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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000186
-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns
-----------------------------------------------------------------------------
Description: The sum of the first row in a Gelfand-Tsetlin pattern.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(GT):
return sum(GT[0])
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 1
[[2]] => 2
[[3]] => 3
[[4]] => 4
[[1,0],[0]] => 1
[[1,0],[1]] => 1
[[2,0],[0]] => 2
[[2,0],[1]] => 2
[[2,0],[2]] => 2
[[1,1],[1]] => 2
[[3,0],[0]] => 3
[[3,0],[1]] => 3
[[3,0],[2]] => 3
[[3,0],[3]] => 3
[[2,1],[1]] => 3
[[2,1],[2]] => 3
[[4,0],[0]] => 4
[[4,0],[1]] => 4
[[4,0],[2]] => 4
[[4,0],[3]] => 4
[[4,0],[4]] => 4
[[3,1],[1]] => 4
[[3,1],[2]] => 4
[[3,1],[3]] => 4
[[2,2],[2]] => 4
[[4,1],[1]] => 5
[[4,1],[2]] => 5
[[4,1],[3]] => 5
[[4,1],[4]] => 5
[[3,2],[2]] => 5
[[3,2],[3]] => 5
[[4,2],[2]] => 6
[[4,2],[3]] => 6
[[4,2],[4]] => 6
[[3,3],[3]] => 6
[[4,3],[3]] => 7
[[4,3],[4]] => 7
[[4,4],[4]] => 8
[[1,0,0],[0,0],[0]] => 1
[[1,0,0],[1,0],[0]] => 1
[[1,0,0],[1,0],[1]] => 1
[[2,0,0],[0,0],[0]] => 2
[[2,0,0],[1,0],[0]] => 2
[[2,0,0],[1,0],[1]] => 2
[[2,0,0],[2,0],[0]] => 2
[[2,0,0],[2,0],[1]] => 2
[[2,0,0],[2,0],[2]] => 2
[[1,1,0],[1,0],[0]] => 2
[[1,1,0],[1,0],[1]] => 2
[[1,1,0],[1,1],[1]] => 2
[[3,0,0],[0,0],[0]] => 3
[[3,0,0],[1,0],[0]] => 3
[[3,0,0],[1,0],[1]] => 3
[[3,0,0],[2,0],[0]] => 3
[[3,0,0],[2,0],[1]] => 3
[[3,0,0],[2,0],[2]] => 3
[[3,0,0],[3,0],[0]] => 3
[[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]] => 3
[[2,1,0],[1,0],[1]] => 3
[[2,1,0],[1,1],[1]] => 3
[[2,1,0],[2,0],[0]] => 3
[[2,1,0],[2,0],[1]] => 3
[[2,1,0],[2,0],[2]] => 3
[[2,1,0],[2,1],[1]] => 3
[[2,1,0],[2,1],[2]] => 3
[[1,1,1],[1,1],[1]] => 3
[[4,0,0],[0,0],[0]] => 4
[[4,0,0],[1,0],[0]] => 4
[[4,0,0],[1,0],[1]] => 4
[[4,0,0],[2,0],[0]] => 4
[[4,0,0],[2,0],[1]] => 4
[[4,0,0],[2,0],[2]] => 4
[[4,0,0],[3,0],[0]] => 4
[[4,0,0],[3,0],[1]] => 4
[[4,0,0],[3,0],[2]] => 4
[[4,0,0],[3,0],[3]] => 4
[[4,0,0],[4,0],[0]] => 4
[[4,0,0],[4,0],[1]] => 4
[[4,0,0],[4,0],[2]] => 4
[[4,0,0],[4,0],[3]] => 4
[[4,0,0],[4,0],[4]] => 4
[[3,1,0],[1,0],[0]] => 4
[[3,1,0],[1,0],[1]] => 4
[[3,1,0],[1,1],[1]] => 4
[[3,1,0],[2,0],[0]] => 4
[[3,1,0],[2,0],[1]] => 4
[[3,1,0],[2,0],[2]] => 4
[[3,1,0],[2,1],[1]] => 4
[[3,1,0],[2,1],[2]] => 4
[[3,1,0],[3,0],[0]] => 4
[[3,1,0],[3,0],[1]] => 4
[[3,1,0],[3,0],[2]] => 4
[[3,1,0],[3,0],[3]] => 4
[[3,1,0],[3,1],[1]] => 4
[[3,1,0],[3,1],[2]] => 4
[[3,1,0],[3,1],[3]] => 4
[[2,2,0],[2,0],[0]] => 4
[[2,2,0],[2,0],[1]] => 4
[[2,2,0],[2,0],[2]] => 4
[[2,2,0],[2,1],[1]] => 4
[[2,2,0],[2,1],[2]] => 4
[[2,2,0],[2,2],[2]] => 4
[[2,1,1],[1,1],[1]] => 4
[[2,1,1],[2,1],[1]] => 4
[[2,1,1],[2,1],[2]] => 4
[[4,1,0],[1,0],[0]] => 5
[[4,1,0],[1,0],[1]] => 5
[[4,1,0],[1,1],[1]] => 5
[[4,1,0],[2,0],[0]] => 5
[[4,1,0],[2,0],[1]] => 5
[[4,1,0],[2,0],[2]] => 5
[[4,1,0],[2,1],[1]] => 5
[[4,1,0],[2,1],[2]] => 5
[[4,1,0],[3,0],[0]] => 5
[[4,1,0],[3,0],[1]] => 5
[[4,1,0],[3,0],[2]] => 5
[[4,1,0],[3,0],[3]] => 5
[[4,1,0],[3,1],[1]] => 5
[[4,1,0],[3,1],[2]] => 5
[[4,1,0],[3,1],[3]] => 5
[[4,1,0],[4,0],[0]] => 5
[[4,1,0],[4,0],[1]] => 5
[[4,1,0],[4,0],[2]] => 5
[[4,1,0],[4,0],[3]] => 5
[[4,1,0],[4,0],[4]] => 5
[[4,1,0],[4,1],[1]] => 5
[[4,1,0],[4,1],[2]] => 5
[[4,1,0],[4,1],[3]] => 5
[[4,1,0],[4,1],[4]] => 5
[[3,2,0],[2,0],[0]] => 5
[[3,2,0],[2,0],[1]] => 5
[[3,2,0],[2,0],[2]] => 5
[[3,2,0],[2,1],[1]] => 5
[[3,2,0],[2,1],[2]] => 5
[[3,2,0],[2,2],[2]] => 5
[[3,2,0],[3,0],[0]] => 5
[[3,2,0],[3,0],[1]] => 5
[[3,2,0],[3,0],[2]] => 5
[[3,2,0],[3,0],[3]] => 5
[[3,2,0],[3,1],[1]] => 5
[[3,2,0],[3,1],[2]] => 5
[[3,2,0],[3,1],[3]] => 5
[[3,2,0],[3,2],[2]] => 5
[[3,2,0],[3,2],[3]] => 5
[[3,1,1],[1,1],[1]] => 5
[[3,1,1],[2,1],[1]] => 5
[[3,1,1],[2,1],[2]] => 5
[[3,1,1],[3,1],[1]] => 5
[[3,1,1],[3,1],[2]] => 5
[[3,1,1],[3,1],[3]] => 5
[[2,2,1],[2,1],[1]] => 5
[[2,2,1],[2,1],[2]] => 5
[[2,2,1],[2,2],[2]] => 5
[[4,2,0],[2,0],[0]] => 6
[[4,2,0],[2,0],[1]] => 6
[[4,2,0],[2,0],[2]] => 6
[[4,2,0],[2,1],[1]] => 6
[[4,2,0],[2,1],[2]] => 6
[[4,2,0],[2,2],[2]] => 6
[[4,2,0],[3,0],[0]] => 6
[[4,2,0],[3,0],[1]] => 6
[[4,2,0],[3,0],[2]] => 6
[[4,2,0],[3,0],[3]] => 6
[[4,2,0],[3,1],[1]] => 6
[[4,2,0],[3,1],[2]] => 6
[[4,2,0],[3,1],[3]] => 6
[[4,2,0],[3,2],[2]] => 6
[[4,2,0],[3,2],[3]] => 6
[[4,2,0],[4,0],[0]] => 6
[[4,2,0],[4,0],[1]] => 6
[[4,2,0],[4,0],[2]] => 6
[[4,2,0],[4,0],[3]] => 6
[[4,2,0],[4,0],[4]] => 6
[[4,2,0],[4,1],[1]] => 6
[[4,2,0],[4,1],[2]] => 6
[[4,2,0],[4,1],[3]] => 6
[[4,2,0],[4,1],[4]] => 6
[[4,2,0],[4,2],[2]] => 6
[[4,2,0],[4,2],[3]] => 6
[[4,2,0],[4,2],[4]] => 6
[[4,1,1],[1,1],[1]] => 6
[[4,1,1],[2,1],[1]] => 6
[[4,1,1],[2,1],[2]] => 6
