[3,3,3,0],[3,3,1],[3,3],[3]]=>25
[[3,3,3,0],[3,3,2],[3,2],[2]]=>24
[[3,3,3,0],[3,3,2],[3,2],[3]]=>25
[[3,3,3,0],[3,3,2],[3,3],[3]]=>26
[[3,3,3,0],[3,3,3],[3,3],[3]]=>27
[[3,3,3,1],[3,3,1],[3,1],[1]]=>22
[[3,3,3,1],[3,3,1],[3,1],[2]]=>23
[[3,3,3,1],[3,3,1],[3,1],[3]]=>24
[[3,3,3,1],[3,3,1],[3,2],[2]]=>24
[[3,3,3,1],[3,3,1],[3,2],[3]]=>25
[[3,3,3,1],[3,3,1],[3,3],[3]]=>26
[[3,3,3,1],[3,3,2],[3,2],[2]]=>25
[[3,3,3,1],[3,3,2],[3,2],[3]]=>26
[[3,3,3,1],[3,3,2],[3,3],[3]]=>27
[[3,3,3,1],[3,3,3],[3,3],[3]]=>28
[[3,3,3,2],[3,3,2],[3,2],[2]]=>26
[[3,3,3,2],[3,3,2],[3,2],[3]]=>27
[[3,3,3,2],[3,3,2],[3,3],[3]]=>28
[[3,3,3,2],[3,3,3],[3,3],[3]]=>29
[[3,3,3,3],[3,3,3],[3,3],[3]]=>30
[[4,1,1,0],[4,1,1],[1,1],[1]]=>15
[[4,1,1,0],[4,1,1],[2,1],[1]]=>16
[[4,1,1,0],[4,1,1],[2,1],[2]]=>17
[[4,1,1,0],[4,1,1],[3,1],[1]]=>17
[[4,1,1,0],[4,1,1],[3,1],[2]]=>18
[[4,1,1,0],[4,1,1],[3,1],[3]]=>19
[[4,1,1,0],[4,1,1],[4,1],[1]]=>18
[[4,1,1,0],[4,1,1],[4,1],[2]]=>19
[[4,1,1,0],[4,1,1],[4,1],[3]]=>20
[[4,1,1,0],[4,1,1],[4,1],[4]]=>21
[[4,1,1,1],[1,1,1],[1,1],[1]]=>13
[[4,1,1,1],[2,1,1],[1,1],[1]]=>14
[[4,1,1,1],[2,1,1],[2,1],[1]]=>15
[[4,1,1,1],[2,1,1],[2,1],[2]]=>16
[[4,1,1,1],[3,1,1],[1,1],[1]]=>15
[[4,1,1,1],[3,1,1],[2,1],[1]]=>16
[[4,1,1,1],[3,1,1],[2,1],[2]]=>17
[[4,1,1,1],[3,1,1],[3,1],[1]]=>17
[[4,1,1,1],[3,1,1],[3,1],[2]]=>18
[[4,1,1,1],[3,1,1],[3,1],[3]]=>19
[[4,1,1,1],[4,1,1],[1,1],[1]]=>16
[[4,1,1,1],[4,1,1],[2,1],[1]]=>17
[[4,1,1,1],[4,1,1],[2,1],[2]]=>18
[[4,1,1,1],[4,1,1],[3,1],[1]]=>18
[[4,1,1,1],[4,1,1],[3,1],[2]]=>19
[[4,1,1,1],[4,1,1],[3,1],[3]]=>20
[[4,1,1,1],[4,1,1],[4,1],[1]]=>19
[[4,1,1,1],[4,1,1],[4,1],[2]]=>20
[[4,1,1,1],[4,1,1],[4,1],[3]]=>21
[[4,1,1,1],[4,1,1],[4,1],[4]]=>22
[[4,2,0,0],[4,2,0],[2,0],[0]]=>14
[[4,2,0,0],[4,2,0],[2,0],[1]]=>15
[[4,2,0,0],[4,2,0],[2,0],[2]]=>16
[[4,2,0,0],[4,2,0],[2,1],[1]]=>16
[[4,2,0,0],[4,2,0],[2,1],[2]]=>17
[[4,2,0,0],[4,2,0],[2,2],[2]]=>18
[[4,2,0,0],[4,2,0],[3,0],[0]]=>15
[[4,2,0,0],[4,2,0],[3,0],[1]]=>16
[[4,2,0,0],[4,2,0],[3,0],[2]]=>17
[[4,2,0,0],[4,2,0],[3,0],[3]]=>18
[[4,2,0,0],[4,2,0],[3,1],[1]]=>17
[[4,2,0,0],[4,2,0],[3,1],[2]]=>18
[[4,2,0,0],[4,2,0],[3,1],[3]]=>19
[[4,2,0,0],[4,2,0],[3,2],[2]]=>19
[[4,2,0,0],[4,2,0],[3,2],[3]]=>20
[[4,2,0,0],[4,2,0],[4,0],[0]]=>16
[[4,2,0,0],[4,2,0],[4,0],[1]]=>17
[[4,2,0,0],[4,2,0],[4,0],[2]]=>18
[[4,2,0,0],[4,2,0],[4,0],[3]]=>19
[[4,2,0,0],[4,2,0],[4,0],[4]]=>20
[[4,2,0,0],[4,2,0],[4,1],[1]]=>18
[[4,2,0,0],[4,2,0],[4,1],[2]]=>19
[[4,2,0,0],[4,2,0],[4,1],[3]]=>20
[[4,2,0,0],[4,2,0],[4,1],[4]]=>21
[[4,2,0,0],[4,2,0],[4,2],[2]]=>20
[[4,2,0,0],[4,2,0],[4,2],[3]]=>21
[[4,2,0,0],[4,2,0],[4,2],[4]]=>22
[[4,2,1,0],[2,1,0],[1,0],[0]]=>11
[[4,2,1,0],[2,1,0],[1,0],[1]]=>12
[[4,2,1,0],[2,1,0],[1,1],[1]]=>13
[[4,2,1,0],[2,1,0],[2,0],[0]]=>12
