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-----------------------------------------------------------------------------
Statistic identifier: St000173
-----------------------------------------------------------------------------
Collection: Semistandard tableaux
-----------------------------------------------------------------------------
Description: The segment statistic of a semistandard tableau.
Let ''T'' be a tableau. A ''k''-segment of ''T'' (in the ''i''th row) is defined to be a maximal consecutive sequence of ''k''-boxes in the ith row. Note that the possible ''i''-boxes in the ''i''th row are not considered to be ''i''-segments. Then seg(''T'') is the total number of ''k''-segments in ''T'' as ''k'' varies over all possible values.
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References: [1] Salisbury, B. The flush statistic on semistandard Young tableaux [[arXiv:1401.1185]]
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Code:
def statistic(x):
return x.seg()
-----------------------------------------------------------------------------
Statistic values:
[[1]] => 0
[[2]] => 1
[[3]] => 1
[[4]] => 1
[[1,1]] => 0
[[1,2]] => 1
[[2,2]] => 1
[[1],[2]] => 0
[[1,3]] => 1
[[2,3]] => 2
[[3,3]] => 1
[[1],[3]] => 1
[[2],[3]] => 2
[[1,4]] => 1
[[2,4]] => 2
[[3,4]] => 2
[[4,4]] => 1
[[1],[4]] => 1
[[2],[4]] => 2
[[3],[4]] => 2
[[1,1,1]] => 0
[[1,1,2]] => 1
[[1,2,2]] => 1
[[2,2,2]] => 1
[[1,1],[2]] => 0
[[1,2],[2]] => 1
[[1,1,3]] => 1
[[1,2,3]] => 2
[[1,3,3]] => 1
[[2,2,3]] => 2
[[2,3,3]] => 2
[[3,3,3]] => 1
[[1,1],[3]] => 1
[[1,2],[3]] => 2
[[1,3],[2]] => 1
[[1,3],[3]] => 2
[[2,2],[3]] => 2
[[2,3],[3]] => 3
[[1],[2],[3]] => 0
[[1,1,4]] => 1
[[1,2,4]] => 2
[[1,3,4]] => 2
[[1,4,4]] => 1
[[2,2,4]] => 2
[[2,3,4]] => 3
[[2,4,4]] => 2
[[3,3,4]] => 2
[[3,4,4]] => 2
[[4,4,4]] => 1
[[1,1],[4]] => 1
[[1,2],[4]] => 2
[[1,4],[2]] => 1
[[1,3],[4]] => 2
[[1,4],[3]] => 2
[[1,4],[4]] => 2
[[2,2],[4]] => 2
[[2,3],[4]] => 3
[[2,4],[3]] => 3
[[2,4],[4]] => 3
[[3,3],[4]] => 2
[[3,4],[4]] => 3
[[1],[2],[4]] => 1
[[1],[3],[4]] => 2
[[2],[3],[4]] => 3
[[1,1,1,1]] => 0
[[1,1,1,2]] => 1
[[1,1,2,2]] => 1
[[1,2,2,2]] => 1
[[2,2,2,2]] => 1
[[1,1,1],[2]] => 0
[[1,1,2],[2]] => 1
[[1,2,2],[2]] => 1
[[1,1],[2,2]] => 0
[[1,1,1,3]] => 1
[[1,1,2,3]] => 2
[[1,1,3,3]] => 1
[[1,2,2,3]] => 2
[[1,2,3,3]] => 2
[[1,3,3,3]] => 1
[[2,2,2,3]] => 2
[[2,2,3,3]] => 2
[[2,3,3,3]] => 2
[[3,3,3,3]] => 1
[[1,1,1],[3]] => 1
[[1,1,2],[3]] => 2
[[1,1,3],[2]] => 1
[[1,1,3],[3]] => 2
[[1,2,2],[3]] => 2
[[1,2,3],[2]] => 2
[[1,2,3],[3]] => 3
[[1,3,3],[2]] => 1
[[1,3,3],[3]] => 2
[[2,2,2],[3]] => 2
[[2,2,3],[3]] => 3
[[2,3,3],[3]] => 3
[[1,1],[2,3]] => 1
[[1,1],[3,3]] => 1
[[1,2],[2,3]] => 2
[[1,2],[3,3]] => 2
[[2,2],[3,3]] => 2
[[1,1],[2],[3]] => 0
[[1,2],[2],[3]] => 1
[[1,3],[2],[3]] => 1
[[1,1,1,4]] => 1
[[1,1,2,4]] => 2
[[1,1,3,4]] => 2
[[1,1,4,4]] => 1
[[1,2,2,4]] => 2
[[1,2,3,4]] => 3
[[1,2,4,4]] => 2
[[1,3,3,4]] => 2
[[1,3,4,4]] => 2
[[1,4,4,4]] => 1
[[2,2,2,4]] => 2
[[2,2,3,4]] => 3
[[2,2,4,4]] => 2
[[2,3,3,4]] => 3
[[2,3,4,4]] => 3
[[2,4,4,4]] => 2
[[3,3,3,4]] => 2
[[3,3,4,4]] => 2
[[3,4,4,4]] => 2
[[4,4,4,4]] => 1
[[1,1,1],[4]] => 1
[[1,1,2],[4]] => 2
[[1,1,4],[2]] => 1
[[1,1,3],[4]] => 2
[[1,1,4],[3]] => 2
[[1,1,4],[4]] => 2
[[1,2,2],[4]] => 2
[[1,2,4],[2]] => 2
[[1,2,3],[4]] => 3
[[1,2,4],[3]] => 3
[[1,3,4],[2]] => 2
[[1,2,4],[4]] => 3
[[1,4,4],[2]] => 1
[[1,3,3],[4]] => 2
[[1,3,4],[3]] => 3
[[1,3,4],[4]] => 3
[[1,4,4],[3]] => 2