[[4,1,1],[3,1],[1]] => 6
[[4,1,1],[3,1],[2]] => 6
[[4,1,1],[3,1],[3]] => 6
[[4,1,1],[4,1],[1]] => 6
[[4,1,1],[4,1],[2]] => 6
[[4,1,1],[4,1],[3]] => 6
[[4,1,1],[4,1],[4]] => 6
[[3,3,0],[3,0],[0]] => 6
[[3,3,0],[3,0],[1]] => 6
[[3,3,0],[3,0],[2]] => 6
[[3,3,0],[3,0],[3]] => 6
[[3,3,0],[3,1],[1]] => 6
[[3,3,0],[3,1],[2]] => 6
[[3,3,0],[3,1],[3]] => 6
[[3,3,0],[3,2],[2]] => 6
[[3,3,0],[3,2],[3]] => 6
[[3,3,0],[3,3],[3]] => 6
[[3,2,1],[2,1],[1]] => 6
[[3,2,1],[2,1],[2]] => 6
[[3,2,1],[2,2],[2]] => 6
[[3,2,1],[3,1],[1]] => 6
[[3,2,1],[3,1],[2]] => 6
[[3,2,1],[3,1],[3]] => 6
[[3,2,1],[3,2],[2]] => 6
[[3,2,1],[3,2],[3]] => 6
[[2,2,2],[2,2],[2]] => 6
[[4,3,0],[4,2],[4]] => 7
[[4,3,0],[4,1],[4]] => 7
[[4,3,0],[4,0],[4]] => 7
[[4,3,0],[4,2],[3]] => 7
[[4,3,0],[3,3],[3]] => 7
[[4,3,0],[4,1],[3]] => 7
[[4,3,0],[3,2],[3]] => 7
[[4,3,0],[4,0],[3]] => 7
[[4,3,0],[3,1],[3]] => 7
[[4,3,0],[3,0],[3]] => 7
[[4,3,0],[4,2],[2]] => 7
[[4,3,0],[4,1],[2]] => 7
[[4,3,0],[3,2],[2]] => 7
[[4,3,0],[4,0],[2]] => 7
[[4,3,0],[3,1],[2]] => 7
[[4,3,0],[3,0],[2]] => 7
[[4,3,0],[4,1],[1]] => 7
[[4,3,0],[4,0],[1]] => 7
[[4,3,0],[3,1],[1]] => 7
[[4,3,0],[3,0],[1]] => 7
[[4,3,0],[4,0],[0]] => 7
[[4,3,0],[3,0],[0]] => 7
[[4,2,1],[4,2],[4]] => 7
[[4,2,1],[4,1],[4]] => 7
[[4,2,1],[4,2],[3]] => 7
[[4,2,1],[4,1],[3]] => 7
[[4,2,1],[3,2],[3]] => 7
[[4,2,1],[3,1],[3]] => 7
[[4,2,1],[4,2],[2]] => 7
[[4,2,1],[4,1],[2]] => 7
[[4,2,1],[3,2],[2]] => 7
[[4,2,1],[3,1],[2]] => 7
[[4,2,1],[2,2],[2]] => 7
[[4,2,1],[2,1],[2]] => 7
[[4,2,1],[4,1],[1]] => 7
[[4,2,1],[3,1],[1]] => 7
[[4,2,1],[2,1],[1]] => 7
[[3,3,1],[3,3],[3]] => 7
[[3,3,1],[3,2],[3]] => 7
[[3,3,1],[3,1],[3]] => 7
[[3,3,1],[3,2],[2]] => 7
[[3,3,1],[3,1],[2]] => 7
[[3,3,1],[3,1],[1]] => 7
[[3,2,2],[3,2],[3]] => 7
[[3,2,2],[3,2],[2]] => 7
[[3,2,2],[2,2],[2]] => 7
[[1,0,0,0],[0,0,0],[0,0],[0]] => 1
[[1,0,0,0],[1,0,0],[0,0],[0]] => 1
[[1,0,0,0],[1,0,0],[1,0],[0]] => 1
[[1,0,0,0],[1,0,0],[1,0],[1]] => 1
[[2,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0],[1,0,0],[0,0],[0]] => 2
[[2,0,0,0],[1,0,0],[1,0],[0]] => 2
[[2,0,0,0],[1,0,0],[1,0],[1]] => 2
[[2,0,0,0],[2,0,0],[0,0],[0]] => 2
[[2,0,0,0],[2,0,0],[1,0],[0]] => 2
[[2,0,0,0],[2,0,0],[1,0],[1]] => 2
[[2,0,0,0],[2,0,0],[2,0],[0]] => 2
[[2,0,0,0],[2,0,0],[2,0],[1]] => 2
[[2,0,0,0],[2,0,0],[2,0],[2]] => 2
[[1,1,0,0],[1,0,0],[0,0],[0]] => 2
[[1,1,0,0],[1,0,0],[1,0],[0]] => 2
[[1,1,0,0],[1,0,0],[1,0],[1]] => 2
[[1,1,0,0],[1,1,0],[1,0],[0]] => 2
[[1,1,0,0],[1,1,0],[1,0],[1]] => 2
[[1,1,0,0],[1,1,0],[1,1],[1]] => 2
[[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,0,0,0],[1,0,0],[0,0],[0]] => 3
[[3,0,0,0],[1,0,0],[1,0],[0]] => 3
[[3,0,0,0],[1,0,0],[1,0],[1]] => 3
[[3,0,0,0],[2,0,0],[0,0],[0]] => 3
[[3,0,0,0],[2,0,0],[1,0],[0]] => 3
[[3,0,0,0],[2,0,0],[1,0],[1]] => 3
[[3,0,0,0],[2,0,0],[2,0],[0]] => 3
[[3,0,0,0],[2,0,0],[2,0],[1]] => 3
[[3,0,0,0],[2,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[0,0],[0]] => 3
[[3,0,0,0],[3,0,0],[1,0],[0]] => 3
[[3,0,0,0],[3,0,0],[1,0],[1]] => 3
[[3,0,0,0],[3,0,0],[2,0],[0]] => 3
[[3,0,0,0],[3,0,0],[2,0],[1]] => 3
[[3,0,0,0],[3,0,0],[2,0],[2]] => 3
[[3,0,0,0],[3,0,0],[3,0],[0]] => 3
[[3,0,0,0],[3,0,0],[3,0],[1]] => 3
[[3,0,0,0],[3,0,0],[3,0],[2]] => 3
[[3,0,0,0],[3,0,0],[3,0],[3]] => 3
[[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]] => 3
[[2,1,0,0],[1,1,0],[1,0],[0]] => 3
[[2,1,0,0],[1,1,0],[1,0],[1]] => 3
[[2,1,0,0],[1,1,0],[1,1],[1]] => 3
[[2,1,0,0],[2,0,0],[0,0],[0]] => 3
[[2,1,0,0],[2,0,0],[1,0],[0]] => 3
[[2,1,0,0],[2,0,0],[1,0],[1]] => 3
[[2,1,0,0],[2,0,0],[2,0],[0]] => 3
[[2,1,0,0],[2,0,0],[2,0],[1]] => 3
[[2,1,0,0],[2,0,0],[2,0],[2]] => 3
[[2,1,0,0],[2,1,0],[1,0],[0]] => 3
[[2,1,0,0],[2,1,0],[1,0],[1]] => 3
[[2,1,0,0],[2,1,0],[1,1],[1]] => 3
[[2,1,0,0],[2,1,0],[2,0],[0]] => 3
[[2,1,0,0],[2,1,0],[2,0],[1]] => 3
[[2,1,0,0],[2,1,0],[2,0],[2]] => 3
[[2,1,0,0],[2,1,0],[2,1],[1]] => 3
[[2,1,0,0],[2,1,0],[2,1],[2]] => 3
[[1,1,1,0],[1,1,0],[1,0],[0]] => 3
[[1,1,1,0],[1,1,0],[1,0],[1]] => 3
[[1,1,1,0],[1,1,0],[1,1],[1]] => 3
[[1,1,1,0],[1,1,1],[1,1],[1]] => 3
[[4,0,0,0],[0,0,0],[0,0],[0]] => 4
[[4,0,0,0],[1,0,0],[0,0],[0]] => 4
[[4,0,0,0],[1,0,0],[1,0],[0]] => 4
[[4,0,0,0],[1,0,0],[1,0],[1]] => 4
[[4,0,0,0],[2,0,0],[0,0],[0]] => 4
[[4,0,0,0],[2,0,0],[1,0],[0]] => 4
[[4,0,0,0],[2,0,0],[1,0],[1]] => 4
[[4,0,0,0],[2,0,0],[2,0],[0]] => 4
[[4,0,0,0],[2,0,0],[2,0],[1]] => 4
[[4,0,0,0],[2,0,0],[2,0],[2]] => 4
[[4,0,0,0],[3,0,0],[0,0],[0]] => 4
[[4,0,0,0],[3,0,0],[1,0],[0]] => 4
[[4,0,0,0],[3,0,0],[1,0],[1]] => 4
[[4,0,0,0],[3,0,0],[2,0],[0]] => 4
[[4,0,0,0],[3,0,0],[2,0],[1]] => 4
[[4,0,0,0],[3,0,0],[2,0],[2]] => 4
[[4,0,0,0],[3,0,0],[3,0],[0]] => 4
[[4,0,0,0],[3,0,0],[3,0],[1]] => 4
[[4,0,0,0],[3,0,0],[3,0],[2]] => 4
