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Identifier
Values
=>
Cc0019;cc-rep
[[1]]=>0 [[2]]=>0 [[3]]=>0 [[4]]=>0 [[1,1]]=>0 [[1,2]]=>0 [[2,2]]=>0 [[1],[2]]=>1 [[1,3]]=>0 [[2,3]]=>0 [[3,3]]=>0 [[1],[3]]=>1 [[2],[3]]=>1 [[1,4]]=>0 [[2,4]]=>0 [[3,4]]=>0 [[4,4]]=>0 [[1],[4]]=>1 [[2],[4]]=>1 [[3],[4]]=>1 [[1,1,1]]=>0 [[1,1,2]]=>0 [[1,2,2]]=>0 [[2,2,2]]=>0 [[1,1],[2]]=>1 [[1,2],[2]]=>1 [[1,1,3]]=>0 [[1,2,3]]=>0 [[1,3,3]]=>0 [[2,2,3]]=>0 [[2,3,3]]=>0 [[3,3,3]]=>0 [[1,1],[3]]=>1 [[1,2],[3]]=>1 [[1,3],[2]]=>1 [[1,3],[3]]=>1 [[2,2],[3]]=>1 [[2,3],[3]]=>1 [[1],[2],[3]]=>3 [[1,1,4]]=>0 [[1,2,4]]=>0 [[1,3,4]]=>0 [[1,4,4]]=>0 [[2,2,4]]=>0 [[2,3,4]]=>0 [[2,4,4]]=>0 [[3,3,4]]=>0 [[3,4,4]]=>0 [[4,4,4]]=>0 [[1,1],[4]]=>1 [[1,2],[4]]=>1 [[1,4],[2]]=>1 [[1,3],[4]]=>1 [[1,4],[3]]=>1 [[1,4],[4]]=>1 [[2,2],[4]]=>1 [[2,3],[4]]=>1 [[2,4],[3]]=>1 [[2,4],[4]]=>1 [[3,3],[4]]=>1 [[3,4],[4]]=>1 [[1],[2],[4]]=>3 [[1],[3],[4]]=>3 [[2],[3],[4]]=>3 [[1,1,1,1]]=>0 [[1,1,1,2]]=>0 [[1,1,2,2]]=>0 [[1,2,2,2]]=>0 [[2,2,2,2]]=>0 [[1,1,1],[2]]=>1 [[1,1,2],[2]]=>1 [[1,2,2],[2]]=>1 [[1,1],[2,2]]=>2 [[1,1,1,3]]=>0 [[1,1,2,3]]=>0 [[1,1,3,3]]=>0 [[1,2,2,3]]=>0 [[1,2,3,3]]=>0 [[1,3,3,3]]=>0 [[2,2,2,3]]=>0 [[2,2,3,3]]=>0 [[2,3,3,3]]=>0 [[3,3,3,3]]=>0 [[1,1,1],[3]]=>1 [[1,1,2],[3]]=>1 [[1,1,3],[2]]=>1 [[1,1,3],[3]]=>1 [[1,2,2],[3]]=>1 [[1,2,3],[2]]=>1 [[1,2,3],[3]]=>1 [[1,3,3],[2]]=>1 [[1,3,3],[3]]=>1 [[2,2,2],[3]]=>1 [[2,2,3],[3]]=>1 [[2,3,3],[3]]=>1 [[1,1],[2,3]]=>2 [[1,1],[3,3]]=>2 [[1,2],[2,3]]=>2 [[1,2],[3,3]]=>2 [[2,2],[3,3]]=>2 [[1,1],[2],[3]]=>3 [[1,2],[2],[3]]=>3 [[1,3],[2],[3]]=>3 [[1,1,1,4]]=>0 [[1,1,2,4]]=>0 [[1,1,3,4]]=>0 [[1,1,4,4]]=>0 [[1,2,2,4]]=>0 [[1,2,3,4]]=>0 [[1,2,4,4]]=>0 [[1,3,3,4]]=>0 [[1,3,4,4]]=>0 [[1,4,4,4]]=>0 [[2,2,2,4]]=>0 [[2,2,3,4]]=>0 [[2,2,4,4]]=>0 [[2,3,3,4]]=>0 [[2,3,4,4]]=>0 [[2,4,4,4]]=>0 [[3,3,3,4]]=>0 [[3,3,4,4]]=>0 [[3,4,4,4]]=>0 [[4,4,4,4]]=>0 [[1,1,1],[4]]=>1 [[1,1,2],[4]]=>1 [[1,1,4],[2]]=>1 [[1,1,3],[4]]=>1 [[1,1,4],[3]]=>1 [[1,1,4],[4]]=>1 [[1,2,2],[4]]=>1 [[1,2,4],[2]]=>1 [[1,2,3],[4]]=>1 [[1,2,4],[3]]=>1 [[1,3,4],[2]]=>1 [[1,2,4],[4]]=>1 [[1,4,4],[2]]=>1 [[1,3,3],[4]]=>1 [[1,3,4],[3]]=>1 [[1,3,4],[4]]=>1 [[1,4,4],[3]]=>1 [[1,4,4],[4]]=>1 [[2,2,2],[4]]=>1 [[2,2,3],[4]]=>1 [[2,2,4],[3]]=>1 [[2,2,4],[4]]=>1 [[2,3,3],[4]]=>1 [[2,3,4],[3]]=>1 [[2,3,4],[4]]=>1 [[2,4,4],[3]]=>1 [[2,4,4],[4]]=>1 [[3,3,3],[4]]=>1 [[3,3,4],[4]]=>1 [[3,4,4],[4]]=>1 [[1,1],[2,4]]=>2 [[1,1],[3,4]]=>2 [[1,1],[4,4]]=>2 [[1,2],[2,4]]=>2 [[1,2],[3,4]]=>2 [[1,3],[2,4]]=>2 [[1,2],[4,4]]=>2 [[1,3],[3,4]]=>2 [[1,3],[4,4]]=>2 [[2,2],[3,4]]=>2 [[2,2],[4,4]]=>2 [[2,3],[3,4]]=>2 [[2,3],[4,4]]=>2 [[3,3],[4,4]]=>2 [[1,1],[2],[4]]=>3 [[1,1],[3],[4]]=>3 [[1,2],[2],[4]]=>3 [[1,2],[3],[4]]=>3 [[1,3],[2],[4]]=>3 [[1,4],[2],[3]]=>3 [[1,4],[2],[4]]=>3 [[1,3],[3],[4]]=>3 [[1,4],[3],[4]]=>3 [[2,2],[3],[4]]=>3 [[2,3],[3],[4]]=>3 [[2,4],[3],[4]]=>3 [[1],[2],[3],[4]]=>6 [[1,1,1,1,1]]=>0 [[1,1,1,1,2]]=>0 [[1,1,1,2,2]]=>0 [[1,1,2,2,2]]=>0 [[1,2,2,2,2]]=>0 [[2,2,2,2,2]]=>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 [[1,1,1],[2,2]]=>2 [[1,1,2],[2,2]]=>2 [[1,1,1,1,3]]=>0 [[1,1,1,2,3]]=>0 [[1,1,1,3,3]]=>0 [[1,1,2,2,3]]=>0 [[1,1,2,3,3]]=>0 [[1,1,3,3,3]]=>0 [[1,2,2,2,3]]=>0 [[1,2,2,3,3]]=>0 [[1,2,3,3,3]]=>0 [[1,3,3,3,3]]=>0 [[2,2,2,2,3]]=>0 [[2,2,2,3,3]]=>0 [[2,2,3,3,3]]=>0 [[2,3,3,3,3]]=>0 [[3,3,3,3,3]]=>0 [[1,1,1,1],[3]]=>1 [[1,1,1,2],[3]]=>1 [[1,1,1,3],[2]]=>1 [[1,1,1,3],[3]]=>1 [[1,1,2,2],[3]]=>1 [[1,1,2,3],[2]]=>1 [[1,1,2,3],[3]]=>1 [[1,1,3,3],[2]]=>1 [[1,1,3,3],[3]]=>1 [[1,2,2,2],[3]]=>1 [[1,2,2,3],[2]]=>1 [[1,2,2,3],[3]]=>1 [[1,2,3,3],[2]]=>1 [[1,2,3,3],[3]]=>1 [[1,3,3,3],[2]]=>1 [[1,3,3,3],[3]]=>1 [[2,2,2,2],[3]]=>1 [[2,2,2,3],[3]]=>1 [[2,2,3,3],[3]]=>1 [[2,3,3,3],[3]]=>1 [[1,1,1],[2,3]]=>2 [[1,1,1],[3,3]]=>2 [[1,1,2],[2,3]]=>2 [[1,1,3],[2,2]]=>2 [[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]]=>2 [[1,2,3],[3,3]]=>2 [[2,2,2],[3,3]]=>2 [[2,2,3],[3,3]]=>2 [[1,1,1],[2],[3]]=>3 [[1,1,2],[2],[3]]=>3 [[1,1,3],[2],[3]]=>3 [[1,2,2],[2],[3]]=>3 [[1,2,3],[2],[3]]=>3 [[1,3,3],[2],[3]]=>3 [[1,1],[2,2],[3]]=>4 [[1,1],[2,3],[3]]=>4 [[1,2],[2,3],[3]]=>4 [[1,1,1,1,4]]=>0 [[1,1,1,2,4]]=>0 [[1,1,1,3,4]]=>0 [[1,1,1,4,4]]=>0 [[1,1,2,2,4]]=>0 [[1,1,2,3,4]]=>0 [[1,1,2,4,4]]=>0 [[1,1,3,3,4]]=>0 [[1,1,3,4,4]]=>0 [[1,1,4,4,4]]=>0 [[1,2,2,2,4]]=>0 [[1,2,2,3,4]]=>0 [[1,2,2,4,4]]=>0 [[1,2,3,3,4]]=>0 [[1,2,3,4,4]]=>0 [[1,2,4,4,4]]=>0 [[1,3,3,3,4]]=>0 [[1,3,3,4,4]]=>0 [[1,3,4,4,4]]=>0 [[1,4,4,4,4]]=>0 [[2,2,2,2,4]]=>0 [[2,2,2,3,4]]=>0 [[2,2,2,4,4]]=>0 [[2,2,3,3,4]]=>0 [[2,2,3,4,4]]=>0 [[2,2,4,4,4]]=>0 [[2,3,3,3,4]]=>0 [[2,3,3,4,4]]=>0 [[2,3,4,4,4]]=>0 [[2,4,4,4,4]]=>0 [[3,3,3,3,4]]=>0 [[3,3,3,4,4]]=>0 [[3,3,4,4,4]]=>0 [[3,4,4,4,4]]=>0 [[4,4,4,4,4]]=>0 [[1,1,1,1],[4]]=>1 [[1,1,1,2],[4]]=>1 [[1,1,1,4],[2]]=>1 [[1,1,1,3],[4]]=>1 [[1,1,1,4],[3]]=>1 [[1,1,1,4],[4]]=>1 [[1,1,2,2],[4]]=>1 [[1,1,2,4],[2]]=>1 [[1,1,2,3],[4]]=>1 [[1,1,2,4],[3]]=>1 [[1,1,3,4],[2]]=>1 [[1,1,2,4],[4]]=>1 [[1,1,4,4],[2]]=>1 [[1,1,3,3],[4]]=>1 [[1,1,3,4],[3]]=>1 [[1,1,3,4],[4]]=>1 [[1,1,4,4],[3]]=>1 [[1,1,4,4],[4]]=>1 [[1,2,2,2],[4]]=>1 [[1,2,2,4],[2]]=>1 [[1,2,2,3],[4]]=>1 [[1,2,2,4],[3]]=>1 [[1,2,3,4],[2]]=>1 [[1,2,2,4],[4]]=>1 [[1,2,4,4],[2]]=>1 [[1,2,3,3],[4]]=>1 [[1,2,3,4],[3]]=>1 [[1,3,3,4],[2]]=>1 [[1,2,3,4],[4]]=>1 [[1,2,4,4],[3]]=>1 [[1,3,4,4],[2]]=>1 [[1,2,4,4],[4]]=>1 [[1,4,4,4],[2]]=>1 [[1,3,3,3],[4]]=>1 [[1,3,3,4],[3]]=>1 [[1,3,3,4],[4]]=>1 [[1,3,4,4],[3]]=>1 [[1,3,4,4],[4]]=>1 [[1,4,4,4],[3]]=>1 [[1,4,4,4],[4]]=>1 [[2,2,2,2],[4]]=>1 [[2,2,2,3],[4]]=>1 [[2,2,2,4],[3]]=>1 [[2,2,2,4],[4]]=>1 [[2,2,3,3],[4]]=>1 [[2,2,3,4],[3]]=>1 [[2,2,3,4],[4]]=>1 [[2,2,4,4],[3]]=>1 [[2,2,4,4],[4]]=>1 [[2,3,3,3],[4]]=>1 [[2,3,3,4],[3]]=>1 [[2,3,3,4],[4]]=>1 [[2,3,4,4],[3]]=>1 [[2,3,4,4],[4]]=>1 [[2,4,4,4],[3]]=>1 [[2,4,4,4],[4]]=>1 [[3,3,3,3],[4]]=>1 [[3,3,3,4],[4]]=>1 [[3,3,4,4],[4]]=>1 [[3,4,4,4],[4]]=>1 [[1,1,1],[2,4]]=>2 [[1,1,1],[3,4]]=>2 [[1,1,1],[4,4]]=>2 [[1,1,2],[2,4]]=>2 [[1,1,4],[2,2]]=>2 [[1,1,2],[3,4]]=>2 [[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]]=>2 [[1,1,4],[3,3]]=>2 [[1,1,3],[4,4]]=>2 [[1,1,4],[3,4]]=>2 [[1,1,4],[4,4]]=>2 [[1,2,2],[2,4]]=>2 [[1,2,2],[3,4]]=>2 [[1,2,3],[2,4]]=>2 [[1,2,4],[2,3]]=>2 [[1,2,2],[4,4]]=>2 [[1,2,4],[2,4]]=>2 [[1,2,3],[3,4]]=>2 [[1,2,4],[3,3]]=>2 [[1,3,3],[2,4]]=>2 [[1,2,3],[4,4]]=>2 [[1,2,4],[3,4]]=>2 [[1,3,4],[2,4]]=>2 [[1,2,4],[4,4]]=>2 [[1,3,3],[3,4]]=>2 [[1,3,3],[4,4]]=>2 [[1,3,4],[3,4]]=>2 [[1,3,4],[4,4]]=>2 [[2,2,2],[3,4]]=>2 [[2,2,2],[4,4]]=>2 [[2,2,3],[3,4]]=>2 [[2,2,4],[3,3]]=>2 [[2,2,3],[4,4]]=>2 [[2,2,4],[3,4]]=>2 [[2,2,4],[4,4]]=>2 [[2,3,3],[3,4]]=>2 [[2,3,3],[4,4]]=>2 [[2,3,4],[3,4]]=>2 [[2,3,4],[4,4]]=>2 [[3,3,3],[4,4]]=>2 [[3,3,4],[4,4]]=>2 [[1,1,1],[2],[4]]=>3 [[1,1,1],[3],[4]]=>3 [[1,1,2],[2],[4]]=>3 [[1,1,2],[3],[4]]=>3 [[1,1,3],[2],[4]]=>3 [[1,1,4],[2],[3]]=>3 [[1,1,4],[2],[4]]=>3 [[1,1,3],[3],[4]]=>3 [[1,1,4],[3],[4]]=>3 [[1,2,2],[2],[4]]=>3 [[1,2,2],[3],[4]]=>3 [[1,2,3],[2],[4]]=>3 [[1,2,4],[2],[3]]=>3 [[1,2,4],[2],[4]]=>3 [[1,2,3],[3],[4]]=>3 [[1,3,3],[2],[4]]=>3 [[1,3,4],[2],[3]]=>3 [[1,2,4],[3],[4]]=>3 [[1,3,4],[2],[4]]=>3 [[1,4,4],[2],[3]]=>3 [[1,4,4],[2],[4]]=>3 [[1,3,3],[3],[4]]=>3 [[1,3,4],[3],[4]]=>3 [[1,4,4],[3],[4]]=>3 [[2,2,2],[3],[4]]=>3 [[2,2,3],[3],[4]]=>3 [[2,2,4],[3],[4]]=>3 [[2,3,3],[3],[4]]=>3 [[2,3,4],[3],[4]]=>3 [[2,4,4],[3],[4]]=>3 [[1,1],[2,2],[4]]=>4 [[1,1],[2,3],[4]]=>4 [[1,1],[2,4],[3]]=>4 [[1,1],[2,4],[4]]=>4 [[1,1],[3,3],[4]]=>4 [[1,1],[3,4],[4]]=>4 [[1,2],[2,3],[4]]=>4 [[1,2],[2,4],[3]]=>4 [[1,2],[2,4],[4]]=>4 [[1,2],[3,3],[4]]=>4 [[1,3],[2,4],[3]]=>4 [[1,2],[3,4],[4]]=>4 [[1,3],[2,4],[4]]=>4 [[1,3],[3,4],[4]]=>4 [[2,2],[3,3],[4]]=>4 [[2,2],[3,4],[4]]=>4 [[2,3],[3,4],[4]]=>4 [[1,1],[2],[3],[4]]=>6 [[1,2],[2],[3],[4]]=>6 [[1,3],[2],[3],[4]]=>6 [[1,4],[2],[3],[4]]=>6 [[1,1,1,1,1,1]]=>0 [[1,1,1,1,1,2]]=>0 [[1,1,1,1,2,2]]=>0 [[1,1,1,2,2,2]]=>0 [[1,1,2,2,2,2]]=>0 [[1,2,2,2,2,2]]=>0 [[2,2,2,2,2,2]]=>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 [[1,1,1,1],[2,2]]=>2 [[1,1,1,2],[2,2]]=>2 [[1,1,2,2],[2,2]]=>2 [[1,1,1],[2,2,2]]=>3 [[1,1,1,1,1,3]]=>0 [[1,1,1,1,2,3]]=>0 [[1,1,1,1,3,3]]=>0 [[1,1,1,2,2,3]]=>0 [[1,1,1,2,3,3]]=>0 [[1,1,1,3,3,3]]=>0 [[1,1,2,2,2,3]]=>0 [[1,1,2,2,3,3]]=>0 [[1,1,2,3,3,3]]=>0 [[1,1,3,3,3,3]]=>0 [[1,2,2,2,2,3]]=>0 [[1,2,2,2,3,3]]=>0 [[1,2,2,3,3,3]]=>0 [[1,2,3,3,3,3]]=>0 [[1,3,3,3,3,3]]=>0 [[2,2,2,2,2,3]]=>0 [[2,2,2,2,3,3]]=>0 [[2,2,2,3,3,3]]=>0 [[2,2,3,3,3,3]]=>0 [[2,3,3,3,3,3]]=>0 [[3,3,3,3,3,3]]=>0 [[1,1,1,1,1],[3]]=>1 [[1,1,1,1,2],[3]]=>1 [[1,1,1,1,3],[2]]=>1 [[1,1,1,1,3],[3]]=>1 [[1,1,1,2,2],[3]]=>1 [[1,1,1,2,3],[2]]=>1 [[1,1,1,2,3],[3]]=>1 [[1,1,1,3,3],[2]]=>1 [[1,1,1,3,3],[3]]=>1 [[1,1,2,2,2],[3]]=>1 [[1,1,2,2,3],[2]]=>1 [[1,1,2,2,3],[3]]=>1 [[1,1,2,3,3],[2]]=>1 [[1,1,2,3,3],[3]]=>1 [[1,1,3,3,3],[2]]=>1 [[1,1,3,3,3],[3]]=>1 [[1,2,2,2,2],[3]]=>1 [[1,2,2,2,3],[2]]=>1 [[1,2,2,2,3],[3]]=>1 [[1,2,2,3,3],[2]]=>1 [[1,2,2,3,3],[3]]=>1 [[1,2,3,3,3],[2]]=>1 [[1,2,3,3,3],[3]]=>1 [[1,3,3,3,3],[2]]=>1 [[1,3,3,3,3],[3]]=>1 [[2,2,2,2,2],[3]]=>1 [[2,2,2,2,3],[3]]=>1 [[2,2,2,3,3],[3]]=>1 [[2,2,3,3,3],[3]]=>1 [[2,3,3,3,3],[3]]=>1 [[1,1,1,1],[2,3]]=>2 [[1,1,1,1],[3,3]]=>2 [[1,1,1,2],[2,3]]=>2 [[1,1,1,3],[2,2]]=>2 [[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]]=>2 [[1,1,3,3],[2,2]]=>2 [[1,1,2,3],[3,3]]=>2 [[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]]=>2 [[1,2,2,3],[3,3]]=>2 [[1,2,3,3],[2,3]]=>2 [[1,2,3,3],[3,3]]=>2 [[2,2,2,2],[3,3]]=>2 [[2,2,2,3],[3,3]]=>2 [[2,2,3,3],[3,3]]=>2 [[1,1,1,1],[2],[3]]=>3 [[1,1,1,2],[2],[3]]=>3 [[1,1,1,3],[2],[3]]=>3 [[1,1,2,2],[2],[3]]=>3 [[1,1,2,3],[2],[3]]=>3 [[1,1,3,3],[2],[3]]=>3 [[1,2,2,2],[2],[3]]=>3 [[1,2,2,3],[2],[3]]=>3 [[1,2,3,3],[2],[3]]=>3 [[1,3,3,3],[2],[3]]=>3 [[1,1,1],[2,2,3]]=>3 [[1,1,1],[2,3,3]]=>3 [[1,1,1],[3,3,3]]=>3 [[1,1,2],[2,2,3]]=>3 [[1,1,2],[2,3,3]]=>3 [[1,1,2],[3,3,3]]=>3 [[1,2,2],[2,3,3]]=>3 [[1,2,2],[3,3,3]]=>3 [[2,2,2],[3,3,3]]=>3 [[1,1,1],[2,2],[3]]=>4 [[1,1,1],[2,3],[3]]=>4 [[1,1,2],[2,2],[3]]=>4 [[1,1,2],[2,3],[3]]=>4 [[1,1,3],[2,2],[3]]=>4 [[1,1,3],[2,3],[3]]=>4 [[1,2,2],[2,3],[3]]=>4 [[1,2,3],[2,3],[3]]=>4 [[1,1],[2,2],[3,3]]=>6 [[1,1,1,1,1,4]]=>0 [[1,1,1,1,2,4]]=>0 [[1,1,1,1,3,4]]=>0 [[1,1,1,1,4,4]]=>0 [[1,1,1,2,2,4]]=>0 [[1,1,1,2,3,4]]=>0 [[1,1,1,2,4,4]]=>0 [[1,1,1,3,3,4]]=>0 [[1,1,1,3,4,4]]=>0 [[1,1,1,4,4,4]]=>0 [[1,1,2,2,2,4]]=>0 [[1,1,2,2,3,4]]=>0 [[1,1,2,2,4,4]]=>0 [[1,1,2,3,3,4]]=>0 [[1,1,2,3,4,4]]=>0 [[1,1,2,4,4,4]]=>0 [[1,1,3,3,3,4]]=>0 [[1,1,3,3,4,4]]=>0 [[1,1,3,4,4,4]]=>0 [[1,1,4,4,4,4]]=>0 [[1,2,2,2,2,4]]=>0 [[1,2,2,2,3,4]]=>0 [[1,2,2,2,4,4]]=>0 [[1,2,2,3,3,4]]=>0 [[1,2,2,3,4,4]]=>0 [[1,2,2,4,4,4]]=>0 [[1,2,3,3,3,4]]=>0 [[1,2,3,3,4,4]]=>0 [[1,2,3,4,4,4]]=>0 [[1,2,4,4,4,4]]=>0 [[1,3,3,3,3,4]]=>0 [[1,3,3,3,4,4]]=>0 [[1,3,3,4,4,4]]=>0 [[1,3,4,4,4,4]]=>0 [[1,4,4,4,4,4]]=>0 [[2,2,2,2,2,4]]=>0 [[2,2,2,2,3,4]]=>0 [[2,2,2,2,4,4]]=>0 [[2,2,2,3,3,4]]=>0 [[2,2,2,3,4,4]]=>0 [[2,2,2,4,4,4]]=>0 [[2,2,3,3,3,4]]=>0 [[2,2,3,3,4,4]]=>0 [[2,2,3,4,4,4]]=>0 [[2,2,4,4,4,4]]=>0 [[2,3,3,3,3,4]]=>0 [[2,3,3,3,4,4]]=>0 [[2,3,3,4,4,4]]=>0 [[2,3,4,4,4,4]]=>0 [[2,4,4,4,4,4]]=>0 [[3,3,3,3,3,4]]=>0 [[3,3,3,3,4,4]]=>0 [[3,3,3,4,4,4]]=>0 [[3,3,4,4,4,4]]=>0 [[3,4,4,4,4,4]]=>0 [[4,4,4,4,4,4]]=>0 [[1,1,1,1,1],[4]]=>1 [[1,1,1,1,2],[4]]=>1 [[1,1,1,1,4],[2]]=>1 [[1,1,1,1,3],[4]]=>1 [[1,1,1,1,4],[3]]=>1 [[1,1,1,1,4],[4]]=>1 [[1,1,1,2,2],[4]]=>1 [[1,1,1,2,4],[2]]=>1 [[1,1,1,2,3],[4]]=>1 [[1,1,1,2,4],[3]]=>1 [[1,1,1,3,4],[2]]=>1 [[1,1,1,2,4],[4]]=>1 [[1,1,1,4,4],[2]]=>1 [[1,1,1,3,3],[4]]=>1 [[1,1,1,3,4],[3]]=>1 [[1,1,1,3,4],[4]]=>1 [[1,1,1,4,4],[3]]=>1 [[1,1,1,4,4],[4]]=>1 [[1,1,2,2,2],[4]]=>1 [[1,1,2,2,4],[2]]=>1 [[1,1,2,2,3],[4]]=>1 [[1,1,2,2,4],[3]]=>1 [[1,1,2,3,4],[2]]=>1 [[1,1,2,2,4],[4]]=>1 [[1,1,2,4,4],[2]]=>1 [[1,1,2,3,3],[4]]=>1 [[1,1,2,3,4],[3]]=>1 [[1,1,3,3,4],[2]]=>1 [[1,1,2,3,4],[4]]=>1 [[1,1,2,4,4],[3]]=>1 [[1,1,3,4,4],[2]]=>1 [[1,1,2,4,4],[4]]=>1 [[1,1,4,4,4],[2]]=>1 [[1,1,3,3,3],[4]]=>1 [[1,1,3,3,4],[3]]=>1 [[1,1,3,3,4],[4]]=>1 [[1,1,3,4,4],[3]]=>1 [[1,1,3,4,4],[4]]=>1 [[1,1,4,4,4],[3]]=>1 [[1,1,4,4,4],[4]]=>1 [[1,2,2,2,2],[4]]=>1 [[1,2,2,2,4],[2]]=>1 [[1,2,2,2,3],[4]]=>1 [[1,2,2,2,4],[3]]=>1 [[1,2,2,3,4],[2]]=>1 [[1,2,2,2,4],[4]]=>1 [[1,2,2,4,4],[2]]=>1 [[1,2,2,3,3],[4]]=>1 [[1,2,2,3,4],[3]]=>1 [[1,2,3,3,4],[2]]=>1 [[1,2,2,3,4],[4]]=>1 [[1,2,2,4,4],[3]]=>1 [[1,2,3,4,4],[2]]=>1 [[1,2,2,4,4],[4]]=>1 [[1,2,4,4,4],[2]]=>1 [[1,2,3,3,3],[4]]=>1 [[1,2,3,3,4],[3]]=>1 [[1,3,3,3,4],[2]]=>1 [[1,2,3,3,4],[4]]=>1 [[1,2,3,4,4],[3]]=>1 [[1,3,3,4,4],[2]]=>1 [[1,2,3,4,4],[4]]=>1 [[1,2,4,4,4],[3]]=>1 [[1,3,4,4,4],[2]]=>1 [[1,2,4,4,4],[4]]=>1 [[1,4,4,4,4],[2]]=>1 [[1,3,3,3,3],[4]]=>1 [[1,3,3,3,4],[3]]=>1 [[1,3,3,3,4],[4]]=>1 [[1,3,3,4,4],[3]]=>1 [[1,3,3,4,4],[4]]=>1 [[1,3,4,4,4],[3]]=>1 [[1,3,4,4,4],[4]]=>1 [[1,4,4,4,4],[3]]=>1 [[1,4,4,4,4],[4]]=>1 [[2,2,2,2,2],[4]]=>1 [[2,2,2,2,3],[4]]=>1 [[2,2,2,2,4],[3]]=>1 [[2,2,2,2,4],[4]]=>1 [[2,2,2,3,3],[4]]=>1 [[2,2,2,3,4],[3]]=>1 [[2,2,2,3,4],[4]]=>1 [[2,2,2,4,4],[3]]=>1 [[2,2,2,4,4],[4]]=>1 [[2,2,3,3,3],[4]]=>1 [[2,2,3,3,4],[3]]=>1 [[2,2,3,3,4],[4]]=>1 [[2,2,3,4,4],[3]]=>1 [[2,2,3,4,4],[4]]=>1 [[2,2,4,4,4],[3]]=>1 [[2,2,4,4,4],[4]]=>1 [[2,3,3,3,3],[4]]=>1 [[2,3,3,3,4],[3]]=>1 [[2,3,3,3,4],[4]]=>1 [[2,3,3,4,4],[3]]=>1 [[2,3,3,4,4],[4]]=>1 [[2,3,4,4,4],[3]]=>1 [[2,3,4,4,4],[4]]=>1 [[2,4,4,4,4],[3]]=>1 [[2,4,4,4,4],[4]]=>1 [[3,3,3,3,3],[4]]=>1 [[3,3,3,3,4],[4]]=>1 [[3,3,3,4,4],[4]]=>1 [[3,3,4,4,4],[4]]=>1 [[3,4,4,4,4],[4]]=>1 [[1,1,1,1],[2,4]]=>2 [[1,1,1,1],[3,4]]=>2 [[1,1,1,1],[4,4]]=>2 [[1,1,1,2],[2,4]]=>2 [[1,1,1,4],[2,2]]=>2 [[1,1,1,2],[3,4]]=>2 [[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]]=>2 [[1,1,1,4],[3,3]]=>2 [[1,1,1,3],[4,4]]=>2 [[1,1,1,4],[3,4]]=>2 [[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]]=>2 [[1,1,2,3],[2,4]]=>2 [[1,1,2,4],[2,3]]=>2 [[1,1,3,4],[2,2]]=>2 [[1,1,2,2],[4,4]]=>2 [[1,1,2,4],[2,4]]=>2 [[1,1,4,4],[2,2]]=>2 [[1,1,2,3],[3,4]]=>2 [[1,1,2,4],[3,3]]=>2 [[1,1,3,3],[2,4]]=>2 [[1,1,3,4],[2,3]]=>2 [[1,1,2,3],[4,4]]=>2 [[1,1,2,4],[3,4]]=>2 [[1,1,3,4],[2,4]]=>2 [[1,1,4,4],[2,3]]=>2 [[1,1,2,4],[4,4]]=>2 [[1,1,4,4],[2,4]]=>2 [[1,1,3,3],[3,4]]=>2 [[1,1,3,4],[3,3]]=>2 [[1,1,3,3],[4,4]]=>2 [[1,1,3,4],[3,4]]=>2 [[1,1,4,4],[3,3]]=>2 [[1,1,3,4],[4,4]]=>2 [[1,1,4,4],[3,4]]=>2 [[1,1,4,4],[4,4]]=>2 [[1,2,2,2],[2,4]]=>2 [[1,2,2,2],[3,4]]=>2 [[1,2,2,3],[2,4]]=>2 [[1,2,2,4],[2,3]]=>2 [[1,2,2,2],[4,4]]=>2 [[1,2,2,4],[2,4]]=>2 [[1,2,2,3],[3,4]]=>2 [[1,2,2,4],[3,3]]=>2 [[1,2,3,3],[2,4]]=>2 [[1,2,3,4],[2,3]]=>2 [[1,2,2,3],[4,4]]=>2 [[1,2,2,4],[3,4]]=>2 [[1,2,3,4],[2,4]]=>2 [[1,2,4,4],[2,3]]=>2 [[1,2,2,4],[4,4]]=>2 [[1,2,4,4],[2,4]]=>2 [[1,2,3,3],[3,4]]=>2 [[1,2,3,4],[3,3]]=>2 [[1,3,3,3],[2,4]]=>2 [[1,2,3,3],[4,4]]=>2 [[1,2,3,4],[3,4]]=>2 [[1,2,4,4],[3,3]]=>2 [[1,3,3,4],[2,4]]=>2 [[1,2,3,4],[4,4]]=>2 [[1,2,4,4],[3,4]]=>2 [[1,3,4,4],[2,4]]=>2 [[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],[3,4]]=>2 [[1,3,3,4],[4,4]]=>2 [[1,3,4,4],[3,4]]=>2 [[1,3,4,4],[4,4]]=>2 [[2,2,2,2],[3,4]]=>2 [[2,2,2,2],[4,4]]=>2 [[2,2,2,3],[3,4]]=>2 [[2,2,2,4],[3,3]]=>2 [[2,2,2,3],[4,4]]=>2 [[2,2,2,4],[3,4]]=>2 [[2,2,2,4],[4,4]]=>2 [[2,2,3,3],[3,4]]=>2 [[2,2,3,4],[3,3]]=>2 [[2,2,3,3],[4,4]]=>2 [[2,2,3,4],[3,4]]=>2 [[2,2,4,4],[3,3]]=>2 [[2,2,3,4],[4,4]]=>2 [[2,2,4,4],[3,4]]=>2 [[2,2,4,4],[4,4]]=>2 [[2,3,3,3],[3,4]]=>2 [[2,3,3,3],[4,4]]=>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 [[3,3,3,3],[4,4]]=>2 [[3,3,3,4],[4,4]]=>2 [[3,3,4,4],[4,4]]=>2 [[1,1,1,1],[2],[4]]=>3 [[1,1,1,1],[3],[4]]=>3 [[1,1,1,2],[2],[4]]=>3 [[1,1,1,2],[3],[4]]=>3 [[1,1,1,3],[2],[4]]=>3 [[1,1,1,4],[2],[3]]=>3 [[1,1,1,4],[2],[4]]=>3 [[1,1,1,3],[3],[4]]=>3 [[1,1,1,4],[3],[4]]=>3 [[1,1,2,2],[2],[4]]=>3 [[1,1,2,2],[3],[4]]=>3 [[1,1,2,3],[2],[4]]=>3 [[1,1,2,4],[2],[3]]=>3 [[1,1,2,4],[2],[4]]=>3 [[1,1,2,3],[3],[4]]=>3 [[1,1,3,3],[2],[4]]=>3 [[1,1,3,4],[2],[3]]=>3 [[1,1,2,4],[3],[4]]=>3 [[1,1,3,4],[2],[4]]=>3 [[1,1,4,4],[2],[3]]=>3 [[1,1,4,4],[2],[4]]=>3 [[1,1,3,3],[3],[4]]=>3 [[1,1,3,4],[3],[4]]=>3 [[1,1,4,4],[3],[4]]=>3 [[1,2,2,2],[2],[4]]=>3 [[1,2,2,2],[3],[4]]=>3 [[1,2,2,3],[2],[4]]=>3 [[1,2,2,4],[2],[3]]=>3 [[1,2,2,4],[2],[4]]=>3 [[1,2,2,3],[3],[4]]=>3 [[1,2,3,3],[2],[4]]=>3 [[1,2,3,4],[2],[3]]=>3 [[1,2,2,4],[3],[4]]=>3 [[1,2,3,4],[2],[4]]=>3 [[1,2,4,4],[2],[3]]=>3 [[1,2,4,4],[2],[4]]=>3 [[1,2,3,3],[3],[4]]=>3 [[1,3,3,3],[2],[4]]=>3 [[1,3,3,4],[2],[3]]=>3 [[1,2,3,4],[3],[4]]=>3 [[1,3,3,4],[2],[4]]=>3 [[1,3,4,4],[2],[3]]=>3 [[1,2,4,4],[3],[4]]=>3 [[1,3,4,4],[2],[4]]=>3 [[1,4,4,4],[2],[3]]=>3 [[1,4,4,4],[2],[4]]=>3 [[1,3,3,3],[3],[4]]=>3 [[1,3,3,4],[3],[4]]=>3 [[1,3,4,4],[3],[4]]=>3 [[1,4,4,4],[3],[4]]=>3 [[2,2,2,2],[3],[4]]=>3 [[2,2,2,3],[3],[4]]=>3 [[2,2,2,4],[3],[4]]=>3 [[2,2,3,3],[3],[4]]=>3 [[2,2,3,4],[3],[4]]=>3 [[2,2,4,4],[3],[4]]=>3 [[2,3,3,3],[3],[4]]=>3 [[2,3,3,4],[3],[4]]=>3 [[2,3,4,4],[3],[4]]=>3 [[2,4,4,4],[3],[4]]=>3 [[1,1,1],[2,2,4]]=>3 [[1,1,1],[2,3,4]]=>3 [[1,1,1],[2,4,4]]=>3 [[1,1,1],[3,3,4]]=>3 [[1,1,1],[3,4,4]]=>3 [[1,1,1],[4,4,4]]=>3 [[1,1,2],[2,2,4]]=>3 [[1,1,2],[2,3,4]]=>3 [[1,1,3],[2,2,4]]=>3 [[1,1,2],[2,4,4]]=>3 [[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]]=>3 [[1,1,2],[4,4,4]]=>3 [[1,1,3],[3,3,4]]=>3 [[1,1,3],[3,4,4]]=>3 [[1,1,3],[4,4,4]]=>3 [[1,2,2],[2,3,4]]=>3 [[1,2,2],[2,4,4]]=>3 [[1,2,2],[3,3,4]]=>3 [[1,2,3],[2,3,4]]=>3 [[1,2,2],[3,4,4]]=>3 [[1,2,3],[2,4,4]]=>3 [[1,2,2],[4,4,4]]=>3 [[1,2,3],[3,3,4]]=>3 [[1,2,3],[3,4,4]]=>3 [[1,3,3],[2,4,4]]=>3 [[1,2,3],[4,4,4]]=>3 [[1,3,3],[3,4,4]]=>3 [[1,3,3],[4,4,4]]=>3 [[2,2,2],[3,3,4]]=>3 [[2,2,2],[3,4,4]]=>3 [[2,2,2],[4,4,4]]=>3 [[2,2,3],[3,3,4]]=>3 [[2,2,3],[3,4,4]]=>3 [[2,2,3],[4,4,4]]=>3 [[2,3,3],[3,4,4]]=>3 [[2,3,3],[4,4,4]]=>3 [[3,3,3],[4,4,4]]=>3 [[1,1,1],[2,2],[4]]=>4 [[1,1,1],[2,3],[4]]=>4 [[1,1,1],[2,4],[3]]=>4 [[1,1,1],[2,4],[4]]=>4 [[1,1,1],[3,3],[4]]=>4 [[1,1,1],[3,4],[4]]=>4 [[1,1,2],[2,2],[4]]=>4 [[1,1,2],[2,3],[4]]=>4 [[1,1,2],[2,4],[3]]=>4 [[1,1,3],[2,2],[4]]=>4 [[1,1,4],[2,2],[3]]=>4 [[1,1,2],[2,4],[4]]=>4 [[1,1,4],[2,2],[4]]=>4 [[1,1,2],[3,3],[4]]=>4 [[1,1,3],[2,3],[4]]=>4 [[1,1,3],[2,4],[3]]=>4 [[1,1,4],[2,3],[3]]=>4 [[1,1,2],[3,4],[4]]=>4 [[1,1,3],[2,4],[4]]=>4 [[1,1,4],[2,3],[4]]=>4 [[1,1,4],[2,4],[3]]=>4 [[1,1,4],[2,4],[4]]=>4 [[1,1,3],[3,3],[4]]=>4 [[1,1,3],[3,4],[4]]=>4 [[1,1,4],[3,3],[4]]=>4 [[1,1,4],[3,4],[4]]=>4 [[1,2,2],[2,3],[4]]=>4 [[1,2,2],[2,4],[3]]=>4 [[1,2,2],[2,4],[4]]=>4 [[1,2,2],[3,3],[4]]=>4 [[1,2,3],[2,3],[4]]=>4 [[1,2,3],[2,4],[3]]=>4 [[1,2,4],[2,3],[3]]=>4 [[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]]=>4 [[1,2,4],[2,4],[4]]=>4 [[1,2,3],[3,3],[4]]=>4 [[1,3,3],[2,4],[3]]=>4 [[1,2,3],[3,4],[4]]=>4 [[1,2,4],[3,3],[4]]=>4 [[1,3,3],[2,4],[4]]=>4 [[1,3,4],[2,4],[3]]=>4 [[1,2,4],[3,4],[4]]=>4 [[1,3,4],[2,4],[4]]=>4 [[1,3,3],[3,4],[4]]=>4 [[1,3,4],[3,4],[4]]=>4 [[2,2,2],[3,3],[4]]=>4 [[2,2,2],[3,4],[4]]=>4 [[2,2,3],[3,3],[4]]=>4 [[2,2,3],[3,4],[4]]=>4 [[2,2,4],[3,3],[4]]=>4 [[2,2,4],[3,4],[4]]=>4 [[2,3,3],[3,4],[4]]=>4 [[2,3,4],[3,4],[4]]=>4 [[1,1,1],[2],[3],[4]]=>6 [[1,1,2],[2],[3],[4]]=>6 [[1,1,3],[2],[3],[4]]=>6 [[1,1,4],[2],[3],[4]]=>6 [[1,2,2],[2],[3],[4]]=>6 [[1,2,3],[2],[3],[4]]=>6 [[1,2,4],[2],[3],[4]]=>6 [[1,3,3],[2],[3],[4]]=>6 [[1,3,4],[2],[3],[4]]=>6 [[1,4,4],[2],[3],[4]]=>6 [[1,1],[2,2],[3,4]]=>6 [[1,1],[2,2],[4,4]]=>6 [[1,1],[2,3],[3,4]]=>6 [[1,1],[2,3],[4,4]]=>6 [[1,1],[3,3],[4,4]]=>6 [[1,2],[2,3],[3,4]]=>6 [[1,2],[2,3],[4,4]]=>6 [[1,2],[3,3],[4,4]]=>6 [[2,2],[3,3],[4,4]]=>6 [[1,1],[2,2],[3],[4]]=>7 [[1,1],[2,3],[3],[4]]=>7 [[1,1],[2,4],[3],[4]]=>7 [[1,2],[2,3],[3],[4]]=>7 [[1,2],[2,4],[3],[4]]=>7 [[1,3],[2,4],[3],[4]]=>7 [[1,1,1,1,1,1,1]]=>0 [[1,1,1,1,1,1,2]]=>0 [[1,1,1,1,1,2,2]]=>0 [[1,1,1,1,2,2,2]]=>0 [[1,1,1,2,2,2,2]]=>0 [[1,1,2,2,2,2,2]]=>0 [[1,2,2,2,2,2,2]]=>0 [[2,2,2,2,2,2,2]]=>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 [[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 [[1,1,1,1],[2,2,2]]=>3 [[1,1,1,2],[2,2,2]]=>3 [[1,1,1,1,1,1,3]]=>0 [[1,1,1,1,1,2,3]]=>0 [[1,1,1,1,1,3,3]]=>0 [[1,1,1,1,2,2,3]]=>0 [[1,1,1,1,2,3,3]]=>0 [[1,1,1,1,3,3,3]]=>0 [[1,1,1,2,2,2,3]]=>0 [[1,1,1,2,2,3,3]]=>0 [[1,1,1,2,3,3,3]]=>0 [[1,1,1,3,3,3,3]]=>0 [[1,1,2,2,2,2,3]]=>0 [[1,1,2,2,2,3,3]]=>0 [[1,1,2,2,3,3,3]]=>0 [[1,1,2,3,3,3,3]]=>0 [[1,1,3,3,3,3,3]]=>0 [[1,2,2,2,2,2,3]]=>0 [[1,2,2,2,2,3,3]]=>0 [[1,2,2,2,3,3,3]]=>0 [[1,2,2,3,3,3,3]]=>0 [[1,2,3,3,3,3,3]]=>0 [[1,3,3,3,3,3,3]]=>0 [[2,2,2,2,2,2,3]]=>0 [[2,2,2,2,2,3,3]]=>0 [[2,2,2,2,3,3,3]]=>0 [[2,2,2,3,3,3,3]]=>0 [[2,2,3,3,3,3,3]]=>0 [[2,3,3,3,3,3,3]]=>0 [[3,3,3,3,3,3,3]]=>0 [[1,1,1,1,1,1],[3]]=>1 [[1,1,1,1,1,2],[3]]=>1 [[1,1,1,1,1,3],[2]]=>1 [[1,1,1,1,1,3],[3]]=>1 [[1,1,1,1,2,2],[3]]=>1 [[1,1,1,1,2,3],[2]]=>1 [[1,1,1,1,2,3],[3]]=>1 [[1,1,1,1,3,3],[2]]=>1 [[1,1,1,1,3,3],[3]]=>1 [[1,1,1,2,2,2],[3]]=>1 [[1,1,1,2,2,3],[2]]=>1 [[1,1,1,2,2,3],[3]]=>1 [[1,1,1,2,3,3],[2]]=>1 [[1,1,1,2,3,3],[3]]=>1 [[1,1,1,3,3,3],[2]]=>1 [[1,1,1,3,3,3],[3]]=>1 [[1,1,2,2,2,2],[3]]=>1 [[1,1,2,2,2,3],[2]]=>1 [[1,1,2,2,2,3],[3]]=>1 [[1,1,2,2,3,3],[2]]=>1 [[1,1,2,2,3,3],[3]]=>1 [[1,1,2,3,3,3],[2]]=>1 [[1,1,2,3,3,3],[3]]=>1 [[1,1,3,3,3,3],[2]]=>1 [[1,1,3,3,3,3],[3]]=>1 [[1,2,2,2,2,2],[3]]=>1 [[1,2,2,2,2,3],[2]]=>1 [[1,2,2,2,2,3],[3]]=>1 [[1,2,2,2,3,3],[2]]=>1 [[1,2,2,2,3,3],[3]]=>1 [[1,2,2,3,3,3],[2]]=>1 [[1,2,2,3,3,3],[3]]=>1 [[1,2,3,3,3,3],[2]]=>1 [[1,2,3,3,3,3],[3]]=>1 [[1,3,3,3,3,3],[2]]=>1 [[1,3,3,3,3,3],[3]]=>1 [[2,2,2,2,2,2],[3]]=>1 [[2,2,2,2,2,3],[3]]=>1 [[2,2,2,2,3,3],[3]]=>1 [[2,2,2,3,3,3],[3]]=>1 [[2,2,3,3,3,3],[3]]=>1 [[2,3,3,3,3,3],[3]]=>1 [[1,1,1,1,1],[2,3]]=>2 [[1,1,1,1,1],[3,3]]=>2 [[1,1,1,1,2],[2,3]]=>2 [[1,1,1,1,3],[2,2]]=>2 [[1,1,1,1,2],[3,3]]=>2 [[1,1,1,1,3],[2,3]]=>2 [[1,1,1,1,3],[3,3]]=>2 [[1,1,1,2,2],[2,3]]=>2 [[1,1,1,2,3],[2,2]]=>2 [[1,1,1,2,2],[3,3]]=>2 [[1,1,1,2,3],[2,3]]=>2 [[1,1,1,3,3],[2,2]]=>2 [[1,1,1,2,3],[3,3]]=>2 [[1,1,1,3,3],[2,3]]=>2 [[1,1,1,3,3],[3,3]]=>2 [[1,1,2,2,2],[2,3]]=>2 [[1,1,2,2,3],[2,2]]=>2 [[1,1,2,2,2],[3,3]]=>2 [[1,1,2,2,3],[2,3]]=>2 [[1,1,2,3,3],[2,2]]=>2 [[1,1,2,2,3],[3,3]]=>2 [[1,1,2,3,3],[2,3]]=>2 [[1,1,3,3,3],[2,2]]=>2 [[1,1,2,3,3],[3,3]]=>2 [[1,1,3,3,3],[2,3]]=>2 [[1,1,3,3,3],[3,3]]=>2 [[1,2,2,2,2],[2,3]]=>2 [[1,2,2,2,2],[3,3]]=>2 [[1,2,2,2,3],[2,3]]=>2 [[1,2,2,2,3],[3,3]]=>2 [[1,2,2,3,3],[2,3]]=>2 [[1,2,2,3,3],[3,3]]=>2 [[1,2,3,3,3],[2,3]]=>2 [[1,2,3,3,3],[3,3]]=>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 [[1,1,1,1,1],[2],[3]]=>3 [[1,1,1,1,2],[2],[3]]=>3 [[1,1,1,1,3],[2],[3]]=>3 [[1,1,1,2,2],[2],[3]]=>3 [[1,1,1,2,3],[2],[3]]=>3 [[1,1,1,3,3],[2],[3]]=>3 [[1,1,2,2,2],[2],[3]]=>3 [[1,1,2,2,3],[2],[3]]=>3 [[1,1,2,3,3],[2],[3]]=>3 [[1,1,3,3,3],[2],[3]]=>3 [[1,2,2,2,2],[2],[3]]=>3 [[1,2,2,2,3],[2],[3]]=>3 [[1,2,2,3,3],[2],[3]]=>3 [[1,2,3,3,3],[2],[3]]=>3 [[1,3,3,3,3],[2],[3]]=>3 [[1,1,1,1],[2,2,3]]=>3 [[1,1,1,1],[2,3,3]]=>3 [[1,1,1,1],[3,3,3]]=>3 [[1,1,1,2],[2,2,3]]=>3 [[1,1,1,3],[2,2,2]]=>3 [[1,1,1,2],[2,3,3]]=>3 [[1,1,1,3],[2,2,3]]=>3 [[1,1,1,2],[3,3,3]]=>3 [[1,1,1,3],[2,3,3]]=>3 [[1,1,1,3],[3,3,3]]=>3 [[1,1,2,2],[2,2,3]]=>3 [[1,1,2,2],[2,3,3]]=>3 [[1,1,2,3],[2,2,3]]=>3 [[1,1,2,2],[3,3,3]]=>3 [[1,1,2,3],[2,3,3]]=>3 [[1,1,2,3],[3,3,3]]=>3 [[1,2,2,2],[2,3,3]]=>3 [[1,2,2,2],[3,3,3]]=>3 [[1,2,2,3],[2,3,3]]=>3 [[1,2,2,3],[3,3,3]]=>3 [[2,2,2,2],[3,3,3]]=>3 [[2,2,2,3],[3,3,3]]=>3 [[1,1,1,1],[2,2],[3]]=>4 [[1,1,1,1],[2,3],[3]]=>4 [[1,1,1,2],[2,2],[3]]=>4 [[1,1,1,2],[2,3],[3]]=>4 [[1,1,1,3],[2,2],[3]]=>4 [[1,1,1,3],[2,3],[3]]=>4 [[1,1,2,2],[2,2],[3]]=>4 [[1,1,2,2],[2,3],[3]]=>4 [[1,1,2,3],[2,2],[3]]=>4 [[1,1,2,3],[2,3],[3]]=>4 [[1,1,3,3],[2,2],[3]]=>4 [[1,1,3,3],[2,3],[3]]=>4 [[1,2,2,2],[2,3],[3]]=>4 [[1,2,2,3],[2,3],[3]]=>4 [[1,2,3,3],[2,3],[3]]=>4 [[1,1,1],[2,2,2],[3]]=>5 [[1,1,1],[2,2,3],[3]]=>5 [[1,1,1],[2,3,3],[3]]=>5 [[1,1,2],[2,2,3],[3]]=>5 [[1,1,2],[2,3,3],[3]]=>5 [[1,2,2],[2,3,3],[3]]=>5 [[1,1,1],[2,2],[3,3]]=>6 [[1,1,2],[2,2],[3,3]]=>6 [[1,1,3],[2,2],[3,3]]=>6
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Description
The major index of a semistandard tableau obtained by standardizing.
Code
def statistic(t):
    return Permutation(t.standardization().to_word()).major_index()
Created
Jun 17, 2013 at 23:45 by Anne Schilling
Updated
Oct 19, 2015 at 16:36 by Christian Stump