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* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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-----------------------------------------------------------------------------
Statistic identifier: St000103
-----------------------------------------------------------------------------
Collection: Semistandard tableaux
-----------------------------------------------------------------------------
Description: The sum of the entries of a semistandard tableau.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(s):
return sum(s.entries())
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 1
[[1,1]] => 2
[[1,2]] => 3
[[2,2]] => 4
[[1],[2]] => 3
[[1,1,1]] => 3
[[1,1,2]] => 4
[[1,2,2]] => 5
[[2,2,2]] => 6
[[1,1],[2]] => 4
[[1,2],[2]] => 5
[[1,1,3]] => 5
[[1,2,3]] => 6
[[1,3,3]] => 7
[[2,2,3]] => 7
[[2,3,3]] => 8
[[3,3,3]] => 9
[[1,1],[3]] => 5
[[1,2],[3]] => 6
[[1,3],[2]] => 6
[[1,3],[3]] => 7
[[2,2],[3]] => 7
[[2,3],[3]] => 8
[[1],[2],[3]] => 6
[[1,1,1,1]] => 4
[[1,1,1,2]] => 5
[[1,1,2,2]] => 6
[[1,2,2,2]] => 7
[[2,2,2,2]] => 8
[[1,1,1],[2]] => 5
[[1,1,2],[2]] => 6
[[1,2,2],[2]] => 7
[[1,1],[2,2]] => 6
[[1,1,1,3]] => 6
[[1,1,2,3]] => 7
[[1,1,3,3]] => 8
[[1,2,2,3]] => 8
[[1,2,3,3]] => 9
[[1,3,3,3]] => 10
[[2,2,2,3]] => 9
[[2,2,3,3]] => 10
[[2,3,3,3]] => 11
[[3,3,3,3]] => 12
[[1,1,1],[3]] => 6
[[1,1,2],[3]] => 7
[[1,1,3],[2]] => 7
[[1,1,3],[3]] => 8
[[1,2,2],[3]] => 8
[[1,2,3],[2]] => 8
[[1,2,3],[3]] => 9
[[1,3,3],[2]] => 9
[[1,3,3],[3]] => 10
[[2,2,2],[3]] => 9
[[2,2,3],[3]] => 10
[[2,3,3],[3]] => 11
[[1,1],[2,3]] => 7
[[1,1],[3,3]] => 8
[[1,2],[2,3]] => 8
[[1,2],[3,3]] => 9
[[2,2],[3,3]] => 10
[[1,1],[2],[3]] => 7
[[1,2],[2],[3]] => 8
[[1,3],[2],[3]] => 9
[[1,1,1,4]] => 7
[[1,1,2,4]] => 8
[[1,1,3,4]] => 9
[[1,1,4,4]] => 10
[[1,2,2,4]] => 9
[[1,2,3,4]] => 10
[[1,2,4,4]] => 11
[[1,3,3,4]] => 11
[[1,3,4,4]] => 12
[[1,4,4,4]] => 13
[[2,2,2,4]] => 10
[[2,2,3,4]] => 11
[[2,2,4,4]] => 12
[[2,3,3,4]] => 12
[[2,3,4,4]] => 13
[[2,4,4,4]] => 14
[[3,3,3,4]] => 13
[[3,3,4,4]] => 14
[[3,4,4,4]] => 15
[[4,4,4,4]] => 16
[[1,1,1],[4]] => 7
[[1,1,2],[4]] => 8
[[1,1,4],[2]] => 8
[[1,1,3],[4]] => 9
[[1,1,4],[3]] => 9
[[1,1,4],[4]] => 10
[[1,2,2],[4]] => 9
[[1,2,4],[2]] => 9
[[1,2,3],[4]] => 10
[[1,2,4],[3]] => 10
[[1,3,4],[2]] => 10
[[1,2,4],[4]] => 11
[[1,4,4],[2]] => 11
[[1,3,3],[4]] => 11
[[1,3,4],[3]] => 11
[[1,3,4],[4]] => 12
[[1,4,4],[3]] => 12
[[1,4,4],[4]] => 13
[[2,2,2],[4]] => 10
[[2,2,3],[4]] => 11
[[2,2,4],[3]] => 11
[[2,2,4],[4]] => 12
