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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
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-----------------------------------------------------------------------------
Statistic identifier: St000114
-----------------------------------------------------------------------------
Collection: Gelfand-Tsetlin patterns
-----------------------------------------------------------------------------
Description: The sum of the entries of the Gelfand-Tsetlin pattern.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(g):
entry_list = []
for row in g:
for element in row:
entry_list.append(element)
entrysum = 0
for entry in entry_list:
entrysum = entrysum + entry
return entrysum
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 1
[[2]] => 2
[[3]] => 3
[[4]] => 4
[[5]] => 5
[[1,0],[0]] => 1
[[1,0],[1]] => 2
[[2,0],[0]] => 2
[[2,0],[1]] => 3
[[2,0],[2]] => 4
[[1,1],[1]] => 3
[[3,0],[0]] => 3
[[3,0],[1]] => 4
[[3,0],[2]] => 5
[[3,0],[3]] => 6
[[2,1],[1]] => 4
[[2,1],[2]] => 5
[[4,0],[0]] => 4
[[4,0],[1]] => 5
[[4,0],[2]] => 6
[[4,0],[3]] => 7
[[4,0],[4]] => 8
[[3,1],[1]] => 5
[[3,1],[2]] => 6
[[3,1],[3]] => 7
[[2,2],[2]] => 6
[[5,0],[0]] => 5
[[5,0],[1]] => 6
[[5,0],[2]] => 7
[[5,0],[3]] => 8
[[5,0],[4]] => 9
[[5,0],[5]] => 10
[[4,1],[1]] => 6
[[4,1],[2]] => 7
[[4,1],[3]] => 8
[[4,1],[4]] => 9
[[3,2],[2]] => 7
[[3,2],[3]] => 8
[[6,0],[0]] => 6
[[6,0],[1]] => 7
[[6,0],[2]] => 8
[[6,0],[3]] => 9
[[6,0],[4]] => 10
[[6,0],[5]] => 11
[[6,0],[6]] => 12
[[5,1],[1]] => 7
[[5,1],[2]] => 8
[[5,1],[3]] => 9
[[5,1],[4]] => 10
[[5,1],[5]] => 11
[[4,2],[2]] => 8
[[4,2],[3]] => 9
[[4,2],[4]] => 10
[[3,3],[3]] => 9
[[1,0,0],[0,0],[0]] => 1
[[1,0,0],[1,0],[0]] => 2
[[1,0,0],[1,0],[1]] => 3
[[2,0,0],[0,0],[0]] => 2
[[2,0,0],[1,0],[0]] => 3
[[2,0,0],[1,0],[1]] => 4
[[2,0,0],[2,0],[0]] => 4
[[2,0,0],[2,0],[1]] => 5
[[2,0,0],[2,0],[2]] => 6
[[1,1,0],[1,0],[0]] => 3
[[1,1,0],[1,0],[1]] => 4
[[1,1,0],[1,1],[1]] => 5
[[3,0,0],[0,0],[0]] => 3
[[3,0,0],[1,0],[0]] => 4
[[3,0,0],[1,0],[1]] => 5
[[3,0,0],[2,0],[0]] => 5
[[3,0,0],[2,0],[1]] => 6
[[3,0,0],[2,0],[2]] => 7
[[3,0,0],[3,0],[0]] => 6
[[3,0,0],[3,0],[1]] => 7
[[3,0,0],[3,0],[2]] => 8
[[3,0,0],[3,0],[3]] => 9
[[2,1,0],[1,0],[0]] => 4
[[2,1,0],[1,0],[1]] => 5
[[2,1,0],[1,1],[1]] => 6
[[2,1,0],[2,0],[0]] => 5
[[2,1,0],[2,0],[1]] => 6
[[2,1,0],[2,0],[2]] => 7
[[2,1,0],[2,1],[1]] => 7
[[2,1,0],[2,1],[2]] => 8
[[1,1,1],[1,1],[1]] => 6
[[4,0,0],[0,0],[0]] => 4
[[4,0,0],[1,0],[0]] => 5
[[4,0,0],[1,0],[1]] => 6
[[4,0,0],[2,0],[0]] => 6
[[4,0,0],[2,0],[1]] => 7
[[4,0,0],[2,0],[2]] => 8
[[4,0,0],[3,0],[0]] => 7
[[4,0,0],[3,0],[1]] => 8
[[4,0,0],[3,0],[2]] => 9
[[4,0,0],[3,0],[3]] => 10
[[4,0,0],[4,0],[0]] => 8
[[4,0,0],[4,0],[1]] => 9
[[4,0,0],[4,0],[2]] => 10
[[4,0,0],[4,0],[3]] => 11
[[4,0,0],[4,0],[4]] => 12
[[3,1,0],[1,0],[0]] => 5
[[3,1,0],[1,0],[1]] => 6
[[3,1,0],[1,1],[1]] => 7
[[3,1,0],[2,0],[0]] => 6
[[3,1,0],[2,0],[1]] => 7
[[3,1,0],[2,0],[2]] => 8
[[3,1,0],[2,1],[1]] => 8
[[3,1,0],[2,1],[2]] => 9
[[3,1,0],[3,0],[0]] => 7
[[3,1,0],[3,0],[1]] => 8
[[3,1,0],[3,0],[2]] => 9
[[3,1,0],[3,0],[3]] => 10
[[3,1,0],[3,1],[1]] => 9
[[3,1,0],[3,1],[2]] => 10
[[3,1,0],[3,1],[3]] => 11
[[2,2,0],[2,0],[0]] => 6
[[2,2,0],[2,0],[1]] => 7
[[2,2,0],[2,0],[2]] => 8
[[2,2,0],[2,1],[1]] => 8
[[2,2,0],[2,1],[2]] => 9
[[2,2,0],[2,2],[2]] => 10
[[2,1,1],[1,1],[1]] => 7
[[2,1,1],[2,1],[1]] => 8
[[2,1,1],[2,1],[2]] => 9
[[5,0,0],[0,0],[0]] => 5
[[5,0,0],[1,0],[0]] => 6
[[5,0,0],[1,0],[1]] => 7
[[5,0,0],[2,0],[0]] => 7
[[5,0,0],[2,0],[1]] => 8
[[5,0,0],[2,0],[2]] => 9
[[5,0,0],[3,0],[0]] => 8
[[5,0,0],[3,0],[1]] => 9
[[5,0,0],[3,0],[2]] => 10
[[5,0,0],[3,0],[3]] => 11
[[5,0,0],[4,0],[0]] => 9
[[5,0,0],[4,0],[1]] => 10
[[5,0,0],[4,0],[2]] => 11
[[5,0,0],[4,0],[3]] => 12
[[5,0,0],[4,0],[4]] => 13
[[5,0,0],[5,0],[1]] => 11
[[5,0,0],[5,0],[2]] => 12
[[5,0,0],[5,0],[3]] => 13
[[5,0,0],[5,0],[4]] => 14
[[5,0,0],[5,0],[5]] => 15
[[4,1,0],[1,0],[0]] => 6
[[4,1,0],[1,0],[1]] => 7
[[4,1,0],[1,1],[1]] => 8
[[4,1,0],[2,0],[0]] => 7
[[4,1,0],[2,0],[1]] => 8
[[4,1,0],[2,0],[2]] => 9
[[4,1,0],[2,1],[1]] => 9
[[4,1,0],[2,1],[2]] => 10
[[4,1,0],[3,0],[0]] => 8
[[4,1,0],[3,0],[1]] => 9
[[4,1,0],[3,0],[2]] => 10
[[4,1,0],[3,0],[3]] => 11
[[4,1,0],[3,1],[1]] => 10
[[4,1,0],[3,1],[2]] => 11
[[4,1,0],[3,1],[3]] => 12
[[4,1,0],[4,0],[0]] => 9
[[4,1,0],[4,0],[1]] => 10
[[4,1,0],[4,0],[2]] => 11
[[4,1,0],[4,0],[3]] => 12
[[4,1,0],[4,0],[4]] => 13
[[4,1,0],[4,1],[1]] => 11
[[4,1,0],[4,1],[2]] => 12
[[4,1,0],[4,1],[3]] => 13
[[4,1,0],[4,1],[4]] => 14
[[3,2,0],[2,0],[0]] => 7
[[3,2,0],[2,0],[1]] => 8
[[3,2,0],[2,0],[2]] => 9
[[3,2,0],[2,1],[1]] => 9
[[3,2,0],[2,1],[2]] => 10
[[3,2,0],[2,2],[2]] => 11
[[3,2,0],[3,0],[0]] => 8
[[3,2,0],[3,0],[1]] => 9
[[3,2,0],[3,0],[2]] => 10
[[3,2,0],[3,0],[3]] => 11
[[3,2,0],[3,1],[1]] => 10
[[3,2,0],[3,1],[2]] => 11
[[3,2,0],[3,1],[3]] => 12
[[3,2,0],[3,2],[2]] => 12
[[3,2,0],[3,2],[3]] => 13
[[3,1,1],[1,1],[1]] => 8
[[3,1,1],[2,1],[1]] => 9
[[3,1,1],[2,1],[2]] => 10
[[3,1,1],[3,1],[1]] => 10
[[3,1,1],[3,1],[2]] => 11
[[3,1,1],[3,1],[3]] => 12
[[2,2,1],[2,1],[1]] => 9
[[2,2,1],[2,1],[2]] => 10
[[2,2,1],[2,2],[2]] => 11
[[3,3,0],[3,0],[0]] => 9
[[3,3,0],[3,0],[1]] => 10
[[3,3,0],[3,0],[2]] => 11
[[3,3,0],[3,0],[3]] => 12
[[3,3,0],[3,1],[1]] => 11
[[3,3,0],[3,1],[2]] => 12
[[3,3,0],[3,1],[3]] => 13
[[3,3,0],[3,2],[2]] => 13
[[3,3,0],[3,2],[3]] => 14
[[3,3,0],[3,3],[3]] => 15
[[3,2,1],[2,1],[1]] => 10
[[3,2,1],[2,1],[2]] => 11
[[3,2,1],[2,2],[2]] => 12
[[3,2,1],[3,1],[1]] => 11
[[3,2,1],[3,1],[2]] => 12
[[3,2,1],[3,1],[3]] => 13
[[3,2,1],[3,2],[2]] => 13
[[3,2,1],[3,2],[3]] => 14
[[2,2,2],[2,2],[2]] => 12
[[3,3,1],[3,3],[3]] => 16
[[3,3,1],[3,2],[3]] => 15
[[3,3,1],[3,1],[3]] => 14
[[3,3,1],[3,2],[2]] => 14
[[3,3,1],[3,1],[2]] => 13
[[3,3,1],[3,1],[1]] => 12
[[3,2,2],[3,2],[3]] => 15
[[3,2,2],[3,2],[2]] => 14
[[3,2,2],[2,2],[2]] => 13
[[1,0,0,0],[0,0,0],[0,0],[0]] => 1
[[1,0,0,0],[1,0,0],[0,0],[0]] => 2
[[1,0,0,0],[1,0,0],[1,0],[0]] => 3
[[1,0,0,0],[1,0,0],[1,0],[1]] => 4
[[2,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0],[1,0,0],[0,0],[0]] => 3
[[2,0,0,0],[1,0,0],[1,0],[0]] => 4
[[2,0,0,0],[1,0,0],[1,0],[1]] => 5
[[2,0,0,0],[2,0,0],[0,0],[0]] => 4
[[2,0,0,0],[2,0,0],[1,0],[0]] => 5
[[2,0,0,0],[2,0,0],[1,0],[1]] => 6
[[2,0,0,0],[2,0,0],[2,0],[0]] => 6
[[2,0,0,0],[2,0,0],[2,0],[1]] => 7
[[2,0,0,0],[2,0,0],[2,0],[2]] => 8
[[1,1,0,0],[1,0,0],[0,0],[0]] => 3
[[1,1,0,0],[1,0,0],[1,0],[0]] => 4
[[1,1,0,0],[1,0,0],[1,0],[1]] => 5
[[1,1,0,0],[1,1,0],[1,0],[0]] => 5
[[1,1,0,0],[1,1,0],[1,0],[1]] => 6
[[1,1,0,0],[1,1,0],[1,1],[1]] => 7
[[3,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,0,0,0],[1,0,0],[0,0],[0]] => 4
[[3,0,0,0],[1,0,0],[1,0],[0]] => 5
[[3,0,0,0],[1,0,0],[1,0],[1]] => 6
[[3,0,0,0],[2,0,0],[0,0],[0]] => 5
[[3,0,0,0],[2,0,0],[1,0],[0]] => 6
[[3,0,0,0],[2,0,0],[1,0],[1]] => 7
[[3,0,0,0],[2,0,0],[2,0],[0]] => 7
[[3,0,0,0],[2,0,0],[2,0],[1]] => 8
[[3,0,0,0],[2,0,0],[2,0],[2]] => 9
[[3,0,0,0],[3,0,0],[0,0],[0]] => 6
[[3,0,0,0],[3,0,0],[1,0],[0]] => 7
[[3,0,0,0],[3,0,0],[1,0],[1]] => 8
[[3,0,0,0],[3,0,0],[2,0],[0]] => 8
[[3,0,0,0],[3,0,0],[2,0],[1]] => 9