[[4,2,1,0],[2,1,0],[2,0],[1]]=>13
[[4,2,1,0],[2,1,0],[2,0],[2]]=>14
[[4,2,1,0],[2,1,0],[2,1],[1]]=>14
[[4,2,1,0],[2,1,0],[2,1],[2]]=>15
[[4,2,1,0],[2,1,1],[1,1],[1]]=>14
[[4,2,1,0],[2,1,1],[2,1],[1]]=>15
[[4,2,1,0],[2,1,1],[2,1],[2]]=>16
[[4,2,1,0],[2,2,0],[2,0],[0]]=>13
[[4,2,1,0],[2,2,0],[2,0],[1]]=>14
[[4,2,1,0],[2,2,0],[2,0],[2]]=>15
[[4,2,1,0],[2,2,0],[2,1],[1]]=>15
[[4,2,1,0],[2,2,0],[2,1],[2]]=>16
[[4,2,1,0],[2,2,0],[2,2],[2]]=>17
[[4,2,1,0],[2,2,1],[2,1],[1]]=>16
[[4,2,1,0],[2,2,1],[2,1],[2]]=>17
[[4,2,1,0],[2,2,1],[2,2],[2]]=>18
[[4,2,1,0],[3,1,0],[1,0],[0]]=>12
[[4,2,1,0],[3,1,0],[1,0],[1]]=>13
[[4,2,1,0],[3,1,0],[1,1],[1]]=>14
[[4,2,1,0],[3,1,0],[2,0],[0]]=>13
[[4,2,1,0],[3,1,0],[2,0],[1]]=>14
[[4,2,1,0],[3,1,0],[2,0],[2]]=>15
[[4,2,1,0],[3,1,0],[2,1],[1]]=>15
[[4,2,1,0],[3,1,0],[2,1],[2]]=>16
[[4,2,1,0],[3,1,0],[3,0],[0]]=>14
[[4,2,1,0],[3,1,0],[3,0],[1]]=>15
[[4,2,1,0],[3,1,0],[3,0],[2]]=>16
[[4,2,1,0],[3,1,0],[3,0],[3]]=>17
[[4,2,1,0],[3,1,0],[3,1],[1]]=>16
[[4,2,1,0],[3,1,0],[3,1],[2]]=>17
[[4,2,1,0],[3,1,0],[3,1],[3]]=>18
[[4,2,1,0],[3,1,1],[1,1],[1]]=>15
[[4,2,1,0],[3,1,1],[2,1],[1]]=>16
[[4,2,1,0],[3,1,1],[2,1],[2]]=>17
[[4,2,1,0],[3,1,1],[3,1],[1]]=>17
[[4,2,1,0],[3,1,1],[3,1],[2]]=>18
[[4,2,1,0],[3,1,1],[3,1],[3]]=>19
[[4,2,1,0],[3,2,0],[2,0],[0]]=>14
[[4,2,1,0],[3,2,0],[2,0],[1]]=>15
[[4,2,1,0],[3,2,0],[2,0],[2]]=>16
[[4,2,1,0],[3,2,0],[2,1],[1]]=>16
[[4,2,1,0],[3,2,0],[2,1],[2]]=>17
[[4,2,1,0],[3,2,0],[2,2],[2]]=>18
[[4,2,1,0],[3,2,0],[3,0],[0]]=>15
[[4,2,1,0],[3,2,0],[3,0],[1]]=>16
[[4,2,1,0],[3,2,0],[3,0],[2]]=>17
[[4,2,1,0],[3,2,0],[3,0],[3]]=>18
[[4,2,1,0],[3,2,0],[3,1],[1]]=>17
[[4,2,1,0],[3,2,0],[3,1],[2]]=>18
[[4,2,1,0],[3,2,0],[3,1],[3]]=>19
[[4,2,1,0],[3,2,0],[3,2],[2]]=>19
[[4,2,1,0],[3,2,0],[3,2],[3]]=>20
[[4,2,1,0],[3,2,1],[2,1],[1]]=>17
[[4,2,1,0],[3,2,1],[2,1],[2]]=>18
[[4,2,1,0],[3,2,1],[2,2],[2]]=>19
[[4,2,1,0],[3,2,1],[3,1],[1]]=>18
[[4,2,1,0],[3,2,1],[3,1],[2]]=>19
[[4,2,1,0],[3,2,1],[3,1],[3]]=>20
[[4,2,1,0],[3,2,1],[3,2],[2]]=>20
[[4,2,1,0],[3,2,1],[3,2],[3]]=>21
[[4,2,1,0],[4,1,0],[1,0],[0]]=>13
[[4,2,1,0],[4,1,0],[1,0],[1]]=>14
[[4,2,1,0],[4,1,0],[1,1],[1]]=>15
[[4,2,1,0],[4,1,0],[2,0],[0]]=>14
[[4,2,1,0],[4,1,0],[2,0],[1]]=>15
[[4,2,1,0],[4,1,0],[2,0],[2]]=>16
[[4,2,1,0],[4,1,0],[2,1],[1]]=>16
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Description
The sum of the entries of the Gelfand-Tsetlin pattern.
Code
def statistic(g): entry_list = [] for row in g: for element in row: entry_list.append(element) entrysum = 0 for entry in entry_list: entrysum = entrysum + entry return entrysum
Created
Jun 17, 2013 at 11:07 by Jessica Striker
Updated
May 28, 2019 at 14:14 by Martin Rubey
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