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-----------------------------------------------------------------------------
Statistic identifier: St000152

-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns

-----------------------------------------------------------------------------
Description: The number of boxed plus the number of special entries.

This is the sum of statistics [[St000073]] and [[St000074]].

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(g):
    return g.number_of_boxes() + g.number_of_special_entries()

-----------------------------------------------------------------------------
Statistic values:

[[1]]                                                                                                                                                                                 => 0
[[2]]                                                                                                                                                                                 => 0
[[3]]                                                                                                                                                                                 => 0
[[4]]                                                                                                                                                                                 => 0
[[1,0],[0]]                                                                                                                                                                           => 0
[[1,0],[1]]                                                                                                                                                                           => 1
[[2,0],[0]]                                                                                                                                                                           => 0
[[2,0],[1]]                                                                                                                                                                           => 1
[[2,0],[2]]                                                                                                                                                                           => 1
[[1,1],[1]]                                                                                                                                                                           => 1
[[3,0],[0]]                                                                                                                                                                           => 0
[[3,0],[1]]                                                                                                                                                                           => 1
[[3,0],[2]]                                                                                                                                                                           => 1
[[3,0],[3]]                                                                                                                                                                           => 1
[[2,1],[1]]                                                                                                                                                                           => 0
[[2,1],[2]]                                                                                                                                                                           => 1
[[4,0],[0]]                                                                                                                                                                           => 0
[[4,0],[1]]                                                                                                                                                                           => 1
[[4,0],[2]]                                                                                                                                                                           => 1
[[4,0],[3]]                                                                                                                                                                           => 1
[[4,0],[4]]                                                                                                                                                                           => 1
[[3,1],[1]]                                                                                                                                                                           => 0
[[3,1],[2]]                                                                                                                                                                           => 1
[[3,1],[3]]                                                                                                                                                                           => 1
[[2,2],[2]]                                                                                                                                                                           => 1
[[4,1],[1]]                                                                                                                                                                           => 0
[[4,1],[2]]                                                                                                                                                                           => 1
[[4,1],[3]]                                                                                                                                                                           => 1
[[4,1],[4]]                                                                                                                                                                           => 1
[[3,2],[2]]                                                                                                                                                                           => 0
[[3,2],[3]]                                                                                                                                                                           => 1
[[4,2],[2]]                                                                                                                                                                           => 0
[[4,2],[3]]                                                                                                                                                                           => 1
[[4,2],[4]]                                                                                                                                                                           => 1
[[3,3],[3]]                                                                                                                                                                           => 1
[[4,3],[3]]                                                                                                                                                                           => 0
[[4,3],[4]]                                                                                                                                                                           => 1
[[4,4],[4]]                                                                                                                                                                           => 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]]                                                                                                                                                                   => 2
[[2,0,0],[1,0],[1]]                                                                                                                                                                   => 3
[[2,0,0],[2,0],[0]]                                                                                                                                                                   => 2
[[2,0,0],[2,0],[1]]                                                                                                                                                                   => 3
[[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]]                                                                                                                                                                   => 2
[[3,0,0],[1,0],[1]]                                                                                                                                                                   => 3
[[3,0,0],[2,0],[0]]                                                                                                                                                                   => 2
[[3,0,0],[2,0],[1]]                                                                                                                                                                   => 3
[[3,0,0],[2,0],[2]]                                                                                                                                                                   => 3
[[3,0,0],[3,0],[0]]                                                                                                                                                                   => 2
[[3,0,0],[3,0],[1]]                                                                                                                                                                   => 3
[[3,0,0],[3,0],[2]]                                                                                                                                                                   => 3
[[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]]                                                                                                                                                                   => 2
[[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
[[4,0,0],[0,0],[0]]                                                                                                                                                                   => 2
[[4,0,0],[1,0],[0]]                                                                                                                                                                   => 2
[[4,0,0],[1,0],[1]]                                                                                                                                                                   => 3
[[4,0,0],[2,0],[0]]                                                                                                                                                                   => 2
[[4,0,0],[2,0],[1]]                                                                                                                                                                   => 3
[[4,0,0],[2,0],[2]]                                                                                                                                                                   => 3
[[4,0,0],[3,0],[0]]                                                                                                                                                                   => 2
[[4,0,0],[3,0],[1]]                                                                                                                                                                   => 3
[[4,0,0],[3,0],[2]]                                                                                                                                                                   => 3
[[4,0,0],[3,0],[3]]                                                                                                                                                                   => 3
[[4,0,0],[4,0],[0]]                                                                                                                                                                   => 2
[[4,0,0],[4,0],[1]]                                                                                                                                                                   => 3
[[4,0,0],[4,0],[2]]                                                                                                                                                                   => 3
[[4,0,0],[4,0],[3]]                                                                                                                                                                   => 3
[[4,0,0],[4,0],[4]]                                                                                                                                                                   => 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]]                                                                                                                                                                   => 1
[[3,1,0],[2,0],[1]]                                                                                                                                                                   => 2
[[3,1,0],[2,0],[2]]                                                                                                                                                                   => 2
[[3,1,0],[2,1],[1]]                                                                                                                                                                   => 2
[[3,1,0],[2,1],[2]]                                                                                                                                                                   => 3
[[3,1,0],[3,0],[0]]                                                                                                                                                                   => 1
[[3,1,0],[3,0],[1]]                                                                                                                                                                   => 2
[[3,1,0],[3,0],[2]]                                                                                                                                                                   => 2
[[3,1,0],[3,0],[3]]                                                                                                                                                                   => 2
[[3,1,0],[3,1],[1]]                                                                                                                                                                   => 2