[[3,0,0,0],[3,0,0],[2,0],[2]] => 10
[[3,0,0,0],[3,0,0],[3,0],[0]] => 9
[[3,0,0,0],[3,0,0],[3,0],[1]] => 10
[[3,0,0,0],[3,0,0],[3,0],[2]] => 11
[[3,0,0,0],[3,0,0],[3,0],[3]] => 12
[[2,1,0,0],[1,0,0],[0,0],[0]] => 4
[[2,1,0,0],[1,0,0],[1,0],[0]] => 5
[[2,1,0,0],[1,0,0],[1,0],[1]] => 6
[[2,1,0,0],[1,1,0],[1,0],[0]] => 6
[[2,1,0,0],[1,1,0],[1,0],[1]] => 7
[[2,1,0,0],[1,1,0],[1,1],[1]] => 8
[[2,1,0,0],[2,0,0],[0,0],[0]] => 5
[[2,1,0,0],[2,0,0],[1,0],[0]] => 6
[[2,1,0,0],[2,0,0],[1,0],[1]] => 7
[[2,1,0,0],[2,0,0],[2,0],[0]] => 7
[[2,1,0,0],[2,0,0],[2,0],[1]] => 8
[[2,1,0,0],[2,0,0],[2,0],[2]] => 9
[[2,1,0,0],[2,1,0],[1,0],[0]] => 7
[[2,1,0,0],[2,1,0],[1,0],[1]] => 8
[[2,1,0,0],[2,1,0],[1,1],[1]] => 9
[[2,1,0,0],[2,1,0],[2,0],[0]] => 8
[[2,1,0,0],[2,1,0],[2,0],[1]] => 9
[[2,1,0,0],[2,1,0],[2,0],[2]] => 10
[[2,1,0,0],[2,1,0],[2,1],[1]] => 10
[[2,1,0,0],[2,1,0],[2,1],[2]] => 11
[[1,1,1,0],[1,1,0],[1,0],[0]] => 6
[[1,1,1,0],[1,1,0],[1,0],[1]] => 7
[[1,1,1,0],[1,1,0],[1,1],[1]] => 8
[[1,1,1,0],[1,1,1],[1,1],[1]] => 9
[[4,0,0,0],[0,0,0],[0,0],[0]] => 4
[[4,0,0,0],[1,0,0],[0,0],[0]] => 5
[[4,0,0,0],[1,0,0],[1,0],[0]] => 6
[[4,0,0,0],[1,0,0],[1,0],[1]] => 7
[[4,0,0,0],[2,0,0],[0,0],[0]] => 6
[[4,0,0,0],[2,0,0],[1,0],[0]] => 7
[[4,0,0,0],[2,0,0],[1,0],[1]] => 8
[[4,0,0,0],[2,0,0],[2,0],[0]] => 8
[[4,0,0,0],[2,0,0],[2,0],[1]] => 9
[[4,0,0,0],[2,0,0],[2,0],[2]] => 10
[[4,0,0,0],[3,0,0],[0,0],[0]] => 7
[[4,0,0,0],[3,0,0],[1,0],[0]] => 8
[[4,0,0,0],[3,0,0],[1,0],[1]] => 9
[[4,0,0,0],[3,0,0],[2,0],[0]] => 9
[[4,0,0,0],[3,0,0],[2,0],[1]] => 10
[[4,0,0,0],[3,0,0],[2,0],[2]] => 11
[[4,0,0,0],[3,0,0],[3,0],[0]] => 10
[[4,0,0,0],[3,0,0],[3,0],[1]] => 11
[[4,0,0,0],[3,0,0],[3,0],[2]] => 12
[[4,0,0,0],[3,0,0],[3,0],[3]] => 13
[[4,0,0,0],[4,0,0],[0,0],[0]] => 8
[[4,0,0,0],[4,0,0],[1,0],[0]] => 9
[[4,0,0,0],[4,0,0],[1,0],[1]] => 10
[[4,0,0,0],[4,0,0],[2,0],[0]] => 10
[[4,0,0,0],[4,0,0],[2,0],[1]] => 11
[[4,0,0,0],[4,0,0],[2,0],[2]] => 12
[[4,0,0,0],[4,0,0],[3,0],[0]] => 11
[[4,0,0,0],[4,0,0],[3,0],[1]] => 12
[[4,0,0,0],[4,0,0],[3,0],[2]] => 13
[[4,0,0,0],[4,0,0],[3,0],[3]] => 14
[[4,0,0,0],[4,0,0],[4,0],[0]] => 12
[[4,0,0,0],[4,0,0],[4,0],[1]] => 13
[[4,0,0,0],[4,0,0],[4,0],[2]] => 14
[[4,0,0,0],[4,0,0],[4,0],[3]] => 15
[[4,0,0,0],[4,0,0],[4,0],[4]] => 16
[[3,1,0,0],[1,0,0],[0,0],[0]] => 5
[[3,1,0,0],[1,0,0],[1,0],[0]] => 6
[[3,1,0,0],[1,0,0],[1,0],[1]] => 7
[[3,1,0,0],[1,1,0],[1,0],[0]] => 7
[[3,1,0,0],[1,1,0],[1,0],[1]] => 8
[[3,1,0,0],[1,1,0],[1,1],[1]] => 9
[[3,1,0,0],[2,0,0],[0,0],[0]] => 6
[[3,1,0,0],[2,0,0],[1,0],[0]] => 7
[[3,1,0,0],[2,0,0],[1,0],[1]] => 8
[[3,1,0,0],[2,0,0],[2,0],[0]] => 8
[[3,1,0,0],[2,0,0],[2,0],[1]] => 9
[[3,1,0,0],[2,0,0],[2,0],[2]] => 10
[[3,1,0,0],[2,1,0],[1,0],[0]] => 8
[[3,1,0,0],[2,1,0],[1,0],[1]] => 9
[[3,1,0,0],[2,1,0],[1,1],[1]] => 10
[[3,1,0,0],[2,1,0],[2,0],[0]] => 9
[[3,1,0,0],[2,1,0],[2,0],[1]] => 10
[[3,1,0,0],[2,1,0],[2,0],[2]] => 11
[[3,1,0,0],[2,1,0],[2,1],[1]] => 11
[[3,1,0,0],[2,1,0],[2,1],[2]] => 12
[[3,1,0,0],[3,0,0],[0,0],[0]] => 7
[[3,1,0,0],[3,0,0],[1,0],[0]] => 8
[[3,1,0,0],[3,0,0],[1,0],[1]] => 9
[[3,1,0,0],[3,0,0],[2,0],[0]] => 9
[[3,1,0,0],[3,0,0],[2,0],[1]] => 10
[[3,1,0,0],[3,0,0],[2,0],[2]] => 11
[[3,1,0,0],[3,0,0],[3,0],[0]] => 10
[[3,1,0,0],[3,0,0],[3,0],[1]] => 11
[[3,1,0,0],[3,0,0],[3,0],[2]] => 12
[[3,1,0,0],[3,0,0],[3,0],[3]] => 13
[[3,1,0,0],[3,1,0],[1,0],[0]] => 9
[[3,1,0,0],[3,1,0],[1,0],[1]] => 10
[[3,1,0,0],[3,1,0],[1,1],[1]] => 11
[[3,1,0,0],[3,1,0],[2,0],[0]] => 10
[[3,1,0,0],[3,1,0],[2,0],[1]] => 11
[[3,1,0,0],[3,1,0],[2,0],[2]] => 12
[[3,1,0,0],[3,1,0],[2,1],[1]] => 12
[[3,1,0,0],[3,1,0],[2,1],[2]] => 13
[[3,1,0,0],[3,1,0],[3,0],[0]] => 11
[[3,1,0,0],[3,1,0],[3,0],[1]] => 12
[[3,1,0,0],[3,1,0],[3,0],[2]] => 13
[[3,1,0,0],[3,1,0],[3,0],[3]] => 14
[[3,1,0,0],[3,1,0],[3,1],[1]] => 13
[[3,1,0,0],[3,1,0],[3,1],[2]] => 14
[[3,1,0,0],[3,1,0],[3,1],[3]] => 15
[[2,2,0,0],[2,0,0],[0,0],[0]] => 6
[[2,2,0,0],[2,0,0],[1,0],[0]] => 7
[[2,2,0,0],[2,0,0],[1,0],[1]] => 8
[[2,2,0,0],[2,0,0],[2,0],[0]] => 8
[[2,2,0,0],[2,0,0],[2,0],[1]] => 9
[[2,2,0,0],[2,0,0],[2,0],[2]] => 10
[[2,2,0,0],[2,1,0],[1,0],[0]] => 8
[[2,2,0,0],[2,1,0],[1,0],[1]] => 9
[[2,2,0,0],[2,1,0],[1,1],[1]] => 10
[[2,2,0,0],[2,1,0],[2,0],[0]] => 9
[[2,2,0,0],[2,1,0],[2,0],[1]] => 10
[[2,2,0,0],[2,1,0],[2,0],[2]] => 11
[[2,2,0,0],[2,1,0],[2,1],[1]] => 11
[[2,2,0,0],[2,1,0],[2,1],[2]] => 12
[[2,2,0,0],[2,2,0],[2,0],[0]] => 10
[[2,2,0,0],[2,2,0],[2,0],[1]] => 11
[[2,2,0,0],[2,2,0],[2,0],[2]] => 12
[[2,2,0,0],[2,2,0],[2,1],[1]] => 12
[[2,2,0,0],[2,2,0],[2,1],[2]] => 13
[[2,2,0,0],[2,2,0],[2,2],[2]] => 14
[[2,1,1,0],[1,1,0],[1,0],[0]] => 7
[[2,1,1,0],[1,1,0],[1,0],[1]] => 8
[[2,1,1,0],[1,1,0],[1,1],[1]] => 9
[[2,1,1,0],[1,1,1],[1,1],[1]] => 10
[[2,1,1,0],[2,1,0],[1,0],[0]] => 8
[[2,1,1,0],[2,1,0],[1,0],[1]] => 9
[[2,1,1,0],[2,1,0],[1,1],[1]] => 10
[[2,1,1,0],[2,1,0],[2,0],[0]] => 9
[[2,1,1,0],[2,1,0],[2,0],[1]] => 10
[[2,1,1,0],[2,1,0],[2,0],[2]] => 11
[[2,1,1,0],[2,1,0],[2,1],[1]] => 11
[[2,1,1,0],[2,1,0],[2,1],[2]] => 12
[[2,1,1,0],[2,1,1],[1,1],[1]] => 11
[[2,1,1,0],[2,1,1],[2,1],[1]] => 12
[[2,1,1,0],[2,1,1],[2,1],[2]] => 13
[[1,1,1,1],[1,1,1],[1,1],[1]] => 10
[[4,1,0,0],[1,0,0],[0,0],[0]] => 6
[[4,1,0,0],[1,0,0],[1,0],[0]] => 7
[[4,1,0,0],[1,0,0],[1,0],[1]] => 8
[[4,1,0,0],[1,1,0],[1,0],[0]] => 8
[[4,1,0,0],[1,1,0],[1,0],[1]] => 9
[[4,1,0,0],[1,1,0],[1,1],[1]] => 10
[[4,1,0,0],[2,0,0],[0,0],[0]] => 7
[[4,1,0,0],[2,0,0],[1,0],[0]] => 8
[[4,1,0,0],[2,0,0],[1,0],[1]] => 9
[[4,1,0,0],[2,0,0],[2,0],[0]] => 9
[[4,1,0,0],[2,0,0],[2,0],[1]] => 10
[[4,1,0,0],[2,0,0],[2,0],[2]] => 11
[[4,1,0,0],[2,1,0],[1,0],[0]] => 9
[[4,1,0,0],[2,1,0],[1,0],[1]] => 10
[[4,1,0,0],[2,1,0],[1,1],[1]] => 11
[[4,1,0,0],[2,1,0],[2,0],[0]] => 10
[[4,1,0,0],[2,1,0],[2,0],[1]] => 11
[[4,1,0,0],[2,1,0],[2,0],[2]] => 12
[[4,1,0,0],[2,1,0],[2,1],[1]] => 12
[[4,1,0,0],[2,1,0],[2,1],[2]] => 13
[[4,1,0,0],[3,0,0],[0,0],[0]] => 8
[[4,1,0,0],[3,0,0],[1,0],[0]] => 9
[[4,1,0,0],[3,0,0],[1,0],[1]] => 10
[[4,1,0,0],[3,0,0],[2,0],[0]] => 10
[[4,1,0,0],[3,0,0],[2,0],[1]] => 11
[[4,1,0,0],[3,0,0],[2,0],[2]] => 12
[[4,1,0,0],[3,0,0],[3,0],[0]] => 11
[[4,1,0,0],[3,0,0],[3,0],[1]] => 12
[[4,1,0,0],[3,0,0],[3,0],[2]] => 13
[[4,1,0,0],[3,0,0],[3,0],[3]] => 14
[[4,1,0,0],[3,1,0],[1,0],[0]] => 10
[[4,1,0,0],[3,1,0],[1,0],[1]] => 11
[[4,1,0,0],[3,1,0],[1,1],[1]] => 12
[[4,1,0,0],[3,1,0],[2,0],[0]] => 11
[[4,1,0,0],[3,1,0],[2,0],[1]] => 12
[[4,1,0,0],[3,1,0],[2,0],[2]] => 13
[[4,1,0,0],[3,1,0],[2,1],[1]] => 13
[[4,1,0,0],[3,1,0],[2,1],[2]] => 14
[[4,1,0,0],[3,1,0],[3,0],[0]] => 12
[[4,1,0,0],[3,1,0],[3,0],[1]] => 13
[[4,1,0,0],[3,1,0],[3,0],[2]] => 14
[[4,1,0,0],[3,1,0],[3,0],[3]] => 15
[[4,1,0,0],[3,1,0],[3,1],[1]] => 14
[[4,1,0,0],[3,1,0],[3,1],[2]] => 15
[[4,1,0,0],[3,1,0],[3,1],[3]] => 16
[[4,1,0,0],[4,0,0],[0,0],[0]] => 9
[[4,1,0,0],[4,0,0],[1,0],[0]] => 10
[[4,1,0,0],[4,0,0],[1,0],[1]] => 11
[[4,1,0,0],[4,0,0],[2,0],[0]] => 11
[[4,1,0,0],[4,0,0],[2,0],[1]] => 12
[[4,1,0,0],[4,0,0],[2,0],[2]] => 13
[[4,1,0,0],[4,0,0],[3,0],[0]] => 12
[[4,1,0,0],[4,0,0],[3,0],[1]] => 13
[[4,1,0,0],[4,0,0],[3,0],[2]] => 14
[[4,1,0,0],[4,0,0],[3,0],[3]] => 15
[[4,1,0,0],[4,0,0],[4,0],[0]] => 13
[[4,1,0,0],[4,0,0],[4,0],[1]] => 14