[[1,4,4],[4]] => 2
[[2,2,2],[4]] => 2
[[2,2,3],[4]] => 3
[[2,2,4],[3]] => 3
[[2,2,4],[4]] => 3
[[2,3,3],[4]] => 3
[[2,3,4],[3]] => 4
[[2,3,4],[4]] => 4
[[2,4,4],[3]] => 3
[[2,4,4],[4]] => 3
[[3,3,3],[4]] => 2
[[3,3,4],[4]] => 3
[[3,4,4],[4]] => 3
[[1,1],[2,4]] => 1
[[1,1],[3,4]] => 2
[[1,1],[4,4]] => 1
[[1,2],[2,4]] => 2
[[1,2],[3,4]] => 3
[[1,3],[2,4]] => 2
[[1,2],[4,4]] => 2
[[1,3],[3,4]] => 3
[[1,3],[4,4]] => 2
[[2,2],[3,4]] => 3
[[2,2],[4,4]] => 2
[[2,3],[3,4]] => 4
[[2,3],[4,4]] => 3
[[3,3],[4,4]] => 2
[[1,1],[2],[4]] => 1
[[1,1],[3],[4]] => 2
[[1,2],[2],[4]] => 2
[[1,2],[3],[4]] => 3
[[1,3],[2],[4]] => 2
[[1,4],[2],[3]] => 1
[[1,4],[2],[4]] => 2
[[1,3],[3],[4]] => 3
[[1,4],[3],[4]] => 3
[[2,2],[3],[4]] => 3
[[2,3],[3],[4]] => 4
[[2,4],[3],[4]] => 4
[[1],[2],[3],[4]] => 0
[[1,1,1,1,1]] => 0
[[1,1,1,1,2]] => 1
[[1,1,1,2,2]] => 1
[[1,1,2,2,2]] => 1
[[1,2,2,2,2]] => 1
[[2,2,2,2,2]] => 1
[[1,1,1,1],[2]] => 0
[[1,1,1,2],[2]] => 1
[[1,1,2,2],[2]] => 1
[[1,2,2,2],[2]] => 1
[[1,1,1],[2,2]] => 0
[[1,1,2],[2,2]] => 1
[[1,1,1,1,3]] => 1
[[1,1,1,2,3]] => 2
[[1,1,1,3,3]] => 1
[[1,1,2,2,3]] => 2
[[1,1,2,3,3]] => 2
[[1,1,3,3,3]] => 1
[[1,2,2,2,3]] => 2
[[1,2,2,3,3]] => 2
[[1,2,3,3,3]] => 2
[[1,3,3,3,3]] => 1
[[2,2,2,2,3]] => 2
[[2,2,2,3,3]] => 2
[[2,2,3,3,3]] => 2
[[2,3,3,3,3]] => 2
[[3,3,3,3,3]] => 1
[[1,1,1,1],[3]] => 1
[[1,1,1,2],[3]] => 2
[[1,1,1,3],[2]] => 1
[[1,1,1,3],[3]] => 2
[[1,1,2,2],[3]] => 2
[[1,1,2,3],[2]] => 2
[[1,1,2,3],[3]] => 3
[[1,1,3,3],[2]] => 1
[[1,1,3,3],[3]] => 2
[[1,2,2,2],[3]] => 2
[[1,2,2,3],[2]] => 2
[[1,2,2,3],[3]] => 3
[[1,2,3,3],[2]] => 2
[[1,2,3,3],[3]] => 3
[[1,3,3,3],[2]] => 1
[[1,3,3,3],[3]] => 2
[[2,2,2,2],[3]] => 2
[[2,2,2,3],[3]] => 3
[[2,2,3,3],[3]] => 3
[[2,3,3,3],[3]] => 3
[[1,1,1],[2,3]] => 1
[[1,1,1],[3,3]] => 1
[[1,1,2],[2,3]] => 2
[[1,1,3],[2,2]] => 1
[[1,1,2],[3,3]] => 2
[[1,1,3],[2,3]] => 2
[[1,1,3],[3,3]] => 2
[[1,2,2],[2,3]] => 2
[[1,2,2],[3,3]] => 2
[[1,2,3],[2,3]] => 3
[[1,2,3],[3,3]] => 3
[[2,2,2],[3,3]] => 2
[[2,2,3],[3,3]] => 3
[[1,1,1],[2],[3]] => 0
[[1,1,2],[2],[3]] => 1
[[1,1,3],[2],[3]] => 1
[[1,2,2],[2],[3]] => 1
[[1,2,3],[2],[3]] => 2
[[1,3,3],[2],[3]] => 1
[[1,1],[2,2],[3]] => 0
[[1,1],[2,3],[3]] => 1
[[1,2],[2,3],[3]] => 2
[[1,1,1,1,4]] => 1
[[1,1,1,2,4]] => 2
[[1,1,1,3,4]] => 2
[[1,1,1,4,4]] => 1
[[1,1,2,2,4]] => 2
[[1,1,2,3,4]] => 3
[[1,1,2,4,4]] => 2
[[1,1,3,3,4]] => 2
[[1,1,3,4,4]] => 2
[[1,1,4,4,4]] => 1
[[1,2,2,2,4]] => 2
[[1,2,2,3,4]] => 3
[[1,2,2,4,4]] => 2
[[1,2,3,3,4]] => 3
[[1,2,3,4,4]] => 3
[[1,2,4,4,4]] => 2
[[1,3,3,3,4]] => 2
[[1,3,3,4,4]] => 2
[[1,3,4,4,4]] => 2
[[1,4,4,4,4]] => 1
[[2,2,2,2,4]] => 2
[[2,2,2,3,4]] => 3
[[2,2,2,4,4]] => 2
[[2,2,3,3,4]] => 3
[[2,2,3,4,4]] => 3
[[2,2,4,4,4]] => 2
[[2,3,3,3,4]] => 3
[[2,3,3,4,4]] => 3
[[2,3,4,4,4]] => 3
[[2,4,4,4,4]] => 2
[[3,3,3,3,4]] => 2
[[3,3,3,4,4]] => 2
[[3,3,4,4,4]] => 2
[[3,4,4,4,4]] => 2
[[4,4,4,4,4]] => 1
[[1,1,1,1],[4]] => 1
[[1,1,1,2],[4]] => 2
[[1,1,1,4],[2]] => 1
[[1,1,1,3],[4]] => 2
[[1,1,1,4],[3]] => 2
[[1,1,1,4],[4]] => 2
[[1,1,2,2],[4]] => 2
[[1,1,2,4],[2]] => 2
[[1,1,2,3],[4]] => 3
[[1,1,2,4],[3]] => 3
[[1,1,3,4],[2]] => 2
[[1,1,2,4],[4]] => 3
[[1,1,4,4],[2]] => 1
[[1,1,3,3],[4]] => 2
[[1,1,3,4],[3]] => 3
[[1,1,3,4],[4]] => 3
[[1,1,4,4],[3]] => 2
[[1,1,4,4],[4]] => 2
[[1,2,2,2],[4]] => 2
[[1,2,2,4],[2]] => 2
[[1,2,2,3],[4]] => 3
[[1,2,2,4],[3]] => 3
[[1,2,3,4],[2]] => 3
[[1,2,2,4],[4]] => 3
[[1,2,4,4],[2]] => 2
[[1,2,3,3],[4]] => 3
[[1,2,3,4],[3]] => 4
[[1,3,3,4],[2]] => 2
[[1,2,3,4],[4]] => 4
