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-----------------------------------------------------------------------------
Statistic identifier: St000073
-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns
-----------------------------------------------------------------------------
Description: The number of boxed entries.
An entry of a Gelfand-Tsetlin pattern is boxed if $a_{i,j} = a_{i-1,j-1}$ (the northwest neighbor is the same).
-----------------------------------------------------------------------------
References: [1] Brubaker, B., Bump, D., Friedberg, S. Weyl group multiple Dirichlet series: type A combinatorial theory [[MathSciNet:2791904]]
-----------------------------------------------------------------------------
Code:
def statistic(g):
return g.number_of_boxes()
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 0
[[2]] => 0
[[3]] => 0
[[1,0],[0]] => 0
[[1,0],[1]] => 1
[[2,0],[0]] => 0
[[2,0],[1]] => 0
[[2,0],[2]] => 1
[[1,1],[1]] => 1
[[3,0],[0]] => 0
[[3,0],[1]] => 0
[[3,0],[2]] => 0
[[3,0],[3]] => 1
[[2,1],[1]] => 0
[[2,1],[2]] => 1
[[3,1],[1]] => 0
[[3,1],[2]] => 0
[[3,1],[3]] => 1
[[2,2],[2]] => 1
[[3,2],[2]] => 0
[[3,2],[3]] => 1
[[3,3],[3]] => 1
[[1,0,0],[0,0],[0]] => 2
[[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]] => 1
[[2,0,0],[1,0],[1]] => 2
[[2,0,0],[2,0],[0]] => 2
[[2,0,0],[2,0],[1]] => 2
[[2,0,0],[2,0],[2]] => 3
[[1,1,0],[1,0],[0]] => 1
[[1,1,0],[1,0],[1]] => 2
[[1,1,0],[1,1],[1]] => 3
[[3,0,0],[0,0],[0]] => 2
[[3,0,0],[1,0],[0]] => 1
[[3,0,0],[1,0],[1]] => 2
[[3,0,0],[2,0],[0]] => 1
[[3,0,0],[2,0],[1]] => 1
[[3,0,0],[2,0],[2]] => 2
[[3,0,0],[3,0],[0]] => 2
[[3,0,0],[3,0],[1]] => 2
[[3,0,0],[3,0],[2]] => 2
[[3,0,0],[3,0],[3]] => 3
[[2,1,0],[1,0],[0]] => 0
[[2,1,0],[1,0],[1]] => 1
[[2,1,0],[1,1],[1]] => 2
[[2,1,0],[2,0],[0]] => 1
[[2,1,0],[2,0],[1]] => 1
[[2,1,0],[2,0],[2]] => 2
[[2,1,0],[2,1],[1]] => 2
[[2,1,0],[2,1],[2]] => 3
[[1,1,1],[1,1],[1]] => 3
[[3,1,0],[1,0],[0]] => 0
[[3,1,0],[1,0],[1]] => 1
[[3,1,0],[1,1],[1]] => 2
[[3,1,0],[2,0],[0]] => 0
[[3,1,0],[2,0],[1]] => 0
[[3,1,0],[2,0],[2]] => 1
[[3,1,0],[2,1],[1]] => 1
[[3,1,0],[2,1],[2]] => 2
[[3,1,0],[3,0],[0]] => 1
[[3,1,0],[3,0],[1]] => 1
[[3,1,0],[3,0],[2]] => 1
[[3,1,0],[3,0],[3]] => 2
[[3,1,0],[3,1],[1]] => 2
[[3,1,0],[3,1],[2]] => 2
[[3,1,0],[3,1],[3]] => 3
[[2,2,0],[2,0],[0]] => 1
[[2,2,0],[2,0],[1]] => 1
[[2,2,0],[2,0],[2]] => 2
[[2,2,0],[2,1],[1]] => 1
[[2,2,0],[2,1],[2]] => 2
[[2,2,0],[2,2],[2]] => 3
[[2,1,1],[1,1],[1]] => 2
[[2,1,1],[2,1],[1]] => 2
[[2,1,1],[2,1],[2]] => 3
[[3,2,0],[2,0],[0]] => 0
[[3,2,0],[2,0],[1]] => 0
[[3,2,0],[2,0],[2]] => 1
[[3,2,0],[2,1],[1]] => 0
[[3,2,0],[2,1],[2]] => 1
[[3,2,0],[2,2],[2]] => 2
[[3,2,0],[3,0],[0]] => 1
[[3,2,0],[3,0],[1]] => 1
[[3,2,0],[3,0],[2]] => 1
[[3,2,0],[3,0],[3]] => 2
[[3,2,0],[3,1],[1]] => 1
[[3,2,0],[3,1],[2]] => 1
[[3,2,0],[3,1],[3]] => 2
[[3,2,0],[3,2],[2]] => 2
[[3,2,0],[3,2],[3]] => 3
[[3,1,1],[1,1],[1]] => 2
[[3,1,1],[2,1],[1]] => 1
[[3,1,1],[2,1],[2]] => 2
[[3,1,1],[3,1],[1]] => 2
[[3,1,1],[3,1],[2]] => 2
[[3,1,1],[3,1],[3]] => 3
[[2,2,1],[2,1],[1]] => 1
[[2,2,1],[2,1],[2]] => 2
[[2,2,1],[2,2],[2]] => 3
[[3,3,0],[3,0],[0]] => 1
[[3,3,0],[3,0],[1]] => 1
[[3,3,0],[3,0],[2]] => 1
[[3,3,0],[3,0],[3]] => 2
[[3,3,0],[3,1],[1]] => 1
[[3,3,0],[3,1],[2]] => 1
[[3,3,0],[3,1],[3]] => 2
[[3,3,0],[3,2],[2]] => 1
[[3,3,0],[3,2],[3]] => 2
[[3,3,0],[3,3],[3]] => 3
[[3,2,1],[2,1],[1]] => 0
[[3,2,1],[2,1],[2]] => 1
[[3,2,1],[2,2],[2]] => 2
[[3,2,1],[3,1],[1]] => 1