[[4,1,0,0],[4,0,0],[4,0],[2]] => 15
[[4,1,0,0],[4,0,0],[4,0],[3]] => 16
[[4,1,0,0],[4,0,0],[4,0],[4]] => 17
[[4,1,0,0],[4,1,0],[1,0],[0]] => 11
[[4,1,0,0],[4,1,0],[1,0],[1]] => 12
[[4,1,0,0],[4,1,0],[1,1],[1]] => 13
[[4,1,0,0],[4,1,0],[2,0],[0]] => 12
[[4,1,0,0],[4,1,0],[2,0],[1]] => 13
[[4,1,0,0],[4,1,0],[2,0],[2]] => 14
[[4,1,0,0],[4,1,0],[2,1],[1]] => 14
[[4,1,0,0],[4,1,0],[2,1],[2]] => 15
[[4,1,0,0],[4,1,0],[3,0],[0]] => 13
[[4,1,0,0],[4,1,0],[3,0],[1]] => 14
[[4,1,0,0],[4,1,0],[3,0],[2]] => 15
[[4,1,0,0],[4,1,0],[3,0],[3]] => 16
[[4,1,0,0],[4,1,0],[3,1],[1]] => 15
[[4,1,0,0],[4,1,0],[3,1],[2]] => 16
[[4,1,0,0],[4,1,0],[3,1],[3]] => 17
[[4,1,0,0],[4,1,0],[4,0],[0]] => 14
[[4,1,0,0],[4,1,0],[4,0],[1]] => 15
[[4,1,0,0],[4,1,0],[4,0],[2]] => 16
[[4,1,0,0],[4,1,0],[4,0],[3]] => 17
[[4,1,0,0],[4,1,0],[4,0],[4]] => 18
[[4,1,0,0],[4,1,0],[4,1],[1]] => 16
[[4,1,0,0],[4,1,0],[4,1],[2]] => 17
[[4,1,0,0],[4,1,0],[4,1],[3]] => 18
[[4,1,0,0],[4,1,0],[4,1],[4]] => 19
[[3,2,0,0],[2,0,0],[0,0],[0]] => 7
[[3,2,0,0],[2,0,0],[1,0],[0]] => 8
[[3,2,0,0],[2,0,0],[1,0],[1]] => 9
[[3,2,0,0],[2,0,0],[2,0],[0]] => 9
[[3,2,0,0],[2,0,0],[2,0],[1]] => 10
[[3,2,0,0],[2,0,0],[2,0],[2]] => 11
[[3,2,0,0],[2,1,0],[1,0],[0]] => 9
[[3,2,0,0],[2,1,0],[1,0],[1]] => 10
[[3,2,0,0],[2,1,0],[1,1],[1]] => 11
[[3,2,0,0],[2,1,0],[2,0],[0]] => 10
[[3,2,0,0],[2,1,0],[2,0],[1]] => 11
[[3,2,0,0],[2,1,0],[2,0],[2]] => 12
[[3,2,0,0],[2,1,0],[2,1],[1]] => 12
[[3,2,0,0],[2,1,0],[2,1],[2]] => 13
[[3,2,0,0],[2,2,0],[2,0],[0]] => 11
[[3,2,0,0],[2,2,0],[2,0],[1]] => 12
[[3,2,0,0],[2,2,0],[2,0],[2]] => 13
[[3,2,0,0],[2,2,0],[2,1],[1]] => 13
[[3,2,0,0],[2,2,0],[2,1],[2]] => 14
[[3,2,0,0],[2,2,0],[2,2],[2]] => 15
[[3,2,0,0],[3,0,0],[0,0],[0]] => 8
[[3,2,0,0],[3,0,0],[1,0],[0]] => 9
[[3,2,0,0],[3,0,0],[1,0],[1]] => 10
[[3,2,0,0],[3,0,0],[2,0],[0]] => 10
[[3,2,0,0],[3,0,0],[2,0],[1]] => 11
[[3,2,0,0],[3,0,0],[2,0],[2]] => 12
[[3,2,0,0],[3,0,0],[3,0],[0]] => 11
[[3,2,0,0],[3,0,0],[3,0],[1]] => 12
[[3,2,0,0],[3,0,0],[3,0],[2]] => 13
[[3,2,0,0],[3,0,0],[3,0],[3]] => 14
[[3,2,0,0],[3,1,0],[1,0],[0]] => 10
[[3,2,0,0],[3,1,0],[1,0],[1]] => 11
[[3,2,0,0],[3,1,0],[1,1],[1]] => 12
[[3,2,0,0],[3,1,0],[2,0],[0]] => 11
[[3,2,0,0],[3,1,0],[2,0],[1]] => 12
[[3,2,0,0],[3,1,0],[2,0],[2]] => 13
[[3,2,0,0],[3,1,0],[2,1],[1]] => 13
[[3,2,0,0],[3,1,0],[2,1],[2]] => 14
[[3,2,0,0],[3,1,0],[3,0],[0]] => 12
[[3,2,0,0],[3,1,0],[3,0],[1]] => 13
[[3,2,0,0],[3,1,0],[3,0],[2]] => 14
[[3,2,0,0],[3,1,0],[3,0],[3]] => 15
[[3,2,0,0],[3,1,0],[3,1],[1]] => 14
[[3,2,0,0],[3,1,0],[3,1],[2]] => 15
[[3,2,0,0],[3,1,0],[3,1],[3]] => 16
[[3,2,0,0],[3,2,0],[2,0],[0]] => 12
[[3,2,0,0],[3,2,0],[2,0],[1]] => 13
[[3,2,0,0],[3,2,0],[2,0],[2]] => 14
[[3,2,0,0],[3,2,0],[2,1],[1]] => 14
[[3,2,0,0],[3,2,0],[2,1],[2]] => 15
[[3,2,0,0],[3,2,0],[2,2],[2]] => 16
[[3,2,0,0],[3,2,0],[3,0],[0]] => 13
[[3,2,0,0],[3,2,0],[3,0],[1]] => 14
[[3,2,0,0],[3,2,0],[3,0],[2]] => 15
[[3,2,0,0],[3,2,0],[3,0],[3]] => 16
[[3,2,0,0],[3,2,0],[3,1],[1]] => 15
[[3,2,0,0],[3,2,0],[3,1],[2]] => 16
[[3,2,0,0],[3,2,0],[3,1],[3]] => 17
[[3,2,0,0],[3,2,0],[3,2],[2]] => 17
[[3,2,0,0],[3,2,0],[3,2],[3]] => 18
[[3,1,1,0],[1,1,0],[1,0],[0]] => 8
[[3,1,1,0],[1,1,0],[1,0],[1]] => 9
[[3,1,1,0],[1,1,0],[1,1],[1]] => 10
[[3,1,1,0],[1,1,1],[1,1],[1]] => 11
[[3,1,1,0],[2,1,0],[1,0],[0]] => 9
[[3,1,1,0],[2,1,0],[1,0],[1]] => 10
[[3,1,1,0],[2,1,0],[1,1],[1]] => 11
[[3,1,1,0],[2,1,0],[2,0],[0]] => 10
[[3,1,1,0],[2,1,0],[2,0],[1]] => 11
[[3,1,1,0],[2,1,0],[2,0],[2]] => 12
[[3,1,1,0],[2,1,0],[2,1],[1]] => 12
[[3,1,1,0],[2,1,0],[2,1],[2]] => 13
[[3,1,1,0],[2,1,1],[1,1],[1]] => 12
[[3,1,1,0],[2,1,1],[2,1],[1]] => 13
[[3,1,1,0],[2,1,1],[2,1],[2]] => 14
[[3,1,1,0],[3,1,0],[1,0],[0]] => 10
[[3,1,1,0],[3,1,0],[1,0],[1]] => 11
[[3,1,1,0],[3,1,0],[1,1],[1]] => 12
[[3,1,1,0],[3,1,0],[2,0],[0]] => 11
[[3,1,1,0],[3,1,0],[2,0],[1]] => 12
[[3,1,1,0],[3,1,0],[2,0],[2]] => 13
[[3,1,1,0],[3,1,0],[2,1],[1]] => 13
[[3,1,1,0],[3,1,0],[2,1],[2]] => 14
[[3,1,1,0],[3,1,0],[3,0],[0]] => 12
[[3,1,1,0],[3,1,0],[3,0],[1]] => 13
[[3,1,1,0],[3,1,0],[3,0],[2]] => 14
[[3,1,1,0],[3,1,0],[3,0],[3]] => 15
[[3,1,1,0],[3,1,0],[3,1],[1]] => 14
[[3,1,1,0],[3,1,0],[3,1],[2]] => 15
[[3,1,1,0],[3,1,0],[3,1],[3]] => 16
[[3,1,1,0],[3,1,1],[1,1],[1]] => 13
[[3,1,1,0],[3,1,1],[2,1],[1]] => 14
[[3,1,1,0],[3,1,1],[2,1],[2]] => 15
[[3,1,1,0],[3,1,1],[3,1],[1]] => 15
[[3,1,1,0],[3,1,1],[3,1],[2]] => 16
[[3,1,1,0],[3,1,1],[3,1],[3]] => 17
[[2,2,1,0],[2,1,0],[1,0],[0]] => 9
[[2,2,1,0],[2,1,0],[1,0],[1]] => 10
[[2,2,1,0],[2,1,0],[1,1],[1]] => 11
[[2,2,1,0],[2,1,0],[2,0],[0]] => 10
[[2,2,1,0],[2,1,0],[2,0],[1]] => 11
[[2,2,1,0],[2,1,0],[2,0],[2]] => 12
[[2,2,1,0],[2,1,0],[2,1],[1]] => 12
[[2,2,1,0],[2,1,0],[2,1],[2]] => 13
[[2,2,1,0],[2,1,1],[1,1],[1]] => 12
[[2,2,1,0],[2,1,1],[2,1],[1]] => 13
[[2,2,1,0],[2,1,1],[2,1],[2]] => 14
[[2,2,1,0],[2,2,0],[2,0],[0]] => 11
[[2,2,1,0],[2,2,0],[2,0],[1]] => 12
[[2,2,1,0],[2,2,0],[2,0],[2]] => 13
[[2,2,1,0],[2,2,0],[2,1],[1]] => 13
[[2,2,1,0],[2,2,0],[2,1],[2]] => 14
[[2,2,1,0],[2,2,0],[2,2],[2]] => 15
[[2,2,1,0],[2,2,1],[2,1],[1]] => 14
[[2,2,1,0],[2,2,1],[2,1],[2]] => 15
[[2,2,1,0],[2,2,1],[2,2],[2]] => 16
[[2,1,1,1],[1,1,1],[1,1],[1]] => 11
[[2,1,1,1],[2,1,1],[1,1],[1]] => 12
[[2,1,1,1],[2,1,1],[2,1],[1]] => 13
[[2,1,1,1],[2,1,1],[2,1],[2]] => 14
[[4,2,0,0],[4,1,0],[4,1],[4]] => 20
[[4,2,0,0],[4,1,0],[4,0],[4]] => 19
[[4,2,0,0],[4,0,0],[4,0],[4]] => 18
[[4,2,0,0],[4,1,0],[4,1],[3]] => 19
[[4,2,0,0],[3,2,0],[3,2],[3]] => 19
[[4,2,0,0],[4,1,0],[4,0],[3]] => 18
[[4,2,0,0],[4,1,0],[3,1],[3]] => 18
[[4,2,0,0],[3,2,0],[3,1],[3]] => 18
[[4,2,0,0],[4,0,0],[4,0],[3]] => 17
[[4,2,0,0],[3,1,0],[3,1],[3]] => 17
[[4,2,0,0],[4,1,0],[3,0],[3]] => 17
[[4,2,0,0],[3,2,0],[3,0],[3]] => 17
[[4,2,0,0],[4,0,0],[3,0],[3]] => 16
[[4,2,0,0],[3,1,0],[3,0],[3]] => 16
[[4,2,0,0],[3,0,0],[3,0],[3]] => 15
[[4,2,0,0],[4,1,0],[4,1],[2]] => 18
[[4,2,0,0],[3,2,0],[3,2],[2]] => 18
[[4,2,0,0],[4,1,0],[4,0],[2]] => 17
[[4,2,0,0],[4,1,0],[3,1],[2]] => 17
[[4,2,0,0],[3,2,0],[3,1],[2]] => 17
[[4,2,0,0],[3,2,0],[2,2],[2]] => 17
[[4,2,0,0],[4,0,0],[4,0],[2]] => 16
[[4,2,0,0],[3,1,0],[3,1],[2]] => 16
[[4,2,0,0],[2,2,0],[2,2],[2]] => 16
[[4,2,0,0],[4,1,0],[3,0],[2]] => 16
[[4,2,0,0],[3,2,0],[3,0],[2]] => 16
[[4,2,0,0],[4,1,0],[2,1],[2]] => 16
[[4,2,0,0],[3,2,0],[2,1],[2]] => 16
[[4,2,0,0],[4,0,0],[3,0],[2]] => 15
[[4,2,0,0],[3,1,0],[3,0],[2]] => 15
[[4,2,0,0],[3,1,0],[2,1],[2]] => 15
[[4,2,0,0],[2,2,0],[2,1],[2]] => 15
[[4,2,0,0],[3,0,0],[3,0],[2]] => 14
[[4,2,0,0],[2,1,0],[2,1],[2]] => 14
[[4,2,0,0],[4,1,0],[2,0],[2]] => 15
[[4,2,0,0],[3,2,0],[2,0],[2]] => 15
[[4,2,0,0],[4,0,0],[2,0],[2]] => 14
[[4,2,0,0],[3,1,0],[2,0],[2]] => 14
[[4,2,0,0],[2,2,0],[2,0],[2]] => 14
[[4,2,0,0],[3,0,0],[2,0],[2]] => 13
[[4,2,0,0],[2,1,0],[2,0],[2]] => 13
[[4,2,0,0],[2,0,0],[2,0],[2]] => 12
[[4,2,0,0],[4,1,0],[4,1],[1]] => 17
[[4,2,0,0],[4,1,0],[4,0],[1]] => 16
[[4,2,0,0],[4,1,0],[3,1],[1]] => 16
[[4,2,0,0],[3,2,0],[3,1],[1]] => 16
[[4,2,0,0],[4,0,0],[4,0],[1]] => 15
[[4,2,0,0],[3,1,0],[3,1],[1]] => 15
[[4,2,0,0],[4,1,0],[3,0],[1]] => 15
[[4,2,0,0],[3,2,0],[3,0],[1]] => 15
[[4,2,0,0],[4,1,0],[2,1],[1]] => 15
[[4,2,0,0],[3,2,0],[2,1],[1]] => 15