[[1,2,4,4],[3]] => 3
[[1,3,4,4],[2]] => 2
[[1,2,4,4],[4]] => 3
[[1,4,4,4],[2]] => 1
[[1,3,3,3],[4]] => 2
[[1,3,3,4],[3]] => 3
[[1,3,3,4],[4]] => 3
[[1,3,4,4],[3]] => 3
[[1,3,4,4],[4]] => 3
[[1,4,4,4],[3]] => 2
[[1,4,4,4],[4]] => 2
[[2,2,2,2],[4]] => 2
[[2,2,2,3],[4]] => 3
[[2,2,2,4],[3]] => 3
[[2,2,2,4],[4]] => 3
[[2,2,3,3],[4]] => 3
[[2,2,3,4],[3]] => 4
[[2,2,3,4],[4]] => 4
[[2,2,4,4],[3]] => 3
[[2,2,4,4],[4]] => 3
[[2,3,3,3],[4]] => 3
[[2,3,3,4],[3]] => 4
[[2,3,3,4],[4]] => 4
[[2,3,4,4],[3]] => 4
[[2,3,4,4],[4]] => 4
[[2,4,4,4],[3]] => 3
[[2,4,4,4],[4]] => 3
[[3,3,3,3],[4]] => 2
[[3,3,3,4],[4]] => 3
[[3,3,4,4],[4]] => 3
[[3,4,4,4],[4]] => 3
[[1,1,1],[2,4]] => 1
[[1,1,1],[3,4]] => 2
[[1,1,1],[4,4]] => 1
[[1,1,2],[2,4]] => 2
[[1,1,4],[2,2]] => 1
[[1,1,2],[3,4]] => 3
[[1,1,3],[2,4]] => 2
[[1,1,4],[2,3]] => 2
[[1,1,2],[4,4]] => 2
[[1,1,4],[2,4]] => 2
[[1,1,3],[3,4]] => 3
[[1,1,4],[3,3]] => 2
[[1,1,3],[4,4]] => 2
[[1,1,4],[3,4]] => 3
[[1,1,4],[4,4]] => 2
[[1,2,2],[2,4]] => 2
[[1,2,2],[3,4]] => 3
[[1,2,3],[2,4]] => 3
[[1,2,4],[2,3]] => 3
[[1,2,2],[4,4]] => 2
[[1,2,4],[2,4]] => 3
[[1,2,3],[3,4]] => 4
[[1,2,4],[3,3]] => 3
[[1,3,3],[2,4]] => 2
[[1,2,3],[4,4]] => 3
[[1,2,4],[3,4]] => 4
[[1,3,4],[2,4]] => 3
[[1,2,4],[4,4]] => 3
[[1,3,3],[3,4]] => 3
[[1,3,3],[4,4]] => 2
[[1,3,4],[3,4]] => 4
[[1,3,4],[4,4]] => 3
[[2,2,2],[3,4]] => 3
[[2,2,2],[4,4]] => 2
[[2,2,3],[3,4]] => 4
[[2,2,4],[3,3]] => 3
[[2,2,3],[4,4]] => 3
[[2,2,4],[3,4]] => 4
[[2,2,4],[4,4]] => 3
[[2,3,3],[3,4]] => 4
[[2,3,3],[4,4]] => 3
[[2,3,4],[3,4]] => 5
[[2,3,4],[4,4]] => 4
[[3,3,3],[4,4]] => 2
[[3,3,4],[4,4]] => 3
[[1,1,1],[2],[4]] => 1
[[1,1,1],[3],[4]] => 2
[[1,1,2],[2],[4]] => 2
[[1,1,2],[3],[4]] => 3
[[1,1,3],[2],[4]] => 2
[[1,1,4],[2],[3]] => 1
[[1,1,4],[2],[4]] => 2
[[1,1,3],[3],[4]] => 3
[[1,1,4],[3],[4]] => 3
[[1,2,2],[2],[4]] => 2
[[1,2,2],[3],[4]] => 3
[[1,2,3],[2],[4]] => 3
[[1,2,4],[2],[3]] => 2
[[1,2,4],[2],[4]] => 3
[[1,2,3],[3],[4]] => 4
[[1,3,3],[2],[4]] => 2
[[1,3,4],[2],[3]] => 2
[[1,2,4],[3],[4]] => 4
[[1,3,4],[2],[4]] => 3
[[1,4,4],[2],[3]] => 1
[[1,4,4],[2],[4]] => 2
[[1,3,3],[3],[4]] => 3
[[1,3,4],[3],[4]] => 4
[[1,4,4],[3],[4]] => 3
[[2,2,2],[3],[4]] => 3
[[2,2,3],[3],[4]] => 4
[[2,2,4],[3],[4]] => 4
[[2,3,3],[3],[4]] => 4
[[2,3,4],[3],[4]] => 5
[[2,4,4],[3],[4]] => 4
[[1,1],[2,2],[4]] => 1
[[1,1],[2,3],[4]] => 2
[[1,1],[2,4],[3]] => 1
[[1,1],[2,4],[4]] => 2
[[1,1],[3,3],[4]] => 2
[[1,1],[3,4],[4]] => 3
[[1,2],[2,3],[4]] => 3
[[1,2],[2,4],[3]] => 2
[[1,2],[2,4],[4]] => 3
[[1,2],[3,3],[4]] => 3
[[1,3],[2,4],[3]] => 2
[[1,2],[3,4],[4]] => 4
[[1,3],[2,4],[4]] => 3
[[1,3],[3,4],[4]] => 4
[[2,2],[3,3],[4]] => 3
[[2,2],[3,4],[4]] => 4
[[2,3],[3,4],[4]] => 5
[[1,1],[2],[3],[4]] => 0
[[1,2],[2],[3],[4]] => 1
[[1,3],[2],[3],[4]] => 1
[[1,4],[2],[3],[4]] => 1
[[1,1,1,1,1,1]] => 0
[[1,1,1,1,1,2]] => 1
[[1,1,1,1,2,2]] => 1
[[1,1,1,2,2,2]] => 1
[[1,1,2,2,2,2]] => 1
[[1,2,2,2,2,2]] => 1
[[2,2,2,2,2,2]] => 1
[[1,1,1,1,1],[2]] => 0
[[1,1,1,1,2],[2]] => 1
[[1,1,1,2,2],[2]] => 1
[[1,1,2,2,2],[2]] => 1
[[1,2,2,2,2],[2]] => 1
[[1,1,1,1],[2,2]] => 0
[[1,1,1,2],[2,2]] => 1
[[1,1,2,2],[2,2]] => 1
[[1,1,1],[2,2,2]] => 0
[[1,1,1,1,1,3]] => 1
[[1,1,1,1,2,3]] => 2
[[1,1,1,1,3,3]] => 1
[[1,1,1,2,2,3]] => 2
[[1,1,1,2,3,3]] => 2
[[1,1,1,3,3,3]] => 1
[[1,1,2,2,2,3]] => 2
[[1,1,2,2,3,3]] => 2
[[1,1,2,3,3,3]] => 2
[[1,1,3,3,3,3]] => 1
[[1,2,2,2,2,3]] => 2
[[1,2,2,2,3,3]] => 2
[[1,2,2,3,3,3]] => 2
[[1,2,3,3,3,3]] => 2
[[1,3,3,3,3,3]] => 1
[[2,2,2,2,2,3]] => 2