[[4,0,0,0],[3,0,0],[3,0],[3]] => 4
[[4,0,0,0],[4,0,0],[0,0],[0]] => 4
[[4,0,0,0],[4,0,0],[1,0],[0]] => 4
[[4,0,0,0],[4,0,0],[1,0],[1]] => 4
[[4,0,0,0],[4,0,0],[2,0],[0]] => 4
[[4,0,0,0],[4,0,0],[2,0],[1]] => 4
[[4,0,0,0],[4,0,0],[2,0],[2]] => 4
[[4,0,0,0],[4,0,0],[3,0],[0]] => 4
[[4,0,0,0],[4,0,0],[3,0],[1]] => 4
[[4,0,0,0],[4,0,0],[3,0],[2]] => 4
[[4,0,0,0],[4,0,0],[3,0],[3]] => 4
[[4,0,0,0],[4,0,0],[4,0],[0]] => 4
[[4,0,0,0],[4,0,0],[4,0],[1]] => 4
[[4,0,0,0],[4,0,0],[4,0],[2]] => 4
[[4,0,0,0],[4,0,0],[4,0],[3]] => 4
[[4,0,0,0],[4,0,0],[4,0],[4]] => 4
[[3,1,0,0],[1,0,0],[0,0],[0]] => 4
[[3,1,0,0],[1,0,0],[1,0],[0]] => 4
[[3,1,0,0],[1,0,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,0],[0]] => 4
[[3,1,0,0],[1,1,0],[1,0],[1]] => 4
[[3,1,0,0],[1,1,0],[1,1],[1]] => 4
[[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]] => 4
[[3,1,0,0],[2,0,0],[2,0],[0]] => 4
[[3,1,0,0],[2,0,0],[2,0],[1]] => 4
[[3,1,0,0],[2,0,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[1,0],[0]] => 4
[[3,1,0,0],[2,1,0],[1,0],[1]] => 4
[[3,1,0,0],[2,1,0],[1,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,0],[0]] => 4
[[3,1,0,0],[2,1,0],[2,0],[1]] => 4
[[3,1,0,0],[2,1,0],[2,0],[2]] => 4
[[3,1,0,0],[2,1,0],[2,1],[1]] => 4
[[3,1,0,0],[2,1,0],[2,1],[2]] => 4
[[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]] => 4
[[3,1,0,0],[3,0,0],[2,0],[0]] => 4
[[3,1,0,0],[3,0,0],[2,0],[1]] => 4
[[3,1,0,0],[3,0,0],[2,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[0]] => 4
[[3,1,0,0],[3,0,0],[3,0],[1]] => 4
[[3,1,0,0],[3,0,0],[3,0],[2]] => 4
[[3,1,0,0],[3,0,0],[3,0],[3]] => 4
[[3,1,0,0],[3,1,0],[1,0],[0]] => 4
[[3,1,0,0],[3,1,0],[1,0],[1]] => 4
[[3,1,0,0],[3,1,0],[1,1],[1]] => 4
[[3,1,0,0],[3,1,0],[2,0],[0]] => 4
[[3,1,0,0],[3,1,0],[2,0],[1]] => 4
[[3,1,0,0],[3,1,0],[2,0],[2]] => 4
[[3,1,0,0],[3,1,0],[2,1],[1]] => 4
[[3,1,0,0],[3,1,0],[2,1],[2]] => 4
[[3,1,0,0],[3,1,0],[3,0],[0]] => 4
[[3,1,0,0],[3,1,0],[3,0],[1]] => 4
[[3,1,0,0],[3,1,0],[3,0],[2]] => 4
[[3,1,0,0],[3,1,0],[3,0],[3]] => 4
[[3,1,0,0],[3,1,0],[3,1],[1]] => 4
[[3,1,0,0],[3,1,0],[3,1],[2]] => 4
[[3,1,0,0],[3,1,0],[3,1],[3]] => 4
[[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]] => 4
[[2,2,0,0],[2,0,0],[2,0],[0]] => 4
[[2,2,0,0],[2,0,0],[2,0],[1]] => 4
[[2,2,0,0],[2,0,0],[2,0],[2]] => 4
[[2,2,0,0],[2,1,0],[1,0],[0]] => 4
[[2,2,0,0],[2,1,0],[1,0],[1]] => 4
[[2,2,0,0],[2,1,0],[1,1],[1]] => 4
[[2,2,0,0],[2,1,0],[2,0],[0]] => 4
[[2,2,0,0],[2,1,0],[2,0],[1]] => 4
[[2,2,0,0],[2,1,0],[2,0],[2]] => 4
[[2,2,0,0],[2,1,0],[2,1],[1]] => 4
[[2,2,0,0],[2,1,0],[2,1],[2]] => 4
[[2,2,0,0],[2,2,0],[2,0],[0]] => 4
[[2,2,0,0],[2,2,0],[2,0],[1]] => 4
[[2,2,0,0],[2,2,0],[2,0],[2]] => 4
[[2,2,0,0],[2,2,0],[2,1],[1]] => 4
[[2,2,0,0],[2,2,0],[2,1],[2]] => 4
[[2,2,0,0],[2,2,0],[2,2],[2]] => 4
[[2,1,1,0],[1,1,0],[1,0],[0]] => 4
[[2,1,1,0],[1,1,0],[1,0],[1]] => 4
[[2,1,1,0],[1,1,0],[1,1],[1]] => 4
[[2,1,1,0],[1,1,1],[1,1],[1]] => 4
[[2,1,1,0],[2,1,0],[1,0],[0]] => 4
[[2,1,1,0],[2,1,0],[1,0],[1]] => 4
[[2,1,1,0],[2,1,0],[1,1],[1]] => 4
[[2,1,1,0],[2,1,0],[2,0],[0]] => 4
[[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]] => 4
[[2,1,1,0],[2,1,1],[1,1],[1]] => 4
[[2,1,1,0],[2,1,1],[2,1],[1]] => 4
[[2,1,1,0],[2,1,1],[2,1],[2]] => 4
[[1,1,1,1],[1,1,1],[1,1],[1]] => 4
[[4,1,0,0],[1,0,0],[0,0],[0]] => 5
[[4,1,0,0],[1,0,0],[1,0],[0]] => 5
[[4,1,0,0],[1,0,0],[1,0],[1]] => 5
[[4,1,0,0],[1,1,0],[1,0],[0]] => 5
[[4,1,0,0],[1,1,0],[1,0],[1]] => 5
[[4,1,0,0],[1,1,0],[1,1],[1]] => 5
[[4,1,0,0],[2,0,0],[0,0],[0]] => 5
[[4,1,0,0],[2,0,0],[1,0],[0]] => 5
[[4,1,0,0],[2,0,0],[1,0],[1]] => 5
[[4,1,0,0],[2,0,0],[2,0],[0]] => 5
[[4,1,0,0],[2,0,0],[2,0],[1]] => 5
[[4,1,0,0],[2,0,0],[2,0],[2]] => 5
[[4,1,0,0],[2,1,0],[1,0],[0]] => 5
[[4,1,0,0],[2,1,0],[1,0],[1]] => 5
[[4,1,0,0],[2,1,0],[1,1],[1]] => 5
[[4,1,0,0],[2,1,0],[2,0],[0]] => 5
[[4,1,0,0],[2,1,0],[2,0],[1]] => 5
[[4,1,0,0],[2,1,0],[2,0],[2]] => 5
[[4,1,0,0],[2,1,0],[2,1],[1]] => 5
[[4,1,0,0],[2,1,0],[2,1],[2]] => 5
[[4,1,0,0],[3,0,0],[0,0],[0]] => 5
[[4,1,0,0],[3,0,0],[1,0],[0]] => 5
[[4,1,0,0],[3,0,0],[1,0],[1]] => 5
[[4,1,0,0],[3,0,0],[2,0],[0]] => 5
[[4,1,0,0],[3,0,0],[2,0],[1]] => 5
[[4,1,0,0],[3,0,0],[2,0],[2]] => 5
[[4,1,0,0],[3,0,0],[3,0],[0]] => 5
[[4,1,0,0],[3,0,0],[3,0],[1]] => 5
[[4,1,0,0],[3,0,0],[3,0],[2]] => 5
[[4,1,0,0],[3,0,0],[3,0],[3]] => 5
[[4,1,0,0],[3,1,0],[1,0],[0]] => 5
[[4,1,0,0],[3,1,0],[1,0],[1]] => 5
[[4,1,0,0],[3,1,0],[1,1],[1]] => 5
[[4,1,0,0],[3,1,0],[2,0],[0]] => 5
[[4,1,0,0],[3,1,0],[2,0],[1]] => 5
[[4,1,0,0],[3,1,0],[2,0],[2]] => 5
[[4,1,0,0],[3,1,0],[2,1],[1]] => 5
[[4,1,0,0],[3,1,0],[2,1],[2]] => 5
[[4,1,0,0],[3,1,0],[3,0],[0]] => 5
[[4,1,0,0],[3,1,0],[3,0],[1]] => 5
[[4,1,0,0],[3,1,0],[3,0],[2]] => 5
[[4,1,0,0],[3,1,0],[3,0],[3]] => 5