[[4,2,0,0],[4,0,0],[3,0],[1]] => 14
[[4,2,0,0],[3,1,0],[3,0],[1]] => 14
[[4,2,0,0],[3,1,0],[2,1],[1]] => 14
[[4,2,0,0],[2,2,0],[2,1],[1]] => 14
[[4,2,0,0],[3,0,0],[3,0],[1]] => 13
[[4,2,0,0],[2,1,0],[2,1],[1]] => 13
[[4,2,0,0],[4,1,0],[2,0],[1]] => 14
[[4,2,0,0],[3,2,0],[2,0],[1]] => 14
[[4,2,0,0],[4,1,0],[1,1],[1]] => 14
[[4,2,0,0],[4,0,0],[2,0],[1]] => 13
[[4,2,0,0],[3,1,0],[2,0],[1]] => 13
[[4,2,0,0],[2,2,0],[2,0],[1]] => 13
[[4,2,0,0],[3,1,0],[1,1],[1]] => 13
[[4,2,0,0],[3,0,0],[2,0],[1]] => 12
[[4,2,0,0],[2,1,0],[2,0],[1]] => 12
[[4,2,0,0],[2,1,0],[1,1],[1]] => 12
[[4,2,0,0],[2,0,0],[2,0],[1]] => 11
[[4,2,0,0],[4,1,0],[1,0],[1]] => 13
[[4,2,0,0],[4,0,0],[1,0],[1]] => 12
[[4,2,0,0],[3,1,0],[1,0],[1]] => 12
[[4,2,0,0],[3,0,0],[1,0],[1]] => 11
[[4,2,0,0],[2,1,0],[1,0],[1]] => 11
[[4,2,0,0],[2,0,0],[1,0],[1]] => 10
[[4,2,0,0],[4,1,0],[4,0],[0]] => 15
[[4,2,0,0],[4,0,0],[4,0],[0]] => 14
[[4,2,0,0],[4,1,0],[3,0],[0]] => 14
[[4,2,0,0],[3,2,0],[3,0],[0]] => 14
[[4,2,0,0],[4,0,0],[3,0],[0]] => 13
[[4,2,0,0],[3,1,0],[3,0],[0]] => 13
[[4,2,0,0],[3,0,0],[3,0],[0]] => 12
[[4,2,0,0],[4,1,0],[2,0],[0]] => 13
[[4,2,0,0],[3,2,0],[2,0],[0]] => 13
[[4,2,0,0],[4,0,0],[2,0],[0]] => 12
[[4,2,0,0],[3,1,0],[2,0],[0]] => 12
[[4,2,0,0],[2,2,0],[2,0],[0]] => 12
[[4,2,0,0],[3,0,0],[2,0],[0]] => 11
[[4,2,0,0],[2,1,0],[2,0],[0]] => 11
[[4,2,0,0],[2,0,0],[2,0],[0]] => 10
[[4,2,0,0],[4,1,0],[1,0],[0]] => 12
[[4,2,0,0],[4,0,0],[1,0],[0]] => 11
[[4,2,0,0],[3,1,0],[1,0],[0]] => 11
[[4,2,0,0],[3,0,0],[1,0],[0]] => 10
[[4,2,0,0],[2,1,0],[1,0],[0]] => 10
[[4,2,0,0],[2,0,0],[1,0],[0]] => 9
[[4,2,0,0],[4,0,0],[0,0],[0]] => 10
[[4,2,0,0],[3,0,0],[0,0],[0]] => 9
[[4,2,0,0],[2,0,0],[0,0],[0]] => 8
[[4,1,1,0],[4,1,0],[4,1],[4]] => 20
[[4,1,1,0],[4,1,0],[4,0],[4]] => 19
[[4,1,1,0],[4,1,0],[4,1],[3]] => 19
[[4,1,1,0],[4,1,0],[4,0],[3]] => 18
[[4,1,1,0],[4,1,0],[3,1],[3]] => 18
[[4,1,1,0],[3,1,1],[3,1],[3]] => 18
[[4,1,1,0],[3,1,0],[3,1],[3]] => 17
[[4,1,1,0],[4,1,0],[3,0],[3]] => 17
[[4,1,1,0],[3,1,0],[3,0],[3]] => 16
[[4,1,1,0],[4,1,0],[4,1],[2]] => 18
[[4,1,1,0],[4,1,0],[4,0],[2]] => 17
[[4,1,1,0],[4,1,0],[3,1],[2]] => 17
[[4,1,1,0],[3,1,1],[3,1],[2]] => 17
[[4,1,1,0],[3,1,0],[3,1],[2]] => 16
[[4,1,1,0],[4,1,0],[3,0],[2]] => 16
[[4,1,1,0],[4,1,0],[2,1],[2]] => 16
[[4,1,1,0],[3,1,1],[2,1],[2]] => 16
[[4,1,1,0],[3,1,0],[3,0],[2]] => 15
[[4,1,1,0],[3,1,0],[2,1],[2]] => 15
[[4,1,1,0],[2,1,1],[2,1],[2]] => 15
[[4,1,1,0],[2,1,0],[2,1],[2]] => 14
[[4,1,1,0],[4,1,0],[2,0],[2]] => 15
[[4,1,1,0],[3,1,0],[2,0],[2]] => 14
[[4,1,1,0],[2,1,0],[2,0],[2]] => 13
[[4,1,1,0],[4,1,0],[4,1],[1]] => 17
[[4,1,1,0],[4,1,0],[4,0],[1]] => 16
[[4,1,1,0],[4,1,0],[3,1],[1]] => 16
[[4,1,1,0],[3,1,1],[3,1],[1]] => 16
[[4,1,1,0],[3,1,0],[3,1],[1]] => 15
[[4,1,1,0],[4,1,0],[3,0],[1]] => 15
[[4,1,1,0],[4,1,0],[2,1],[1]] => 15
[[4,1,1,0],[3,1,1],[2,1],[1]] => 15
[[4,1,1,0],[3,1,0],[3,0],[1]] => 14
[[4,1,1,0],[3,1,0],[2,1],[1]] => 14
[[4,1,1,0],[2,1,1],[2,1],[1]] => 14
[[4,1,1,0],[2,1,0],[2,1],[1]] => 13
[[4,1,1,0],[4,1,0],[2,0],[1]] => 14
[[4,1,1,0],[4,1,0],[1,1],[1]] => 14
[[4,1,1,0],[3,1,1],[1,1],[1]] => 14
[[4,1,1,0],[3,1,0],[2,0],[1]] => 13
[[4,1,1,0],[3,1,0],[1,1],[1]] => 13
[[4,1,1,0],[2,1,1],[1,1],[1]] => 13
[[4,1,1,0],[2,1,0],[2,0],[1]] => 12
[[4,1,1,0],[2,1,0],[1,1],[1]] => 12
[[4,1,1,0],[1,1,1],[1,1],[1]] => 12
[[4,1,1,0],[1,1,0],[1,1],[1]] => 11
[[4,1,1,0],[4,1,0],[1,0],[1]] => 13
[[4,1,1,0],[3,1,0],[1,0],[1]] => 12
[[4,1,1,0],[2,1,0],[1,0],[1]] => 11
[[4,1,1,0],[1,1,0],[1,0],[1]] => 10
[[4,1,1,0],[4,1,0],[4,0],[0]] => 15
[[4,1,1,0],[4,1,0],[3,0],[0]] => 14
[[4,1,1,0],[3,1,0],[3,0],[0]] => 13
[[4,1,1,0],[4,1,0],[2,0],[0]] => 13
[[4,1,1,0],[3,1,0],[2,0],[0]] => 12
[[4,1,1,0],[2,1,0],[2,0],[0]] => 11
[[4,1,1,0],[4,1,0],[1,0],[0]] => 12
[[4,1,1,0],[3,1,0],[1,0],[0]] => 11
[[4,1,1,0],[2,1,0],[1,0],[0]] => 10
[[4,1,1,0],[1,1,0],[1,0],[0]] => 9
[[3,3,0,0],[3,2,0],[3,2],[3]] => 19
[[3,3,0,0],[3,2,0],[3,1],[3]] => 18
[[3,3,0,0],[3,1,0],[3,1],[3]] => 17
[[3,3,0,0],[3,2,0],[3,0],[3]] => 17
[[3,3,0,0],[3,1,0],[3,0],[3]] => 16
[[3,3,0,0],[3,0,0],[3,0],[3]] => 15
[[3,3,0,0],[3,2,0],[3,2],[2]] => 18
[[3,3,0,0],[3,2,0],[3,1],[2]] => 17
[[3,3,0,0],[3,2,0],[2,2],[2]] => 17
[[3,3,0,0],[3,1,0],[3,1],[2]] => 16
[[3,3,0,0],[3,2,0],[3,0],[2]] => 16
[[3,3,0,0],[3,2,0],[2,1],[2]] => 16
[[3,3,0,0],[3,1,0],[3,0],[2]] => 15
[[3,3,0,0],[3,1,0],[2,1],[2]] => 15
[[3,3,0,0],[3,0,0],[3,0],[2]] => 14
[[3,3,0,0],[3,2,0],[2,0],[2]] => 15
[[3,3,0,0],[3,1,0],[2,0],[2]] => 14
[[3,3,0,0],[3,0,0],[2,0],[2]] => 13
[[3,3,0,0],[3,2,0],[3,1],[1]] => 16
[[3,3,0,0],[3,1,0],[3,1],[1]] => 15
[[3,3,0,0],[3,2,0],[3,0],[1]] => 15
[[3,3,0,0],[3,2,0],[2,1],[1]] => 15
[[3,3,0,0],[3,1,0],[3,0],[1]] => 14
[[3,3,0,0],[3,1,0],[2,1],[1]] => 14
[[3,3,0,0],[3,0,0],[3,0],[1]] => 13
[[3,3,0,0],[3,2,0],[2,0],[1]] => 14
[[3,3,0,0],[3,1,0],[2,0],[1]] => 13
[[3,3,0,0],[3,1,0],[1,1],[1]] => 13
[[3,3,0,0],[3,0,0],[2,0],[1]] => 12
[[3,3,0,0],[3,1,0],[1,0],[1]] => 12
[[3,3,0,0],[3,0,0],[1,0],[1]] => 11
[[3,3,0,0],[3,2,0],[3,0],[0]] => 14
[[3,3,0,0],[3,1,0],[3,0],[0]] => 13
[[3,3,0,0],[3,0,0],[3,0],[0]] => 12
[[3,3,0,0],[3,2,0],[2,0],[0]] => 13
[[3,3,0,0],[3,1,0],[2,0],[0]] => 12
[[3,3,0,0],[3,0,0],[2,0],[0]] => 11
[[3,3,0,0],[3,1,0],[1,0],[0]] => 11
[[3,3,0,0],[3,0,0],[1,0],[0]] => 10
[[3,3,0,0],[3,0,0],[0,0],[0]] => 9
[[3,2,1,0],[3,2,0],[3,2],[3]] => 19
[[3,2,1,0],[3,2,0],[3,1],[3]] => 18
[[3,2,1,0],[3,1,1],[3,1],[3]] => 18
[[3,2,1,0],[3,1,0],[3,1],[3]] => 17
[[3,2,1,0],[3,2,0],[3,0],[3]] => 17
[[3,2,1,0],[3,1,0],[3,0],[3]] => 16
[[3,2,1,0],[3,2,0],[3,2],[2]] => 18
[[3,2,1,0],[3,2,0],[3,1],[2]] => 17
[[3,2,1,0],[3,1,1],[3,1],[2]] => 17
[[3,2,1,0],[3,2,0],[2,2],[2]] => 17
[[3,2,1,0],[2,2,1],[2,2],[2]] => 17
[[3,2,1,0],[3,1,0],[3,1],[2]] => 16
[[3,2,1,0],[2,2,0],[2,2],[2]] => 16
[[3,2,1,0],[3,2,0],[3,0],[2]] => 16
[[3,2,1,0],[3,2,0],[2,1],[2]] => 16
[[3,2,1,0],[3,1,1],[2,1],[2]] => 16
[[3,2,1,0],[2,2,1],[2,1],[2]] => 16
[[3,2,1,0],[3,1,0],[3,0],[2]] => 15
[[3,2,1,0],[3,1,0],[2,1],[2]] => 15
[[3,2,1,0],[2,2,0],[2,1],[2]] => 15
[[3,2,1,0],[2,1,1],[2,1],[2]] => 15
[[3,2,1,0],[2,1,0],[2,1],[2]] => 14
[[3,2,1,0],[3,2,0],[2,0],[2]] => 15
[[3,2,1,0],[3,1,0],[2,0],[2]] => 14
[[3,2,1,0],[2,2,0],[2,0],[2]] => 14
[[3,2,1,0],[2,1,0],[2,0],[2]] => 13
[[3,2,1,0],[3,2,0],[3,1],[1]] => 16
[[3,2,1,0],[3,1,1],[3,1],[1]] => 16
[[3,2,1,0],[3,1,0],[3,1],[1]] => 15
[[3,2,1,0],[3,2,0],[3,0],[1]] => 15
[[3,2,1,0],[3,2,0],[2,1],[1]] => 15
[[3,2,1,0],[3,1,1],[2,1],[1]] => 15
[[3,2,1,0],[2,2,1],[2,1],[1]] => 15
[[3,2,1,0],[3,1,0],[3,0],[1]] => 14
[[3,2,1,0],[3,1,0],[2,1],[1]] => 14
[[3,2,1,0],[2,2,0],[2,1],[1]] => 14
[[3,2,1,0],[2,1,1],[2,1],[1]] => 14
[[3,2,1,0],[2,1,0],[2,1],[1]] => 13
[[3,2,1,0],[3,2,0],[2,0],[1]] => 14
[[3,2,1,0],[3,1,1],[1,1],[1]] => 14
[[3,2,1,0],[3,1,0],[2,0],[1]] => 13
[[3,2,1,0],[2,2,0],[2,0],[1]] => 13
[[3,2,1,0],[3,1,0],[1,1],[1]] => 13
[[3,2,1,0],[2,1,1],[1,1],[1]] => 13
[[3,2,1,0],[2,1,0],[2,0],[1]] => 12
[[3,2,1,0],[2,1,0],[1,1],[1]] => 12
[[3,2,1,0],[3,1,0],[1,0],[1]] => 12
[[3,2,1,0],[2,1,0],[1,0],[1]] => 11
[[3,2,1,0],[3,2,0],[3,0],[0]] => 14
[[3,2,1,0],[3,1,0],[3,0],[0]] => 13
[[3,2,1,0],[3,2,0],[2,0],[0]] => 13
[[3,2,1,0],[3,1,0],[2,0],[0]] => 12
[[3,2,1,0],[2,2,0],[2,0],[0]] => 12