[[3,1,0],[3,1],[2]]                                                                                                                                                                   => 3
[[3,1,0],[3,1],[3]]                                                                                                                                                                   => 3
[[2,2,0],[2,0],[0]]                                                                                                                                                                   => 1
[[2,2,0],[2,0],[1]]                                                                                                                                                                   => 2
[[2,2,0],[2,0],[2]]                                                                                                                                                                   => 2
[[2,2,0],[2,1],[1]]                                                                                                                                                                   => 2
[[2,2,0],[2,1],[2]]                                                                                                                                                                   => 3
[[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
[[4,1,0],[1,0],[0]]                                                                                                                                                                   => 0
[[4,1,0],[1,0],[1]]                                                                                                                                                                   => 1
[[4,1,0],[1,1],[1]]                                                                                                                                                                   => 2
[[4,1,0],[2,0],[0]]                                                                                                                                                                   => 1
[[4,1,0],[2,0],[1]]                                                                                                                                                                   => 2
[[4,1,0],[2,0],[2]]                                                                                                                                                                   => 2
[[4,1,0],[2,1],[1]]                                                                                                                                                                   => 2
[[4,1,0],[2,1],[2]]                                                                                                                                                                   => 3
[[4,1,0],[3,0],[0]]                                                                                                                                                                   => 1
[[4,1,0],[3,0],[1]]                                                                                                                                                                   => 2
[[4,1,0],[3,0],[2]]                                                                                                                                                                   => 2
[[4,1,0],[3,0],[3]]                                                                                                                                                                   => 2
[[4,1,0],[3,1],[1]]                                                                                                                                                                   => 2
[[4,1,0],[3,1],[2]]                                                                                                                                                                   => 3
[[4,1,0],[3,1],[3]]                                                                                                                                                                   => 3
[[4,1,0],[4,0],[0]]                                                                                                                                                                   => 1
[[4,1,0],[4,0],[1]]                                                                                                                                                                   => 2
[[4,1,0],[4,0],[2]]                                                                                                                                                                   => 2
[[4,1,0],[4,0],[3]]                                                                                                                                                                   => 2
[[4,1,0],[4,0],[4]]                                                                                                                                                                   => 2
[[4,1,0],[4,1],[1]]                                                                                                                                                                   => 2
[[4,1,0],[4,1],[2]]                                                                                                                                                                   => 3
[[4,1,0],[4,1],[3]]                                                                                                                                                                   => 3
[[4,1,0],[4,1],[4]]                                                                                                                                                                   => 3
[[3,2,0],[2,0],[0]]                                                                                                                                                                   => 0
[[3,2,0],[2,0],[1]]                                                                                                                                                                   => 1
[[3,2,0],[2,0],[2]]                                                                                                                                                                   => 1
[[3,2,0],[2,1],[1]]                                                                                                                                                                   => 1
[[3,2,0],[2,1],[2]]                                                                                                                                                                   => 2
[[3,2,0],[2,2],[2]]                                                                                                                                                                   => 2
[[3,2,0],[3,0],[0]]                                                                                                                                                                   => 1
[[3,2,0],[3,0],[1]]                                                                                                                                                                   => 2
[[3,2,0],[3,0],[2]]                                                                                                                                                                   => 2
[[3,2,0],[3,0],[3]]                                                                                                                                                                   => 2
[[3,2,0],[3,1],[1]]                                                                                                                                                                   => 2
[[3,2,0],[3,1],[2]]                                                                                                                                                                   => 3
[[3,2,0],[3,1],[3]]                                                                                                                                                                   => 3
[[3,2,0],[3,2],[2]]                                                                                                                                                                   => 2
[[3,2,0],[3,2],[3]]                                                                                                                                                                   => 3
[[3,1,1],[1,1],[1]]                                                                                                                                                                   => 2
[[3,1,1],[2,1],[1]]                                                                                                                                                                   => 2
[[3,1,1],[2,1],[2]]                                                                                                                                                                   => 3
[[3,1,1],[3,1],[1]]                                                                                                                                                                   => 2
[[3,1,1],[3,1],[2]]                                                                                                                                                                   => 3
[[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
[[4,2,0],[2,0],[0]]                                                                                                                                                                   => 0
[[4,2,0],[2,0],[1]]                                                                                                                                                                   => 1
[[4,2,0],[2,0],[2]]                                                                                                                                                                   => 1
[[4,2,0],[2,1],[1]]                                                                                                                                                                   => 1
[[4,2,0],[2,1],[2]]                                                                                                                                                                   => 2
[[4,2,0],[2,2],[2]]                                                                                                                                                                   => 2
[[4,2,0],[3,0],[0]]                                                                                                                                                                   => 1
[[4,2,0],[3,0],[1]]                                                                                                                                                                   => 2
[[4,2,0],[3,0],[2]]                                                                                                                                                                   => 2
[[4,2,0],[3,0],[3]]                                                                                                                                                                   => 2
[[4,2,0],[3,1],[1]]                                                                                                                                                                   => 2
[[4,2,0],[3,1],[2]]                                                                                                                                                                   => 3
[[4,2,0],[3,1],[3]]                                                                                                                                                                   => 3
[[4,2,0],[3,2],[2]]                                                                                                                                                                   => 2
[[4,2,0],[3,2],[3]]                                                                                                                                                                   => 3
[[4,2,0],[4,0],[0]]                                                                                                                                                                   => 1
[[4,2,0],[4,0],[1]]                                                                                                                                                                   => 2
[[4,2,0],[4,0],[2]]                                                                                                                                                                   => 2
[[4,2,0],[4,0],[3]]                                                                                                                                                                   => 2
[[4,2,0],[4,0],[4]]                                                                                                                                                                   => 2
[[4,2,0],[4,1],[1]]                                                                                                                                                                   => 2
[[4,2,0],[4,1],[2]]                                                                                                                                                                   => 3
[[4,2,0],[4,1],[3]]                                                                                                                                                                   => 3
[[4,2,0],[4,1],[4]]                                                                                                                                                                   => 3
[[4,2,0],[4,2],[2]]                                                                                                                                                                   => 2
[[4,2,0],[4,2],[3]]                                                                                                                                                                   => 3
[[4,2,0],[4,2],[4]]                                                                                                                                                                   => 3
[[4,1,1],[1,1],[1]]                                                                                                                                                                   => 2
[[4,1,1],[2,1],[1]]                                                                                                                                                                   => 2