[[4,1,0,0],[3,1,0],[3,1],[1]] => 5
[[4,1,0,0],[3,1,0],[3,1],[2]] => 5
[[4,1,0,0],[3,1,0],[3,1],[3]] => 5
[[4,1,0,0],[4,0,0],[0,0],[0]] => 5
[[4,1,0,0],[4,0,0],[1,0],[0]] => 5
[[4,1,0,0],[4,0,0],[1,0],[1]] => 5
[[4,1,0,0],[4,0,0],[2,0],[0]] => 5
[[4,1,0,0],[4,0,0],[2,0],[1]] => 5
[[4,1,0,0],[4,0,0],[2,0],[2]] => 5
[[4,1,0,0],[4,0,0],[3,0],[0]] => 5
[[4,1,0,0],[4,0,0],[3,0],[1]] => 5
[[4,1,0,0],[4,0,0],[3,0],[2]] => 5
[[4,1,0,0],[4,0,0],[3,0],[3]] => 5
[[4,1,0,0],[4,0,0],[4,0],[0]] => 5
[[4,1,0,0],[4,0,0],[4,0],[1]] => 5
[[4,1,0,0],[4,0,0],[4,0],[2]] => 5
[[4,1,0,0],[4,0,0],[4,0],[3]] => 5
[[4,1,0,0],[4,0,0],[4,0],[4]] => 5
[[4,1,0,0],[4,1,0],[1,0],[0]] => 5
[[4,1,0,0],[4,1,0],[1,0],[1]] => 5
[[4,1,0,0],[4,1,0],[1,1],[1]] => 5
[[4,1,0,0],[4,1,0],[2,0],[0]] => 5
[[4,1,0,0],[4,1,0],[2,0],[1]] => 5
[[4,1,0,0],[4,1,0],[2,0],[2]] => 5
[[4,1,0,0],[4,1,0],[2,1],[1]] => 5
[[4,1,0,0],[4,1,0],[2,1],[2]] => 5
[[4,1,0,0],[4,1,0],[3,0],[0]] => 5
[[4,1,0,0],[4,1,0],[3,0],[1]] => 5
[[4,1,0,0],[4,1,0],[3,0],[2]] => 5
[[4,1,0,0],[4,1,0],[3,0],[3]] => 5
[[4,1,0,0],[4,1,0],[3,1],[1]] => 5
[[4,1,0,0],[4,1,0],[3,1],[2]] => 5
[[4,1,0,0],[4,1,0],[3,1],[3]] => 5
[[4,1,0,0],[4,1,0],[4,0],[0]] => 5
[[4,1,0,0],[4,1,0],[4,0],[1]] => 5
[[4,1,0,0],[4,1,0],[4,0],[2]] => 5
[[4,1,0,0],[4,1,0],[4,0],[3]] => 5
[[4,1,0,0],[4,1,0],[4,0],[4]] => 5
[[4,1,0,0],[4,1,0],[4,1],[1]] => 5
[[4,1,0,0],[4,1,0],[4,1],[2]] => 5
[[4,1,0,0],[4,1,0],[4,1],[3]] => 5
[[4,1,0,0],[4,1,0],[4,1],[4]] => 5
[[3,2,0,0],[2,0,0],[0,0],[0]] => 5
[[3,2,0,0],[2,0,0],[1,0],[0]] => 5
[[3,2,0,0],[2,0,0],[1,0],[1]] => 5
[[3,2,0,0],[2,0,0],[2,0],[0]] => 5
[[3,2,0,0],[2,0,0],[2,0],[1]] => 5
[[3,2,0,0],[2,0,0],[2,0],[2]] => 5
[[3,2,0,0],[2,1,0],[1,0],[0]] => 5
[[3,2,0,0],[2,1,0],[1,0],[1]] => 5
[[3,2,0,0],[2,1,0],[1,1],[1]] => 5
[[3,2,0,0],[2,1,0],[2,0],[0]] => 5
[[3,2,0,0],[2,1,0],[2,0],[1]] => 5
[[3,2,0,0],[2,1,0],[2,0],[2]] => 5
[[3,2,0,0],[2,1,0],[2,1],[1]] => 5
[[3,2,0,0],[2,1,0],[2,1],[2]] => 5
[[3,2,0,0],[2,2,0],[2,0],[0]] => 5
[[3,2,0,0],[2,2,0],[2,0],[1]] => 5
[[3,2,0,0],[2,2,0],[2,0],[2]] => 5
[[3,2,0,0],[2,2,0],[2,1],[1]] => 5
[[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]] => 5
[[3,2,0,0],[3,0,0],[1,0],[0]] => 5
[[3,2,0,0],[3,0,0],[1,0],[1]] => 5
[[3,2,0,0],[3,0,0],[2,0],[0]] => 5
[[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]] => 5
[[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]] => 5
[[3,2,0,0],[3,1,0],[1,0],[1]] => 5
[[3,2,0,0],[3,1,0],[1,1],[1]] => 5
[[3,2,0,0],[3,1,0],[2,0],[0]] => 5
[[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]] => 5
[[3,2,0,0],[3,1,0],[3,0],[0]] => 5
[[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]] => 5
[[3,2,0,0],[3,1,0],[3,1],[3]] => 5
[[3,2,0,0],[3,2,0],[2,0],[0]] => 5
[[3,2,0,0],[3,2,0],[2,0],[1]] => 5
[[3,2,0,0],[3,2,0],[2,0],[2]] => 5
[[3,2,0,0],[3,2,0],[2,1],[1]] => 5
[[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]] => 5
[[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]] => 5
[[3,2,0,0],[3,2,0],[3,1],[3]] => 5
[[3,2,0,0],[3,2,0],[3,2],[2]] => 5
[[3,2,0,0],[3,2,0],[3,2],[3]] => 5
[[3,1,1,0],[1,1,0],[1,0],[0]] => 5
[[3,1,1,0],[1,1,0],[1,0],[1]] => 5
[[3,1,1,0],[1,1,0],[1,1],[1]] => 5
[[3,1,1,0],[1,1,1],[1,1],[1]] => 5
[[3,1,1,0],[2,1,0],[1,0],[0]] => 5
[[3,1,1,0],[2,1,0],[1,0],[1]] => 5
[[3,1,1,0],[2,1,0],[1,1],[1]] => 5
[[3,1,1,0],[2,1,0],[2,0],[0]] => 5
[[3,1,1,0],[2,1,0],[2,0],[1]] => 5
[[3,1,1,0],[2,1,0],[2,0],[2]] => 5
[[3,1,1,0],[2,1,0],[2,1],[1]] => 5
[[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]] => 5
[[3,1,1,0],[3,1,0],[1,0],[0]] => 5
[[3,1,1,0],[3,1,0],[1,0],[1]] => 5
[[3,1,1,0],[3,1,0],[1,1],[1]] => 5
[[3,1,1,0],[3,1,0],[2,0],[0]] => 5
[[3,1,1,0],[3,1,0],[2,0],[1]] => 5
[[3,1,1,0],[3,1,0],[2,0],[2]] => 5
[[3,1,1,0],[3,1,0],[2,1],[1]] => 5
[[3,1,1,0],[3,1,0],[2,1],[2]] => 5
[[3,1,1,0],[3,1,0],[3,0],[0]] => 5
[[3,1,1,0],[3,1,0],[3,0],[1]] => 5
[[3,1,1,0],[3,1,0],[3,0],[2]] => 5
[[3,1,1,0],[3,1,0],[3,0],[3]] => 5
[[3,1,1,0],[3,1,0],[3,1],[1]] => 5
[[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]] => 5
[[3,1,1,0],[3,1,1],[3,1],[1]] => 5
[[3,1,1,0],[3,1,1],[3,1],[2]] => 5
[[3,1,1,0],[3,1,1],[3,1],[3]] => 5
[[2,2,1,0],[2,1,0],[1,0],[0]] => 5
[[2,2,1,0],[2,1,0],[1,0],[1]] => 5
[[2,2,1,0],[2,1,0],[1,1],[1]] => 5
[[2,2,1,0],[2,1,0],[2,0],[0]] => 5
[[2,2,1,0],[2,1,0],[2,0],[1]] => 5
[[2,2,1,0],[2,1,0],[2,0],[2]] => 5
[[2,2,1,0],[2,1,0],[2,1],[1]] => 5
[[2,2,1,0],[2,1,0],[2,1],[2]] => 5
[[2,2,1,0],[2,1,1],[1,1],[1]] => 5
[[2,2,1,0],[2,1,1],[2,1],[1]] => 5
[[2,2,1,0],[2,1,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,0],[2,0],[0]] => 5
[[2,2,1,0],[2,2,0],[2,0],[1]] => 5
[[2,2,1,0],[2,2,0],[2,0],[2]] => 5
[[2,2,1,0],[2,2,0],[2,1],[1]] => 5