[[3,2,1],[3,1],[2]] => 1
[[3,2,1],[3,1],[3]] => 2
[[3,2,1],[3,2],[2]] => 2
[[3,2,1],[3,2],[3]] => 3
[[2,2,2],[2,2],[2]] => 3
[[3,3,1],[3,3],[3]] => 3
[[3,3,1],[3,2],[3]] => 2
[[3,3,1],[3,1],[3]] => 2
[[3,3,1],[3,2],[2]] => 1
[[3,3,1],[3,1],[2]] => 1
[[3,3,1],[3,1],[1]] => 1
[[3,2,2],[3,2],[3]] => 3
[[3,2,2],[3,2],[2]] => 2
[[3,2,2],[2,2],[2]] => 2
[[1,0,0,0],[0,0,0],[0,0],[0]] => 5
[[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[1,0,0,0],[1,0,0],[1,0],[0]] => 5
[[1,0,0,0],[1,0,0],[1,0],[1]] => 6
[[2,0,0,0],[0,0,0],[0,0],[0]] => 5
[[2,0,0,0],[1,0,0],[0,0],[0]] => 4
[[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]] => 5
[[2,0,0,0],[2,0,0],[1,0],[0]] => 4
[[2,0,0,0],[2,0,0],[1,0],[1]] => 5
[[2,0,0,0],[2,0,0],[2,0],[0]] => 5
[[2,0,0,0],[2,0,0],[2,0],[1]] => 5
[[2,0,0,0],[2,0,0],[2,0],[2]] => 6
[[1,1,0,0],[1,0,0],[0,0],[0]] => 4
[[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]] => 4
[[1,1,0,0],[1,1,0],[1,0],[1]] => 5
[[1,1,0,0],[1,1,0],[1,1],[1]] => 6
[[3,0,0,0],[0,0,0],[0,0],[0]] => 5
[[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[3,0,0,0],[1,0,0],[1,0],[0]] => 4
[[3,0,0,0],[1,0,0],[1,0],[1]] => 5
[[3,0,0,0],[2,0,0],[0,0],[0]] => 4
[[3,0,0,0],[2,0,0],[1,0],[0]] => 3
[[3,0,0,0],[2,0,0],[1,0],[1]] => 4
[[3,0,0,0],[2,0,0],[2,0],[0]] => 4
[[3,0,0,0],[2,0,0],[2,0],[1]] => 4
[[3,0,0,0],[2,0,0],[2,0],[2]] => 5
[[3,0,0,0],[3,0,0],[0,0],[0]] => 5
[[3,0,0,0],[3,0,0],[1,0],[0]] => 4
[[3,0,0,0],[3,0,0],[1,0],[1]] => 5
[[3,0,0,0],[3,0,0],[2,0],[0]] => 4
[[3,0,0,0],[3,0,0],[2,0],[1]] => 4
[[3,0,0,0],[3,0,0],[2,0],[2]] => 5
[[3,0,0,0],[3,0,0],[3,0],[0]] => 5
[[3,0,0,0],[3,0,0],[3,0],[1]] => 5
[[3,0,0,0],[3,0,0],[3,0],[2]] => 5
[[3,0,0,0],[3,0,0],[3,0],[3]] => 6
[[2,1,0,0],[1,0,0],[0,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[0]] => 3
[[2,1,0,0],[1,0,0],[1,0],[1]] => 4
[[2,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,1,0,0],[1,1,0],[1,0],[1]] => 4
[[2,1,0,0],[1,1,0],[1,1],[1]] => 5
[[2,1,0,0],[2,0,0],[0,0],[0]] => 4
[[2,1,0,0],[2,0,0],[1,0],[0]] => 3
[[2,1,0,0],[2,0,0],[1,0],[1]] => 4
[[2,1,0,0],[2,0,0],[2,0],[0]] => 4
[[2,1,0,0],[2,0,0],[2,0],[1]] => 4
[[2,1,0,0],[2,0,0],[2,0],[2]] => 5
[[2,1,0,0],[2,1,0],[1,0],[0]] => 3
[[2,1,0,0],[2,1,0],[1,0],[1]] => 4
[[2,1,0,0],[2,1,0],[1,1],[1]] => 5
[[2,1,0,0],[2,1,0],[2,0],[0]] => 4
[[2,1,0,0],[2,1,0],[2,0],[1]] => 4
[[2,1,0,0],[2,1,0],[2,0],[2]] => 5
[[2,1,0,0],[2,1,0],[2,1],[1]] => 5
[[2,1,0,0],[2,1,0],[2,1],[2]] => 6
[[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[1,1,1,0],[1,1,0],[1,0],[1]] => 4
[[1,1,1,0],[1,1,0],[1,1],[1]] => 5
[[1,1,1,0],[1,1,1],[1,1],[1]] => 6
[[3,1,0,0],[1,0,0],[0,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[0]] => 3
[[3,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,0],[0]] => 3
[[3,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,1],[1]] => 5
[[3,1,0,0],[2,0,0],[0,0],[0]] => 3
[[3,1,0,0],[2,0,0],[1,0],[0]] => 2
[[3,1,0,0],[2,0,0],[1,0],[1]] => 3
[[3,1,0,0],[2,0,0],[2,0],[0]] => 3
[[3,1,0,0],[2,0,0],[2,0],[1]] => 3
[[3,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[1,0],[0]] => 2
[[3,1,0,0],[2,1,0],[1,0],[1]] => 3
[[3,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,0],[0]] => 3
[[3,1,0,0],[2,1,0],[2,0],[1]] => 3
[[3,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,1],[2]] => 5
[[3,1,0,0],[3,0,0],[0,0],[0]] => 4
[[3,1,0,0],[3,0,0],[1,0],[0]] => 3
[[3,1,0,0],[3,0,0],[1,0],[1]] => 4
[[3,1,0,0],[3,0,0],[2,0],[0]] => 3
[[3,1,0,0],[3,0,0],[2,0],[1]] => 3