[[3,2,1,0],[2,1,0],[2,0],[0]] => 11
[[3,2,1,0],[3,1,0],[1,0],[0]] => 11
[[3,2,1,0],[2,1,0],[1,0],[0]] => 10
[[3,1,1,1],[3,1,1],[3,1],[3]] => 18
[[3,1,1,1],[3,1,1],[3,1],[2]] => 17
[[3,1,1,1],[3,1,1],[2,1],[2]] => 16
[[3,1,1,1],[2,1,1],[2,1],[2]] => 15
[[3,1,1,1],[3,1,1],[3,1],[1]] => 16
[[3,1,1,1],[3,1,1],[2,1],[1]] => 15
[[3,1,1,1],[2,1,1],[2,1],[1]] => 14
[[3,1,1,1],[3,1,1],[1,1],[1]] => 14
[[3,1,1,1],[2,1,1],[1,1],[1]] => 13
[[3,1,1,1],[1,1,1],[1,1],[1]] => 12
[[2,2,2,0],[2,2,1],[2,2],[2]] => 17
[[2,2,2,0],[2,2,0],[2,2],[2]] => 16
[[2,2,2,0],[2,2,1],[2,1],[2]] => 16
[[2,2,2,0],[2,2,0],[2,1],[2]] => 15
[[2,2,2,0],[2,2,0],[2,0],[2]] => 14
[[2,2,2,0],[2,2,1],[2,1],[1]] => 15
[[2,2,2,0],[2,2,0],[2,1],[1]] => 14
[[2,2,2,0],[2,2,0],[2,0],[1]] => 13
[[2,2,2,0],[2,2,0],[2,0],[0]] => 12
[[2,2,1,1],[2,2,1],[2,2],[2]] => 17
[[2,2,1,1],[2,2,1],[2,1],[2]] => 16
[[2,2,1,1],[2,1,1],[2,1],[2]] => 15
[[2,2,1,1],[2,2,1],[2,1],[1]] => 15
[[2,2,1,1],[2,1,1],[2,1],[1]] => 14
[[2,2,1,1],[2,1,1],[1,1],[1]] => 13
[[4,3,2,1],[4,3,2],[4,3],[4]] => 30
[[4,3,2,1],[4,3,2],[4,3],[3]] => 29
[[4,3,2,1],[4,3,2],[4,2],[4]] => 29
[[4,3,2,1],[4,3,2],[4,2],[3]] => 28
[[4,3,2,1],[4,3,2],[3,2],[3]] => 27
[[4,3,2,1],[4,3,2],[4,2],[2]] => 27
[[4,3,2,1],[4,3,2],[3,2],[2]] => 26
[[4,3,2,1],[4,3,1],[4,3],[4]] => 29
[[4,3,2,1],[4,3,1],[4,3],[3]] => 28
[[4,3,2,1],[4,3,1],[4,2],[4]] => 28
[[4,3,2,1],[4,3,1],[4,2],[3]] => 27
[[4,3,2,1],[4,3,1],[3,2],[3]] => 26
[[4,3,2,1],[4,3,1],[4,2],[2]] => 26
[[4,3,2,1],[4,3,1],[3,2],[2]] => 25
[[4,3,2,1],[4,2,1],[4,2],[4]] => 27
[[4,3,2,1],[4,2,1],[4,2],[3]] => 26
[[4,3,2,1],[4,2,1],[3,2],[3]] => 25
[[4,3,2,1],[3,2,1],[3,2],[3]] => 24
[[4,3,2,1],[4,2,1],[4,2],[2]] => 25
[[4,3,2,1],[4,2,1],[3,2],[2]] => 24
[[4,3,2,1],[3,2,1],[3,2],[2]] => 23
[[4,3,2,1],[4,3,1],[4,1],[4]] => 27
[[4,3,2,1],[4,3,1],[4,1],[3]] => 26
[[4,3,2,1],[4,3,1],[3,1],[3]] => 25
[[4,3,2,1],[4,3,1],[4,1],[2]] => 25
[[4,3,2,1],[4,3,1],[3,1],[2]] => 24
[[4,3,2,1],[4,2,1],[4,1],[4]] => 26
[[4,3,2,1],[4,2,1],[4,1],[3]] => 25
[[4,3,2,1],[4,2,1],[3,1],[3]] => 24
[[4,3,2,1],[3,2,1],[3,1],[3]] => 23
[[4,3,2,1],[4,2,1],[4,1],[2]] => 24
[[4,3,2,1],[4,2,1],[3,1],[2]] => 23
[[4,3,2,1],[3,2,1],[3,1],[2]] => 22
[[4,3,2,1],[4,2,1],[2,1],[2]] => 22
[[4,3,2,1],[3,2,1],[2,1],[2]] => 21
[[4,3,2,1],[4,3,1],[4,1],[1]] => 24
[[4,3,2,1],[4,3,1],[3,1],[1]] => 23
[[4,3,2,1],[4,2,1],[4,1],[1]] => 23
[[4,3,2,1],[4,2,1],[3,1],[1]] => 22
[[4,3,2,1],[3,2,1],[3,1],[1]] => 21
[[4,3,2,1],[4,2,1],[2,1],[1]] => 21
[[4,3,2,1],[3,2,1],[2,1],[1]] => 20
[[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 1
[[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 3
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 4
[[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 5
[[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 5
[[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 6
[[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 4
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 5
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 6
[[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 7
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 6
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 7
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 8
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 8
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 9
[[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 10
[[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 5
[[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 6
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 5
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 6
[[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 7
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 7
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 8
[[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 9
[[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 6
[[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 7
[[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 5
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 6
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 7
[[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 8
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 7
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 8
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 9
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 9
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 10
[[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 11
[[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]] => 9
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]] => 10
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]] => 11
[[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]] => 12
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]] => 11
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]] => 12
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]] => 13
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]] => 13
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]] => 14
[[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]] => 15
[[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 6
[[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 7
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 6
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 7
[[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 8
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 8
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 9
[[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 10
[[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]] => 5
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]] => 6
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]] => 7
[[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 8
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]] => 7
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]] => 8
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 9
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]] => 9
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 10
[[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 11
[[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]] => 9
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]] => 10
[[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]] => 11
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]] => 10
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]] => 11
[[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]] => 12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]] => 11
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]] => 12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]] => 12
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]] => 13
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]] => 13
[[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]] => 14
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]] => 6
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]] => 7
[[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 8