[[2,3,3],[4]] => 12
[[2,3,4],[3]] => 12
[[2,3,4],[4]] => 13
[[2,4,4],[3]] => 13
[[2,4,4],[4]] => 14
[[3,3,3],[4]] => 13
[[3,3,4],[4]] => 14
[[3,4,4],[4]] => 15
[[1,1],[2,4]] => 8
[[1,1],[3,4]] => 9
[[1,1],[4,4]] => 10
[[1,2],[2,4]] => 9
[[1,2],[3,4]] => 10
[[1,3],[2,4]] => 10
[[1,2],[4,4]] => 11
[[1,3],[3,4]] => 11
[[1,3],[4,4]] => 12
[[2,2],[3,4]] => 11
[[2,2],[4,4]] => 12
[[2,3],[3,4]] => 12
[[2,3],[4,4]] => 13
[[3,3],[4,4]] => 14
[[1,1],[2],[4]] => 8
[[1,1],[3],[4]] => 9
[[1,2],[2],[4]] => 9
[[1,2],[3],[4]] => 10
[[1,3],[2],[4]] => 10
[[1,4],[2],[3]] => 10
[[1,4],[2],[4]] => 11
[[1,3],[3],[4]] => 11
[[1,4],[3],[4]] => 12
[[2,2],[3],[4]] => 11
[[2,3],[3],[4]] => 12
[[2,4],[3],[4]] => 13
[[1],[2],[3],[4]] => 10
[[1,1,1,1,1]] => 5
[[1,1,1,1,2]] => 6
[[1,1,1,2,2]] => 7
[[1,1,2,2,2]] => 8
[[1,2,2,2,2]] => 9
[[2,2,2,2,2]] => 10
[[1,1,1,1],[2]] => 6
[[1,1,1,2],[2]] => 7
[[1,1,2,2],[2]] => 8
[[1,2,2,2],[2]] => 9
[[1,1,1],[2,2]] => 7
[[1,1,2],[2,2]] => 8
[[1,1,1,1,3]] => 7
[[1,1,1,2,3]] => 8
[[1,1,1,3,3]] => 9
[[1,1,2,2,3]] => 9
[[1,1,2,3,3]] => 10
[[1,1,3,3,3]] => 11
[[1,2,2,2,3]] => 10
[[1,2,2,3,3]] => 11
[[1,2,3,3,3]] => 12
[[1,3,3,3,3]] => 13
[[2,2,2,2,3]] => 11
[[2,2,2,3,3]] => 12
[[2,2,3,3,3]] => 13
[[2,3,3,3,3]] => 14
[[3,3,3,3,3]] => 15
[[1,1,1,1],[3]] => 7
[[1,1,1,2],[3]] => 8
[[1,1,1,3],[2]] => 8
[[1,1,1,3],[3]] => 9
[[1,1,2,2],[3]] => 9
[[1,1,2,3],[2]] => 9
[[1,1,2,3],[3]] => 10
[[1,1,3,3],[2]] => 10
[[1,1,3,3],[3]] => 11
[[1,2,2,2],[3]] => 10
[[1,2,2,3],[2]] => 10
[[1,2,2,3],[3]] => 11
[[1,2,3,3],[2]] => 11
[[1,2,3,3],[3]] => 12
[[1,3,3,3],[2]] => 12
[[1,3,3,3],[3]] => 13
[[2,2,2,2],[3]] => 11
[[2,2,2,3],[3]] => 12
[[2,2,3,3],[3]] => 13
[[2,3,3,3],[3]] => 14
[[1,1,1],[2,3]] => 8
[[1,1,1],[3,3]] => 9
[[1,1,2],[2,3]] => 9
[[1,1,3],[2,2]] => 9
[[1,1,2],[3,3]] => 10
[[1,1,3],[2,3]] => 10
[[1,1,3],[3,3]] => 11
[[1,2,2],[2,3]] => 10
[[1,2,2],[3,3]] => 11
[[1,2,3],[2,3]] => 11
[[1,2,3],[3,3]] => 12
[[2,2,2],[3,3]] => 12
[[2,2,3],[3,3]] => 13
[[1,1,1],[2],[3]] => 8
[[1,1,2],[2],[3]] => 9
[[1,1,3],[2],[3]] => 10
[[1,2,2],[2],[3]] => 10
[[1,2,3],[2],[3]] => 11
[[1,3,3],[2],[3]] => 12
[[1,1],[2,2],[3]] => 9
[[1,1],[2,3],[3]] => 10
[[1,2],[2,3],[3]] => 11
[[1,1,1,1,4]] => 8
[[1,1,1,2,4]] => 9
[[1,1,1,3,4]] => 10
[[1,1,1,4,4]] => 11
[[1,1,2,2,4]] => 10
[[1,1,2,3,4]] => 11
[[1,1,2,4,4]] => 12
[[1,1,3,3,4]] => 12
[[1,1,3,4,4]] => 13
[[1,1,4,4,4]] => 14
[[1,2,2,2,4]] => 11
[[1,2,2,3,4]] => 12
[[1,2,2,4,4]] => 13
[[1,2,3,3,4]] => 13
[[1,2,3,4,4]] => 14
[[1,2,4,4,4]] => 15
[[1,3,3,3,4]] => 14
