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Identifier
Values
=>
Cc0007;cc-rep
[]=>0 [[1]]=>0 [[1,2]]=>0 [[1],[2]]=>1 [[1,2,3]]=>0 [[1,3],[2]]=>1 [[1,2],[3]]=>1 [[1],[2],[3]]=>2 [[1,2,3,4]]=>0 [[1,3,4],[2]]=>1 [[1,2,4],[3]]=>1 [[1,2,3],[4]]=>1 [[1,3],[2,4]]=>2 [[1,2],[3,4]]=>1 [[1,4],[2],[3]]=>2 [[1,3],[2],[4]]=>2 [[1,2],[3],[4]]=>2 [[1],[2],[3],[4]]=>3 [[1,2,3,4,5]]=>0 [[1,3,4,5],[2]]=>1 [[1,2,4,5],[3]]=>1 [[1,2,3,5],[4]]=>1 [[1,2,3,4],[5]]=>1 [[1,3,5],[2,4]]=>2 [[1,2,5],[3,4]]=>1 [[1,3,4],[2,5]]=>2 [[1,2,4],[3,5]]=>2 [[1,2,3],[4,5]]=>1 [[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]]=>3 [[1,3],[2,5],[4]]=>2 [[1,2],[3,5],[4]]=>2 [[1,3],[2,4],[5]]=>3 [[1,2],[3,4],[5]]=>2 [[1,5],[2],[3],[4]]=>3 [[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]]=>0 [[1,3,4,5,6],[2]]=>1 [[1,2,4,5,6],[3]]=>1 [[1,2,3,5,6],[4]]=>1 [[1,2,3,4,6],[5]]=>1 [[1,2,3,4,5],[6]]=>1 [[1,3,5,6],[2,4]]=>2 [[1,2,5,6],[3,4]]=>1 [[1,3,4,6],[2,5]]=>2 [[1,2,4,6],[3,5]]=>2 [[1,2,3,6],[4,5]]=>1 [[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]]=>1 [[1,4,5,6],[2],[3]]=>2 [[1,3,5,6],[2],[4]]=>2 [[1,2,5,6],[3],[4]]=>2 [[1,3,4,6],[2],[5]]=>2 [[1,2,4,6],[3],[5]]=>2 [[1,2,3,6],[4],[5]]=>2 [[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]]=>2 [[1,3,4],[2,5,6]]=>2 [[1,2,4],[3,5,6]]=>2 [[1,2,3],[4,5,6]]=>1 [[1,4,6],[2,5],[3]]=>3 [[1,3,6],[2,5],[4]]=>2 [[1,2,6],[3,5],[4]]=>2 [[1,3,6],[2,4],[5]]=>3 [[1,2,6],[3,4],[5]]=>2 [[1,4,5],[2,6],[3]]=>3 [[1,3,5],[2,6],[4]]=>3 [[1,2,5],[3,6],[4]]=>3 [[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]]=>3 [[1,2,5],[3,4],[6]]=>2 [[1,3,4],[2,5],[6]]=>3 [[1,2,4],[3,5],[6]]=>3 [[1,2,3],[4,5],[6]]=>2 [[1,5,6],[2],[3],[4]]=>3 [[1,4,6],[2],[3],[5]]=>3 [[1,3,6],[2],[4],[5]]=>3 [[1,2,6],[3],[4],[5]]=>3 [[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]]=>4 [[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]]=>2 [[1,5],[2,6],[3],[4]]=>4 [[1,4],[2,6],[3],[5]]=>3 [[1,3],[2,6],[4],[5]]=>3 [[1,2],[3,6],[4],[5]]=>3 [[1,4],[2,5],[3],[6]]=>4 [[1,3],[2,5],[4],[6]]=>3 [[1,2],[3,5],[4],[6]]=>3 [[1,3],[2,4],[5],[6]]=>4 [[1,2],[3,4],[5],[6]]=>3 [[1,6],[2],[3],[4],[5]]=>4 [[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]]=>0 [[1,3,4,5,6,7],[2]]=>1 [[1,2,4,5,6,7],[3]]=>1 [[1,2,3,5,6,7],[4]]=>1 [[1,2,3,4,6,7],[5]]=>1 [[1,2,3,4,5,7],[6]]=>1 [[1,2,3,4,5,6],[7]]=>1 [[1,3,5,6,7],[2,4]]=>2 [[1,2,5,6,7],[3,4]]=>1 [[1,3,4,6,7],[2,5]]=>2 [[1,2,4,6,7],[3,5]]=>2 [[1,2,3,6,7],[4,5]]=>1 [[1,3,4,5,7],[2,6]]=>2 [[1,2,4,5,7],[3,6]]=>2 [[1,2,3,5,7],[4,6]]=>2 [[1,2,3,4,7],[5,6]]=>1 [[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]]=>1 [[1,4,5,6,7],[2],[3]]=>2 [[1,3,5,6,7],[2],[4]]=>2 [[1,2,5,6,7],[3],[4]]=>2 [[1,3,4,6,7],[2],[5]]=>2 [[1,2,4,6,7],[3],[5]]=>2 [[1,2,3,6,7],[4],[5]]=>2 [[1,3,4,5,7],[2],[6]]=>2 [[1,2,4,5,7],[3],[6]]=>2 [[1,2,3,5,7],[4],[6]]=>2 [[1,2,3,4,7],[5],[6]]=>2 [[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]]=>2 [[1,3,4,7],[2,5,6]]=>2 [[1,2,4,7],[3,5,6]]=>2 [[1,2,3,7],[4,5,6]]=>1 [[1,3,5,6],[2,4,7]]=>3 [[1,2,5,6],[3,4,7]]=>2 [[1,3,4,6],[2,5,7]]=>3 [[1,2,4,6],[3,5,7]]=>3 [[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]]=>1 [[1,4,6,7],[2,5],[3]]=>3 [[1,3,6,7],[2,5],[4]]=>2 [[1,2,6,7],[3,5],[4]]=>2 [[1,3,6,7],[2,4],[5]]=>3 [[1,2,6,7],[3,4],[5]]=>2 [[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]]=>2 [[1,2,4,7],[3,6],[5]]=>2 [[1,2,3,7],[4,6],[5]]=>2 [[1,3,5,7],[2,4],[6]]=>3 [[1,2,5,7],[3,4],[6]]=>2 [[1,3,4,7],[2,5],[6]]=>3 [[1,2,4,7],[3,5],[6]]=>3 [[1,2,3,7],[4,5],[6]]=>2 [[1,4,5,6],[2,7],[3]]=>3 [[1,3,5,6],[2,7],[4]]=>3 [[1,2,5,6],[3,7],[4]]=>3 [[1,3,4,6],[2,7],[5]]=>3 [[1,2,4,6],[3,7],[5]]=>3 [[1,2,3,6],[4,7],[5]]=>3 [[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]]=>3 [[1,2,5,6],[3,4],[7]]=>2 [[1,3,4,6],[2,5],[7]]=>3 [[1,2,4,6],[3,5],[7]]=>3 [[1,2,3,6],[4,5],[7]]=>2 [[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]]=>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]]=>4 [[1,3,6],[2,5,7],[4]]=>3 [[1,2,6],[3,5,7],[4]]=>3 [[1,3,6],[2,4,7],[5]]=>4 [[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]]=>2 [[1,2,4],[3,6,7],[5]]=>2 [[1,2,3],[4,6,7],[5]]=>2 [[1,3,5],[2,4,7],[6]]=>3 [[1,2,5],[3,4,7],[6]]=>2 [[1,3,4],[2,5,7],[6]]=>3 [[1,2,4],[3,5,7],[6]]=>3 [[1,2,3],[4,5,7],[6]]=>2 [[1,3,5],[2,4,6],[7]]=>4 [[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]]=>2 [[1,4,7],[2,5],[3,6]]=>4 [[1,3,7],[2,5],[4,6]]=>3 [[1,2,7],[3,5],[4,6]]=>3 [[1,3,7],[2,4],[5,6]]=>3 [[1,2,7],[3,4],[5,6]]=>2 [[1,4,6],[2,5],[3,7]]=>4 [[1,3,6],[2,5],[4,7]]=>3 [[1,2,6],[3,5],[4,7]]=>3 [[1,3,6],[2,4],[5,7]]=>4 [[1,2,6],[3,4],[5,7]]=>3 [[1,4,5],[2,6],[3,7]]=>4 [[1,3,5],[2,6],[4,7]]=>4 [[1,2,5],[3,6],[4,7]]=>4 [[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]]=>2 [[1,3,4],[2,5],[6,7]]=>3 [[1,2,4],[3,5],[6,7]]=>3 [[1,2,3],[4,5],[6,7]]=>2 [[1,5,7],[2,6],[3],[4]]=>4 [[1,4,7],[2,6],[3],[5]]=>3 [[1,3,7],[2,6],[4],[5]]=>3 [[1,2,7],[3,6],[4],[5]]=>3 [[1,4,7],[2,5],[3],[6]]=>4 [[1,3,7],[2,5],[4],[6]]=>3 [[1,2,7],[3,5],[4],[6]]=>3 [[1,3,7],[2,4],[5],[6]]=>4 [[1,2,7],[3,4],[5],[6]]=>3 [[1,5,6],[2,7],[3],[4]]=>4 [[1,4,6],[2,7],[3],[5]]=>4 [[1,3,6],[2,7],[4],[5]]=>4 [[1,2,6],[3,7],[4],[5]]=>4 [[1,4,5],[2,7],[3],[6]]=>3 [[1,3,5],[2,7],[4],[6]]=>3 [[1,2,5],[3,7],[4],[6]]=>3 [[1,3,4],[2,7],[5],[6]]=>3 [[1,2,4],[3,7],[5],[6]]=>3 [[1,2,3],[4,7],[5],[6]]=>3 [[1,4,6],[2,5],[3],[7]]=>4 [[1,3,6],[2,5],[4],[7]]=>3 [[1,2,6],[3,5],[4],[7]]=>3 [[1,3,6],[2,4],[5],[7]]=>4 [[1,2,6],[3,4],[5],[7]]=>3 [[1,4,5],[2,6],[3],[7]]=>4 [[1,3,5],[2,6],[4],[7]]=>4 [[1,2,5],[3,6],[4],[7]]=>4 [[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]]=>4 [[1,2,5],[3,4],[6],[7]]=>3 [[1,3,4],[2,5],[6],[7]]=>4 [[1,2,4],[3,5],[6],[7]]=>4 [[1,2,3],[4,5],[6],[7]]=>3 [[1,6,7],[2],[3],[4],[5]]=>4 [[1,5,7],[2],[3],[4],[6]]=>4 [[1,4,7],[2],[3],[5],[6]]=>4 [[1,3,7],[2],[4],[5],[6]]=>4 [[1,2,7],[3],[4],[5],[6]]=>4 [[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]]=>5 [[1,4],[2,6],[3,7],[5]]=>4 [[1,3],[2,6],[4,7],[5]]=>4 [[1,2],[3,6],[4,7],[5]]=>4 [[1,4],[2,5],[3,7],[6]]=>4 [[1,3],[2,5],[4,7],[6]]=>3 [[1,2],[3,5],[4,7],[6]]=>3 [[1,3],[2,4],[5,7],[6]]=>4 [[1,2],[3,4],[5,7],[6]]=>3 [[1,4],[2,5],[3,6],[7]]=>5 [[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]]=>3 [[1,6],[2,7],[3],[4],[5]]=>5 [[1,5],[2,7],[3],[4],[6]]=>4 [[1,4],[2,7],[3],[5],[6]]=>4 [[1,3],[2,7],[4],[5],[6]]=>4 [[1,2],[3,7],[4],[5],[6]]=>4 [[1,5],[2,6],[3],[4],[7]]=>5 [[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]]=>5 [[1,3],[2,5],[4],[6],[7]]=>4 [[1,2],[3,5],[4],[6],[7]]=>4 [[1,3],[2,4],[5],[6],[7]]=>5 [[1,2],[3,4],[5],[6],[7]]=>4 [[1,7],[2],[3],[4],[5],[6]]=>5 [[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]]=>0 [[1,3,4,5,6,7,8],[2]]=>1 [[1,2,4,5,6,7,8],[3]]=>1 [[1,2,3,5,6,7,8],[4]]=>1 [[1,2,3,4,6,7,8],[5]]=>1 [[1,2,3,4,5,7,8],[6]]=>1 [[1,2,3,4,5,6,8],[7]]=>1 [[1,2,3,4,5,6,7],[8]]=>1 [[1,3,5,6,7,8],[2,4]]=>2 [[1,2,5,6,7,8],[3,4]]=>1 [[1,3,4,6,7,8],[2,5]]=>2 [[1,2,4,6,7,8],[3,5]]=>2 [[1,2,3,6,7,8],[4,5]]=>1 [[1,3,4,5,7,8],[2,6]]=>2 [[1,2,4,5,7,8],[3,6]]=>2 [[1,2,3,5,7,8],[4,6]]=>2 [[1,2,3,4,7,8],[5,6]]=>1 [[1,3,4,5,6,8],[2,7]]=>2 [[1,2,4,5,6,8],[3,7]]=>2 [[1,2,3,5,6,8],[4,7]]=>2 [[1,2,3,4,6,8],[5,7]]=>2 [[1,2,3,4,5,8],[6,7]]=>1 [[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]]=>1 [[1,4,5,6,7,8],[2],[3]]=>2 [[1,3,5,6,7,8],[2],[4]]=>2 [[1,2,5,6,7,8],[3],[4]]=>2 [[1,3,4,6,7,8],[2],[5]]=>2 [[1,2,4,6,7,8],[3],[5]]=>2 [[1,2,3,6,7,8],[4],[5]]=>2 [[1,3,4,5,7,8],[2],[6]]=>2 [[1,2,4,5,7,8],[3],[6]]=>2 [[1,2,3,5,7,8],[4],[6]]=>2 [[1,2,3,4,7,8],[5],[6]]=>2 [[1,3,4,5,6,8],[2],[7]]=>2 [[1,2,4,5,6,8],[3],[7]]=>2 [[1,2,3,5,6,8],[4],[7]]=>2 [[1,2,3,4,6,8],[5],[7]]=>2 [[1,2,3,4,5,8],[6],[7]]=>2 [[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]]=>3 [[1,2,5,7,8],[3,4,6]]=>2 [[1,3,4,7,8],[2,5,6]]=>2 [[1,2,4,7,8],[3,5,6]]=>2 [[1,2,3,7,8],[4,5,6]]=>1 [[1,3,5,6,8],[2,4,7]]=>3 [[1,2,5,6,8],[3,4,7]]=>2 [[1,3,4,6,8],[2,5,7]]=>3 [[1,2,4,6,8],[3,5,7]]=>3 [[1,2,3,6,8],[4,5,7]]=>2 [[1,3,4,5,8],[2,6,7]]=>2 [[1,2,4,5,8],[3,6,7]]=>2 [[1,2,3,5,8],[4,6,7]]=>2 [[1,2,3,4,8],[5,6,7]]=>1 [[1,3,5,6,7],[2,4,8]]=>3 [[1,2,5,6,7],[3,4,8]]=>2 [[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]]=>2 [[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]]=>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]]=>1 [[1,4,6,7,8],[2,5],[3]]=>3 [[1,3,6,7,8],[2,5],[4]]=>2 [[1,2,6,7,8],[3,5],[4]]=>2 [[1,3,6,7,8],[2,4],[5]]=>3 [[1,2,6,7,8],[3,4],[5]]=>2 [[1,4,5,7,8],[2,6],[3]]=>3 [[1,3,5,7,8],[2,6],[4]]=>3 [[1,2,5,7,8],[3,6],[4]]=>3 [[1,3,4,7,8],[2,6],[5]]=>2 [[1,2,4,7,8],[3,6],[5]]=>2 [[1,2,3,7,8],[4,6],[5]]=>2 [[1,3,5,7,8],[2,4],[6]]=>3 [[1,2,5,7,8],[3,4],[6]]=>2 [[1,3,4,7,8],[2,5],[6]]=>3 [[1,2,4,7,8],[3,5],[6]]=>3 [[1,2,3,7,8],[4,5],[6]]=>2 [[1,4,5,6,8],[2,7],[3]]=>3 [[1,3,5,6,8],[2,7],[4]]=>3 [[1,2,5,6,8],[3,7],[4]]=>3 [[1,3,4,6,8],[2,7],[5]]=>3 [[1,2,4,6,8],[3,7],[5]]=>3 [[1,2,3,6,8],[4,7],[5]]=>3 [[1,3,4,5,8],[2,7],[6]]=>2 [[1,2,4,5,8],[3,7],[6]]=>2 [[1,2,3,5,8],[4,7],[6]]=>2 [[1,2,3,4,8],[5,7],[6]]=>2 [[1,3,5,6,8],[2,4],[7]]=>3 [[1,2,5,6,8],[3,4],[7]]=>2 [[1,3,4,6,8],[2,5],[7]]=>3 [[1,2,4,6,8],[3,5],[7]]=>3 [[1,2,3,6,8],[4,5],[7]]=>2 [[1,3,4,5,8],[2,6],[7]]=>3 [[1,2,4,5,8],[3,6],[7]]=>3 [[1,2,3,5,8],[4,6],[7]]=>3 [[1,2,3,4,8],[5,6],[7]]=>2 [[1,4,5,6,7],[2,8],[3]]=>3 [[1,3,5,6,7],[2,8],[4]]=>3 [[1,2,5,6,7],[3,8],[4]]=>3 [[1,3,4,6,7],[2,8],[5]]=>3 [[1,2,4,6,7],[3,8],[5]]=>3 [[1,2,3,6,7],[4,8],[5]]=>3 [[1,3,4,5,7],[2,8],[6]]=>3 [[1,2,4,5,7],[3,8],[6]]=>3 [[1,2,3,5,7],[4,8],[6]]=>3 [[1,2,3,4,7],[5,8],[6]]=>3 [[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]]=>3 [[1,2,5,6,7],[3,4],[8]]=>2 [[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]]=>2 [[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]]=>2 [[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]]=>2 [[1,5,6,7,8],[2],[3],[4]]=>3 [[1,4,6,7,8],[2],[3],[5]]=>3 [[1,3,6,7,8],[2],[4],[5]]=>3 [[1,2,6,7,8],[3],[4],[5]]=>3 [[1,4,5,7,8],[2],[3],[6]]=>3 [[1,3,5,7,8],[2],[4],[6]]=>3 [[1,2,5,7,8],[3],[4],[6]]=>3 [[1,3,4,7,8],[2],[5],[6]]=>3 [[1,2,4,7,8],[3],[5],[6]]=>3 [[1,2,3,7,8],[4],[5],[6]]=>3 [[1,4,5,6,8],[2],[3],[7]]=>3 [[1,3,5,6,8],[2],[4],[7]]=>3 [[1,2,5,6,8],[3],[4],[7]]=>3 [[1,3,4,6,8],[2],[5],[7]]=>3 [[1,2,4,6,8],[3],[5],[7]]=>3 [[1,2,3,6,8],[4],[5],[7]]=>3 [[1,3,4,5,8],[2],[6],[7]]=>3 [[1,2,4,5,8],[3],[6],[7]]=>3 [[1,2,3,5,8],[4],[6],[7]]=>3 [[1,2,3,4,8],[5],[6],[7]]=>3 [[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]]=>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]]=>2 [[1,3,5,6],[2,4,7,8]]=>3 [[1,2,5,6],[3,4,7,8]]=>2 [[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]]=>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]]=>1 [[1,4,6,8],[2,5,7],[3]]=>4 [[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]]=>4 [[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]]=>2 [[1,2,4,8],[3,6,7],[5]]=>2 [[1,2,3,8],[4,6,7],[5]]=>2 [[1,3,5,8],[2,4,7],[6]]=>3 [[1,2,5,8],[3,4,7],[6]]=>2 [[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]]=>2 [[1,3,5,8],[2,4,6],[7]]=>4 [[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]]=>2 [[1,4,6,7],[2,5,8],[3]]=>4 [[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]]=>4 [[1,2,6,7],[3,4,8],[5]]=>3 [[1,4,5,7],[2,6,8],[3]]=>4 [[1,3,5,7],[2,6,8],[4]]=>4 [[1,2,5,7],[3,6,8],[4]]=>4 [[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]]=>4 [[1,2,5,7],[3,4,8],[6]]=>3 [[1,3,4,7],[2,5,8],[6]]=>4 [[1,2,4,7],[3,5,8],[6]]=>4 [[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]]=>2 [[1,2,4,5],[3,7,8],[6]]=>2 [[1,2,3,5],[4,7,8],[6]]=>2 [[1,2,3,4],[5,7,8],[6]]=>2 [[1,3,5,6],[2,4,8],[7]]=>3 [[1,2,5,6],[3,4,8],[7]]=>2 [[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]]=>2 [[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]]=>2 [[1,3,5,7],[2,4,6],[8]]=>4 [[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]]=>2 [[1,3,5,6],[2,4,7],[8]]=>4 [[1,2,5,6],[3,4,7],[8]]=>3 [[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]]=>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]]=>2 [[1,4,7,8],[2,5],[3,6]]=>4 [[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]]=>2 [[1,4,6,8],[2,5],[3,7]]=>4 [[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]]=>4 [[1,2,6,8],[3,4],[5,7]]=>3 [[1,4,5,8],[2,6],[3,7]]=>4 [[1,3,5,8],[2,6],[4,7]]=>4 [[1,2,5,8],[3,6],[4,7]]=>4 [[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]]=>2 [[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]]=>2 [[1,4,6,7],[2,5],[3,8]]=>4 [[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]]=>4 [[1,2,6,7],[3,4],[5,8]]=>3 [[1,4,5,7],[2,6],[3,8]]=>4 [[1,3,5,7],[2,6],[4,8]]=>4 [[1,2,5,7],[3,6],[4,8]]=>4 [[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]]=>4 [[1,2,5,7],[3,4],[6,8]]=>3 [[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]]=>3 [[1,4,5,6],[2,7],[3,8]]=>4 [[1,3,5,6],[2,7],[4,8]]=>4 [[1,2,5,6],[3,7],[4,8]]=>4 [[1,3,4,6],[2,7],[5,8]]=>4 [[1,2,4,6],[3,7],[5,8]]=>4 [[1,2,3,6],[4,7],[5,8]]=>4 [[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]]=>2 [[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]]=>2 [[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]]=>2 [[1,5,7,8],[2,6],[3],[4]]=>4 [[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]]=>4 [[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]]=>4 [[1,2,7,8],[3,4],[5],[6]]=>3 [[1,5,6,8],[2,7],[3],[4]]=>4 [[1,4,6,8],[2,7],[3],[5]]=>4 [[1,3,6,8],[2,7],[4],[5]]=>4 [[1,2,6,8],[3,7],[4],[5]]=>4 [[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]]=>4 [[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]]=>4 [[1,2,6,8],[3,4],[5],[7]]=>3 [[1,4,5,8],[2,6],[3],[7]]=>4 [[1,3,5,8],[2,6],[4],[7]]=>4 [[1,2,5,8],[3,6],[4],[7]]=>4 [[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]]=>4 [[1,2,5,8],[3,4],[6],[7]]=>3 [[1,3,4,8],[2,5],[6],[7]]=>4 [[1,2,4,8],[3,5],[6],[7]]=>4 [[1,2,3,8],[4,5],[6],[7]]=>3 [[1,5,6,7],[2,8],[3],[4]]=>4 [[1,4,6,7],[2,8],[3],[5]]=>4 [[1,3,6,7],[2,8],[4],[5]]=>4 [[1,2,6,7],[3,8],[4],[5]]=>4 [[1,4,5,7],[2,8],[3],[6]]=>4 [[1,3,5,7],[2,8],[4],[6]]=>4 [[1,2,5,7],[3,8],[4],[6]]=>4 [[1,3,4,7],[2,8],[5],[6]]=>4 [[1,2,4,7],[3,8],[5],[6]]=>4 [[1,2,3,7],[4,8],[5],[6]]=>4 [[1,4,5,6],[2,8],[3],[7]]=>3 [[1,3,5,6],[2,8],[4],[7]]=>3 [[1,2,5,6],[3,8],[4],[7]]=>3 [[1,3,4,6],[2,8],[5],[7]]=>3 [[1,2,4,6],[3,8],[5],[7]]=>3 [[1,2,3,6],[4,8],[5],[7]]=>3 [[1,3,4,5],[2,8],[6],[7]]=>3 [[1,2,4,5],[3,8],[6],[7]]=>3 [[1,2,3,5],[4,8],[6],[7]]=>3 [[1,2,3,4],[5,8],[6],[7]]=>3 [[1,4,6,7],[2,5],[3],[8]]=>4 [[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]]=>4 [[1,2,6,7],[3,4],[5],[8]]=>3 [[1,4,5,7],[2,6],[3],[8]]=>4 [[1,3,5,7],[2,6],[4],[8]]=>4 [[1,2,5,7],[3,6],[4],[8]]=>4 [[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]]=>4 [[1,2,5,7],[3,4],[6],[8]]=>3 [[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]]=>3 [[1,4,5,6],[2,7],[3],[8]]=>4 [[1,3,5,6],[2,7],[4],[8]]=>4 [[1,2,5,6],[3,7],[4],[8]]=>4 [[1,3,4,6],[2,7],[5],[8]]=>4 [[1,2,4,6],[3,7],[5],[8]]=>4 [[1,2,3,6],[4,7],[5],[8]]=>4 [[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]]=>4 [[1,2,5,6],[3,4],[7],[8]]=>3 [[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]]=>3 [[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]]=>3 [[1,6,7,8],[2],[3],[4],[5]]=>4 [[1,5,7,8],[2],[3],[4],[6]]=>4 [[1,4,7,8],[2],[3],[5],[6]]=>4 [[1,3,7,8],[2],[4],[5],[6]]=>4 [[1,2,7,8],[3],[4],[5],[6]]=>4 [[1,5,6,8],[2],[3],[4],[7]]=>4 [[1,4,6,8],[2],[3],[5],[7]]=>4 [[1,3,6,8],[2],[4],[5],[7]]=>4 [[1,2,6,8],[3],[4],[5],[7]]=>4 [[1,4,5,8],[2],[3],[6],[7]]=>4 [[1,3,5,8],[2],[4],[6],[7]]=>4 [[1,2,5,8],[3],[4],[6],[7]]=>4 [[1,3,4,8],[2],[5],[6],[7]]=>4 [[1,2,4,8],[3],[5],[6],[7]]=>4 [[1,2,3,8],[4],[5],[6],[7]]=>4 [[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]]=>5 [[1,3,7],[2,5,8],[4,6]]=>4 [[1,2,7],[3,5,8],[4,6]]=>4 [[1,3,7],[2,4,8],[5,6]]=>4 [[1,2,7],[3,4,8],[5,6]]=>3 [[1,4,6],[2,5,8],[3,7]]=>4 [[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]]=>4 [[1,2,6],[3,4,8],[5,7]]=>3 [[1,4,5],[2,6,8],[3,7]]=>4 [[1,3,5],[2,6,8],[4,7]]=>4 [[1,2,5],[3,6,8],[4,7]]=>4 [[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]]=>2 [[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]]=>2 [[1,4,6],[2,5,7],[3,8]]=>5 [[1,3,6],[2,5,7],[4,8]]=>4 [[1,2,6],[3,5,7],[4,8]]=>4 [[1,3,6],[2,4,7],[5,8]]=>5 [[1,2,6],[3,4,7],[5,8]]=>4 [[1,4,5],[2,6,7],[3,8]]=>4 [[1,3,5],[2,6,7],[4,8]]=>4 [[1,2,5],[3,6,7],[4,8]]=>4 [[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]]=>4 [[1,2,5],[3,4,7],[6,8]]=>3 [[1,3,4],[2,5,7],[6,8]]=>4 [[1,2,4],[3,5,7],[6,8]]=>4 [[1,2,3],[4,5,7],[6,8]]=>3 [[1,3,5],[2,4,6],[7,8]]=>4 [[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]]=>2 [[1,5,7],[2,6,8],[3],[4]]=>5 [[1,4,7],[2,6,8],[3],[5]]=>4 [[1,3,7],[2,6,8],[4],[5]]=>4 [[1,2,7],[3,6,8],[4],[5]]=>4 [[1,4,7],[2,5,8],[3],[6]]=>5 [[1,3,7],[2,5,8],[4],[6]]=>4 [[1,2,7],[3,5,8],[4],[6]]=>4 [[1,3,7],[2,4,8],[5],[6]]=>5 [[1,2,7],[3,4,8],[5],[6]]=>4 [[1,5,6],[2,7,8],[3],[4]]=>4 [[1,4,6],[2,7,8],[3],[5]]=>4 [[1,3,6],[2,7,8],[4],[5]]=>4 [[1,2,6],[3,7,8],[4],[5]]=>4 [[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]]=>4 [[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]]=>4 [[1,2,6],[3,4,8],[5],[7]]=>3 [[1,4,5],[2,6,8],[3],[7]]=>4 [[1,3,5],[2,6,8],[4],[7]]=>4 [[1,2,5],[3,6,8],[4],[7]]=>4 [[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]]=>4 [[1,2,5],[3,4,8],[6],[7]]=>3 [[1,3,4],[2,5,8],[6],[7]]=>4 [[1,2,4],[3,5,8],[6],[7]]=>4 [[1,2,3],[4,5,8],[6],[7]]=>3 [[1,4,6],[2,5,7],[3],[8]]=>5 [[1,3,6],[2,5,7],[4],[8]]=>4 [[1,2,6],[3,5,7],[4],[8]]=>4 [[1,3,6],[2,4,7],[5],[8]]=>5 [[1,2,6],[3,4,7],[5],[8]]=>4 [[1,4,5],[2,6,7],[3],[8]]=>4 [[1,3,5],[2,6,7],[4],[8]]=>4 [[1,2,5],[3,6,7],[4],[8]]=>4 [[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]]=>4 [[1,2,5],[3,4,7],[6],[8]]=>3 [[1,3,4],[2,5,7],[6],[8]]=>4 [[1,2,4],[3,5,7],[6],[8]]=>4 [[1,2,3],[4,5,7],[6],[8]]=>3 [[1,3,5],[2,4,6],[7],[8]]=>5 [[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]]=>3 [[1,5,8],[2,6],[3,7],[4]]=>5 [[1,4,8],[2,6],[3,7],[5]]=>4 [[1,3,8],[2,6],[4,7],[5]]=>4 [[1,2,8],[3,6],[4,7],[5]]=>4 [[1,4,8],[2,5],[3,7],[6]]=>4 [[1,3,8],[2,5],[4,7],[6]]=>3 [[1,2,8],[3,5],[4,7],[6]]=>3 [[1,3,8],[2,4],[5,7],[6]]=>4 [[1,2,8],[3,4],[5,7],[6]]=>3 [[1,4,8],[2,5],[3,6],[7]]=>5 [[1,3,8],[2,5],[4,6],[7]]=>4 [[1,2,8],[3,5],[4,6],[7]]=>4 [[1,3,8],[2,4],[5,6],[7]]=>4 [[1,2,8],[3,4],[5,6],[7]]=>3 [[1,5,7],[2,6],[3,8],[4]]=>5 [[1,4,7],[2,6],[3,8],[5]]=>4 [[1,3,7],[2,6],[4,8],[5]]=>4 [[1,2,7],[3,6],[4,8],[5]]=>4 [[1,4,7],[2,5],[3,8],[6]]=>5 [[1,3,7],[2,5],[4,8],[6]]=>4 [[1,2,7],[3,5],[4,8],[6]]=>4 [[1,3,7],[2,4],[5,8],[6]]=>5 [[1,2,7],[3,4],[5,8],[6]]=>4 [[1,5,6],[2,7],[3,8],[4]]=>5 [[1,4,6],[2,7],[3,8],[5]]=>5 [[1,3,6],[2,7],[4,8],[5]]=>5 [[1,2,6],[3,7],[4,8],[5]]=>5 [[1,4,5],[2,7],[3,8],[6]]=>4 [[1,3,5],[2,7],[4,8],[6]]=>4 [[1,2,5],[3,7],[4,8],[6]]=>4 [[1,3,4],[2,7],[5,8],[6]]=>4 [[1,2,4],[3,7],[5,8],[6]]=>4 [[1,2,3],[4,7],[5,8],[6]]=>4 [[1,4,6],[2,5],[3,8],[7]]=>4 [[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]]=>4 [[1,2,6],[3,4],[5,8],[7]]=>3 [[1,4,5],[2,6],[3,8],[7]]=>4 [[1,3,5],[2,6],[4,8],[7]]=>4 [[1,2,5],[3,6],[4,8],[7]]=>4 [[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]]=>4 [[1,2,5],[3,4],[6,8],[7]]=>3 [[1,3,4],[2,5],[6,8],[7]]=>4 [[1,2,4],[3,5],[6,8],[7]]=>4 [[1,2,3],[4,5],[6,8],[7]]=>3 [[1,4,7],[2,5],[3,6],[8]]=>5 [[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]]=>3 [[1,4,6],[2,5],[3,7],[8]]=>5 [[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]]=>5 [[1,2,6],[3,4],[5,7],[8]]=>4 [[1,4,5],[2,6],[3,7],[8]]=>5 [[1,3,5],[2,6],[4,7],[8]]=>5 [[1,2,5],[3,6],[4,7],[8]]=>5 [[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]]=>3 [[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]]=>3 [[1,6,8],[2,7],[3],[4],[5]]=>5 [[1,5,8],[2,7],[3],[4],[6]]=>4 [[1,4,8],[2,7],[3],[5],[6]]=>4 [[1,3,8],[2,7],[4],[5],[6]]=>4 [[1,2,8],[3,7],[4],[5],[6]]=>4 [[1,5,8],[2,6],[3],[4],[7]]=>5 [[1,4,8],[2,6],[3],[5],[7]]=>4 [[1,3,8],[2,6],[4],[5],[7]]=>4 [[1,2,8],[3,6],[4],[5],[7]]=>4 [[1,4,8],[2,5],[3],[6],[7]]=>5 [[1,3,8],[2,5],[4],[6],[7]]=>4 [[1,2,8],[3,5],[4],[6],[7]]=>4 [[1,3,8],[2,4],[5],[6],[7]]=>5 [[1,2,8],[3,4],[5],[6],[7]]=>4 [[1,6,7],[2,8],[3],[4],[5]]=>5 [[1,5,7],[2,8],[3],[4],[6]]=>5 [[1,4,7],[2,8],[3],[5],[6]]=>5 [[1,3,7],[2,8],[4],[5],[6]]=>5 [[1,2,7],[3,8],[4],[5],[6]]=>5 [[1,5,6],[2,8],[3],[4],[7]]=>4 [[1,4,6],[2,8],[3],[5],[7]]=>4 [[1,3,6],[2,8],[4],[5],[7]]=>4 [[1,2,6],[3,8],[4],[5],[7]]=>4 [[1,4,5],[2,8],[3],[6],[7]]=>4 [[1,3,5],[2,8],[4],[6],[7]]=>4 [[1,2,5],[3,8],[4],[6],[7]]=>4 [[1,3,4],[2,8],[5],[6],[7]]=>4 [[1,2,4],[3,8],[5],[6],[7]]=>4 [[1,2,3],[4,8],[5],[6],[7]]=>4 [[1,5,7],[2,6],[3],[4],[8]]=>5 [[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]]=>5 [[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]]=>5 [[1,2,7],[3,4],[5],[6],[8]]=>4 [[1,5,6],[2,7],[3],[4],[8]]=>5 [[1,4,6],[2,7],[3],[5],[8]]=>5 [[1,3,6],[2,7],[4],[5],[8]]=>5 [[1,2,6],[3,7],[4],[5],[8]]=>5 [[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]]=>5 [[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]]=>5 [[1,2,6],[3,4],[5],[7],[8]]=>4 [[1,4,5],[2,6],[3],[7],[8]]=>5 [[1,3,5],[2,6],[4],[7],[8]]=>5 [[1,2,5],[3,6],[4],[7],[8]]=>5 [[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]]=>5 [[1,2,5],[3,4],[6],[7],[8]]=>4 [[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]]=>4 [[1,7,8],[2],[3],[4],[5],[6]]=>5 [[1,6,8],[2],[3],[4],[5],[7]]=>5 [[1,5,8],[2],[3],[4],[6],[7]]=>5 [[1,4,8],[2],[3],[5],[6],[7]]=>5 [[1,3,8],[2],[4],[5],[6],[7]]=>5 [[1,2,8],[3],[4],[5],[6],[7]]=>5 [[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]]=>6 [[1,4],[2,6],[3,7],[5,8]]=>5 [[1,3],[2,6],[4,7],[5,8]]=>5 [[1,2],[3,6],[4,7],[5,8]]=>5 [[1,4],[2,5],[3,7],[6,8]]=>5 [[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]]=>5 [[1,2],[3,4],[5,7],[6,8]]=>4 [[1,4],[2,5],[3,6],[7,8]]=>5 [[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]]=>3 [[1,6],[2,7],[3,8],[4],[5]]=>6 [[1,5],[2,7],[3,8],[4],[6]]=>5 [[1,4],[2,7],[3,8],[5],[6]]=>5 [[1,3],[2,7],[4,8],[5],[6]]=>5 [[1,2],[3,7],[4,8],[5],[6]]=>5 [[1,5],[2,6],[3,8],[4],[7]]=>5 [[1,4],[2,6],[3,8],[5],[7]]=>4 [[1,3],[2,6],[4,8],[5],[7]]=>4 [[1,2],[3,6],[4,8],[5],[7]]=>4 [[1,4],[2,5],[3,8],[6],[7]]=>5 [[1,3],[2,5],[4,8],[6],[7]]=>4 [[1,2],[3,5],[4,8],[6],[7]]=>4 [[1,3],[2,4],[5,8],[6],[7]]=>5 [[1,2],[3,4],[5,8],[6],[7]]=>4 [[1,5],[2,6],[3,7],[4],[8]]=>6 [[1,4],[2,6],[3,7],[5],[8]]=>5 [[1,3],[2,6],[4,7],[5],[8]]=>5 [[1,2],[3,6],[4,7],[5],[8]]=>5 [[1,4],[2,5],[3,7],[6],[8]]=>5 [[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]]=>5 [[1,2],[3,4],[5,7],[6],[8]]=>4 [[1,4],[2,5],[3,6],[7],[8]]=>6 [[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]]=>4 [[1,7],[2,8],[3],[4],[5],[6]]=>6 [[1,6],[2,8],[3],[4],[5],[7]]=>5 [[1,5],[2,8],[3],[4],[6],[7]]=>5 [[1,4],[2,8],[3],[5],[6],[7]]=>5 [[1,3],[2,8],[4],[5],[6],[7]]=>5 [[1,2],[3,8],[4],[5],[6],[7]]=>5 [[1,6],[2,7],[3],[4],[5],[8]]=>6 [[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]]=>6 [[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]]=>6 [[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]]=>6 [[1,2],[3,4],[5],[6],[7],[8]]=>5 [[1,8],[2],[3],[4],[5],[6],[7]]=>6 [[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]]=>0 [[1,2,3,4,5,6,7,8],[9]]=>1 [[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]]=>1 [[1,2,3,4,5,6],[7,8],[9]]=>2 [[1,2,3,4,5,6],[7],[8],[9]]=>3 [[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 [[1,2,3,4,5],[6,7],[8],[9]]=>3 [[1,2,3,4,5],[6],[7],[8],[9]]=>4 [[1,2,3,4],[5,6,7,8],[9]]=>2 [[1,2,3,4],[5,6,7],[8,9]]=>2 [[1,2,3,4],[5,6,7],[8],[9]]=>3 [[1,2,3,4],[5,6],[7,8],[9]]=>3 [[1,2,3,4],[5,6],[7],[8],[9]]=>4 [[1,2,3,4],[5],[6],[7],[8],[9]]=>5 [[1,2,3],[4,5,6],[7,8,9]]=>2 [[1,2,3],[4,5,6],[7,8],[9]]=>3 [[1,2,3],[4,5,6],[7],[8],[9]]=>4 [[1,2,3],[4,5],[6,7],[8,9]]=>3 [[1,2,3],[4,5],[6,7],[8],[9]]=>4 [[1,2,3],[4,5],[6],[7],[8],[9]]=>5 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>6 [[1,2],[3,4],[5,6],[7,8],[9]]=>4 [[1,2],[3,4],[5,6],[7],[8],[9]]=>5 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>6 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>7 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>8 [[1,3,4,5,6,7,8,9],[2]]=>1 [[1,2,5,6,7,8,9],[3,4]]=>1 [[1,4,5,6,7,8,9],[2],[3]]=>2 [[1,2,3,7,8,9],[4,5,6]]=>1 [[1,3,6,7,8,9],[2,5],[4]]=>2 [[1,5,6,7,8,9],[2],[3],[4]]=>3 [[1,2,3,4,9],[5,6,7,8]]=>1 [[1,3,4,8,9],[2,6,7],[5]]=>2 [[1,2,7,8,9],[3,4],[5,6]]=>2 [[1,4,7,8,9],[2,6],[3],[5]]=>3 [[1,6,7,8,9],[2],[3],[4],[5]]=>4 [[1,3,4,5],[2,7,8,9],[6]]=>2 [[1,2,5,9],[3,4,8],[6,7]]=>2 [[1,4,5,9],[2,7,8],[3],[6]]=>3 [[1,3,8,9],[2,5],[4,7],[6]]=>3 [[1,5,8,9],[2,7],[3],[4],[6]]=>4 [[1,7,8,9],[2],[3],[4],[5],[6]]=>5 [[1,3,6],[2,5,9],[4,8],[7]]=>3 [[1,5,6],[2,8,9],[3],[4],[7]]=>4 [[1,2,9],[3,4],[5,6],[7,8]]=>3 [[1,4,9],[2,6],[3,8],[5],[7]]=>4 [[1,6,9],[2,8],[3],[4],[5],[7]]=>5 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>6 [[1,3],[2,5],[4,7],[6,9],[8]]=>4 [[1,5],[2,7],[3,9],[4],[6],[8]]=>5 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>6 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>7 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>7 [[1,7],[2,8],[3,9],[4],[5],[6]]=>7 [[1,7,9],[2,8],[3],[4],[5],[6]]=>6 [[1,6],[2,7],[3,8],[4,9],[5]]=>7 [[1,6,9],[2,7],[3,8],[4],[5]]=>6 [[1,6,8],[2,7,9],[3],[4],[5]]=>6 [[1,6,8,9],[2,7],[3],[4],[5]]=>5 [[1,5,9],[2,6],[3,7],[4,8]]=>6 [[1,5,8],[2,6,9],[3,7],[4]]=>6 [[1,5,8,9],[2,6],[3,7],[4]]=>5 [[1,5,7,9],[2,6,8],[3],[4]]=>5 [[1,5,7,8,9],[2,6],[3],[4]]=>4 [[1,4,7],[2,5,8],[3,6,9]]=>6 [[1,4,7,9],[2,5,8],[3,6]]=>5 [[1,4,7,8,9],[2,5],[3,6]]=>4 [[1,4,6,8],[2,5,7,9],[3]]=>5 [[1,4,6,8,9],[2,5,7],[3]]=>4 [[1,4,6,7,8,9],[2,5],[3]]=>3 [[1,3,5,7,9],[2,4,6,8]]=>4 [[1,3,5,7,8,9],[2,4,6]]=>3 [[1,3,5,6,7,8,9],[2,4]]=>2 [[1,3],[2,4],[5],[6],[7],[8],[9]]=>7 [[1,4],[2,5],[3,6],[7],[8],[9]]=>7 [[1,2,4],[3,5],[6],[7],[8],[9]]=>6 [[1,5],[2,6],[3,7],[4,8],[9]]=>7 [[1,2,5],[3,6],[4,7],[8],[9]]=>6 [[1,3,5],[2,4,6],[7],[8],[9]]=>6 [[1,2,3,5],[4,6],[7],[8],[9]]=>5 [[1,2,6],[3,7],[4,8],[5,9]]=>6 [[1,3,6],[2,4,7],[5,8],[9]]=>6 [[1,2,3,6],[4,7],[5,8],[9]]=>5 [[1,2,4,6],[3,5,7],[8],[9]]=>5 [[1,2,3,4,6],[5,7],[8],[9]]=>4 [[1,2,4,7],[3,5,8],[6,9]]=>5 [[1,2,3,4,7],[5,8],[6,9]]=>4 [[1,3,5,7],[2,4,6,8],[9]]=>5 [[1,2,3,5,7],[4,6,8],[9]]=>4 [[1,2,3,4,5,7],[6,8],[9]]=>3 [[1,2,4,6,8],[3,5,7,9]]=>4 [[1,2,3,4,6,8],[5,7,9]]=>3 [[1,2,3,4,5,6,8],[7,9]]=>2 [[1,2,3,4,9],[5,6],[7,8]]=>2 [[1,2,9],[3],[4],[5],[6],[7],[8]]=>6 [[1,2,4,5,6,7,8,9],[3]]=>1 [[1,2,5,6,7,8,9],[3],[4]]=>2 [[1,2,6,7,8,9],[3],[4],[5]]=>3 [[1,2,7,8,9],[3],[4],[5],[6]]=>4 [[1,2,8,9],[3],[4],[5],[6],[7]]=>5 [[1,2,3,4,7,8,9],[5,6]]=>1 [[1,2,4,5,8,9],[3,7],[6]]=>2 [[1,2,4,5,6,7],[3,9],[8]]=>2 [[1,2,5,6,9],[3,8],[4],[7]]=>3 [[1,2,3,4,7,8],[5,6],[9]]=>2 [[1,2,5,6,7,8],[3],[4],[9]]=>3 [[1,2,4,5],[3,7],[6,9],[8]]=>3 [[1,2,6,7],[3,9],[4],[5],[8]]=>4 [[1,2,5,6],[3,8],[4],[7],[9]]=>4 [[1,2,7,8],[3],[4],[5],[6],[9]]=>5 [[1,3,5,7,9],[2,4,6,8,10]]=>5 [[1,3,5,7,8],[2,4,6,9,10]]=>4 [[1,3,5,6,9],[2,4,7,8,10]]=>4 [[1,3,5,6,8],[2,4,7,9,10]]=>4 [[1,3,5,6,7],[2,4,8,9,10]]=>3 [[1,3,4,7,9],[2,5,6,8,10]]=>4 [[1,3,4,7,8],[2,5,6,9,10]]=>3 [[1,3,4,6,9],[2,5,7,8,10]]=>4 [[1,3,4,6,8],[2,5,7,9,10]]=>4 [[1,3,4,6,7],[2,5,8,9,10]]=>3 [[1,3,4,5,9],[2,6,7,8,10]]=>3 [[1,3,4,5,8],[2,6,7,9,10]]=>3 [[1,3,4,5,7],[2,6,8,9,10]]=>3 [[1,3,4,5,6],[2,7,8,9,10]]=>2 [[1,2,5,7,9],[3,4,6,8,10]]=>4 [[1,2,5,7,8],[3,4,6,9,10]]=>3 [[1,2,5,6,9],[3,4,7,8,10]]=>3 [[1,2,5,6,8],[3,4,7,9,10]]=>3 [[1,2,5,6,7],[3,4,8,9,10]]=>2 [[1,2,4,7,9],[3,5,6,8,10]]=>4 [[1,2,4,7,8],[3,5,6,9,10]]=>3 [[1,2,4,6,9],[3,5,7,8,10]]=>4 [[1,2,4,6,8],[3,5,7,9,10]]=>4 [[1,2,4,6,7],[3,5,8,9,10]]=>3 [[1,2,4,5,9],[3,6,7,8,10]]=>3 [[1,2,4,5,8],[3,6,7,9,10]]=>3 [[1,2,4,5,7],[3,6,8,9,10]]=>3 [[1,2,4,5,6],[3,7,8,9,10]]=>2 [[1,2,3,7,9],[4,5,6,8,10]]=>3 [[1,2,3,7,8],[4,5,6,9,10]]=>2 [[1,2,3,6,9],[4,5,7,8,10]]=>3 [[1,2,3,6,8],[4,5,7,9,10]]=>3 [[1,2,3,6,7],[4,5,8,9,10]]=>2 [[1,2,3,5,9],[4,6,7,8,10]]=>3 [[1,2,3,5,8],[4,6,7,9,10]]=>3 [[1,2,3,5,7],[4,6,8,9,10]]=>3 [[1,2,3,5,6],[4,7,8,9,10]]=>2 [[1,2,3,4,9],[5,6,7,8,10]]=>2 [[1,2,3,4,8],[5,6,7,9,10]]=>2 [[1,2,3,4,7],[5,6,8,9,10]]=>2 [[1,2,3,4,6],[5,7,8,9,10]]=>2 [[1,2,3,4,5],[6,7,8,9,10]]=>1 [[1,2,3,4,5,6,7,8,9,10]]=>0 [[1,2,3,4,5,6,7,8,9],[10]]=>1 [[1,2,3,4,5,6,7,8],[9,10]]=>1 [[1,2,3,4,5,6,7,8],[9],[10]]=>2 [[1,2,3,4,5,6,7],[8,9,10]]=>1 [[1,2,3,4,5,6,7],[8,9],[10]]=>2 [[1,2,3,4,5,6,7],[8],[9],[10]]=>3 [[1,2,3,4,5,6],[7,8,9,10]]=>1 [[1,2,3,4,5,6],[7,8,9],[10]]=>2 [[1,2,3,4,5,6],[7,8],[9,10]]=>2 [[1,2,3,4,5,6],[7,8],[9],[10]]=>3 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>4 [[1,2,3,4,5],[6,7,8,9],[10]]=>2 [[1,2,3,4,5],[6,7,8],[9,10]]=>2 [[1,2,3,4,5],[6,7,8],[9],[10]]=>3 [[1,2,3,4,5],[6,7],[8,9],[10]]=>3 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>4 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>5 [[1,2,3,4],[5,6,7,8],[9,10]]=>2 [[1,2,3,4],[5,6,7,8],[9],[10]]=>3 [[1,2,3,4],[5,6,7],[8,9,10]]=>2 [[1,2,3,4],[5,6,7],[8,9],[10]]=>3 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>4 [[1,2,3,4],[5,6],[7,8],[9,10]]=>3 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>4 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>5 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>6 [[1,2,3],[4,5,6],[7,8,9],[10]]=>3 [[1,2,3],[4,5,6],[7,8],[9,10]]=>3 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>4 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>5 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>4 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>5 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>6 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>7 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>4 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>5 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>6 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>7 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>8 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>9 [[1,3,4,5,6,7,8,9,10],[2]]=>1 [[1,2,5,6,7,8,9,10],[3,4]]=>1 [[1,4,5,6,7,8,9,10],[2],[3]]=>2 [[1,2,3,7,8,9,10],[4,5,6]]=>1 [[1,3,6,7,8,9,10],[2,5],[4]]=>2 [[1,5,6,7,8,9,10],[2],[3],[4]]=>3 [[1,2,3,4,9,10],[5,6,7,8]]=>1 [[1,3,4,8,9,10],[2,6,7],[5]]=>2 [[1,2,7,8,9,10],[3,4],[5,6]]=>2 [[1,4,7,8,9,10],[2,6],[3],[5]]=>3 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>4 [[1,3,4,5,10],[2,7,8,9],[6]]=>2 [[1,2,5,9,10],[3,4,8],[6,7]]=>2 [[1,4,5,9,10],[2,7,8],[3],[6]]=>3 [[1,3,8,9,10],[2,5],[4,7],[6]]=>3 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>4 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [[1,2,5,6],[3,4,9,10],[7,8]]=>2 [[1,4,5,6],[2,8,9,10],[3],[7]]=>3 [[1,2,3,10],[4,5,6],[7,8,9]]=>2 [[1,3,6,10],[2,5,9],[4,8],[7]]=>3 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>4 [[1,2,9,10],[3,4],[5,6],[7,8]]=>3 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>4 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>5 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>6 [[1,3,4],[2,6,7],[5,9,10],[8]]=>3 [[1,2,7],[3,4,10],[5,6],[8,9]]=>3 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>4 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>5 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>4 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>5 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>6 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>7 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>5 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>6 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>7 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>8 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>8 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>8 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>7 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>8 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>7 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>7 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>6 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>8 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>7 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>7 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>6 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>6 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>5 [[1,5,9],[2,6,10],[3,7],[4,8]]=>7 [[1,5,9,10],[2,6],[3,7],[4,8]]=>6 [[1,5,8],[2,6,9],[3,7,10],[4]]=>7 [[1,5,8,10],[2,6,9],[3,7],[4]]=>6 [[1,5,8,9,10],[2,6],[3,7],[4]]=>5 [[1,5,7,9],[2,6,8,10],[3],[4]]=>6 [[1,5,7,9,10],[2,6,8],[3],[4]]=>5 [[1,5,7,8,9,10],[2,6],[3],[4]]=>4 [[1,4,7,10],[2,5,8],[3,6,9]]=>6 [[1,4,7,9],[2,5,8,10],[3,6]]=>6 [[1,4,7,9,10],[2,5,8],[3,6]]=>5 [[1,4,7,8,9,10],[2,5],[3,6]]=>4 [[1,4,6,8,10],[2,5,7,9],[3]]=>5 [[1,4,6,8,9,10],[2,5,7],[3]]=>4 [[1,4,6,7,8,9,10],[2,5],[3]]=>3 [[1,3,5,7,9,10],[2,4,6,8]]=>4 [[1,3,5,7,8,9,10],[2,4,6]]=>3 [[1,3,5,6,7,8,9,10],[2,4]]=>2 [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>8 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>8 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>7 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>8 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>7 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>7 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>6 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>7 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>7 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>6 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>6 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>5 [[1,3,7],[2,4,8],[5,9],[6,10]]=>7 [[1,2,3,7],[4,8],[5,9],[6,10]]=>6 [[1,4,7],[2,5,8],[3,6,9],[10]]=>7 [[1,2,4,7],[3,5,8],[6,9],[10]]=>6 [[1,2,3,4,7],[5,8],[6,9],[10]]=>5 [[1,3,5,7],[2,4,6,8],[9],[10]]=>6 [[1,2,3,5,7],[4,6,8],[9],[10]]=>5 [[1,2,3,4,5,7],[6,8],[9],[10]]=>4 [[1,2,5,8],[3,6,9],[4,7,10]]=>6 [[1,3,5,8],[2,4,6,9],[7,10]]=>6 [[1,2,3,5,8],[4,6,9],[7,10]]=>5 [[1,2,3,4,5,8],[6,9],[7,10]]=>4 [[1,2,4,6,8],[3,5,7,9],[10]]=>5 [[1,2,3,4,6,8],[5,7,9],[10]]=>4 [[1,2,3,4,5,6,8],[7,9],[10]]=>3 [[1,2,3,5,7,9],[4,6,8,10]]=>4 [[1,2,3,4,5,7,9],[6,8,10]]=>3 [[1,2,3,4,5,6,7,9],[8,10]]=>2 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>5 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>5 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>5 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>6 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>5 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>6 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>5 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>5 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>6 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>6 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>6 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>6 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>7 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>5 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>6 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>6 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>6 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>7 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>5 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>6 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>5 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>5 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>6 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>6 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>6 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>6 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>7 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>6 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>7 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>6 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>6 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>7 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>6 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>6 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>6 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>7 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>7 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>7 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>7 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>7 [[1,2,3,4,5,6,7,8,10],[9]]=>1 [[1,2,3,4,5,6,10],[7,8,9]]=>1 [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>7 [[1,2,4,5,6,7,8,9,10],[3]]=>1 [[1,2,4,6,8,10],[3,5,7,9]]=>4 [[1,2,4,6,8,9,10],[3,5,7]]=>3 [[1,2,4,6,7,8,10],[3,5,9]]=>3 [[1,2,4,6,7,9,10],[3,5,8]]=>3 [[1,2,4,6,7,8,9,10],[3,5]]=>2 [[1,2,4,5,6,8,10],[3,7,9]]=>3 [[1,2,4,5,6,9,10],[3,7,8]]=>2 [[1,2,4,5,7,8,10],[3,6,9]]=>3 [[1,2,4,5,7,9,10],[3,6,8]]=>3 [[1,2,4,5,7,8,9,10],[3,6]]=>2 [[1,2,4,5,6,7,8,10],[3,9]]=>2 [[1,2,4,5,6,7,9,10],[3,8]]=>2 [[1,2,4,5,6,8,9,10],[3,7]]=>2 [[1,2,3,4,6,8,10],[5,7,9]]=>3 [[1,2,3,4,6,9,10],[5,7,8]]=>2 [[1,2,3,4,7,8,10],[5,6,9]]=>2 [[1,2,3,4,7,9,10],[5,6,8]]=>2 [[1,2,3,4,7,8,9,10],[5,6]]=>1 [[1,2,3,5,6,8,10],[4,7,9]]=>3 [[1,2,3,5,6,9,10],[4,7,8]]=>2 [[1,2,3,5,7,8,10],[4,6,9]]=>3 [[1,2,3,5,7,9,10],[4,6,8]]=>3 [[1,2,3,5,7,8,9,10],[4,6]]=>2 [[1,2,3,5,6,7,8,10],[4,9]]=>2 [[1,2,3,5,6,7,9,10],[4,8]]=>2 [[1,2,3,5,6,8,9,10],[4,7]]=>2 [[1,2,3,5,6,7,8,9,10],[4]]=>1 [[1,2,3,4,5,6,8,10],[7,9]]=>2 [[1,2,3,4,5,6,9,10],[7,8]]=>1 [[1,2,3,4,5,7,8,10],[6,9]]=>2 [[1,2,3,4,5,7,9,10],[6,8]]=>2 [[1,2,3,4,5,8,9,10],[6,7]]=>1 [[1,2,3,4,6,7,8,10],[5,9]]=>2 [[1,2,3,4,6,7,9,10],[5,8]]=>2 [[1,2,3,4,6,8,9,10],[5,7]]=>2 [[1,2,3,4,6,7,8,9,10],[5]]=>1 [[1,2,3,4,5,6,7,9,10],[8]]=>1 [[1,2,3,4,5,6,8,9,10],[7]]=>1 [[1,2,3,4,5,7,8,9,10],[6]]=>1 [[1,2,5,6,7,8,9,10],[3],[4]]=>2 [[1,2,6,7,8,9,10],[3],[4],[5]]=>3 [[1,2,7,8,9,10],[3],[4],[5],[6]]=>4 [[1,2,8,9,10],[3],[4],[5],[6],[7]]=>5 [[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>6 [[1,2,4,5,8,9,10],[3,7],[6]]=>2 [[1,2,4,5,6,7],[3,9,10],[8]]=>2 [[1,2,3,4,9,10],[5,6],[7,8]]=>2 [[1,2,5,6,9,10],[3,8],[4],[7]]=>3 [[1,2,4,5,6,7,8,9],[3],[10]]=>2 [[1,2,3,4,7,8],[5,6],[9,10]]=>2 [[1,2,5,6,7,8],[3,10],[4],[9]]=>3 [[1,2,4,5,10],[3,7],[6,9],[8]]=>3 [[1,2,6,7,10],[3,9],[4],[5],[8]]=>4 [[1,2,4,5,8,9],[3,7],[6],[10]]=>3 [[1,2,6,7,8,9],[3],[4],[5],[10]]=>4 [[1,2,5,6],[3,8],[4,10],[7],[9]]=>4 [[1,2,7,8],[3,10],[4],[5],[6],[9]]=>5 [[1,2,4,5],[3,7],[6,9],[8],[10]]=>4 [[1,2,6,7],[3,9],[4],[5],[8],[10]]=>5 [[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>6 [[1,2,3,4,5],[6,7,8,9],[10,11]]=>2 [[1,2,3,4,5],[6,7,8,9],[10],[11]]=>3 [[1,2,3,4,5],[6,7,8],[9,10,11]]=>2 [[1,2,3,4,5],[6,7,8],[9,10],[11]]=>3 [[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>4 [[1,2,3,4,5],[6,7],[8,9],[10,11]]=>3 [[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>4 [[1,2,3,4],[5,6,7,8],[9,10,11]]=>2 [[1,2,3,4],[5,6,7,8],[9,10],[11]]=>3 [[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>4 [[1,2,3,4],[5,6,7],[8,9,10],[11]]=>3 [[1,2,3,4],[5,6,7],[8,9],[10,11]]=>3 [[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>4 [[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>4 [[1,2,3],[4,5,6],[7,8,9],[10,11]]=>3 [[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>4 [[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>4 [[1,2,5,6,11],[3,4,9,10],[7,8]]=>2 [[1,4,5,6,11],[2,8,9,10],[3],[7]]=>3 [[1,2,3,10,11],[4,5,6],[7,8,9]]=>2 [[1,3,6,10,11],[2,5,9],[4,8],[7]]=>3 [[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>4 [[1,2,9,10,11],[3,4],[5,6],[7,8]]=>3 [[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>4 [[1,2,3,7],[4,5,6,11],[8,9,10]]=>2 [[1,3,6,7],[2,5,10,11],[4,9],[8]]=>3 [[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>4 [[1,3,4,11],[2,6,7],[5,9,10],[8]]=>3 [[1,2,7,11],[3,4,10],[5,6],[8,9]]=>3 [[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>4 [[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>4 [[1,2,5],[3,4,8],[6,7,11],[9,10]]=>3 [[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>4 [[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>4 [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>6 [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>5 [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>5 [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>5 [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>4 [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>5 [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>4 [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>5 [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>5 [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>4 [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>4 [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>4 [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>4 [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>3 [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>5 [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>4 [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>4 [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>4 [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>3 [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>5 [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>4 [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>5 [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>5 [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>4 [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>4 [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>4 [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>4 [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>3 [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>4 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>3 [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>4 [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>4 [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>3 [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>4 [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>4 [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>4 [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>3 [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>3 [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>3 [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>3 [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>3 [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>2 [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>5 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>4 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>4 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>4 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>3 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>4 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>3 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>4 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>4 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>3 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>3 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>3 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>3 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>2 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>5 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>4 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>4 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>4 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>3 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>5 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>4 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>5 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>5 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>4 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>4 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>4 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>4 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>3 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>4 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>3 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>4 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>4 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>3 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>4 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>4 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>4 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>3 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>3 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>3 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>3 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>3 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>2 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>4 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>3 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>3 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>3 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>2 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>4 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>3 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>4 [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>4 [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>3 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>3 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>3 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>3 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>2 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>4 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>3 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>4 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>4 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>3 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>4 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>4 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>4 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>3 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>3 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>3 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>3 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>3 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>2 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>3 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>2 [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>3 [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>3 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>2 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>3 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>3 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>3 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>2 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>3 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>3 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>3 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>3 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>2 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>2 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>2 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>2 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>2 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>2 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>1 [[1,2,3,4,5,6,7,8,9,10,11,12]]=>0 [[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>2 [[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>2 [[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>3 [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>4 [[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>3 [[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>3 [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>4 [[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>4 [[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>3 [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>3 [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>4 [[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>3 [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>4 [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>4 [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>4 [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>5 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>5 [[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>2 [[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>2 [[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>3 [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>4 [[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>3 [[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>3 [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>4 [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>4 [[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>3 [[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>3 [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>4 [[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>3 [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>4 [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>4 [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>4 [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>5 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>6 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>6 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>6 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>7 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>6 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>7 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>6 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>6 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>7 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>7 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>7 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>7 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>8 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>6 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>7 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>7 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>7 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>8 