[[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]] => 5
[[2,2,1,0],[2,2,1],[2,1],[2]] => 5
[[2,2,1,0],[2,2,1],[2,2],[2]] => 5
[[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]] => 5
[[4,1,1,0],[4,1,0],[4,1],[4]] => 6
[[4,1,1,0],[4,1,0],[4,0],[4]] => 6
[[4,1,1,0],[4,1,0],[4,1],[3]] => 6
[[4,1,1,0],[4,1,0],[4,0],[3]] => 6
[[4,1,1,0],[4,1,0],[3,1],[3]] => 6
[[4,1,1,0],[3,1,1],[3,1],[3]] => 6
[[4,1,1,0],[3,1,0],[3,1],[3]] => 6
[[4,1,1,0],[4,1,0],[3,0],[3]] => 6
[[4,1,1,0],[3,1,0],[3,0],[3]] => 6
[[4,1,1,0],[4,1,0],[4,1],[2]] => 6
[[4,1,1,0],[4,1,0],[4,0],[2]] => 6
[[4,1,1,0],[4,1,0],[3,1],[2]] => 6
[[4,1,1,0],[3,1,1],[3,1],[2]] => 6
[[4,1,1,0],[3,1,0],[3,1],[2]] => 6
[[4,1,1,0],[4,1,0],[3,0],[2]] => 6
[[4,1,1,0],[4,1,0],[2,1],[2]] => 6
[[4,1,1,0],[3,1,1],[2,1],[2]] => 6
[[4,1,1,0],[3,1,0],[3,0],[2]] => 6
[[4,1,1,0],[3,1,0],[2,1],[2]] => 6
[[4,1,1,0],[2,1,1],[2,1],[2]] => 6
[[4,1,1,0],[2,1,0],[2,1],[2]] => 6
[[4,1,1,0],[4,1,0],[2,0],[2]] => 6
[[4,1,1,0],[3,1,0],[2,0],[2]] => 6
[[4,1,1,0],[2,1,0],[2,0],[2]] => 6
[[4,1,1,0],[4,1,0],[4,1],[1]] => 6
[[4,1,1,0],[4,1,0],[4,0],[1]] => 6
[[4,1,1,0],[4,1,0],[3,1],[1]] => 6
[[4,1,1,0],[3,1,1],[3,1],[1]] => 6
[[4,1,1,0],[3,1,0],[3,1],[1]] => 6
[[4,1,1,0],[4,1,0],[3,0],[1]] => 6
[[4,1,1,0],[4,1,0],[2,1],[1]] => 6
[[4,1,1,0],[3,1,1],[2,1],[1]] => 6
[[4,1,1,0],[3,1,0],[3,0],[1]] => 6
[[4,1,1,0],[3,1,0],[2,1],[1]] => 6
[[4,1,1,0],[2,1,1],[2,1],[1]] => 6
[[4,1,1,0],[2,1,0],[2,1],[1]] => 6
[[4,1,1,0],[4,1,0],[2,0],[1]] => 6
[[4,1,1,0],[4,1,0],[1,1],[1]] => 6
[[4,1,1,0],[3,1,1],[1,1],[1]] => 6
[[4,1,1,0],[3,1,0],[2,0],[1]] => 6
[[4,1,1,0],[3,1,0],[1,1],[1]] => 6
[[4,1,1,0],[2,1,1],[1,1],[1]] => 6
[[4,1,1,0],[2,1,0],[2,0],[1]] => 6
[[4,1,1,0],[2,1,0],[1,1],[1]] => 6
[[4,1,1,0],[1,1,1],[1,1],[1]] => 6
[[4,1,1,0],[1,1,0],[1,1],[1]] => 6
[[4,1,1,0],[4,1,0],[1,0],[1]] => 6
[[4,1,1,0],[3,1,0],[1,0],[1]] => 6
[[4,1,1,0],[2,1,0],[1,0],[1]] => 6
[[4,1,1,0],[1,1,0],[1,0],[1]] => 6
[[4,1,1,0],[4,1,0],[4,0],[0]] => 6
[[4,1,1,0],[4,1,0],[3,0],[0]] => 6
[[4,1,1,0],[3,1,0],[3,0],[0]] => 6
[[4,1,1,0],[4,1,0],[2,0],[0]] => 6
[[4,1,1,0],[3,1,0],[2,0],[0]] => 6
[[4,1,1,0],[2,1,0],[2,0],[0]] => 6
[[4,1,1,0],[4,1,0],[1,0],[0]] => 6
[[4,1,1,0],[3,1,0],[1,0],[0]] => 6
[[4,1,1,0],[2,1,0],[1,0],[0]] => 6
[[4,1,1,0],[1,1,0],[1,0],[0]] => 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]] => 6
[[3,3,0,0],[3,1,0],[3,0],[3]] => 6
[[3,3,0,0],[3,0,0],[3,0],[3]] => 6
[[3,3,0,0],[3,2,0],[3,2],[2]] => 6
[[3,3,0,0],[3,2,0],[3,1],[2]] => 6
[[3,3,0,0],[3,2,0],[2,2],[2]] => 6
[[3,3,0,0],[3,1,0],[3,1],[2]] => 6
[[3,3,0,0],[3,2,0],[3,0],[2]] => 6
[[3,3,0,0],[3,2,0],[2,1],[2]] => 6
[[3,3,0,0],[3,1,0],[3,0],[2]] => 6
[[3,3,0,0],[3,1,0],[2,1],[2]] => 6
[[3,3,0,0],[3,0,0],[3,0],[2]] => 6
[[3,3,0,0],[3,2,0],[2,0],[2]] => 6
[[3,3,0,0],[3,1,0],[2,0],[2]] => 6
[[3,3,0,0],[3,0,0],[2,0],[2]] => 6
[[3,3,0,0],[3,2,0],[3,1],[1]] => 6
[[3,3,0,0],[3,1,0],[3,1],[1]] => 6
[[3,3,0,0],[3,2,0],[3,0],[1]] => 6
[[3,3,0,0],[3,2,0],[2,1],[1]] => 6
[[3,3,0,0],[3,1,0],[3,0],[1]] => 6
[[3,3,0,0],[3,1,0],[2,1],[1]] => 6
[[3,3,0,0],[3,0,0],[3,0],[1]] => 6
[[3,3,0,0],[3,2,0],[2,0],[1]] => 6
[[3,3,0,0],[3,1,0],[2,0],[1]] => 6
[[3,3,0,0],[3,1,0],[1,1],[1]] => 6
[[3,3,0,0],[3,0,0],[2,0],[1]] => 6
[[3,3,0,0],[3,1,0],[1,0],[1]] => 6
[[3,3,0,0],[3,0,0],[1,0],[1]] => 6
[[3,3,0,0],[3,2,0],[3,0],[0]] => 6
[[3,3,0,0],[3,1,0],[3,0],[0]] => 6
[[3,3,0,0],[3,0,0],[3,0],[0]] => 6
[[3,3,0,0],[3,2,0],[2,0],[0]] => 6
[[3,3,0,0],[3,1,0],[2,0],[0]] => 6
[[3,3,0,0],[3,0,0],[2,0],[0]] => 6
[[3,3,0,0],[3,1,0],[1,0],[0]] => 6
[[3,3,0,0],[3,0,0],[1,0],[0]] => 6
[[3,3,0,0],[3,0,0],[0,0],[0]] => 6
[[3,2,1,0],[3,2,0],[3,2],[3]] => 6
[[3,2,1,0],[3,2,0],[3,1],[3]] => 6
[[3,2,1,0],[3,1,1],[3,1],[3]] => 6
[[3,2,1,0],[3,1,0],[3,1],[3]] => 6
[[3,2,1,0],[3,2,0],[3,0],[3]] => 6
[[3,2,1,0],[3,1,0],[3,0],[3]] => 6
[[3,2,1,0],[3,2,0],[3,2],[2]] => 6
[[3,2,1,0],[3,2,0],[3,1],[2]] => 6
[[3,2,1,0],[3,1,1],[3,1],[2]] => 6
[[3,2,1,0],[3,2,0],[2,2],[2]] => 6
[[3,2,1,0],[2,2,1],[2,2],[2]] => 6
[[3,2,1,0],[3,1,0],[3,1],[2]] => 6
[[3,2,1,0],[2,2,0],[2,2],[2]] => 6
[[3,2,1,0],[3,2,0],[3,0],[2]] => 6
[[3,2,1,0],[3,2,0],[2,1],[2]] => 6
[[3,2,1,0],[3,1,1],[2,1],[2]] => 6
[[3,2,1,0],[2,2,1],[2,1],[2]] => 6
[[3,2,1,0],[3,1,0],[3,0],[2]] => 6
[[3,2,1,0],[3,1,0],[2,1],[2]] => 6
[[3,2,1,0],[2,2,0],[2,1],[2]] => 6
[[3,2,1,0],[2,1,1],[2,1],[2]] => 6
[[3,2,1,0],[2,1,0],[2,1],[2]] => 6
[[3,2,1,0],[3,2,0],[2,0],[2]] => 6
[[3,2,1,0],[3,1,0],[2,0],[2]] => 6
[[3,2,1,0],[2,2,0],[2,0],[2]] => 6
[[3,2,1,0],[2,1,0],[2,0],[2]] => 6
[[3,2,1,0],[3,2,0],[3,1],[1]] => 6
[[3,2,1,0],[3,1,1],[3,1],[1]] => 6
[[3,2,1,0],[3,1,0],[3,1],[1]] => 6
[[3,2,1,0],[3,2,0],[3,0],[1]] => 6
[[3,2,1,0],[3,2,0],[2,1],[1]] => 6
[[3,2,1,0],[3,1,1],[2,1],[1]] => 6