[[3,1,0,0],[3,0,0],[2,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[0]] => 4
[[3,1,0,0],[3,0,0],[3,0],[1]] => 4
[[3,1,0,0],[3,0,0],[3,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[3]] => 5
[[3,1,0,0],[3,1,0],[1,0],[0]] => 3
[[3,1,0,0],[3,1,0],[1,0],[1]] => 4
[[3,1,0,0],[3,1,0],[1,1],[1]] => 5
[[3,1,0,0],[3,1,0],[2,0],[0]] => 3
[[3,1,0,0],[3,1,0],[2,0],[1]] => 3
[[3,1,0,0],[3,1,0],[2,0],[2]] => 4
[[3,1,0,0],[3,1,0],[2,1],[1]] => 4
[[3,1,0,0],[3,1,0],[2,1],[2]] => 5
[[3,1,0,0],[3,1,0],[3,0],[0]] => 4
[[3,1,0,0],[3,1,0],[3,0],[1]] => 4
[[3,1,0,0],[3,1,0],[3,0],[2]] => 4
[[3,1,0,0],[3,1,0],[3,0],[3]] => 5
[[3,1,0,0],[3,1,0],[3,1],[1]] => 5
[[3,1,0,0],[3,1,0],[3,1],[2]] => 5
[[3,1,0,0],[3,1,0],[3,1],[3]] => 6
[[2,2,0,0],[2,0,0],[0,0],[0]] => 4
[[2,2,0,0],[2,0,0],[1,0],[0]] => 3
[[2,2,0,0],[2,0,0],[1,0],[1]] => 4
[[2,2,0,0],[2,0,0],[2,0],[0]] => 4
[[2,2,0,0],[2,0,0],[2,0],[1]] => 4
[[2,2,0,0],[2,0,0],[2,0],[2]] => 5
[[2,2,0,0],[2,1,0],[1,0],[0]] => 2
[[2,2,0,0],[2,1,0],[1,0],[1]] => 3
[[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[2,2,0,0],[2,1,0],[2,0],[0]] => 3
[[2,2,0,0],[2,1,0],[2,0],[1]] => 3
[[2,2,0,0],[2,1,0],[2,0],[2]] => 4
[[2,2,0,0],[2,1,0],[2,1],[1]] => 4
[[2,2,0,0],[2,1,0],[2,1],[2]] => 5
[[2,2,0,0],[2,2,0],[2,0],[0]] => 4
[[2,2,0,0],[2,2,0],[2,0],[1]] => 4
[[2,2,0,0],[2,2,0],[2,0],[2]] => 5
[[2,2,0,0],[2,2,0],[2,1],[1]] => 4
[[2,2,0,0],[2,2,0],[2,1],[2]] => 5
[[2,2,0,0],[2,2,0],[2,2],[2]] => 6
[[2,1,1,0],[1,1,0],[1,0],[0]] => 2
[[2,1,1,0],[1,1,0],[1,0],[1]] => 3
[[2,1,1,0],[1,1,0],[1,1],[1]] => 4
[[2,1,1,0],[1,1,1],[1,1],[1]] => 5
[[2,1,1,0],[2,1,0],[1,0],[0]] => 2
[[2,1,1,0],[2,1,0],[1,0],[1]] => 3
[[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[2,1,1,0],[2,1,0],[2,0],[0]] => 3
[[2,1,1,0],[2,1,0],[2,0],[1]] => 3
[[2,1,1,0],[2,1,0],[2,0],[2]] => 4
[[2,1,1,0],[2,1,0],[2,1],[1]] => 4
[[2,1,1,0],[2,1,0],[2,1],[2]] => 5
[[2,1,1,0],[2,1,1],[1,1],[1]] => 5
[[2,1,1,0],[2,1,1],[2,1],[1]] => 5
[[2,1,1,0],[2,1,1],[2,1],[2]] => 6
[[1,1,1,1],[1,1,1],[1,1],[1]] => 6
[[3,2,0,0],[2,0,0],[0,0],[0]] => 3
[[3,2,0,0],[2,0,0],[1,0],[0]] => 2
[[3,2,0,0],[2,0,0],[1,0],[1]] => 3
[[3,2,0,0],[2,0,0],[2,0],[0]] => 3
[[3,2,0,0],[2,0,0],[2,0],[1]] => 3
[[3,2,0,0],[2,0,0],[2,0],[2]] => 4
[[3,2,0,0],[2,1,0],[1,0],[0]] => 1
[[3,2,0,0],[2,1,0],[1,0],[1]] => 2
[[3,2,0,0],[2,1,0],[1,1],[1]] => 3
[[3,2,0,0],[2,1,0],[2,0],[0]] => 2
[[3,2,0,0],[2,1,0],[2,0],[1]] => 2
[[3,2,0,0],[2,1,0],[2,0],[2]] => 3
[[3,2,0,0],[2,1,0],[2,1],[1]] => 3
[[3,2,0,0],[2,1,0],[2,1],[2]] => 4
[[3,2,0,0],[2,2,0],[2,0],[0]] => 3
[[3,2,0,0],[2,2,0],[2,0],[1]] => 3
[[3,2,0,0],[2,2,0],[2,0],[2]] => 4
[[3,2,0,0],[2,2,0],[2,1],[1]] => 3
[[3,2,0,0],[2,2,0],[2,1],[2]] => 4
[[3,2,0,0],[2,2,0],[2,2],[2]] => 5
[[3,2,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,0,0],[3,0,0],[1,0],[0]] => 3
[[3,2,0,0],[3,0,0],[1,0],[1]] => 4
[[3,2,0,0],[3,0,0],[2,0],[0]] => 3
[[3,2,0,0],[3,0,0],[2,0],[1]] => 3
[[3,2,0,0],[3,0,0],[2,0],[2]] => 4
[[3,2,0,0],[3,0,0],[3,0],[0]] => 4
[[3,2,0,0],[3,0,0],[3,0],[1]] => 4
[[3,2,0,0],[3,0,0],[3,0],[2]] => 4
[[3,2,0,0],[3,0,0],[3,0],[3]] => 5
[[3,2,0,0],[3,1,0],[1,0],[0]] => 2
[[3,2,0,0],[3,1,0],[1,0],[1]] => 3
[[3,2,0,0],[3,1,0],[1,1],[1]] => 4
[[3,2,0,0],[3,1,0],[2,0],[0]] => 2
[[3,2,0,0],[3,1,0],[2,0],[1]] => 2
[[3,2,0,0],[3,1,0],[2,0],[2]] => 3
[[3,2,0,0],[3,1,0],[2,1],[1]] => 3
[[3,2,0,0],[3,1,0],[2,1],[2]] => 4
[[3,2,0,0],[3,1,0],[3,0],[0]] => 3
[[3,2,0,0],[3,1,0],[3,0],[1]] => 3
[[3,2,0,0],[3,1,0],[3,0],[2]] => 3
[[3,2,0,0],[3,1,0],[3,0],[3]] => 4