[[1,3,3,4,4]] => 15
[[1,3,4,4,4]] => 16
[[1,4,4,4,4]] => 17
[[2,2,2,2,4]] => 12
[[2,2,2,3,4]] => 13
[[2,2,2,4,4]] => 14
[[2,2,3,3,4]] => 14
[[2,2,3,4,4]] => 15
[[2,2,4,4,4]] => 16
[[2,3,3,3,4]] => 15
[[2,3,3,4,4]] => 16
[[2,3,4,4,4]] => 17
[[2,4,4,4,4]] => 18
[[3,3,3,3,4]] => 16
[[3,3,3,4,4]] => 17
[[3,3,4,4,4]] => 18
[[3,4,4,4,4]] => 19
[[4,4,4,4,4]] => 20
[[1,1,1,1],[4]] => 8
[[1,1,1,2],[4]] => 9
[[1,1,1,4],[2]] => 9
[[1,1,1,3],[4]] => 10
[[1,1,1,4],[3]] => 10
[[1,1,1,4],[4]] => 11
[[1,1,2,2],[4]] => 10
[[1,1,2,4],[2]] => 10
[[1,1,2,3],[4]] => 11
[[1,1,2,4],[3]] => 11
[[1,1,3,4],[2]] => 11
[[1,1,2,4],[4]] => 12
[[1,1,4,4],[2]] => 12
[[1,1,3,3],[4]] => 12
[[1,1,3,4],[3]] => 12
[[1,1,3,4],[4]] => 13
[[1,1,4,4],[3]] => 13
[[1,1,4,4],[4]] => 14
[[1,2,2,2],[4]] => 11
[[1,2,2,4],[2]] => 11
[[1,2,2,3],[4]] => 12
[[1,2,2,4],[3]] => 12
[[1,2,3,4],[2]] => 12
[[1,2,2,4],[4]] => 13
[[1,2,4,4],[2]] => 13
[[1,2,3,3],[4]] => 13
[[1,2,3,4],[3]] => 13
[[1,3,3,4],[2]] => 13
[[1,2,3,4],[4]] => 14
[[1,2,4,4],[3]] => 14
[[1,3,4,4],[2]] => 14
[[1,2,4,4],[4]] => 15
[[1,4,4,4],[2]] => 15
[[1,3,3,3],[4]] => 14
[[1,3,3,4],[3]] => 14
[[1,3,3,4],[4]] => 15
[[1,3,4,4],[3]] => 15
[[1,3,4,4],[4]] => 16
[[1,4,4,4],[3]] => 16
[[1,4,4,4],[4]] => 17
[[2,2,2,2],[4]] => 12
[[2,2,2,3],[4]] => 13
[[2,2,2,4],[3]] => 13
[[2,2,2,4],[4]] => 14
[[2,2,3,3],[4]] => 14
[[2,2,3,4],[3]] => 14
[[2,2,3,4],[4]] => 15
[[2,2,4,4],[3]] => 15
[[2,2,4,4],[4]] => 16
[[2,3,3,3],[4]] => 15
[[2,3,3,4],[3]] => 15
[[2,3,3,4],[4]] => 16
[[2,3,4,4],[3]] => 16
[[2,3,4,4],[4]] => 17
[[2,4,4,4],[3]] => 17
[[2,4,4,4],[4]] => 18
[[3,3,3,3],[4]] => 16
[[3,3,3,4],[4]] => 17
[[3,3,4,4],[4]] => 18
[[3,4,4,4],[4]] => 19
[[1,1,1],[2,4]] => 9
[[1,1,1],[3,4]] => 10
[[1,1,1],[4,4]] => 11
[[1,1,2],[2,4]] => 10
[[1,1,4],[2,2]] => 10
[[1,1,2],[3,4]] => 11
[[1,1,3],[2,4]] => 11
[[1,1,4],[2,3]] => 11
[[1,1,2],[4,4]] => 12
[[1,1,4],[2,4]] => 12
[[1,1,3],[3,4]] => 12
[[1,1,4],[3,3]] => 12
[[1,1,3],[4,4]] => 13
[[1,1,4],[3,4]] => 13
[[1,1,4],[4,4]] => 14
[[1,2,2],[2,4]] => 11
[[1,2,2],[3,4]] => 12
[[1,2,3],[2,4]] => 12
[[1,2,4],[2,3]] => 12
[[1,2,2],[4,4]] => 13
[[1,2,4],[2,4]] => 13
[[1,2,3],[3,4]] => 13
[[1,2,4],[3,3]] => 13
[[1,3,3],[2,4]] => 13
[[1,2,3],[4,4]] => 14
[[1,2,4],[3,4]] => 14
[[1,3,4],[2,4]] => 14
[[1,2,4],[4,4]] => 15
[[1,3,3],[3,4]] => 14
[[1,3,3],[4,4]] => 15
[[1,3,4],[3,4]] => 15
[[1,3,4],[4,4]] => 16
[[2,2,2],[3,4]] => 13
[[2,2,2],[4,4]] => 14
[[2,2,3],[3,4]] => 14
[[2,2,4],[3,3]] => 14
[[2,2,3],[4,4]] => 15
[[2,2,4],[3,4]] => 15
[[2,2,4],[4,4]] => 16
