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Identifier
Values
=>
Cc0007;cc-rep
[[1,2]]=>1 [[1],[2]]=>1 [[1,2,3]]=>2 [[1,3],[2]]=>1 [[1,2],[3]]=>1 [[1],[2],[3]]=>2 [[1,2,3,4]]=>3 [[1,3,4],[2]]=>2 [[1,2,4],[3]]=>2 [[1,2,3],[4]]=>1 [[1,3],[2,4]]=>2 [[1,2],[3,4]]=>2 [[1,4],[2],[3]]=>1 [[1,3],[2],[4]]=>2 [[1,2],[3],[4]]=>2 [[1],[2],[3],[4]]=>3 [[1,2,3,4,5]]=>4 [[1,3,4,5],[2]]=>3 [[1,2,4,5],[3]]=>3 [[1,2,3,5],[4]]=>3 [[1,2,3,4],[5]]=>1 [[1,3,5],[2,4]]=>2 [[1,2,5],[3,4]]=>2 [[1,3,4],[2,5]]=>2 [[1,2,4],[3,5]]=>2 [[1,2,3],[4,5]]=>2 [[1,4,5],[2],[3]]=>2 [[1,3,5],[2],[4]]=>2 [[1,2,5],[3],[4]]=>2 [[1,3,4],[2],[5]]=>2 [[1,2,4],[3],[5]]=>2 [[1,2,3],[4],[5]]=>2 [[1,4],[2,5],[3]]=>2 [[1,3],[2,5],[4]]=>2 [[1,2],[3,5],[4]]=>2 [[1,3],[2,4],[5]]=>2 [[1,2],[3,4],[5]]=>2 [[1,5],[2],[3],[4]]=>1 [[1,4],[2],[3],[5]]=>3 [[1,3],[2],[4],[5]]=>3 [[1,2],[3],[4],[5]]=>3 [[1],[2],[3],[4],[5]]=>4 [[1,2,3,4,5,6]]=>5 [[1,3,4,5,6],[2]]=>4 [[1,2,4,5,6],[3]]=>4 [[1,2,3,5,6],[4]]=>4 [[1,2,3,4,6],[5]]=>4 [[1,2,3,4,5],[6]]=>1 [[1,3,5,6],[2,4]]=>3 [[1,2,5,6],[3,4]]=>3 [[1,3,4,6],[2,5]]=>3 [[1,2,4,6],[3,5]]=>3 [[1,2,3,6],[4,5]]=>3 [[1,3,4,5],[2,6]]=>2 [[1,2,4,5],[3,6]]=>2 [[1,2,3,5],[4,6]]=>2 [[1,2,3,4],[5,6]]=>2 [[1,4,5,6],[2],[3]]=>3 [[1,3,5,6],[2],[4]]=>3 [[1,2,5,6],[3],[4]]=>3 [[1,3,4,6],[2],[5]]=>3 [[1,2,4,6],[3],[5]]=>3 [[1,2,3,6],[4],[5]]=>3 [[1,3,4,5],[2],[6]]=>2 [[1,2,4,5],[3],[6]]=>2 [[1,2,3,5],[4],[6]]=>2 [[1,2,3,4],[5],[6]]=>2 [[1,3,5],[2,4,6]]=>3 [[1,2,5],[3,4,6]]=>3 [[1,3,4],[2,5,6]]=>3 [[1,2,4],[3,5,6]]=>3 [[1,2,3],[4,5,6]]=>3 [[1,4,6],[2,5],[3]]=>2 [[1,3,6],[2,5],[4]]=>2 [[1,2,6],[3,5],[4]]=>2 [[1,3,6],[2,4],[5]]=>2 [[1,2,6],[3,4],[5]]=>2 [[1,4,5],[2,6],[3]]=>2 [[1,3,5],[2,6],[4]]=>2 [[1,2,5],[3,6],[4]]=>2 [[1,3,4],[2,6],[5]]=>2 [[1,2,4],[3,6],[5]]=>2 [[1,2,3],[4,6],[5]]=>2 [[1,3,5],[2,4],[6]]=>2 [[1,2,5],[3,4],[6]]=>2 [[1,3,4],[2,5],[6]]=>2 [[1,2,4],[3,5],[6]]=>2 [[1,2,3],[4,5],[6]]=>2 [[1,5,6],[2],[3],[4]]=>2 [[1,4,6],[2],[3],[5]]=>2 [[1,3,6],[2],[4],[5]]=>2 [[1,2,6],[3],[4],[5]]=>2 [[1,4,5],[2],[3],[6]]=>3 [[1,3,5],[2],[4],[6]]=>3 [[1,2,5],[3],[4],[6]]=>3 [[1,3,4],[2],[5],[6]]=>3 [[1,2,4],[3],[5],[6]]=>3 [[1,2,3],[4],[5],[6]]=>3 [[1,4],[2,5],[3,6]]=>3 [[1,3],[2,5],[4,6]]=>3 [[1,2],[3,5],[4,6]]=>3 [[1,3],[2,4],[5,6]]=>3 [[1,2],[3,4],[5,6]]=>3 [[1,5],[2,6],[3],[4]]=>2 [[1,4],[2,6],[3],[5]]=>2 [[1,3],[2,6],[4],[5]]=>2 [[1,2],[3,6],[4],[5]]=>2 [[1,4],[2,5],[3],[6]]=>3 [[1,3],[2,5],[4],[6]]=>3 [[1,2],[3,5],[4],[6]]=>3 [[1,3],[2,4],[5],[6]]=>3 [[1,2],[3,4],[5],[6]]=>3 [[1,6],[2],[3],[4],[5]]=>1 [[1,5],[2],[3],[4],[6]]=>4 [[1,4],[2],[3],[5],[6]]=>4 [[1,3],[2],[4],[5],[6]]=>4 [[1,2],[3],[4],[5],[6]]=>4 [[1],[2],[3],[4],[5],[6]]=>5 [[1,2,3,4,5,6,7]]=>6 [[1,3,4,5,6,7],[2]]=>5 [[1,2,4,5,6,7],[3]]=>5 [[1,2,3,5,6,7],[4]]=>5 [[1,2,3,4,6,7],[5]]=>5 [[1,2,3,4,5,7],[6]]=>5 [[1,2,3,4,5,6],[7]]=>1 [[1,3,5,6,7],[2,4]]=>4 [[1,2,5,6,7],[3,4]]=>4 [[1,3,4,6,7],[2,5]]=>4 [[1,2,4,6,7],[3,5]]=>4 [[1,2,3,6,7],[4,5]]=>4 [[1,3,4,5,7],[2,6]]=>4 [[1,2,4,5,7],[3,6]]=>4 [[1,2,3,5,7],[4,6]]=>4 [[1,2,3,4,7],[5,6]]=>4 [[1,3,4,5,6],[2,7]]=>2 [[1,2,4,5,6],[3,7]]=>2 [[1,2,3,5,6],[4,7]]=>2 [[1,2,3,4,6],[5,7]]=>2 [[1,2,3,4,5],[6,7]]=>2 [[1,4,5,6,7],[2],[3]]=>4 [[1,3,5,6,7],[2],[4]]=>4 [[1,2,5,6,7],[3],[4]]=>4 [[1,3,4,6,7],[2],[5]]=>4 [[1,2,4,6,7],[3],[5]]=>4 [[1,2,3,6,7],[4],[5]]=>4 [[1,3,4,5,7],[2],[6]]=>4 [[1,2,4,5,7],[3],[6]]=>4 [[1,2,3,5,7],[4],[6]]=>4 [[1,2,3,4,7],[5],[6]]=>4 [[1,3,4,5,6],[2],[7]]=>2 [[1,2,4,5,6],[3],[7]]=>2 [[1,2,3,5,6],[4],[7]]=>2 [[1,2,3,4,6],[5],[7]]=>2 [[1,2,3,4,5],[6],[7]]=>2 [[1,3,5,7],[2,4,6]]=>3 [[1,2,5,7],[3,4,6]]=>3 [[1,3,4,7],[2,5,6]]=>3 [[1,2,4,7],[3,5,6]]=>3 [[1,2,3,7],[4,5,6]]=>3 [[1,3,5,6],[2,4,7]]=>3 [[1,2,5,6],[3,4,7]]=>3 [[1,3,4,6],[2,5,7]]=>3 [[1,2,4,6],[3,5,7]]=>3 [[1,2,3,6],[4,5,7]]=>3 [[1,3,4,5],[2,6,7]]=>3 [[1,2,4,5],[3,6,7]]=>3 [[1,2,3,5],[4,6,7]]=>3 [[1,2,3,4],[5,6,7]]=>3 [[1,4,6,7],[2,5],[3]]=>3 [[1,3,6,7],[2,5],[4]]=>3 [[1,2,6,7],[3,5],[4]]=>3 [[1,3,6,7],[2,4],[5]]=>3 [[1,2,6,7],[3,4],[5]]=>3 [[1,4,5,7],[2,6],[3]]=>3 [[1,3,5,7],[2,6],[4]]=>3 [[1,2,5,7],[3,6],[4]]=>3 [[1,3,4,7],[2,6],[5]]=>3 [[1,2,4,7],[3,6],[5]]=>3 [[1,2,3,7],[4,6],[5]]=>3 [[1,3,5,7],[2,4],[6]]=>3 [[1,2,5,7],[3,4],[6]]=>3 [[1,3,4,7],[2,5],[6]]=>3 [[1,2,4,7],[3,5],[6]]=>3 [[1,2,3,7],[4,5],[6]]=>3 [[1,4,5,6],[2,7],[3]]=>2 [[1,3,5,6],[2,7],[4]]=>2 [[1,2,5,6],[3,7],[4]]=>2 [[1,3,4,6],[2,7],[5]]=>2 [[1,2,4,6],[3,7],[5]]=>2 [[1,2,3,6],[4,7],[5]]=>2 [[1,3,4,5],[2,7],[6]]=>2 [[1,2,4,5],[3,7],[6]]=>2 [[1,2,3,5],[4,7],[6]]=>2 [[1,2,3,4],[5,7],[6]]=>2 [[1,3,5,6],[2,4],[7]]=>2 [[1,2,5,6],[3,4],[7]]=>2 [[1,3,4,6],[2,5],[7]]=>2 [[1,2,4,6],[3,5],[7]]=>2 [[1,2,3,6],[4,5],[7]]=>2 [[1,3,4,5],[2,6],[7]]=>2 [[1,2,4,5],[3,6],[7]]=>2 [[1,2,3,5],[4,6],[7]]=>2 [[1,2,3,4],[5,6],[7]]=>2 [[1,5,6,7],[2],[3],[4]]=>3 [[1,4,6,7],[2],[3],[5]]=>3 [[1,3,6,7],[2],[4],[5]]=>3 [[1,2,6,7],[3],[4],[5]]=>3 [[1,4,5,7],[2],[3],[6]]=>3 [[1,3,5,7],[2],[4],[6]]=>3 [[1,2,5,7],[3],[4],[6]]=>3 [[1,3,4,7],[2],[5],[6]]=>3 [[1,2,4,7],[3],[5],[6]]=>3 [[1,2,3,7],[4],[5],[6]]=>3 [[1,4,5,6],[2],[3],[7]]=>3 [[1,3,5,6],[2],[4],[7]]=>3 [[1,2,5,6],[3],[4],[7]]=>3 [[1,3,4,6],[2],[5],[7]]=>3 [[1,2,4,6],[3],[5],[7]]=>3 [[1,2,3,6],[4],[5],[7]]=>3 [[1,3,4,5],[2],[6],[7]]=>3 [[1,2,4,5],[3],[6],[7]]=>3 [[1,2,3,5],[4],[6],[7]]=>3 [[1,2,3,4],[5],[6],[7]]=>3 [[1,4,6],[2,5,7],[3]]=>3 [[1,3,6],[2,5,7],[4]]=>3 [[1,2,6],[3,5,7],[4]]=>3 [[1,3,6],[2,4,7],[5]]=>3 [[1,2,6],[3,4,7],[5]]=>3 [[1,4,5],[2,6,7],[3]]=>3 [[1,3,5],[2,6,7],[4]]=>3 [[1,2,5],[3,6,7],[4]]=>3 [[1,3,4],[2,6,7],[5]]=>3 [[1,2,4],[3,6,7],[5]]=>3 [[1,2,3],[4,6,7],[5]]=>3 [[1,3,5],[2,4,7],[6]]=>3 [[1,2,5],[3,4,7],[6]]=>3 [[1,3,4],[2,5,7],[6]]=>3 [[1,2,4],[3,5,7],[6]]=>3 [[1,2,3],[4,5,7],[6]]=>3 [[1,3,5],[2,4,6],[7]]=>2 [[1,2,5],[3,4,6],[7]]=>2 [[1,3,4],[2,5,6],[7]]=>2 [[1,2,4],[3,5,6],[7]]=>2 [[1,2,3],[4,5,6],[7]]=>2 [[1,4,7],[2,5],[3,6]]=>2 [[1,3,7],[2,5],[4,6]]=>2 [[1,2,7],[3,5],[4,6]]=>2 [[1,3,7],[2,4],[5,6]]=>2 [[1,2,7],[3,4],[5,6]]=>2 [[1,4,6],[2,5],[3,7]]=>3 [[1,3,6],[2,5],[4,7]]=>3 [[1,2,6],[3,5],[4,7]]=>3 [[1,3,6],[2,4],[5,7]]=>3 [[1,2,6],[3,4],[5,7]]=>3 [[1,4,5],[2,6],[3,7]]=>3 [[1,3,5],[2,6],[4,7]]=>3 [[1,2,5],[3,6],[4,7]]=>3 [[1,3,4],[2,6],[5,7]]=>3 [[1,2,4],[3,6],[5,7]]=>3 [[1,2,3],[4,6],[5,7]]=>3 [[1,3,5],[2,4],[6,7]]=>3 [[1,2,5],[3,4],[6,7]]=>3 [[1,3,4],[2,5],[6,7]]=>3 [[1,2,4],[3,5],[6,7]]=>3 [[1,2,3],[4,5],[6,7]]=>3 [[1,5,7],[2,6],[3],[4]]=>2 [[1,4,7],[2,6],[3],[5]]=>2 [[1,3,7],[2,6],[4],[5]]=>2 [[1,2,7],[3,6],[4],[5]]=>2 [[1,4,7],[2,5],[3],[6]]=>2 [[1,3,7],[2,5],[4],[6]]=>2 [[1,2,7],[3,5],[4],[6]]=>2 [[1,3,7],[2,4],[5],[6]]=>2 [[1,2,7],[3,4],[5],[6]]=>2 [[1,5,6],[2,7],[3],[4]]=>2 [[1,4,6],[2,7],[3],[5]]=>2 [[1,3,6],[2,7],[4],[5]]=>2 [[1,2,6],[3,7],[4],[5]]=>2 [[1,4,5],[2,7],[3],[6]]=>2 [[1,3,5],[2,7],[4],[6]]=>2 [[1,2,5],[3,7],[4],[6]]=>2 [[1,3,4],[2,7],[5],[6]]=>2 [[1,2,4],[3,7],[5],[6]]=>2 [[1,2,3],[4,7],[5],[6]]=>2 [[1,4,6],[2,5],[3],[7]]=>3 [[1,3,6],[2,5],[4],[7]]=>3 [[1,2,6],[3,5],[4],[7]]=>3 [[1,3,6],[2,4],[5],[7]]=>3 [[1,2,6],[3,4],[5],[7]]=>3 [[1,4,5],[2,6],[3],[7]]=>3 [[1,3,5],[2,6],[4],[7]]=>3 [[1,2,5],[3,6],[4],[7]]=>3 [[1,3,4],[2,6],[5],[7]]=>3 [[1,2,4],[3,6],[5],[7]]=>3 [[1,2,3],[4,6],[5],[7]]=>3 [[1,3,5],[2,4],[6],[7]]=>3 [[1,2,5],[3,4],[6],[7]]=>3 [[1,3,4],[2,5],[6],[7]]=>3 [[1,2,4],[3,5],[6],[7]]=>3 [[1,2,3],[4,5],[6],[7]]=>3 [[1,6,7],[2],[3],[4],[5]]=>2 [[1,5,7],[2],[3],[4],[6]]=>2 [[1,4,7],[2],[3],[5],[6]]=>2 [[1,3,7],[2],[4],[5],[6]]=>2 [[1,2,7],[3],[4],[5],[6]]=>2 [[1,5,6],[2],[3],[4],[7]]=>4 [[1,4,6],[2],[3],[5],[7]]=>4 [[1,3,6],[2],[4],[5],[7]]=>4 [[1,2,6],[3],[4],[5],[7]]=>4 [[1,4,5],[2],[3],[6],[7]]=>4 [[1,3,5],[2],[4],[6],[7]]=>4 [[1,2,5],[3],[4],[6],[7]]=>4 [[1,3,4],[2],[5],[6],[7]]=>4 [[1,2,4],[3],[5],[6],[7]]=>4 [[1,2,3],[4],[5],[6],[7]]=>4 [[1,5],[2,6],[3,7],[4]]=>3 [[1,4],[2,6],[3,7],[5]]=>3 [[1,3],[2,6],[4,7],[5]]=>3 [[1,2],[3,6],[4,7],[5]]=>3 [[1,4],[2,5],[3,7],[6]]=>3 [[1,3],[2,5],[4,7],[6]]=>3 [[1,2],[3,5],[4,7],[6]]=>3 [[1,3],[2,4],[5,7],[6]]=>3 [[1,2],[3,4],[5,7],[6]]=>3 [[1,4],[2,5],[3,6],[7]]=>3 [[1,3],[2,5],[4,6],[7]]=>3 [[1,2],[3,5],[4,6],[7]]=>3 [[1,3],[2,4],[5,6],[7]]=>3 [[1,2],[3,4],[5,6],[7]]=>3 [[1,6],[2,7],[3],[4],[5]]=>2 [[1,5],[2,7],[3],[4],[6]]=>2 [[1,4],[2,7],[3],[5],[6]]=>2 [[1,3],[2,7],[4],[5],[6]]=>2 [[1,2],[3,7],[4],[5],[6]]=>2 [[1,5],[2,6],[3],[4],[7]]=>4 [[1,4],[2,6],[3],[5],[7]]=>4 [[1,3],[2,6],[4],[5],[7]]=>4 [[1,2],[3,6],[4],[5],[7]]=>4 [[1,4],[2,5],[3],[6],[7]]=>4 [[1,3],[2,5],[4],[6],[7]]=>4 [[1,2],[3,5],[4],[6],[7]]=>4 [[1,3],[2,4],[5],[6],[7]]=>4 [[1,2],[3,4],[5],[6],[7]]=>4 [[1,7],[2],[3],[4],[5],[6]]=>1 [[1,6],[2],[3],[4],[5],[7]]=>5 [[1,5],[2],[3],[4],[6],[7]]=>5 [[1,4],[2],[3],[5],[6],[7]]=>5 [[1,3],[2],[4],[5],[6],[7]]=>5 [[1,2],[3],[4],[5],[6],[7]]=>5 [[1],[2],[3],[4],[5],[6],[7]]=>6 [[1,2,3,4,5,6,7,8]]=>7 [[1,3,4,5,6,7,8],[2]]=>6 [[1,2,4,5,6,7,8],[3]]=>6 [[1,2,3,5,6,7,8],[4]]=>6 [[1,2,3,4,6,7,8],[5]]=>6 [[1,2,3,4,5,7,8],[6]]=>6 [[1,2,3,4,5,6,8],[7]]=>6 [[1,2,3,4,5,6,7],[8]]=>1 [[1,3,5,6,7,8],[2,4]]=>5 [[1,2,5,6,7,8],[3,4]]=>5 [[1,3,4,6,7,8],[2,5]]=>5 [[1,2,4,6,7,8],[3,5]]=>5 [[1,2,3,6,7,8],[4,5]]=>5 [[1,3,4,5,7,8],[2,6]]=>5 [[1,2,4,5,7,8],[3,6]]=>5 [[1,2,3,5,7,8],[4,6]]=>5 [[1,2,3,4,7,8],[5,6]]=>5 [[1,3,4,5,6,8],[2,7]]=>5 [[1,2,4,5,6,8],[3,7]]=>5 [[1,2,3,5,6,8],[4,7]]=>5 [[1,2,3,4,6,8],[5,7]]=>5 [[1,2,3,4,5,8],[6,7]]=>5 [[1,3,4,5,6,7],[2,8]]=>2 [[1,2,4,5,6,7],[3,8]]=>2 [[1,2,3,5,6,7],[4,8]]=>2 [[1,2,3,4,6,7],[5,8]]=>2 [[1,2,3,4,5,7],[6,8]]=>2 [[1,2,3,4,5,6],[7,8]]=>2 [[1,4,5,6,7,8],[2],[3]]=>5 [[1,3,5,6,7,8],[2],[4]]=>5 [[1,2,5,6,7,8],[3],[4]]=>5 [[1,3,4,6,7,8],[2],[5]]=>5 [[1,2,4,6,7,8],[3],[5]]=>5 [[1,2,3,6,7,8],[4],[5]]=>5 [[1,3,4,5,7,8],[2],[6]]=>5 [[1,2,4,5,7,8],[3],[6]]=>5 [[1,2,3,5,7,8],[4],[6]]=>5 [[1,2,3,4,7,8],[5],[6]]=>5 [[1,3,4,5,6,8],[2],[7]]=>5 [[1,2,4,5,6,8],[3],[7]]=>5 [[1,2,3,5,6,8],[4],[7]]=>5 [[1,2,3,4,6,8],[5],[7]]=>5 [[1,2,3,4,5,8],[6],[7]]=>5 [[1,3,4,5,6,7],[2],[8]]=>2 [[1,2,4,5,6,7],[3],[8]]=>2 [[1,2,3,5,6,7],[4],[8]]=>2 [[1,2,3,4,6,7],[5],[8]]=>2 [[1,2,3,4,5,7],[6],[8]]=>2 [[1,2,3,4,5,6],[7],[8]]=>2 [[1,3,5,7,8],[2,4,6]]=>4 [[1,2,5,7,8],[3,4,6]]=>4 [[1,3,4,7,8],[2,5,6]]=>4 [[1,2,4,7,8],[3,5,6]]=>4 [[1,2,3,7,8],[4,5,6]]=>4 [[1,3,5,6,8],[2,4,7]]=>4 [[1,2,5,6,8],[3,4,7]]=>4 [[1,3,4,6,8],[2,5,7]]=>4 [[1,2,4,6,8],[3,5,7]]=>4 [[1,2,3,6,8],[4,5,7]]=>4 [[1,3,4,5,8],[2,6,7]]=>4 [[1,2,4,5,8],[3,6,7]]=>4 [[1,2,3,5,8],[4,6,7]]=>4 [[1,2,3,4,8],[5,6,7]]=>4 [[1,3,5,6,7],[2,4,8]]=>3 [[1,2,5,6,7],[3,4,8]]=>3 [[1,3,4,6,7],[2,5,8]]=>3 [[1,2,4,6,7],[3,5,8]]=>3 [[1,2,3,6,7],[4,5,8]]=>3 [[1,3,4,5,7],[2,6,8]]=>3 [[1,2,4,5,7],[3,6,8]]=>3 [[1,2,3,5,7],[4,6,8]]=>3 [[1,2,3,4,7],[5,6,8]]=>3 [[1,3,4,5,6],[2,7,8]]=>3 [[1,2,4,5,6],[3,7,8]]=>3 [[1,2,3,5,6],[4,7,8]]=>3 [[1,2,3,4,6],[5,7,8]]=>3 [[1,2,3,4,5],[6,7,8]]=>3 [[1,4,6,7,8],[2,5],[3]]=>4 [[1,3,6,7,8],[2,5],[4]]=>4 [[1,2,6,7,8],[3,5],[4]]=>4 [[1,3,6,7,8],[2,4],[5]]=>4 [[1,2,6,7,8],[3,4],[5]]=>4 [[1,4,5,7,8],[2,6],[3]]=>4 [[1,3,5,7,8],[2,6],[4]]=>4 [[1,2,5,7,8],[3,6],[4]]=>4 [[1,3,4,7,8],[2,6],[5]]=>4 [[1,2,4,7,8],[3,6],[5]]=>4 [[1,2,3,7,8],[4,6],[5]]=>4 [[1,3,5,7,8],[2,4],[6]]=>4 [[1,2,5,7,8],[3,4],[6]]=>4 [[1,3,4,7,8],[2,5],[6]]=>4 [[1,2,4,7,8],[3,5],[6]]=>4 [[1,2,3,7,8],[4,5],[6]]=>4 [[1,4,5,6,8],[2,7],[3]]=>4 [[1,3,5,6,8],[2,7],[4]]=>4 [[1,2,5,6,8],[3,7],[4]]=>4 [[1,3,4,6,8],[2,7],[5]]=>4 [[1,2,4,6,8],[3,7],[5]]=>4 [[1,2,3,6,8],[4,7],[5]]=>4 [[1,3,4,5,8],[2,7],[6]]=>4 [[1,2,4,5,8],[3,7],[6]]=>4 [[1,2,3,5,8],[4,7],[6]]=>4 [[1,2,3,4,8],[5,7],[6]]=>4 [[1,3,5,6,8],[2,4],[7]]=>4 [[1,2,5,6,8],[3,4],[7]]=>4 [[1,3,4,6,8],[2,5],[7]]=>4 [[1,2,4,6,8],[3,5],[7]]=>4 [[1,2,3,6,8],[4,5],[7]]=>4 [[1,3,4,5,8],[2,6],[7]]=>4 [[1,2,4,5,8],[3,6],[7]]=>4 [[1,2,3,5,8],[4,6],[7]]=>4 [[1,2,3,4,8],[5,6],[7]]=>4 [[1,4,5,6,7],[2,8],[3]]=>2 [[1,3,5,6,7],[2,8],[4]]=>2 [[1,2,5,6,7],[3,8],[4]]=>2 [[1,3,4,6,7],[2,8],[5]]=>2 [[1,2,4,6,7],[3,8],[5]]=>2 [[1,2,3,6,7],[4,8],[5]]=>2 [[1,3,4,5,7],[2,8],[6]]=>2 [[1,2,4,5,7],[3,8],[6]]=>2 [[1,2,3,5,7],[4,8],[6]]=>2 [[1,2,3,4,7],[5,8],[6]]=>2 [[1,3,4,5,6],[2,8],[7]]=>2 [[1,2,4,5,6],[3,8],[7]]=>2 [[1,2,3,5,6],[4,8],[7]]=>2 [[1,2,3,4,6],[5,8],[7]]=>2 [[1,2,3,4,5],[6,8],[7]]=>2 [[1,3,5,6,7],[2,4],[8]]=>2 [[1,2,5,6,7],[3,4],[8]]=>2 [[1,3,4,6,7],[2,5],[8]]=>2 [[1,2,4,6,7],[3,5],[8]]=>2 [[1,2,3,6,7],[4,5],[8]]=>2 [[1,3,4,5,7],[2,6],[8]]=>2 [[1,2,4,5,7],[3,6],[8]]=>2 [[1,2,3,5,7],[4,6],[8]]=>2 [[1,2,3,4,7],[5,6],[8]]=>2 [[1,3,4,5,6],[2,7],[8]]=>2 [[1,2,4,5,6],[3,7],[8]]=>2 [[1,2,3,5,6],[4,7],[8]]=>2 [[1,2,3,4,6],[5,7],[8]]=>2 [[1,2,3,4,5],[6,7],[8]]=>2 [[1,5,6,7,8],[2],[3],[4]]=>4 [[1,4,6,7,8],[2],[3],[5]]=>4 [[1,3,6,7,8],[2],[4],[5]]=>4 [[1,2,6,7,8],[3],[4],[5]]=>4 [[1,4,5,7,8],[2],[3],[6]]=>4 [[1,3,5,7,8],[2],[4],[6]]=>4 [[1,2,5,7,8],[3],[4],[6]]=>4 [[1,3,4,7,8],[2],[5],[6]]=>4 [[1,2,4,7,8],[3],[5],[6]]=>4 [[1,2,3,7,8],[4],[5],[6]]=>4 [[1,4,5,6,8],[2],[3],[7]]=>4 [[1,3,5,6,8],[2],[4],[7]]=>4 [[1,2,5,6,8],[3],[4],[7]]=>4 [[1,3,4,6,8],[2],[5],[7]]=>4 [[1,2,4,6,8],[3],[5],[7]]=>4 [[1,2,3,6,8],[4],[5],[7]]=>4 [[1,3,4,5,8],[2],[6],[7]]=>4 [[1,2,4,5,8],[3],[6],[7]]=>4 [[1,2,3,5,8],[4],[6],[7]]=>4 [[1,2,3,4,8],[5],[6],[7]]=>4 [[1,4,5,6,7],[2],[3],[8]]=>3 [[1,3,5,6,7],[2],[4],[8]]=>3 [[1,2,5,6,7],[3],[4],[8]]=>3 [[1,3,4,6,7],[2],[5],[8]]=>3 [[1,2,4,6,7],[3],[5],[8]]=>3 [[1,2,3,6,7],[4],[5],[8]]=>3 [[1,3,4,5,7],[2],[6],[8]]=>3 [[1,2,4,5,7],[3],[6],[8]]=>3 [[1,2,3,5,7],[4],[6],[8]]=>3 [[1,2,3,4,7],[5],[6],[8]]=>3 [[1,3,4,5,6],[2],[7],[8]]=>3 [[1,2,4,5,6],[3],[7],[8]]=>3 [[1,2,3,5,6],[4],[7],[8]]=>3 [[1,2,3,4,6],[5],[7],[8]]=>3 [[1,2,3,4,5],[6],[7],[8]]=>3 [[1,3,5,7],[2,4,6,8]]=>4 [[1,2,5,7],[3,4,6,8]]=>4 [[1,3,4,7],[2,5,6,8]]=>4 [[1,2,4,7],[3,5,6,8]]=>4 [[1,2,3,7],[4,5,6,8]]=>4 [[1,3,5,6],[2,4,7,8]]=>4 [[1,2,5,6],[3,4,7,8]]=>4 [[1,3,4,6],[2,5,7,8]]=>4 [[1,2,4,6],[3,5,7,8]]=>4 [[1,2,3,6],[4,5,7,8]]=>4 [[1,3,4,5],[2,6,7,8]]=>4 [[1,2,4,5],[3,6,7,8]]=>4 [[1,2,3,5],[4,6,7,8]]=>4 [[1,2,3,4],[5,6,7,8]]=>4 [[1,4,6,8],[2,5,7],[3]]=>3 [[1,3,6,8],[2,5,7],[4]]=>3 [[1,2,6,8],[3,5,7],[4]]=>3 [[1,3,6,8],[2,4,7],[5]]=>3 [[1,2,6,8],[3,4,7],[5]]=>3 [[1,4,5,8],[2,6,7],[3]]=>3 [[1,3,5,8],[2,6,7],[4]]=>3 [[1,2,5,8],[3,6,7],[4]]=>3 [[1,3,4,8],[2,6,7],[5]]=>3 [[1,2,4,8],[3,6,7],[5]]=>3 [[1,2,3,8],[4,6,7],[5]]=>3 [[1,3,5,8],[2,4,7],[6]]=>3 [[1,2,5,8],[3,4,7],[6]]=>3 [[1,3,4,8],[2,5,7],[6]]=>3 [[1,2,4,8],[3,5,7],[6]]=>3 [[1,2,3,8],[4,5,7],[6]]=>3 [[1,3,5,8],[2,4,6],[7]]=>3 [[1,2,5,8],[3,4,6],[7]]=>3 [[1,3,4,8],[2,5,6],[7]]=>3 [[1,2,4,8],[3,5,6],[7]]=>3 [[1,2,3,8],[4,5,6],[7]]=>3 [[1,4,6,7],[2,5,8],[3]]=>3 [[1,3,6,7],[2,5,8],[4]]=>3 [[1,2,6,7],[3,5,8],[4]]=>3 [[1,3,6,7],[2,4,8],[5]]=>3 [[1,2,6,7],[3,4,8],[5]]=>3 [[1,4,5,7],[2,6,8],[3]]=>3 [[1,3,5,7],[2,6,8],[4]]=>3 [[1,2,5,7],[3,6,8],[4]]=>3 [[1,3,4,7],[2,6,8],[5]]=>3 [[1,2,4,7],[3,6,8],[5]]=>3 [[1,2,3,7],[4,6,8],[5]]=>3 [[1,3,5,7],[2,4,8],[6]]=>3 [[1,2,5,7],[3,4,8],[6]]=>3 [[1,3,4,7],[2,5,8],[6]]=>3 [[1,2,4,7],[3,5,8],[6]]=>3 [[1,2,3,7],[4,5,8],[6]]=>3 [[1,4,5,6],[2,7,8],[3]]=>3 [[1,3,5,6],[2,7,8],[4]]=>3 [[1,2,5,6],[3,7,8],[4]]=>3 [[1,3,4,6],[2,7,8],[5]]=>3 [[1,2,4,6],[3,7,8],[5]]=>3 [[1,2,3,6],[4,7,8],[5]]=>3 [[1,3,4,5],[2,7,8],[6]]=>3 [[1,2,4,5],[3,7,8],[6]]=>3 [[1,2,3,5],[4,7,8],[6]]=>3 [[1,2,3,4],[5,7,8],[6]]=>3 [[1,3,5,6],[2,4,8],[7]]=>3 [[1,2,5,6],[3,4,8],[7]]=>3 [[1,3,4,6],[2,5,8],[7]]=>3 [[1,2,4,6],[3,5,8],[7]]=>3 [[1,2,3,6],[4,5,8],[7]]=>3 [[1,3,4,5],[2,6,8],[7]]=>3 [[1,2,4,5],[3,6,8],[7]]=>3 [[1,2,3,5],[4,6,8],[7]]=>3 [[1,2,3,4],[5,6,8],[7]]=>3 [[1,3,5,7],[2,4,6],[8]]=>2 [[1,2,5,7],[3,4,6],[8]]=>2 [[1,3,4,7],[2,5,6],[8]]=>2 [[1,2,4,7],[3,5,6],[8]]=>2 [[1,2,3,7],[4,5,6],[8]]=>2 [[1,3,5,6],[2,4,7],[8]]=>2 [[1,2,5,6],[3,4,7],[8]]=>2 [[1,3,4,6],[2,5,7],[8]]=>2 [[1,2,4,6],[3,5,7],[8]]=>2 [[1,2,3,6],[4,5,7],[8]]=>2 [[1,3,4,5],[2,6,7],[8]]=>2 [[1,2,4,5],[3,6,7],[8]]=>2 [[1,2,3,5],[4,6,7],[8]]=>2 [[1,2,3,4],[5,6,7],[8]]=>2 [[1,4,7,8],[2,5],[3,6]]=>3 [[1,3,7,8],[2,5],[4,6]]=>3 [[1,2,7,8],[3,5],[4,6]]=>3 [[1,3,7,8],[2,4],[5,6]]=>3 [[1,2,7,8],[3,4],[5,6]]=>3 [[1,4,6,8],[2,5],[3,7]]=>3 [[1,3,6,8],[2,5],[4,7]]=>3 [[1,2,6,8],[3,5],[4,7]]=>3 [[1,3,6,8],[2,4],[5,7]]=>3 [[1,2,6,8],[3,4],[5,7]]=>3 [[1,4,5,8],[2,6],[3,7]]=>3 [[1,3,5,8],[2,6],[4,7]]=>3 [[1,2,5,8],[3,6],[4,7]]=>3 [[1,3,4,8],[2,6],[5,7]]=>3 [[1,2,4,8],[3,6],[5,7]]=>3 [[1,2,3,8],[4,6],[5,7]]=>3 [[1,3,5,8],[2,4],[6,7]]=>3 [[1,2,5,8],[3,4],[6,7]]=>3 [[1,3,4,8],[2,5],[6,7]]=>3 [[1,2,4,8],[3,5],[6,7]]=>3 [[1,2,3,8],[4,5],[6,7]]=>3 [[1,4,6,7],[2,5],[3,8]]=>3 [[1,3,6,7],[2,5],[4,8]]=>3 [[1,2,6,7],[3,5],[4,8]]=>3 [[1,3,6,7],[2,4],[5,8]]=>3 [[1,2,6,7],[3,4],[5,8]]=>3 [[1,4,5,7],[2,6],[3,8]]=>3 [[1,3,5,7],[2,6],[4,8]]=>3 [[1,2,5,7],[3,6],[4,8]]=>3 [[1,3,4,7],[2,6],[5,8]]=>3 [[1,2,4,7],[3,6],[5,8]]=>3 [[1,2,3,7],[4,6],[5,8]]=>3 [[1,3,5,7],[2,4],[6,8]]=>3 [[1,2,5,7],[3,4],[6,8]]=>3 [[1,3,4,7],[2,5],[6,8]]=>3 [[1,2,4,7],[3,5],[6,8]]=>3 [[1,2,3,7],[4,5],[6,8]]=>3 [[1,4,5,6],[2,7],[3,8]]=>3 [[1,3,5,6],[2,7],[4,8]]=>3 [[1,2,5,6],[3,7],[4,8]]=>3 [[1,3,4,6],[2,7],[5,8]]=>3 [[1,2,4,6],[3,7],[5,8]]=>3 [[1,2,3,6],[4,7],[5,8]]=>3 [[1,3,4,5],[2,7],[6,8]]=>3 [[1,2,4,5],[3,7],[6,8]]=>3 [[1,2,3,5],[4,7],[6,8]]=>3 [[1,2,3,4],[5,7],[6,8]]=>3 [[1,3,5,6],[2,4],[7,8]]=>3 [[1,2,5,6],[3,4],[7,8]]=>3 [[1,3,4,6],[2,5],[7,8]]=>3 [[1,2,4,6],[3,5],[7,8]]=>3 [[1,2,3,6],[4,5],[7,8]]=>3 [[1,3,4,5],[2,6],[7,8]]=>3 [[1,2,4,5],[3,6],[7,8]]=>3 [[1,2,3,5],[4,6],[7,8]]=>3 [[1,2,3,4],[5,6],[7,8]]=>3 [[1,5,7,8],[2,6],[3],[4]]=>3 [[1,4,7,8],[2,6],[3],[5]]=>3 [[1,3,7,8],[2,6],[4],[5]]=>3 [[1,2,7,8],[3,6],[4],[5]]=>3 [[1,4,7,8],[2,5],[3],[6]]=>3 [[1,3,7,8],[2,5],[4],[6]]=>3 [[1,2,7,8],[3,5],[4],[6]]=>3 [[1,3,7,8],[2,4],[5],[6]]=>3 [[1,2,7,8],[3,4],[5],[6]]=>3 [[1,5,6,8],[2,7],[3],[4]]=>3 [[1,4,6,8],[2,7],[3],[5]]=>3 [[1,3,6,8],[2,7],[4],[5]]=>3 [[1,2,6,8],[3,7],[4],[5]]=>3 [[1,4,5,8],[2,7],[3],[6]]=>3 [[1,3,5,8],[2,7],[4],[6]]=>3 [[1,2,5,8],[3,7],[4],[6]]=>3 [[1,3,4,8],[2,7],[5],[6]]=>3 [[1,2,4,8],[3,7],[5],[6]]=>3 [[1,2,3,8],[4,7],[5],[6]]=>3 [[1,4,6,8],[2,5],[3],[7]]=>3 [[1,3,6,8],[2,5],[4],[7]]=>3 [[1,2,6,8],[3,5],[4],[7]]=>3 [[1,3,6,8],[2,4],[5],[7]]=>3 [[1,2,6,8],[3,4],[5],[7]]=>3 [[1,4,5,8],[2,6],[3],[7]]=>3 [[1,3,5,8],[2,6],[4],[7]]=>3 [[1,2,5,8],[3,6],[4],[7]]=>3 [[1,3,4,8],[2,6],[5],[7]]=>3 [[1,2,4,8],[3,6],[5],[7]]=>3 [[1,2,3,8],[4,6],[5],[7]]=>3 [[1,3,5,8],[2,4],[6],[7]]=>3 [[1,2,5,8],[3,4],[6],[7]]=>3 [[1,3,4,8],[2,5],[6],[7]]=>3 [[1,2,4,8],[3,5],[6],[7]]=>3 [[1,2,3,8],[4,5],[6],[7]]=>3 [[1,5,6,7],[2,8],[3],[4]]=>2 [[1,4,6,7],[2,8],[3],[5]]=>2 [[1,3,6,7],[2,8],[4],[5]]=>2 [[1,2,6,7],[3,8],[4],[5]]=>2 [[1,4,5,7],[2,8],[3],[6]]=>2 [[1,3,5,7],[2,8],[4],[6]]=>2 [[1,2,5,7],[3,8],[4],[6]]=>2 [[1,3,4,7],[2,8],[5],[6]]=>2 [[1,2,4,7],[3,8],[5],[6]]=>2 [[1,2,3,7],[4,8],[5],[6]]=>2 [[1,4,5,6],[2,8],[3],[7]]=>2 [[1,3,5,6],[2,8],[4],[7]]=>2 [[1,2,5,6],[3,8],[4],[7]]=>2 [[1,3,4,6],[2,8],[5],[7]]=>2 [[1,2,4,6],[3,8],[5],[7]]=>2 [[1,2,3,6],[4,8],[5],[7]]=>2 [[1,3,4,5],[2,8],[6],[7]]=>2 [[1,2,4,5],[3,8],[6],[7]]=>2 [[1,2,3,5],[4,8],[6],[7]]=>2 [[1,2,3,4],[5,8],[6],[7]]=>2 [[1,4,6,7],[2,5],[3],[8]]=>3 [[1,3,6,7],[2,5],[4],[8]]=>3 [[1,2,6,7],[3,5],[4],[8]]=>3 [[1,3,6,7],[2,4],[5],[8]]=>3 [[1,2,6,7],[3,4],[5],[8]]=>3 [[1,4,5,7],[2,6],[3],[8]]=>3 [[1,3,5,7],[2,6],[4],[8]]=>3 [[1,2,5,7],[3,6],[4],[8]]=>3 [[1,3,4,7],[2,6],[5],[8]]=>3 [[1,2,4,7],[3,6],[5],[8]]=>3 [[1,2,3,7],[4,6],[5],[8]]=>3 [[1,3,5,7],[2,4],[6],[8]]=>3 [[1,2,5,7],[3,4],[6],[8]]=>3 [[1,3,4,7],[2,5],[6],[8]]=>3 [[1,2,4,7],[3,5],[6],[8]]=>3 [[1,2,3,7],[4,5],[6],[8]]=>3 [[1,4,5,6],[2,7],[3],[8]]=>3 [[1,3,5,6],[2,7],[4],[8]]=>3 [[1,2,5,6],[3,7],[4],[8]]=>3 [[1,3,4,6],[2,7],[5],[8]]=>3 [[1,2,4,6],[3,7],[5],[8]]=>3 [[1,2,3,6],[4,7],[5],[8]]=>3 [[1,3,4,5],[2,7],[6],[8]]=>3 [[1,2,4,5],[3,7],[6],[8]]=>3 [[1,2,3,5],[4,7],[6],[8]]=>3 [[1,2,3,4],[5,7],[6],[8]]=>3 [[1,3,5,6],[2,4],[7],[8]]=>3 [[1,2,5,6],[3,4],[7],[8]]=>3 [[1,3,4,6],[2,5],[7],[8]]=>3 [[1,2,4,6],[3,5],[7],[8]]=>3 [[1,2,3,6],[4,5],[7],[8]]=>3 [[1,3,4,5],[2,6],[7],[8]]=>3 [[1,2,4,5],[3,6],[7],[8]]=>3 [[1,2,3,5],[4,6],[7],[8]]=>3 [[1,2,3,4],[5,6],[7],[8]]=>3 [[1,6,7,8],[2],[3],[4],[5]]=>3 [[1,5,7,8],[2],[3],[4],[6]]=>3 [[1,4,7,8],[2],[3],[5],[6]]=>3 [[1,3,7,8],[2],[4],[5],[6]]=>3 [[1,2,7,8],[3],[4],[5],[6]]=>3 [[1,5,6,8],[2],[3],[4],[7]]=>3 [[1,4,6,8],[2],[3],[5],[7]]=>3 [[1,3,6,8],[2],[4],[5],[7]]=>3 [[1,2,6,8],[3],[4],[5],[7]]=>3 [[1,4,5,8],[2],[3],[6],[7]]=>3 [[1,3,5,8],[2],[4],[6],[7]]=>3 [[1,2,5,8],[3],[4],[6],[7]]=>3 [[1,3,4,8],[2],[5],[6],[7]]=>3 [[1,2,4,8],[3],[5],[6],[7]]=>3 [[1,2,3,8],[4],[5],[6],[7]]=>3 [[1,5,6,7],[2],[3],[4],[8]]=>4 [[1,4,6,7],[2],[3],[5],[8]]=>4 [[1,3,6,7],[2],[4],[5],[8]]=>4 [[1,2,6,7],[3],[4],[5],[8]]=>4 [[1,4,5,7],[2],[3],[6],[8]]=>4 [[1,3,5,7],[2],[4],[6],[8]]=>4 [[1,2,5,7],[3],[4],[6],[8]]=>4 [[1,3,4,7],[2],[5],[6],[8]]=>4 [[1,2,4,7],[3],[5],[6],[8]]=>4 [[1,2,3,7],[4],[5],[6],[8]]=>4 [[1,4,5,6],[2],[3],[7],[8]]=>4 [[1,3,5,6],[2],[4],[7],[8]]=>4 [[1,2,5,6],[3],[4],[7],[8]]=>4 [[1,3,4,6],[2],[5],[7],[8]]=>4 [[1,2,4,6],[3],[5],[7],[8]]=>4 [[1,2,3,6],[4],[5],[7],[8]]=>4 [[1,3,4,5],[2],[6],[7],[8]]=>4 [[1,2,4,5],[3],[6],[7],[8]]=>4 [[1,2,3,5],[4],[6],[7],[8]]=>4 [[1,2,3,4],[5],[6],[7],[8]]=>4 [[1,4,7],[2,5,8],[3,6]]=>3 [[1,3,7],[2,5,8],[4,6]]=>3 [[1,2,7],[3,5,8],[4,6]]=>3 [[1,3,7],[2,4,8],[5,6]]=>3 [[1,2,7],[3,4,8],[5,6]]=>3 [[1,4,6],[2,5,8],[3,7]]=>3 [[1,3,6],[2,5,8],[4,7]]=>3 [[1,2,6],[3,5,8],[4,7]]=>3 [[1,3,6],[2,4,8],[5,7]]=>3 [[1,2,6],[3,4,8],[5,7]]=>3 [[1,4,5],[2,6,8],[3,7]]=>3 [[1,3,5],[2,6,8],[4,7]]=>3 [[1,2,5],[3,6,8],[4,7]]=>3 [[1,3,4],[2,6,8],[5,7]]=>3 [[1,2,4],[3,6,8],[5,7]]=>3 [[1,2,3],[4,6,8],[5,7]]=>3 [[1,3,5],[2,4,8],[6,7]]=>3 [[1,2,5],[3,4,8],[6,7]]=>3 [[1,3,4],[2,5,8],[6,7]]=>3 [[1,2,4],[3,5,8],[6,7]]=>3 [[1,2,3],[4,5,8],[6,7]]=>3 [[1,4,6],[2,5,7],[3,8]]=>3 [[1,3,6],[2,5,7],[4,8]]=>3 [[1,2,6],[3,5,7],[4,8]]=>3 [[1,3,6],[2,4,7],[5,8]]=>3 [[1,2,6],[3,4,7],[5,8]]=>3 [[1,4,5],[2,6,7],[3,8]]=>3 [[1,3,5],[2,6,7],[4,8]]=>3 [[1,2,5],[3,6,7],[4,8]]=>3 [[1,3,4],[2,6,7],[5,8]]=>3 [[1,2,4],[3,6,7],[5,8]]=>3 [[1,2,3],[4,6,7],[5,8]]=>3 [[1,3,5],[2,4,7],[6,8]]=>3 [[1,2,5],[3,4,7],[6,8]]=>3 [[1,3,4],[2,5,7],[6,8]]=>3 [[1,2,4],[3,5,7],[6,8]]=>3 [[1,2,3],[4,5,7],[6,8]]=>3 [[1,3,5],[2,4,6],[7,8]]=>3 [[1,2,5],[3,4,6],[7,8]]=>3 [[1,3,4],[2,5,6],[7,8]]=>3 [[1,2,4],[3,5,6],[7,8]]=>3 [[1,2,3],[4,5,6],[7,8]]=>3 [[1,5,7],[2,6,8],[3],[4]]=>3 [[1,4,7],[2,6,8],[3],[5]]=>3 [[1,3,7],[2,6,8],[4],[5]]=>3 [[1,2,7],[3,6,8],[4],[5]]=>3 [[1,4,7],[2,5,8],[3],[6]]=>3 [[1,3,7],[2,5,8],[4],[6]]=>3 [[1,2,7],[3,5,8],[4],[6]]=>3 [[1,3,7],[2,4,8],[5],[6]]=>3 [[1,2,7],[3,4,8],[5],[6]]=>3 [[1,5,6],[2,7,8],[3],[4]]=>3 [[1,4,6],[2,7,8],[3],[5]]=>3 [[1,3,6],[2,7,8],[4],[5]]=>3 [[1,2,6],[3,7,8],[4],[5]]=>3 [[1,4,5],[2,7,8],[3],[6]]=>3 [[1,3,5],[2,7,8],[4],[6]]=>3 [[1,2,5],[3,7,8],[4],[6]]=>3 [[1,3,4],[2,7,8],[5],[6]]=>3 [[1,2,4],[3,7,8],[5],[6]]=>3 [[1,2,3],[4,7,8],[5],[6]]=>3 [[1,4,6],[2,5,8],[3],[7]]=>3 [[1,3,6],[2,5,8],[4],[7]]=>3 [[1,2,6],[3,5,8],[4],[7]]=>3 [[1,3,6],[2,4,8],[5],[7]]=>3 [[1,2,6],[3,4,8],[5],[7]]=>3 [[1,4,5],[2,6,8],[3],[7]]=>3 [[1,3,5],[2,6,8],[4],[7]]=>3 [[1,2,5],[3,6,8],[4],[7]]=>3 [[1,3,4],[2,6,8],[5],[7]]=>3 [[1,2,4],[3,6,8],[5],[7]]=>3 [[1,2,3],[4,6,8],[5],[7]]=>3 [[1,3,5],[2,4,8],[6],[7]]=>3 [[1,2,5],[3,4,8],[6],[7]]=>3 [[1,3,4],[2,5,8],[6],[7]]=>3 [[1,2,4],[3,5,8],[6],[7]]=>3 [[1,2,3],[4,5,8],[6],[7]]=>3 [[1,4,6],[2,5,7],[3],[8]]=>3 [[1,3,6],[2,5,7],[4],[8]]=>3 [[1,2,6],[3,5,7],[4],[8]]=>3 [[1,3,6],[2,4,7],[5],[8]]=>3 [[1,2,6],[3,4,7],[5],[8]]=>3 [[1,4,5],[2,6,7],[3],[8]]=>3 [[1,3,5],[2,6,7],[4],[8]]=>3 [[1,2,5],[3,6,7],[4],[8]]=>3 [[1,3,4],[2,6,7],[5],[8]]=>3 [[1,2,4],[3,6,7],[5],[8]]=>3 [[1,2,3],[4,6,7],[5],[8]]=>3 [[1,3,5],[2,4,7],[6],[8]]=>3 [[1,2,5],[3,4,7],[6],[8]]=>3 [[1,3,4],[2,5,7],[6],[8]]=>3 [[1,2,4],[3,5,7],[6],[8]]=>3 [[1,2,3],[4,5,7],[6],[8]]=>3 [[1,3,5],[2,4,6],[7],[8]]=>3 [[1,2,5],[3,4,6],[7],[8]]=>3 [[1,3,4],[2,5,6],[7],[8]]=>3 [[1,2,4],[3,5,6],[7],[8]]=>3 [[1,2,3],[4,5,6],[7],[8]]=>3 [[1,5,8],[2,6],[3,7],[4]]=>2 [[1,4,8],[2,6],[3,7],[5]]=>2 [[1,3,8],[2,6],[4,7],[5]]=>2 [[1,2,8],[3,6],[4,7],[5]]=>2 [[1,4,8],[2,5],[3,7],[6]]=>2 [[1,3,8],[2,5],[4,7],[6]]=>2 [[1,2,8],[3,5],[4,7],[6]]=>2 [[1,3,8],[2,4],[5,7],[6]]=>2 [[1,2,8],[3,4],[5,7],[6]]=>2 [[1,4,8],[2,5],[3,6],[7]]=>2 [[1,3,8],[2,5],[4,6],[7]]=>2 [[1,2,8],[3,5],[4,6],[7]]=>2 [[1,3,8],[2,4],[5,6],[7]]=>2 [[1,2,8],[3,4],[5,6],[7]]=>2 [[1,5,7],[2,6],[3,8],[4]]=>3 [[1,4,7],[2,6],[3,8],[5]]=>3 [[1,3,7],[2,6],[4,8],[5]]=>3 [[1,2,7],[3,6],[4,8],[5]]=>3 [[1,4,7],[2,5],[3,8],[6]]=>3 [[1,3,7],[2,5],[4,8],[6]]=>3 [[1,2,7],[3,5],[4,8],[6]]=>3 [[1,3,7],[2,4],[5,8],[6]]=>3 [[1,2,7],[3,4],[5,8],[6]]=>3 [[1,5,6],[2,7],[3,8],[4]]=>3 [[1,4,6],[2,7],[3,8],[5]]=>3 [[1,3,6],[2,7],[4,8],[5]]=>3 [[1,2,6],[3,7],[4,8],[5]]=>3 [[1,4,5],[2,7],[3,8],[6]]=>3 [[1,3,5],[2,7],[4,8],[6]]=>3 [[1,2,5],[3,7],[4,8],[6]]=>3 [[1,3,4],[2,7],[5,8],[6]]=>3 [[1,2,4],[3,7],[5,8],[6]]=>3 [[1,2,3],[4,7],[5,8],[6]]=>3 [[1,4,6],[2,5],[3,8],[7]]=>3 [[1,3,6],[2,5],[4,8],[7]]=>3 [[1,2,6],[3,5],[4,8],[7]]=>3 [[1,3,6],[2,4],[5,8],[7]]=>3 [[1,2,6],[3,4],[5,8],[7]]=>3 [[1,4,5],[2,6],[3,8],[7]]=>3 [[1,3,5],[2,6],[4,8],[7]]=>3 [[1,2,5],[3,6],[4,8],[7]]=>3 [[1,3,4],[2,6],[5,8],[7]]=>3 [[1,2,4],[3,6],[5,8],[7]]=>3 [[1,2,3],[4,6],[5,8],[7]]=>3 [[1,3,5],[2,4],[6,8],[7]]=>3 [[1,2,5],[3,4],[6,8],[7]]=>3 [[1,3,4],[2,5],[6,8],[7]]=>3 [[1,2,4],[3,5],[6,8],[7]]=>3 [[1,2,3],[4,5],[6,8],[7]]=>3 [[1,4,7],[2,5],[3,6],[8]]=>3 [[1,3,7],[2,5],[4,6],[8]]=>3 [[1,2,7],[3,5],[4,6],[8]]=>3 [[1,3,7],[2,4],[5,6],[8]]=>3 [[1,2,7],[3,4],[5,6],[8]]=>3 [[1,4,6],[2,5],[3,7],[8]]=>3 [[1,3,6],[2,5],[4,7],[8]]=>3 [[1,2,6],[3,5],[4,7],[8]]=>3 [[1,3,6],[2,4],[5,7],[8]]=>3 [[1,2,6],[3,4],[5,7],[8]]=>3 [[1,4,5],[2,6],[3,7],[8]]=>3 [[1,3,5],[2,6],[4,7],[8]]=>3 [[1,2,5],[3,6],[4,7],[8]]=>3 [[1,3,4],[2,6],[5,7],[8]]=>3 [[1,2,4],[3,6],[5,7],[8]]=>3 [[1,2,3],[4,6],[5,7],[8]]=>3 [[1,3,5],[2,4],[6,7],[8]]=>3 [[1,2,5],[3,4],[6,7],[8]]=>3 [[1,3,4],[2,5],[6,7],[8]]=>3 [[1,2,4],[3,5],[6,7],[8]]=>3 [[1,2,3],[4,5],[6,7],[8]]=>3 [[1,6,8],[2,7],[3],[4],[5]]=>2 [[1,5,8],[2,7],[3],[4],[6]]=>2 [[1,4,8],[2,7],[3],[5],[6]]=>2 [[1,3,8],[2,7],[4],[5],[6]]=>2 [[1,2,8],[3,7],[4],[5],[6]]=>2 [[1,5,8],[2,6],[3],[4],[7]]=>2 [[1,4,8],[2,6],[3],[5],[7]]=>2 [[1,3,8],[2,6],[4],[5],[7]]=>2 [[1,2,8],[3,6],[4],[5],[7]]=>2 [[1,4,8],[2,5],[3],[6],[7]]=>2 [[1,3,8],[2,5],[4],[6],[7]]=>2 [[1,2,8],[3,5],[4],[6],[7]]=>2 [[1,3,8],[2,4],[5],[6],[7]]=>2 [[1,2,8],[3,4],[5],[6],[7]]=>2 [[1,6,7],[2,8],[3],[4],[5]]=>2 [[1,5,7],[2,8],[3],[4],[6]]=>2 [[1,4,7],[2,8],[3],[5],[6]]=>2 [[1,3,7],[2,8],[4],[5],[6]]=>2 [[1,2,7],[3,8],[4],[5],[6]]=>2 [[1,5,6],[2,8],[3],[4],[7]]=>2 [[1,4,6],[2,8],[3],[5],[7]]=>2 [[1,3,6],[2,8],[4],[5],[7]]=>2 [[1,2,6],[3,8],[4],[5],[7]]=>2 [[1,4,5],[2,8],[3],[6],[7]]=>2 [[1,3,5],[2,8],[4],[6],[7]]=>2 [[1,2,5],[3,8],[4],[6],[7]]=>2 [[1,3,4],[2,8],[5],[6],[7]]=>2 [[1,2,4],[3,8],[5],[6],[7]]=>2 [[1,2,3],[4,8],[5],[6],[7]]=>2 [[1,5,7],[2,6],[3],[4],[8]]=>4 [[1,4,7],[2,6],[3],[5],[8]]=>4 [[1,3,7],[2,6],[4],[5],[8]]=>4 [[1,2,7],[3,6],[4],[5],[8]]=>4 [[1,4,7],[2,5],[3],[6],[8]]=>4 [[1,3,7],[2,5],[4],[6],[8]]=>4 [[1,2,7],[3,5],[4],[6],[8]]=>4 [[1,3,7],[2,4],[5],[6],[8]]=>4 [[1,2,7],[3,4],[5],[6],[8]]=>4 [[1,5,6],[2,7],[3],[4],[8]]=>4 [[1,4,6],[2,7],[3],[5],[8]]=>4 [[1,3,6],[2,7],[4],[5],[8]]=>4 [[1,2,6],[3,7],[4],[5],[8]]=>4 [[1,4,5],[2,7],[3],[6],[8]]=>4 [[1,3,5],[2,7],[4],[6],[8]]=>4 [[1,2,5],[3,7],[4],[6],[8]]=>4 [[1,3,4],[2,7],[5],[6],[8]]=>4 [[1,2,4],[3,7],[5],[6],[8]]=>4 [[1,2,3],[4,7],[5],[6],[8]]=>4 [[1,4,6],[2,5],[3],[7],[8]]=>4 [[1,3,6],[2,5],[4],[7],[8]]=>4 [[1,2,6],[3,5],[4],[7],[8]]=>4 [[1,3,6],[2,4],[5],[7],[8]]=>4 [[1,2,6],[3,4],[5],[7],[8]]=>4 [[1,4,5],[2,6],[3],[7],[8]]=>4 [[1,3,5],[2,6],[4],[7],[8]]=>4 [[1,2,5],[3,6],[4],[7],[8]]=>4 [[1,3,4],[2,6],[5],[7],[8]]=>4 [[1,2,4],[3,6],[5],[7],[8]]=>4 [[1,2,3],[4,6],[5],[7],[8]]=>4 [[1,3,5],[2,4],[6],[7],[8]]=>4 [[1,2,5],[3,4],[6],[7],[8]]=>4 [[1,3,4],[2,5],[6],[7],[8]]=>4 [[1,2,4],[3,5],[6],[7],[8]]=>4 [[1,2,3],[4,5],[6],[7],[8]]=>4 [[1,7,8],[2],[3],[4],[5],[6]]=>2 [[1,6,8],[2],[3],[4],[5],[7]]=>2 [[1,5,8],[2],[3],[4],[6],[7]]=>2 [[1,4,8],[2],[3],[5],[6],[7]]=>2 [[1,3,8],[2],[4],[5],[6],[7]]=>2 [[1,2,8],[3],[4],[5],[6],[7]]=>2 [[1,6,7],[2],[3],[4],[5],[8]]=>5 [[1,5,7],[2],[3],[4],[6],[8]]=>5 [[1,4,7],[2],[3],[5],[6],[8]]=>5 [[1,3,7],[2],[4],[5],[6],[8]]=>5 [[1,2,7],[3],[4],[5],[6],[8]]=>5 [[1,5,6],[2],[3],[4],[7],[8]]=>5 [[1,4,6],[2],[3],[5],[7],[8]]=>5 [[1,3,6],[2],[4],[5],[7],[8]]=>5 [[1,2,6],[3],[4],[5],[7],[8]]=>5 [[1,4,5],[2],[3],[6],[7],[8]]=>5 [[1,3,5],[2],[4],[6],[7],[8]]=>5 [[1,2,5],[3],[4],[6],[7],[8]]=>5 [[1,3,4],[2],[5],[6],[7],[8]]=>5 [[1,2,4],[3],[5],[6],[7],[8]]=>5 [[1,2,3],[4],[5],[6],[7],[8]]=>5 [[1,5],[2,6],[3,7],[4,8]]=>4 [[1,4],[2,6],[3,7],[5,8]]=>4 [[1,3],[2,6],[4,7],[5,8]]=>4 [[1,2],[3,6],[4,7],[5,8]]=>4 [[1,4],[2,5],[3,7],[6,8]]=>4 [[1,3],[2,5],[4,7],[6,8]]=>4 [[1,2],[3,5],[4,7],[6,8]]=>4 [[1,3],[2,4],[5,7],[6,8]]=>4 [[1,2],[3,4],[5,7],[6,8]]=>4 [[1,4],[2,5],[3,6],[7,8]]=>4 [[1,3],[2,5],[4,6],[7,8]]=>4 [[1,2],[3,5],[4,6],[7,8]]=>4 [[1,3],[2,4],[5,6],[7,8]]=>4 [[1,2],[3,4],[5,6],[7,8]]=>4 [[1,6],[2,7],[3,8],[4],[5]]=>3 [[1,5],[2,7],[3,8],[4],[6]]=>3 [[1,4],[2,7],[3,8],[5],[6]]=>3 [[1,3],[2,7],[4,8],[5],[6]]=>3 [[1,2],[3,7],[4,8],[5],[6]]=>3 [[1,5],[2,6],[3,8],[4],[7]]=>3 [[1,4],[2,6],[3,8],[5],[7]]=>3 [[1,3],[2,6],[4,8],[5],[7]]=>3 [[1,2],[3,6],[4,8],[5],[7]]=>3 [[1,4],[2,5],[3,8],[6],[7]]=>3 [[1,3],[2,5],[4,8],[6],[7]]=>3 [[1,2],[3,5],[4,8],[6],[7]]=>3 [[1,3],[2,4],[5,8],[6],[7]]=>3 [[1,2],[3,4],[5,8],[6],[7]]=>3 [[1,5],[2,6],[3,7],[4],[8]]=>4 [[1,4],[2,6],[3,7],[5],[8]]=>4 [[1,3],[2,6],[4,7],[5],[8]]=>4 [[1,2],[3,6],[4,7],[5],[8]]=>4 [[1,4],[2,5],[3,7],[6],[8]]=>4 [[1,3],[2,5],[4,7],[6],[8]]=>4 [[1,2],[3,5],[4,7],[6],[8]]=>4 [[1,3],[2,4],[5,7],[6],[8]]=>4 [[1,2],[3,4],[5,7],[6],[8]]=>4 [[1,4],[2,5],[3,6],[7],[8]]=>4 [[1,3],[2,5],[4,6],[7],[8]]=>4 [[1,2],[3,5],[4,6],[7],[8]]=>4 [[1,3],[2,4],[5,6],[7],[8]]=>4 [[1,2],[3,4],[5,6],[7],[8]]=>4 [[1,7],[2,8],[3],[4],[5],[6]]=>2 [[1,6],[2,8],[3],[4],[5],[7]]=>2 [[1,5],[2,8],[3],[4],[6],[7]]=>2 [[1,4],[2,8],[3],[5],[6],[7]]=>2 [[1,3],[2,8],[4],[5],[6],[7]]=>2 [[1,2],[3,8],[4],[5],[6],[7]]=>2 [[1,6],[2,7],[3],[4],[5],[8]]=>5 [[1,5],[2,7],[3],[4],[6],[8]]=>5 [[1,4],[2,7],[3],[5],[6],[8]]=>5 [[1,3],[2,7],[4],[5],[6],[8]]=>5 [[1,2],[3,7],[4],[5],[6],[8]]=>5 [[1,5],[2,6],[3],[4],[7],[8]]=>5 [[1,4],[2,6],[3],[5],[7],[8]]=>5 [[1,3],[2,6],[4],[5],[7],[8]]=>5 [[1,2],[3,6],[4],[5],[7],[8]]=>5 [[1,4],[2,5],[3],[6],[7],[8]]=>5 [[1,3],[2,5],[4],[6],[7],[8]]=>5 [[1,2],[3,5],[4],[6],[7],[8]]=>5 [[1,3],[2,4],[5],[6],[7],[8]]=>5 [[1,2],[3,4],[5],[6],[7],[8]]=>5 [[1,8],[2],[3],[4],[5],[6],[7]]=>1 [[1,7],[2],[3],[4],[5],[6],[8]]=>6 [[1,6],[2],[3],[4],[5],[7],[8]]=>6 [[1,5],[2],[3],[4],[6],[7],[8]]=>6 [[1,4],[2],[3],[5],[6],[7],[8]]=>6 [[1,3],[2],[4],[5],[6],[7],[8]]=>6 [[1,2],[3],[4],[5],[6],[7],[8]]=>6 [[1],[2],[3],[4],[5],[6],[7],[8]]=>7 [[1,2,3,4,5,6,7,8,9]]=>8 [[1,2,3,4,5,6,7,8],[9]]=>1 [[1,2,3,4,5,6,7],[8,9]]=>2 [[1,2,3,4,5,6,7],[8],[9]]=>2 [[1,3,4,5,6,7,8,9],[2]]=>7 [[1,2,5,6,7,8,9],[3,4]]=>6 [[1,4,5,6,7,8,9],[2],[3]]=>6 [[1,2,3,7,8,9],[4,5,6]]=>5 [[1,3,5,7,8,9],[2,4,6]]=>5 [[1,3,5,6,7,8,9],[2,4]]=>6 [[1,2,3,4,5,6,8],[7,9]]=>2 [[1,2,3,4,5,6,7,9],[8]]=>7 [[1,2,3,4,5,6,9],[7,8]]=>6 [[1,2,3,4,5,6,9],[7],[8]]=>6 [[1,2,4,5,6,7,8,9],[3]]=>7 [[1,3,4,6,7,8,9],[2,5]]=>6 [[1,3,5,6,7,8,9],[2],[4]]=>6 [[1,3,5,6,8,9],[2,4,7]]=>5 [[1,3,4,5,6,7,8],[2,9]]=>2 [[1,3,4,5,6,7,8],[2],[9]]=>2 [[1,2,3,6,7,8,9],[4,5]]=>6 [[1,2,5,6,7,8,9],[3],[4]]=>6 [[1,2,3,4,8,9],[5,6,7]]=>5 [[1,2,3,4,7,8,9],[5,6]]=>6 [[1,2,3,4,5,6,8],[7],[9]]=>2 [[1,2,3,5,7,9],[4,6,8]]=>5 [[1,2,3,4,5,7,9],[6,8]]=>6 [[1,2,4,6,8,9],[3,5,7]]=>5 [[1,2,4,6,7,8,9],[3,5]]=>6 [[1,2,4,5,6,7,8],[3,9]]=>2 [[1,3,4,5,7,9],[2,6,8]]=>5 [[1,3,4,5,6,7,9],[2,8]]=>6 [[1,2,3,5,6,7,8,9],[4]]=>7 [[1,2,4,5,7,8,9],[3,6]]=>6 [[1,2,4,6,7,8,9],[3],[5]]=>6 [[1,2,4,6,7,9],[3,5,8]]=>5 [[1,2,3,5,6,7,8],[4,9]]=>2 [[1,2,4,5,6,7,8],[3],[9]]=>2 [[1,2,3,4,5,6,8,9],[7]]=>7 [[1,2,3,4,5,7,8,9],[6]]=>7 [[1,2,3,4,6,7,8,9],[5]]=>7 [[1,2,3,4,5,8,9],[6,7]]=>6 [[1,2,3,4,5,8,9],[6],[7]]=>6 [[1,2,3,4,7,8,9],[5],[6]]=>6 [[1,2,3,6,7,8,9],[4],[5]]=>6 [[1,3,4,7,8,9],[2,5,6]]=>5 [[1,3,4,5,7,8,9],[2,6]]=>6 [[1,3,4,6,7,8,9],[2],[5]]=>6 [[1,3,5,6,7,9],[2,4,8]]=>5 [[1,2,3,4,5,7,8],[6],[9]]=>2 [[1,2,3,4,6,7,8],[5],[9]]=>2 [[1,2,3,5,6,7,8],[4],[9]]=>2 [[1,2,3,4,5,7,8],[6,9]]=>2 [[1,3,4,5,6,8,9],[2,7]]=>6 [[1,2,3,4,6,7,8],[5,9]]=>2 [[1,2,5,7,8,9],[3,4,6]]=>5 [[1,3,4,5,6,7,9],[2],[8]]=>6 [[1,3,4,5,6,8,9],[2],[7]]=>6 [[1,3,4,5,8,9],[2,6,7]]=>5 [[1,2,3,5,7,8,9],[4,6]]=>6 [[1,3,4,5,7,8,9],[2],[6]]=>6 [[1,2,3,6,8,9],[4,5,7]]=>5 [[1,2,3,4,6,8,9],[5,7]]=>6 [[1,2,4,7,8,9],[3,5,6]]=>5 [[1,2,3,4,5,7,9],[6],[8]]=>6 [[1,2,3,5,8,9],[4,6,7]]=>5 [[1,2,4,5,6,7,9],[3],[8]]=>6 [[1,2,3,4,6,8,9],[5],[7]]=>6 [[1,2,5,6,8,9],[3,4,7]]=>5 [[1,2,5,6,7,9],[3,4,8]]=>5 [[1,2,3,4,6,7,9],[5],[8]]=>6 [[1,2,3,5,6,7,9],[4,8]]=>6 [[1,2,3,5,6,8,9],[4,7]]=>6 [[1,2,3,4,6,7,9],[5,8]]=>6 [[1,2,4,5,8,9],[3,6,7]]=>5 [[1,2,4,5,6,7,9],[3,8]]=>6 [[1,2,4,5,7,9],[3,6,8]]=>5 [[1,2,3,5,6,8,9],[4],[7]]=>6 [[1,2,4,5,7,8,9],[3],[6]]=>6 [[1,2,3,5,7,8,9],[4],[6]]=>6 [[1,2,4,5,6,8,9],[3],[7]]=>6 [[1,3,4,6,7,9],[2,5,8]]=>5 [[1,2,4,5,6,8,9],[3,7]]=>6 [[1,2,3,5,6,7,9],[4],[8]]=>6 [[1,3,4,6,8,9],[2,5,7]]=>5 [[1,2,3,6,7,9],[4,5,8]]=>5
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Description
The length of the path to the largest entry in a standard Young tableau.
Code
def statistic(T):
    return sum(T.cells_containing(T.size())[0])
Created
Apr 02, 2017 at 21:02 by Martin Rubey
Updated
Apr 02, 2017 at 21:02 by Martin Rubey