[[3,2,0,0],[3,1,0],[3,1],[1]] => 4
[[3,2,0,0],[3,1,0],[3,1],[2]] => 4
[[3,2,0,0],[3,1,0],[3,1],[3]] => 5
[[3,2,0,0],[3,2,0],[2,0],[0]] => 3
[[3,2,0,0],[3,2,0],[2,0],[1]] => 3
[[3,2,0,0],[3,2,0],[2,0],[2]] => 4
[[3,2,0,0],[3,2,0],[2,1],[1]] => 3
[[3,2,0,0],[3,2,0],[2,1],[2]] => 4
[[3,2,0,0],[3,2,0],[2,2],[2]] => 5
[[3,2,0,0],[3,2,0],[3,0],[0]] => 4
[[3,2,0,0],[3,2,0],[3,0],[1]] => 4
[[3,2,0,0],[3,2,0],[3,0],[2]] => 4
[[3,2,0,0],[3,2,0],[3,0],[3]] => 5
[[3,2,0,0],[3,2,0],[3,1],[1]] => 4
[[3,2,0,0],[3,2,0],[3,1],[2]] => 4
[[3,2,0,0],[3,2,0],[3,1],[3]] => 5
[[3,2,0,0],[3,2,0],[3,2],[2]] => 5
[[3,2,0,0],[3,2,0],[3,2],[3]] => 6
[[3,1,1,0],[1,1,0],[1,0],[0]] => 2
[[3,1,1,0],[1,1,0],[1,0],[1]] => 3
[[3,1,1,0],[1,1,0],[1,1],[1]] => 4
[[3,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,1,1,0],[2,1,0],[1,0],[0]] => 1
[[3,1,1,0],[2,1,0],[1,0],[1]] => 2
[[3,1,1,0],[2,1,0],[1,1],[1]] => 3
[[3,1,1,0],[2,1,0],[2,0],[0]] => 2
[[3,1,1,0],[2,1,0],[2,0],[1]] => 2
[[3,1,1,0],[2,1,0],[2,0],[2]] => 3
[[3,1,1,0],[2,1,0],[2,1],[1]] => 3
[[3,1,1,0],[2,1,0],[2,1],[2]] => 4
[[3,1,1,0],[2,1,1],[1,1],[1]] => 4
[[3,1,1,0],[2,1,1],[2,1],[1]] => 4
[[3,1,1,0],[2,1,1],[2,1],[2]] => 5
[[3,1,1,0],[3,1,0],[1,0],[0]] => 2
[[3,1,1,0],[3,1,0],[1,0],[1]] => 3
[[3,1,1,0],[3,1,0],[1,1],[1]] => 4
[[3,1,1,0],[3,1,0],[2,0],[0]] => 2
[[3,1,1,0],[3,1,0],[2,0],[1]] => 2
[[3,1,1,0],[3,1,0],[2,0],[2]] => 3
[[3,1,1,0],[3,1,0],[2,1],[1]] => 3
[[3,1,1,0],[3,1,0],[2,1],[2]] => 4
[[3,1,1,0],[3,1,0],[3,0],[0]] => 3
[[3,1,1,0],[3,1,0],[3,0],[1]] => 3
[[3,1,1,0],[3,1,0],[3,0],[2]] => 3
[[3,1,1,0],[3,1,0],[3,0],[3]] => 4
[[3,1,1,0],[3,1,0],[3,1],[1]] => 4
[[3,1,1,0],[3,1,0],[3,1],[2]] => 4
[[3,1,1,0],[3,1,0],[3,1],[3]] => 5
[[3,1,1,0],[3,1,1],[1,1],[1]] => 5
[[3,1,1,0],[3,1,1],[2,1],[1]] => 4
[[3,1,1,0],[3,1,1],[2,1],[2]] => 5
[[3,1,1,0],[3,1,1],[3,1],[1]] => 5
[[3,1,1,0],[3,1,1],[3,1],[2]] => 5
[[3,1,1,0],[3,1,1],[3,1],[3]] => 6
[[2,2,1,0],[2,1,0],[1,0],[0]] => 1
[[2,2,1,0],[2,1,0],[1,0],[1]] => 2
[[2,2,1,0],[2,1,0],[1,1],[1]] => 3
[[2,2,1,0],[2,1,0],[2,0],[0]] => 2
[[2,2,1,0],[2,1,0],[2,0],[1]] => 2
[[2,2,1,0],[2,1,0],[2,0],[2]] => 3
[[2,2,1,0],[2,1,0],[2,1],[1]] => 3
[[2,2,1,0],[2,1,0],[2,1],[2]] => 4
[[2,2,1,0],[2,1,1],[1,1],[1]] => 4
[[2,2,1,0],[2,1,1],[2,1],[1]] => 4
[[2,2,1,0],[2,1,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,0],[2,2,0],[2,0],[1]] => 3
[[2,2,1,0],[2,2,0],[2,0],[2]] => 4
[[2,2,1,0],[2,2,0],[2,1],[1]] => 3
[[2,2,1,0],[2,2,0],[2,1],[2]] => 4
[[2,2,1,0],[2,2,0],[2,2],[2]] => 5
[[2,2,1,0],[2,2,1],[2,1],[1]] => 4
[[2,2,1,0],[2,2,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,1],[2,2],[2]] => 6
[[2,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,1,1,1],[2,1,1],[1,1],[1]] => 5
[[2,1,1,1],[2,1,1],[2,1],[1]] => 5
[[2,1,1,1],[2,1,1],[2,1],[2]] => 6
[[3,3,0,0],[3,2,0],[3,2],[3]] => 5
[[3,3,0,0],[3,2,0],[3,1],[3]] => 4
[[3,3,0,0],[3,1,0],[3,1],[3]] => 5
[[3,3,0,0],[3,2,0],[3,0],[3]] => 4
[[3,3,0,0],[3,1,0],[3,0],[3]] => 4
[[3,3,0,0],[3,0,0],[3,0],[3]] => 5
[[3,3,0,0],[3,2,0],[3,2],[2]] => 4
[[3,3,0,0],[3,2,0],[3,1],[2]] => 3
[[3,3,0,0],[3,2,0],[2,2],[2]] => 4
[[3,3,0,0],[3,1,0],[3,1],[2]] => 4
[[3,3,0,0],[3,2,0],[3,0],[2]] => 3
[[3,3,0,0],[3,2,0],[2,1],[2]] => 3
[[3,3,0,0],[3,1,0],[3,0],[2]] => 3
[[3,3,0,0],[3,1,0],[2,1],[2]] => 4
[[3,3,0,0],[3,0,0],[3,0],[2]] => 4
[[3,3,0,0],[3,2,0],[2,0],[2]] => 3
[[3,3,0,0],[3,1,0],[2,0],[2]] => 3
[[3,3,0,0],[3,0,0],[2,0],[2]] => 4
[[3,3,0,0],[3,2,0],[3,1],[1]] => 3
[[3,3,0,0],[3,1,0],[3,1],[1]] => 4