[[2,3,3],[3,4]] => 15
[[2,3,3],[4,4]] => 16
[[2,3,4],[3,4]] => 16
[[2,3,4],[4,4]] => 17
[[3,3,3],[4,4]] => 17
[[3,3,4],[4,4]] => 18
[[1,1,1],[2],[4]] => 9
[[1,1,1],[3],[4]] => 10
[[1,1,2],[2],[4]] => 10
[[1,1,2],[3],[4]] => 11
[[1,1,3],[2],[4]] => 11
[[1,1,4],[2],[3]] => 11
[[1,1,4],[2],[4]] => 12
[[1,1,3],[3],[4]] => 12
[[1,1,4],[3],[4]] => 13
[[1,2,2],[2],[4]] => 11
[[1,2,2],[3],[4]] => 12
[[1,2,3],[2],[4]] => 12
[[1,2,4],[2],[3]] => 12
[[1,2,4],[2],[4]] => 13
[[1,2,3],[3],[4]] => 13
[[1,3,3],[2],[4]] => 13
[[1,3,4],[2],[3]] => 13
[[1,2,4],[3],[4]] => 14
[[1,3,4],[2],[4]] => 14
[[1,4,4],[2],[3]] => 14
[[1,4,4],[2],[4]] => 15
[[1,3,3],[3],[4]] => 14
[[1,3,4],[3],[4]] => 15
[[1,4,4],[3],[4]] => 16
[[2,2,2],[3],[4]] => 13
[[2,2,3],[3],[4]] => 14
[[2,2,4],[3],[4]] => 15
[[2,3,3],[3],[4]] => 15
[[2,3,4],[3],[4]] => 16
[[2,4,4],[3],[4]] => 17
[[1,1],[2,2],[4]] => 10
[[1,1],[2,3],[4]] => 11
[[1,1],[2,4],[3]] => 11
[[1,1],[2,4],[4]] => 12
[[1,1],[3,3],[4]] => 12
[[1,1],[3,4],[4]] => 13
[[1,2],[2,3],[4]] => 12
[[1,2],[2,4],[3]] => 12
[[1,2],[2,4],[4]] => 13
[[1,2],[3,3],[4]] => 13
[[1,3],[2,4],[3]] => 13
[[1,2],[3,4],[4]] => 14
[[1,3],[2,4],[4]] => 14
[[1,3],[3,4],[4]] => 15
[[2,2],[3,3],[4]] => 14
[[2,2],[3,4],[4]] => 15
[[2,3],[3,4],[4]] => 16
[[1,1],[2],[3],[4]] => 11
[[1,2],[2],[3],[4]] => 12
[[1,3],[2],[3],[4]] => 13
[[1,4],[2],[3],[4]] => 14
[[1,1,1,1,5]] => 9
[[1,1,1,2,5]] => 10
[[1,1,1,3,5]] => 11
[[1,1,1,4,5]] => 12
[[1,1,1,5,5]] => 13
[[1,1,2,2,5]] => 11
[[1,1,2,3,5]] => 12
[[1,1,2,4,5]] => 13
[[1,1,2,5,5]] => 14
[[1,1,3,3,5]] => 13
[[1,1,3,4,5]] => 14
[[1,1,3,5,5]] => 15
[[1,1,4,4,5]] => 15
[[1,1,4,5,5]] => 16
[[1,1,5,5,5]] => 17
[[1,2,2,2,5]] => 12
[[1,2,2,3,5]] => 13
[[1,2,2,4,5]] => 14
[[1,2,2,5,5]] => 15
[[1,2,3,3,5]] => 14
[[1,2,3,4,5]] => 15
[[1,2,3,5,5]] => 16
[[1,2,4,4,5]] => 16
[[1,2,4,5,5]] => 17
[[1,2,5,5,5]] => 18
[[1,3,3,3,5]] => 15
[[1,3,3,4,5]] => 16
[[1,3,3,5,5]] => 17
[[1,3,4,4,5]] => 17
[[1,3,4,5,5]] => 18
[[1,3,5,5,5]] => 19
[[1,4,4,4,5]] => 18
[[1,4,4,5,5]] => 19
[[1,4,5,5,5]] => 20
[[1,5,5,5,5]] => 21
[[2,2,2,2,5]] => 13
[[2,2,2,3,5]] => 14
[[2,2,2,4,5]] => 15
[[2,2,2,5,5]] => 16
[[2,2,3,3,5]] => 15
[[2,2,3,4,5]] => 16
[[2,2,3,5,5]] => 17
[[2,2,4,4,5]] => 17
[[2,2,4,5,5]] => 18
[[2,2,5,5,5]] => 19
[[2,3,3,3,5]] => 16
[[2,3,3,4,5]] => 17
[[2,3,3,5,5]] => 18
[[2,3,4,4,5]] => 18
[[2,3,4,5,5]] => 19
[[2,3,5,5,5]] => 20
[[2,4,4,4,5]] => 19
[[2,4,4,5,5]] => 20
[[2,4,5,5,5]] => 21
[[2,5,5,5,5]] => 22
[[3,3,3,3,5]] => 17
[[3,3,3,4,5]] => 18
[[3,3,3,5,5]] => 19
[[3,3,4,4,5]] => 19