[[2,2,2,2,3,3]] => 2
[[2,2,2,3,3,3]] => 2
[[2,2,3,3,3,3]] => 2
[[2,3,3,3,3,3]] => 2
[[3,3,3,3,3,3]] => 1
[[1,1,1,1,1],[3]] => 1
[[1,1,1,1,2],[3]] => 2
[[1,1,1,1,3],[2]] => 1
[[1,1,1,1,3],[3]] => 2
[[1,1,1,2,2],[3]] => 2
[[1,1,1,2,3],[2]] => 2
[[1,1,1,2,3],[3]] => 3
[[1,1,1,3,3],[2]] => 1
[[1,1,1,3,3],[3]] => 2
[[1,1,2,2,2],[3]] => 2
[[1,1,2,2,3],[2]] => 2
[[1,1,2,2,3],[3]] => 3
[[1,1,2,3,3],[2]] => 2
[[1,1,2,3,3],[3]] => 3
[[1,1,3,3,3],[2]] => 1
[[1,1,3,3,3],[3]] => 2
[[1,2,2,2,2],[3]] => 2
[[1,2,2,2,3],[2]] => 2
[[1,2,2,2,3],[3]] => 3
[[1,2,2,3,3],[2]] => 2
[[1,2,2,3,3],[3]] => 3
[[1,2,3,3,3],[2]] => 2
[[1,2,3,3,3],[3]] => 3
[[1,3,3,3,3],[2]] => 1
[[1,3,3,3,3],[3]] => 2
[[2,2,2,2,2],[3]] => 2
[[2,2,2,2,3],[3]] => 3
[[2,2,2,3,3],[3]] => 3
[[2,2,3,3,3],[3]] => 3
[[2,3,3,3,3],[3]] => 3
[[1,1,1,1],[2,3]] => 1
[[1,1,1,1],[3,3]] => 1
[[1,1,1,2],[2,3]] => 2
[[1,1,1,3],[2,2]] => 1
[[1,1,1,2],[3,3]] => 2
[[1,1,1,3],[2,3]] => 2
[[1,1,1,3],[3,3]] => 2
[[1,1,2,2],[2,3]] => 2
[[1,1,2,3],[2,2]] => 2
[[1,1,2,2],[3,3]] => 2
[[1,1,2,3],[2,3]] => 3
[[1,1,3,3],[2,2]] => 1
[[1,1,2,3],[3,3]] => 3
[[1,1,3,3],[2,3]] => 2
[[1,1,3,3],[3,3]] => 2
[[1,2,2,2],[2,3]] => 2
[[1,2,2,2],[3,3]] => 2
[[1,2,2,3],[2,3]] => 3
[[1,2,2,3],[3,3]] => 3
[[1,2,3,3],[2,3]] => 3
[[1,2,3,3],[3,3]] => 3
[[2,2,2,2],[3,3]] => 2
[[2,2,2,3],[3,3]] => 3
[[2,2,3,3],[3,3]] => 3
[[1,1,1,1],[2],[3]] => 0
[[1,1,1,2],[2],[3]] => 1
[[1,1,1,3],[2],[3]] => 1
[[1,1,2,2],[2],[3]] => 1
[[1,1,2,3],[2],[3]] => 2
[[1,1,3,3],[2],[3]] => 1
[[1,2,2,2],[2],[3]] => 1
[[1,2,2,3],[2],[3]] => 2
[[1,2,3,3],[2],[3]] => 2
[[1,3,3,3],[2],[3]] => 1
[[1,1,1],[2,2,3]] => 1
[[1,1,1],[2,3,3]] => 1
[[1,1,1],[3,3,3]] => 1
[[1,1,2],[2,2,3]] => 2
[[1,1,2],[2,3,3]] => 2
[[1,1,2],[3,3,3]] => 2
[[1,2,2],[2,3,3]] => 2
[[1,2,2],[3,3,3]] => 2
[[2,2,2],[3,3,3]] => 2
[[1,1,1],[2,2],[3]] => 0
[[1,1,1],[2,3],[3]] => 1
[[1,1,2],[2,2],[3]] => 1
[[1,1,2],[2,3],[3]] => 2
[[1,1,3],[2,2],[3]] => 1
[[1,1,3],[2,3],[3]] => 2
[[1,2,2],[2,3],[3]] => 2
[[1,2,3],[2,3],[3]] => 3
[[1,1],[2,2],[3,3]] => 0
[[1,1,1,1,1,4]] => 1
[[1,1,1,1,2,4]] => 2
[[1,1,1,1,3,4]] => 2
[[1,1,1,1,4,4]] => 1
[[1,1,1,2,2,4]] => 2
[[1,1,1,2,3,4]] => 3
[[1,1,1,2,4,4]] => 2
[[1,1,1,3,3,4]] => 2
[[1,1,1,3,4,4]] => 2
[[1,1,1,4,4,4]] => 1
[[1,1,2,2,2,4]] => 2
[[1,1,2,2,3,4]] => 3
[[1,1,2,2,4,4]] => 2
[[1,1,2,3,3,4]] => 3
[[1,1,2,3,4,4]] => 3
[[1,1,2,4,4,4]] => 2
[[1,1,3,3,3,4]] => 2
[[1,1,3,3,4,4]] => 2
[[1,1,3,4,4,4]] => 2
[[1,1,4,4,4,4]] => 1
[[1,2,2,2,2,4]] => 2
[[1,2,2,2,3,4]] => 3
[[1,2,2,2,4,4]] => 2
[[1,2,2,3,3,4]] => 3
[[1,2,2,3,4,4]] => 3
[[1,2,2,4,4,4]] => 2
[[1,2,3,3,3,4]] => 3
[[1,2,3,3,4,4]] => 3
[[1,2,3,4,4,4]] => 3
[[1,2,4,4,4,4]] => 2
[[1,3,3,3,3,4]] => 2
[[1,3,3,3,4,4]] => 2
[[1,3,3,4,4,4]] => 2
[[1,3,4,4,4,4]] => 2
[[1,4,4,4,4,4]] => 1
[[2,2,2,2,2,4]] => 2
[[2,2,2,2,3,4]] => 3
[[2,2,2,2,4,4]] => 2
[[2,2,2,3,3,4]] => 3
[[2,2,2,3,4,4]] => 3
[[2,2,2,4,4,4]] => 2
[[2,2,3,3,3,4]] => 3
[[2,2,3,3,4,4]] => 3
[[2,2,3,4,4,4]] => 3
[[2,2,4,4,4,4]] => 2
[[2,3,3,3,3,4]] => 3
[[2,3,3,3,4,4]] => 3
[[2,3,3,4,4,4]] => 3
[[2,3,4,4,4,4]] => 3
[[2,4,4,4,4,4]] => 2
[[3,3,3,3,3,4]] => 2
[[3,3,3,3,4,4]] => 2
[[3,3,3,4,4,4]] => 2
[[3,3,4,4,4,4]] => 2
[[3,4,4,4,4,4]] => 2
[[4,4,4,4,4,4]] => 1
[[1,1,1,1,1],[4]] => 1
[[1,1,1,1,2],[4]] => 2
[[1,1,1,1,4],[2]] => 1
[[1,1,1,1,3],[4]] => 2
[[1,1,1,1,4],[3]] => 2
[[1,1,1,1,4],[4]] => 2
[[1,1,1,2,2],[4]] => 2
[[1,1,1,2,4],[2]] => 2
[[1,1,1,2,3],[4]] => 3
[[1,1,1,2,4],[3]] => 3
[[1,1,1,3,4],[2]] => 2
[[1,1,1,2,4],[4]] => 3