[[3,2,1,0],[2,2,1],[2,1],[1]] => 6
[[3,2,1,0],[3,1,0],[3,0],[1]] => 6
[[3,2,1,0],[3,1,0],[2,1],[1]] => 6
[[3,2,1,0],[2,2,0],[2,1],[1]] => 6
[[3,2,1,0],[2,1,1],[2,1],[1]] => 6
[[3,2,1,0],[2,1,0],[2,1],[1]] => 6
[[3,2,1,0],[3,2,0],[2,0],[1]] => 6
[[3,2,1,0],[3,1,1],[1,1],[1]] => 6
[[3,2,1,0],[3,1,0],[2,0],[1]] => 6
[[3,2,1,0],[2,2,0],[2,0],[1]] => 6
[[3,2,1,0],[3,1,0],[1,1],[1]] => 6
[[3,2,1,0],[2,1,1],[1,1],[1]] => 6
[[3,2,1,0],[2,1,0],[2,0],[1]] => 6
[[3,2,1,0],[2,1,0],[1,1],[1]] => 6
[[3,2,1,0],[3,1,0],[1,0],[1]] => 6
[[3,2,1,0],[2,1,0],[1,0],[1]] => 6
[[3,2,1,0],[3,2,0],[3,0],[0]] => 6
[[3,2,1,0],[3,1,0],[3,0],[0]] => 6
[[3,2,1,0],[3,2,0],[2,0],[0]] => 6
[[3,2,1,0],[3,1,0],[2,0],[0]] => 6
[[3,2,1,0],[2,2,0],[2,0],[0]] => 6
[[3,2,1,0],[2,1,0],[2,0],[0]] => 6
[[3,2,1,0],[3,1,0],[1,0],[0]] => 6
[[3,2,1,0],[2,1,0],[1,0],[0]] => 6
[[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]] => 6
[[3,1,1,1],[3,1,1],[2,1],[1]] => 6
[[3,1,1,1],[2,1,1],[2,1],[1]] => 6
[[3,1,1,1],[3,1,1],[1,1],[1]] => 6
[[3,1,1,1],[2,1,1],[1,1],[1]] => 6
[[3,1,1,1],[1,1,1],[1,1],[1]] => 6
[[2,2,2,0],[2,2,1],[2,2],[2]] => 6
[[2,2,2,0],[2,2,0],[2,2],[2]] => 6
[[2,2,2,0],[2,2,1],[2,1],[2]] => 6
[[2,2,2,0],[2,2,0],[2,1],[2]] => 6
[[2,2,2,0],[2,2,0],[2,0],[2]] => 6
[[2,2,2,0],[2,2,1],[2,1],[1]] => 6
[[2,2,2,0],[2,2,0],[2,1],[1]] => 6
[[2,2,2,0],[2,2,0],[2,0],[1]] => 6
[[2,2,2,0],[2,2,0],[2,0],[0]] => 6
[[2,2,1,1],[2,2,1],[2,2],[2]] => 6
[[2,2,1,1],[2,2,1],[2,1],[2]] => 6
[[2,2,1,1],[2,1,1],[2,1],[2]] => 6
[[2,2,1,1],[2,2,1],[2,1],[1]] => 6
[[2,2,1,1],[2,1,1],[2,1],[1]] => 6
[[2,2,1,1],[2,1,1],[1,1],[1]] => 6
[[0]] => 0
[[0,0],[0]] => 0
[[0,0,0],[0,0],[0]] => 0
[[3,3,2],[3,2],[2]] => 8
[[3,3,2],[3,2],[3]] => 8
[[3,3,2],[3,3],[3]] => 8
[[3,3,3],[3,3],[3]] => 9
[[4,2,2],[2,2],[2]] => 8
[[4,2,2],[3,2],[2]] => 8
[[4,2,2],[3,2],[3]] => 8
[[4,2,2],[4,2],[2]] => 8
[[4,2,2],[4,2],[3]] => 8
[[4,2,2],[4,2],[4]] => 8
[[4,3,0],[4,3],[3]] => 7
[[4,3,0],[4,3],[4]] => 7
[[4,3,1],[3,1],[1]] => 8
[[4,3,1],[3,1],[2]] => 8
[[4,3,1],[3,1],[3]] => 8
[[4,3,1],[3,2],[2]] => 8
[[4,3,1],[3,2],[3]] => 8
[[4,3,1],[3,3],[3]] => 8
[[4,3,1],[4,1],[1]] => 8
[[4,3,1],[4,1],[2]] => 8
[[4,3,1],[4,1],[3]] => 8
[[4,3,1],[4,1],[4]] => 8
[[4,3,1],[4,2],[2]] => 8
[[4,3,1],[4,2],[3]] => 8
[[4,3,1],[4,2],[4]] => 8
[[4,3,1],[4,3],[3]] => 8
[[4,3,1],[4,3],[4]] => 8
[[4,3,2],[3,2],[2]] => 9
[[4,3,2],[3,2],[3]] => 9
[[4,3,2],[3,3],[3]] => 9
[[4,3,2],[4,2],[2]] => 9
[[4,3,2],[4,2],[3]] => 9
[[4,3,2],[4,2],[4]] => 9
[[4,3,2],[4,3],[3]] => 9
[[4,3,2],[4,3],[4]] => 9
[[4,3,3],[3,3],[3]] => 10
[[4,3,3],[4,3],[3]] => 10
[[4,3,3],[4,3],[4]] => 10
[[4,4,0],[4,0],[0]] => 8
[[4,4,0],[4,0],[1]] => 8
[[4,4,0],[4,0],[2]] => 8
[[4,4,0],[4,0],[3]] => 8
[[4,4,0],[4,0],[4]] => 8
[[4,4,0],[4,1],[1]] => 8
[[4,4,0],[4,1],[2]] => 8
[[4,4,0],[4,1],[3]] => 8
[[4,4,0],[4,1],[4]] => 8
[[4,4,0],[4,2],[2]] => 8
[[4,4,0],[4,2],[3]] => 8
[[4,4,0],[4,2],[4]] => 8
[[4,4,0],[4,3],[3]] => 8
[[4,4,0],[4,3],[4]] => 8
[[4,4,0],[4,4],[4]] => 8
[[4,4,1],[4,1],[1]] => 9
[[4,4,1],[4,1],[2]] => 9
[[4,4,1],[4,1],[3]] => 9
[[4,4,1],[4,1],[4]] => 9
[[4,4,1],[4,2],[2]] => 9
[[4,4,1],[4,2],[3]] => 9
[[4,4,1],[4,2],[4]] => 9
[[4,4,1],[4,3],[3]] => 9
[[4,4,1],[4,3],[4]] => 9
[[4,4,1],[4,4],[4]] => 9
[[4,4,2],[4,2],[2]] => 10
[[4,4,2],[4,2],[3]] => 10
[[4,4,2],[4,2],[4]] => 10
[[4,4,2],[4,3],[3]] => 10
[[4,4,2],[4,3],[4]] => 10
[[4,4,2],[4,4],[4]] => 10
[[4,4,3],[4,3],[3]] => 11
[[4,4,3],[4,3],[4]] => 11
[[4,4,3],[4,4],[4]] => 11
[[4,4,4],[4,4],[4]] => 12
[[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,2,2,0],[2,2,2],[2,2],[2]] => 6
[[2,2,2,1],[2,2,1],[2,1],[1]] => 7
[[2,2,2,1],[2,2,1],[2,1],[2]] => 7
[[2,2,2,1],[2,2,1],[2,2],[2]] => 7
[[2,2,2,1],[2,2,2],[2,2],[2]] => 7
[[2,2,2,2],[2,2,2],[2,2],[2]] => 8
[[3,2,1,0],[3,2,1],[2,1],[1]] => 6
[[3,2,1,0],[3,2,1],[2,1],[2]] => 6
[[3,2,1,0],[3,2,1],[2,2],[2]] => 6
[[3,2,1,0],[3,2,1],[3,1],[1]] => 6
[[3,2,1,0],[3,2,1],[3,1],[2]] => 6
[[3,2,1,0],[3,2,1],[3,1],[3]] => 6
[[3,2,1,0],[3,2,1],[3,2],[2]] => 6
[[3,2,1,0],[3,2,1],[3,2],[3]] => 6
[[3,2,1,1],[2,1,1],[1,1],[1]] => 7
[[3,2,1,1],[2,1,1],[2,1],[1]] => 7
[[3,2,1,1],[2,1,1],[2,1],[2]] => 7
[[3,2,1,1],[2,2,1],[2,1],[1]] => 7
[[3,2,1,1],[2,2,1],[2,1],[2]] => 7
[[3,2,1,1],[2,2,1],[2,2],[2]] => 7
[[3,2,1,1],[3,1,1],[1,1],[1]] => 7
[[3,2,1,1],[3,1,1],[2,1],[1]] => 7
[[3,2,1,1],[3,1,1],[2,1],[2]] => 7
[[3,2,1,1],[3,1,1],[3,1],[1]] => 7
[[3,2,1,1],[3,1,1],[3,1],[2]] => 7
[[3,2,1,1],[3,1,1],[3,1],[3]] => 7
[[3,2,1,1],[3,2,1],[2,1],[1]] => 7
[[3,2,1,1],[3,2,1],[2,1],[2]] => 7
[[3,2,1,1],[3,2,1],[2,2],[2]] => 7
[[3,2,1,1],[3,2,1],[3,1],[1]] => 7
[[3,2,1,1],[3,2,1],[3,1],[2]] => 7
[[3,2,1,1],[3,2,1],[3,1],[3]] => 7
[[3,2,1,1],[3,2,1],[3,2],[2]] => 7
[[3,2,1,1],[3,2,1],[3,2],[3]] => 7