[[3,3,4,5,5]] => 20
[[3,3,5,5,5]] => 21
[[3,4,4,4,5]] => 20
[[3,4,4,5,5]] => 21
[[3,4,5,5,5]] => 22
[[3,5,5,5,5]] => 23
[[4,4,4,4,5]] => 21
[[4,4,4,5,5]] => 22
[[4,4,5,5,5]] => 23
[[4,5,5,5,5]] => 24
[[5,5,5,5,5]] => 25
[[1,1,1,1],[5]] => 9
[[1,1,1,2],[5]] => 10
[[1,1,1,5],[2]] => 10
[[1,1,1,3],[5]] => 11
[[1,1,1,5],[3]] => 11
[[1,1,1,4],[5]] => 12
[[1,1,1,5],[4]] => 12
[[1,1,1,5],[5]] => 13
[[1,1,2,2],[5]] => 11
[[1,1,2,5],[2]] => 11
[[1,1,2,3],[5]] => 12
[[1,1,2,5],[3]] => 12
[[1,1,3,5],[2]] => 12
[[1,1,2,4],[5]] => 13
[[1,1,2,5],[4]] => 13
[[1,1,4,5],[2]] => 13
[[1,1,2,5],[5]] => 14
[[1,1,5,5],[2]] => 14
[[1,1,3,3],[5]] => 13
[[1,1,3,5],[3]] => 13
[[1,1,3,4],[5]] => 14
[[1,1,3,5],[4]] => 14
[[1,1,4,5],[3]] => 14
[[1,1,3,5],[5]] => 15
[[1,1,5,5],[3]] => 15
[[1,1,4,4],[5]] => 15
[[1,1,4,5],[4]] => 15
[[1,1,4,5],[5]] => 16
[[1,1,5,5],[4]] => 16
[[1,1,5,5],[5]] => 17
[[1,2,2,2],[5]] => 12
[[1,2,2,5],[2]] => 12
[[1,2,2,3],[5]] => 13
[[1,2,2,5],[3]] => 13
[[1,2,3,5],[2]] => 13
[[1,2,2,4],[5]] => 14
[[1,2,2,5],[4]] => 14
[[1,2,4,5],[2]] => 14
[[1,2,2,5],[5]] => 15
[[1,2,5,5],[2]] => 15
[[1,2,3,3],[5]] => 14
[[1,2,3,5],[3]] => 14
[[1,3,3,5],[2]] => 14
[[1,2,3,4],[5]] => 15
[[1,2,3,5],[4]] => 15
[[1,2,4,5],[3]] => 15
[[1,3,4,5],[2]] => 15
[[1,2,3,5],[5]] => 16
[[1,2,5,5],[3]] => 16
[[1,3,5,5],[2]] => 16
[[1,2,4,4],[5]] => 16
[[1,2,4,5],[4]] => 16
[[1,4,4,5],[2]] => 16
[[1,2,4,5],[5]] => 17
[[1,2,5,5],[4]] => 17
[[1,4,5,5],[2]] => 17
[[1,2,5,5],[5]] => 18
[[1,5,5,5],[2]] => 18
[[1,3,3,3],[5]] => 15
[[1,3,3,5],[3]] => 15
[[1,3,3,4],[5]] => 16
[[1,3,3,5],[4]] => 16
[[1,3,4,5],[3]] => 16
[[1,3,3,5],[5]] => 17
[[1,3,5,5],[3]] => 17
[[1,3,4,4],[5]] => 17
[[1,3,4,5],[4]] => 17
[[1,4,4,5],[3]] => 17
[[1,3,4,5],[5]] => 18
[[1,3,5,5],[4]] => 18
[[1,4,5,5],[3]] => 18
[[1,3,5,5],[5]] => 19
[[1,5,5,5],[3]] => 19
[[1,4,4,4],[5]] => 18
[[1,4,4,5],[4]] => 18
[[1,4,4,5],[5]] => 19
[[1,4,5,5],[4]] => 19
[[1,4,5,5],[5]] => 20
[[1,5,5,5],[4]] => 20
[[1,5,5,5],[5]] => 21
[[2,2,2,2],[5]] => 13
[[2,2,2,3],[5]] => 14
[[2,2,2,5],[3]] => 14
[[2,2,2,4],[5]] => 15
[[2,2,2,5],[4]] => 15
[[2,2,2,5],[5]] => 16
[[2,2,3,3],[5]] => 15
[[2,2,3,5],[3]] => 15
[[2,2,3,4],[5]] => 16
[[2,2,3,5],[4]] => 16
[[2,2,4,5],[3]] => 16
[[2,2,3,5],[5]] => 17
[[2,2,5,5],[3]] => 17
[[2,2,4,4],[5]] => 17
[[2,2,4,5],[4]] => 17
[[2,2,4,5],[5]] => 18
[[2,2,5,5],[4]] => 18
[[2,2,5,5],[5]] => 19
[[2,3,3,3],[5]] => 16
[[2,3,3,5],[3]] => 16
[[2,3,3,4],[5]] => 17
[[2,3,3,5],[4]] => 17
[[2,3,4,5],[3]] => 17
[[2,3,3,5],[5]] => 18
[[2,3,5,5],[3]] => 18