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]] => 8
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 9
[[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 10
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]] => 10
[[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]] => 11
[[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]] => 12
[[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 15
[[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 15
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 15
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 15
[[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 15
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 15
[[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 15
[[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 15
[[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 15
[[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 15
[[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 1
[[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 3
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 4
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 5
[[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 6
[[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 2
[[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 6
[[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 7
[[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 8
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]] => 9
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]] => 10
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]] => 11
[[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]] => 12
[[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]] => 3
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]] => 4
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]] => 5
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]] => 6
[[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 7
[[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]] => 8
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]] => 9
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]] => 10
[[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]] => 11
[[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 21
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 21
[[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 21
[[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 21
[[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 21
[[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 21
[[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 21
[[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 28
[[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 28
[[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 28
[[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 28
[[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 28
[[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 28
[[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 28
[[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 28
[[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 28
[[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 28
[[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 28
[[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 28
[[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 28
[[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 28
[[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 28
[[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 28
[[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 28
[[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 28
[[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 36
[[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 36
[[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 36
[[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 36
[[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 36
[[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 36
[[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 36
[[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 36
[[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 36
[[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 36
[[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 36
[[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 36
[[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 36
[[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 45
[[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 45
[[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 45
[[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 45
[[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 45
[[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 45
[[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 45
[[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 45
[[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 45
[[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 45
[[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 45
[[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 45
[[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 45
[[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 45
[[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 45
[[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 45
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]] => 55
[[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 55
[[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 55
[[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 55
[[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 55
[[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 55
[[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 55
[[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 55
[[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]] => 55
[[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]] => 55
[[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]] => 55
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]] => 78
[[0,0],[0]] => 0
[[0,0,0],[0,0],[0]] => 0
[[3,3,2],[3,2],[2]] => 15
[[3,3,2],[3,2],[3]] => 16
[[3,3,2],[3,3],[3]] => 17
[[3,3,3],[3,3],[3]] => 18
[[0,0,0,0],[0,0,0],[0,0],[0]] => 0
[[2,2,2,0],[2,2,2],[2,2],[2]] => 18
[[2,2,2,1],[2,2,1],[2,1],[1]] => 16
[[2,2,2,1],[2,2,1],[2,1],[2]] => 17
[[2,2,2,1],[2,2,1],[2,2],[2]] => 18
[[2,2,2,1],[2,2,2],[2,2],[2]] => 19
[[2,2,2,2],[2,2,2],[2,2],[2]] => 20
[[3,2,1,0],[3,2,1],[2,1],[1]] => 16
[[3,2,1,0],[3,2,1],[2,1],[2]] => 17
[[3,2,1,0],[3,2,1],[2,2],[2]] => 18
[[3,2,1,0],[3,2,1],[3,1],[1]] => 17
[[3,2,1,0],[3,2,1],[3,1],[2]] => 18
[[3,2,1,0],[3,2,1],[3,1],[3]] => 19
[[3,2,1,0],[3,2,1],[3,2],[2]] => 19
[[3,2,1,0],[3,2,1],[3,2],[3]] => 20
[[3,2,1,1],[2,1,1],[1,1],[1]] => 14
[[3,2,1,1],[2,1,1],[2,1],[1]] => 15
[[3,2,1,1],[2,1,1],[2,1],[2]] => 16
[[3,2,1,1],[2,2,1],[2,1],[1]] => 16
[[3,2,1,1],[2,2,1],[2,1],[2]] => 17
[[3,2,1,1],[2,2,1],[2,2],[2]] => 18
[[3,2,1,1],[3,1,1],[1,1],[1]] => 15
[[3,2,1,1],[3,1,1],[2,1],[1]] => 16