[[4,1,1],[2,1],[2]]                                                                                                                                                                   => 3
[[4,1,1],[3,1],[1]]                                                                                                                                                                   => 2
[[4,1,1],[3,1],[2]]                                                                                                                                                                   => 3
[[4,1,1],[3,1],[3]]                                                                                                                                                                   => 3
[[4,1,1],[4,1],[1]]                                                                                                                                                                   => 2
[[4,1,1],[4,1],[2]]                                                                                                                                                                   => 3
[[4,1,1],[4,1],[3]]                                                                                                                                                                   => 3
[[4,1,1],[4,1],[4]]                                                                                                                                                                   => 3
[[3,3,0],[3,0],[0]]                                                                                                                                                                   => 1
[[3,3,0],[3,0],[1]]                                                                                                                                                                   => 2
[[3,3,0],[3,0],[2]]                                                                                                                                                                   => 2
[[3,3,0],[3,0],[3]]                                                                                                                                                                   => 2
[[3,3,0],[3,1],[1]]                                                                                                                                                                   => 2
[[3,3,0],[3,1],[2]]                                                                                                                                                                   => 3
[[3,3,0],[3,1],[3]]                                                                                                                                                                   => 3
[[3,3,0],[3,2],[2]]                                                                                                                                                                   => 2
[[3,3,0],[3,2],[3]]                                                                                                                                                                   => 3
[[3,3,0],[3,3],[3]]                                                                                                                                                                   => 3
[[3,2,1],[2,1],[1]]                                                                                                                                                                   => 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]]                                                                                                                                                                   => 2
[[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
[[4,3,0],[4,2],[4]]                                                                                                                                                                   => 3
[[4,3,0],[4,1],[4]]                                                                                                                                                                   => 3
[[4,3,0],[4,0],[4]]                                                                                                                                                                   => 2
[[4,3,0],[4,2],[3]]                                                                                                                                                                   => 3
[[4,3,0],[3,3],[3]]                                                                                                                                                                   => 2
[[4,3,0],[4,1],[3]]                                                                                                                                                                   => 3
[[4,3,0],[3,2],[3]]                                                                                                                                                                   => 2
[[4,3,0],[4,0],[3]]                                                                                                                                                                   => 2
[[4,3,0],[3,1],[3]]                                                                                                                                                                   => 2
[[4,3,0],[3,0],[3]]                                                                                                                                                                   => 1
[[4,3,0],[4,2],[2]]                                                                                                                                                                   => 2
[[4,3,0],[4,1],[2]]                                                                                                                                                                   => 3
[[4,3,0],[3,2],[2]]                                                                                                                                                                   => 1
[[4,3,0],[4,0],[2]]                                                                                                                                                                   => 2
[[4,3,0],[3,1],[2]]                                                                                                                                                                   => 2
[[4,3,0],[3,0],[2]]                                                                                                                                                                   => 1
[[4,3,0],[4,1],[1]]                                                                                                                                                                   => 2
[[4,3,0],[4,0],[1]]                                                                                                                                                                   => 2
[[4,3,0],[3,1],[1]]                                                                                                                                                                   => 1
[[4,3,0],[3,0],[1]]                                                                                                                                                                   => 1
[[4,3,0],[4,0],[0]]                                                                                                                                                                   => 1
[[4,3,0],[3,0],[0]]                                                                                                                                                                   => 0
[[4,2,1],[4,2],[4]]                                                                                                                                                                   => 3
[[4,2,1],[4,1],[4]]                                                                                                                                                                   => 2
[[4,2,1],[4,2],[3]]                                                                                                                                                                   => 3
[[4,2,1],[4,1],[3]]                                                                                                                                                                   => 2
[[4,2,1],[3,2],[3]]                                                                                                                                                                   => 3
[[4,2,1],[3,1],[3]]                                                                                                                                                                   => 2
[[4,2,1],[4,2],[2]]                                                                                                                                                                   => 2
[[4,2,1],[4,1],[2]]                                                                                                                                                                   => 2
[[4,2,1],[3,2],[2]]                                                                                                                                                                   => 2
[[4,2,1],[3,1],[2]]                                                                                                                                                                   => 2
[[4,2,1],[2,2],[2]]                                                                                                                                                                   => 2
[[4,2,1],[2,1],[2]]                                                                                                                                                                   => 1
[[4,2,1],[4,1],[1]]                                                                                                                                                                   => 1
[[4,2,1],[3,1],[1]]                                                                                                                                                                   => 1
[[4,2,1],[2,1],[1]]                                                                                                                                                                   => 0
[[3,3,1],[3,3],[3]]                                                                                                                                                                   => 3
[[3,3,1],[3,2],[3]]                                                                                                                                                                   => 3
[[3,3,1],[3,1],[3]]                                                                                                                                                                   => 2
[[3,3,1],[3,2],[2]]                                                                                                                                                                   => 2
[[3,3,1],[3,1],[2]]                                                                                                                                                                   => 2
[[3,3,1],[3,1],[1]]                                                                                                                                                                   => 1
[[3,2,2],[3,2],[3]]                                                                                                                                                                   => 3
[[3,2,2],[3,2],[2]]                                                                                                                                                                   => 2
[[3,2,2],[2,2],[2]]                                                                                                                                                                   => 2
[[1,0,0,0],[0,0,0],[0,0],[0]]                                                                                                                                                         => 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]]                                                                                                                                                         => 5
[[2,0,0,0],[1,0,0],[1,0],[0]]                                                                                                                                                         => 5
[[2,0,0,0],[1,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[2,0,0,0],[2,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[2,0,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[3,0,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[3,0,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 5
[[3,0,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 6
[[3,0,0,0],[2,0,0],[2,0],[2]]                                                                                                                                                         => 6
[[3,0,0,0],[3,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[3,0,0,0],[3,0,0],[1,0],[0]]                                                                                                                                                         => 5
[[3,0,0,0],[3,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[3,0,0,0],[3,0,0],[2,0],[0]]                                                                                                                                                         => 5
[[3,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                                                         => 6
[[3,0,0,0],[3,0,0],[2,0],[2]]                                                                                                                                                         => 6
[[3,0,0,0],[3,0,0],[3,0],[0]]                                                                                                                                                         => 5
[[3,0,0,0],[3,0,0],[3,0],[1]]                                                                                                                                                         => 6
[[3,0,0,0],[3,0,0],[3,0],[2]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[2,1,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[2,1,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[2,1,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[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