[[2,3,4,4],[5]] => 18
[[2,3,4,5],[4]] => 18
[[2,4,4,5],[3]] => 18
[[2,3,4,5],[5]] => 19
[[2,3,5,5],[4]] => 19
[[2,4,5,5],[3]] => 19
[[2,3,5,5],[5]] => 20
[[2,5,5,5],[3]] => 20
[[2,4,4,4],[5]] => 19
[[2,4,4,5],[4]] => 19
[[2,4,4,5],[5]] => 20
[[2,4,5,5],[4]] => 20
[[2,4,5,5],[5]] => 21
[[2,5,5,5],[4]] => 21
[[2,5,5,5],[5]] => 22
[[3,3,3,3],[5]] => 17
[[3,3,3,4],[5]] => 18
[[3,3,3,5],[4]] => 18
[[3,3,3,5],[5]] => 19
[[3,3,4,4],[5]] => 19
[[3,3,4,5],[4]] => 19
[[3,3,4,5],[5]] => 20
[[3,3,5,5],[4]] => 20
[[3,3,5,5],[5]] => 21
[[3,4,4,4],[5]] => 20
[[3,4,4,5],[4]] => 20
[[3,4,4,5],[5]] => 21
[[3,4,5,5],[4]] => 21
[[3,4,5,5],[5]] => 22
[[3,5,5,5],[4]] => 22
[[3,5,5,5],[5]] => 23
[[4,4,4,4],[5]] => 21
[[4,4,4,5],[5]] => 22
[[4,4,5,5],[5]] => 23
[[4,5,5,5],[5]] => 24
[[1,1,1],[2,5]] => 10
[[1,1,1],[3,5]] => 11
[[1,1,1],[4,5]] => 12
[[1,1,1],[5,5]] => 13
[[1,1,2],[2,5]] => 11
[[1,1,5],[2,2]] => 11
[[1,1,2],[3,5]] => 12
[[1,1,3],[2,5]] => 12
[[1,1,5],[2,3]] => 12
[[1,1,2],[4,5]] => 13
[[1,1,4],[2,5]] => 13
[[1,1,5],[2,4]] => 13
[[1,1,2],[5,5]] => 14
[[1,1,5],[2,5]] => 14
[[1,1,3],[3,5]] => 13
[[1,1,5],[3,3]] => 13
[[1,1,3],[4,5]] => 14
[[1,1,4],[3,5]] => 14
[[1,1,5],[3,4]] => 14
[[1,1,3],[5,5]] => 15
[[1,1,5],[3,5]] => 15
[[1,1,4],[4,5]] => 15
[[1,1,5],[4,4]] => 15
[[1,1,4],[5,5]] => 16
[[1,1,5],[4,5]] => 16
[[1,1,5],[5,5]] => 17
[[1,2,2],[2,5]] => 12
[[1,2,2],[3,5]] => 13
[[1,2,3],[2,5]] => 13
[[1,2,5],[2,3]] => 13
[[1,2,2],[4,5]] => 14
[[1,2,4],[2,5]] => 14
[[1,2,5],[2,4]] => 14
[[1,2,2],[5,5]] => 15
[[1,2,5],[2,5]] => 15
[[1,2,3],[3,5]] => 14
[[1,2,5],[3,3]] => 14
[[1,3,3],[2,5]] => 14
[[1,2,3],[4,5]] => 15
[[1,2,4],[3,5]] => 15
[[1,2,5],[3,4]] => 15
[[1,3,4],[2,5]] => 15
[[1,3,5],[2,4]] => 15
[[1,2,3],[5,5]] => 16
[[1,2,5],[3,5]] => 16
[[1,3,5],[2,5]] => 16
[[1,2,4],[4,5]] => 16
[[1,2,5],[4,4]] => 16
[[1,4,4],[2,5]] => 16
[[1,2,4],[5,5]] => 17
[[1,2,5],[4,5]] => 17
[[1,4,5],[2,5]] => 17
[[1,2,5],[5,5]] => 18
[[1,3,3],[3,5]] => 15
[[1,3,3],[4,5]] => 16
[[1,3,4],[3,5]] => 16
[[1,3,5],[3,4]] => 16
[[1,3,3],[5,5]] => 17
[[1,3,5],[3,5]] => 17
[[1,3,4],[4,5]] => 17
[[1,3,5],[4,4]] => 17
[[1,4,4],[3,5]] => 17
[[1,3,4],[5,5]] => 18
[[1,3,5],[4,5]] => 18
[[1,4,5],[3,5]] => 18
[[1,3,5],[5,5]] => 19
[[1,4,4],[4,5]] => 18
[[1,4,4],[5,5]] => 19
[[1,4,5],[4,5]] => 19
[[1,4,5],[5,5]] => 20
[[2,2,2],[3,5]] => 14
[[2,2,2],[4,5]] => 15
[[2,2,2],[5,5]] => 16
[[2,2,3],[3,5]] => 15
[[2,2,5],[3,3]] => 15
[[2,2,3],[4,5]] => 16
[[2,2,4],[3,5]] => 16
[[2,2,5],[3,4]] => 16
[[2,2,3],[5,5]] => 17
[[2,2,5],[3,5]] => 17