[[1,1,1,4,4],[2]] => 1
[[1,1,1,3,3],[4]] => 2
[[1,1,1,3,4],[3]] => 3
[[1,1,1,3,4],[4]] => 3
[[1,1,1,4,4],[3]] => 2
[[1,1,1,4,4],[4]] => 2
[[1,1,2,2,2],[4]] => 2
[[1,1,2,2,4],[2]] => 2
[[1,1,2,2,3],[4]] => 3
[[1,1,2,2,4],[3]] => 3
[[1,1,2,3,4],[2]] => 3
[[1,1,2,2,4],[4]] => 3
[[1,1,2,4,4],[2]] => 2
[[1,1,2,3,3],[4]] => 3
[[1,1,2,3,4],[3]] => 4
[[1,1,3,3,4],[2]] => 2
[[1,1,2,3,4],[4]] => 4
[[1,1,2,4,4],[3]] => 3
[[1,1,3,4,4],[2]] => 2
[[1,1,2,4,4],[4]] => 3
[[1,1,4,4,4],[2]] => 1
[[1,1,3,3,3],[4]] => 2
[[1,1,3,3,4],[3]] => 3
[[1,1,3,3,4],[4]] => 3
[[1,1,3,4,4],[3]] => 3
[[1,1,3,4,4],[4]] => 3
[[1,1,4,4,4],[3]] => 2
[[1,1,4,4,4],[4]] => 2
[[1,2,2,2,2],[4]] => 2
[[1,2,2,2,4],[2]] => 2
[[1,2,2,2,3],[4]] => 3
[[1,2,2,2,4],[3]] => 3
[[1,2,2,3,4],[2]] => 3
[[1,2,2,2,4],[4]] => 3
[[1,2,2,4,4],[2]] => 2
[[1,2,2,3,3],[4]] => 3
[[1,2,2,3,4],[3]] => 4
[[1,2,3,3,4],[2]] => 3
[[1,2,2,3,4],[4]] => 4
[[1,2,2,4,4],[3]] => 3
[[1,2,3,4,4],[2]] => 3
[[1,2,2,4,4],[4]] => 3
[[1,2,4,4,4],[2]] => 2
[[1,2,3,3,3],[4]] => 3
[[1,2,3,3,4],[3]] => 4
[[1,3,3,3,4],[2]] => 2
[[1,2,3,3,4],[4]] => 4
[[1,2,3,4,4],[3]] => 4
[[1,3,3,4,4],[2]] => 2
[[1,2,3,4,4],[4]] => 4
[[1,2,4,4,4],[3]] => 3
[[1,3,4,4,4],[2]] => 2
[[1,2,4,4,4],[4]] => 3
[[1,4,4,4,4],[2]] => 1
[[1,3,3,3,3],[4]] => 2
[[1,3,3,3,4],[3]] => 3
[[1,3,3,3,4],[4]] => 3
[[1,3,3,4,4],[3]] => 3
[[1,3,3,4,4],[4]] => 3
[[1,3,4,4,4],[3]] => 3
[[1,3,4,4,4],[4]] => 3
[[1,4,4,4,4],[3]] => 2
[[1,4,4,4,4],[4]] => 2
[[2,2,2,2,2],[4]] => 2
[[2,2,2,2,3],[4]] => 3
[[2,2,2,2,4],[3]] => 3
[[2,2,2,2,4],[4]] => 3
[[2,2,2,3,3],[4]] => 3
[[2,2,2,3,4],[3]] => 4
[[2,2,2,3,4],[4]] => 4
[[2,2,2,4,4],[3]] => 3
[[2,2,2,4,4],[4]] => 3
[[2,2,3,3,3],[4]] => 3
[[2,2,3,3,4],[3]] => 4
[[2,2,3,3,4],[4]] => 4
[[2,2,3,4,4],[3]] => 4
[[2,2,3,4,4],[4]] => 4
[[2,2,4,4,4],[3]] => 3
[[2,2,4,4,4],[4]] => 3
[[2,3,3,3,3],[4]] => 3
[[2,3,3,3,4],[3]] => 4
[[2,3,3,3,4],[4]] => 4
[[2,3,3,4,4],[3]] => 4
[[2,3,3,4,4],[4]] => 4
[[2,3,4,4,4],[3]] => 4
[[2,3,4,4,4],[4]] => 4
[[2,4,4,4,4],[3]] => 3
[[2,4,4,4,4],[4]] => 3
[[3,3,3,3,3],[4]] => 2
[[3,3,3,3,4],[4]] => 3
[[3,3,3,4,4],[4]] => 3
[[3,3,4,4,4],[4]] => 3
[[3,4,4,4,4],[4]] => 3
[[1,1,1,1],[2,4]] => 1
[[1,1,1,1],[3,4]] => 2
[[1,1,1,1],[4,4]] => 1
[[1,1,1,2],[2,4]] => 2
[[1,1,1,4],[2,2]] => 1
[[1,1,1,2],[3,4]] => 3
[[1,1,1,3],[2,4]] => 2
[[1,1,1,4],[2,3]] => 2
[[1,1,1,2],[4,4]] => 2
[[1,1,1,4],[2,4]] => 2
[[1,1,1,3],[3,4]] => 3
[[1,1,1,4],[3,3]] => 2
[[1,1,1,3],[4,4]] => 2
[[1,1,1,4],[3,4]] => 3
[[1,1,1,4],[4,4]] => 2
[[1,1,2,2],[2,4]] => 2
[[1,1,2,4],[2,2]] => 2
[[1,1,2,2],[3,4]] => 3
[[1,1,2,3],[2,4]] => 3
[[1,1,2,4],[2,3]] => 3
[[1,1,3,4],[2,2]] => 2
[[1,1,2,2],[4,4]] => 2
[[1,1,2,4],[2,4]] => 3
[[1,1,4,4],[2,2]] => 1
[[1,1,2,3],[3,4]] => 4
[[1,1,2,4],[3,3]] => 3
[[1,1,3,3],[2,4]] => 2
[[1,1,3,4],[2,3]] => 3
[[1,1,2,3],[4,4]] => 3
[[1,1,2,4],[3,4]] => 4
[[1,1,3,4],[2,4]] => 3
[[1,1,4,4],[2,3]] => 2
[[1,1,2,4],[4,4]] => 3
[[1,1,4,4],[2,4]] => 2
[[1,1,3,3],[3,4]] => 3
[[1,1,3,4],[3,3]] => 3
[[1,1,3,3],[4,4]] => 2
[[1,1,3,4],[3,4]] => 4
[[1,1,4,4],[3,3]] => 2
[[1,1,3,4],[4,4]] => 3
[[1,1,4,4],[3,4]] => 3
[[1,1,4,4],[4,4]] => 2
[[1,2,2,2],[2,4]] => 2
[[1,2,2,2],[3,4]] => 3
[[1,2,2,3],[2,4]] => 3
[[1,2,2,4],[2,3]] => 3
[[1,2,2,2],[4,4]] => 2
[[1,2,2,4],[2,4]] => 3
[[1,2,2,3],[3,4]] => 4
[[1,2,2,4],[3,3]] => 3
[[1,2,3,3],[2,4]] => 3
[[1,2,3,4],[2,3]] => 4
[[1,2,2,3],[4,4]] => 3
[[1,2,2,4],[3,4]] => 4
[[1,2,3,4],[2,4]] => 4
[[1,2,4,4],[2,3]] => 3
[[1,2,2,4],[4,4]] => 3
[[1,2,4,4],[2,4]] => 3
