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Identifier
Values
=>
Cc0025;cc-rep
[[1]]=>0 [[1],[1]]=>0 [[2]]=>0 [[1,1]]=>0 [[1],[1],[1]]=>0 [[2],[1]]=>1 [[1,1],[1]]=>0 [[3]]=>0 [[2,1]]=>1 [[1,1,1]]=>0 [[1],[1],[1],[1]]=>0 [[2],[1],[1]]=>1 [[2],[2]]=>0 [[1,1],[1],[1]]=>0 [[1,1],[1,1]]=>0 [[3],[1]]=>2 [[2,1],[1]]=>1 [[1,1,1],[1]]=>0 [[4]]=>0 [[3,1]]=>2 [[2,2]]=>0 [[2,1,1]]=>1 [[1,1,1,1]]=>0 [[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1]]=>1 [[2],[2],[1]]=>1 [[1,1],[1],[1],[1]]=>0 [[1,1],[1,1],[1]]=>0 [[3],[1],[1]]=>2 [[3],[2]]=>1 [[2,1],[1],[1]]=>1 [[2,1],[2]]=>1 [[2,1],[1,1]]=>1 [[1,1,1],[1],[1]]=>0 [[1,1,1],[1,1]]=>0 [[4],[1]]=>3 [[3,1],[1]]=>2 [[2,2],[1]]=>1 [[2,1,1],[1]]=>1 [[1,1,1,1],[1]]=>0 [[5]]=>0 [[4,1]]=>3 [[3,2]]=>1 [[3,1,1]]=>2 [[2,2,1]]=>1 [[2,1,1,1]]=>1 [[1,1,1,1,1]]=>0 [[1],[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1],[1]]=>1 [[2],[2],[1],[1]]=>1 [[2],[2],[2]]=>0 [[1,1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1],[1]]=>0 [[1,1],[1,1],[1,1]]=>0 [[3],[1],[1],[1]]=>2 [[3],[2],[1]]=>2 [[3],[3]]=>0 [[2,1],[1],[1],[1]]=>1 [[2,1],[2],[1]]=>1 [[2,1],[1,1],[1]]=>1 [[2,1],[2,1]]=>1 [[1,1,1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1]]=>0 [[1,1,1],[1,1,1]]=>0 [[4],[1],[1]]=>3 [[4],[2]]=>2 [[3,1],[1],[1]]=>2 [[3,1],[2]]=>2 [[3,1],[1,1]]=>2 [[2,2],[1],[1]]=>1 [[2,2],[2]]=>0 [[2,2],[1,1]]=>1 [[2,1,1],[1],[1]]=>1 [[2,1,1],[2]]=>1 [[2,1,1],[1,1]]=>1 [[1,1,1,1],[1],[1]]=>0 [[1,1,1,1],[1,1]]=>0 [[5],[1]]=>4 [[4,1],[1]]=>3 [[3,2],[1]]=>2 [[3,1,1],[1]]=>2 [[2,2,1],[1]]=>1 [[2,1,1,1],[1]]=>1 [[1,1,1,1,1],[1]]=>0 [[6]]=>0 [[5,1]]=>4 [[4,2]]=>2 [[4,1,1]]=>3 [[3,3]]=>0 [[3,2,1]]=>2 [[3,1,1,1]]=>2 [[2,2,2]]=>0 [[2,2,1,1]]=>1 [[2,1,1,1,1]]=>1 [[1,1,1,1,1,1]]=>0 [[1],[1],[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1],[1],[1]]=>1 [[2],[2],[1],[1],[1]]=>1 [[2],[2],[2],[1]]=>1 [[1,1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1]]=>0 [[3],[1],[1],[1],[1]]=>2 [[3],[2],[1],[1]]=>2 [[3],[2],[2]]=>1 [[3],[3],[1]]=>2 [[2,1],[1],[1],[1],[1]]=>1 [[2,1],[2],[1],[1]]=>1 [[2,1],[2],[2]]=>1 [[2,1],[1,1],[1],[1]]=>1 [[2,1],[1,1],[1,1]]=>1 [[2,1],[2,1],[1]]=>1 [[1,1,1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1]]=>0 [[1,1,1],[1,1,1],[1]]=>0 [[4],[1],[1],[1]]=>3 [[4],[2],[1]]=>3 [[4],[3]]=>1 [[3,1],[1],[1],[1]]=>2 [[3,1],[2],[1]]=>2 [[3,1],[1,1],[1]]=>2 [[3,1],[3]]=>2 [[3,1],[2,1]]=>2 [[2,2],[1],[1],[1]]=>1 [[2,2],[2],[1]]=>1 [[2,2],[1,1],[1]]=>1 [[2,2],[2,1]]=>1 [[2,1,1],[1],[1],[1]]=>1 [[2,1,1],[2],[1]]=>1 [[2,1,1],[1,1],[1]]=>1 [[2,1,1],[2,1]]=>1 [[2,1,1],[1,1,1]]=>1 [[1,1,1,1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1]]=>0 [[1,1,1,1],[1,1,1]]=>0 [[5],[1],[1]]=>4 [[5],[2]]=>3 [[4,1],[1],[1]]=>3 [[4,1],[2]]=>3 [[4,1],[1,1]]=>3 [[3,2],[1],[1]]=>2 [[3,2],[2]]=>1 [[3,2],[1,1]]=>2 [[3,1,1],[1],[1]]=>2 [[3,1,1],[2]]=>2 [[3,1,1],[1,1]]=>2 [[2,2,1],[1],[1]]=>1 [[2,2,1],[2]]=>1 [[2,2,1],[1,1]]=>1 [[2,1,1,1],[1],[1]]=>1 [[2,1,1,1],[2]]=>1 [[2,1,1,1],[1,1]]=>1 [[1,1,1,1,1],[1],[1]]=>0 [[1,1,1,1,1],[1,1]]=>0 [[6],[1]]=>5 [[5,1],[1]]=>4 [[4,2],[1]]=>3 [[4,1,1],[1]]=>3 [[3,3],[1]]=>2 [[3,2,1],[1]]=>2 [[3,1,1,1],[1]]=>2 [[2,2,2],[1]]=>1 [[2,2,1,1],[1]]=>1 [[2,1,1,1,1],[1]]=>1 [[1,1,1,1,1,1],[1]]=>0 [[7]]=>0 [[6,1]]=>5 [[5,2]]=>3 [[5,1,1]]=>4 [[4,3]]=>1 [[4,2,1]]=>3 [[4,1,1,1]]=>3 [[3,3,1]]=>2 [[3,2,2]]=>1 [[3,2,1,1]]=>2 [[3,1,1,1,1]]=>2 [[2,2,2,1]]=>1 [[2,2,1,1,1]]=>1 [[2,1,1,1,1,1]]=>1 [[1,1,1,1,1,1,1]]=>0 [[1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1],[1],[1],[1]]=>1 [[2],[2],[1],[1],[1],[1]]=>1 [[2],[2],[2],[1],[1]]=>1 [[2],[2],[2],[2]]=>0 [[1,1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1,1]]=>0 [[3],[1],[1],[1],[1],[1]]=>2 [[3],[2],[1],[1],[1]]=>2 [[3],[2],[2],[1]]=>2 [[3],[3],[1],[1]]=>2 [[3],[3],[2]]=>1 [[2,1],[1],[1],[1],[1],[1]]=>1 [[2,1],[2],[1],[1],[1]]=>1 [[2,1],[2],[2],[1]]=>1 [[2,1],[1,1],[1],[1],[1]]=>1 [[2,1],[1,1],[1,1],[1]]=>1 [[2,1],[2,1],[1],[1]]=>1 [[2,1],[2,1],[2]]=>1 [[2,1],[2,1],[1,1]]=>1 [[1,1,1],[1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1],[1]]=>0 [[1,1,1],[1,1,1],[1],[1]]=>0 [[1,1,1],[1,1,1],[1,1]]=>0 [[4],[1],[1],[1],[1]]=>3 [[4],[2],[1],[1]]=>3 [[4],[2],[2]]=>2 [[4],[3],[1]]=>3 [[4],[4]]=>0 [[3,1],[1],[1],[1],[1]]=>2 [[3,1],[2],[1],[1]]=>2 [[3,1],[2],[2]]=>2 [[3,1],[1,1],[1],[1]]=>2 [[3,1],[1,1],[1,1]]=>2 [[3,1],[3],[1]]=>2 [[3,1],[2,1],[1]]=>2 [[3,1],[3,1]]=>2 [[2,2],[1],[1],[1],[1]]=>1 [[2,2],[2],[1],[1]]=>1 [[2,2],[2],[2]]=>0 [[2,2],[1,1],[1],[1]]=>1 [[2,2],[1,1],[1,1]]=>1 [[2,2],[2,1],[1]]=>1 [[2,2],[2,2]]=>0 [[2,1,1],[1],[1],[1],[1]]=>1 [[2,1,1],[2],[1],[1]]=>1 [[2,1,1],[2],[2]]=>1 [[2,1,1],[1,1],[1],[1]]=>1 [[2,1,1],[1,1],[1,1]]=>1 [[2,1,1],[2,1],[1]]=>1 [[2,1,1],[1,1,1],[1]]=>1 [[2,1,1],[2,1,1]]=>1 [[1,1,1,1],[1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1,1]]=>0 [[1,1,1,1],[1,1,1],[1]]=>0 [[1,1,1,1],[1,1,1,1]]=>0 [[5],[1],[1],[1]]=>4 [[5],[2],[1]]=>4 [[5],[3]]=>2 [[4,1],[1],[1],[1]]=>3 [[4,1],[2],[1]]=>3 [[4,1],[1,1],[1]]=>3 [[4,1],[3]]=>3 [[4,1],[2,1]]=>3 [[3,2],[1],[1],[1]]=>2 [[3,2],[2],[1]]=>2 [[3,2],[1,1],[1]]=>2 [[3,2],[3]]=>1 [[3,2],[2,1]]=>2 [[3,1,1],[1],[1],[1]]=>2 [[3,1,1],[2],[1]]=>2 [[3,1,1],[1,1],[1]]=>2 [[3,1,1],[3]]=>2 [[3,1,1],[2,1]]=>2 [[3,1,1],[1,1,1]]=>2 [[2,2,1],[1],[1],[1]]=>1 [[2,2,1],[2],[1]]=>1 [[2,2,1],[1,1],[1]]=>1 [[2,2,1],[2,1]]=>1 [[2,2,1],[1,1,1]]=>1 [[2,1,1,1],[1],[1],[1]]=>1 [[2,1,1,1],[2],[1]]=>1 [[2,1,1,1],[1,1],[1]]=>1 [[2,1,1,1],[2,1]]=>1 [[2,1,1,1],[1,1,1]]=>1 [[1,1,1,1,1],[1],[1],[1]]=>0 [[1,1,1,1,1],[1,1],[1]]=>0 [[1,1,1,1,1],[1,1,1]]=>0 [[6],[1],[1]]=>5 [[6],[2]]=>4 [[5,1],[1],[1]]=>4 [[5,1],[2]]=>4 [[5,1],[1,1]]=>4 [[4,2],[1],[1]]=>3 [[4,2],[2]]=>2 [[4,2],[1,1]]=>3 [[4,1,1],[1],[1]]=>3 [[4,1,1],[2]]=>3 [[4,1,1],[1,1]]=>3 [[3,3],[1],[1]]=>2 [[3,3],[2]]=>1 [[3,3],[1,1]]=>2 [[3,2,1],[1],[1]]=>2 [[3,2,1],[2]]=>2 [[3,2,1],[1,1]]=>2 [[3,1,1,1],[1],[1]]=>2 [[3,1,1,1],[2]]=>2 [[3,1,1,1],[1,1]]=>2 [[2,2,2],[1],[1]]=>1 [[2,2,2],[2]]=>0 [[2,2,2],[1,1]]=>1 [[2,2,1,1],[1],[1]]=>1 [[2,2,1,1],[2]]=>1 [[2,2,1,1],[1,1]]=>1 [[2,1,1,1,1],[1],[1]]=>1 [[2,1,1,1,1],[2]]=>1 [[2,1,1,1,1],[1,1]]=>1 [[1,1,1,1,1,1],[1],[1]]=>0 [[1,1,1,1,1,1],[1,1]]=>0 [[7],[1]]=>6 [[6,1],[1]]=>5 [[5,2],[1]]=>4 [[5,1,1],[1]]=>4 [[4,3],[1]]=>3 [[4,2,1],[1]]=>3 [[4,1,1,1],[1]]=>3 [[3,3,1],[1]]=>2 [[3,2,2],[1]]=>2 [[3,2,1,1],[1]]=>2 [[3,1,1,1,1],[1]]=>2 [[2,2,2,1],[1]]=>1 [[2,2,1,1,1],[1]]=>1 [[2,1,1,1,1,1],[1]]=>1 [[1,1,1,1,1,1,1],[1]]=>0 [[8]]=>0 [[7,1]]=>6 [[6,2]]=>4 [[6,1,1]]=>5 [[5,3]]=>2 [[5,2,1]]=>4 [[5,1,1,1]]=>4 [[4,4]]=>0 [[4,3,1]]=>3 [[4,2,2]]=>2 [[4,2,1,1]]=>3 [[4,1,1,1,1]]=>3 [[3,3,2]]=>1 [[3,3,1,1]]=>2 [[3,2,2,1]]=>2 [[3,2,1,1,1]]=>2 [[3,1,1,1,1,1]]=>2 [[2,2,2,2]]=>0 [[2,2,2,1,1]]=>1 [[2,2,1,1,1,1]]=>1 [[2,1,1,1,1,1,1]]=>1 [[1,1,1,1,1,1,1,1]]=>0 [[1],[1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1],[1],[1],[1],[1]]=>1 [[2],[2],[1],[1],[1],[1],[1]]=>1 [[2],[2],[2],[1],[1],[1]]=>1 [[2],[2],[2],[2],[1]]=>1 [[1,1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1,1],[1]]=>0 [[3],[1],[1],[1],[1],[1],[1]]=>2 [[3],[2],[1],[1],[1],[1]]=>2 [[3],[2],[2],[1],[1]]=>2 [[3],[2],[2],[2]]=>1 [[3],[3],[1],[1],[1]]=>2 [[3],[3],[2],[1]]=>2 [[3],[3],[3]]=>0 [[2,1],[1],[1],[1],[1],[1],[1]]=>1 [[2,1],[2],[1],[1],[1],[1]]=>1 [[2,1],[2],[2],[1],[1]]=>1 [[2,1],[2],[2],[2]]=>1 [[2,1],[1,1],[1],[1],[1],[1]]=>1 [[2,1],[1,1],[1,1],[1],[1]]=>1 [[2,1],[1,1],[1,1],[1,1]]=>1 [[2,1],[2,1],[1],[1],[1]]=>1 [[2,1],[2,1],[2],[1]]=>1 [[2,1],[2,1],[1,1],[1]]=>1 [[2,1],[2,1],[2,1]]=>1 [[1,1,1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1],[1,1]]=>0 [[1,1,1],[1,1,1],[1],[1],[1]]=>0 [[1,1,1],[1,1,1],[1,1],[1]]=>0 [[1,1,1],[1,1,1],[1,1,1]]=>0 [[4],[1],[1],[1],[1],[1]]=>3 [[4],[2],[1],[1],[1]]=>3 [[4],[2],[2],[1]]=>3 [[4],[3],[1],[1]]=>3 [[4],[3],[2]]=>2 [[4],[4],[1]]=>3 [[3,1],[1],[1],[1],[1],[1]]=>2 [[3,1],[2],[1],[1],[1]]=>2 [[3,1],[2],[2],[1]]=>2 [[3,1],[1,1],[1],[1],[1]]=>2 [[3,1],[1,1],[1,1],[1]]=>2 [[3,1],[3],[1],[1]]=>2 [[3,1],[3],[2]]=>2 [[3,1],[2,1],[1],[1]]=>2 [[3,1],[2,1],[2]]=>2 [[3,1],[2,1],[1,1]]=>2 [[3,1],[3,1],[1]]=>2 [[2,2],[1],[1],[1],[1],[1]]=>1 [[2,2],[2],[1],[1],[1]]=>1 [[2,2],[2],[2],[1]]=>1 [[2,2],[1,1],[1],[1],[1]]=>1 [[2,2],[1,1],[1,1],[1]]=>1 [[2,2],[2,1],[1],[1]]=>1 [[2,2],[2,1],[2]]=>1 [[2,2],[2,1],[1,1]]=>1 [[2,2],[2,2],[1]]=>1 [[2,1,1],[1],[1],[1],[1],[1]]=>1 [[2,1,1],[2],[1],[1],[1]]=>1 [[2,1,1],[2],[2],[1]]=>1 [[2,1,1],[1,1],[1],[1],[1]]=>1 [[2,1,1],[1,1],[1,1],[1]]=>1 [[2,1,1],[2,1],[1],[1]]=>1 [[2,1,1],[2,1],[2]]=>1 [[2,1,1],[2,1],[1,1]]=>1 [[2,1,1],[1,1,1],[1],[1]]=>1 [[2,1,1],[1,1,1],[1,1]]=>1 [[2,1,1],[2,1,1],[1]]=>1 [[1,1,1,1],[1],[1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1,1],[1]]=>0 [[1,1,1,1],[1,1,1],[1],[1]]=>0 [[1,1,1,1],[1,1,1],[1,1]]=>0 [[1,1,1,1],[1,1,1,1],[1]]=>0 [[5],[1],[1],[1],[1]]=>4 [[5],[2],[1],[1]]=>4 [[5],[2],[2]]=>3 [[5],[3],[1]]=>4 [[5],[4]]=>1 [[4,1],[1],[1],[1],[1]]=>3 [[4,1],[2],[1],[1]]=>3 [[4,1],[2],[2]]=>3 [[4,1],[1,1],[1],[1]]=>3 [[4,1],[1,1],[1,1]]=>3 [[4,1],[3],[1]]=>3 [[4,1],[2,1],[1]]=>3 [[4,1],[4]]=>3 [[4,1],[3,1]]=>3 [[3,2],[1],[1],[1],[1]]=>2 [[3,2],[2],[1],[1]]=>2 [[3,2],[2],[2]]=>1 [[3,2],[1,1],[1],[1]]=>2 [[3,2],[1,1],[1,1]]=>2 [[3,2],[3],[1]]=>2 [[3,2],[2,1],[1]]=>2 [[3,2],[3,1]]=>2 [[3,2],[2,2]]=>1 [[3,1,1],[1],[1],[1],[1]]=>2 [[3,1,1],[2],[1],[1]]=>2 [[3,1,1],[2],[2]]=>2 [[3,1,1],[1,1],[1],[1]]=>2 [[3,1,1],[1,1],[1,1]]=>2 [[3,1,1],[3],[1]]=>2 [[3,1,1],[2,1],[1]]=>2 [[3,1,1],[1,1,1],[1]]=>2 [[3,1,1],[3,1]]=>2 [[3,1,1],[2,1,1]]=>2 [[2,2,1],[1],[1],[1],[1]]=>1 [[2,2,1],[2],[1],[1]]=>1 [[2,2,1],[2],[2]]=>1 [[2,2,1],[1,1],[1],[1]]=>1 [[2,2,1],[1,1],[1,1]]=>1 [[2,2,1],[2,1],[1]]=>1 [[2,2,1],[1,1,1],[1]]=>1 [[2,2,1],[2,2]]=>1 [[2,2,1],[2,1,1]]=>1 [[2,1,1,1],[1],[1],[1],[1]]=>1 [[2,1,1,1],[2],[1],[1]]=>1 [[2,1,1,1],[2],[2]]=>1 [[2,1,1,1],[1,1],[1],[1]]=>1 [[2,1,1,1],[1,1],[1,1]]=>1 [[2,1,1,1],[2,1],[1]]=>1 [[2,1,1,1],[1,1,1],[1]]=>1 [[2,1,1,1],[2,1,1]]=>1 [[2,1,1,1],[1,1,1,1]]=>1 [[1,1,1,1,1],[1],[1],[1],[1]]=>0 [[1,1,1,1,1],[1,1],[1],[1]]=>0 [[1,1,1,1,1],[1,1],[1,1]]=>0 [[1,1,1,1,1],[1,1,1],[1]]=>0 [[1,1,1,1,1],[1,1,1,1]]=>0 [[6],[1],[1],[1]]=>5 [[6],[2],[1]]=>5 [[6],[3]]=>3 [[5,1],[1],[1],[1]]=>4 [[5,1],[2],[1]]=>4 [[5,1],[1,1],[1]]=>4 [[5,1],[3]]=>4 [[5,1],[2,1]]=>4 [[4,2],[1],[1],[1]]=>3 [[4,2],[2],[1]]=>3 [[4,2],[1,1],[1]]=>3 [[4,2],[3]]=>2 [[4,2],[2,1]]=>3 [[4,1,1],[1],[1],[1]]=>3 [[4,1,1],[2],[1]]=>3 [[4,1,1],[1,1],[1]]=>3 [[4,1,1],[3]]=>3 [[4,1,1],[2,1]]=>3 [[4,1,1],[1,1,1]]=>3 [[3,3],[1],[1],[1]]=>2 [[3,3],[2],[1]]=>2 [[3,3],[1,1],[1]]=>2 [[3,3],[3]]=>0 [[3,3],[2,1]]=>2 [[3,2,1],[1],[1],[1]]=>2 [[3,2,1],[2],[1]]=>2 [[3,2,1],[1,1],[1]]=>2 [[3,2,1],[3]]=>2 [[3,2,1],[2,1]]=>2 [[3,2,1],[1,1,1]]=>2 [[3,1,1,1],[1],[1],[1]]=>2 [[3,1,1,1],[2],[1]]=>2 [[3,1,1,1],[1,1],[1]]=>2 [[3,1,1,1],[3]]=>2 [[3,1,1,1],[2,1]]=>2 [[3,1,1,1],[1,1,1]]=>2 [[2,2,2],[1],[1],[1]]=>1 [[2,2,2],[2],[1]]=>1 [[2,2,2],[1,1],[1]]=>1 [[2,2,2],[2,1]]=>1 [[2,2,2],[1,1,1]]=>1 [[2,2,1,1],[1],[1],[1]]=>1 [[2,2,1,1],[2],[1]]=>1 [[2,2,1,1],[1,1],[1]]=>1 [[2,2,1,1],[2,1]]=>1 [[2,2,1,1],[1,1,1]]=>1 [[2,1,1,1,1],[1],[1],[1]]=>1 [[2,1,1,1,1],[2],[1]]=>1 [[2,1,1,1,1],[1,1],[1]]=>1 [[2,1,1,1,1],[2,1]]=>1 [[2,1,1,1,1],[1,1,1]]=>1 [[1,1,1,1,1,1],[1],[1],[1]]=>0 [[1,1,1,1,1,1],[1,1],[1]]=>0 [[1,1,1,1,1,1],[1,1,1]]=>0 [[7],[1],[1]]=>6 [[7],[2]]=>5 [[6,1],[1],[1]]=>5 [[6,1],[2]]=>5 [[6,1],[1,1]]=>5 [[5,2],[1],[1]]=>4 [[5,2],[2]]=>3 [[5,2],[1,1]]=>4 [[5,1,1],[1],[1]]=>4 [[5,1,1],[2]]=>4 [[5,1,1],[1,1]]=>4 [[4,3],[1],[1]]=>3 [[4,3],[2]]=>2 [[4,3],[1,1]]=>3 [[4,2,1],[1],[1]]=>3 [[4,2,1],[2]]=>3 [[4,2,1],[1,1]]=>3 [[4,1,1,1],[1],[1]]=>3 [[4,1,1,1],[2]]=>3 [[4,1,1,1],[1,1]]=>3 [[3,3,1],[1],[1]]=>2 [[3,3,1],[2]]=>2 [[3,3,1],[1,1]]=>2 [[3,2,2],[1],[1]]=>2 [[3,2,2],[2]]=>1 [[3,2,2],[1,1]]=>2 [[3,2,1,1],[1],[1]]=>2 [[3,2,1,1],[2]]=>2 [[3,2,1,1],[1,1]]=>2 [[3,1,1,1,1],[1],[1]]=>2 [[3,1,1,1,1],[2]]=>2 [[3,1,1,1,1],[1,1]]=>2 [[2,2,2,1],[1],[1]]=>1 [[2,2,2,1],[2]]=>1 [[2,2,2,1],[1,1]]=>1 [[2,2,1,1,1],[1],[1]]=>1 [[2,2,1,1,1],[2]]=>1 [[2,2,1,1,1],[1,1]]=>1 [[2,1,1,1,1,1],[1],[1]]=>1 [[2,1,1,1,1,1],[2]]=>1 [[2,1,1,1,1,1],[1,1]]=>1 [[1,1,1,1,1,1,1],[1],[1]]=>0 [[1,1,1,1,1,1,1],[1,1]]=>0 [[8],[1]]=>7 [[7,1],[1]]=>6 [[6,2],[1]]=>5 [[6,1,1],[1]]=>5 [[5,3],[1]]=>4 [[5,2,1],[1]]=>4 [[5,1,1,1],[1]]=>4 [[4,4],[1]]=>3 [[4,3,1],[1]]=>3 [[4,2,2],[1]]=>3 [[4,2,1,1],[1]]=>3 [[4,1,1,1,1],[1]]=>3 [[3,3,2],[1]]=>2 [[3,3,1,1],[1]]=>2 [[3,2,2,1],[1]]=>2 [[3,2,1,1,1],[1]]=>2 [[3,1,1,1,1,1],[1]]=>2 [[2,2,2,2],[1]]=>1 [[2,2,2,1,1],[1]]=>1 [[2,2,1,1,1,1],[1]]=>1 [[2,1,1,1,1,1,1],[1]]=>1 [[1,1,1,1,1,1,1,1],[1]]=>0 [[9]]=>0 [[8,1]]=>7 [[7,2]]=>5 [[7,1,1]]=>6 [[6,3]]=>3 [[6,2,1]]=>5 [[6,1,1,1]]=>5 [[5,4]]=>1 [[5,3,1]]=>4 [[5,2,2]]=>3 [[5,2,1,1]]=>4 [[5,1,1,1,1]]=>4 [[4,4,1]]=>3 [[4,3,2]]=>2 [[4,3,1,1]]=>3 [[4,2,2,1]]=>3 [[4,2,1,1,1]]=>3 [[4,1,1,1,1,1]]=>3 [[3,3,3]]=>0 [[3,3,2,1]]=>2 [[3,3,1,1,1]]=>2 [[3,2,2,2]]=>1 [[3,2,2,1,1]]=>2 [[3,2,1,1,1,1]]=>2 [[3,1,1,1,1,1,1]]=>2 [[2,2,2,2,1]]=>1 [[2,2,2,1,1,1]]=>1 [[2,2,1,1,1,1,1]]=>1 [[2,1,1,1,1,1,1,1]]=>1 [[1,1,1,1,1,1,1,1,1]]=>0 [[1],[1],[1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[2],[1],[1],[1],[1],[1],[1],[1],[1]]=>1 [[2],[2],[1],[1],[1],[1],[1],[1]]=>1 [[2],[2],[2],[1],[1],[1],[1]]=>1 [[2],[2],[2],[2],[1],[1]]=>1 [[2],[2],[2],[2],[2]]=>0 [[1,1],[1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1],[1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1,1],[1],[1]]=>0 [[1,1],[1,1],[1,1],[1,1],[1,1]]=>0 [[3],[1],[1],[1],[1],[1],[1],[1]]=>2 [[3],[2],[1],[1],[1],[1],[1]]=>2 [[3],[2],[2],[1],[1],[1]]=>2 [[3],[2],[2],[2],[1]]=>2 [[3],[3],[1],[1],[1],[1]]=>2 [[3],[3],[2],[1],[1]]=>2 [[3],[3],[2],[2]]=>1 [[3],[3],[3],[1]]=>2 [[2,1],[1],[1],[1],[1],[1],[1],[1]]=>1 [[2,1],[2],[1],[1],[1],[1],[1]]=>1 [[2,1],[2],[2],[1],[1],[1]]=>1 [[2,1],[2],[2],[2],[1]]=>1 [[2,1],[1,1],[1],[1],[1],[1],[1]]=>1 [[2,1],[1,1],[1,1],[1],[1],[1]]=>1 [[2,1],[1,1],[1,1],[1,1],[1]]=>1 [[2,1],[2,1],[1],[1],[1],[1]]=>1 [[2,1],[2,1],[2],[1],[1]]=>1 [[2,1],[2,1],[2],[2]]=>1 [[2,1],[2,1],[1,1],[1],[1]]=>1 [[2,1],[2,1],[1,1],[1,1]]=>1 [[2,1],[2,1],[2,1],[1]]=>1 [[1,1,1],[1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1],[1],[1],[1]]=>0 [[1,1,1],[1,1],[1,1],[1,1],[1]]=>0 [[1,1,1],[1,1,1],[1],[1],[1],[1]]=>0 [[1,1,1],[1,1,1],[1,1],[1],[1]]=>0 [[1,1,1],[1,1,1],[1,1],[1,1]]=>0 [[1,1,1],[1,1,1],[1,1,1],[1]]=>0 [[4],[1],[1],[1],[1],[1],[1]]=>3 [[4],[2],[1],[1],[1],[1]]=>3 [[4],[2],[2],[1],[1]]=>3 [[4],[2],[2],[2]]=>2 [[4],[3],[1],[1],[1]]=>3 [[4],[3],[2],[1]]=>3 [[4],[3],[3]]=>1 [[4],[4],[1],[1]]=>3 [[4],[4],[2]]=>2 [[3,1],[1],[1],[1],[1],[1],[1]]=>2 [[3,1],[2],[1],[1],[1],[1]]=>2 [[3,1],[2],[2],[1],[1]]=>2 [[3,1],[2],[2],[2]]=>2 [[3,1],[1,1],[1],[1],[1],[1]]=>2 [[3,1],[1,1],[1,1],[1],[1]]=>2 [[3,1],[1,1],[1,1],[1,1]]=>2 [[3,1],[3],[1],[1],[1]]=>2 [[3,1],[3],[2],[1]]=>2 [[3,1],[3],[3]]=>2 [[3,1],[2,1],[1],[1],[1]]=>2 [[3,1],[2,1],[2],[1]]=>2 [[3,1],[2,1],[1,1],[1]]=>2 [[3,1],[2,1],[2,1]]=>2 [[3,1],[3,1],[1],[1]]=>2 [[3,1],[3,1],[2]]=>2 [[3,1],[3,1],[1,1]]=>2 [[2,2],[1],[1],[1],[1],[1],[1]]=>1 [[2,2],[2],[1],[1],[1],[1]]=>1 [[2,2],[2],[2],[1],[1]]=>1 [[2,2],[2],[2],[2]]=>0 [[2,2],[1,1],[1],[1],[1],[1]]=>1 [[2,2],[1,1],[1,1],[1],[1]]=>1 [[2,2],[1,1],[1,1],[1,1]]=>1 [[2,2],[2,1],[1],[1],[1]]=>1 [[2,2],[2,1],[2],[1]]=>1 [[2,2],[2,1],[1,1],[1]]=>1 [[2,2],[2,1],[2,1]]=>1 [[2,2],[2,2],[1],[1]]=>1 [[2,2],[2,2],[2]]=>0 [[2,2],[2,2],[1,1]]=>1 [[2,1,1],[1],[1],[1],[1],[1],[1]]=>1 [[2,1,1],[2],[1],[1],[1],[1]]=>1 [[2,1,1],[2],[2],[1],[1]]=>1 [[2,1,1],[2],[2],[2]]=>1 [[2,1,1],[1,1],[1],[1],[1],[1]]=>1 [[2,1,1],[1,1],[1,1],[1],[1]]=>1 [[2,1,1],[1,1],[1,1],[1,1]]=>1 [[2,1,1],[2,1],[1],[1],[1]]=>1 [[2,1,1],[2,1],[2],[1]]=>1 [[2,1,1],[2,1],[1,1],[1]]=>1 [[2,1,1],[2,1],[2,1]]=>1 [[2,1,1],[1,1,1],[1],[1],[1]]=>1 [[2,1,1],[1,1,1],[1,1],[1]]=>1 [[2,1,1],[1,1,1],[1,1,1]]=>1 [[2,1,1],[2,1,1],[1],[1]]=>1 [[2,1,1],[2,1,1],[2]]=>1 [[2,1,1],[2,1,1],[1,1]]=>1 [[1,1,1,1],[1],[1],[1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1,1],[1],[1]]=>0 [[1,1,1,1],[1,1],[1,1],[1,1]]=>0 [[1,1,1,1],[1,1,1],[1],[1],[1]]=>0 [[1,1,1,1],[1,1,1],[1,1],[1]]=>0 [[1,1,1,1],[1,1,1],[1,1,1]]=>0 [[1,1,1,1],[1,1,1,1],[1],[1]]=>0 [[1,1,1,1],[1,1,1,1],[1,1]]=>0 [[5],[1],[1],[1],[1],[1]]=>4 [[5],[2],[1],[1],[1]]=>4 [[5],[2],[2],[1]]=>4 [[5],[3],[1],[1]]=>4 [[5],[3],[2]]=>3 [[5],[4],[1]]=>4 [[5],[5]]=>0 [[4,1],[1],[1],[1],[1],[1]]=>3 [[4,1],[2],[1],[1],[1]]=>3 [[4,1],[2],[2],[1]]=>3 [[4,1],[1,1],[1],[1],[1]]=>3 [[4,1],[1,1],[1,1],[1]]=>3 [[4,1],[3],[1],[1]]=>3 [[4,1],[3],[2]]=>3 [[4,1],[2,1],[1],[1]]=>3 [[4,1],[2,1],[2]]=>3 [[4,1],[2,1],[1,1]]=>3 [[4,1],[4],[1]]=>3 [[4,1],[3,1],[1]]=>3 [[4,1],[4,1]]=>3 [[3,2],[1],[1],[1],[1],[1]]=>2 [[3,2],[2],[1],[1],[1]]=>2 [[3,2],[2],[2],[1]]=>2 [[3,2],[1,1],[1],[1],[1]]=>2 [[3,2],[1,1],[1,1],[1]]=>2 [[3,2],[3],[1],[1]]=>2 [[3,2],[3],[2]]=>1 [[3,2],[2,1],[1],[1]]=>2 [[3,2],[2,1],[2]]=>2 [[3,2],[2,1],[1,1]]=>2 [[3,2],[3,1],[1]]=>2 [[3,2],[2,2],[1]]=>2 [[3,2],[3,2]]=>1 [[3,1,1],[1],[1],[1],[1],[1]]=>2 [[3,1,1],[2],[1],[1],[1]]=>2 [[3,1,1],[2],[2],[1]]=>2 [[3,1,1],[1,1],[1],[1],[1]]=>2 [[3,1,1],[1,1],[1,1],[1]]=>2 [[3,1,1],[3],[1],[1]]=>2 [[3,1,1],[3],[2]]=>2 [[3,1,1],[2,1],[1],[1]]=>2 [[3,1,1],[2,1],[2]]=>2 [[3,1,1],[2,1],[1,1]]=>2 [[3,1,1],[1,1,1],[1],[1]]=>2 [[3,1,1],[1,1,1],[1,1]]=>2 [[3,1,1],[3,1],[1]]=>2 [[3,1,1],[2,1,1],[1]]=>2 [[3,1,1],[3,1,1]]=>2 [[2,2,1],[1],[1],[1],[1],[1]]=>1 [[2,2,1],[2],[1],[1],[1]]=>1 [[2,2,1],[2],[2],[1]]=>1 [[2,2,1],[1,1],[1],[1],[1]]=>1 [[2,2,1],[1,1],[1,1],[1]]=>1 [[2,2,1],[2,1],[1],[1]]=>1 [[2,2,1],[2,1],[2]]=>1 [[2,2,1],[2,1],[1,1]]=>1 [[2,2,1],[1,1,1],[1],[1]]=>1 [[2,2,1],[1,1,1],[1,1]]=>1 [[2,2,1],[2,2],[1]]=>1 [[2,2,1],[2,1,1],[1]]=>1 [[2,2,1],[2,2,1]]=>1 [[2,1,1,1],[1],[1],[1],[1],[1]]=>1 [[2,1,1,1],[2],[1],[1],[1]]=>1 [[2,1,1,1],[2],[2],[1]]=>1 [[2,1,1,1],[1,1],[1],[1],[1]]=>1 [[2,1,1,1],[1,1],[1,1],[1]]=>1 [[2,1,1,1],[2,1],[1],[1]]=>1 [[2,1,1,1],[2,1],[2]]=>1 [[2,1,1,1],[2,1],[1,1]]=>1 [[2,1,1,1],[1,1,1],[1],[1]]=>1 [[2,1,1,1],[1,1,1],[1,1]]=>1 [[2,1,1,1],[2,1,1],[1]]=>1 [[2,1,1,1],[1,1,1,1],[1]]=>1 [[2,1,1,1],[2,1,1,1]]=>1 [[1,1,1,1,1],[1],[1],[1],[1],[1]]=>0 [[1,1,1,1,1],[1,1],[1],[1],[1]]=>0 [[1,1,1,1,1],[1,1],[1,1],[1]]=>0 [[1,1,1,1,1],[1,1,1],[1],[1]]=>0 [[1,1,1,1,1],[1,1,1],[1,1]]=>0 [[1,1,1,1,1],[1,1,1,1],[1]]=>0 [[1,1,1,1,1],[1,1,1,1,1]]=>0 [[6],[1],[1],[1],[1]]=>5 [[6],[2],[1],[1]]=>5 [[6],[2],[2]]=>4 [[6],[3],[1]]=>5 [[6],[4]]=>2 [[5,1],[1],[1],[1],[1]]=>4 [[5,1],[2],[1],[1]]=>4 [[5,1],[2],[2]]=>4 [[5,1],[1,1],[1],[1]]=>4 [[5,1],[1,1],[1,1]]=>4 [[5,1],[3],[1]]=>4 [[5,1],[2,1],[1]]=>4 [[5,1],[4]]=>4 [[5,1],[3,1]]=>4 [[4,2],[1],[1],[1],[1]]=>3 [[4,2],[2],[1],[1]]=>3 [[4,2],[2],[2]]=>2 [[4,2],[1,1],[1],[1]]=>3 [[4,2],[1,1],[1,1]]=>3 [[4,2],[3],[1]]=>3 [[4,2],[2,1],[1]]=>3 [[4,2],[4]]=>2 [[4,2],[3,1]]=>3 [[4,2],[2,2]]=>2 [[4,1,1],[1],[1],[1],[1]]=>3 [[4,1,1],[2],[1],[1]]=>3 [[4,1,1],[2],[2]]=>3 [[4,1,1],[1,1],[1],[1]]=>3 [[4,1,1],[1,1],[1,1]]=>3 [[4,1,1],[3],[1]]=>3 [[4,1,1],[2,1],[1]]=>3 [[4,1,1],[1,1,1],[1]]=>3 [[4,1,1],[4]]=>3 [[4,1,1],[3,1]]=>3 [[4,1,1],[2,1,1]]=>3 [[3,3],[1],[1],[1],[1]]=>2 [[3,3],[2],[1],[1]]=>2 [[3,3],[2],[2]]=>1 [[3,3],[1,1],[1],[1]]=>2 [[3,3],[1,1],[1,1]]=>2 [[3,3],[3],[1]]=>2 [[3,3],[2,1],[1]]=>2 [[3,3],[3,1]]=>2 [[3,3],[2,2]]=>1 [[3,2,1],[1],[1],[1],[1]]=>2 [[3,2,1],[2],[1],[1]]=>2 [[3,2,1],[2],[2]]=>2 [[3,2,1],[1,1],[1],[1]]=>2 [[3,2,1],[1,1],[1,1]]=>2 [[3,2,1],[3],[1]]=>2 [[3,2,1],[2,1],[1]]=>2 [[3,2,1],[1,1,1],[1]]=>2 [[3,2,1],[3,1]]=>2 [[3,2,1],[2,2]]=>2 [[3,2,1],[2,1,1]]=>2 [[3,1,1,1],[1],[1],[1],[1]]=>2 [[3,1,1,1],[2],[1],[1]]=>2 [[3,1,1,1],[2],[2]]=>2 [[3,1,1,1],[1,1],[1],[1]]=>2 [[3,1,1,1],[1,1],[1,1]]=>2 [[3,1,1,1],[3],[1]]=>2 [[3,1,1,1],[2,1],[1]]=>2 [[3,1,1,1],[1,1,1],[1]]=>2 [[3,1,1,1],[3,1]]=>2 [[3,1,1,1],[2,1,1]]=>2 [[3,1,1,1],[1,1,1,1]]=>2 [[2,2,2],[1],[1],[1],[1]]=>1 [[2,2,2],[2],[1],[1]]=>1 [[2,2,2],[2],[2]]=>0 [[2,2,2],[1,1],[1],[1]]=>1 [[2,2,2],[1,1],[1,1]]=>1 [[2,2,2],[2,1],[1]]=>1 [[2,2,2],[1,1,1],[1]]=>1 [[2,2,2],[2,2]]=>0 [[2,2,2],[2,1,1]]=>1 [[2,2,1,1],[1],[1],[1],[1]]=>1 [[2,2,1,1],[2],[1],[1]]=>1 [[2,2,1,1],[2],[2]]=>1 [[2,2,1,1],[1,1],[1],[1]]=>1 [[2,2,1,1],[1,1],[1,1]]=>1 [[2,2,1,1],[2,1],[1]]=>1 [[2,2,1,1],[1,1,1],[1]]=>1 [[2,2,1,1],[2,2]]=>1 [[2,2,1,1],[2,1,1]]=>1 [[2,2,1,1],[1,1,1,1]]=>1 [[2,1,1,1,1],[1],[1],[1],[1]]=>1 [[2,1,1,1,1],[2],[1],[1]]=>1 [[2,1,1,1,1],[2],[2]]=>1 [[2,1,1,1,1],[1,1],[1],[1]]=>1 [[2,1,1,1,1],[1,1],[1,1]]=>1 [[2,1,1,1,1],[2,1],[1]]=>1 [[2,1,1,1,1],[1,1,1],[1]]=>1 [[2,1,1,1,1],[2,1,1]]=>1 [[2,1,1,1,1],[1,1,1,1]]=>1 [[1,1,1,1,1,1],[1],[1],[1],[1]]=>0 [[1,1,1,1,1,1],[1,1],[1],[1]]=>0 [[1,1,1,1,1,1],[1,1],[1,1]]=>0 [[1,1,1,1,1,1],[1,1,1],[1]]=>0 [[1,1,1,1,1,1],[1,1,1,1]]=>0 [[7],[1],[1],[1]]=>6 [[7],[2],[1]]=>6 [[7],[3]]=>4 [[6,1],[1],[1],[1]]=>5 [[6,1],[2],[1]]=>5 [[6,1],[1,1],[1]]=>5 [[6,1],[3]]=>5 [[6,1],[2,1]]=>5 [[5,2],[1],[1],[1]]=>4 [[5,2],[2],[1]]=>4 [[5,2],[1,1],[1]]=>4 [[5,2],[3]]=>3 [[5,2],[2,1]]=>4 [[5,1,1],[1],[1],[1]]=>4 [[5,1,1],[2],[1]]=>4 [[5,1,1],[1,1],[1]]=>4 [[5,1,1],[3]]=>4 [[5,1,1],[2,1]]=>4 [[5,1,1],[1,1,1]]=>4 [[4,3],[1],[1],[1]]=>3 [[4,3],[2],[1]]=>3 [[4,3],[1,1],[1]]=>3 [[4,3],[3]]=>1 [[4,3],[2,1]]=>3 [[4,2,1],[1],[1],[1]]=>3 [[4,2,1],[2],[1]]=>3 [[4,2,1],[1,1],[1]]=>3 [[4,2,1],[3]]=>3 [[4,2,1],[2,1]]=>3 [[4,2,1],[1,1,1]]=>3 [[4,1,1,1],[1],[1],[1]]=>3 [[4,1,1,1],[2],[1]]=>3 [[4,1,1,1],[1,1],[1]]=>3 [[4,1,1,1],[3]]=>3 [[4,1,1,1],[2,1]]=>3 [[4,1,1,1],[1,1,1]]=>3 [[3,3,1],[1],[1],[1]]=>2 [[3,3,1],[2],[1]]=>2 [[3,3,1],[1,1],[1]]=>2 [[3,3,1],[3]]=>2 [[3,3,1],[2,1]]=>2 [[3,3,1],[1,1,1]]=>2 [[3,2,2],[1],[1],[1]]=>2 [[3,2,2],[2],[1]]=>2 [[3,2,2],[1,1],[1]]=>2 [[3,2,2],[3]]=>1 [[3,2,2],[2,1]]=>2 [[3,2,2],[1,1,1]]=>2 [[3,2,1,1],[1],[1],[1]]=>2 [[3,2,1,1],[2],[1]]=>2 [[3,2,1,1],[1,1],[1]]=>2 [[3,2,1,1],[3]]=>2 [[3,2,1,1],[2,1]]=>2 [[3,2,1,1],[1,1,1]]=>2 [[3,1,1,1,1],[1],[1],[1]]=>2 [[3,1,1,1,1],[2],[1]]=>2 [[3,1,1,1,1],[1,1],[1]]=>2 [[3,1,1,1,1],[3]]=>2 [[3,1,1,1,1],[2,1]]=>2 [[3,1,1,1,1],[1,1,1]]=>2 [[2,2,2,1],[1],[1],[1]]=>1 [[2,2,2,1],[2],[1]]=>1 [[2,2,2,1],[1,1],[1]]=>1 [[2,2,2,1],[2,1]]=>1 [[2,2,2,1],[1,1,1]]=>1 [[2,2,1,1,1],[1],[1],[1]]=>1 [[2,2,1,1,1],[2],[1]]=>1 [[2,2,1,1,1],[1,1],[1]]=>1 [[2,2,1,1,1],[2,1]]=>1 [[2,2,1,1,1],[1,1,1]]=>1 [[2,1,1,1,1,1],[1],[1],[1]]=>1 [[2,1,1,1,1,1],[2],[1]]=>1 [[2,1,1,1,1,1],[1,1],[1]]=>1 [[2,1,1,1,1,1],[2,1]]=>1 [[2,1,1,1,1,1],[1,1,1]]=>1 [[1,1,1,1,1,1,1],[1],[1],[1]]=>0 [[1,1,1,1,1,1,1],[1,1],[1]]=>0 [[1,1,1,1,1,1,1],[1,1,1]]=>0 [[8],[1],[1]]=>7 [[8],[2]]=>6 [[7,1],[1],[1]]=>6 [[7,1],[2]]=>6 [[7,1],[1,1]]=>6 [[6,2],[1],[1]]=>5 [[6,2],[2]]=>4 [[6,2],[1,1]]=>5 [[6,1,1],[1],[1]]=>5 [[6,1,1],[2]]=>5 [[6,1,1],[1,1]]=>5 [[5,3],[1],[1]]=>4 [[5,3],[2]]=>3 [[5,3],[1,1]]=>4 [[5,2,1],[1],[1]]=>4 [[5,2,1],[2]]=>4 [[5,2,1],[1,1]]=>4 [[5,1,1,1],[1],[1]]=>4 [[5,1,1,1],[2]]=>4 [[5,1,1,1],[1,1]]=>4 [[4,4],[1],[1]]=>3 [[4,4],[2]]=>2 [[4,4],[1,1]]=>3 [[4,3,1],[1],[1]]=>3 [[4,3,1],[2]]=>3 [[4,3,1],[1,1]]=>3 [[4,2,2],[1],[1]]=>3 [[4,2,2],[2]]=>2 [[4,2,2],[1,1]]=>3 [[4,2,1,1],[1],[1]]=>3 [[4,2,1,1],[2]]=>3 [[4,2,1,1],[1,1]]=>3 [[4,1,1,1,1],[1],[1]]=>3 [[4,1,1,1,1],[2]]=>3 [[4,1,1,1,1],[1,1]]=>3 [[3,3,2],[1],[1]]=>2 [[3,3,2],[2]]=>1 [[3,3,2],[1,1]]=>2 [[3,3,1,1],[1],[1]]=>2 [[3,3,1,1],[2]]=>2 [[3,3,1,1],[1,1]]=>2 [[3,2,2,1],[1],[1]]=>2 [[3,2,2,1],[2]]=>2 [[3,2,2,1],[1,1]]=>2 [[3,2,1,1,1],[1],[1]]=>2 [[3,2,1,1,1],[2]]=>2 [[3,2,1,1,1],[1,1]]=>2 [[3,1,1,1,1,1],[1],[1]]=>2 [[3,1,1,1,1,1],[2]]=>2 [[3,1,1,1,1,1],[1,1]]=>2 [[2,2,2,2],[1],[1]]=>1 [[2,2,2,2],[2]]=>0 [[2,2,2,2],[1,1]]=>1 [[2,2,2,1,1],[1],[1]]=>1 [[2,2,2,1,1],[2]]=>1 [[2,2,2,1,1],[1,1]]=>1 [[2,2,1,1,1,1],[1],[1]]=>1 [[2,2,1,1,1,1],[2]]=>1 [[2,2,1,1,1,1],[1,1]]=>1 [[2,1,1,1,1,1,1],[1],[1]]=>1 [[2,1,1,1,1,1,1],[2]]=>1 [[2,1,1,1,1,1,1],[1,1]]=>1 [[1,1,1,1,1,1,1,1],[1],[1]]=>0 [[1,1,1,1,1,1,1,1],[1,1]]=>0 [[9],[1]]=>8 [[8,1],[1]]=>7 [[7,2],[1]]=>6 [[7,1,1],[1]]=>6 [[6,3],[1]]=>5 [[6,2,1],[1]]=>5 [[6,1,1,1],[1]]=>5 [[5,4],[1]]=>4 [[5,3,1],[1]]=>4 [[5,2,2],[1]]=>4 [[5,2,1,1],[1]]=>4 [[5,1,1,1,1],[1]]=>4 [[4,4,1],[1]]=>3 [[4,3,2],[1]]=>3 [[4,3,1,1],[1]]=>3 [[4,2,2,1],[1]]=>3 [[4,2,1,1,1],[1]]=>3 [[4,1,1,1,1,1],[1]]=>3 [[3,3,3],[1]]=>2 [[3,3,2,1],[1]]=>2 [[3,3,1,1,1],[1]]=>2 [[3,2,2,2],[1]]=>2 [[3,2,2,1,1],[1]]=>2 [[3,2,1,1,1,1],[1]]=>2 [[3,1,1,1,1,1,1],[1]]=>2 [[2,2,2,2,1],[1]]=>1 [[2,2,2,1,1,1],[1]]=>1 [[2,2,1,1,1,1,1],[1]]=>1 [[2,1,1,1,1,1,1,1],[1]]=>1 [[1,1,1,1,1,1,1,1,1],[1]]=>0 [[10]]=>0 [[9,1]]=>8 [[8,2]]=>6 [[8,1,1]]=>7 [[7,3]]=>4 [[7,2,1]]=>6 [[7,1,1,1]]=>6 [[6,4]]=>2 [[6,3,1]]=>5 [[6,2,2]]=>4 [[6,2,1,1]]=>5 [[6,1,1,1,1]]=>5 [[5,5]]=>0 [[5,4,1]]=>4 [[5,3,2]]=>3 [[5,3,1,1]]=>4 [[5,2,2,1]]=>4 [[5,2,1,1,1]]=>4 [[5,1,1,1,1,1]]=>4 [[4,4,2]]=>2 [[4,4,1,1]]=>3 [[4,3,3]]=>1 [[4,3,2,1]]=>3 [[4,3,1,1,1]]=>3 [[4,2,2,2]]=>2 [[4,2,2,1,1]]=>3 [[4,2,1,1,1,1]]=>3 [[4,1,1,1,1,1,1]]=>3 [[3,3,3,1]]=>2 [[3,3,2,2]]=>1 [[3,3,2,1,1]]=>2 [[3,3,1,1,1,1]]=>2 [[3,2,2,2,1]]=>2 [[3,2,2,1,1,1]]=>2 [[3,2,1,1,1,1,1]]=>2 [[3,1,1,1,1,1,1,1]]=>2 [[2,2,2,2,2]]=>0 [[2,2,2,2,1,1]]=>1 [[2,2,2,1,1,1,1]]=>1 [[2,2,1,1,1,1,1,1]]=>1 [[2,1,1,1,1,1,1,1,1]]=>1 [[1,1,1,1,1,1,1,1,1,1]]=>0
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Description
The difference between the largest and smallest heights of a plane partition.
Code
def statistic(P):
    heights = [height for row in P for height in row]
    return max(heights) - min(heights)
Created
Jul 26, 2019 at 17:56 by Joseph Bernstein
Updated
Jul 27, 2019 at 16:30 by Christian Stump