[[2,2,4],[4,5]] => 17
[[2,2,5],[4,4]] => 17
[[2,2,4],[5,5]] => 18
[[2,2,5],[4,5]] => 18
[[2,2,5],[5,5]] => 19
[[2,3,3],[3,5]] => 16
[[2,3,3],[4,5]] => 17
[[2,3,4],[3,5]] => 17
[[2,3,5],[3,4]] => 17
[[2,3,3],[5,5]] => 18
[[2,3,5],[3,5]] => 18
[[2,3,4],[4,5]] => 18
[[2,3,5],[4,4]] => 18
[[2,4,4],[3,5]] => 18
[[2,3,4],[5,5]] => 19
[[2,3,5],[4,5]] => 19
[[2,4,5],[3,5]] => 19
[[2,3,5],[5,5]] => 20
[[2,4,4],[4,5]] => 19
[[2,4,4],[5,5]] => 20
[[2,4,5],[4,5]] => 20
[[2,4,5],[5,5]] => 21
[[3,3,3],[4,5]] => 18
[[3,3,3],[5,5]] => 19
[[3,3,4],[4,5]] => 19
[[3,3,5],[4,4]] => 19
[[3,3,4],[5,5]] => 20
[[3,3,5],[4,5]] => 20
[[3,3,5],[5,5]] => 21
[[3,4,4],[4,5]] => 20
[[3,4,4],[5,5]] => 21
[[3,4,5],[4,5]] => 21
[[3,4,5],[5,5]] => 22
[[4,4,4],[5,5]] => 22
[[4,4,5],[5,5]] => 23
[[1,1,1],[2],[5]] => 10
[[1,1,1],[3],[5]] => 11
[[1,1,1],[4],[5]] => 12
[[1,1,2],[2],[5]] => 11
[[1,1,2],[3],[5]] => 12
[[1,1,3],[2],[5]] => 12
[[1,1,5],[2],[3]] => 12
[[1,1,2],[4],[5]] => 13
[[1,1,4],[2],[5]] => 13
[[1,1,5],[2],[4]] => 13
[[1,1,5],[2],[5]] => 14
[[1,1,3],[3],[5]] => 13
[[1,1,3],[4],[5]] => 14
[[1,1,4],[3],[5]] => 14
[[1,1,5],[3],[4]] => 14
[[1,1,5],[3],[5]] => 15
[[1,1,4],[4],[5]] => 15
[[1,1,5],[4],[5]] => 16
[[1,2,2],[2],[5]] => 12
[[1,2,2],[3],[5]] => 13
[[1,2,3],[2],[5]] => 13
[[1,2,5],[2],[3]] => 13
[[1,2,2],[4],[5]] => 14
[[1,2,4],[2],[5]] => 14
[[1,2,5],[2],[4]] => 14
[[1,2,5],[2],[5]] => 15
[[1,2,3],[3],[5]] => 14
[[1,3,3],[2],[5]] => 14
[[1,3,5],[2],[3]] => 14
[[1,2,3],[4],[5]] => 15
[[1,2,4],[3],[5]] => 15
[[1,2,5],[3],[4]] => 15
[[1,3,4],[2],[5]] => 15
[[1,3,5],[2],[4]] => 15
[[1,4,5],[2],[3]] => 15
[[1,2,5],[3],[5]] => 16
[[1,3,5],[2],[5]] => 16
[[1,5,5],[2],[3]] => 16
[[1,2,4],[4],[5]] => 16
[[1,4,4],[2],[5]] => 16
[[1,4,5],[2],[4]] => 16
[[1,2,5],[4],[5]] => 17
[[1,4,5],[2],[5]] => 17
[[1,5,5],[2],[4]] => 17
[[1,5,5],[2],[5]] => 18
[[1,3,3],[3],[5]] => 15
[[1,3,3],[4],[5]] => 16
[[1,3,4],[3],[5]] => 16
[[1,3,5],[3],[4]] => 16
[[1,3,5],[3],[5]] => 17
[[1,3,4],[4],[5]] => 17
[[1,4,4],[3],[5]] => 17
[[1,4,5],[3],[4]] => 17
[[1,3,5],[4],[5]] => 18
[[1,4,5],[3],[5]] => 18
[[1,5,5],[3],[4]] => 18
[[1,5,5],[3],[5]] => 19
[[1,4,4],[4],[5]] => 18
[[1,4,5],[4],[5]] => 19
[[1,5,5],[4],[5]] => 20
[[2,2,2],[3],[5]] => 14
[[2,2,2],[4],[5]] => 15
[[2,2,3],[3],[5]] => 15
[[2,2,3],[4],[5]] => 16
[[2,2,4],[3],[5]] => 16
[[2,2,5],[3],[4]] => 16
[[2,2,5],[3],[5]] => 17
[[2,2,4],[4],[5]] => 17
[[2,2,5],[4],[5]] => 18
[[2,3,3],[3],[5]] => 16
[[2,3,3],[4],[5]] => 17
[[2,3,4],[3],[5]] => 17
[[2,3,5],[3],[4]] => 17