[[1,2,3,3],[3,4]] => 4
[[1,2,3,4],[3,3]] => 4
[[1,3,3,3],[2,4]] => 2
[[1,2,3,3],[4,4]] => 3
[[1,2,3,4],[3,4]] => 5
[[1,2,4,4],[3,3]] => 3
[[1,3,3,4],[2,4]] => 3
[[1,2,3,4],[4,4]] => 4
[[1,2,4,4],[3,4]] => 4
[[1,3,4,4],[2,4]] => 3
[[1,2,4,4],[4,4]] => 3
[[1,3,3,3],[3,4]] => 3
[[1,3,3,3],[4,4]] => 2
[[1,3,3,4],[3,4]] => 4
[[1,3,3,4],[4,4]] => 3
[[1,3,4,4],[3,4]] => 4
[[1,3,4,4],[4,4]] => 3
[[2,2,2,2],[3,4]] => 3
[[2,2,2,2],[4,4]] => 2
[[2,2,2,3],[3,4]] => 4
[[2,2,2,4],[3,3]] => 3
[[2,2,2,3],[4,4]] => 3
[[2,2,2,4],[3,4]] => 4
[[2,2,2,4],[4,4]] => 3
[[2,2,3,3],[3,4]] => 4
[[2,2,3,4],[3,3]] => 4
[[2,2,3,3],[4,4]] => 3
[[2,2,3,4],[3,4]] => 5
[[2,2,4,4],[3,3]] => 3
[[2,2,3,4],[4,4]] => 4
[[2,2,4,4],[3,4]] => 4
[[2,2,4,4],[4,4]] => 3
[[2,3,3,3],[3,4]] => 4
[[2,3,3,3],[4,4]] => 3
[[2,3,3,4],[3,4]] => 5
[[2,3,3,4],[4,4]] => 4
[[2,3,4,4],[3,4]] => 5
[[2,3,4,4],[4,4]] => 4
[[3,3,3,3],[4,4]] => 2
[[3,3,3,4],[4,4]] => 3
[[3,3,4,4],[4,4]] => 3
[[1,1,1,1],[2],[4]] => 1
[[1,1,1,1],[3],[4]] => 2
[[1,1,1,2],[2],[4]] => 2
[[1,1,1,2],[3],[4]] => 3
[[1,1,1,3],[2],[4]] => 2
[[1,1,1,4],[2],[3]] => 1
[[1,1,1,4],[2],[4]] => 2
[[1,1,1,3],[3],[4]] => 3
[[1,1,1,4],[3],[4]] => 3
[[1,1,2,2],[2],[4]] => 2
[[1,1,2,2],[3],[4]] => 3
[[1,1,2,3],[2],[4]] => 3
[[1,1,2,4],[2],[3]] => 2
[[1,1,2,4],[2],[4]] => 3
[[1,1,2,3],[3],[4]] => 4
[[1,1,3,3],[2],[4]] => 2
[[1,1,3,4],[2],[3]] => 2
[[1,1,2,4],[3],[4]] => 4
[[1,1,3,4],[2],[4]] => 3
[[1,1,4,4],[2],[3]] => 1
[[1,1,4,4],[2],[4]] => 2
[[1,1,3,3],[3],[4]] => 3
[[1,1,3,4],[3],[4]] => 4
[[1,1,4,4],[3],[4]] => 3
[[1,2,2,2],[2],[4]] => 2
[[1,2,2,2],[3],[4]] => 3
[[1,2,2,3],[2],[4]] => 3
[[1,2,2,4],[2],[3]] => 2
[[1,2,2,4],[2],[4]] => 3
[[1,2,2,3],[3],[4]] => 4
[[1,2,3,3],[2],[4]] => 3
[[1,2,3,4],[2],[3]] => 3
[[1,2,2,4],[3],[4]] => 4
[[1,2,3,4],[2],[4]] => 4
[[1,2,4,4],[2],[3]] => 2
[[1,2,4,4],[2],[4]] => 3
[[1,2,3,3],[3],[4]] => 4
[[1,3,3,3],[2],[4]] => 2
[[1,3,3,4],[2],[3]] => 2
[[1,2,3,4],[3],[4]] => 5
[[1,3,3,4],[2],[4]] => 3
[[1,3,4,4],[2],[3]] => 2
[[1,2,4,4],[3],[4]] => 4
[[1,3,4,4],[2],[4]] => 3
[[1,4,4,4],[2],[3]] => 1
[[1,4,4,4],[2],[4]] => 2
[[1,3,3,3],[3],[4]] => 3
[[1,3,3,4],[3],[4]] => 4
[[1,3,4,4],[3],[4]] => 4
[[1,4,4,4],[3],[4]] => 3
[[2,2,2,2],[3],[4]] => 3
[[2,2,2,3],[3],[4]] => 4
[[2,2,2,4],[3],[4]] => 4
[[2,2,3,3],[3],[4]] => 4
[[2,2,3,4],[3],[4]] => 5
[[2,2,4,4],[3],[4]] => 4
[[2,3,3,3],[3],[4]] => 4
[[2,3,3,4],[3],[4]] => 5
[[2,3,4,4],[3],[4]] => 5
[[2,4,4,4],[3],[4]] => 4
[[1,1,1],[2,2,4]] => 1
[[1,1,1],[2,3,4]] => 2
[[1,1,1],[2,4,4]] => 1
[[1,1,1],[3,3,4]] => 2
[[1,1,1],[3,4,4]] => 2
[[1,1,1],[4,4,4]] => 1
[[1,1,2],[2,2,4]] => 2
[[1,1,2],[2,3,4]] => 3
[[1,1,3],[2,2,4]] => 2
[[1,1,2],[2,4,4]] => 2
[[1,1,2],[3,3,4]] => 3
[[1,1,3],[2,3,4]] => 3
[[1,1,2],[3,4,4]] => 3
[[1,1,3],[2,4,4]] => 2
[[1,1,2],[4,4,4]] => 2
[[1,1,3],[3,3,4]] => 3
[[1,1,3],[3,4,4]] => 3
[[1,1,3],[4,4,4]] => 2
[[1,2,2],[2,3,4]] => 3
[[1,2,2],[2,4,4]] => 2
[[1,2,2],[3,3,4]] => 3
[[1,2,3],[2,3,4]] => 4
[[1,2,2],[3,4,4]] => 3
[[1,2,3],[2,4,4]] => 3
[[1,2,2],[4,4,4]] => 2
[[1,2,3],[3,3,4]] => 4
[[1,2,3],[3,4,4]] => 4
[[1,3,3],[2,4,4]] => 2
[[1,2,3],[4,4,4]] => 3
[[1,3,3],[3,4,4]] => 3
[[1,3,3],[4,4,4]] => 2
[[2,2,2],[3,3,4]] => 3
[[2,2,2],[3,4,4]] => 3
[[2,2,2],[4,4,4]] => 2
[[2,2,3],[3,3,4]] => 4
[[2,2,3],[3,4,4]] => 4
[[2,2,3],[4,4,4]] => 3
[[2,3,3],[3,4,4]] => 4
[[2,3,3],[4,4,4]] => 3
[[3,3,3],[4,4,4]] => 2
[[1,1,1],[2,2],[4]] => 1
[[1,1,1],[2,3],[4]] => 2
[[1,1,1],[2,4],[3]] => 1
[[1,1,1],[2,4],[4]] => 2