[[4,0,0,0],[0,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[1,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[1,0,0],[1,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[1,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[2,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[2,0,0],[1,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[2,0,0],[2,0],[2]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[0,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[3,0,0],[1,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[3,0,0],[1,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[2,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[2,0],[2]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[3,0],[0]]                                                                                                                                                         => 5
[[4,0,0,0],[3,0,0],[3,0],[1]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[3,0],[2]]                                                                                                                                                         => 6
[[4,0,0,0],[3,0,0],[3,0],[3]]                                                                                                                                                         => 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]]                                                                                                                                                         => 4
[[3,1,0,0],[2,0,0],[1,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[2,0,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,1,0,0],[2,1,0],[1,0],[0]]                                                                                                                                                         => 3
[[3,1,0,0],[2,1,0],[1,0],[1]]                                                                                                                                                         => 4
[[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[2,1,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[2,1,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,1,0,0],[2,1,0],[2,1],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[2,1,0],[2,1],[2]]                                                                                                                                                         => 6
[[3,1,0,0],[3,0,0],[0,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[3,0,0],[1,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[3,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,0,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,1,0,0],[3,0,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[3,0,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,0,0],[3,0],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,1,0,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,1,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,1,0,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 6
[[3,1,0,0],[3,1,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,1,0,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,1,0,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[2,2,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[2,2,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,0,0],[2,0],[2]]                                                                                                                                                         => 5
[[2,2,0,0],[2,1,0],[1,0],[0]]                                                                                                                                                         => 3
[[2,2,0,0],[2,1,0],[1,0],[1]]                                                                                                                                                         => 4
[[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,1,0],[2,0],[0]]                                                                                                                                                         => 4
[[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,1,0],[2,0],[2]]                                                                                                                                                         => 5
[[2,2,0,0],[2,1,0],[2,1],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,1,0],[2,1],[2]]                                                                                                                                                         => 6
[[2,2,0,0],[2,2,0],[2,0],[0]]                                                                                                                                                         => 4
[[2,2,0,0],[2,2,0],[2,0],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,2,0],[2,0],[2]]                                                                                                                                                         => 5
[[2,2,0,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 5
[[2,2,0,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 3
[[3,2,0,0],[2,0,0],[1,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,0,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,2,0,0],[2,0,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,0,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,2,0,0],[2,1,0],[1,0],[0]]                                                                                                                                                         => 2
[[3,2,0,0],[2,1,0],[1,0],[1]]                                                                                                                                                         => 3
[[3,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,1,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,1,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,2,0,0],[2,1,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,1,0],[2,1],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[2,2,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,2,0,0],[2,2,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,2,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,2,0,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,2,0,0],[3,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,2,0,0],[3,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,0,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[3,0,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,2,0,0],[3,0,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,0,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[3,0,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[1,0],[0]]                                                                                                                                                         => 3
[[3,2,0,0],[3,1,0],[1,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[3,1,0],[1,1],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,2,0,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 6
[[3,2,0,0],[3,1,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,2,0,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[3,1],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,1,0],[3,1],[2]]                                                                                                                                                         => 6
[[3,2,0,0],[3,1,0],[3,1],[3]]                                                                                                                                                         => 6
[[3,2,0,0],[3,2,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,2,0,0],[3,2,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[3,2,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,2,0,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,2,0,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[3,2,0,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,2,0,0],[3,2,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,2,0,0],[3,2,0],[3,1],[1]]                                                                                                                                                         => 5
[[3,2,0,0],[3,2,0],[3,1],[2]]                                                                                                                                                         => 6
[[3,2,0,0],[3,2,0],[3,1],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 2
[[3,1,1,0],[2,1,0],[1,0],[1]]                                                                                                                                                         => 3
[[3,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[2,1,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[2,1,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,1,1,0],[2,1,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[2,1,0],[2,1],[2]]                                                                                                                                                         => 5
[[3,1,1,0],[2,1,1],[1,1],[1]]                                                                                                                                                         => 5
[[3,1,1,0],[2,1,1],[2,1],[1]]                                                                                                                                                         => 5
[[3,1,1,0],[2,1,1],[2,1],[2]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 3
[[3,1,1,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[3,1,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,1,1,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 5
[[3,1,1,0],[3,1,0],[3,0],[0]]                                                                                                                                                         => 3
[[3,1,1,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 4
[[3,1,1,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[3,1,1,0],[3,1,1],[2,1],[2]]                                                                                                                                                         => 6
[[3,1,1,0],[3,1,1],[3,1],[1]]                                                                                                                                                         => 5
[[3,1,1,0],[3,1,1],[3,1],[2]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 4
[[2,2,1,0],[2,2,0],[2,0],[2]]                                                                                                                                                         => 4
[[2,2,1,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 4
[[2,2,1,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 6
[[3,3,0,0],[3,2,0],[3,1],[3]]                                                                                                                                                         => 6
[[3,3,0,0],[3,1,0],[3,1],[3]]                                                                                                                                                         => 6
[[3,3,0,0],[3,2,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,3,0,0],[3,0,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[3,1],[2]]                                                                                                                                                         => 6
[[3,3,0,0],[3,2,0],[2,2],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[3,1],[2]]                                                                                                                                                         => 6
[[3,3,0,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 6
[[3,3,0,0],[3,0,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[2,0],[2]]                                                                                                                                                         => 4
[[3,3,0,0],[3,1,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,0,0],[2,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[3,1],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[3,1],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 4
[[3,3,0,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,0,0],[3,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[2,0],[1]]                                                                                                                                                         => 4
[[3,3,0,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[1,1],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,0,0],[2,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,1,0],[1,0],[1]]                                                                                                                                                         => 4
[[3,3,0,0],[3,0,0],[1,0],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,2,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,3,0,0],[3,1,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,3,0,0],[3,0,0],[3,0],[0]]                                                                                                                                                         => 4
[[3,3,0,0],[3,2,0],[2,0],[0]]                                                                                                                                                         => 3
[[3,3,0,0],[3,1,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,3,0,0],[3,0,0],[2,0],[0]]                                                                                                                                                         => 4
[[3,3,0,0],[3,1,0],[1,0],[0]]                                                                                                                                                         => 3
[[3,3,0,0],[3,0,0],[1,0],[0]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[3,2,1,0],[3,1,1],[3,1],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,2,1,0],[2,2,0],[2,2],[2]]                                                                                                                                                         => 4
[[3,2,1,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,2,1,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,1,0],[3,1,1],[2,1],[2]]                                                                                                                                                         => 5
[[3,2,1,0],[2,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,1,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 3
[[3,2,1,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,1,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 4