[[3,2,2,0],[2,2,0],[2,0],[0]] => 7
[[3,2,2,0],[2,2,0],[2,0],[1]] => 7
[[3,2,2,0],[2,2,0],[2,0],[2]] => 7
[[3,2,2,0],[2,2,0],[2,1],[1]] => 7
[[3,2,2,0],[2,2,0],[2,1],[2]] => 7
[[3,2,2,0],[2,2,0],[2,2],[2]] => 7
[[3,2,2,0],[2,2,1],[2,1],[1]] => 7
[[3,2,2,0],[2,2,1],[2,1],[2]] => 7
[[3,2,2,0],[2,2,1],[2,2],[2]] => 7
[[3,2,2,0],[2,2,2],[2,2],[2]] => 7
[[3,2,2,0],[3,2,0],[2,0],[0]] => 7
[[3,2,2,0],[3,2,0],[2,0],[1]] => 7
[[3,2,2,0],[3,2,0],[2,0],[2]] => 7
[[3,2,2,0],[3,2,0],[2,1],[1]] => 7
[[3,2,2,0],[3,2,0],[2,1],[2]] => 7
[[3,2,2,0],[3,2,0],[2,2],[2]] => 7
[[3,2,2,0],[3,2,0],[3,0],[0]] => 7
[[3,2,2,0],[3,2,0],[3,0],[1]] => 7
[[3,2,2,0],[3,2,0],[3,0],[2]] => 7
[[3,2,2,0],[3,2,0],[3,0],[3]] => 7
[[3,2,2,0],[3,2,0],[3,1],[1]] => 7
[[3,2,2,0],[3,2,0],[3,1],[2]] => 7
[[3,2,2,0],[3,2,0],[3,1],[3]] => 7
[[3,2,2,0],[3,2,0],[3,2],[2]] => 7
[[3,2,2,0],[3,2,0],[3,2],[3]] => 7
[[3,2,2,0],[3,2,1],[2,1],[1]] => 7
[[3,2,2,0],[3,2,1],[2,1],[2]] => 7
[[3,2,2,0],[3,2,1],[2,2],[2]] => 7
[[3,2,2,0],[3,2,1],[3,1],[1]] => 7
[[3,2,2,0],[3,2,1],[3,1],[2]] => 7
[[3,2,2,0],[3,2,1],[3,1],[3]] => 7
[[3,2,2,0],[3,2,1],[3,2],[2]] => 7
[[3,2,2,0],[3,2,1],[3,2],[3]] => 7
[[3,2,2,0],[3,2,2],[2,2],[2]] => 7
[[3,2,2,0],[3,2,2],[3,2],[2]] => 7
[[3,2,2,0],[3,2,2],[3,2],[3]] => 7
[[3,2,2,1],[2,2,1],[2,1],[1]] => 8
[[3,2,2,1],[2,2,1],[2,1],[2]] => 8
[[3,2,2,1],[2,2,1],[2,2],[2]] => 8
[[3,2,2,1],[2,2,2],[2,2],[2]] => 8
[[3,2,2,1],[3,2,1],[2,1],[1]] => 8
[[3,2,2,1],[3,2,1],[2,1],[2]] => 8
[[3,2,2,1],[3,2,1],[2,2],[2]] => 8
[[3,2,2,1],[3,2,1],[3,1],[1]] => 8
[[3,2,2,1],[3,2,1],[3,1],[2]] => 8
[[3,2,2,1],[3,2,1],[3,1],[3]] => 8
[[3,2,2,1],[3,2,1],[3,2],[2]] => 8
[[3,2,2,1],[3,2,1],[3,2],[3]] => 8
[[3,2,2,1],[3,2,2],[2,2],[2]] => 8
[[3,2,2,1],[3,2,2],[3,2],[2]] => 8
[[3,2,2,1],[3,2,2],[3,2],[3]] => 8
[[3,2,2,2],[2,2,2],[2,2],[2]] => 9
[[3,2,2,2],[3,2,2],[2,2],[2]] => 9
[[3,2,2,2],[3,2,2],[3,2],[2]] => 9
[[3,2,2,2],[3,2,2],[3,2],[3]] => 9
[[3,3,0,0],[3,3,0],[3,0],[0]] => 6
[[3,3,0,0],[3,3,0],[3,0],[1]] => 6
[[3,3,0,0],[3,3,0],[3,0],[2]] => 6
[[3,3,0,0],[3,3,0],[3,0],[3]] => 6
[[3,3,0,0],[3,3,0],[3,1],[1]] => 6
[[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]] => 6
[[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]] => 7
[[3,3,1,0],[3,1,0],[1,0],[1]] => 7
[[3,3,1,0],[3,1,0],[1,1],[1]] => 7
[[3,3,1,0],[3,1,0],[2,0],[0]] => 7
[[3,3,1,0],[3,1,0],[2,0],[1]] => 7
[[3,3,1,0],[3,1,0],[2,0],[2]] => 7
[[3,3,1,0],[3,1,0],[2,1],[1]] => 7
[[3,3,1,0],[3,1,0],[2,1],[2]] => 7
[[3,3,1,0],[3,1,0],[3,0],[0]] => 7
[[3,3,1,0],[3,1,0],[3,0],[1]] => 7
[[3,3,1,0],[3,1,0],[3,0],[2]] => 7
[[3,3,1,0],[3,1,0],[3,0],[3]] => 7
[[3,3,1,0],[3,1,0],[3,1],[1]] => 7
[[3,3,1,0],[3,1,0],[3,1],[2]] => 7
[[3,3,1,0],[3,1,0],[3,1],[3]] => 7
[[3,3,1,0],[3,1,1],[1,1],[1]] => 7
[[3,3,1,0],[3,1,1],[2,1],[1]] => 7
[[3,3,1,0],[3,1,1],[2,1],[2]] => 7
[[3,3,1,0],[3,1,1],[3,1],[1]] => 7
[[3,3,1,0],[3,1,1],[3,1],[2]] => 7
[[3,3,1,0],[3,1,1],[3,1],[3]] => 7
[[3,3,1,0],[3,2,0],[2,0],[0]] => 7
[[3,3,1,0],[3,2,0],[2,0],[1]] => 7
[[3,3,1,0],[3,2,0],[2,0],[2]] => 7
[[3,3,1,0],[3,2,0],[2,1],[1]] => 7
[[3,3,1,0],[3,2,0],[2,1],[2]] => 7
[[3,3,1,0],[3,2,0],[2,2],[2]] => 7
[[3,3,1,0],[3,2,0],[3,0],[0]] => 7
[[3,3,1,0],[3,2,0],[3,0],[1]] => 7
[[3,3,1,0],[3,2,0],[3,0],[2]] => 7
[[3,3,1,0],[3,2,0],[3,0],[3]] => 7
[[3,3,1,0],[3,2,0],[3,1],[1]] => 7
[[3,3,1,0],[3,2,0],[3,1],[2]] => 7
[[3,3,1,0],[3,2,0],[3,1],[3]] => 7
[[3,3,1,0],[3,2,0],[3,2],[2]] => 7
[[3,3,1,0],[3,2,0],[3,2],[3]] => 7
[[3,3,1,0],[3,2,1],[2,1],[1]] => 7
[[3,3,1,0],[3,2,1],[2,1],[2]] => 7
[[3,3,1,0],[3,2,1],[2,2],[2]] => 7
[[3,3,1,0],[3,2,1],[3,1],[1]] => 7
[[3,3,1,0],[3,2,1],[3,1],[2]] => 7
[[3,3,1,0],[3,2,1],[3,1],[3]] => 7
[[3,3,1,0],[3,2,1],[3,2],[2]] => 7
[[3,3,1,0],[3,2,1],[3,2],[3]] => 7
[[3,3,1,0],[3,3,0],[3,0],[0]] => 7
[[3,3,1,0],[3,3,0],[3,0],[1]] => 7
[[3,3,1,0],[3,3,0],[3,0],[2]] => 7
[[3,3,1,0],[3,3,0],[3,0],[3]] => 7
[[3,3,1,0],[3,3,0],[3,1],[1]] => 7
[[3,3,1,0],[3,3,0],[3,1],[2]] => 7
[[3,3,1,0],[3,3,0],[3,1],[3]] => 7
[[3,3,1,0],[3,3,0],[3,2],[2]] => 7
[[3,3,1,0],[3,3,0],[3,2],[3]] => 7
[[3,3,1,0],[3,3,0],[3,3],[3]] => 7
[[3,3,1,0],[3,3,1],[3,1],[1]] => 7
[[3,3,1,0],[3,3,1],[3,1],[2]] => 7
[[3,3,1,0],[3,3,1],[3,1],[3]] => 7
[[3,3,1,0],[3,3,1],[3,2],[2]] => 7
[[3,3,1,0],[3,3,1],[3,2],[3]] => 7
[[3,3,1,0],[3,3,1],[3,3],[3]] => 7
[[3,3,1,1],[3,1,1],[1,1],[1]] => 8
[[3,3,1,1],[3,1,1],[2,1],[1]] => 8
[[3,3,1,1],[3,1,1],[2,1],[2]] => 8
[[3,3,1,1],[3,1,1],[3,1],[1]] => 8
[[3,3,1,1],[3,1,1],[3,1],[2]] => 8
[[3,3,1,1],[3,1,1],[3,1],[3]] => 8
[[3,3,1,1],[3,2,1],[2,1],[1]] => 8
[[3,3,1,1],[3,2,1],[2,1],[2]] => 8
[[3,3,1,1],[3,2,1],[2,2],[2]] => 8
[[3,3,1,1],[3,2,1],[3,1],[1]] => 8
[[3,3,1,1],[3,2,1],[3,1],[2]] => 8
[[3,3,1,1],[3,2,1],[3,1],[3]] => 8
