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Identifier
Values
=>
Cc0019;cc-rep
[[1,2]]=>0 [[2,2]]=>1 [[1],[2]]=>2 [[1,3]]=>0 [[2,3]]=>0 [[3,3]]=>1 [[1],[3]]=>2 [[2],[3]]=>2 [[1,4]]=>0 [[2,4]]=>0 [[3,4]]=>0 [[4,4]]=>1 [[1],[4]]=>2 [[2],[4]]=>2 [[3],[4]]=>2 [[1,5]]=>0 [[2,5]]=>0 [[3,5]]=>0 [[4,5]]=>0 [[5,5]]=>1 [[1],[5]]=>2 [[2],[5]]=>2 [[3],[5]]=>2 [[4],[5]]=>2 [[1,6]]=>0 [[2,6]]=>0 [[3,6]]=>0 [[4,6]]=>0 [[5,6]]=>0 [[6,6]]=>1 [[1],[6]]=>2 [[2],[6]]=>2 [[3],[6]]=>2 [[4],[6]]=>2 [[5],[6]]=>2 [[1,7]]=>0 [[2,7]]=>0 [[3,7]]=>0 [[4,7]]=>0 [[5,7]]=>0 [[6,7]]=>0 [[7,7]]=>1 [[1],[7]]=>2 [[2],[7]]=>2 [[3],[7]]=>2 [[4],[7]]=>2 [[5],[7]]=>2 [[6],[7]]=>2 [[1,8]]=>0 [[2,8]]=>0 [[3,8]]=>0 [[4,8]]=>0 [[5,8]]=>0 [[6,8]]=>0 [[7,8]]=>0 [[8,8]]=>1 [[1],[8]]=>2 [[2],[8]]=>2 [[3],[8]]=>2 [[4],[8]]=>2 [[5],[8]]=>2 [[6],[8]]=>2 [[7],[8]]=>2 [[1,1,2]]=>0 [[1,2,2]]=>0 [[2,2,2]]=>1 [[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]]=>1 [[1,1],[3]]=>1 [[1,2],[3]]=>1 [[1,3],[2]]=>0 [[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]]=>1 [[1,1],[4]]=>1 [[1,2],[4]]=>1 [[1,4],[2]]=>0 [[1,3],[4]]=>1 [[1,4],[3]]=>0 [[1,4],[4]]=>1 [[2,2],[4]]=>1 [[2,3],[4]]=>1 [[2,4],[3]]=>0 [[2,4],[4]]=>1 [[3,3],[4]]=>1 [[3,4],[4]]=>1 [[1],[2],[4]]=>3 [[1],[3],[4]]=>3 [[2],[3],[4]]=>3 [[1,1,5]]=>0 [[1,2,5]]=>0 [[1,3,5]]=>0 [[1,4,5]]=>0 [[1,5,5]]=>0 [[2,2,5]]=>0 [[2,3,5]]=>0 [[2,4,5]]=>0 [[2,5,5]]=>0 [[3,3,5]]=>0 [[3,4,5]]=>0 [[3,5,5]]=>0 [[4,4,5]]=>0 [[4,5,5]]=>0 [[5,5,5]]=>1 [[1,1],[5]]=>1 [[1,2],[5]]=>1 [[1,5],[2]]=>0 [[1,3],[5]]=>1 [[1,5],[3]]=>0 [[1,4],[5]]=>1 [[1,5],[4]]=>0 [[1,5],[5]]=>1 [[2,2],[5]]=>1 [[2,3],[5]]=>1 [[2,5],[3]]=>0 [[2,4],[5]]=>1 [[2,5],[4]]=>0 [[2,5],[5]]=>1 [[3,3],[5]]=>1 [[3,4],[5]]=>1 [[3,5],[4]]=>0 [[3,5],[5]]=>1 [[4,4],[5]]=>1 [[4,5],[5]]=>1 [[1],[2],[5]]=>3 [[1],[3],[5]]=>3 [[1],[4],[5]]=>3 [[2],[3],[5]]=>3 [[2],[4],[5]]=>3 [[3],[4],[5]]=>3 [[1,1,6]]=>0 [[1,2,6]]=>0 [[1,3,6]]=>0 [[1,4,6]]=>0 [[1,5,6]]=>0 [[1,6,6]]=>0 [[2,2,6]]=>0 [[2,3,6]]=>0 [[2,4,6]]=>0 [[2,5,6]]=>0 [[2,6,6]]=>0 [[3,3,6]]=>0 [[3,4,6]]=>0 [[3,5,6]]=>0 [[3,6,6]]=>0 [[4,4,6]]=>0 [[4,5,6]]=>0 [[4,6,6]]=>0 [[5,5,6]]=>0 [[5,6,6]]=>0 [[6,6,6]]=>1 [[1,1],[6]]=>1 [[1,2],[6]]=>1 [[1,6],[2]]=>0 [[1,3],[6]]=>1 [[1,6],[3]]=>0 [[1,4],[6]]=>1 [[1,6],[4]]=>0 [[1,5],[6]]=>1 [[1,6],[5]]=>0 [[1,6],[6]]=>1 [[2,2],[6]]=>1 [[2,3],[6]]=>1 [[2,6],[3]]=>0 [[2,4],[6]]=>1 [[2,6],[4]]=>0 [[2,5],[6]]=>1 [[2,6],[5]]=>0 [[2,6],[6]]=>1 [[3,3],[6]]=>1 [[3,4],[6]]=>1 [[3,6],[4]]=>0 [[3,5],[6]]=>1 [[3,6],[5]]=>0 [[3,6],[6]]=>1 [[4,4],[6]]=>1 [[4,5],[6]]=>1 [[4,6],[5]]=>0 [[4,6],[6]]=>1 [[5,5],[6]]=>1 [[5,6],[6]]=>1 [[1],[2],[6]]=>3 [[1],[3],[6]]=>3 [[1],[4],[6]]=>3 [[1],[5],[6]]=>3 [[2],[3],[6]]=>3 [[2],[4],[6]]=>3 [[2],[5],[6]]=>3 [[3],[4],[6]]=>3 [[3],[5],[6]]=>3 [[4],[5],[6]]=>3 [[1,1,7]]=>0 [[1,2,7]]=>0 [[1,3,7]]=>0 [[1,4,7]]=>0 [[1,5,7]]=>0 [[1,6,7]]=>0 [[1,7,7]]=>0 [[2,2,7]]=>0 [[2,3,7]]=>0 [[2,4,7]]=>0 [[2,5,7]]=>0 [[2,6,7]]=>0 [[2,7,7]]=>0 [[3,3,7]]=>0 [[3,4,7]]=>0 [[3,5,7]]=>0 [[3,6,7]]=>0 [[3,7,7]]=>0 [[4,4,7]]=>0 [[4,5,7]]=>0 [[4,6,7]]=>0 [[4,7,7]]=>0 [[5,5,7]]=>0 [[5,6,7]]=>0 [[5,7,7]]=>0 [[6,6,7]]=>0 [[6,7,7]]=>0 [[7,7,7]]=>1 [[1,1],[7]]=>1 [[1,2],[7]]=>1 [[1,7],[2]]=>0 [[1,3],[7]]=>1 [[1,7],[3]]=>0 [[1,4],[7]]=>1 [[1,7],[4]]=>0 [[1,5],[7]]=>1 [[1,7],[5]]=>0 [[1,6],[7]]=>1 [[1,7],[6]]=>0 [[1,7],[7]]=>1 [[2,2],[7]]=>1 [[2,3],[7]]=>1 [[2,7],[3]]=>0 [[2,4],[7]]=>1 [[2,7],[4]]=>0 [[2,5],[7]]=>1 [[2,7],[5]]=>0 [[2,6],[7]]=>1 [[2,7],[6]]=>0 [[2,7],[7]]=>1 [[3,3],[7]]=>1 [[3,4],[7]]=>1 [[3,7],[4]]=>0 [[3,5],[7]]=>1 [[3,7],[5]]=>0 [[3,6],[7]]=>1 [[3,7],[6]]=>0 [[3,7],[7]]=>1 [[4,4],[7]]=>1 [[4,5],[7]]=>1 [[4,7],[5]]=>0 [[4,6],[7]]=>1 [[4,7],[6]]=>0 [[4,7],[7]]=>1 [[5,5],[7]]=>1 [[5,6],[7]]=>1 [[5,7],[6]]=>0 [[5,7],[7]]=>1 [[6,6],[7]]=>1 [[6,7],[7]]=>1 [[1],[2],[7]]=>3 [[1],[3],[7]]=>3 [[1],[4],[7]]=>3 [[1],[5],[7]]=>3 [[1],[6],[7]]=>3 [[2],[3],[7]]=>3 [[2],[4],[7]]=>3 [[2],[5],[7]]=>3 [[2],[6],[7]]=>3 [[3],[4],[7]]=>3 [[3],[5],[7]]=>3 [[3],[6],[7]]=>3 [[4],[5],[7]]=>3 [[4],[6],[7]]=>3 [[5],[6],[7]]=>3 [[1,1,1,2]]=>0 [[1,1,2,2]]=>0 [[1,2,2,2]]=>0 [[2,2,2,2]]=>1 [[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]]=>1 [[1,1,1],[3]]=>1 [[1,1,2],[3]]=>1 [[1,1,3],[2]]=>0 [[1,1,3],[3]]=>1 [[1,2,2],[3]]=>1 [[1,2,3],[2]]=>0 [[1,2,3],[3]]=>1 [[1,3,3],[2]]=>0 [[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]]=>1 [[1,2],[3,3]]=>1 [[2,2],[3,3]]=>2 [[1,1],[2],[3]]=>1 [[1,2],[2],[3]]=>1 [[1,3],[2],[3]]=>1 [[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]]=>1 [[1,1,1],[4]]=>1 [[1,1,2],[4]]=>1 [[1,1,4],[2]]=>0 [[1,1,3],[4]]=>1 [[1,1,4],[3]]=>0 [[1,1,4],[4]]=>1 [[1,2,2],[4]]=>1 [[1,2,4],[2]]=>0 [[1,2,3],[4]]=>1 [[1,2,4],[3]]=>0 [[1,3,4],[2]]=>0 [[1,2,4],[4]]=>1 [[1,4,4],[2]]=>0 [[1,3,3],[4]]=>1 [[1,3,4],[3]]=>0 [[1,3,4],[4]]=>1 [[1,4,4],[3]]=>0 [[1,4,4],[4]]=>1 [[2,2,2],[4]]=>1 [[2,2,3],[4]]=>1 [[2,2,4],[3]]=>0 [[2,2,4],[4]]=>1 [[2,3,3],[4]]=>1 [[2,3,4],[3]]=>0 [[2,3,4],[4]]=>1 [[2,4,4],[3]]=>0 [[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]]=>1 [[1,2],[3,4]]=>1 [[1,3],[2,4]]=>0 [[1,2],[4,4]]=>1 [[1,3],[3,4]]=>1 [[1,3],[4,4]]=>1 [[2,2],[3,4]]=>2 [[2,2],[4,4]]=>2 [[2,3],[3,4]]=>1 [[2,3],[4,4]]=>1 [[3,3],[4,4]]=>2 [[1,1],[2],[4]]=>1 [[1,1],[3],[4]]=>1 [[1,2],[2],[4]]=>1 [[1,2],[3],[4]]=>1 [[1,3],[2],[4]]=>1 [[1,4],[2],[3]]=>0 [[1,4],[2],[4]]=>1 [[1,3],[3],[4]]=>1 [[1,4],[3],[4]]=>1 [[2,2],[3],[4]]=>1 [[2,3],[3],[4]]=>1 [[2,4],[3],[4]]=>1 [[1],[2],[3],[4]]=>4 [[1,1,1,5]]=>0 [[1,1,2,5]]=>0 [[1,1,3,5]]=>0 [[1,1,4,5]]=>0 [[1,1,5,5]]=>0 [[1,2,2,5]]=>0 [[1,2,3,5]]=>0 [[1,2,4,5]]=>0 [[1,2,5,5]]=>0 [[1,3,3,5]]=>0 [[1,3,4,5]]=>0 [[1,3,5,5]]=>0 [[1,4,4,5]]=>0 [[1,4,5,5]]=>0 [[1,5,5,5]]=>0 [[2,2,2,5]]=>0 [[2,2,3,5]]=>0 [[2,2,4,5]]=>0 [[2,2,5,5]]=>0 [[2,3,3,5]]=>0 [[2,3,4,5]]=>0 [[2,3,5,5]]=>0 [[2,4,4,5]]=>0 [[2,4,5,5]]=>0 [[2,5,5,5]]=>0 [[3,3,3,5]]=>0 [[3,3,4,5]]=>0 [[3,3,5,5]]=>0 [[3,4,4,5]]=>0 [[3,4,5,5]]=>0 [[3,5,5,5]]=>0 [[4,4,4,5]]=>0 [[4,4,5,5]]=>0 [[4,5,5,5]]=>0 [[5,5,5,5]]=>1 [[1,1,1],[5]]=>1 [[1,1,2],[5]]=>1 [[1,1,5],[2]]=>0 [[1,1,3],[5]]=>1 [[1,1,5],[3]]=>0 [[1,1,4],[5]]=>1 [[1,1,5],[4]]=>0 [[1,1,5],[5]]=>1 [[1,2,2],[5]]=>1 [[1,2,5],[2]]=>0 [[1,2,3],[5]]=>1 [[1,2,5],[3]]=>0 [[1,3,5],[2]]=>0 [[1,2,4],[5]]=>1 [[1,2,5],[4]]=>0 [[1,4,5],[2]]=>0 [[1,2,5],[5]]=>1 [[1,5,5],[2]]=>0 [[1,3,3],[5]]=>1 [[1,3,5],[3]]=>0 [[1,3,4],[5]]=>1 [[1,3,5],[4]]=>0 [[1,4,5],[3]]=>0 [[1,3,5],[5]]=>1 [[1,5,5],[3]]=>0 [[1,4,4],[5]]=>1 [[1,4,5],[4]]=>0 [[1,4,5],[5]]=>1 [[1,5,5],[4]]=>0 [[1,5,5],[5]]=>1 [[2,2,2],[5]]=>1 [[2,2,3],[5]]=>1 [[2,2,5],[3]]=>0 [[2,2,4],[5]]=>1 [[2,2,5],[4]]=>0 [[2,2,5],[5]]=>1 [[2,3,3],[5]]=>1 [[2,3,5],[3]]=>0 [[2,3,4],[5]]=>1 [[2,3,5],[4]]=>0 [[2,4,5],[3]]=>0 [[2,3,5],[5]]=>1 [[2,5,5],[3]]=>0 [[2,4,4],[5]]=>1 [[2,4,5],[4]]=>0 [[2,4,5],[5]]=>1 [[2,5,5],[4]]=>0 [[2,5,5],[5]]=>1 [[3,3,3],[5]]=>1 [[3,3,4],[5]]=>1 [[3,3,5],[4]]=>0 [[3,3,5],[5]]=>1 [[3,4,4],[5]]=>1 [[3,4,5],[4]]=>0 [[3,4,5],[5]]=>1 [[3,5,5],[4]]=>0 [[3,5,5],[5]]=>1 [[4,4,4],[5]]=>1 [[4,4,5],[5]]=>1 [[4,5,5],[5]]=>1 [[1,1],[2,5]]=>2 [[1,1],[3,5]]=>2 [[1,1],[4,5]]=>2 [[1,1],[5,5]]=>2 [[1,2],[2,5]]=>1 [[1,2],[3,5]]=>1 [[1,3],[2,5]]=>0 [[1,2],[4,5]]=>1 [[1,4],[2,5]]=>0 [[1,2],[5,5]]=>1 [[1,3],[3,5]]=>1 [[1,3],[4,5]]=>1 [[1,4],[3,5]]=>0 [[1,3],[5,5]]=>1 [[1,4],[4,5]]=>1 [[1,4],[5,5]]=>1 [[2,2],[3,5]]=>2 [[2,2],[4,5]]=>2 [[2,2],[5,5]]=>2 [[2,3],[3,5]]=>1 [[2,3],[4,5]]=>1 [[2,4],[3,5]]=>0 [[2,3],[5,5]]=>1 [[2,4],[4,5]]=>1 [[2,4],[5,5]]=>1 [[3,3],[4,5]]=>2 [[3,3],[5,5]]=>2 [[3,4],[4,5]]=>1 [[3,4],[5,5]]=>1 [[4,4],[5,5]]=>2 [[1,1],[2],[5]]=>1 [[1,1],[3],[5]]=>1 [[1,1],[4],[5]]=>1 [[1,2],[2],[5]]=>1 [[1,2],[3],[5]]=>1 [[1,3],[2],[5]]=>1 [[1,5],[2],[3]]=>0 [[1,2],[4],[5]]=>1 [[1,4],[2],[5]]=>1 [[1,5],[2],[4]]=>0 [[1,5],[2],[5]]=>1 [[1,3],[3],[5]]=>1 [[1,3],[4],[5]]=>1 [[1,4],[3],[5]]=>1 [[1,5],[3],[4]]=>0 [[1,5],[3],[5]]=>1 [[1,4],[4],[5]]=>1 [[1,5],[4],[5]]=>1 [[2,2],[3],[5]]=>1 [[2,2],[4],[5]]=>1 [[2,3],[3],[5]]=>1 [[2,3],[4],[5]]=>1 [[2,4],[3],[5]]=>1 [[2,5],[3],[4]]=>0 [[2,5],[3],[5]]=>1 [[2,4],[4],[5]]=>1 [[2,5],[4],[5]]=>1 [[3,3],[4],[5]]=>1 [[3,4],[4],[5]]=>1 [[3,5],[4],[5]]=>1 [[1],[2],[3],[5]]=>4 [[1],[2],[4],[5]]=>4 [[1],[3],[4],[5]]=>4 [[2],[3],[4],[5]]=>4 [[1,1,1,6]]=>0 [[1,1,2,6]]=>0 [[1,1,3,6]]=>0 [[1,1,4,6]]=>0 [[1,1,5,6]]=>0 [[1,1,6,6]]=>0 [[1,2,2,6]]=>0 [[1,2,3,6]]=>0 [[1,2,4,6]]=>0 [[1,2,5,6]]=>0 [[1,2,6,6]]=>0 [[1,3,3,6]]=>0 [[1,3,4,6]]=>0 [[1,3,5,6]]=>0 [[1,3,6,6]]=>0 [[1,4,4,6]]=>0 [[1,4,5,6]]=>0 [[1,4,6,6]]=>0 [[1,5,5,6]]=>0 [[1,5,6,6]]=>0 [[1,6,6,6]]=>0 [[2,2,2,6]]=>0 [[2,2,3,6]]=>0 [[2,2,4,6]]=>0 [[2,2,5,6]]=>0 [[2,2,6,6]]=>0 [[2,3,3,6]]=>0 [[2,3,4,6]]=>0 [[2,3,5,6]]=>0 [[2,3,6,6]]=>0 [[2,4,4,6]]=>0 [[2,4,5,6]]=>0 [[2,4,6,6]]=>0 [[2,5,5,6]]=>0 [[2,5,6,6]]=>0 [[2,6,6,6]]=>0 [[3,3,3,6]]=>0 [[3,3,4,6]]=>0 [[3,3,5,6]]=>0 [[3,3,6,6]]=>0 [[3,4,4,6]]=>0 [[3,4,5,6]]=>0 [[3,4,6,6]]=>0 [[3,5,5,6]]=>0 [[3,5,6,6]]=>0 [[3,6,6,6]]=>0 [[4,4,4,6]]=>0 [[4,4,5,6]]=>0 [[4,4,6,6]]=>0 [[4,5,5,6]]=>0 [[4,5,6,6]]=>0 [[4,6,6,6]]=>0 [[5,5,5,6]]=>0 [[5,5,6,6]]=>0 [[5,6,6,6]]=>0 [[6,6,6,6]]=>1 [[1,1,1],[6]]=>1 [[1,1,2],[6]]=>1 [[1,1,6],[2]]=>0 [[1,1,3],[6]]=>1 [[1,1,6],[3]]=>0 [[1,1,4],[6]]=>1 [[1,1,6],[4]]=>0 [[1,1,5],[6]]=>1 [[1,1,6],[5]]=>0 [[1,1,6],[6]]=>1 [[1,2,2],[6]]=>1 [[1,2,6],[2]]=>0 [[1,2,3],[6]]=>1 [[1,2,6],[3]]=>0 [[1,3,6],[2]]=>0 [[1,2,4],[6]]=>1 [[1,2,6],[4]]=>0 [[1,4,6],[2]]=>0 [[1,2,5],[6]]=>1 [[1,2,6],[5]]=>0 [[1,5,6],[2]]=>0 [[1,2,6],[6]]=>1 [[1,6,6],[2]]=>0 [[1,3,3],[6]]=>1 [[1,3,6],[3]]=>0 [[1,3,4],[6]]=>1 [[1,3,6],[4]]=>0 [[1,4,6],[3]]=>0 [[1,3,5],[6]]=>1 [[1,3,6],[5]]=>0 [[1,5,6],[3]]=>0 [[1,3,6],[6]]=>1 [[1,6,6],[3]]=>0 [[1,4,4],[6]]=>1 [[1,4,6],[4]]=>0 [[1,4,5],[6]]=>1 [[1,4,6],[5]]=>0 [[1,5,6],[4]]=>0 [[1,4,6],[6]]=>1 [[1,6,6],[4]]=>0 [[1,5,5],[6]]=>1 [[1,5,6],[5]]=>0 [[1,5,6],[6]]=>1 [[1,6,6],[5]]=>0 [[1,6,6],[6]]=>1 [[2,2,2],[6]]=>1 [[2,2,3],[6]]=>1 [[2,2,6],[3]]=>0 [[2,2,4],[6]]=>1 [[2,2,6],[4]]=>0 [[2,2,5],[6]]=>1 [[2,2,6],[5]]=>0 [[2,2,6],[6]]=>1 [[2,3,3],[6]]=>1 [[2,3,6],[3]]=>0 [[2,3,4],[6]]=>1 [[2,3,6],[4]]=>0 [[2,4,6],[3]]=>0 [[2,3,5],[6]]=>1 [[2,3,6],[5]]=>0 [[2,5,6],[3]]=>0 [[2,3,6],[6]]=>1 [[2,6,6],[3]]=>0 [[2,4,4],[6]]=>1 [[2,4,6],[4]]=>0 [[2,4,5],[6]]=>1 [[2,4,6],[5]]=>0 [[2,5,6],[4]]=>0 [[2,4,6],[6]]=>1 [[2,6,6],[4]]=>0 [[2,5,5],[6]]=>1 [[2,5,6],[5]]=>0 [[2,5,6],[6]]=>1 [[2,6,6],[5]]=>0 [[2,6,6],[6]]=>1 [[3,3,3],[6]]=>1 [[3,3,4],[6]]=>1 [[3,3,6],[4]]=>0 [[3,3,5],[6]]=>1 [[3,3,6],[5]]=>0 [[3,3,6],[6]]=>1 [[3,4,4],[6]]=>1 [[3,4,6],[4]]=>0 [[3,4,5],[6]]=>1 [[3,4,6],[5]]=>0 [[3,5,6],[4]]=>0 [[3,4,6],[6]]=>1 [[3,6,6],[4]]=>0 [[3,5,5],[6]]=>1 [[3,5,6],[5]]=>0 [[3,5,6],[6]]=>1 [[3,6,6],[5]]=>0 [[3,6,6],[6]]=>1 [[4,4,4],[6]]=>1 [[4,4,5],[6]]=>1 [[4,4,6],[5]]=>0 [[4,4,6],[6]]=>1 [[4,5,5],[6]]=>1 [[4,5,6],[5]]=>0 [[4,5,6],[6]]=>1 [[4,6,6],[5]]=>0 [[4,6,6],[6]]=>1 [[5,5,5],[6]]=>1 [[5,5,6],[6]]=>1 [[5,6,6],[6]]=>1 [[1,1],[2,6]]=>2 [[1,1],[3,6]]=>2 [[1,1],[4,6]]=>2 [[1,1],[5,6]]=>2 [[1,1],[6,6]]=>2 [[1,2],[2,6]]=>1 [[1,2],[3,6]]=>1 [[1,3],[2,6]]=>0 [[1,2],[4,6]]=>1 [[1,4],[2,6]]=>0 [[1,2],[5,6]]=>1 [[1,5],[2,6]]=>0 [[1,2],[6,6]]=>1 [[1,3],[3,6]]=>1 [[1,3],[4,6]]=>1 [[1,4],[3,6]]=>0 [[1,3],[5,6]]=>1 [[1,5],[3,6]]=>0 [[1,3],[6,6]]=>1 [[1,4],[4,6]]=>1 [[1,4],[5,6]]=>1 [[1,5],[4,6]]=>0 [[1,4],[6,6]]=>1 [[1,5],[5,6]]=>1 [[1,5],[6,6]]=>1 [[2,2],[3,6]]=>2 [[2,2],[4,6]]=>2 [[2,2],[5,6]]=>2 [[2,2],[6,6]]=>2 [[2,3],[3,6]]=>1 [[2,3],[4,6]]=>1 [[2,4],[3,6]]=>0 [[2,3],[5,6]]=>1 [[2,5],[3,6]]=>0 [[2,3],[6,6]]=>1 [[2,4],[4,6]]=>1 [[2,4],[5,6]]=>1 [[2,5],[4,6]]=>0 [[2,4],[6,6]]=>1 [[2,5],[5,6]]=>1 [[2,5],[6,6]]=>1 [[3,3],[4,6]]=>2 [[3,3],[5,6]]=>2 [[3,3],[6,6]]=>2 [[3,4],[4,6]]=>1 [[3,4],[5,6]]=>1 [[3,5],[4,6]]=>0 [[3,4],[6,6]]=>1 [[3,5],[5,6]]=>1 [[3,5],[6,6]]=>1 [[4,4],[5,6]]=>2 [[4,4],[6,6]]=>2 [[4,5],[5,6]]=>1 [[4,5],[6,6]]=>1 [[5,5],[6,6]]=>2 [[1,1],[2],[6]]=>1 [[1,1],[3],[6]]=>1 [[1,1],[4],[6]]=>1 [[1,1],[5],[6]]=>1 [[1,2],[2],[6]]=>1 [[1,2],[3],[6]]=>1 [[1,3],[2],[6]]=>1 [[1,6],[2],[3]]=>0 [[1,2],[4],[6]]=>1 [[1,4],[2],[6]]=>1 [[1,6],[2],[4]]=>0 [[1,2],[5],[6]]=>1 [[1,5],[2],[6]]=>1 [[1,6],[2],[5]]=>0 [[1,6],[2],[6]]=>1 [[1,3],[3],[6]]=>1 [[1,3],[4],[6]]=>1 [[1,4],[3],[6]]=>1 [[1,6],[3],[4]]=>0 [[1,3],[5],[6]]=>1 [[1,5],[3],[6]]=>1 [[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]]=>1 [[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]]=>1 [[1,1,2],[2,2]]=>1 [[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]]=>1 [[1,1,1,1],[3]]=>1 [[1,1,1,2],[3]]=>1 [[1,1,1,3],[2]]=>0 [[1,1,1,3],[3]]=>1 [[1,1,2,2],[3]]=>1 [[1,1,2,3],[2]]=>0 [[1,1,2,3],[3]]=>1 [[1,1,3,3],[2]]=>0 [[1,1,3,3],[3]]=>1 [[1,2,2,2],[3]]=>1 [[1,2,2,3],[2]]=>0 [[1,2,2,3],[3]]=>1 [[1,2,3,3],[2]]=>0 [[1,2,3,3],[3]]=>1 [[1,3,3,3],[2]]=>0 [[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]]=>1 [[1,1,1],[3,3]]=>1 [[1,1,2],[2,3]]=>1 [[1,1,3],[2,2]]=>0 [[1,1,2],[3,3]]=>1 [[1,1,3],[2,3]]=>0 [[1,1,3],[3,3]]=>1 [[1,2,2],[2,3]]=>1 [[1,2,2],[3,3]]=>1 [[1,2,3],[2,3]]=>0 [[1,2,3],[3,3]]=>1 [[2,2,2],[3,3]]=>1 [[2,2,3],[3,3]]=>1 [[1,1,1],[2],[3]]=>1 [[1,1,2],[2],[3]]=>1 [[1,1,3],[2],[3]]=>1 [[1,2,2],[2],[3]]=>1 [[1,2,3],[2],[3]]=>1 [[1,3,3],[2],[3]]=>1 [[1,1],[2,2],[3]]=>2 [[1,1],[2,3],[3]]=>2 [[1,2],[2,3],[3]]=>2 [[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]]=>1 [[1,1,1,1],[4]]=>1 [[1,1,1,2],[4]]=>1 [[1,1,1,4],[2]]=>0 [[1,1,1,3],[4]]=>1 [[1,1,1,4],[3]]=>0 [[1,1,1,4],[4]]=>1 [[1,1,2,2],[4]]=>1 [[1,1,2,4],[2]]=>0 [[1,1,2,3],[4]]=>1 [[1,1,2,4],[3]]=>0 [[1,1,3,4],[2]]=>0 [[1,1,2,4],[4]]=>1 [[1,1,4,4],[2]]=>0 [[1,1,3,3],[4]]=>1 [[1,1,3,4],[3]]=>0 [[1,1,3,4],[4]]=>1 [[1,1,4,4],[3]]=>0 [[1,1,4,4],[4]]=>1 [[1,2,2,2],[4]]=>1 [[1,2,2,4],[2]]=>0 [[1,2,2,3],[4]]=>1 [[1,2,2,4],[3]]=>0 [[1,2,3,4],[2]]=>0 [[1,2,2,4],[4]]=>1 [[1,2,4,4],[2]]=>0 [[1,2,3,3],[4]]=>1 [[1,2,3,4],[3]]=>0 [[1,3,3,4],[2]]=>0 [[1,2,3,4],[4]]=>1 [[1,2,4,4],[3]]=>0 [[1,3,4,4],[2]]=>0 [[1,2,4,4],[4]]=>1 [[1,4,4,4],[2]]=>0 [[1,3,3,3],[4]]=>1 [[1,3,3,4],[3]]=>0 [[1,3,3,4],[4]]=>1 [[1,3,4,4],[3]]=>0 [[1,3,4,4],[4]]=>1 [[1,4,4,4],[3]]=>0 [[1,4,4,4],[4]]=>1 [[2,2,2,2],[4]]=>1 [[2,2,2,3],[4]]=>1 [[2,2,2,4],[3]]=>0 [[2,2,2,4],[4]]=>1 [[2,2,3,3],[4]]=>1 [[2,2,3,4],[3]]=>0 [[2,2,3,4],[4]]=>1 [[2,2,4,4],[3]]=>0 [[2,2,4,4],[4]]=>1 [[2,3,3,3],[4]]=>1 [[2,3,3,4],[3]]=>0 [[2,3,3,4],[4]]=>1 [[2,3,4,4],[3]]=>0 [[2,3,4,4],[4]]=>1 [[2,4,4,4],[3]]=>0 [[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]]=>1 [[1,1,1],[3,4]]=>1 [[1,1,1],[4,4]]=>1 [[1,1,2],[2,4]]=>1 [[1,1,4],[2,2]]=>0 [[1,1,2],[3,4]]=>1 [[1,1,3],[2,4]]=>0 [[1,1,4],[2,3]]=>0 [[1,1,2],[4,4]]=>1 [[1,1,4],[2,4]]=>0 [[1,1,3],[3,4]]=>1 [[1,1,4],[3,3]]=>0 [[1,1,3],[4,4]]=>1 [[1,1,4],[3,4]]=>0 [[1,1,4],[4,4]]=>1 [[1,2,2],[2,4]]=>1 [[1,2,2],[3,4]]=>1 [[1,2,3],[2,4]]=>0 [[1,2,4],[2,3]]=>0 [[1,2,2],[4,4]]=>1 [[1,2,4],[2,4]]=>0 [[1,2,3],[3,4]]=>1 [[1,2,4],[3,3]]=>0 [[1,3,3],[2,4]]=>0 [[1,2,3],[4,4]]=>1 [[1,2,4],[3,4]]=>0 [[1,3,4],[2,4]]=>0 [[1,2,4],[4,4]]=>1 [[1,3,3],[3,4]]=>1 [[1,3,3],[4,4]]=>1 [[1,3,4],[3,4]]=>0 [[1,3,4],[4,4]]=>1 [[2,2,2],[3,4]]=>1 [[2,2,2],[4,4]]=>1 [[2,2,3],[3,4]]=>1 [[2,2,4],[3,3]]=>0 [[2,2,3],[4,4]]=>1 [[2,2,4],[3,4]]=>0 [[2,2,4],[4,4]]=>1 [[2,3,3],[3,4]]=>1 [[2,3,3],[4,4]]=>1 [[2,3,4],[3,4]]=>0 [[2,3,4],[4,4]]=>1 [[3,3,3],[4,4]]=>1 [[3,3,4],[4,4]]=>1 [[1,1,1],[2],[4]]=>1 [[1,1,1],[3],[4]]=>1 [[1,1,2],[2],[4]]=>1 [[1,1,2],[3],[4]]=>1 [[1,1,3],[2],[4]]=>1 [[1,1,4],[2],[3]]=>0 [[1,1,4],[2],[4]]=>1 [[1,1,3],[3],[4]]=>1 [[1,1,4],[3],[4]]=>1 [[1,2,2],[2],[4]]=>1 [[1,2,2],[3],[4]]=>1 [[1,2,3],[2],[4]]=>1 [[1,2,4],[2],[3]]=>0 [[1,2,4],[2],[4]]=>1 [[1,2,3],[3],[4]]=>1 [[1,3,3],[2],[4]]=>1 [[1,3,4],[2],[3]]=>0 [[1,2,4],[3],[4]]=>1 [[1,3,4],[2],[4]]=>1 [[1,4,4],[2],[3]]=>0 [[1,4,4],[2],[4]]=>1 [[1,3,3],[3],[4]]=>1 [[1,3,4],[3],[4]]=>1 [[1,4,4],[3],[4]]=>1 [[2,2,2],[3],[4]]=>1 [[2,2,3],[3],[4]]=>1 [[2,2,4],[3],[4]]=>1 [[2,3,3],[3],[4]]=>1 [[2,3,4],[3],[4]]=>1 [[2,4,4],[3],[4]]=>1 [[1,1],[2,2],[4]]=>2 [[1,1],[2,3],[4]]=>2 [[1,1],[2,4],[3]]=>2 [[1,1],[2,4],[4]]=>2 [[1,1],[3,3],[4]]=>2 [[1,1],[3,4],[4]]=>2 [[1,2],[2,3],[4]]=>2 [[1,2],[2,4],[3]]=>2 [[1,2],[2,4],[4]]=>2 [[1,2],[3,3],[4]]=>2 [[1,3],[2,4],[3]]=>1 [[1,2],[3,4],[4]]=>2 [[1,3],[2,4],[4]]=>1 [[1,3],[3,4],[4]]=>2 [[2,2],[3,3],[4]]=>2 [[2,2],[3,4],[4]]=>2 [[2,3],[3,4],[4]]=>2 [[1,1],[2],[3],[4]]=>1 [[1,2],[2],[3],[4]]=>1 [[1,3],[2],[3],[4]]=>1 [[1,4],[2],[3],[4]]=>1 [[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]]=>1 [[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]]=>1 [[1,1,1,2],[2,2]]=>1 [[1,1,2,2],[2,2]]=>1 [[1,1,1],[2,2,2]]=>2 [[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]]=>1 [[1,1,1,1,1],[3]]=>1 [[1,1,1,1,2],[3]]=>1 [[1,1,1,1,3],[2]]=>0 [[1,1,1,1,3],[3]]=>1 [[1,1,1,2,2],[3]]=>1 [[1,1,1,2,3],[2]]=>0 [[1,1,1,2,3],[3]]=>1 [[1,1,1,3,3],[2]]=>0 [[1,1,1,3,3],[3]]=>1 [[1,1,2,2,2],[3]]=>1 [[1,1,2,2,3],[2]]=>0 [[1,1,2,2,3],[3]]=>1 [[1,1,2,3,3],[2]]=>0 [[1,1,2,3,3],[3]]=>1 [[1,1,3,3,3],[2]]=>0 [[1,1,3,3,3],[3]]=>1 [[1,2,2,2,2],[3]]=>1 [[1,2,2,2,3],[2]]=>0 [[1,2,2,2,3],[3]]=>1 [[1,2,2,3,3],[2]]=>0 [[1,2,2,3,3],[3]]=>1 [[1,2,3,3,3],[2]]=>0 [[1,2,3,3,3],[3]]=>1 [[1,3,3,3,3],[2]]=>0 [[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]]=>1 [[1,1,1,1],[3,3]]=>1 [[1,1,1,2],[2,3]]=>1 [[1,1,1,3],[2,2]]=>0 [[1,1,1,2],[3,3]]=>1 [[1,1,1,3],[2,3]]=>0 [[1,1,1,3],[3,3]]=>1 [[1,1,2,2],[2,3]]=>1 [[1,1,2,3],[2,2]]=>0 [[1,1,2,2],[3,3]]=>1 [[1,1,2,3],[2,3]]=>0 [[1,1,3,3],[2,2]]=>0 [[1,1,2,3],[3,3]]=>1 [[1,1,3,3],[2,3]]=>0 [[1,1,3,3],[3,3]]=>1 [[1,2,2,2],[2,3]]=>1 [[1,2,2,2],[3,3]]=>1 [[1,2,2,3],[2,3]]=>0 [[1,2,2,3],[3,3]]=>1 [[1,2,3,3],[2,3]]=>0 [[1,2,3,3],[3,3]]=>1 [[2,2,2,2],[3,3]]=>1 [[2,2,2,3],[3,3]]=>1 [[2,2,3,3],[3,3]]=>1 [[1,1,1,1],[2],[3]]=>1 [[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]]=>1 [[1,1,3,3],[2],[3]]=>1 [[1,2,2,2],[2],[3]]=>1 [[1,2,2,3],[2],[3]]=>1 [[1,2,3,3],[2],[3]]=>1 [[1,3,3,3],[2],[3]]=>1 [[1,1,1],[2,2,3]]=>2 [[1,1,1],[2,3,3]]=>2 [[1,1,1],[3,3,3]]=>2 [[1,1,2],[2,2,3]]=>1 [[1,1,2],[2,3,3]]=>1 [[1,1,2],[3,3,3]]=>1 [[1,2,2],[2,3,3]]=>1 [[1,2,2],[3,3,3]]=>1 [[2,2,2],[3,3,3]]=>2 [[1,1,1],[2,2],[3]]=>1 [[1,1,1],[2,3],[3]]=>1 [[1,1,2],[2,2],[3]]=>1 [[1,1,2],[2,3],[3]]=>1 [[1,1,3],[2,2],[3]]=>1 [[1,1,3],[2,3],[3]]=>1 [[1,2,2],[2,3],[3]]=>1 [[1,2,3],[2,3],[3]]=>1 [[1,1],[2,2],[3,3]]=>3 [[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]]=>1 [[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]]=>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],[2,2,2]]=>1 [[1,1,1,2],[2,2,2]]=>1
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Description
The maximal overlap of a cylindrical tableau associated with a semistandard tableau.
A cylindrical tableau associated with a semistandard Young tableau $T$ is the skew semistandard tableau obtained by gluing two copies of $T$ such that the inner shape is a rectangle.
The overlap, recorded in this statistic, equals $\max_C\big(2\ell(T) - \ell(C)\big)$, where $\ell$ denotes the number of rows of a tableau and the maximum is taken over all cylindrical tableaux.
Code
def statistic(T):
    if not T:
        return 0
    w = len(T[0])
    l = len(T)
    d = 0
    while d < l and len(T[d]) == w and T[0][w-1] <= T[l-1-d][0]:
        d += 1
    return d
Created
Jun 06, 2022 at 20:05 by Martin Rubey
Updated
Jun 06, 2022 at 20:05 by Martin Rubey