[[3,2,1,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,1,0],[3,1,1],[2,1],[1]]                                                                                                                                                         => 4
[[3,2,1,0],[2,2,1],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,1,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 3
[[3,2,1,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,1,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 3
[[3,2,1,0],[3,1,1],[1,1],[1]]                                                                                                                                                         => 4
[[3,2,1,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 3
[[3,2,1,0],[2,2,0],[2,0],[1]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 2
[[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]]                                                                                                                                                         => 2
[[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]]                                                                                                                                                         => 6
[[3,1,1,1],[3,1,1],[2,1],[2]]                                                                                                                                                         => 6
[[3,1,1,1],[2,1,1],[2,1],[2]]                                                                                                                                                         => 6
[[3,1,1,1],[3,1,1],[3,1],[1]]                                                                                                                                                         => 5
[[3,1,1,1],[3,1,1],[2,1],[1]]                                                                                                                                                         => 5
[[3,1,1,1],[2,1,1],[2,1],[1]]                                                                                                                                                         => 5
[[3,1,1,1],[3,1,1],[1,1],[1]]                                                                                                                                                         => 5
[[3,1,1,1],[2,1,1],[1,1],[1]]                                                                                                                                                         => 5
[[3,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                                                         => 5
[[2,2,2,0],[2,2,1],[2,2],[2]]                                                                                                                                                         => 6
[[2,2,2,0],[2,2,0],[2,2],[2]]                                                                                                                                                         => 5
[[2,2,2,0],[2,2,1],[2,1],[2]]                                                                                                                                                         => 5
[[2,2,2,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 5
[[2,2,2,0],[2,2,0],[2,0],[2]]                                                                                                                                                         => 4
[[2,2,2,0],[2,2,1],[2,1],[1]]                                                                                                                                                         => 4
[[2,2,2,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 4
[[2,2,2,0],[2,2,0],[2,0],[1]]                                                                                                                                                         => 4
[[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
[[4,3,2,1],[4,3,2],[4,3],[4]]                                                                                                                                                         => 0
[[4,3,2,1],[4,3,2],[4,3],[3]]                                                                                                                                                         => 1
[[4,3,2,1],[4,3,2],[4,2],[4]]                                                                                                                                                         => 1
[[4,3,2,1],[4,3,2],[4,2],[3]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,2],[3,2],[3]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,2],[4,2],[2]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,2],[3,2],[2]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[4,3],[4]]                                                                                                                                                         => 1
[[4,3,2,1],[4,3,1],[4,3],[3]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,1],[4,2],[4]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,1],[4,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[3,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[4,2],[2]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[4,2],[4]]                                                                                                                                                         => 2
[[4,3,2,1],[4,2,1],[4,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,1],[3,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[3,2,1],[3,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,1],[4,2],[2]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,1],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[3,2,1],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,3,1],[4,1],[4]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,1],[4,1],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[3,1],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[4,1],[2]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[3,1],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[4,1],[4]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,1],[4,1],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[3,1],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[3,2,1],[3,1],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[4,1],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[3,1],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[3,2,1],[3,1],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[4,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[3,2,1],[2,1],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[4,3,1],[4,1],[1]]                                                                                                                                                         => 3
[[4,3,2,1],[4,3,1],[3,1],[1]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[4,1],[1]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,1],[3,1],[1]]                                                                                                                                                         => 5
[[4,3,2,1],[3,2,1],[3,1],[1]]                                                                                                                                                         => 5
[[4,3,2,1],[4,2,1],[2,1],[1]]                                                                                                                                                         => 5
[[4,3,2,1],[3,2,1],[2,1],[1]]                                                                                                                                                         => 6
[[4,3,2,1],[3,3,1],[3,1],[1]]                                                                                                                                                         => 5
[[4,3,2,1],[3,2,1],[2,2],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[3,2,2],[2,2],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[4,2,2],[2,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,2],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[3,3,1],[3,1],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[3,3,1],[3,2],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[3,2,2],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[3,3,2],[3,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,2,2],[4,2],[2]]                                                                                                                                                         => 3
[[4,3,2,1],[3,2,2],[3,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[3,3,1],[3,3],[3]]                                                                                                                                                         => 4
[[4,3,2,1],[3,3,2],[3,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[3,3,2],[3,3],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,2],[4,2],[4]]                                                                                                                                                         => 2
[[4,3,2,1],[4,3,2],[3,3],[3]]                                                                                                                                                         => 2
[[4,3,2,1],[4,2,1],[2,2],[2]]                                                                                                                                                         => 4
[[4,3,2,1],[4,3,1],[3,3],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[4,2,2],[4,2],[3]]                                                                                                                                                         => 3
[[4,3,2,1],[3,3,1],[3,1],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[3,3,1],[3,2],[2]]                                                                                                                                                         => 5
[[4,3,2,1],[4,2,2],[3,2],[3]]                                                                                                                                                         => 3
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                                             => 10
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                                             => 9
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                                             => 9
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 9
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 9
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                                             => 9
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 9
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 8
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 9
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 8
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                                             => 9
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 8
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 7
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 8
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 7
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                                             => 8
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                                             => 7
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                                             => 7
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                                             => 8
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                                             => 9
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                                             => 10
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 15
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 14
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 13
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 14
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 14
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 14
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 11
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 11
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 13
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                               => 14
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]                                                                                                                               => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 13
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 13
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 12
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 11
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 12
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 11
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]                                                                                                                               => 12
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]                                                                                                                               => 12
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                               => 14
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                               => 13
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]                                                                                                                               => 12
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]                                                                                                                               => 11
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]                                                                                                                               => 11
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                                               => 15
[[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]]                                                                                                               => 21
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 17
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 19
[[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]]                                                                                                               => 17
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 17
[[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]]                                                                                                               => 16
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 18