[[3,3,0,0],[3,2,0],[3,0],[1]] => 3
[[3,3,0,0],[3,2,0],[2,1],[1]] => 2
[[3,3,0,0],[3,1,0],[3,0],[1]] => 3
[[3,3,0,0],[3,1,0],[2,1],[1]] => 3
[[3,3,0,0],[3,0,0],[3,0],[1]] => 4
[[3,3,0,0],[3,2,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[2,0],[1]] => 2
[[3,3,0,0],[3,1,0],[1,1],[1]] => 4
[[3,3,0,0],[3,0,0],[2,0],[1]] => 3
[[3,3,0,0],[3,1,0],[1,0],[1]] => 3
[[3,3,0,0],[3,0,0],[1,0],[1]] => 4
[[3,3,0,0],[3,2,0],[3,0],[0]] => 3
[[3,3,0,0],[3,1,0],[3,0],[0]] => 3
[[3,3,0,0],[3,0,0],[3,0],[0]] => 4
[[3,3,0,0],[3,2,0],[2,0],[0]] => 2
[[3,3,0,0],[3,1,0],[2,0],[0]] => 2
[[3,3,0,0],[3,0,0],[2,0],[0]] => 3
[[3,3,0,0],[3,1,0],[1,0],[0]] => 2
[[3,3,0,0],[3,0,0],[1,0],[0]] => 3
[[3,3,0,0],[3,0,0],[0,0],[0]] => 4
[[3,2,1,0],[3,2,0],[3,2],[3]] => 5
[[3,2,1,0],[3,2,0],[3,1],[3]] => 4
[[3,2,1,0],[3,1,1],[3,1],[3]] => 5
[[3,2,1,0],[3,1,0],[3,1],[3]] => 4
[[3,2,1,0],[3,2,0],[3,0],[3]] => 4
[[3,2,1,0],[3,1,0],[3,0],[3]] => 3
[[3,2,1,0],[3,2,0],[3,2],[2]] => 4
[[3,2,1,0],[3,2,0],[3,1],[2]] => 3
[[3,2,1,0],[3,1,1],[3,1],[2]] => 4
[[3,2,1,0],[3,2,0],[2,2],[2]] => 4
[[3,2,1,0],[2,2,1],[2,2],[2]] => 5
[[3,2,1,0],[3,1,0],[3,1],[2]] => 3
[[3,2,1,0],[2,2,0],[2,2],[2]] => 4
[[3,2,1,0],[3,2,0],[3,0],[2]] => 3
[[3,2,1,0],[3,2,0],[2,1],[2]] => 3
[[3,2,1,0],[3,1,1],[2,1],[2]] => 4
[[3,2,1,0],[2,2,1],[2,1],[2]] => 4
[[3,2,1,0],[3,1,0],[3,0],[2]] => 2
[[3,2,1,0],[3,1,0],[2,1],[2]] => 3
[[3,2,1,0],[2,2,0],[2,1],[2]] => 3
[[3,2,1,0],[2,1,1],[2,1],[2]] => 4
[[3,2,1,0],[2,1,0],[2,1],[2]] => 3
[[3,2,1,0],[3,2,0],[2,0],[2]] => 3
[[3,2,1,0],[3,1,0],[2,0],[2]] => 2
[[3,2,1,0],[2,2,0],[2,0],[2]] => 3
[[3,2,1,0],[2,1,0],[2,0],[2]] => 2
[[3,2,1,0],[3,2,0],[3,1],[1]] => 3
[[3,2,1,0],[3,1,1],[3,1],[1]] => 4
[[3,2,1,0],[3,1,0],[3,1],[1]] => 3
[[3,2,1,0],[3,2,0],[3,0],[1]] => 3
[[3,2,1,0],[3,2,0],[2,1],[1]] => 2
[[3,2,1,0],[3,1,1],[2,1],[1]] => 3
[[3,2,1,0],[2,2,1],[2,1],[1]] => 3
[[3,2,1,0],[3,1,0],[3,0],[1]] => 2
[[3,2,1,0],[3,1,0],[2,1],[1]] => 2
[[3,2,1,0],[2,2,0],[2,1],[1]] => 2
[[3,2,1,0],[2,1,1],[2,1],[1]] => 3
[[3,2,1,0],[2,1,0],[2,1],[1]] => 2
[[3,2,1,0],[3,2,0],[2,0],[1]] => 2
[[3,2,1,0],[3,1,1],[1,1],[1]] => 4
[[3,2,1,0],[3,1,0],[2,0],[1]] => 1
[[3,2,1,0],[2,2,0],[2,0],[1]] => 2
[[3,2,1,0],[3,1,0],[1,1],[1]] => 3
[[3,2,1,0],[2,1,1],[1,1],[1]] => 3
[[3,2,1,0],[2,1,0],[2,0],[1]] => 1
[[3,2,1,0],[2,1,0],[1,1],[1]] => 2
[[3,2,1,0],[3,1,0],[1,0],[1]] => 2
[[3,2,1,0],[2,1,0],[1,0],[1]] => 1
[[3,2,1,0],[3,2,0],[3,0],[0]] => 3
[[3,2,1,0],[3,1,0],[3,0],[0]] => 2
[[3,2,1,0],[3,2,0],[2,0],[0]] => 2
[[3,2,1,0],[3,1,0],[2,0],[0]] => 1
[[3,2,1,0],[2,2,0],[2,0],[0]] => 2
[[3,2,1,0],[2,1,0],[2,0],[0]] => 1
[[3,2,1,0],[3,1,0],[1,0],[0]] => 1
[[3,2,1,0],[2,1,0],[1,0],[0]] => 0
[[3,1,1,1],[3,1,1],[3,1],[3]] => 6
[[3,1,1,1],[3,1,1],[3,1],[2]] => 5
[[3,1,1,1],[3,1,1],[2,1],[2]] => 5
[[3,1,1,1],[2,1,1],[2,1],[2]] => 5
[[3,1,1,1],[3,1,1],[3,1],[1]] => 5
[[3,1,1,1],[3,1,1],[2,1],[1]] => 4
[[3,1,1,1],[2,1,1],[2,1],[1]] => 4
[[3,1,1,1],[3,1,1],[1,1],[1]] => 5
[[3,1,1,1],[2,1,1],[1,1],[1]] => 4
[[3,1,1,1],[1,1,1],[1,1],[1]] => 5
[[2,2,2,0],[2,2,1],[2,2],[2]] => 5
[[2,2,2,0],[2,2,0],[2,2],[2]] => 5
[[2,2,2,0],[2,2,1],[2,1],[2]] => 4
[[2,2,2,0],[2,2,0],[2,1],[2]] => 4
[[2,2,2,0],[2,2,0],[2,0],[2]] => 4
[[2,2,2,0],[2,2,1],[2,1],[1]] => 3
[[2,2,2,0],[2,2,0],[2,1],[1]] => 3
[[2,2,2,0],[2,2,0],[2,0],[1]] => 3
[[2,2,2,0],[2,2,0],[2,0],[0]] => 3
[[2,2,1,1],[2,2,1],[2,2],[2]] => 6
[[2,2,1,1],[2,2,1],[2,1],[2]] => 5
[[2,2,1,1],[2,1,1],[2,1],[2]] => 5
[[2,2,1,1],[2,2,1],[2,1],[1]] => 4