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>6 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>7 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>6 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>6 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>7 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>7 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>7 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>7 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>8 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>7 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>8 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>7 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>7 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>8 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>7 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>7 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>7 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>8 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>8 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>8 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>8 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>8 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>9 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>6 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>7 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>7 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>7 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>8 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>7 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>8 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>7 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>7 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>8 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>8 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>8 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>8 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>9 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>6 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>7 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>7 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>7 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>8 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>6 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>7 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>6 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>6 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>7 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>7 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>7 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>7 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>8 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>7 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>8 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>7 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>7 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>8 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>7 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>7 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>7 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>8 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>8 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>8 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>8 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>8 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>9 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>7 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>8 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>8 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>8 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>9 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>7 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>8 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>7 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>7 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>8 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>8 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>8 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>8 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>9 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>7 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>8 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>7 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>7 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>8 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>7 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>7 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>7 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>8 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>8 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>8 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>8 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>8 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>9 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>8 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>9 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>8 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>8 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>9 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>8 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>8 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>8 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>9 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>8 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>8 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>8 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>8 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>9 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>9 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>9 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>9 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>9 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>9 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>10 [[1,2,4,6,8,10,12],[3,5,7,9,11]]=>5 [[1,2,4,6,8,10,11,12],[3,5,7,9]]=>4 [[1,2,4,6,8,9,10,12],[3,5,7,11]]=>4 [[1,2,4,6,8,9,11,12],[3,5,7,10]]=>4 [[1,2,4,6,8,9,10,11,12],[3,5,7]]=>3 [[1,2,4,6,7,8,10,12],[3,5,9,11]]=>4 [[1,2,4,6,7,8,11,12],[3,5,9,10]]=>3 [[1,2,4,6,7,9,10,12],[3,5,8,11]]=>4 [[1,2,4,6,7,9,11,12],[3,5,8,10]]=>4 [[1,2,4,6,7,9,10,11,12],[3,5,8]]=>3 [[1,2,4,6,7,8,9,10,12],[3,5,11]]=>3 [[1,2,4,6,7,8,9,11,12],[3,5,10]]=>3 [[1,2,4,6,7,8,10,11,12],[3,5,9]]=>3 [[1,2,4,6,7,8,9,10,11,12],[3,5]]=>2 [[1,2,4,5,6,8,10,12],[3,7,9,11]]=>4 [[1,2,4,5,6,8,11,12],[3,7,9,10]]=>3 [[1,2,4,5,6,9,10,12],[3,7,8,11]]=>3 [[1,2,4,5,6,9,11,12],[3,7,8,10]]=>3 [[1,2,4,5,6,9,10,11,12],[3,7,8]]=>2 [[1,2,4,5,7,8,10,12],[3,6,9,11]]=>4 [[1,2,4,5,7,8,11,12],[3,6,9,10]]=>3 [[1,2,4,5,7,9,10,12],[3,6,8,11]]=>4 [[1,2,4,5,7,9,11,12],[3,6,8,10]]=>4 [[1,2,4,5,7,9,10,11,12],[3,6,8]]=>3 [[1,2,4,5,7,8,9,10,12],[3,6,11]]=>3 [[1,2,4,5,7,8,9,11,12],[3,6,10]]=>3 [[1,2,4,5,7,8,10,11,12],[3,6,9]]=>3 [[1,2,4,5,7,8,9,10,11,12],[3,6]]=>2 [[1,2,4,5,6,7,8,10,12],[3,9,11]]=>3 [[1,2,4,5,6,7,8,11,12],[3,9,10]]=>2 [[1,2,4,5,6,7,9,10,12],[3,8,11]]=>3 [[1,2,4,5,6,7,9,11,12],[3,8,10]]=>3 [[1,2,4,5,6,7,10,11,12],[3,8,9]]=>2 [[1,2,4,5,6,8,9,10,12],[3,7,11]]=>3 [[1,2,4,5,6,8,9,11,12],[3,7,10]]=>3 [[1,2,4,5,6,8,10,11,12],[3,7,9]]=>3 [[1,2,4,5,6,8,9,10,11,12],[3,7]]=>2 [[1,2,4,5,6,7,8,9,10,12],[3,11]]=>2 [[1,2,4,5,6,7,8,9,11,12],[3,10]]=>2 [[1,2,4,5,6,7,8,10,11,12],[3,9]]=>2 [[1,2,4,5,6,7,9,10,11,12],[3,8]]=>2 [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>1 [[1,2,3,4,6,8,10,12],[5,7,9,11]]=>4 [[1,2,3,4,6,8,11,12],[5,7,9,10]]=>3 [[1,2,3,4,6,9,10,12],[5,7,8,11]]=>3 [[1,2,3,4,6,9,11,12],[5,7,8,10]]=>3 [[1,2,3,4,6,9,10,11,12],[5,7,8]]=>2 [[1,2,3,4,7,8,10,12],[5,6,9,11]]=>3 [[1,2,3,4,7,8,11,12],[5,6,9,10]]=>2 [[1,2,3,4,7,9,10,12],[5,6,8,11]]=>3 [[1,2,3,4,7,9,11,12],[5,6,8,10]]=>3 [[1,2,3,4,7,9,10,11,12],[5,6,8]]=>2 [[1,2,3,4,7,8,9,10,12],[5,6,11]]=>2 [[1,2,3,4,7,8,9,11,12],[5,6,10]]=>2 [[1,2,3,4,7,8,10,11,12],[5,6,9]]=>2 [[1,2,3,4,7,8,9,10,11,12],[5,6]]=>1 [[1,2,3,5,6,8,10,12],[4,7,9,11]]=>4 [[1,2,3,5,6,8,11,12],[4,7,9,10]]=>3 [[1,2,3,5,6,9,10,12],[4,7,8,11]]=>3 [[1,2,3,5,6,9,11,12],[4,7,8,10]]=>3 [[1,2,3,5,6,9,10,11,12],[4,7,8]]=>2 [[1,2,3,5,7,8,10,12],[4,6,9,11]]=>4 [[1,2,3,5,7,8,11,12],[4,6,9,10]]=>3 [[1,2,3,5,7,9,10,12],[4,6,8,11]]=>4 [[1,2,3,5,7,9,11,12],[4,6,8,10]]=>4 [[1,2,3,5,7,9,10,11,12],[4,6,8]]=>3 [[1,2,3,5,7,8,9,10,12],[4,6,11]]=>3 [[1,2,3,5,7,8,9,11,12],[4,6,10]]=>3 [[1,2,3,5,7,8,10,11,12],[4,6,9]]=>3 [[1,2,3,5,7,8,9,10,11,12],[4,6]]=>2 [[1,2,3,5,6,7,8,10,12],[4,9,11]]=>3 [[1,2,3,5,6,7,8,11,12],[4,9,10]]=>2 [[1,2,3,5,6,7,9,10,12],[4,8,11]]=>3 [[1,2,3,5,6,7,9,11,12],[4,8,10]]=>3 [[1,2,3,5,6,7,10,11,12],[4,8,9]]=>2 [[1,2,3,5,6,8,9,10,12],[4,7,11]]=>3 [[1,2,3,5,6,8,9,11,12],[4,7,10]]=>3 [[1,2,3,5,6,8,10,11,12],[4,7,9]]=>3 [[1,2,3,5,6,8,9,10,11,12],[4,7]]=>2 [[1,2,3,5,6,7,8,9,10,12],[4,11]]=>2 [[1,2,3,5,6,7,8,9,11,12],[4,10]]=>2 [[1,2,3,5,6,7,8,10,11,12],[4,9]]=>2 [[1,2,3,5,6,7,9,10,11,12],[4,8]]=>2 [[1,2,3,5,6,7,8,9,10,11,12],[4]]=>1 [[1,2,3,4,5,6,8,10,12],[7,9,11]]=>3 [[1,2,3,4,5,6,8,11,12],[7,9,10]]=>2 [[1,2,3,4,5,6,9,10,12],[7,8,11]]=>2 [[1,2,3,4,5,6,9,11,12],[7,8,10]]=>2 [[1,2,3,4,5,6,10,11,12],[7,8,9]]=>1 [[1,2,3,4,5,7,8,10,12],[6,9,11]]=>3 [[1,2,3,4,5,7,8,11,12],[6,9,10]]=>2 [[1,2,3,4,5,7,9,10,12],[6,8,11]]=>3 [[1,2,3,4,5,7,9,11,12],[6,8,10]]=>3 [[1,2,3,4,5,7,10,11,12],[6,8,9]]=>2 [[1,2,3,4,5,8,9,10,12],[6,7,11]]=>2 [[1,2,3,4,5,8,9,11,12],[6,7,10]]=>2 [[1,2,3,4,5,8,10,11,12],[6,7,9]]=>2 [[1,2,3,4,5,8,9,10,11,12],[6,7]]=>1 [[1,2,3,4,6,7,8,10,12],[5,9,11]]=>3 [[1,2,3,4,6,7,8,11,12],[5,9,10]]=>2 [[1,2,3,4,6,7,9,10,12],[5,8,11]]=>3 [[1,2,3,4,6,7,9,11,12],[5,8,10]]=>3 [[1,2,3,4,6,7,10,11,12],[5,8,9]]=>2 [[1,2,3,4,6,8,9,10,12],[5,7,11]]=>3 [[1,2,3,4,6,8,9,11,12],[5,7,10]]=>3 [[1,2,3,4,6,8,10,11,12],[5,7,9]]=>3 [[1,2,3,4,6,8,9,10,11,12],[5,7]]=>2 [[1,2,3,4,6,7,8,9,10,12],[5,11]]=>2 [[1,2,3,4,6,7,8,9,11,12],[5,10]]=>2 [[1,2,3,4,6,7,8,10,11,12],[5,9]]=>2 [[1,2,3,4,6,7,9,10,11,12],[5,8]]=>2 [[1,2,3,4,6,7,8,9,10,11,12],[5]]=>1 [[1,2,3,4,5,6,7,8,10,12],[9,11]]=>2 [[1,2,3,4,5,6,7,8,11,12],[9,10]]=>1 [[1,2,3,4,5,6,7,9,10,12],[8,11]]=>2 [[1,2,3,4,5,6,7,9,11,12],[8,10]]=>2 [[1,2,3,4,5,6,7,10,11,12],[8,9]]=>1 [[1,2,3,4,5,6,8,9,10,12],[7,11]]=>2 [[1,2,3,4,5,6,8,9,11,12],[7,10]]=>2 [[1,2,3,4,5,6,8,10,11,12],[7,9]]=>2 [[1,2,3,4,5,6,9,10,11,12],[7,8]]=>1 [[1,2,3,4,5,7,8,9,10,12],[6,11]]=>2 [[1,2,3,4,5,7,8,9,11,12],[6,10]]=>2 [[1,2,3,4,5,7,8,10,11,12],[6,9]]=>2 [[1,2,3,4,5,7,9,10,11,12],[6,8]]=>2 [[1,2,3,4,5,7,8,9,10,11,12],[6]]=>1 [[1,2,3,4,5,6,7,8,9,10,12],[11]]=>1 [[1,2,3,4,5,6,7,8,9,11,12],[10]]=>1 [[1,2,3,4,5,6,7,8,10,11,12],[9]]=>1 [[1,2,3,4,5,6,7,9,10,11,12],[8]]=>1 [[1,2,3,4,5,6,8,9,10,11,12],[7]]=>1 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>3 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>3 [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>4 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>3 [[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>4 [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>4 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>3 [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>4 [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>4 [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>4 [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>3 [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>3 [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>4 [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>3 [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>4 [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>4 [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>3 [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>4 [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>4 [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>4 [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>3 [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>4 [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>3 [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>3 [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>4 [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>4 [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>3 [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>3 [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>3 [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>3 [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>3 [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>2 [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>2 [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>3 [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>4 [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>3 [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>3 [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>4 [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>4 [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>3 [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>2 [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>3 [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>3 [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>3 [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>3 [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>2 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>3 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>4 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>4 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>4 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>4 [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>3 [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>4 [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>4 [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>4 [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>4 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>4 [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>4 [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>3 [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>4 [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>3 [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>3 [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>3 [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>3 [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>2 [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>3 [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>4 [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>3 [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>3 [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>3 [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>3 [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>2 [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>2 [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>2 [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>3 [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>3 [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>3 [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>3 [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>3 [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>3 [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>2 [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>2 [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>3 [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>3 [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>2 [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>2
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Description
The number of descents of a standard tableau.
Entry $i$ of a standard Young tableau is a descent if $i+1$ appears in a row below the row of $i$.
References
[1] Adin, R. M., Roichman, Y. Descent functions and random Young tableaux MathSciNet:1841639
[2] Hästö, P. A. On descents in standard Young tableaux MathSciNet:1798944
Code
def statistic(x):
# alternatively
#    return len(x.standard_descents())
    descents = []
    for i in [2..x.size()]:
        if x.cells_containing(i)[0][0] > x.cells_containing(i-1)[0][0]:
            descents.append(i-1)
    return len(descents)
Created
Jul 29, 2013 at 04:29 by Jessica Striker
Updated
Dec 19, 2017 at 18:29 by Martin Rubey