[[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]]                                                                                                               => 17
[[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]]                                                                                                               => 20
[[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]]                                                                                                               => 16
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                                               => 21
[[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]]                                                                                             => 28
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 26
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 26
[[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]]                                                                                             => 26
[[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]]                                                                                             => 27
[[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]]                                                                                             => 24
[[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]]                                                                                             => 26
[[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]]                                                                                             => 27
[[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]]                                                                                             => 25
[[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]]                                                                                             => 25
[[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]]                                                                                             => 25
[[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]]                                                                                             => 26
[[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]]                                                                                             => 26
[[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]]                                                                                             => 26
[[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]]                                                                                             => 26
[[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]]                                                                                             => 26
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 27
[[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]]                                                                                             => 24
[[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]]                                                                                             => 26
[[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]]                                                                                             => 25
[[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]]                                                                                             => 26
[[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]]                                                                                             => 24
[[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]]                                                                                             => 25
[[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]]                                                                                             => 27
[[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]]                                                                                             => 24
[[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]]                                                                                             => 24
[[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]]                                                                                             => 26
[[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]]                                                                                             => 25
[[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]]                                                                                             => 25
[[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]]                                                                                             => 22
[[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]]                                                                                             => 25
[[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]]                                                                                             => 24
[[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]]                                                                                             => 24
[[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]]                                                                                             => 27
[[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]]                                                                                             => 23
[[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]]                                                                                             => 25
[[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]]                                                                                             => 23
[[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]]                                                                                             => 24
[[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]]                                                                                             => 25
[[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]]                                                                                             => 23
[[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]]                                                                                             => 27
[[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]]                                                                                             => 22
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                                             => 28
[[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]]                                                                         => 36
[[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]]                                                                         => 35
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 33
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 34
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 34
[[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]]                                                                         => 34
[[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]]                                                                         => 33
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 31
[[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]]                                                                         => 34
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 31
[[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]]                                                                         => 30
[[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]]                                                                         => 32
[[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]]                                                                         => 31
[[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]]                                                                         => 30
[[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]]                                                                         => 29
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                                         => 36
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 32
[[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]]                                                                         => 35
[[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]]                                                                         => 34
[[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]]                                                                         => 32
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 35
[[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]]                                                                         => 33
[[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]]                                                                         => 31
[[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]]                                                                         => 32
[[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]]                                                                         => 30
[[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]]                                                                         => 32
[[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]]                                                                         => 35
[[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]]                                                                         => 29
[[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]]                                                                         => 33
[[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]]                                                                         => 32
[[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]]                                                                         => 30
[[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]]                                                                         => 32
[[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]]                                                                         => 35
[[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]]                                                                         => 29
[[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]]                                                                         => 31
[[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]]                                                                         => 33
[[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]]                                                                         => 35
[[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]]                                                   => 41
[[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]]                                                   => 42
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 41
[[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]]                                                   => 42
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                  => 45
[[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]]                                                   => 44
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 43
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 43
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 39
[[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]]                                                   => 42
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 39
[[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]]                                                   => 38
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 39
[[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]]                                                   => 38
[[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]]                                                   => 37
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]                                                   => 45
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 41
[[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]]                                                   => 44
[[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]]                                                   => 43
[[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]]                                                   => 41
[[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]]                                                   => 42
[[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]]                                                   => 41
[[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]]                                                   => 44
[[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]]                                                   => 41
[[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]]                                                   => 40
[[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]]                                                   => 41
[[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]]                                                   => 39
[[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]]                                                   => 41
[[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]]                                                   => 44
[[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]]                                                   => 41
[[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]]                                                   => 42
[[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]]                                                   => 42
[[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]]                                                   => 37
[[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]]                                                   => 41
[[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]]                                                   => 41
[[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]]                                                   => 39