[[2,2,1,1],[2,1,1],[2,1],[1]] => 4
[[2,2,1,1],[2,1,1],[1,1],[1]] => 4
[] => 0
[[0]] => 0
[[0,0],[0]] => 1
[[0,0,0],[0,0],[0]] => 3
[[3,3,2],[3,2],[2]] => 1
[[3,3,2],[3,2],[3]] => 2
[[3,3,2],[3,3],[3]] => 3
[[3,3,3],[3,3],[3]] => 3
[[0,0,0,0],[0,0,0],[0,0],[0]] => 6
[[2,2,2,0],[2,2,2],[2,2],[2]] => 6
[[2,2,2,1],[2,2,1],[2,1],[1]] => 3
[[2,2,2,1],[2,2,1],[2,1],[2]] => 4
[[2,2,2,1],[2,2,1],[2,2],[2]] => 5
[[2,2,2,1],[2,2,2],[2,2],[2]] => 6
[[2,2,2,2],[2,2,2],[2,2],[2]] => 6
[[3,2,1,0],[3,2,1],[2,1],[1]] => 3
[[3,2,1,0],[3,2,1],[2,1],[2]] => 4
[[3,2,1,0],[3,2,1],[2,2],[2]] => 5
[[3,2,1,0],[3,2,1],[3,1],[1]] => 4
[[3,2,1,0],[3,2,1],[3,1],[2]] => 4
[[3,2,1,0],[3,2,1],[3,1],[3]] => 5
[[3,2,1,0],[3,2,1],[3,2],[2]] => 5
[[3,2,1,0],[3,2,1],[3,2],[3]] => 6
[[3,2,1,1],[2,1,1],[1,1],[1]] => 3
[[3,2,1,1],[2,1,1],[2,1],[1]] => 3
[[3,2,1,1],[2,1,1],[2,1],[2]] => 4
[[3,2,1,1],[2,2,1],[2,1],[1]] => 3
[[3,2,1,1],[2,2,1],[2,1],[2]] => 4
[[3,2,1,1],[2,2,1],[2,2],[2]] => 5
[[3,2,1,1],[3,1,1],[1,1],[1]] => 4
[[3,2,1,1],[3,1,1],[2,1],[1]] => 3
[[3,2,1,1],[3,1,1],[2,1],[2]] => 4
[[3,2,1,1],[3,1,1],[3,1],[1]] => 4
[[3,2,1,1],[3,1,1],[3,1],[2]] => 4
[[3,2,1,1],[3,1,1],[3,1],[3]] => 5
[[3,2,1,1],[3,2,1],[2,1],[1]] => 3
[[3,2,1,1],[3,2,1],[2,1],[2]] => 4
[[3,2,1,1],[3,2,1],[2,2],[2]] => 5
[[3,2,1,1],[3,2,1],[3,1],[1]] => 4
[[3,2,1,1],[3,2,1],[3,1],[2]] => 4
[[3,2,1,1],[3,2,1],[3,1],[3]] => 5
[[3,2,1,1],[3,2,1],[3,2],[2]] => 5
[[3,2,1,1],[3,2,1],[3,2],[3]] => 6
[[3,2,2,0],[2,2,0],[2,0],[0]] => 2
[[3,2,2,0],[2,2,0],[2,0],[1]] => 2
[[3,2,2,0],[2,2,0],[2,0],[2]] => 3
[[3,2,2,0],[2,2,0],[2,1],[1]] => 2
[[3,2,2,0],[2,2,0],[2,1],[2]] => 3
[[3,2,2,0],[2,2,0],[2,2],[2]] => 4
[[3,2,2,0],[2,2,1],[2,1],[1]] => 2
[[3,2,2,0],[2,2,1],[2,1],[2]] => 3
[[3,2,2,0],[2,2,1],[2,2],[2]] => 4
[[3,2,2,0],[2,2,2],[2,2],[2]] => 5
[[3,2,2,0],[3,2,0],[2,0],[0]] => 2
[[3,2,2,0],[3,2,0],[2,0],[1]] => 2
[[3,2,2,0],[3,2,0],[2,0],[2]] => 3
[[3,2,2,0],[3,2,0],[2,1],[1]] => 2
[[3,2,2,0],[3,2,0],[2,1],[2]] => 3
[[3,2,2,0],[3,2,0],[2,2],[2]] => 4
[[3,2,2,0],[3,2,0],[3,0],[0]] => 3
[[3,2,2,0],[3,2,0],[3,0],[1]] => 3
[[3,2,2,0],[3,2,0],[3,0],[2]] => 3
[[3,2,2,0],[3,2,0],[3,0],[3]] => 4
[[3,2,2,0],[3,2,0],[3,1],[1]] => 3
[[3,2,2,0],[3,2,0],[3,1],[2]] => 3
[[3,2,2,0],[3,2,0],[3,1],[3]] => 4
[[3,2,2,0],[3,2,0],[3,2],[2]] => 4
[[3,2,2,0],[3,2,0],[3,2],[3]] => 5
[[3,2,2,0],[3,2,1],[2,1],[1]] => 2
[[3,2,2,0],[3,2,1],[2,1],[2]] => 3
[[3,2,2,0],[3,2,1],[2,2],[2]] => 4
[[3,2,2,0],[3,2,1],[3,1],[1]] => 3
[[3,2,2,0],[3,2,1],[3,1],[2]] => 3
[[3,2,2,0],[3,2,1],[3,1],[3]] => 4
[[3,2,2,0],[3,2,1],[3,2],[2]] => 4
[[3,2,2,0],[3,2,1],[3,2],[3]] => 5
[[3,2,2,0],[3,2,2],[2,2],[2]] => 5
[[3,2,2,0],[3,2,2],[3,2],[2]] => 5
[[3,2,2,0],[3,2,2],[3,2],[3]] => 6
[[3,2,2,1],[2,2,1],[2,1],[1]] => 2
[[3,2,2,1],[2,2,1],[2,1],[2]] => 3
[[3,2,2,1],[2,2,1],[2,2],[2]] => 4
[[3,2,2,1],[2,2,2],[2,2],[2]] => 5
[[3,2,2,1],[3,2,1],[2,1],[1]] => 2
[[3,2,2,1],[3,2,1],[2,1],[2]] => 3
[[3,2,2,1],[3,2,1],[2,2],[2]] => 4
[[3,2,2,1],[3,2,1],[3,1],[1]] => 3
[[3,2,2,1],[3,2,1],[3,1],[2]] => 3
[[3,2,2,1],[3,2,1],[3,1],[3]] => 4
[[3,2,2,1],[3,2,1],[3,2],[2]] => 4
[[3,2,2,1],[3,2,1],[3,2],[3]] => 5
[[3,2,2,1],[3,2,2],[2,2],[2]] => 5
[[3,2,2,1],[3,2,2],[3,2],[2]] => 5
[[3,2,2,1],[3,2,2],[3,2],[3]] => 6
[[3,2,2,2],[2,2,2],[2,2],[2]] => 5
[[3,2,2,2],[3,2,2],[2,2],[2]] => 5
[[3,2,2,2],[3,2,2],[3,2],[2]] => 5
[[3,2,2,2],[3,2,2],[3,2],[3]] => 6
[[3,3,0,0],[3,3,0],[3,0],[0]] => 4
[[3,3,0,0],[3,3,0],[3,0],[1]] => 4
[[3,3,0,0],[3,3,0],[3,0],[2]] => 4