[[3,2,1,1],[3,1,1],[2,1],[2]] => 17
[[3,2,1,1],[3,1,1],[3,1],[1]] => 17
[[3,2,1,1],[3,1,1],[3,1],[2]] => 18
[[3,2,1,1],[3,1,1],[3,1],[3]] => 19
[[3,2,1,1],[3,2,1],[2,1],[1]] => 17
[[3,2,1,1],[3,2,1],[2,1],[2]] => 18
[[3,2,1,1],[3,2,1],[2,2],[2]] => 19
[[3,2,1,1],[3,2,1],[3,1],[1]] => 18
[[3,2,1,1],[3,2,1],[3,1],[2]] => 19
[[3,2,1,1],[3,2,1],[3,1],[3]] => 20
[[3,2,1,1],[3,2,1],[3,2],[2]] => 20
[[3,2,1,1],[3,2,1],[3,2],[3]] => 21
[[3,2,2,0],[2,2,0],[2,0],[0]] => 13
[[3,2,2,0],[2,2,0],[2,0],[1]] => 14
[[3,2,2,0],[2,2,0],[2,0],[2]] => 15
[[3,2,2,0],[2,2,0],[2,1],[1]] => 15
[[3,2,2,0],[2,2,0],[2,1],[2]] => 16
[[3,2,2,0],[2,2,0],[2,2],[2]] => 17
[[3,2,2,0],[2,2,1],[2,1],[1]] => 16
[[3,2,2,0],[2,2,1],[2,1],[2]] => 17
[[3,2,2,0],[2,2,1],[2,2],[2]] => 18
[[3,2,2,0],[2,2,2],[2,2],[2]] => 19
[[3,2,2,0],[3,2,0],[2,0],[0]] => 14
[[3,2,2,0],[3,2,0],[2,0],[1]] => 15
[[3,2,2,0],[3,2,0],[2,0],[2]] => 16
[[3,2,2,0],[3,2,0],[2,1],[1]] => 16
[[3,2,2,0],[3,2,0],[2,1],[2]] => 17
[[3,2,2,0],[3,2,0],[2,2],[2]] => 18
[[3,2,2,0],[3,2,0],[3,0],[0]] => 15
[[3,2,2,0],[3,2,0],[3,0],[1]] => 16
[[3,2,2,0],[3,2,0],[3,0],[2]] => 17
[[3,2,2,0],[3,2,0],[3,0],[3]] => 18
[[3,2,2,0],[3,2,0],[3,1],[1]] => 17
[[3,2,2,0],[3,2,0],[3,1],[2]] => 18
[[3,2,2,0],[3,2,0],[3,1],[3]] => 19
[[3,2,2,0],[3,2,0],[3,2],[2]] => 19
[[3,2,2,0],[3,2,0],[3,2],[3]] => 20
[[3,2,2,0],[3,2,1],[2,1],[1]] => 17
[[3,2,2,0],[3,2,1],[2,1],[2]] => 18
[[3,2,2,0],[3,2,1],[2,2],[2]] => 19
[[3,2,2,0],[3,2,1],[3,1],[1]] => 18
[[3,2,2,0],[3,2,1],[3,1],[2]] => 19
[[3,2,2,0],[3,2,1],[3,1],[3]] => 20
[[3,2,2,0],[3,2,1],[3,2],[2]] => 20
[[3,2,2,0],[3,2,1],[3,2],[3]] => 21
[[3,2,2,0],[3,2,2],[2,2],[2]] => 20
[[3,2,2,0],[3,2,2],[3,2],[2]] => 21
[[3,2,2,0],[3,2,2],[3,2],[3]] => 22
[[3,2,2,1],[2,2,1],[2,1],[1]] => 17
[[3,2,2,1],[2,2,1],[2,1],[2]] => 18
[[3,2,2,1],[2,2,1],[2,2],[2]] => 19
[[3,2,2,1],[2,2,2],[2,2],[2]] => 20
[[3,2,2,1],[3,2,1],[2,1],[1]] => 18
[[3,2,2,1],[3,2,1],[2,1],[2]] => 19
[[3,2,2,1],[3,2,1],[2,2],[2]] => 20
[[3,2,2,1],[3,2,1],[3,1],[1]] => 19
[[3,2,2,1],[3,2,1],[3,1],[2]] => 20
[[3,2,2,1],[3,2,1],[3,1],[3]] => 21
[[3,2,2,1],[3,2,1],[3,2],[2]] => 21
[[3,2,2,1],[3,2,1],[3,2],[3]] => 22
[[3,2,2,1],[3,2,2],[2,2],[2]] => 21
[[3,2,2,1],[3,2,2],[3,2],[2]] => 22
[[3,2,2,1],[3,2,2],[3,2],[3]] => 23
[[3,2,2,2],[2,2,2],[2,2],[2]] => 21
[[3,2,2,2],[3,2,2],[2,2],[2]] => 22
[[3,2,2,2],[3,2,2],[3,2],[2]] => 23
[[3,2,2,2],[3,2,2],[3,2],[3]] => 24
[[3,3,0,0],[3,3,0],[3,0],[0]] => 15
[[3,3,0,0],[3,3,0],[3,0],[1]] => 16
[[3,3,0,0],[3,3,0],[3,0],[2]] => 17
[[3,3,0,0],[3,3,0],[3,0],[3]] => 18
[[3,3,0,0],[3,3,0],[3,1],[1]] => 17
[[3,3,0,0],[3,3,0],[3,1],[2]] => 18
[[3,3,0,0],[3,3,0],[3,1],[3]] => 19
[[3,3,0,0],[3,3,0],[3,2],[2]] => 19
[[3,3,0,0],[3,3,0],[3,2],[3]] => 20
[[3,3,0,0],[3,3,0],[3,3],[3]] => 21
[[3,3,1,0],[3,1,0],[1,0],[0]] => 12
[[3,3,1,0],[3,1,0],[1,0],[1]] => 13
[[3,3,1,0],[3,1,0],[1,1],[1]] => 14
[[3,3,1,0],[3,1,0],[2,0],[0]] => 13
[[3,3,1,0],[3,1,0],[2,0],[1]] => 14
[[3,3,1,0],[3,1,0],[2,0],[2]] => 15
[[3,3,1,0],[3,1,0],[2,1],[1]] => 15
[[3,3,1,0],[3,1,0],[2,1],[2]] => 16
[[3,3,1,0],[3,1,0],[3,0],[0]] => 14
[[3,3,1,0],[3,1,0],[3,0],[1]] => 15
[[3,3,1,0],[3,1,0],[3,0],[2]] => 16
[[3,3,1,0],[3,1,0],[3,0],[3]] => 17
[[3,3,1,0],[3,1,0],[3,1],[1]] => 16
[[3,3,1,0],[3,1,0],[3,1],[2]] => 17
[[3,3,1,0],[3,1,0],[3,1],[3]] => 18
[[3,3,1,0],[3,1,1],[1,1],[1]] => 15
[[3,3,1,0],[3,1,1],[2,1],[1]] => 16
[[3,3,1,0],[3,1,1],[2,1],[2]] => 17
[[3,3,1,0],[3,1,1],[3,1],[1]] => 17
[[3,3,1,0],[3,1,1],[3,1],[2]] => 18
[[3,3,1,0],[3,1,1],[3,1],[3]] => 19
[[3,3,1,0],[3,2,0],[2,0],[0]] => 14
[[3,3,1,0],[3,2,0],[2,0],[1]] => 15
[[3,3,1,0],[3,2,0],[2,0],[2]] => 16
[[3,3,1,0],[3,2,0],[2,1],[1]] => 16
[[3,3,1,0],[3,2,0],[2,1],[2]] => 17
[[3,3,1,0],[3,2,0],[2,2],[2]] => 18
[[3,3,1,0],[3,2,0],[3,0],[0]] => 15
[[3,3,1,0],[3,2,0],[3,0],[1]] => 16
[[3,3,1,0],[3,2,0],[3,0],[2]] => 17
[[3,3,1,0],[3,2,0],[3,0],[3]] => 18
[[3,3,1,0],[3,2,0],[3,1],[1]] => 17
[[3,3,1,0],[3,2,0],[3,1],[2]] => 18
[[3,3,1,0],[3,2,0],[3,1],[3]] => 19
[[3,3,1,0],[3,2,0],[3,2],[2]] => 19
[[3,3,1,0],[3,2,0],[3,2],[3]] => 20
[[3,3,1,0],[3,2,1],[2,1],[1]] => 17
[[3,3,1,0],[3,2,1],[2,1],[2]] => 18
[[3,3,1,0],[3,2,1],[2,2],[2]] => 19
[[3,3,1,0],[3,2,1],[3,1],[1]] => 18
[[3,3,1,0],[3,2,1],[3,1],[2]] => 19
[[3,3,1,0],[3,2,1],[3,1],[3]] => 20
[[3,3,1,0],[3,2,1],[3,2],[2]] => 20
[[3,3,1,0],[3,2,1],[3,2],[3]] => 21
[[3,3,1,0],[3,3,0],[3,0],[0]] => 16
[[3,3,1,0],[3,3,0],[3,0],[1]] => 17
[[3,3,1,0],[3,3,0],[3,0],[2]] => 18
[[3,3,1,0],[3,3,0],[3,0],[3]] => 19
[[3,3,1,0],[3,3,0],[3,1],[1]] => 18
[[3,3,1,0],[3,3,0],[3,1],[2]] => 19
[[3,3,1,0],[3,3,0],[3,1],[3]] => 20
[[3,3,1,0],[3,3,0],[3,2],[2]] => 20
[[3,3,1,0],[3,3,0],[3,2],[3]] => 21
[[3,3,1,0],[3,3,0],[3,3],[3]] => 22
[[3,3,1,0],[3,3,1],[3,1],[1]] => 19
[[3,3,1,0],[3,3,1],[3,1],[2]] => 20
[[3,3,1,0],[3,3,1],[3,1],[3]] => 21
[[3,3,1,0],[3,3,1],[3,2],[2]] => 21
[[3,3,1,0],[3,3,1],[3,2],[3]] => 22
[[3,3,1,0],[3,3,1],[3,3],[3]] => 23
[[3,3,1,1],[3,1,1],[1,1],[1]] => 16
[[3,3,1,1],[3,1,1],[2,1],[1]] => 17
[[3,3,1,1],[3,1,1],[2,1],[2]] => 18
[[3,3,1,1],[3,1,1],[3,1],[1]] => 18
[[3,3,1,1],[3,1,1],[3,1],[2]] => 19
[[3,3,1,1],[3,1,1],[3,1],[3]] => 20
[[3,3,1,1],[3,2,1],[2,1],[1]] => 18
[[3,3,1,1],[3,2,1],[2,1],[2]] => 19
[[3,3,1,1],[3,2,1],[2,2],[2]] => 20
[[3,3,1,1],[3,2,1],[3,1],[1]] => 19
[[3,3,1,1],[3,2,1],[3,1],[2]] => 20
[[3,3,1,1],[3,2,1],[3,1],[3]] => 21
[[3,3,1,1],[3,2,1],[3,2],[2]] => 21
[[3,3,1,1],[3,2,1],[3,2],[3]] => 22
[[3,3,1,1],[3,3,1],[3,1],[1]] => 20
[[3,3,1,1],[3,3,1],[3,1],[2]] => 21
[[3,3,1,1],[3,3,1],[3,1],[3]] => 22
[[3,3,1,1],[3,3,1],[3,2],[2]] => 22
[[3,3,1,1],[3,3,1],[3,2],[3]] => 23
[[3,3,1,1],[3,3,1],[3,3],[3]] => 24
[[3,3,2,0],[3,2,0],[2,0],[0]] => 15
[[3,3,2,0],[3,2,0],[2,0],[1]] => 16
[[3,3,2,0],[3,2,0],[2,0],[2]] => 17
[[3,3,2,0],[3,2,0],[2,1],[1]] => 17
[[3,3,2,0],[3,2,0],[2,1],[2]] => 18
[[3,3,2,0],[3,2,0],[2,2],[2]] => 19
[[3,3,2,0],[3,2,0],[3,0],[0]] => 16
[[3,3,2,0],[3,2,0],[3,0],[1]] => 17
[[3,3,2,0],[3,2,0],[3,0],[2]] => 18
[[3,3,2,0],[3,2,0],[3,0],[3]] => 19
[[3,3,2,0],[3,2,0],[3,1],[1]] => 18
[[3,3,2,0],[3,2,0],[3,1],[2]] => 19
[[3,3,2,0],[3,2,0],[3,1],[3]] => 20
[[3,3,2,0],[3,2,0],[3,2],[2]] => 20
[[3,3,2,0],[3,2,0],[3,2],[3]] => 21
[[3,3,2,0],[3,2,1],[2,1],[1]] => 18
[[3,3,2,0],[3,2,1],[2,1],[2]] => 19
[[3,3,2,0],[3,2,1],[2,2],[2]] => 20
[[3,3,2,0],[3,2,1],[3,1],[1]] => 19
[[3,3,2,0],[3,2,1],[3,1],[2]] => 20
[[3,3,2,0],[3,2,1],[3,1],[3]] => 21
[[3,3,2,0],[3,2,1],[3,2],[2]] => 21
[[3,3,2,0],[3,2,1],[3,2],[3]] => 22
[[3,3,2,0],[3,2,2],[2,2],[2]] => 21
[[3,3,2,0],[3,2,2],[3,2],[2]] => 22
[[3,3,2,0],[3,2,2],[3,2],[3]] => 23
[[3,3,2,0],[3,3,0],[3,0],[0]] => 17
[[3,3,2,0],[3,3,0],[3,0],[1]] => 18
[[3,3,2,0],[3,3,0],[3,0],[2]] => 19
[[3,3,2,0],[3,3,0],[3,0],[3]] => 20
[[3,3,2,0],[3,3,0],[3,1],[1]] => 19
[[3,3,2,0],[3,3,0],[3,1],[2]] => 20
[[3,3,2,0],[3,3,0],[3,1],[3]] => 21
[[3,3,2,0],[3,3,0],[3,2],[2]] => 21
[[3,3,2,0],[3,3,0],[3,2],[3]] => 22
[[3,3,2,0],[3,3,0],[3,3],[3]] => 23
[[3,3,2,0],[3,3,1],[3,1],[1]] => 20
[[3,3,2,0],[3,3,1],[3,1],[2]] => 21
[[3,3,2,0],[3,3,1],[3,1],[3]] => 22
[[3,3,2,0],[3,3,1],[3,2],[2]] => 22
[[3,3,2,0],[3,3,1],[3,2],[3]] => 23
[[3,3,2,0],[3,3,1],[3,3],[3]] => 24