[[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]]                                                   => 41
[[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]]                                                   => 44
[[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]]                                                   => 40
[[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]]                                                   => 40
[[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]]                                                   => 38
[[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]]                                                   => 42
[[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]]                                                   => 37
[[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]]                                                   => 39
[[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]]                                                   => 41
[[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]]                                                   => 44
[[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]]                                                   => 38
[[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]]                                                   => 40
[[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]]                                                   => 42
[[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]]                                                   => 44
[[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]] => 61
[[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]] => 62
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 64
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 61
[[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]] => 62
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 64
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 62
[[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]] => 63
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 63
[[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]] => 64
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 64
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[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]] => 65
[[4,2,2],[2,2],[2]]                                                                                                                                                                   => 2
[[4,2,2],[3,2],[2]]                                                                                                                                                                   => 2
[[4,2,2],[3,2],[3]]                                                                                                                                                                   => 3
[[4,2,2],[4,2],[2]]                                                                                                                                                                   => 2
[[4,2,2],[4,2],[3]]                                                                                                                                                                   => 3
[[4,2,2],[4,2],[4]]                                                                                                                                                                   => 3
[[4,3,0],[4,3],[3]]                                                                                                                                                                   => 2
[[4,3,0],[4,3],[4]]                                                                                                                                                                   => 3
[[4,3,1],[3,1],[1]]                                                                                                                                                                   => 0
[[4,3,1],[3,1],[2]]                                                                                                                                                                   => 1
[[4,3,1],[3,1],[3]]                                                                                                                                                                   => 1
[[4,3,1],[3,2],[2]]                                                                                                                                                                   => 1
[[4,3,1],[3,2],[3]]                                                                                                                                                                   => 2
[[4,3,1],[3,3],[3]]                                                                                                                                                                   => 2
[[4,3,1],[4,1],[1]]                                                                                                                                                                   => 1
[[4,3,1],[4,1],[2]]                                                                                                                                                                   => 2
[[4,3,1],[4,1],[3]]                                                                                                                                                                   => 2
[[4,3,1],[4,1],[4]]                                                                                                                                                                   => 2
[[4,3,1],[4,2],[2]]                                                                                                                                                                   => 2
[[4,3,1],[4,2],[3]]                                                                                                                                                                   => 3
[[4,3,1],[4,2],[4]]                                                                                                                                                                   => 3
[[4,3,1],[4,3],[3]]                                                                                                                                                                   => 2
[[4,3,1],[4,3],[4]]                                                                                                                                                                   => 3
[[4,3,2],[3,2],[2]]                                                                                                                                                                   => 0
[[4,3,2],[3,2],[3]]                                                                                                                                                                   => 1
[[4,3,2],[3,3],[3]]                                                                                                                                                                   => 2
[[4,3,2],[4,2],[2]]                                                                                                                                                                   => 1
[[4,3,2],[4,2],[3]]                                                                                                                                                                   => 2
[[4,3,2],[4,2],[4]]                                                                                                                                                                   => 2
[[4,3,2],[4,3],[3]]                                                                                                                                                                   => 2
[[4,3,2],[4,3],[4]]                                                                                                                                                                   => 3
[[4,3,3],[3,3],[3]]                                                                                                                                                                   => 2
[[4,3,3],[4,3],[3]]                                                                                                                                                                   => 2
[[4,3,3],[4,3],[4]]                                                                                                                                                                   => 3
[[4,4,0],[4,0],[0]]                                                                                                                                                                   => 1
[[4,4,0],[4,0],[1]]                                                                                                                                                                   => 2
[[4,4,0],[4,0],[2]]                                                                                                                                                                   => 2
[[4,4,0],[4,0],[3]]                                                                                                                                                                   => 2
[[4,4,0],[4,0],[4]]                                                                                                                                                                   => 2
[[4,4,0],[4,1],[1]]                                                                                                                                                                   => 2
[[4,4,0],[4,1],[2]]                                                                                                                                                                   => 3
[[4,4,0],[4,1],[3]]                                                                                                                                                                   => 3
[[4,4,0],[4,1],[4]]                                                                                                                                                                   => 3
[[4,4,0],[4,2],[2]]                                                                                                                                                                   => 2
[[4,4,0],[4,2],[3]]                                                                                                                                                                   => 3
[[4,4,0],[4,2],[4]]                                                                                                                                                                   => 3
[[4,4,0],[4,3],[3]]                                                                                                                                                                   => 2
[[4,4,0],[4,3],[4]]                                                                                                                                                                   => 3
[[4,4,0],[4,4],[4]]                                                                                                                                                                   => 3
[[4,4,1],[4,1],[1]]                                                                                                                                                                   => 1
[[4,4,1],[4,1],[2]]                                                                                                                                                                   => 2
[[4,4,1],[4,1],[3]]                                                                                                                                                                   => 2
[[4,4,1],[4,1],[4]]                                                                                                                                                                   => 2
[[4,4,1],[4,2],[2]]                                                                                                                                                                   => 2
[[4,4,1],[4,2],[3]]                                                                                                                                                                   => 3
[[4,4,1],[4,2],[4]]                                                                                                                                                                   => 3
[[4,4,1],[4,3],[3]]                                                                                                                                                                   => 2
[[4,4,1],[4,3],[4]]                                                                                                                                                                   => 3
[[4,4,1],[4,4],[4]]                                                                                                                                                                   => 3
[[4,4,2],[4,2],[2]]                                                                                                                                                                   => 1
[[4,4,2],[4,2],[3]]                                                                                                                                                                   => 2
[[4,4,2],[4,2],[4]]                                                                                                                                                                   => 2
[[4,4,2],[4,3],[3]]                                                                                                                                                                   => 2
[[4,4,2],[4,3],[4]]                                                                                                                                                                   => 3
[[4,4,2],[4,4],[4]]                                                                                                                                                                   => 3
[[4,4,3],[4,3],[3]]                                                                                                                                                                   => 1
[[4,4,3],[4,3],[4]]                                                                                                                                                                   => 2
[[4,4,3],[4,4],[4]]                                                                                                                                                                   => 3