[[3,3,0,0],[3,3,0],[3,0],[3]] => 5
[[3,3,0,0],[3,3,0],[3,1],[1]] => 4
[[3,3,0,0],[3,3,0],[3,1],[2]] => 4
[[3,3,0,0],[3,3,0],[3,1],[3]] => 5
[[3,3,0,0],[3,3,0],[3,2],[2]] => 4
[[3,3,0,0],[3,3,0],[3,2],[3]] => 5
[[3,3,0,0],[3,3,0],[3,3],[3]] => 6
[[3,3,1,0],[3,1,0],[1,0],[0]] => 1
[[3,3,1,0],[3,1,0],[1,0],[1]] => 2
[[3,3,1,0],[3,1,0],[1,1],[1]] => 3
[[3,3,1,0],[3,1,0],[2,0],[0]] => 1
[[3,3,1,0],[3,1,0],[2,0],[1]] => 1
[[3,3,1,0],[3,1,0],[2,0],[2]] => 2
[[3,3,1,0],[3,1,0],[2,1],[1]] => 2
[[3,3,1,0],[3,1,0],[2,1],[2]] => 3
[[3,3,1,0],[3,1,0],[3,0],[0]] => 2
[[3,3,1,0],[3,1,0],[3,0],[1]] => 2
[[3,3,1,0],[3,1,0],[3,0],[2]] => 2
[[3,3,1,0],[3,1,0],[3,0],[3]] => 3
[[3,3,1,0],[3,1,0],[3,1],[1]] => 3
[[3,3,1,0],[3,1,0],[3,1],[2]] => 3
[[3,3,1,0],[3,1,0],[3,1],[3]] => 4
[[3,3,1,0],[3,1,1],[1,1],[1]] => 4
[[3,3,1,0],[3,1,1],[2,1],[1]] => 3
[[3,3,1,0],[3,1,1],[2,1],[2]] => 4
[[3,3,1,0],[3,1,1],[3,1],[1]] => 4
[[3,3,1,0],[3,1,1],[3,1],[2]] => 4
[[3,3,1,0],[3,1,1],[3,1],[3]] => 5
[[3,3,1,0],[3,2,0],[2,0],[0]] => 1
[[3,3,1,0],[3,2,0],[2,0],[1]] => 1
[[3,3,1,0],[3,2,0],[2,0],[2]] => 2
[[3,3,1,0],[3,2,0],[2,1],[1]] => 1
[[3,3,1,0],[3,2,0],[2,1],[2]] => 2
[[3,3,1,0],[3,2,0],[2,2],[2]] => 3
[[3,3,1,0],[3,2,0],[3,0],[0]] => 2
[[3,3,1,0],[3,2,0],[3,0],[1]] => 2
[[3,3,1,0],[3,2,0],[3,0],[2]] => 2
[[3,3,1,0],[3,2,0],[3,0],[3]] => 3
[[3,3,1,0],[3,2,0],[3,1],[1]] => 2
[[3,3,1,0],[3,2,0],[3,1],[2]] => 2
[[3,3,1,0],[3,2,0],[3,1],[3]] => 3
[[3,3,1,0],[3,2,0],[3,2],[2]] => 3
[[3,3,1,0],[3,2,0],[3,2],[3]] => 4
[[3,3,1,0],[3,2,1],[2,1],[1]] => 2
[[3,3,1,0],[3,2,1],[2,1],[2]] => 3
[[3,3,1,0],[3,2,1],[2,2],[2]] => 4
[[3,3,1,0],[3,2,1],[3,1],[1]] => 3
[[3,3,1,0],[3,2,1],[3,1],[2]] => 3
[[3,3,1,0],[3,2,1],[3,1],[3]] => 4
[[3,3,1,0],[3,2,1],[3,2],[2]] => 4
[[3,3,1,0],[3,2,1],[3,2],[3]] => 5
[[3,3,1,0],[3,3,0],[3,0],[0]] => 3
[[3,3,1,0],[3,3,0],[3,0],[1]] => 3
[[3,3,1,0],[3,3,0],[3,0],[2]] => 3
[[3,3,1,0],[3,3,0],[3,0],[3]] => 4
[[3,3,1,0],[3,3,0],[3,1],[1]] => 3
[[3,3,1,0],[3,3,0],[3,1],[2]] => 3
[[3,3,1,0],[3,3,0],[3,1],[3]] => 4
[[3,3,1,0],[3,3,0],[3,2],[2]] => 3
[[3,3,1,0],[3,3,0],[3,2],[3]] => 4
[[3,3,1,0],[3,3,0],[3,3],[3]] => 5
[[3,3,1,0],[3,3,1],[3,1],[1]] => 4
[[3,3,1,0],[3,3,1],[3,1],[2]] => 4
[[3,3,1,0],[3,3,1],[3,1],[3]] => 5
[[3,3,1,0],[3,3,1],[3,2],[2]] => 4
[[3,3,1,0],[3,3,1],[3,2],[3]] => 5
[[3,3,1,0],[3,3,1],[3,3],[3]] => 6
[[3,3,1,1],[3,1,1],[1,1],[1]] => 4
[[3,3,1,1],[3,1,1],[2,1],[1]] => 3
[[3,3,1,1],[3,1,1],[2,1],[2]] => 4
[[3,3,1,1],[3,1,1],[3,1],[1]] => 4
[[3,3,1,1],[3,1,1],[3,1],[2]] => 4
[[3,3,1,1],[3,1,1],[3,1],[3]] => 5
[[3,3,1,1],[3,2,1],[2,1],[1]] => 2
[[3,3,1,1],[3,2,1],[2,1],[2]] => 3
[[3,3,1,1],[3,2,1],[2,2],[2]] => 4
[[3,3,1,1],[3,2,1],[3,1],[1]] => 3
[[3,3,1,1],[3,2,1],[3,1],[2]] => 3
[[3,3,1,1],[3,2,1],[3,1],[3]] => 4
[[3,3,1,1],[3,2,1],[3,2],[2]] => 4
[[3,3,1,1],[3,2,1],[3,2],[3]] => 5
[[3,3,1,1],[3,3,1],[3,1],[1]] => 4
[[3,3,1,1],[3,3,1],[3,1],[2]] => 4
[[3,3,1,1],[3,3,1],[3,1],[3]] => 5
[[3,3,1,1],[3,3,1],[3,2],[2]] => 4
[[3,3,1,1],[3,3,1],[3,2],[3]] => 5
[[3,3,1,1],[3,3,1],[3,3],[3]] => 6
[[3,3,2,0],[3,2,0],[2,0],[0]] => 1
[[3,3,2,0],[3,2,0],[2,0],[1]] => 1
[[3,3,2,0],[3,2,0],[2,0],[2]] => 2
[[3,3,2,0],[3,2,0],[2,1],[1]] => 1
[[3,3,2,0],[3,2,0],[2,1],[2]] => 2
[[3,3,2,0],[3,2,0],[2,2],[2]] => 3
[[3,3,2,0],[3,2,0],[3,0],[0]] => 2
[[3,3,2,0],[3,2,0],[3,0],[1]] => 2
[[3,3,2,0],[3,2,0],[3,0],[2]] => 2
[[3,3,2,0],[3,2,0],[3,0],[3]] => 3
[[3,3,2,0],[3,2,0],[3,1],[1]] => 2
[[3,3,2,0],[3,2,0],[3,1],[2]] => 2