[[2,3,5],[3],[5]] => 18
[[2,3,4],[4],[5]] => 18
[[2,4,4],[3],[5]] => 18
[[2,4,5],[3],[4]] => 18
[[2,3,5],[4],[5]] => 19
[[2,4,5],[3],[5]] => 19
[[2,5,5],[3],[4]] => 19
[[2,5,5],[3],[5]] => 20
[[2,4,4],[4],[5]] => 19
[[2,4,5],[4],[5]] => 20
[[2,5,5],[4],[5]] => 21
[[3,3,3],[4],[5]] => 18
[[3,3,4],[4],[5]] => 19
[[3,3,5],[4],[5]] => 20
[[3,4,4],[4],[5]] => 20
[[3,4,5],[4],[5]] => 21
[[3,5,5],[4],[5]] => 22
[[1,1],[2,2],[5]] => 11
[[1,1],[2,3],[5]] => 12
[[1,1],[2,5],[3]] => 12
[[1,1],[2,4],[5]] => 13
[[1,1],[2,5],[4]] => 13
[[1,1],[2,5],[5]] => 14
[[1,1],[3,3],[5]] => 13
[[1,1],[3,4],[5]] => 14
[[1,1],[3,5],[4]] => 14
[[1,1],[3,5],[5]] => 15
[[1,1],[4,4],[5]] => 15
[[1,1],[4,5],[5]] => 16
[[1,2],[2,3],[5]] => 13
[[1,2],[2,5],[3]] => 13
[[1,2],[2,4],[5]] => 14
[[1,2],[2,5],[4]] => 14
[[1,2],[2,5],[5]] => 15
[[1,2],[3,3],[5]] => 14
[[1,3],[2,5],[3]] => 14
[[1,2],[3,4],[5]] => 15
[[1,2],[3,5],[4]] => 15
[[1,3],[2,4],[5]] => 15
[[1,3],[2,5],[4]] => 15
[[1,4],[2,5],[3]] => 15
[[1,2],[3,5],[5]] => 16
[[1,3],[2,5],[5]] => 16
[[1,2],[4,4],[5]] => 16
[[1,4],[2,5],[4]] => 16
[[1,2],[4,5],[5]] => 17
[[1,4],[2,5],[5]] => 17
[[1,3],[3,4],[5]] => 16
[[1,3],[3,5],[4]] => 16
[[1,3],[3,5],[5]] => 17
[[1,3],[4,4],[5]] => 17
[[1,4],[3,5],[4]] => 17
[[1,3],[4,5],[5]] => 18
[[1,4],[3,5],[5]] => 18
[[1,4],[4,5],[5]] => 19
[[2,2],[3,3],[5]] => 15
[[2,2],[3,4],[5]] => 16
[[2,2],[3,5],[4]] => 16
[[2,2],[3,5],[5]] => 17
[[2,2],[4,4],[5]] => 17
[[2,2],[4,5],[5]] => 18
[[2,3],[3,4],[5]] => 17
[[2,3],[3,5],[4]] => 17
[[2,3],[3,5],[5]] => 18
[[2,3],[4,4],[5]] => 18
[[2,4],[3,5],[4]] => 18
[[2,3],[4,5],[5]] => 19
[[2,4],[3,5],[5]] => 19
[[2,4],[4,5],[5]] => 20
[[3,3],[4,4],[5]] => 19
[[3,3],[4,5],[5]] => 20
[[3,4],[4,5],[5]] => 21
[[1,1],[2],[3],[5]] => 12
[[1,1],[2],[4],[5]] => 13
[[1,1],[3],[4],[5]] => 14
[[1,2],[2],[3],[5]] => 13
[[1,2],[2],[4],[5]] => 14
[[1,3],[2],[3],[5]] => 14
[[1,2],[3],[4],[5]] => 15
[[1,3],[2],[4],[5]] => 15
[[1,4],[2],[3],[5]] => 15
[[1,5],[2],[3],[4]] => 15
[[1,5],[2],[3],[5]] => 16
[[1,4],[2],[4],[5]] => 16
[[1,5],[2],[4],[5]] => 17
[[1,3],[3],[4],[5]] => 16
[[1,4],[3],[4],[5]] => 17
[[1,5],[3],[4],[5]] => 18
[[2,2],[3],[4],[5]] => 16
[[2,3],[3],[4],[5]] => 17
[[2,4],[3],[4],[5]] => 18
[[2,5],[3],[4],[5]] => 19
[[1],[2],[3],[4],[5]] => 15
-----------------------------------------------------------------------------
Created: Jun 14, 2013 at 00:58 by Jessica Striker
-----------------------------------------------------------------------------
Last Updated: Oct 19, 2015 at 16:36 by Christian Stump