[[4,4,4],[4,4],[4]]                                                                                                                                                                   => 3
[[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]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,2,1,1],[3,1,1],[2,1],[2]]                                                                                                                                                         => 5
[[3,2,1,1],[3,1,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,2,1,1],[3,1,1],[3,1],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 3
[[3,2,2,0],[2,2,0],[2,0],[2]]                                                                                                                                                         => 3
[[3,2,2,0],[2,2,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,2,0],[2,2,0],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,2,0],[2,2,0],[2,2],[2]]                                                                                                                                                         => 4
[[3,2,2,0],[2,2,1],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,2,0],[2,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,2,0],[2,2,1],[2,2],[2]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 3
[[3,2,2,0],[3,2,0],[2,0],[2]]                                                                                                                                                         => 3
[[3,2,2,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,2,2,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,0],[3,0],[3]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,0],[3,1],[1]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,0],[3,1],[2]]                                                                                                                                                         => 5
[[3,2,2,0],[3,2,0],[3,1],[3]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 3
[[3,2,2,0],[3,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,1],[2,2],[2]]                                                                                                                                                         => 5
[[3,2,2,0],[3,2,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,2,2,0],[3,2,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,2,2,0],[3,2,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,2,2,0],[3,2,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,2,2,0],[3,2,1],[3,2],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 5
[[3,3,0,0],[3,3,0],[3,0],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,3,0],[3,0],[3]]                                                                                                                                                         => 5
[[3,3,0,0],[3,3,0],[3,1],[1]]                                                                                                                                                         => 5
[[3,3,0,0],[3,3,0],[3,1],[2]]                                                                                                                                                         => 6
[[3,3,0,0],[3,3,0],[3,1],[3]]                                                                                                                                                         => 6
[[3,3,0,0],[3,3,0],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,0,0],[3,3,0],[3,2],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 2
[[3,3,1,0],[3,1,0],[2,0],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,1,0],[2,0],[2]]                                                                                                                                                         => 3
[[3,3,1,0],[3,1,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,1,0],[2,1],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,1,0],[3,0],[0]]                                                                                                                                                         => 2
[[3,3,1,0],[3,1,0],[3,0],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,1,0],[3,0],[2]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 4
[[3,3,1,0],[3,1,1],[2,1],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,1,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,1,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,1,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,0],[2,0],[0]]                                                                                                                                                         => 2
[[3,3,1,0],[3,2,0],[2,0],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,2,0],[2,0],[2]]                                                                                                                                                         => 3
[[3,3,1,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[2,2],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,0],[0]]                                                                                                                                                         => 3
[[3,3,1,0],[3,2,0],[3,0],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,0],[3]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,0],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,0],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,0],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,1],[2,1],[1]]                                                                                                                                                         => 3
[[3,3,1,0],[3,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,1],[2,2],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,2,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,2,1],[3,2],[3]]                                                                                                                                                         => 6
[[3,3,1,0],[3,3,0],[3,0],[0]]                                                                                                                                                         => 3
[[3,3,1,0],[3,3,0],[3,0],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,3,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,3,0],[3,0],[3]]                                                                                                                                                         => 4
[[3,3,1,0],[3,3,0],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,0],[3,3,0],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,3,0],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,3,0],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,1,0],[3,3,0],[3,2],[3]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 5
[[3,3,1,0],[3,3,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,0],[3,3,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,1,0],[3,3,1],[3,2],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[3,3,1,1],[3,1,1],[2,1],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,1,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,1],[3,1,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,1,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,1],[3,2,1],[2,1],[1]]                                                                                                                                                         => 3
[[3,3,1,1],[3,2,1],[2,1],[2]]                                                                                                                                                         => 4
[[3,3,1,1],[3,2,1],[2,2],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,2,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,1],[3,2,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,2,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,1],[3,2,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,2,1],[3,2],[3]]                                                                                                                                                         => 6
[[3,3,1,1],[3,3,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,1,1],[3,3,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,3,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,1,1],[3,3,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,1,1],[3,3,1],[3,2],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 2
[[3,3,2,0],[3,2,0],[2,0],[2]]                                                                                                                                                         => 2
[[3,3,2,0],[3,2,0],[2,1],[1]]                                                                                                                                                         => 2
[[3,3,2,0],[3,2,0],[2,1],[2]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,0],[3,0],[2]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,0],[3,0],[3]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,0],[3,1],[1]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,0],[3,1],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,2,0],[3,1],[3]]                                                                                                                                                         => 4
[[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]]                                                                                                                                                         => 2
[[3,3,2,0],[3,2,1],[2,1],[2]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,1],[2,2],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,2,1],[3,1],[1]]                                                                                                                                                         => 3
[[3,3,2,0],[3,2,1],[3,1],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,2,1],[3,1],[3]]                                                                                                                                                         => 4
[[3,3,2,0],[3,2,1],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,2,1],[3,2],[3]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,0],[3,0],[3]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,0],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,0],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,0],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,0],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,0],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,0],[3,3],[3]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,2,0],[3,3,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,2,0],[3,3,1],[3,2],[3]]                                                                                                                                                         => 6
[[3,3,2,0],[3,3,1],[3,3],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 3
[[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]]                                                                                                                                                         => 4
[[3,3,2,1],[3,3,1],[3,1],[3]]                                                                                                                                                         => 4
[[3,3,2,1],[3,3,1],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,2,1],[3,3,1],[3,2],[3]]                                                                                                                                                         => 5
[[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]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,0],[3,0],[2]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,0],[3,0],[3]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,0],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,0],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,0],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,0],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,0],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,0],[3,3],[3]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,1],[3,1],[1]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,1],[3,1],[2]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,1],[3,1],[3]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,1],[3,2],[2]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,1],[3,2],[3]]                                                                                                                                                         => 6
[[3,3,3,0],[3,3,1],[3,3],[3]]                                                                                                                                                         => 6
[[3,3,3,0],[3,3,2],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,3,0],[3,3,2],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,3,0],[3,3,2],[3,3],[3]]                                                                                                                                                         => 6
[[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]]                                                                                                                                                         => 4
[[3,3,3,1],[3,3,1],[3,1],[3]]                                                                                                                                                         => 4
[[3,3,3,1],[3,3,1],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,3,1],[3,3,1],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,3,1],[3,3,1],[3,3],[3]]                                                                                                                                                         => 5
[[3,3,3,1],[3,3,2],[3,2],[2]]                                                                                                                                                         => 4
[[3,3,3,1],[3,3,2],[3,2],[3]]                                                                                                                                                         => 5
[[3,3,3,1],[3,3,2],[3,3],[3]]                                                                                                                                                         => 6
[[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
[]                                                                                                                                                                                    => 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

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Created: Jul 09, 2013 at 15:54 by Jessica Striker

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Last Updated: Apr 26, 2018 at 07:33 by Martin Rubey