[[1,1,1],[3,3],[4]] => 2
[[1,1,1],[3,4],[4]] => 3
[[1,1,2],[2,2],[4]] => 2
[[1,1,2],[2,3],[4]] => 3
[[1,1,2],[2,4],[3]] => 2
[[1,1,3],[2,2],[4]] => 2
[[1,1,4],[2,2],[3]] => 1
[[1,1,2],[2,4],[4]] => 3
[[1,1,4],[2,2],[4]] => 2
[[1,1,2],[3,3],[4]] => 3
[[1,1,3],[2,3],[4]] => 3
[[1,1,3],[2,4],[3]] => 2
[[1,1,4],[2,3],[3]] => 2
[[1,1,2],[3,4],[4]] => 4
[[1,1,3],[2,4],[4]] => 3
[[1,1,4],[2,3],[4]] => 3
[[1,1,4],[2,4],[3]] => 2
[[1,1,4],[2,4],[4]] => 3
[[1,1,3],[3,3],[4]] => 3
[[1,1,3],[3,4],[4]] => 4
[[1,1,4],[3,3],[4]] => 3
[[1,1,4],[3,4],[4]] => 4
[[1,2,2],[2,3],[4]] => 3
[[1,2,2],[2,4],[3]] => 2
[[1,2,2],[2,4],[4]] => 3
[[1,2,2],[3,3],[4]] => 3
[[1,2,3],[2,3],[4]] => 4
[[1,2,3],[2,4],[3]] => 3
[[1,2,4],[2,3],[3]] => 3
[[1,2,2],[3,4],[4]] => 4
[[1,2,3],[2,4],[4]] => 4
[[1,2,4],[2,3],[4]] => 4
[[1,2,4],[2,4],[3]] => 3
[[1,2,4],[2,4],[4]] => 4
[[1,2,3],[3,3],[4]] => 4
[[1,3,3],[2,4],[3]] => 2
[[1,2,3],[3,4],[4]] => 5
[[1,2,4],[3,3],[4]] => 4
[[1,3,3],[2,4],[4]] => 3
[[1,3,4],[2,4],[3]] => 3
[[1,2,4],[3,4],[4]] => 5
[[1,3,4],[2,4],[4]] => 4
[[1,3,3],[3,4],[4]] => 4
[[1,3,4],[3,4],[4]] => 5
[[2,2,2],[3,3],[4]] => 3
[[2,2,2],[3,4],[4]] => 4
[[2,2,3],[3,3],[4]] => 4
[[2,2,3],[3,4],[4]] => 5
[[2,2,4],[3,3],[4]] => 4
[[2,2,4],[3,4],[4]] => 5
[[2,3,3],[3,4],[4]] => 5
[[2,3,4],[3,4],[4]] => 6
[[1,1,1],[2],[3],[4]] => 0
[[1,1,2],[2],[3],[4]] => 1
[[1,1,3],[2],[3],[4]] => 1
[[1,1,4],[2],[3],[4]] => 1
[[1,2,2],[2],[3],[4]] => 1
[[1,2,3],[2],[3],[4]] => 2
[[1,2,4],[2],[3],[4]] => 2
[[1,3,3],[2],[3],[4]] => 1
[[1,3,4],[2],[3],[4]] => 2
[[1,4,4],[2],[3],[4]] => 1
[[1,1],[2,2],[3,4]] => 1
[[1,1],[2,2],[4,4]] => 1
[[1,1],[2,3],[3,4]] => 2
[[1,1],[2,3],[4,4]] => 2
[[1,1],[3,3],[4,4]] => 2
[[1,2],[2,3],[3,4]] => 3
[[1,2],[2,3],[4,4]] => 3
[[1,2],[3,3],[4,4]] => 3
[[2,2],[3,3],[4,4]] => 3
[[1,1],[2,2],[3],[4]] => 0
[[1,1],[2,3],[3],[4]] => 1
[[1,1],[2,4],[3],[4]] => 1
[[1,2],[2,3],[3],[4]] => 2
[[1,2],[2,4],[3],[4]] => 2
[[1,3],[2,4],[3],[4]] => 2
[[1,1,1,1,1,1,1]] => 0
[[1,1,1,1,1,1,2]] => 1
[[1,1,1,1,1,2,2]] => 1
[[1,1,1,1,2,2,2]] => 1
[[1,1,1,2,2,2,2]] => 1
[[1,1,2,2,2,2,2]] => 1
[[1,2,2,2,2,2,2]] => 1
[[2,2,2,2,2,2,2]] => 1
[[1,1,1,1,1,1],[2]] => 0
[[1,1,1,1,1,2],[2]] => 1
[[1,1,1,1,2,2],[2]] => 1
[[1,1,1,2,2,2],[2]] => 1
[[1,1,2,2,2,2],[2]] => 1
[[1,1,1,1,1,1,3]] => 1
[[1,1,1,1,1,2,3]] => 2
[[1,1,1,1,1,3,3]] => 1
[[1,1,1,1,2,2,3]] => 2
[[1,1,1,1,2,3,3]] => 2
[[1,1,1,1,3,3,3]] => 1
[[1,1,1,2,2,2,3]] => 2
[[1,1,1,2,2,3,3]] => 2
[[1,1,1,2,3,3,3]] => 2
[[1,1,1,3,3,3,3]] => 1
[[1,1,2,2,2,2,3]] => 2
[[1,1,2,2,2,3,3]] => 2
[[1,1,2,2,3,3,3]] => 2
[[1,1,2,3,3,3,3]] => 2
[[1,1,3,3,3,3,3]] => 1
[[1,2,2,2,2,2,3]] => 2
[[1,2,2,2,2,3,3]] => 2
[[1,2,2,2,3,3,3]] => 2
[[1,2,2,3,3,3,3]] => 2
[[1,2,3,3,3,3,3]] => 2
[[1,3,3,3,3,3,3]] => 1
[[2,2,2,2,2,2,3]] => 2
[[2,2,2,2,2,3,3]] => 2
[[2,2,2,2,3,3,3]] => 2
[[2,2,2,3,3,3,3]] => 2
[[2,2,3,3,3,3,3]] => 2
[[2,3,3,3,3,3,3]] => 2
[[3,3,3,3,3,3,3]] => 1
[[1,1,1,1,1,1],[3]] => 1
[[1,1,1,1,1,2],[3]] => 2
[[1,1,1,1,1,3],[2]] => 1
[[1,1,1,1,1,3],[3]] => 2
[[1,1,1,1,2,2],[3]] => 2
[[1,1,1,1,2,3],[2]] => 2
[[1,1,1,1,2,3],[3]] => 3
[[1,1,1,1,3,3],[2]] => 1
[[1,1,1,1,3,3],[3]] => 2
[[1,1,1,2,2,2],[3]] => 2
[[1,1,1,2,2,3],[2]] => 2
[[1,1,1,2,2,3],[3]] => 3
[[1,1,1,2,3,3],[2]] => 2
[[1,1,1,2,3,3],[3]] => 3
[[1,1,1,3,3,3],[2]] => 1
[[1,1,1,3,3,3],[3]] => 2
[[1,1,2,2,2,2],[3]] => 2
[[1,1,2,2,2,3],[2]] => 2
[[1,1,2,2,2,3],[3]] => 3
[[1,1,2,2,3,3],[2]] => 2
[[1,1,2,2,3,3],[3]] => 3
[[1,1,2,3,3,3],[2]] => 2
[[1,1,1,1,1,1,4]] => 1
