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Identifier
Values
=>
Cc0028;cc-rep
[[1],[]]=>0 [[2],[]]=>0 [[1,1],[]]=>0 [[2,1],[1]]=>0 [[3],[]]=>0 [[2,1],[]]=>0 [[3,1],[1]]=>0 [[2,2],[1]]=>0 [[3,2],[2]]=>0 [[1,1,1],[]]=>0 [[2,2,1],[1,1]]=>0 [[2,1,1],[1]]=>0 [[3,2,1],[2,1]]=>0 [[4],[]]=>0 [[3,1],[]]=>0 [[4,1],[1]]=>0 [[2,2],[]]=>1 [[3,2],[1]]=>0 [[4,2],[2]]=>0 [[2,1,1],[]]=>0 [[3,2,1],[1,1]]=>0 [[3,1,1],[1]]=>0 [[4,2,1],[2,1]]=>0 [[3,3],[2]]=>0 [[4,3],[3]]=>0 [[2,2,1],[1]]=>0 [[3,3,1],[2,1]]=>0 [[3,2,1],[2]]=>0 [[4,3,1],[3,1]]=>0 [[2,2,2],[1,1]]=>0 [[3,3,2],[2,2]]=>0 [[3,2,2],[2,1]]=>0 [[4,3,2],[3,2]]=>0 [[1,1,1,1],[]]=>0 [[2,2,2,1],[1,1,1]]=>0 [[2,2,1,1],[1,1]]=>0 [[3,3,2,1],[2,2,1]]=>0 [[2,1,1,1],[1]]=>0 [[3,2,2,1],[2,1,1]]=>0 [[3,2,1,1],[2,1]]=>0 [[4,3,2,1],[3,2,1]]=>0 [[5],[]]=>0 [[4,1],[]]=>0 [[5,1],[1]]=>0 [[3,2],[]]=>1 [[4,2],[1]]=>0 [[5,2],[2]]=>0 [[3,1,1],[]]=>0 [[4,2,1],[1,1]]=>0 [[4,1,1],[1]]=>0 [[5,2,1],[2,1]]=>0 [[3,3],[1]]=>1 [[4,3],[2]]=>0 [[5,3],[3]]=>0 [[2,2,1],[]]=>1 [[3,3,1],[1,1]]=>1 [[3,2,1],[1]]=>0 [[4,3,1],[2,1]]=>0 [[4,2,1],[2]]=>0 [[5,3,1],[3,1]]=>0 [[3,2,2],[1,1]]=>0 [[4,3,2],[2,2]]=>0 [[4,2,2],[2,1]]=>0 [[5,3,2],[3,2]]=>0 [[2,1,1,1],[]]=>0 [[3,2,2,1],[1,1,1]]=>0 [[3,2,1,1],[1,1]]=>0 [[4,3,2,1],[2,2,1]]=>0 [[3,1,1,1],[1]]=>0 [[4,2,2,1],[2,1,1]]=>0 [[4,2,1,1],[2,1]]=>0 [[5,3,2,1],[3,2,1]]=>0 [[4,4],[3]]=>0 [[5,4],[4]]=>0 [[3,3,1],[2]]=>0 [[4,4,1],[3,1]]=>0 [[4,3,1],[3]]=>0 [[5,4,1],[4,1]]=>0 [[2,2,2],[1]]=>1 [[3,3,2],[2,1]]=>0 [[4,4,2],[3,2]]=>0 [[3,2,2],[2]]=>1 [[4,3,2],[3,1]]=>0 [[5,4,2],[4,2]]=>0 [[2,2,1,1],[1]]=>0 [[3,3,2,1],[2,1,1]]=>0 [[3,3,1,1],[2,1]]=>0 [[4,4,2,1],[3,2,1]]=>0 [[3,2,1,1],[2]]=>0 [[4,3,2,1],[3,1,1]]=>0 [[4,3,1,1],[3,1]]=>0 [[5,4,2,1],[4,2,1]]=>0 [[3,3,3],[2,2]]=>0 [[4,4,3],[3,3]]=>0 [[4,3,3],[3,2]]=>0 [[5,4,3],[4,3]]=>0 [[2,2,2,1],[1,1]]=>0 [[3,3,3,1],[2,2,1]]=>0 [[3,3,2,1],[2,2]]=>0 [[4,4,3,1],[3,3,1]]=>0 [[3,2,2,1],[2,1]]=>0 [[4,3,3,1],[3,2,1]]=>0 [[4,3,2,1],[3,2]]=>0 [[5,4,3,1],[4,3,1]]=>0 [[2,2,2,2],[1,1,1]]=>0 [[3,3,3,2],[2,2,2]]=>0 [[3,3,2,2],[2,2,1]]=>0 [[4,4,3,2],[3,3,2]]=>0 [[3,2,2,2],[2,1,1]]=>0 [[4,3,3,2],[3,2,2]]=>0 [[4,3,2,2],[3,2,1]]=>0 [[5,4,3,2],[4,3,2]]=>0 [[1,1,1,1,1],[]]=>0 [[2,2,2,2,1],[1,1,1,1]]=>0 [[2,2,2,1,1],[1,1,1]]=>0 [[3,3,3,2,1],[2,2,2,1]]=>0 [[2,2,1,1,1],[1,1]]=>0 [[3,3,2,2,1],[2,2,1,1]]=>0 [[3,3,2,1,1],[2,2,1]]=>0 [[4,4,3,2,1],[3,3,2,1]]=>0 [[2,1,1,1,1],[1]]=>0 [[3,2,2,2,1],[2,1,1,1]]=>0 [[3,2,2,1,1],[2,1,1]]=>0 [[4,3,3,2,1],[3,2,2,1]]=>0 [[3,2,1,1,1],[2,1]]=>0 [[4,3,2,2,1],[3,2,1,1]]=>0 [[4,3,2,1,1],[3,2,1]]=>0 [[5,4,3,2,1],[4,3,2,1]]=>0 [[6],[]]=>0 [[5,1],[]]=>0 [[6,1],[1]]=>0 [[4,2],[]]=>1 [[5,2],[1]]=>0 [[6,2],[2]]=>0 [[4,1,1],[]]=>0 [[5,2,1],[1,1]]=>0 [[5,1,1],[1]]=>0 [[6,2,1],[2,1]]=>0 [[3,3],[]]=>2 [[4,3],[1]]=>1 [[5,3],[2]]=>0 [[6,3],[3]]=>0 [[3,2,1],[]]=>1 [[4,3,1],[1,1]]=>1 [[4,2,1],[1]]=>0 [[5,3,1],[2,1]]=>0 [[5,2,1],[2]]=>0 [[6,3,1],[3,1]]=>0 [[4,2,2],[1,1]]=>0 [[5,3,2],[2,2]]=>0 [[5,2,2],[2,1]]=>0 [[6,3,2],[3,2]]=>0 [[3,1,1,1],[]]=>0 [[4,2,2,1],[1,1,1]]=>0 [[4,2,1,1],[1,1]]=>0 [[5,3,2,1],[2,2,1]]=>0 [[4,1,1,1],[1]]=>0 [[5,2,2,1],[2,1,1]]=>0 [[5,2,1,1],[2,1]]=>0 [[6,3,2,1],[3,2,1]]=>0 [[4,4],[2]]=>1 [[5,4],[3]]=>0 [[6,4],[4]]=>0 [[3,3,1],[1]]=>1 [[4,4,1],[2,1]]=>1 [[4,3,1],[2]]=>0 [[5,4,1],[3,1]]=>0 [[5,3,1],[3]]=>0 [[6,4,1],[4,1]]=>0 [[2,2,2],[]]=>2 [[3,3,2],[1,1]]=>1 [[4,4,2],[2,2]]=>1 [[3,2,2],[1]]=>1 [[4,3,2],[2,1]]=>0 [[5,4,2],[3,2]]=>0 [[4,2,2],[2]]=>1 [[5,3,2],[3,1]]=>0 [[6,4,2],[4,2]]=>0 [[2,2,1,1],[]]=>1 [[3,3,2,1],[1,1,1]]=>1 [[3,3,1,1],[1,1]]=>1 [[4,4,2,1],[2,2,1]]=>1 [[3,2,1,1],[1]]=>0 [[4,3,2,1],[2,1,1]]=>0 [[4,3,1,1],[2,1]]=>0 [[5,4,2,1],[3,2,1]]=>0 [[4,2,1,1],[2]]=>0 [[5,3,2,1],[3,1,1]]=>0 [[5,3,1,1],[3,1]]=>0 [[6,4,2,1],[4,2,1]]=>0 [[4,3,3],[2,2]]=>0 [[5,4,3],[3,3]]=>0 [[5,3,3],[3,2]]=>0 [[6,4,3],[4,3]]=>0 [[3,2,2,1],[1,1]]=>0 [[4,3,3,1],[2,2,1]]=>0 [[4,3,2,1],[2,2]]=>0 [[5,4,3,1],[3,3,1]]=>0 [[4,2,2,1],[2,1]]=>0 [[5,3,3,1],[3,2,1]]=>0 [[5,3,2,1],[3,2]]=>0 [[6,4,3,1],[4,3,1]]=>0 [[3,2,2,2],[1,1,1]]=>0 [[4,3,3,2],[2,2,2]]=>0 [[4,3,2,2],[2,2,1]]=>0 [[5,4,3,2],[3,3,2]]=>0 [[4,2,2,2],[2,1,1]]=>0 [[5,3,3,2],[3,2,2]]=>0 [[5,3,2,2],[3,2,1]]=>0 [[6,4,3,2],[4,3,2]]=>0 [[2,1,1,1,1],[]]=>0 [[3,2,2,2,1],[1,1,1,1]]=>0 [[3,2,2,1,1],[1,1,1]]=>0 [[4,3,3,2,1],[2,2,2,1]]=>0 [[3,2,1,1,1],[1,1]]=>0 [[4,3,2,2,1],[2,2,1,1]]=>0 [[4,3,2,1,1],[2,2,1]]=>0 [[5,4,3,2,1],[3,3,2,1]]=>0 [[3,1,1,1,1],[1]]=>0 [[4,2,2,2,1],[2,1,1,1]]=>0 [[4,2,2,1,1],[2,1,1]]=>0 [[5,3,3,2,1],[3,2,2,1]]=>0 [[4,2,1,1,1],[2,1]]=>0 [[5,3,2,2,1],[3,2,1,1]]=>0 [[5,3,2,1,1],[3,2,1]]=>0 [[6,4,3,2,1],[4,3,2,1]]=>0 [[5,5],[4]]=>0 [[6,5],[5]]=>0 [[4,4,1],[3]]=>0 [[5,5,1],[4,1]]=>0 [[5,4,1],[4]]=>0 [[6,5,1],[5,1]]=>0 [[3,3,2],[2]]=>1 [[4,4,2],[3,1]]=>0 [[5,5,2],[4,2]]=>0 [[4,3,2],[3]]=>1 [[5,4,2],[4,1]]=>0 [[6,5,2],[5,2]]=>0 [[3,3,1,1],[2]]=>0 [[4,4,2,1],[3,1,1]]=>0 [[4,4,1,1],[3,1]]=>0 [[5,5,2,1],[4,2,1]]=>0 [[4,3,1,1],[3]]=>0 [[5,4,2,1],[4,1,1]]=>0 [[5,4,1,1],[4,1]]=>0 [[6,5,2,1],[5,2,1]]=>0 [[3,3,3],[2,1]]=>1 [[4,4,3],[3,2]]=>0 [[5,5,3],[4,3]]=>0 [[4,3,3],[3,1]]=>1 [[5,4,3],[4,2]]=>0 [[6,5,3],[5,3]]=>0 [[2,2,2,1],[1]]=>1 [[3,3,3,1],[2,1,1]]=>1 [[3,3,2,1],[2,1]]=>0 [[4,4,3,1],[3,2,1]]=>0 [[4,4,2,1],[3,2]]=>0 [[5,5,3,1],[4,3,1]]=>0 [[3,2,2,1],[2]]=>1 [[4,3,3,1],[3,1,1]]=>1 [[4,3,2,1],[3,1]]=>0 [[5,4,3,1],[4,2,1]]=>0 [[5,4,2,1],[4,2]]=>0 [[6,5,3,1],[5,3,1]]=>0 [[3,3,2,2],[2,1,1]]=>0 [[4,4,3,2],[3,2,2]]=>0 [[4,4,2,2],[3,2,1]]=>0 [[5,5,3,2],[4,3,2]]=>0 [[4,3,2,2],[3,1,1]]=>0 [[5,4,3,2],[4,2,2]]=>0 [[5,4,2,2],[4,2,1]]=>0 [[6,5,3,2],[5,3,2]]=>0 [[2,2,1,1,1],[1]]=>0 [[3,3,2,2,1],[2,1,1,1]]=>0 [[3,3,2,1,1],[2,1,1]]=>0 [[4,4,3,2,1],[3,2,2,1]]=>0 [[3,3,1,1,1],[2,1]]=>0 [[4,4,2,2,1],[3,2,1,1]]=>0 [[4,4,2,1,1],[3,2,1]]=>0 [[5,5,3,2,1],[4,3,2,1]]=>0 [[3,2,1,1,1],[2]]=>0 [[4,3,2,2,1],[3,1,1,1]]=>0 [[4,3,2,1,1],[3,1,1]]=>0 [[5,4,3,2,1],[4,2,2,1]]=>0 [[4,3,1,1,1],[3,1]]=>0 [[5,4,2,2,1],[4,2,1,1]]=>0 [[5,4,2,1,1],[4,2,1]]=>0 [[6,5,3,2,1],[5,3,2,1]]=>0 [[4,4,4],[3,3]]=>0 [[5,5,4],[4,4]]=>0 [[5,4,4],[4,3]]=>0 [[6,5,4],[5,4]]=>0 [[3,3,3,1],[2,2]]=>0 [[4,4,4,1],[3,3,1]]=>0 [[4,4,3,1],[3,3]]=>0 [[5,5,4,1],[4,4,1]]=>0 [[4,3,3,1],[3,2]]=>0 [[5,4,4,1],[4,3,1]]=>0 [[5,4,3,1],[4,3]]=>0 [[6,5,4,1],[5,4,1]]=>0 [[2,2,2,2],[1,1]]=>1 [[3,3,3,2],[2,2,1]]=>0 [[4,4,4,2],[3,3,2]]=>0 [[3,3,2,2],[2,2]]=>1 [[4,4,3,2],[3,3,1]]=>0 [[5,5,4,2],[4,4,2]]=>0 [[3,2,2,2],[2,1]]=>1 [[4,3,3,2],[3,2,1]]=>0 [[5,4,4,2],[4,3,2]]=>0 [[4,3,2,2],[3,2]]=>1 [[5,4,3,2],[4,3,1]]=>0 [[6,5,4,2],[5,4,2]]=>0 [[2,2,2,1,1],[1,1]]=>0 [[3,3,3,2,1],[2,2,1,1]]=>0 [[3,3,3,1,1],[2,2,1]]=>0 [[4,4,4,2,1],[3,3,2,1]]=>0 [[3,3,2,1,1],[2,2]]=>0 [[4,4,3,2,1],[3,3,1,1]]=>0 [[4,4,3,1,1],[3,3,1]]=>0 [[5,5,4,2,1],[4,4,2,1]]=>0 [[3,2,2,1,1],[2,1]]=>0 [[4,3,3,2,1],[3,2,1,1]]=>0 [[4,3,3,1,1],[3,2,1]]=>0 [[5,4,4,2,1],[4,3,2,1]]=>0 [[4,3,2,1,1],[3,2]]=>0 [[5,4,3,2,1],[4,3,1,1]]=>0 [[5,4,3,1,1],[4,3,1]]=>0 [[6,5,4,2,1],[5,4,2,1]]=>0 [[3,3,3,3],[2,2,2]]=>0 [[4,4,4,3],[3,3,3]]=>0 [[4,4,3,3],[3,3,2]]=>0 [[5,5,4,3],[4,4,3]]=>0 [[4,3,3,3],[3,2,2]]=>0 [[5,4,4,3],[4,3,3]]=>0 [[5,4,3,3],[4,3,2]]=>0 [[6,5,4,3],[5,4,3]]=>0 [[2,2,2,2,1],[1,1,1]]=>0 [[3,3,3,3,1],[2,2,2,1]]=>0 [[3,3,3,2,1],[2,2,2]]=>0 [[4,4,4,3,1],[3,3,3,1]]=>0 [[3,3,2,2,1],[2,2,1]]=>0 [[4,4,3,3,1],[3,3,2,1]]=>0 [[4,4,3,2,1],[3,3,2]]=>0 [[5,5,4,3,1],[4,4,3,1]]=>0 [[3,2,2,2,1],[2,1,1]]=>0 [[4,3,3,3,1],[3,2,2,1]]=>0 [[4,3,3,2,1],[3,2,2]]=>0 [[5,4,4,3,1],[4,3,3,1]]=>0 [[4,3,2,2,1],[3,2,1]]=>0 [[5,4,3,3,1],[4,3,2,1]]=>0 [[5,4,3,2,1],[4,3,2]]=>0 [[6,5,4,3,1],[5,4,3,1]]=>0 [[2,2,2,2,2],[1,1,1,1]]=>0 [[3,3,3,3,2],[2,2,2,2]]=>0 [[3,3,3,2,2],[2,2,2,1]]=>0 [[4,4,4,3,2],[3,3,3,2]]=>0 [[3,3,2,2,2],[2,2,1,1]]=>0 [[4,4,3,3,2],[3,3,2,2]]=>0 [[4,4,3,2,2],[3,3,2,1]]=>0 [[5,5,4,3,2],[4,4,3,2]]=>0 [[3,2,2,2,2],[2,1,1,1]]=>0 [[4,3,3,3,2],[3,2,2,2]]=>0 [[4,3,3,2,2],[3,2,2,1]]=>0 [[5,4,4,3,2],[4,3,3,2]]=>0 [[4,3,2,2,2],[3,2,1,1]]=>0 [[5,4,3,3,2],[4,3,2,2]]=>0 [[5,4,3,2,2],[4,3,2,1]]=>0 [[6,5,4,3,2],[5,4,3,2]]=>0 [[1,1,1,1,1,1],[]]=>0 [[2,2,2,2,2,1],[1,1,1,1,1]]=>0 [[2,2,2,2,1,1],[1,1,1,1]]=>0 [[3,3,3,3,2,1],[2,2,2,2,1]]=>0 [[2,2,2,1,1,1],[1,1,1]]=>0 [[3,3,3,2,2,1],[2,2,2,1,1]]=>0 [[3,3,3,2,1,1],[2,2,2,1]]=>0 [[4,4,4,3,2,1],[3,3,3,2,1]]=>0 [[2,2,1,1,1,1],[1,1]]=>0 [[3,3,2,2,2,1],[2,2,1,1,1]]=>0 [[3,3,2,2,1,1],[2,2,1,1]]=>0 [[4,4,3,3,2,1],[3,3,2,2,1]]=>0 [[3,3,2,1,1,1],[2,2,1]]=>0 [[4,4,3,2,2,1],[3,3,2,1,1]]=>0 [[4,4,3,2,1,1],[3,3,2,1]]=>0 [[5,5,4,3,2,1],[4,4,3,2,1]]=>0 [[2,1,1,1,1,1],[1]]=>0 [[3,2,2,2,2,1],[2,1,1,1,1]]=>0 [[3,2,2,2,1,1],[2,1,1,1]]=>0 [[4,3,3,3,2,1],[3,2,2,2,1]]=>0 [[3,2,2,1,1,1],[2,1,1]]=>0 [[4,3,3,2,2,1],[3,2,2,1,1]]=>0 [[4,3,3,2,1,1],[3,2,2,1]]=>0 [[5,4,4,3,2,1],[4,3,3,2,1]]=>0 [[3,2,1,1,1,1],[2,1]]=>0 [[4,3,2,2,2,1],[3,2,1,1,1]]=>0 [[4,3,2,2,1,1],[3,2,1,1]]=>0 [[5,4,3,3,2,1],[4,3,2,2,1]]=>0 [[4,3,2,1,1,1],[3,2,1]]=>0 [[5,4,3,2,2,1],[4,3,2,1,1]]=>0 [[5,4,3,2,1,1],[4,3,2,1]]=>0 [[6,5,4,3,2,1],[5,4,3,2,1]]=>0 [[7],[]]=>0 [[6,1],[]]=>0 [[7,1],[1]]=>0 [[5,2],[]]=>1 [[6,2],[1]]=>0 [[7,2],[2]]=>0 [[5,1,1],[]]=>0 [[6,2,1],[1,1]]=>0 [[6,1,1],[1]]=>0 [[7,2,1],[2,1]]=>0 [[4,3],[]]=>2 [[5,3],[1]]=>1 [[6,3],[2]]=>0 [[7,3],[3]]=>0 [[4,2,1],[]]=>1 [[5,3,1],[1,1]]=>1 [[5,2,1],[1]]=>0 [[6,3,1],[2,1]]=>0 [[6,2,1],[2]]=>0 [[7,3,1],[3,1]]=>0 [[5,2,2],[1,1]]=>0 [[6,3,2],[2,2]]=>0 [[6,2,2],[2,1]]=>0 [[7,3,2],[3,2]]=>0 [[4,1,1,1],[]]=>0 [[5,2,2,1],[1,1,1]]=>0 [[5,2,1,1],[1,1]]=>0 [[6,3,2,1],[2,2,1]]=>0 [[5,1,1,1],[1]]=>0 [[6,2,2,1],[2,1,1]]=>0 [[6,2,1,1],[2,1]]=>0 [[7,3,2,1],[3,2,1]]=>0 [[4,4],[1]]=>2 [[5,4],[2]]=>1 [[6,4],[3]]=>0 [[7,4],[4]]=>0 [[3,3,1],[]]=>2 [[4,4,1],[1,1]]=>2 [[4,3,1],[1]]=>1 [[5,4,1],[2,1]]=>1 [[5,3,1],[2]]=>0 [[6,4,1],[3,1]]=>0 [[6,3,1],[3]]=>0 [[7,4,1],[4,1]]=>0 [[3,2,2],[]]=>2 [[4,3,2],[1,1]]=>1 [[5,4,2],[2,2]]=>1 [[4,2,2],[1]]=>1 [[5,3,2],[2,1]]=>0 [[6,4,2],[3,2]]=>0 [[5,2,2],[2]]=>1 [[6,3,2],[3,1]]=>0 [[7,4,2],[4,2]]=>0 [[3,2,1,1],[]]=>1 [[4,3,2,1],[1,1,1]]=>1 [[4,3,1,1],[1,1]]=>1 [[5,4,2,1],[2,2,1]]=>1 [[4,2,1,1],[1]]=>0 [[5,3,2,1],[2,1,1]]=>0 [[5,3,1,1],[2,1]]=>0 [[6,4,2,1],[3,2,1]]=>0 [[5,2,1,1],[2]]=>0 [[6,3,2,1],[3,1,1]]=>0 [[6,3,1,1],[3,1]]=>0 [[7,4,2,1],[4,2,1]]=>0 [[5,3,3],[2,2]]=>0 [[6,4,3],[3,3]]=>0 [[6,3,3],[3,2]]=>0 [[7,4,3],[4,3]]=>0 [[4,2,2,1],[1,1]]=>0 [[5,3,3,1],[2,2,1]]=>0 [[5,3,2,1],[2,2]]=>0 [[6,4,3,1],[3,3,1]]=>0 [[5,2,2,1],[2,1]]=>0 [[6,3,3,1],[3,2,1]]=>0 [[6,3,2,1],[3,2]]=>0 [[7,4,3,1],[4,3,1]]=>0 [[4,2,2,2],[1,1,1]]=>0 [[5,3,3,2],[2,2,2]]=>0 [[5,3,2,2],[2,2,1]]=>0 [[6,4,3,2],[3,3,2]]=>0 [[5,2,2,2],[2,1,1]]=>0 [[6,3,3,2],[3,2,2]]=>0 [[6,3,2,2],[3,2,1]]=>0 [[7,4,3,2],[4,3,2]]=>0 [[3,1,1,1,1],[]]=>0 [[4,2,2,2,1],[1,1,1,1]]=>0 [[4,2,2,1,1],[1,1,1]]=>0 [[5,3,3,2,1],[2,2,2,1]]=>0 [[4,2,1,1,1],[1,1]]=>0 [[5,3,2,2,1],[2,2,1,1]]=>0 [[5,3,2,1,1],[2,2,1]]=>0 [[6,4,3,2,1],[3,3,2,1]]=>0 [[4,1,1,1,1],[1]]=>0 [[5,2,2,2,1],[2,1,1,1]]=>0 [[5,2,2,1,1],[2,1,1]]=>0 [[6,3,3,2,1],[3,2,2,1]]=>0 [[5,2,1,1,1],[2,1]]=>0 [[6,3,2,2,1],[3,2,1,1]]=>0 [[6,3,2,1,1],[3,2,1]]=>0 [[7,4,3,2,1],[4,3,2,1]]=>0 [[5,5],[3]]=>1 [[6,5],[4]]=>0 [[7,5],[5]]=>0 [[4,4,1],[2]]=>1 [[5,5,1],[3,1]]=>1 [[5,4,1],[3]]=>0 [[6,5,1],[4,1]]=>0 [[6,4,1],[4]]=>0 [[7,5,1],[5,1]]=>0 [[3,3,2],[1]]=>2 [[4,4,2],[2,1]]=>1 [[5,5,2],[3,2]]=>1 [[4,3,2],[2]]=>1 [[5,4,2],[3,1]]=>0 [[6,5,2],[4,2]]=>0 [[5,3,2],[3]]=>1 [[6,4,2],[4,1]]=>0 [[7,5,2],[5,2]]=>0 [[3,3,1,1],[1]]=>1 [[4,4,2,1],[2,1,1]]=>1 [[4,4,1,1],[2,1]]=>1 [[5,5,2,1],[3,2,1]]=>1 [[4,3,1,1],[2]]=>0 [[5,4,2,1],[3,1,1]]=>0 [[5,4,1,1],[3,1]]=>0 [[6,5,2,1],[4,2,1]]=>0 [[5,3,1,1],[3]]=>0 [[6,4,2,1],[4,1,1]]=>0 [[6,4,1,1],[4,1]]=>0 [[7,5,2,1],[5,2,1]]=>0 [[3,3,3],[1,1]]=>2 [[4,4,3],[2,2]]=>1 [[5,5,3],[3,3]]=>1 [[4,3,3],[2,1]]=>1 [[5,4,3],[3,2]]=>0 [[6,5,3],[4,3]]=>0 [[5,3,3],[3,1]]=>1 [[6,4,3],[4,2]]=>0 [[7,5,3],[5,3]]=>0 [[2,2,2,1],[]]=>2 [[3,3,3,1],[1,1,1]]=>2 [[3,3,2,1],[1,1]]=>1 [[4,4,3,1],[2,2,1]]=>1 [[4,4,2,1],[2,2]]=>1 [[5,5,3,1],[3,3,1]]=>1 [[3,2,2,1],[1]]=>1 [[4,3,3,1],[2,1,1]]=>1 [[4,3,2,1],[2,1]]=>0 [[5,4,3,1],[3,2,1]]=>0 [[5,4,2,1],[3,2]]=>0 [[6,5,3,1],[4,3,1]]=>0 [[4,2,2,1],[2]]=>1 [[5,3,3,1],[3,1,1]]=>1 [[5,3,2,1],[3,1]]=>0 [[6,4,3,1],[4,2,1]]=>0 [[6,4,2,1],[4,2]]=>0 [[7,5,3,1],[5,3,1]]=>0 [[3,3,2,2],[1,1,1]]=>1 [[4,4,3,2],[2,2,2]]=>1 [[4,4,2,2],[2,2,1]]=>1 [[5,5,3,2],[3,3,2]]=>1 [[4,3,2,2],[2,1,1]]=>0 [[5,4,3,2],[3,2,2]]=>0 [[5,4,2,2],[3,2,1]]=>0 [[6,5,3,2],[4,3,2]]=>0 [[5,3,2,2],[3,1,1]]=>0 [[6,4,3,2],[4,2,2]]=>0 [[6,4,2,2],[4,2,1]]=>0 [[7,5,3,2],[5,3,2]]=>0 [[2,2,1,1,1],[]]=>1 [[3,3,2,2,1],[1,1,1,1]]=>1 [[3,3,2,1,1],[1,1,1]]=>1 [[4,4,3,2,1],[2,2,2,1]]=>1 [[3,3,1,1,1],[1,1]]=>1 [[4,4,2,2,1],[2,2,1,1]]=>1 [[4,4,2,1,1],[2,2,1]]=>1 [[5,5,3,2,1],[3,3,2,1]]=>1 [[3,2,1,1,1],[1]]=>0 [[4,3,2,2,1],[2,1,1,1]]=>0 [[4,3,2,1,1],[2,1,1]]=>0 [[5,4,3,2,1],[3,2,2,1]]=>0 [[4,3,1,1,1],[2,1]]=>0 [[5,4,2,2,1],[3,2,1,1]]=>0 [[5,4,2,1,1],[3,2,1]]=>0 [[6,5,3,2,1],[4,3,2,1]]=>0 [[4,2,1,1,1],[2]]=>0 [[5,3,2,2,1],[3,1,1,1]]=>0 [[5,3,2,1,1],[3,1,1]]=>0 [[6,4,3,2,1],[4,2,2,1]]=>0 [[5,3,1,1,1],[3,1]]=>0 [[6,4,2,2,1],[4,2,1,1]]=>0 [[6,4,2,1,1],[4,2,1]]=>0 [[7,5,3,2,1],[5,3,2,1]]=>0 [[5,4,4],[3,3]]=>0 [[6,5,4],[4,4]]=>0 [[6,4,4],[4,3]]=>0 [[7,5,4],[5,4]]=>0 [[4,3,3,1],[2,2]]=>0 [[5,4,4,1],[3,3,1]]=>0 [[5,4,3,1],[3,3]]=>0 [[6,5,4,1],[4,4,1]]=>0 [[5,3,3,1],[3,2]]=>0 [[6,4,4,1],[4,3,1]]=>0 [[6,4,3,1],[4,3]]=>0 [[7,5,4,1],[5,4,1]]=>0 [[3,2,2,2],[1,1]]=>1 [[4,3,3,2],[2,2,1]]=>0 [[5,4,4,2],[3,3,2]]=>0 [[4,3,2,2],[2,2]]=>1 [[5,4,3,2],[3,3,1]]=>0 [[6,5,4,2],[4,4,2]]=>0 [[4,2,2,2],[2,1]]=>1 [[5,3,3,2],[3,2,1]]=>0 [[6,4,4,2],[4,3,2]]=>0 [[5,3,2,2],[3,2]]=>1 [[6,4,3,2],[4,3,1]]=>0 [[7,5,4,2],[5,4,2]]=>0 [[3,2,2,1,1],[1,1]]=>0 [[4,3,3,2,1],[2,2,1,1]]=>0 [[4,3,3,1,1],[2,2,1]]=>0 [[5,4,4,2,1],[3,3,2,1]]=>0 [[4,3,2,1,1],[2,2]]=>0 [[5,4,3,2,1],[3,3,1,1]]=>0 [[5,4,3,1,1],[3,3,1]]=>0 [[6,5,4,2,1],[4,4,2,1]]=>0 [[4,2,2,1,1],[2,1]]=>0 [[5,3,3,2,1],[3,2,1,1]]=>0 [[5,3,3,1,1],[3,2,1]]=>0 [[6,4,4,2,1],[4,3,2,1]]=>0 [[5,3,2,1,1],[3,2]]=>0 [[6,4,3,2,1],[4,3,1,1]]=>0 [[6,4,3,1,1],[4,3,1]]=>0 [[7,5,4,2,1],[5,4,2,1]]=>0 [[4,3,3,3],[2,2,2]]=>0 [[5,4,4,3],[3,3,3]]=>0 [[5,4,3,3],[3,3,2]]=>0 [[6,5,4,3],[4,4,3]]=>0 [[5,3,3,3],[3,2,2]]=>0 [[6,4,4,3],[4,3,3]]=>0 [[6,4,3,3],[4,3,2]]=>0 [[7,5,4,3],[5,4,3]]=>0 [[3,2,2,2,1],[1,1,1]]=>0 [[4,3,3,3,1],[2,2,2,1]]=>0 [[4,3,3,2,1],[2,2,2]]=>0 [[5,4,4,3,1],[3,3,3,1]]=>0 [[4,3,2,2,1],[2,2,1]]=>0 [[5,4,3,3,1],[3,3,2,1]]=>0 [[5,4,3,2,1],[3,3,2]]=>0 [[6,5,4,3,1],[4,4,3,1]]=>0 [[4,2,2,2,1],[2,1,1]]=>0 [[5,3,3,3,1],[3,2,2,1]]=>0 [[5,3,3,2,1],[3,2,2]]=>0 [[6,4,4,3,1],[4,3,3,1]]=>0 [[5,3,2,2,1],[3,2,1]]=>0 [[6,4,3,3,1],[4,3,2,1]]=>0 [[6,4,3,2,1],[4,3,2]]=>0 [[7,5,4,3,1],[5,4,3,1]]=>0 [[3,2,2,2,2],[1,1,1,1]]=>0 [[4,3,3,3,2],[2,2,2,2]]=>0 [[4,3,3,2,2],[2,2,2,1]]=>0 [[5,4,4,3,2],[3,3,3,2]]=>0 [[4,3,2,2,2],[2,2,1,1]]=>0 [[5,4,3,3,2],[3,3,2,2]]=>0 [[5,4,3,2,2],[3,3,2,1]]=>0 [[6,5,4,3,2],[4,4,3,2]]=>0 [[4,2,2,2,2],[2,1,1,1]]=>0 [[5,3,3,3,2],[3,2,2,2]]=>0 [[5,3,3,2,2],[3,2,2,1]]=>0 [[6,4,4,3,2],[4,3,3,2]]=>0 [[5,3,2,2,2],[3,2,1,1]]=>0 [[6,4,3,3,2],[4,3,2,2]]=>0 [[6,4,3,2,2],[4,3,2,1]]=>0 [[7,5,4,3,2],[5,4,3,2]]=>0 [[2,1,1,1,1,1],[]]=>0 [[3,2,2,2,2,1],[1,1,1,1,1]]=>0 [[3,2,2,2,1,1],[1,1,1,1]]=>0 [[4,3,3,3,2,1],[2,2,2,2,1]]=>0 [[3,2,2,1,1,1],[1,1,1]]=>0 [[4,3,3,2,2,1],[2,2,2,1,1]]=>0 [[4,3,3,2,1,1],[2,2,2,1]]=>0 [[5,4,4,3,2,1],[3,3,3,2,1]]=>0 [[3,2,1,1,1,1],[1,1]]=>0 [[4,3,2,2,2,1],[2,2,1,1,1]]=>0 [[4,3,2,2,1,1],[2,2,1,1]]=>0 [[5,4,3,3,2,1],[3,3,2,2,1]]=>0 [[4,3,2,1,1,1],[2,2,1]]=>0 [[5,4,3,2,2,1],[3,3,2,1,1]]=>0 [[5,4,3,2,1,1],[3,3,2,1]]=>0 [[6,5,4,3,2,1],[4,4,3,2,1]]=>0 [[3,1,1,1,1,1],[1]]=>0 [[4,2,2,2,2,1],[2,1,1,1,1]]=>0 [[4,2,2,2,1,1],[2,1,1,1]]=>0 [[5,3,3,3,2,1],[3,2,2,2,1]]=>0 [[4,2,2,1,1,1],[2,1,1]]=>0 [[5,3,3,2,2,1],[3,2,2,1,1]]=>0 [[5,3,3,2,1,1],[3,2,2,1]]=>0 [[6,4,4,3,2,1],[4,3,3,2,1]]=>0 [[4,2,1,1,1,1],[2,1]]=>0 [[5,3,2,2,2,1],[3,2,1,1,1]]=>0 [[5,3,2,2,1,1],[3,2,1,1]]=>0 [[6,4,3,3,2,1],[4,3,2,2,1]]=>0 [[5,3,2,1,1,1],[3,2,1]]=>0 [[6,4,3,2,2,1],[4,3,2,1,1]]=>0 [[6,4,3,2,1,1],[4,3,2,1]]=>0 [[7,5,4,3,2,1],[5,4,3,2,1]]=>0 [[6,6],[5]]=>0 [[7,6],[6]]=>0 [[5,5,1],[4]]=>0 [[6,6,1],[5,1]]=>0 [[6,5,1],[5]]=>0 [[7,6,1],[6,1]]=>0 [[4,4,2],[3]]=>1 [[5,5,2],[4,1]]=>0 [[6,6,2],[5,2]]=>0 [[5,4,2],[4]]=>1 [[6,5,2],[5,1]]=>0 [[7,6,2],[6,2]]=>0 [[4,4,1,1],[3]]=>0 [[5,5,2,1],[4,1,1]]=>0 [[5,5,1,1],[4,1]]=>0 [[6,6,2,1],[5,2,1]]=>0 [[5,4,1,1],[4]]=>0 [[6,5,2,1],[5,1,1]]=>0 [[6,5,1,1],[5,1]]=>0 [[7,6,2,1],[6,2,1]]=>0 [[3,3,3],[2]]=>2 [[4,4,3],[3,1]]=>1 [[5,5,3],[4,2]]=>0 [[6,6,3],[5,3]]=>0 [[4,3,3],[3]]=>2 [[5,4,3],[4,1]]=>1 [[6,5,3],[5,2]]=>0 [[7,6,3],[6,3]]=>0 [[3,3,2,1],[2]]=>1 [[4,4,3,1],[3,1,1]]=>1 [[4,4,2,1],[3,1]]=>0 [[5,5,3,1],[4,2,1]]=>0 [[5,5,2,1],[4,2]]=>0 [[6,6,3,1],[5,3,1]]=>0 [[4,3,2,1],[3]]=>1 [[5,4,3,1],[4,1,1]]=>1 [[5,4,2,1],[4,1]]=>0 [[6,5,3,1],[5,2,1]]=>0 [[6,5,2,1],[5,2]]=>0 [[7,6,3,1],[6,3,1]]=>0 [[4,4,2,2],[3,1,1]]=>0 [[5,5,3,2],[4,2,2]]=>0 [[5,5,2,2],[4,2,1]]=>0 [[6,6,3,2],[5,3,2]]=>0 [[5,4,2,2],[4,1,1]]=>0 [[6,5,3,2],[5,2,2]]=>0 [[6,5,2,2],[5,2,1]]=>0 [[7,6,3,2],[6,3,2]]=>0 [[3,3,1,1,1],[2]]=>0 [[4,4,2,2,1],[3,1,1,1]]=>0 [[4,4,2,1,1],[3,1,1]]=>0 [[5,5,3,2,1],[4,2,2,1]]=>0 [[4,4,1,1,1],[3,1]]=>0 [[5,5,2,2,1],[4,2,1,1]]=>0 [[5,5,2,1,1],[4,2,1]]=>0 [[6,6,3,2,1],[5,3,2,1]]=>0 [[4,3,1,1,1],[3]]=>0 [[5,4,2,2,1],[4,1,1,1]]=>0 [[5,4,2,1,1],[4,1,1]]=>0 [[6,5,3,2,1],[5,2,2,1]]=>0 [[5,4,1,1,1],[4,1]]=>0 [[6,5,2,2,1],[5,2,1,1]]=>0 [[6,5,2,1,1],[5,2,1]]=>0 [[7,6,3,2,1],[6,3,2,1]]=>0 [[4,4,4],[3,2]]=>1 [[5,5,4],[4,3]]=>0 [[6,6,4],[5,4]]=>0 [[5,4,4],[4,2]]=>1 [[6,5,4],[5,3]]=>0 [[7,6,4],[6,4]]=>0 [[3,3,3,1],[2,1]]=>1 [[4,4,4,1],[3,2,1]]=>1 [[4,4,3,1],[3,2]]=>0 [[5,5,4,1],[4,3,1]]=>0 [[5,5,3,1],[4,3]]=>0 [[6,6,4,1],[5,4,1]]=>0 [[4,3,3,1],[3,1]]=>1 [[5,4,4,1],[4,2,1]]=>1 [[5,4,3,1],[4,2]]=>0 [[6,5,4,1],[5,3,1]]=>0 [[6,5,3,1],[5,3]]=>0 [[7,6,4,1],[6,4,1]]=>0 [[2,2,2,2],[1]]=>2 [[3,3,3,2],[2,1,1]]=>1 [[4,4,4,2],[3,2,2]]=>1 [[3,3,2,2],[2,1]]=>1 [[4,4,3,2],[3,2,1]]=>0 [[5,5,4,2],[4,3,2]]=>0 [[4,4,2,2],[3,2]]=>1 [[5,5,3,2],[4,3,1]]=>0 [[6,6,4,2],[5,4,2]]=>0 [[3,2,2,2],[2]]=>2 [[4,3,3,2],[3,1,1]]=>1 [[5,4,4,2],[4,2,2]]=>1 [[4,3,2,2],[3,1]]=>1 [[5,4,3,2],[4,2,1]]=>0 [[6,5,4,2],[5,3,2]]=>0 [[5,4,2,2],[4,2]]=>1 [[6,5,3,2],[5,3,1]]=>0 [[7,6,4,2],[6,4,2]]=>0 [[2,2,2,1,1],[1]]=>1 [[3,3,3,2,1],[2,1,1,1]]=>1 [[3,3,3,1,1],[2,1,1]]=>1 [[4,4,4,2,1],[3,2,2,1]]=>1 [[3,3,2,1,1],[2,1]]=>0 [[4,4,3,2,1],[3,2,1,1]]=>0 [[4,4,3,1,1],[3,2,1]]=>0 [[5,5,4,2,1],[4,3,2,1]]=>0 [[4,4,2,1,1],[3,2]]=>0 [[5,5,3,2,1],[4,3,1,1]]=>0 [[5,5,3,1,1],[4,3,1]]=>0 [[6,6,4,2,1],[5,4,2,1]]=>0 [[3,2,2,1,1],[2]]=>1 [[4,3,3,2,1],[3,1,1,1]]=>1 [[4,3,3,1,1],[3,1,1]]=>1 [[5,4,4,2,1],[4,2,2,1]]=>1 [[4,3,2,1,1],[3,1]]=>0 [[5,4,3,2,1],[4,2,1,1]]=>0 [[5,4,3,1,1],[4,2,1]]=>0 [[6,5,4,2,1],[5,3,2,1]]=>0 [[5,4,2,1,1],[4,2]]=>0 [[6,5,3,2,1],[5,3,1,1]]=>0 [[6,5,3,1,1],[5,3,1]]=>0 [[7,6,4,2,1],[6,4,2,1]]=>0 [[4,4,3,3],[3,2,2]]=>0 [[5,5,4,3],[4,3,3]]=>0 [[5,5,3,3],[4,3,2]]=>0 [[6,6,4,3],[5,4,3]]=>0 [[5,4,3,3],[4,2,2]]=>0 [[6,5,4,3],[5,3,3]]=>0 [[6,5,3,3],[5,3,2]]=>0 [[7,6,4,3],[6,4,3]]=>0 [[3,3,2,2,1],[2,1,1]]=>0 [[4,4,3,3,1],[3,2,2,1]]=>0 [[4,4,3,2,1],[3,2,2]]=>0 [[5,5,4,3,1],[4,3,3,1]]=>0 [[4,4,2,2,1],[3,2,1]]=>0 [[5,5,3,3,1],[4,3,2,1]]=>0 [[5,5,3,2,1],[4,3,2]]=>0 [[6,6,4,3,1],[5,4,3,1]]=>0 [[4,3,2,2,1],[3,1,1]]=>0 [[5,4,3,3,1],[4,2,2,1]]=>0 [[5,4,3,2,1],[4,2,2]]=>0 [[6,5,4,3,1],[5,3,3,1]]=>0 [[5,4,2,2,1],[4,2,1]]=>0 [[6,5,3,3,1],[5,3,2,1]]=>0 [[6,5,3,2,1],[5,3,2]]=>0 [[7,6,4,3,1],[6,4,3,1]]=>0 [[3,3,2,2,2],[2,1,1,1]]=>0 [[4,4,3,3,2],[3,2,2,2]]=>0 [[4,4,3,2,2],[3,2,2,1]]=>0 [[5,5,4,3,2],[4,3,3,2]]=>0 [[4,4,2,2,2],[3,2,1,1]]=>0 [[5,5,3,3,2],[4,3,2,2]]=>0 [[5,5,3,2,2],[4,3,2,1]]=>0 [[6,6,4,3,2],[5,4,3,2]]=>0 [[4,3,2,2,2],[3,1,1,1]]=>0 [[5,4,3,3,2],[4,2,2,2]]=>0 [[5,4,3,2,2],[4,2,2,1]]=>0 [[6,5,4,3,2],[5,3,3,2]]=>0 [[5,4,2,2,2],[4,2,1,1]]=>0 [[6,5,3,3,2],[5,3,2,2]]=>0 [[6,5,3,2,2],[5,3,2,1]]=>0 [[7,6,4,3,2],[6,4,3,2]]=>0 [[2,2,1,1,1,1],[1]]=>0 [[3,3,2,2,2,1],[2,1,1,1,1]]=>0 [[3,3,2,2,1,1],[2,1,1,1]]=>0 [[4,4,3,3,2,1],[3,2,2,2,1]]=>0 [[3,3,2,1,1,1],[2,1,1]]=>0 [[4,4,3,2,2,1],[3,2,2,1,1]]=>0 [[4,4,3,2,1,1],[3,2,2,1]]=>0 [[5,5,4,3,2,1],[4,3,3,2,1]]=>0 [[3,3,1,1,1,1],[2,1]]=>0 [[4,4,2,2,2,1],[3,2,1,1,1]]=>0 [[4,4,2,2,1,1],[3,2,1,1]]=>0 [[5,5,3,3,2,1],[4,3,2,2,1]]=>0 [[4,4,2,1,1,1],[3,2,1]]=>0 [[5,5,3,2,2,1],[4,3,2,1,1]]=>0 [[5,5,3,2,1,1],[4,3,2,1]]=>0 [[6,6,4,3,2,1],[5,4,3,2,1]]=>0 [[3,2,1,1,1,1],[2]]=>0 [[4,3,2,2,2,1],[3,1,1,1,1]]=>0 [[4,3,2,2,1,1],[3,1,1,1]]=>0 [[5,4,3,3,2,1],[4,2,2,2,1]]=>0 [[4,3,2,1,1,1],[3,1,1]]=>0 [[5,4,3,2,2,1],[4,2,2,1,1]]=>0 [[5,4,3,2,1,1],[4,2,2,1]]=>0 [[6,5,4,3,2,1],[5,3,3,2,1]]=>0 [[4,3,1,1,1,1],[3,1]]=>0 [[5,4,2,2,2,1],[4,2,1,1,1]]=>0 [[5,4,2,2,1,1],[4,2,1,1]]=>0 [[6,5,3,3,2,1],[5,3,2,2,1]]=>0 [[5,4,2,1,1,1],[4,2,1]]=>0 [[6,5,3,2,2,1],[5,3,2,1,1]]=>0 [[6,5,3,2,1,1],[5,3,2,1]]=>0 [[7,6,4,3,2,1],[6,4,3,2,1]]=>0 [[5,5,5],[4,4]]=>0 [[6,6,5],[5,5]]=>0 [[6,5,5],[5,4]]=>0 [[7,6,5],[6,5]]=>0 [[4,4,4,1],[3,3]]=>0 [[5,5,5,1],[4,4,1]]=>0 [[5,5,4,1],[4,4]]=>0 [[6,6,5,1],[5,5,1]]=>0 [[5,4,4,1],[4,3]]=>0 [[6,5,5,1],[5,4,1]]=>0 [[6,5,4,1],[5,4]]=>0 [[7,6,5,1],[6,5,1]]=>0 [[3,3,3,2],[2,2]]=>1 [[4,4,4,2],[3,3,1]]=>0 [[5,5,5,2],[4,4,2]]=>0 [[4,4,3,2],[3,3]]=>1 [[5,5,4,2],[4,4,1]]=>0 [[6,6,5,2],[5,5,2]]=>0 [[4,3,3,2],[3,2]]=>1 [[5,4,4,2],[4,3,1]]=>0 [[6,5,5,2],[5,4,2]]=>0 [[5,4,3,2],[4,3]]=>1 [[6,5,4,2],[5,4,1]]=>0 [[7,6,5,2],[6,5,2]]=>0 [[3,3,3,1,1],[2,2]]=>0 [[4,4,4,2,1],[3,3,1,1]]=>0 [[4,4,4,1,1],[3,3,1]]=>0 [[5,5,5,2,1],[4,4,2,1]]=>0 [[4,4,3,1,1],[3,3]]=>0 [[5,5,4,2,1],[4,4,1,1]]=>0 [[5,5,4,1,1],[4,4,1]]=>0 [[6,6,5,2,1],[5,5,2,1]]=>0 [[4,3,3,1,1],[3,2]]=>0 [[5,4,4,2,1],[4,3,1,1]]=>0 [[5,4,4,1,1],[4,3,1]]=>0 [[6,5,5,2,1],[5,4,2,1]]=>0 [[5,4,3,1,1],[4,3]]=>0 [[6,5,4,2,1],[5,4,1,1]]=>0 [[6,5,4,1,1],[5,4,1]]=>0 [[7,6,5,2,1],[6,5,2,1]]=>0 [[3,3,3,3],[2,2,1]]=>1 [[4,4,4,3],[3,3,2]]=>0 [[5,5,5,3],[4,4,3]]=>0 [[4,4,3,3],[3,3,1]]=>1 [[5,5,4,3],[4,4,2]]=>0 [[6,6,5,3],[5,5,3]]=>0 [[4,3,3,3],[3,2,1]]=>1 [[5,4,4,3],[4,3,2]]=>0 [[6,5,5,3],[5,4,3]]=>0 [[5,4,3,3],[4,3,1]]=>1 [[6,5,4,3],[5,4,2]]=>0 [[7,6,5,3],[6,5,3]]=>0 [[2,2,2,2,1],[1,1]]=>1 [[3,3,3,3,1],[2,2,1,1]]=>1 [[3,3,3,2,1],[2,2,1]]=>0 [[4,4,4,3,1],[3,3,2,1]]=>0 [[4,4,4,2,1],[3,3,2]]=>0 [[5,5,5,3,1],[4,4,3,1]]=>0 [[3,3,2,2,1],[2,2]]=>1 [[4,4,3,3,1],[3,3,1,1]]=>1 [[4,4,3,2,1],[3,3,1]]=>0 [[5,5,4,3,1],[4,4,2,1]]=>0 [[5,5,4,2,1],[4,4,2]]=>0 [[6,6,5,3,1],[5,5,3,1]]=>0 [[3,2,2,2,1],[2,1]]=>1 [[4,3,3,3,1],[3,2,1,1]]=>1 [[4,3,3,2,1],[3,2,1]]=>0 [[5,4,4,3,1],[4,3,2,1]]=>0 [[5,4,4,2,1],[4,3,2]]=>0 [[6,5,5,3,1],[5,4,3,1]]=>0 [[4,3,2,2,1],[3,2]]=>1 [[5,4,3,3,1],[4,3,1,1]]=>1 [[5,4,3,2,1],[4,3,1]]=>0 [[6,5,4,3,1],[5,4,2,1]]=>0 [[6,5,4,2,1],[5,4,2]]=>0 [[7,6,5,3,1],[6,5,3,1]]=>0 [[3,3,3,2,2],[2,2,1,1]]=>0 [[4,4,4,3,2],[3,3,2,2]]=>0 [[4,4,4,2,2],[3,3,2,1]]=>0 [[5,5,5,3,2],[4,4,3,2]]=>0 [[4,4,3,2,2],[3,3,1,1]]=>0 [[5,5,4,3,2],[4,4,2,2]]=>0 [[5,5,4,2,2],[4,4,2,1]]=>0 [[6,6,5,3,2],[5,5,3,2]]=>0 [[4,3,3,2,2],[3,2,1,1]]=>0 [[5,4,4,3,2],[4,3,2,2]]=>0 [[5,4,4,2,2],[4,3,2,1]]=>0 [[6,5,5,3,2],[5,4,3,2]]=>0 [[5,4,3,2,2],[4,3,1,1]]=>0 [[6,5,4,3,2],[5,4,2,2]]=>0 [[6,5,4,2,2],[5,4,2,1]]=>0 [[7,6,5,3,2],[6,5,3,2]]=>0 [[2,2,2,1,1,1],[1,1]]=>0 [[3,3,3,2,2,1],[2,2,1,1,1]]=>0 [[3,3,3,2,1,1],[2,2,1,1]]=>0 [[4,4,4,3,2,1],[3,3,2,2,1]]=>0 [[3,3,3,1,1,1],[2,2,1]]=>0 [[4,4,4,2,2,1],[3,3,2,1,1]]=>0 [[4,4,4,2,1,1],[3,3,2,1]]=>0 [[5,5,5,3,2,1],[4,4,3,2,1]]=>0 [[3,3,2,1,1,1],[2,2]]=>0 [[4,4,3,2,2,1],[3,3,1,1,1]]=>0 [[4,4,3,2,1,1],[3,3,1,1]]=>0 [[5,5,4,3,2,1],[4,4,2,2,1]]=>0 [[4,4,3,1,1,1],[3,3,1]]=>0 [[5,5,4,2,2,1],[4,4,2,1,1]]=>0 [[5,5,4,2,1,1],[4,4,2,1]]=>0 [[6,6,5,3,2,1],[5,5,3,2,1]]=>0 [[3,2,2,1,1,1],[2,1]]=>0 [[4,3,3,2,2,1],[3,2,1,1,1]]=>0 [[4,3,3,2,1,1],[3,2,1,1]]=>0 [[5,4,4,3,2,1],[4,3,2,2,1]]=>0 [[4,3,3,1,1,1],[3,2,1]]=>0 [[5,4,4,2,2,1],[4,3,2,1,1]]=>0 [[5,4,4,2,1,1],[4,3,2,1]]=>0 [[6,5,5,3,2,1],[5,4,3,2,1]]=>0 [[4,3,2,1,1,1],[3,2]]=>0 [[5,4,3,2,2,1],[4,3,1,1,1]]=>0 [[5,4,3,2,1,1],[4,3,1,1]]=>0 [[6,5,4,3,2,1],[5,4,2,2,1]]=>0 [[5,4,3,1,1,1],[4,3,1]]=>0 [[6,5,4,2,2,1],[5,4,2,1,1]]=>0 [[6,5,4,2,1,1],[5,4,2,1]]=>0 [[7,6,5,3,2,1],[6,5,3,2,1]]=>0 [[4,4,4,4],[3,3,3]]=>0 [[5,5,5,4],[4,4,4]]=>0 [[5,5,4,4],[4,4,3]]=>0 [[6,6,5,4],[5,5,4]]=>0 [[5,4,4,4],[4,3,3]]=>0 [[6,5,5,4],[5,4,4]]=>0 [[6,5,4,4],[5,4,3]]=>0 [[7,6,5,4],[6,5,4]]=>0 [[3,3,3,3,1],[2,2,2]]=>0 [[4,4,4,4,1],[3,3,3,1]]=>0 [[4,4,4,3,1],[3,3,3]]=>0 [[5,5,5,4,1],[4,4,4,1]]=>0 [[4,4,3,3,1],[3,3,2]]=>0 [[5,5,4,4,1],[4,4,3,1]]=>0 [[5,5,4,3,1],[4,4,3]]=>0 [[6,6,5,4,1],[5,5,4,1]]=>0 [[4,3,3,3,1],[3,2,2]]=>0 [[5,4,4,4,1],[4,3,3,1]]=>0 [[5,4,4,3,1],[4,3,3]]=>0 [[6,5,5,4,1],[5,4,4,1]]=>0 [[5,4,3,3,1],[4,3,2]]=>0 [[6,5,4,4,1],[5,4,3,1]]=>0 [[6,5,4,3,1],[5,4,3]]=>0 [[7,6,5,4,1],[6,5,4,1]]=>0 [[2,2,2,2,2],[1,1,1]]=>1 [[3,3,3,3,2],[2,2,2,1]]=>0 [[4,4,4,4,2],[3,3,3,2]]=>0 [[3,3,3,2,2],[2,2,2]]=>1 [[4,4,4,3,2],[3,3,3,1]]=>0 [[5,5,5,4,2],[4,4,4,2]]=>0 [[3,3,2,2,2],[2,2,1]]=>1 [[4,4,3,3,2],[3,3,2,1]]=>0 [[5,5,4,4,2],[4,4,3,2]]=>0 [[4,4,3,2,2],[3,3,2]]=>1 [[5,5,4,3,2],[4,4,3,1]]=>0 [[6,6,5,4,2],[5,5,4,2]]=>0 [[3,2,2,2,2],[2,1,1]]=>1 [[4,3,3,3,2],[3,2,2,1]]=>0 [[5,4,4,4,2],[4,3,3,2]]=>0 [[4,3,3,2,2],[3,2,2]]=>1 [[5,4,4,3,2],[4,3,3,1]]=>0 [[6,5,5,4,2],[5,4,4,2]]=>0 [[4,3,2,2,2],[3,2,1]]=>1 [[5,4,3,3,2],[4,3,2,1]]=>0 [[6,5,4,4,2],[5,4,3,2]]=>0 [[5,4,3,2,2],[4,3,2]]=>1 [[6,5,4,3,2],[5,4,3,1]]=>0 [[7,6,5,4,2],[6,5,4,2]]=>0 [[2,2,2,2,1,1],[1,1,1]]=>0 [[3,3,3,3,2,1],[2,2,2,1,1]]=>0 [[3,3,3,3,1,1],[2,2,2,1]]=>0 [[4,4,4,4,2,1],[3,3,3,2,1]]=>0 [[3,3,3,2,1,1],[2,2,2]]=>0 [[4,4,4,3,2,1],[3,3,3,1,1]]=>0 [[4,4,4,3,1,1],[3,3,3,1]]=>0 [[5,5,5,4,2,1],[4,4,4,2,1]]=>0 [[3,3,2,2,1,1],[2,2,1]]=>0 [[4,4,3,3,2,1],[3,3,2,1,1]]=>0 [[4,4,3,3,1,1],[3,3,2,1]]=>0 [[5,5,4,4,2,1],[4,4,3,2,1]]=>0 [[4,4,3,2,1,1],[3,3,2]]=>0 [[5,5,4,3,2,1],[4,4,3,1,1]]=>0 [[5,5,4,3,1,1],[4,4,3,1]]=>0 [[6,6,5,4,2,1],[5,5,4,2,1]]=>0 [[3,2,2,2,1,1],[2,1,1]]=>0 [[4,3,3,3,2,1],[3,2,2,1,1]]=>0 [[4,3,3,3,1,1],[3,2,2,1]]=>0 [[5,4,4,4,2,1],[4,3,3,2,1]]=>0 [[4,3,3,2,1,1],[3,2,2]]=>0 [[5,4,4,3,2,1],[4,3,3,1,1]]=>0 [[5,4,4,3,1,1],[4,3,3,1]]=>0 [[6,5,5,4,2,1],[5,4,4,2,1]]=>0 [[4,3,2,2,1,1],[3,2,1]]=>0 [[5,4,3,3,2,1],[4,3,2,1,1]]=>0 [[5,4,3,3,1,1],[4,3,2,1]]=>0 [[6,5,4,4,2,1],[5,4,3,2,1]]=>0 [[5,4,3,2,1,1],[4,3,2]]=>0 [[6,5,4,3,2,1],[5,4,3,1,1]]=>0 [[6,5,4,3,1,1],[5,4,3,1]]=>0 [[7,6,5,4,2,1],[6,5,4,2,1]]=>0 [[3,3,3,3,3],[2,2,2,2]]=>0 [[4,4,4,4,3],[3,3,3,3]]=>0 [[4,4,4,3,3],[3,3,3,2]]=>0 [[5,5,5,4,3],[4,4,4,3]]=>0 [[4,4,3,3,3],[3,3,2,2]]=>0 [[5,5,4,4,3],[4,4,3,3]]=>0 [[5,5,4,3,3],[4,4,3,2]]=>0 [[6,6,5,4,3],[5,5,4,3]]=>0 [[4,3,3,3,3],[3,2,2,2]]=>0 [[5,4,4,4,3],[4,3,3,3]]=>0 [[5,4,4,3,3],[4,3,3,2]]=>0 [[6,5,5,4,3],[5,4,4,3]]=>0 [[5,4,3,3,3],[4,3,2,2]]=>0 [[6,5,4,4,3],[5,4,3,3]]=>0 [[6,5,4,3,3],[5,4,3,2]]=>0 [[7,6,5,4,3],[6,5,4,3]]=>0 [[2,2,2,2,2,1],[1,1,1,1]]=>0 [[3,3,3,3,3,1],[2,2,2,2,1]]=>0 [[3,3,3,3,2,1],[2,2,2,2]]=>0 [[4,4,4,4,3,1],[3,3,3,3,1]]=>0 [[3,3,3,2,2,1],[2,2,2,1]]=>0 [[4,4,4,3,3,1],[3,3,3,2,1]]=>0 [[4,4,4,3,2,1],[3,3,3,2]]=>0 [[5,5,5,4,3,1],[4,4,4,3,1]]=>0 [[3,3,2,2,2,1],[2,2,1,1]]=>0 [[4,4,3,3,3,1],[3,3,2,2,1]]=>0 [[4,4,3,3,2,1],[3,3,2,2]]=>0 [[5,5,4,4,3,1],[4,4,3,3,1]]=>0 [[4,4,3,2,2,1],[3,3,2,1]]=>0 [[5,5,4,3,3,1],[4,4,3,2,1]]=>0 [[5,5,4,3,2,1],[4,4,3,2]]=>0 [[6,6,5,4,3,1],[5,5,4,3,1]]=>0 [[3,2,2,2,2,1],[2,1,1,1]]=>0 [[4,3,3,3,3,1],[3,2,2,2,1]]=>0 [[4,3,3,3,2,1],[3,2,2,2]]=>0 [[5,4,4,4,3,1],[4,3,3,3,1]]=>0 [[4,3,3,2,2,1],[3,2,2,1]]=>0 [[5,4,4,3,3,1],[4,3,3,2,1]]=>0 [[5,4,4,3,2,1],[4,3,3,2]]=>0 [[6,5,5,4,3,1],[5,4,4,3,1]]=>0 [[4,3,2,2,2,1],[3,2,1,1]]=>0 [[5,4,3,3,3,1],[4,3,2,2,1]]=>0 [[5,4,3,3,2,1],[4,3,2,2]]=>0 [[6,5,4,4,3,1],[5,4,3,3,1]]=>0 [[5,4,3,2,2,1],[4,3,2,1]]=>0 [[6,5,4,3,3,1],[5,4,3,2,1]]=>0 [[6,5,4,3,2,1],[5,4,3,2]]=>0 [[7,6,5,4,3,1],[6,5,4,3,1]]=>0 [[2,2,2,2,2,2],[1,1,1,1,1]]=>0 [[3,3,3,3,3,2],[2,2,2,2,2]]=>0 [[3,3,3,3,2,2],[2,2,2,2,1]]=>0 [[4,4,4,4,3,2],[3,3,3,3,2]]=>0 [[3,3,3,2,2,2],[2,2,2,1,1]]=>0 [[4,4,4,3,3,2],[3,3,3,2,2]]=>0 [[4,4,4,3,2,2],[3,3,3,2,1]]=>0 [[5,5,5,4,3,2],[4,4,4,3,2]]=>0 [[3,3,2,2,2,2],[2,2,1,1,1]]=>0 [[4,4,3,3,3,2],[3,3,2,2,2]]=>0 [[4,4,3,3,2,2],[3,3,2,2,1]]=>0 [[5,5,4,4,3,2],[4,4,3,3,2]]=>0 [[4,4,3,2,2,2],[3,3,2,1,1]]=>0 [[5,5,4,3,3,2],[4,4,3,2,2]]=>0 [[5,5,4,3,2,2],[4,4,3,2,1]]=>0 [[6,6,5,4,3,2],[5,5,4,3,2]]=>0 [[3,2,2,2,2,2],[2,1,1,1,1]]=>0 [[4,3,3,3,3,2],[3,2,2,2,2]]=>0 [[4,3,3,3,2,2],[3,2,2,2,1]]=>0 [[5,4,4,4,3,2],[4,3,3,3,2]]=>0 [[4,3,3,2,2,2],[3,2,2,1,1]]=>0 [[5,4,4,3,3,2],[4,3,3,2,2]]=>0 [[5,4,4,3,2,2],[4,3,3,2,1]]=>0 [[6,5,5,4,3,2],[5,4,4,3,2]]=>0 [[4,3,2,2,2,2],[3,2,1,1,1]]=>0 [[5,4,3,3,3,2],[4,3,2,2,2]]=>0 [[5,4,3,3,2,2],[4,3,2,2,1]]=>0 [[6,5,4,4,3,2],[5,4,3,3,2]]=>0 [[5,4,3,2,2,2],[4,3,2,1,1]]=>0 [[6,5,4,3,3,2],[5,4,3,2,2]]=>0 [[6,5,4,3,2,2],[5,4,3,2,1]]=>0 [[7,6,5,4,3,2],[6,5,4,3,2]]=>0 [[1,1,1,1,1,1,1],[]]=>0 [[2,2,2,2,2,2,1],[1,1,1,1,1,1]]=>0 [[2,2,2,2,2,1,1],[1,1,1,1,1]]=>0 [[3,3,3,3,3,2,1],[2,2,2,2,2,1]]=>0 [[2,2,2,2,1,1,1],[1,1,1,1]]=>0 [[3,3,3,3,2,2,1],[2,2,2,2,1,1]]=>0 [[3,3,3,3,2,1,1],[2,2,2,2,1]]=>0 [[4,4,4,4,3,2,1],[3,3,3,3,2,1]]=>0 [[2,2,2,1,1,1,1],[1,1,1]]=>0 [[3,3,3,2,2,2,1],[2,2,2,1,1,1]]=>0 [[3,3,3,2,2,1,1],[2,2,2,1,1]]=>0 [[4,4,4,3,3,2,1],[3,3,3,2,2,1]]=>0 [[3,3,3,2,1,1,1],[2,2,2,1]]=>0 [[4,4,4,3,2,2,1],[3,3,3,2,1,1]]=>0
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Description
The number of two-by-two squares inside a skew partition.
This is, the number of cells $(i,j)$ in a skew partition for which the box $(i+1,j+1)$ is also a cell inside the skew partition.
Code
def statistic(L):
    cs = L.cells()
    return sum(1 for a,b in cs if (a+1,b+1) in cs)
Created
Sep 23, 2020 at 20:42 by Christian Stump
Updated
Sep 23, 2020 at 20:42 by Christian Stump