[[3,3,1,1],[3,2,1],[3,2],[2]] => 8
[[3,3,1,1],[3,2,1],[3,2],[3]] => 8
[[3,3,1,1],[3,3,1],[3,1],[1]] => 8
[[3,3,1,1],[3,3,1],[3,1],[2]] => 8
[[3,3,1,1],[3,3,1],[3,1],[3]] => 8
[[3,3,1,1],[3,3,1],[3,2],[2]] => 8
[[3,3,1,1],[3,3,1],[3,2],[3]] => 8
[[3,3,1,1],[3,3,1],[3,3],[3]] => 8
[[3,3,2,0],[3,2,0],[2,0],[0]] => 8
[[3,3,2,0],[3,2,0],[2,0],[1]] => 8
[[3,3,2,0],[3,2,0],[2,0],[2]] => 8
[[3,3,2,0],[3,2,0],[2,1],[1]] => 8
[[3,3,2,0],[3,2,0],[2,1],[2]] => 8
[[3,3,2,0],[3,2,0],[2,2],[2]] => 8
[[3,3,2,0],[3,2,0],[3,0],[0]] => 8
[[3,3,2,0],[3,2,0],[3,0],[1]] => 8
[[3,3,2,0],[3,2,0],[3,0],[2]] => 8
[[3,3,2,0],[3,2,0],[3,0],[3]] => 8
[[3,3,2,0],[3,2,0],[3,1],[1]] => 8
[[3,3,2,0],[3,2,0],[3,1],[2]] => 8
[[3,3,2,0],[3,2,0],[3,1],[3]] => 8
[[3,3,2,0],[3,2,0],[3,2],[2]] => 8
[[3,3,2,0],[3,2,0],[3,2],[3]] => 8
[[3,3,2,0],[3,2,1],[2,1],[1]] => 8
[[3,3,2,0],[3,2,1],[2,1],[2]] => 8
[[3,3,2,0],[3,2,1],[2,2],[2]] => 8
[[3,3,2,0],[3,2,1],[3,1],[1]] => 8
[[3,3,2,0],[3,2,1],[3,1],[2]] => 8
[[3,3,2,0],[3,2,1],[3,1],[3]] => 8
[[3,3,2,0],[3,2,1],[3,2],[2]] => 8
[[3,3,2,0],[3,2,1],[3,2],[3]] => 8
[[3,3,2,0],[3,2,2],[2,2],[2]] => 8
[[3,3,2,0],[3,2,2],[3,2],[2]] => 8
[[3,3,2,0],[3,2,2],[3,2],[3]] => 8
[[3,3,2,0],[3,3,0],[3,0],[0]] => 8
[[3,3,2,0],[3,3,0],[3,0],[1]] => 8
[[3,3,2,0],[3,3,0],[3,0],[2]] => 8
[[3,3,2,0],[3,3,0],[3,0],[3]] => 8
[[3,3,2,0],[3,3,0],[3,1],[1]] => 8
[[3,3,2,0],[3,3,0],[3,1],[2]] => 8
[[3,3,2,0],[3,3,0],[3,1],[3]] => 8
[[3,3,2,0],[3,3,0],[3,2],[2]] => 8
[[3,3,2,0],[3,3,0],[3,2],[3]] => 8
[[3,3,2,0],[3,3,0],[3,3],[3]] => 8
[[3,3,2,0],[3,3,1],[3,1],[1]] => 8
[[3,3,2,0],[3,3,1],[3,1],[2]] => 8
[[3,3,2,0],[3,3,1],[3,1],[3]] => 8
[[3,3,2,0],[3,3,1],[3,2],[2]] => 8
[[3,3,2,0],[3,3,1],[3,2],[3]] => 8
[[3,3,2,0],[3,3,1],[3,3],[3]] => 8
[[3,3,2,0],[3,3,2],[3,2],[2]] => 8
[[3,3,2,0],[3,3,2],[3,2],[3]] => 8
[[3,3,2,0],[3,3,2],[3,3],[3]] => 8
[[3,3,2,1],[3,2,1],[2,1],[1]] => 9
[[3,3,2,1],[3,2,1],[2,1],[2]] => 9
[[3,3,2,1],[3,2,1],[2,2],[2]] => 9
[[3,3,2,1],[3,2,1],[3,1],[1]] => 9
[[3,3,2,1],[3,2,1],[3,1],[2]] => 9
[[3,3,2,1],[3,2,1],[3,1],[3]] => 9
[[3,3,2,1],[3,2,1],[3,2],[2]] => 9
[[3,3,2,1],[3,2,1],[3,2],[3]] => 9
[[3,3,2,1],[3,2,2],[2,2],[2]] => 9
[[3,3,2,1],[3,2,2],[3,2],[2]] => 9
[[3,3,2,1],[3,2,2],[3,2],[3]] => 9
[[3,3,2,1],[3,3,1],[3,1],[1]] => 9
[[3,3,2,1],[3,3,1],[3,1],[2]] => 9
[[3,3,2,1],[3,3,1],[3,1],[3]] => 9
[[3,3,2,1],[3,3,1],[3,2],[2]] => 9
[[3,3,2,1],[3,3,1],[3,2],[3]] => 9
[[3,3,2,1],[3,3,1],[3,3],[3]] => 9
[[3,3,2,1],[3,3,2],[3,2],[2]] => 9
[[3,3,2,1],[3,3,2],[3,2],[3]] => 9
[[3,3,2,1],[3,3,2],[3,3],[3]] => 9
[[3,3,2,2],[3,2,2],[2,2],[2]] => 10
[[3,3,2,2],[3,2,2],[3,2],[2]] => 10
[[3,3,2,2],[3,2,2],[3,2],[3]] => 10
[[3,3,2,2],[3,3,2],[3,2],[2]] => 10
[[3,3,2,2],[3,3,2],[3,2],[3]] => 10
[[3,3,2,2],[3,3,2],[3,3],[3]] => 10
[[3,3,3,0],[3,3,0],[3,0],[0]] => 9
[[3,3,3,0],[3,3,0],[3,0],[1]] => 9
[[3,3,3,0],[3,3,0],[3,0],[2]] => 9
[[3,3,3,0],[3,3,0],[3,0],[3]] => 9
[[3,3,3,0],[3,3,0],[3,1],[1]] => 9
[[3,3,3,0],[3,3,0],[3,1],[2]] => 9
[[3,3,3,0],[3,3,0],[3,1],[3]] => 9
[[3,3,3,0],[3,3,0],[3,2],[2]] => 9
[[3,3,3,0],[3,3,0],[3,2],[3]] => 9
[[3,3,3,0],[3,3,0],[3,3],[3]] => 9
[[3,3,3,0],[3,3,1],[3,1],[1]] => 9
[[3,3,3,0],[3,3,1],[3,1],[2]] => 9
[[3,3,3,0],[3,3,1],[3,1],[3]] => 9
[[3,3,3,0],[3,3,1],[3,2],[2]] => 9
[[3,3,3,0],[3,3,1],[3,2],[3]] => 9
[[3,3,3,0],[3,3,1],[3,3],[3]] => 9
[[3,3,3,0],[3,3,2],[3,2],[2]] => 9
[[3,3,3,0],[3,3,2],[3,2],[3]] => 9
[[3,3,3,0],[3,3,2],[3,3],[3]] => 9
[[3,3,3,0],[3,3,3],[3,3],[3]] => 9
[[3,3,3,1],[3,3,1],[3,1],[1]] => 10
[[3,3,3,1],[3,3,1],[3,1],[2]] => 10
[[3,3,3,1],[3,3,1],[3,1],[3]] => 10
[[3,3,3,1],[3,3,1],[3,2],[2]] => 10
[[3,3,3,1],[3,3,1],[3,2],[3]] => 10
[[3,3,3,1],[3,3,1],[3,3],[3]] => 10
[[3,3,3,1],[3,3,2],[3,2],[2]] => 10
[[3,3,3,1],[3,3,2],[3,2],[3]] => 10
[[3,3,3,1],[3,3,2],[3,3],[3]] => 10
[[3,3,3,1],[3,3,3],[3,3],[3]] => 10
[[3,3,3,2],[3,3,2],[3,2],[2]] => 11
[[3,3,3,2],[3,3,2],[3,2],[3]] => 11
[[3,3,3,2],[3,3,2],[3,3],[3]] => 11
[[3,3,3,2],[3,3,3],[3,3],[3]] => 11
[[3,3,3,3],[3,3,3],[3,3],[3]] => 12
[[4,1,1,0],[4,1,1],[1,1],[1]] => 6
[[4,1,1,0],[4,1,1],[2,1],[1]] => 6
[[4,1,1,0],[4,1,1],[2,1],[2]] => 6
[[4,1,1,0],[4,1,1],[3,1],[1]] => 6
[[4,1,1,0],[4,1,1],[3,1],[2]] => 6
[[4,1,1,0],[4,1,1],[3,1],[3]] => 6
[[4,1,1,0],[4,1,1],[4,1],[1]] => 6
[[4,1,1,0],[4,1,1],[4,1],[2]] => 6
[[4,1,1,0],[4,1,1],[4,1],[3]] => 6
[[4,1,1,0],[4,1,1],[4,1],[4]] => 6
[[4,1,1,1],[1,1,1],[1,1],[1]] => 7
[[4,1,1,1],[2,1,1],[1,1],[1]] => 7
[[4,1,1,1],[2,1,1],[2,1],[1]] => 7
[[4,1,1,1],[2,1,1],[2,1],[2]] => 7
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Created: May 07, 2014 at 21:43 by Shahana Norton
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Last Updated: May 20, 2016 at 22:11 by Martin Rubey