[[1,1,1,1,1,2,4]] => 2
[[1,1,1,1,1,3,4]] => 2
[[1,1,1,1,1,4,4]] => 1
[[1,1,1,1,2,2,4]] => 2
[[1,1,1,1,2,3,4]] => 3
[[1,1,1,1,2,4,4]] => 2
[[1,1,1,1,3,3,4]] => 2
[[1,1,1,1,3,4,4]] => 2
[[1,1,1,1,4,4,4]] => 1
[[1,1,1,2,2,2,4]] => 2
[[1,1,1,2,2,3,4]] => 3
[[1,1,1,2,2,4,4]] => 2
[[1,1,1,2,3,3,4]] => 3
[[1,1,1,2,3,4,4]] => 3
[[1,1,1,2,4,4,4]] => 2
[[1,1,1,3,3,3,4]] => 2
[[1,1,1,3,3,4,4]] => 2
[[1,1,1,3,4,4,4]] => 2
[[1,1,1,4,4,4,4]] => 1
[[1,1,2,2,2,2,4]] => 2
[[1,1,2,2,2,3,4]] => 3
[[1,1,2,2,2,4,4]] => 2
[[1,1,2,2,3,3,4]] => 3
[[1,1,2,2,3,4,4]] => 3
[[1,1,2,2,4,4,4]] => 2
[[1,1,2,3,3,3,4]] => 3
[[1,1,2,3,3,4,4]] => 3
[[1,1,2,3,4,4,4]] => 3
[[1,1,2,4,4,4,4]] => 2
[[1,1,3,3,3,3,4]] => 2
[[1,1,3,3,3,4,4]] => 2
[[1,1,3,3,4,4,4]] => 2
[[1,1,3,4,4,4,4]] => 2
[[1,1,4,4,4,4,4]] => 1
[[1,2,2,2,2,2,4]] => 2
[[1,2,2,2,2,3,4]] => 3
[[1,2,2,2,2,4,4]] => 2
[[1,2,2,2,3,3,4]] => 3
[[1,2,2,2,3,4,4]] => 3
[[1,2,2,2,4,4,4]] => 2
[[1,2,2,3,3,3,4]] => 3
[[1,2,2,3,3,4,4]] => 3
[[1,2,2,3,4,4,4]] => 3
[[1,2,2,4,4,4,4]] => 2
[[1,2,3,3,3,3,4]] => 3
[[1,2,3,3,3,4,4]] => 3
[[1,2,3,3,4,4,4]] => 3
[[1,2,3,4,4,4,4]] => 3
[[1,2,4,4,4,4,4]] => 2
[[1,3,3,3,3,3,4]] => 2
[[1,3,3,3,3,4,4]] => 2
[[1,3,3,3,4,4,4]] => 2
[[1,3,3,4,4,4,4]] => 2
[[1,3,4,4,4,4,4]] => 2
[[1,4,4,4,4,4,4]] => 1
[[2,2,2,2,2,2,4]] => 2
[[2,2,2,2,2,3,4]] => 3
[[2,2,2,2,2,4,4]] => 2
[[2,2,2,2,3,3,4]] => 3
[[2,2,2,2,3,4,4]] => 3
[[2,2,2,2,4,4,4]] => 2
[[2,2,2,3,3,3,4]] => 3
[[2,2,2,3,3,4,4]] => 3
[[2,2,2,3,4,4,4]] => 3
[[2,2,2,4,4,4,4]] => 2
[[2,2,3,3,3,3,4]] => 3
[[2,2,3,3,3,4,4]] => 3
[[2,2,3,3,4,4,4]] => 3
[[2,2,3,4,4,4,4]] => 3
[[2,2,4,4,4,4,4]] => 2
[[2,3,3,3,3,3,4]] => 3
[[2,3,3,3,3,4,4]] => 3
[[2,3,3,3,4,4,4]] => 3
[[2,3,3,4,4,4,4]] => 3
[[2,3,4,4,4,4,4]] => 3
[[2,4,4,4,4,4,4]] => 2
[[3,3,3,3,3,3,4]] => 2
[[3,3,3,3,3,4,4]] => 2
[[3,3,3,3,4,4,4]] => 2
[[3,3,3,4,4,4,4]] => 2
[[3,3,4,4,4,4,4]] => 2
[[3,4,4,4,4,4,4]] => 2
[[4,4,4,4,4,4,4]] => 1
[[1,1,1,1,1,1],[4]] => 1
[[1,1,1,1,1,2],[4]] => 2
[[1,1,1,1,1,4],[2]] => 1
[[1,1,1,1,1,3],[4]] => 2
[[1,1,1,1,1,4],[3]] => 2
[[1,1,1,1,1,4],[4]] => 2
[[1,1,1,1,2,2],[4]] => 2
[[1,1,1,1,2,4],[2]] => 2
[[1,1,1,1,2,3],[4]] => 3
[[1,1,1,1,2,4],[3]] => 3
[[1,1,1,1,3,4],[2]] => 2
[[1,1,1,1,2,4],[4]] => 3
[[1,1,1,1,4,4],[2]] => 1
[[1,1,1,1,3,3],[4]] => 2
[[1,1,1,1,3,4],[3]] => 3
[[1,1,1,1,3,4],[4]] => 3
[[1,1,1,1,4,4],[3]] => 2
[[1,1,1,1,4,4],[4]] => 2
[[1,1,1,2,2,2],[4]] => 2
[[1,1,1,2,2,4],[2]] => 2
[[1,1,1,2,2,3],[4]] => 3
[[1,1,1,2,2,4],[3]] => 3
[[1,1,1,2,3,4],[2]] => 3
[[1,1,1,2,2,4],[4]] => 3
[[1,1,1,2,4,4],[2]] => 2
[[1,1,1,2,3,3],[4]] => 3
[[1,1,1,2,3,4],[3]] => 4
[[1,1,1,3,3,4],[2]] => 2
[[1,1,1,2,3,4],[4]] => 4
[[1,1,1,2,4,4],[3]] => 3
[[1,1,1,3,4,4],[2]] => 2
[[1,1,1,2,4,4],[4]] => 3
[[1,1,1,4,4,4],[2]] => 1
[[1,1,1,3,3,3],[4]] => 2
[[1,1,1,3,3,4],[3]] => 3
[[1,1,1,3,3,4],[4]] => 3
[[1,1,1,3,4,4],[3]] => 3
[[1,1,1,3,4,4],[4]] => 3
[[1,1,1,4,4,4],[3]] => 2
[[1,1,1,4,4,4],[4]] => 2
[[1,1,2,2,2,2],[4]] => 2
[[1,1,2,2,2,4],[2]] => 2
[[1,1,2,2,2,3],[4]] => 3
[[1,1,2,2,2,4],[3]] => 3
[[1,1,2,2,3,4],[2]] => 3
[[1,1,2,2,2,4],[4]] => 3
[[1,1,2,2,4,4],[2]] => 2
[[1,1,2,2,3,3],[4]] => 3
[[1,1,2,2,3,4],[3]] => 4
[[1,1,2,3,3,4],[2]] => 3
[[1,1,2,2,3,4],[4]] => 4
[[1,1,2,2,4,4],[3]] => 3
[[1,1,2,3,4,4],[2]] => 3
-----------------------------------------------------------------------------
Created: Jan 13, 2014 at 21:21 by Ben Salisbury
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Last Updated: Oct 19, 2015 at 16:36 by Christian Stump