[[3,3,2,0],[3,2,0],[3,1],[3]] => 3
[[3,3,2,0],[3,2,0],[3,2],[2]] => 3
[[3,3,2,0],[3,2,0],[3,2],[3]] => 4
[[3,3,2,0],[3,2,1],[2,1],[1]] => 1
[[3,3,2,0],[3,2,1],[2,1],[2]] => 2
[[3,3,2,0],[3,2,1],[2,2],[2]] => 3
[[3,3,2,0],[3,2,1],[3,1],[1]] => 2
[[3,3,2,0],[3,2,1],[3,1],[2]] => 2
[[3,3,2,0],[3,2,1],[3,1],[3]] => 3
[[3,3,2,0],[3,2,1],[3,2],[2]] => 3
[[3,3,2,0],[3,2,1],[3,2],[3]] => 4
[[3,3,2,0],[3,2,2],[2,2],[2]] => 4
[[3,3,2,0],[3,2,2],[3,2],[2]] => 4
[[3,3,2,0],[3,2,2],[3,2],[3]] => 5
[[3,3,2,0],[3,3,0],[3,0],[0]] => 3
[[3,3,2,0],[3,3,0],[3,0],[1]] => 3
[[3,3,2,0],[3,3,0],[3,0],[2]] => 3
[[3,3,2,0],[3,3,0],[3,0],[3]] => 4
[[3,3,2,0],[3,3,0],[3,1],[1]] => 3
[[3,3,2,0],[3,3,0],[3,1],[2]] => 3
[[3,3,2,0],[3,3,0],[3,1],[3]] => 4
[[3,3,2,0],[3,3,0],[3,2],[2]] => 3
[[3,3,2,0],[3,3,0],[3,2],[3]] => 4
[[3,3,2,0],[3,3,0],[3,3],[3]] => 5
[[3,3,2,0],[3,3,1],[3,1],[1]] => 3
[[3,3,2,0],[3,3,1],[3,1],[2]] => 3
[[3,3,2,0],[3,3,1],[3,1],[3]] => 4
[[3,3,2,0],[3,3,1],[3,2],[2]] => 3
[[3,3,2,0],[3,3,1],[3,2],[3]] => 4
[[3,3,2,0],[3,3,1],[3,3],[3]] => 5
[[3,3,2,0],[3,3,2],[3,2],[2]] => 4
[[3,3,2,0],[3,3,2],[3,2],[3]] => 5
[[3,3,2,0],[3,3,2],[3,3],[3]] => 6
[[3,3,2,1],[3,2,1],[2,1],[1]] => 1
[[3,3,2,1],[3,2,1],[2,1],[2]] => 2
[[3,3,2,1],[3,2,1],[2,2],[2]] => 3
[[3,3,2,1],[3,2,1],[3,1],[1]] => 2
[[3,3,2,1],[3,2,1],[3,1],[2]] => 2
[[3,3,2,1],[3,2,1],[3,1],[3]] => 3
[[3,3,2,1],[3,2,1],[3,2],[2]] => 3
[[3,3,2,1],[3,2,1],[3,2],[3]] => 4
[[3,3,2,1],[3,2,2],[2,2],[2]] => 4
[[3,3,2,1],[3,2,2],[3,2],[2]] => 4
[[3,3,2,1],[3,2,2],[3,2],[3]] => 5
[[3,3,2,1],[3,3,1],[3,1],[1]] => 3
[[3,3,2,1],[3,3,1],[3,1],[2]] => 3
[[3,3,2,1],[3,3,1],[3,1],[3]] => 4
[[3,3,2,1],[3,3,1],[3,2],[2]] => 3
[[3,3,2,1],[3,3,1],[3,2],[3]] => 4
[[3,3,2,1],[3,3,1],[3,3],[3]] => 5
[[3,3,2,1],[3,3,2],[3,2],[2]] => 4
[[3,3,2,1],[3,3,2],[3,2],[3]] => 5
[[3,3,2,1],[3,3,2],[3,3],[3]] => 6
[[3,3,2,2],[3,2,2],[2,2],[2]] => 4
[[3,3,2,2],[3,2,2],[3,2],[2]] => 4
[[3,3,2,2],[3,2,2],[3,2],[3]] => 5
[[3,3,2,2],[3,3,2],[3,2],[2]] => 4
[[3,3,2,2],[3,3,2],[3,2],[3]] => 5
[[3,3,2,2],[3,3,2],[3,3],[3]] => 6
[[3,3,3,0],[3,3,0],[3,0],[0]] => 3
[[3,3,3,0],[3,3,0],[3,0],[1]] => 3
[[3,3,3,0],[3,3,0],[3,0],[2]] => 3
[[3,3,3,0],[3,3,0],[3,0],[3]] => 4
[[3,3,3,0],[3,3,0],[3,1],[1]] => 3
[[3,3,3,0],[3,3,0],[3,1],[2]] => 3
[[3,3,3,0],[3,3,0],[3,1],[3]] => 4
[[3,3,3,0],[3,3,0],[3,2],[2]] => 3
[[3,3,3,0],[3,3,0],[3,2],[3]] => 4
[[3,3,3,0],[3,3,0],[3,3],[3]] => 5
[[3,3,3,0],[3,3,1],[3,1],[1]] => 3
[[3,3,3,0],[3,3,1],[3,1],[2]] => 3
[[3,3,3,0],[3,3,1],[3,1],[3]] => 4
[[3,3,3,0],[3,3,1],[3,2],[2]] => 3
[[3,3,3,0],[3,3,1],[3,2],[3]] => 4
[[3,3,3,0],[3,3,1],[3,3],[3]] => 5
[[3,3,3,0],[3,3,2],[3,2],[2]] => 3
[[3,3,3,0],[3,3,2],[3,2],[3]] => 4
[[3,3,3,0],[3,3,2],[3,3],[3]] => 5
[[3,3,3,0],[3,3,3],[3,3],[3]] => 6
[[3,3,3,1],[3,3,1],[3,1],[1]] => 3
[[3,3,3,1],[3,3,1],[3,1],[2]] => 3
[[3,3,3,1],[3,3,1],[3,1],[3]] => 4
[[3,3,3,1],[3,3,1],[3,2],[2]] => 3
[[3,3,3,1],[3,3,1],[3,2],[3]] => 4
[[3,3,3,1],[3,3,1],[3,3],[3]] => 5
[[3,3,3,1],[3,3,2],[3,2],[2]] => 3
[[3,3,3,1],[3,3,2],[3,2],[3]] => 4
[[3,3,3,1],[3,3,2],[3,3],[3]] => 5
[[3,3,3,1],[3,3,3],[3,3],[3]] => 6
[[3,3,3,2],[3,3,2],[3,2],[2]] => 3
[[3,3,3,2],[3,3,2],[3,2],[3]] => 4
[[3,3,3,2],[3,3,2],[3,3],[3]] => 5
[[3,3,3,2],[3,3,3],[3,3],[3]] => 6
[[3,3,3,3],[3,3,3],[3,3],[3]] => 6
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Created: Jun 11, 2013 at 14:22 by Travis Scrimshaw
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Last Updated: May 29, 2015 at 16:27 by Martin Rubey