[[3,3,2,0],[3,3,2],[3,2],[2]] => 23
[[3,3,2,0],[3,3,2],[3,2],[3]] => 24
[[3,3,2,0],[3,3,2],[3,3],[3]] => 25
[[3,3,2,1],[3,2,1],[2,1],[1]] => 19
[[3,3,2,1],[3,2,1],[2,1],[2]] => 20
[[3,3,2,1],[3,2,1],[2,2],[2]] => 21
[[3,3,2,1],[3,2,1],[3,1],[1]] => 20
[[3,3,2,1],[3,2,1],[3,1],[2]] => 21
[[3,3,2,1],[3,2,1],[3,1],[3]] => 22
[[3,3,2,1],[3,2,1],[3,2],[2]] => 22
[[3,3,2,1],[3,2,1],[3,2],[3]] => 23
[[3,3,2,1],[3,2,2],[2,2],[2]] => 22
[[3,3,2,1],[3,2,2],[3,2],[2]] => 23
[[3,3,2,1],[3,2,2],[3,2],[3]] => 24
[[3,3,2,1],[3,3,1],[3,1],[1]] => 21
[[3,3,2,1],[3,3,1],[3,1],[2]] => 22
[[3,3,2,1],[3,3,1],[3,1],[3]] => 23
[[3,3,2,1],[3,3,1],[3,2],[2]] => 23
[[3,3,2,1],[3,3,1],[3,2],[3]] => 24
[[3,3,2,1],[3,3,1],[3,3],[3]] => 25
[[3,3,2,1],[3,3,2],[3,2],[2]] => 24
[[3,3,2,1],[3,3,2],[3,2],[3]] => 25
[[3,3,2,1],[3,3,2],[3,3],[3]] => 26
[[3,3,2,2],[3,2,2],[2,2],[2]] => 23
[[3,3,2,2],[3,2,2],[3,2],[2]] => 24
[[3,3,2,2],[3,2,2],[3,2],[3]] => 25
[[3,3,2,2],[3,3,2],[3,2],[2]] => 25
[[3,3,2,2],[3,3,2],[3,2],[3]] => 26
[[3,3,2,2],[3,3,2],[3,3],[3]] => 27
[[3,3,3,0],[3,3,0],[3,0],[0]] => 18
[[3,3,3,0],[3,3,0],[3,0],[1]] => 19
[[3,3,3,0],[3,3,0],[3,0],[2]] => 20
[[3,3,3,0],[3,3,0],[3,0],[3]] => 21
[[3,3,3,0],[3,3,0],[3,1],[1]] => 20
[[3,3,3,0],[3,3,0],[3,1],[2]] => 21
[[3,3,3,0],[3,3,0],[3,1],[3]] => 22
[[3,3,3,0],[3,3,0],[3,2],[2]] => 22
[[3,3,3,0],[3,3,0],[3,2],[3]] => 23
[[3,3,3,0],[3,3,0],[3,3],[3]] => 24
[[3,3,3,0],[3,3,1],[3,1],[1]] => 21
[[3,3,3,0],[3,3,1],[3,1],[2]] => 22
[[3,3,3,0],[3,3,1],[3,1],[3]] => 23
[[3,3,3,0],[3,3,1],[3,2],[2]] => 23
[[3,3,3,0],[3,3,1],[3,2],[3]] => 24
[[3,3,3,0],[3,3,1],[3,3],[3]] => 25
[[3,3,3,0],[3,3,2],[3,2],[2]] => 24
[[3,3,3,0],[3,3,2],[3,2],[3]] => 25
[[3,3,3,0],[3,3,2],[3,3],[3]] => 26
[[3,3,3,0],[3,3,3],[3,3],[3]] => 27
[[3,3,3,1],[3,3,1],[3,1],[1]] => 22
[[3,3,3,1],[3,3,1],[3,1],[2]] => 23
[[3,3,3,1],[3,3,1],[3,1],[3]] => 24
[[3,3,3,1],[3,3,1],[3,2],[2]] => 24
[[3,3,3,1],[3,3,1],[3,2],[3]] => 25
[[3,3,3,1],[3,3,1],[3,3],[3]] => 26
[[3,3,3,1],[3,3,2],[3,2],[2]] => 25
[[3,3,3,1],[3,3,2],[3,2],[3]] => 26
[[3,3,3,1],[3,3,2],[3,3],[3]] => 27
[[3,3,3,1],[3,3,3],[3,3],[3]] => 28
[[3,3,3,2],[3,3,2],[3,2],[2]] => 26
[[3,3,3,2],[3,3,2],[3,2],[3]] => 27
[[3,3,3,2],[3,3,2],[3,3],[3]] => 28
[[3,3,3,2],[3,3,3],[3,3],[3]] => 29
[[3,3,3,3],[3,3,3],[3,3],[3]] => 30
[[4,1,1,0],[4,1,1],[1,1],[1]] => 15
[[4,1,1,0],[4,1,1],[2,1],[1]] => 16
[[4,1,1,0],[4,1,1],[2,1],[2]] => 17
[[4,1,1,0],[4,1,1],[3,1],[1]] => 17
[[4,1,1,0],[4,1,1],[3,1],[2]] => 18
[[4,1,1,0],[4,1,1],[3,1],[3]] => 19
[[4,1,1,0],[4,1,1],[4,1],[1]] => 18
[[4,1,1,0],[4,1,1],[4,1],[2]] => 19
[[4,1,1,0],[4,1,1],[4,1],[3]] => 20
[[4,1,1,0],[4,1,1],[4,1],[4]] => 21
[[4,1,1,1],[1,1,1],[1,1],[1]] => 13
[[4,1,1,1],[2,1,1],[1,1],[1]] => 14
[[4,1,1,1],[2,1,1],[2,1],[1]] => 15
[[4,1,1,1],[2,1,1],[2,1],[2]] => 16
[[4,1,1,1],[3,1,1],[1,1],[1]] => 15
[[4,1,1,1],[3,1,1],[2,1],[1]] => 16
[[4,1,1,1],[3,1,1],[2,1],[2]] => 17
[[4,1,1,1],[3,1,1],[3,1],[1]] => 17
[[4,1,1,1],[3,1,1],[3,1],[2]] => 18
[[4,1,1,1],[3,1,1],[3,1],[3]] => 19
[[4,1,1,1],[4,1,1],[1,1],[1]] => 16
[[4,1,1,1],[4,1,1],[2,1],[1]] => 17
[[4,1,1,1],[4,1,1],[2,1],[2]] => 18
[[4,1,1,1],[4,1,1],[3,1],[1]] => 18
[[4,1,1,1],[4,1,1],[3,1],[2]] => 19
[[4,1,1,1],[4,1,1],[3,1],[3]] => 20
[[4,1,1,1],[4,1,1],[4,1],[1]] => 19
[[4,1,1,1],[4,1,1],[4,1],[2]] => 20
[[4,1,1,1],[4,1,1],[4,1],[3]] => 21
[[4,1,1,1],[4,1,1],[4,1],[4]] => 22
[[4,2,0,0],[4,2,0],[2,0],[0]] => 14
[[4,2,0,0],[4,2,0],[2,0],[1]] => 15
[[4,2,0,0],[4,2,0],[2,0],[2]] => 16
[[4,2,0,0],[4,2,0],[2,1],[1]] => 16
[[4,2,0,0],[4,2,0],[2,1],[2]] => 17
[[4,2,0,0],[4,2,0],[2,2],[2]] => 18
[[4,2,0,0],[4,2,0],[3,0],[0]] => 15
[[4,2,0,0],[4,2,0],[3,0],[1]] => 16
[[4,2,0,0],[4,2,0],[3,0],[2]] => 17
[[4,2,0,0],[4,2,0],[3,0],[3]] => 18
[[4,2,0,0],[4,2,0],[3,1],[1]] => 17
[[4,2,0,0],[4,2,0],[3,1],[2]] => 18
[[4,2,0,0],[4,2,0],[3,1],[3]] => 19
[[4,2,0,0],[4,2,0],[3,2],[2]] => 19
[[4,2,0,0],[4,2,0],[3,2],[3]] => 20
[[4,2,0,0],[4,2,0],[4,0],[0]] => 16
[[4,2,0,0],[4,2,0],[4,0],[1]] => 17
[[4,2,0,0],[4,2,0],[4,0],[2]] => 18
[[4,2,0,0],[4,2,0],[4,0],[3]] => 19
[[4,2,0,0],[4,2,0],[4,0],[4]] => 20
[[4,2,0,0],[4,2,0],[4,1],[1]] => 18
[[4,2,0,0],[4,2,0],[4,1],[2]] => 19
[[4,2,0,0],[4,2,0],[4,1],[3]] => 20
[[4,2,0,0],[4,2,0],[4,1],[4]] => 21
[[4,2,0,0],[4,2,0],[4,2],[2]] => 20
[[4,2,0,0],[4,2,0],[4,2],[3]] => 21
[[4,2,0,0],[4,2,0],[4,2],[4]] => 22
[[4,2,1,0],[2,1,0],[1,0],[0]] => 11
[[4,2,1,0],[2,1,0],[1,0],[1]] => 12
[[4,2,1,0],[2,1,0],[1,1],[1]] => 13
[[4,2,1,0],[2,1,0],[2,0],[0]] => 12
[[4,2,1,0],[2,1,0],[2,0],[1]] => 13
[[4,2,1,0],[2,1,0],[2,0],[2]] => 14
[[4,2,1,0],[2,1,0],[2,1],[1]] => 14
[[4,2,1,0],[2,1,0],[2,1],[2]] => 15
[[4,2,1,0],[2,1,1],[1,1],[1]] => 14
[[4,2,1,0],[2,1,1],[2,1],[1]] => 15
[[4,2,1,0],[2,1,1],[2,1],[2]] => 16
[[4,2,1,0],[2,2,0],[2,0],[0]] => 13
[[4,2,1,0],[2,2,0],[2,0],[1]] => 14
[[4,2,1,0],[2,2,0],[2,0],[2]] => 15
[[4,2,1,0],[2,2,0],[2,1],[1]] => 15
[[4,2,1,0],[2,2,0],[2,1],[2]] => 16
[[4,2,1,0],[2,2,0],[2,2],[2]] => 17
[[4,2,1,0],[2,2,1],[2,1],[1]] => 16
[[4,2,1,0],[2,2,1],[2,1],[2]] => 17
[[4,2,1,0],[2,2,1],[2,2],[2]] => 18
[[4,2,1,0],[3,1,0],[1,0],[0]] => 12
[[4,2,1,0],[3,1,0],[1,0],[1]] => 13
[[4,2,1,0],[3,1,0],[1,1],[1]] => 14
[[4,2,1,0],[3,1,0],[2,0],[0]] => 13
[[4,2,1,0],[3,1,0],[2,0],[1]] => 14
[[4,2,1,0],[3,1,0],[2,0],[2]] => 15
[[4,2,1,0],[3,1,0],[2,1],[1]] => 15
[[4,2,1,0],[3,1,0],[2,1],[2]] => 16
[[4,2,1,0],[3,1,0],[3,0],[0]] => 14
[[4,2,1,0],[3,1,0],[3,0],[1]] => 15
[[4,2,1,0],[3,1,0],[3,0],[2]] => 16
[[4,2,1,0],[3,1,0],[3,0],[3]] => 17
[[4,2,1,0],[3,1,0],[3,1],[1]] => 16
[[4,2,1,0],[3,1,0],[3,1],[2]] => 17
[[4,2,1,0],[3,1,0],[3,1],[3]] => 18
[[4,2,1,0],[3,1,1],[1,1],[1]] => 15
[[4,2,1,0],[3,1,1],[2,1],[1]] => 16
[[4,2,1,0],[3,1,1],[2,1],[2]] => 17
[[4,2,1,0],[3,1,1],[3,1],[1]] => 17
[[4,2,1,0],[3,1,1],[3,1],[2]] => 18
[[4,2,1,0],[3,1,1],[3,1],[3]] => 19
[[4,2,1,0],[3,2,0],[2,0],[0]] => 14
[[4,2,1,0],[3,2,0],[2,0],[1]] => 15
[[4,2,1,0],[3,2,0],[2,0],[2]] => 16
[[4,2,1,0],[3,2,0],[2,1],[1]] => 16
[[4,2,1,0],[3,2,0],[2,1],[2]] => 17
[[4,2,1,0],[3,2,0],[2,2],[2]] => 18
[[4,2,1,0],[3,2,0],[3,0],[0]] => 15
[[4,2,1,0],[3,2,0],[3,0],[1]] => 16
[[4,2,1,0],[3,2,0],[3,0],[2]] => 17
[[4,2,1,0],[3,2,0],[3,0],[3]] => 18
[[4,2,1,0],[3,2,0],[3,1],[1]] => 17
[[4,2,1,0],[3,2,0],[3,1],[2]] => 18
[[4,2,1,0],[3,2,0],[3,1],[3]] => 19
[[4,2,1,0],[3,2,0],[3,2],[2]] => 19
[[4,2,1,0],[3,2,0],[3,2],[3]] => 20
[[4,2,1,0],[3,2,1],[2,1],[1]] => 17
[[4,2,1,0],[3,2,1],[2,1],[2]] => 18
[[4,2,1,0],[3,2,1],[2,2],[2]] => 19
[[4,2,1,0],[3,2,1],[3,1],[1]] => 18
[[4,2,1,0],[3,2,1],[3,1],[2]] => 19
[[4,2,1,0],[3,2,1],[3,1],[3]] => 20
[[4,2,1,0],[3,2,1],[3,2],[2]] => 20
[[4,2,1,0],[3,2,1],[3,2],[3]] => 21
[[4,2,1,0],[4,1,0],[1,0],[0]] => 13
[[4,2,1,0],[4,1,0],[1,0],[1]] => 14
[[4,2,1,0],[4,1,0],[1,1],[1]] => 15
[[4,2,1,0],[4,1,0],[2,0],[0]] => 14
[[4,2,1,0],[4,1,0],[2,0],[1]] => 15
[[4,2,1,0],[4,1,0],[2,0],[2]] => 16
[[4,2,1,0],[4,1,0],[2,1],[1]] => 16
-----------------------------------------------------------------------------
Created: Jun 17, 2013 at 11:07 by Jessica Striker
-----------------------------------------------------------------------------
Last Updated: May 28, 2019 at 14:14 by Martin Rubey