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Identifier
Values
=>
Cc0007;cc-rep
[[1]]=>0 [[1,2]]=>1 [[1],[2]]=>0 [[1,2,3]]=>3 [[1,3],[2]]=>1 [[1,2],[3]]=>1 [[1],[2],[3]]=>0 [[1,2,3,4]]=>6 [[1,3,4],[2]]=>3 [[1,2,4],[3]]=>3 [[1,2,3],[4]]=>3 [[1,3],[2,4]]=>3 [[1,2],[3,4]]=>3 [[1,4],[2],[3]]=>1 [[1,3],[2],[4]]=>1 [[1,2],[3],[4]]=>1 [[1],[2],[3],[4]]=>0 [[1,2,3,4,5]]=>10 [[1,3,4,5],[2]]=>6 [[1,2,4,5],[3]]=>6 [[1,2,3,5],[4]]=>6 [[1,2,3,4],[5]]=>6 [[1,3,5],[2,4]]=>5 [[1,2,5],[3,4]]=>5 [[1,3,4],[2,5]]=>5 [[1,2,4],[3,5]]=>5 [[1,2,3],[4,5]]=>5 [[1,4,5],[2],[3]]=>3 [[1,3,5],[2],[4]]=>3 [[1,2,5],[3],[4]]=>3 [[1,3,4],[2],[5]]=>3 [[1,2,4],[3],[5]]=>3 [[1,2,3],[4],[5]]=>3 [[1,4],[2,5],[3]]=>3 [[1,3],[2,5],[4]]=>3 [[1,2],[3,5],[4]]=>3 [[1,3],[2,4],[5]]=>3 [[1,2],[3,4],[5]]=>3 [[1,5],[2],[3],[4]]=>1 [[1,4],[2],[3],[5]]=>1 [[1,3],[2],[4],[5]]=>1 [[1,2],[3],[4],[5]]=>1 [[1],[2],[3],[4],[5]]=>0 [[1,2,3,4,5,6]]=>15 [[1,3,4,5,6],[2]]=>10 [[1,2,4,5,6],[3]]=>10 [[1,2,3,5,6],[4]]=>10 [[1,2,3,4,6],[5]]=>10 [[1,2,3,4,5],[6]]=>10 [[1,3,5,6],[2,4]]=>8 [[1,2,5,6],[3,4]]=>8 [[1,3,4,6],[2,5]]=>8 [[1,2,4,6],[3,5]]=>8 [[1,2,3,6],[4,5]]=>8 [[1,3,4,5],[2,6]]=>8 [[1,2,4,5],[3,6]]=>8 [[1,2,3,5],[4,6]]=>8 [[1,2,3,4],[5,6]]=>8 [[1,4,5,6],[2],[3]]=>6 [[1,3,5,6],[2],[4]]=>6 [[1,2,5,6],[3],[4]]=>6 [[1,3,4,6],[2],[5]]=>6 [[1,2,4,6],[3],[5]]=>6 [[1,2,3,6],[4],[5]]=>6 [[1,3,4,5],[2],[6]]=>6 [[1,2,4,5],[3],[6]]=>6 [[1,2,3,5],[4],[6]]=>6 [[1,2,3,4],[5],[6]]=>6 [[1,3,5],[2,4,6]]=>9 [[1,2,5],[3,4,6]]=>9 [[1,3,4],[2,5,6]]=>9 [[1,2,4],[3,5,6]]=>9 [[1,2,3],[4,5,6]]=>9 [[1,4,6],[2,5],[3]]=>5 [[1,3,6],[2,5],[4]]=>5 [[1,2,6],[3,5],[4]]=>5 [[1,3,6],[2,4],[5]]=>5 [[1,2,6],[3,4],[5]]=>5 [[1,4,5],[2,6],[3]]=>5 [[1,3,5],[2,6],[4]]=>5 [[1,2,5],[3,6],[4]]=>5 [[1,3,4],[2,6],[5]]=>5 [[1,2,4],[3,6],[5]]=>5 [[1,2,3],[4,6],[5]]=>5 [[1,3,5],[2,4],[6]]=>5 [[1,2,5],[3,4],[6]]=>5 [[1,3,4],[2,5],[6]]=>5 [[1,2,4],[3,5],[6]]=>5 [[1,2,3],[4,5],[6]]=>5 [[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]]=>5 [[1,3],[2,5],[4,6]]=>5 [[1,2],[3,5],[4,6]]=>5 [[1,3],[2,4],[5,6]]=>5 [[1,2],[3,4],[5,6]]=>5 [[1,5],[2,6],[3],[4]]=>3 [[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]]=>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]]=>1 [[1,4],[2],[3],[5],[6]]=>1 [[1,3],[2],[4],[5],[6]]=>1 [[1,2],[3],[4],[5],[6]]=>1 [[1],[2],[3],[4],[5],[6]]=>0 [[1,2,3,4,5,6,7]]=>21 [[1,3,4,5,6,7],[2]]=>15 [[1,2,4,5,6,7],[3]]=>15 [[1,2,3,5,6,7],[4]]=>15 [[1,2,3,4,6,7],[5]]=>15 [[1,2,3,4,5,7],[6]]=>15 [[1,2,3,4,5,6],[7]]=>15 [[1,3,5,6,7],[2,4]]=>12 [[1,2,5,6,7],[3,4]]=>12 [[1,3,4,6,7],[2,5]]=>12 [[1,2,4,6,7],[3,5]]=>12 [[1,2,3,6,7],[4,5]]=>12 [[1,3,4,5,7],[2,6]]=>12 [[1,2,4,5,7],[3,6]]=>12 [[1,2,3,5,7],[4,6]]=>12 [[1,2,3,4,7],[5,6]]=>12 [[1,3,4,5,6],[2,7]]=>12 [[1,2,4,5,6],[3,7]]=>12 [[1,2,3,5,6],[4,7]]=>12 [[1,2,3,4,6],[5,7]]=>12 [[1,2,3,4,5],[6,7]]=>12 [[1,4,5,6,7],[2],[3]]=>10 [[1,3,5,6,7],[2],[4]]=>10 [[1,2,5,6,7],[3],[4]]=>10 [[1,3,4,6,7],[2],[5]]=>10 [[1,2,4,6,7],[3],[5]]=>10 [[1,2,3,6,7],[4],[5]]=>10 [[1,3,4,5,7],[2],[6]]=>10 [[1,2,4,5,7],[3],[6]]=>10 [[1,2,3,5,7],[4],[6]]=>10 [[1,2,3,4,7],[5],[6]]=>10 [[1,3,4,5,6],[2],[7]]=>10 [[1,2,4,5,6],[3],[7]]=>10 [[1,2,3,5,6],[4],[7]]=>10 [[1,2,3,4,6],[5],[7]]=>10 [[1,2,3,4,5],[6],[7]]=>10 [[1,3,5,7],[2,4,6]]=>12 [[1,2,5,7],[3,4,6]]=>12 [[1,3,4,7],[2,5,6]]=>12 [[1,2,4,7],[3,5,6]]=>12 [[1,2,3,7],[4,5,6]]=>12 [[1,3,5,6],[2,4,7]]=>12 [[1,2,5,6],[3,4,7]]=>12 [[1,3,4,6],[2,5,7]]=>12 [[1,2,4,6],[3,5,7]]=>12 [[1,2,3,6],[4,5,7]]=>12 [[1,3,4,5],[2,6,7]]=>12 [[1,2,4,5],[3,6,7]]=>12 [[1,2,3,5],[4,6,7]]=>12 [[1,2,3,4],[5,6,7]]=>12 [[1,4,6,7],[2,5],[3]]=>8 [[1,3,6,7],[2,5],[4]]=>8 [[1,2,6,7],[3,5],[4]]=>8 [[1,3,6,7],[2,4],[5]]=>8 [[1,2,6,7],[3,4],[5]]=>8 [[1,4,5,7],[2,6],[3]]=>8 [[1,3,5,7],[2,6],[4]]=>8 [[1,2,5,7],[3,6],[4]]=>8 [[1,3,4,7],[2,6],[5]]=>8 [[1,2,4,7],[3,6],[5]]=>8 [[1,2,3,7],[4,6],[5]]=>8 [[1,3,5,7],[2,4],[6]]=>8 [[1,2,5,7],[3,4],[6]]=>8 [[1,3,4,7],[2,5],[6]]=>8 [[1,2,4,7],[3,5],[6]]=>8 [[1,2,3,7],[4,5],[6]]=>8 [[1,4,5,6],[2,7],[3]]=>8 [[1,3,5,6],[2,7],[4]]=>8 [[1,2,5,6],[3,7],[4]]=>8 [[1,3,4,6],[2,7],[5]]=>8 [[1,2,4,6],[3,7],[5]]=>8 [[1,2,3,6],[4,7],[5]]=>8 [[1,3,4,5],[2,7],[6]]=>8 [[1,2,4,5],[3,7],[6]]=>8 [[1,2,3,5],[4,7],[6]]=>8 [[1,2,3,4],[5,7],[6]]=>8 [[1,3,5,6],[2,4],[7]]=>8 [[1,2,5,6],[3,4],[7]]=>8 [[1,3,4,6],[2,5],[7]]=>8 [[1,2,4,6],[3,5],[7]]=>8 [[1,2,3,6],[4,5],[7]]=>8 [[1,3,4,5],[2,6],[7]]=>8 [[1,2,4,5],[3,6],[7]]=>8 [[1,2,3,5],[4,6],[7]]=>8 [[1,2,3,4],[5,6],[7]]=>8 [[1,5,6,7],[2],[3],[4]]=>6 [[1,4,6,7],[2],[3],[5]]=>6 [[1,3,6,7],[2],[4],[5]]=>6 [[1,2,6,7],[3],[4],[5]]=>6 [[1,4,5,7],[2],[3],[6]]=>6 [[1,3,5,7],[2],[4],[6]]=>6 [[1,2,5,7],[3],[4],[6]]=>6 [[1,3,4,7],[2],[5],[6]]=>6 [[1,2,4,7],[3],[5],[6]]=>6 [[1,2,3,7],[4],[5],[6]]=>6 [[1,4,5,6],[2],[3],[7]]=>6 [[1,3,5,6],[2],[4],[7]]=>6 [[1,2,5,6],[3],[4],[7]]=>6 [[1,3,4,6],[2],[5],[7]]=>6 [[1,2,4,6],[3],[5],[7]]=>6 [[1,2,3,6],[4],[5],[7]]=>6 [[1,3,4,5],[2],[6],[7]]=>6 [[1,2,4,5],[3],[6],[7]]=>6 [[1,2,3,5],[4],[6],[7]]=>6 [[1,2,3,4],[5],[6],[7]]=>6 [[1,4,6],[2,5,7],[3]]=>9 [[1,3,6],[2,5,7],[4]]=>9 [[1,2,6],[3,5,7],[4]]=>9 [[1,3,6],[2,4,7],[5]]=>9 [[1,2,6],[3,4,7],[5]]=>9 [[1,4,5],[2,6,7],[3]]=>9 [[1,3,5],[2,6,7],[4]]=>9 [[1,2,5],[3,6,7],[4]]=>9 [[1,3,4],[2,6,7],[5]]=>9 [[1,2,4],[3,6,7],[5]]=>9 [[1,2,3],[4,6,7],[5]]=>9 [[1,3,5],[2,4,7],[6]]=>9 [[1,2,5],[3,4,7],[6]]=>9 [[1,3,4],[2,5,7],[6]]=>9 [[1,2,4],[3,5,7],[6]]=>9 [[1,2,3],[4,5,7],[6]]=>9 [[1,3,5],[2,4,6],[7]]=>9 [[1,2,5],[3,4,6],[7]]=>9 [[1,3,4],[2,5,6],[7]]=>9 [[1,2,4],[3,5,6],[7]]=>9 [[1,2,3],[4,5,6],[7]]=>9 [[1,4,7],[2,5],[3,6]]=>7 [[1,3,7],[2,5],[4,6]]=>7 [[1,2,7],[3,5],[4,6]]=>7 [[1,3,7],[2,4],[5,6]]=>7 [[1,2,7],[3,4],[5,6]]=>7 [[1,4,6],[2,5],[3,7]]=>7 [[1,3,6],[2,5],[4,7]]=>7 [[1,2,6],[3,5],[4,7]]=>7 [[1,3,6],[2,4],[5,7]]=>7 [[1,2,6],[3,4],[5,7]]=>7 [[1,4,5],[2,6],[3,7]]=>7 [[1,3,5],[2,6],[4,7]]=>7 [[1,2,5],[3,6],[4,7]]=>7 [[1,3,4],[2,6],[5,7]]=>7 [[1,2,4],[3,6],[5,7]]=>7 [[1,2,3],[4,6],[5,7]]=>7 [[1,3,5],[2,4],[6,7]]=>7 [[1,2,5],[3,4],[6,7]]=>7 [[1,3,4],[2,5],[6,7]]=>7 [[1,2,4],[3,5],[6,7]]=>7 [[1,2,3],[4,5],[6,7]]=>7 [[1,5,7],[2,6],[3],[4]]=>5 [[1,4,7],[2,6],[3],[5]]=>5 [[1,3,7],[2,6],[4],[5]]=>5 [[1,2,7],[3,6],[4],[5]]=>5 [[1,4,7],[2,5],[3],[6]]=>5 [[1,3,7],[2,5],[4],[6]]=>5 [[1,2,7],[3,5],[4],[6]]=>5 [[1,3,7],[2,4],[5],[6]]=>5 [[1,2,7],[3,4],[5],[6]]=>5 [[1,5,6],[2,7],[3],[4]]=>5 [[1,4,6],[2,7],[3],[5]]=>5 [[1,3,6],[2,7],[4],[5]]=>5 [[1,2,6],[3,7],[4],[5]]=>5 [[1,4,5],[2,7],[3],[6]]=>5 [[1,3,5],[2,7],[4],[6]]=>5 [[1,2,5],[3,7],[4],[6]]=>5 [[1,3,4],[2,7],[5],[6]]=>5 [[1,2,4],[3,7],[5],[6]]=>5 [[1,2,3],[4,7],[5],[6]]=>5 [[1,4,6],[2,5],[3],[7]]=>5 [[1,3,6],[2,5],[4],[7]]=>5 [[1,2,6],[3,5],[4],[7]]=>5 [[1,3,6],[2,4],[5],[7]]=>5 [[1,2,6],[3,4],[5],[7]]=>5 [[1,4,5],[2,6],[3],[7]]=>5 [[1,3,5],[2,6],[4],[7]]=>5 [[1,2,5],[3,6],[4],[7]]=>5 [[1,3,4],[2,6],[5],[7]]=>5 [[1,2,4],[3,6],[5],[7]]=>5 [[1,2,3],[4,6],[5],[7]]=>5 [[1,3,5],[2,4],[6],[7]]=>5 [[1,2,5],[3,4],[6],[7]]=>5 [[1,3,4],[2,5],[6],[7]]=>5 [[1,2,4],[3,5],[6],[7]]=>5 [[1,2,3],[4,5],[6],[7]]=>5 [[1,6,7],[2],[3],[4],[5]]=>3 [[1,5,7],[2],[3],[4],[6]]=>3 [[1,4,7],[2],[3],[5],[6]]=>3 [[1,3,7],[2],[4],[5],[6]]=>3 [[1,2,7],[3],[4],[5],[6]]=>3 [[1,5,6],[2],[3],[4],[7]]=>3 [[1,4,6],[2],[3],[5],[7]]=>3 [[1,3,6],[2],[4],[5],[7]]=>3 [[1,2,6],[3],[4],[5],[7]]=>3 [[1,4,5],[2],[3],[6],[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],[2,6],[3,7],[4]]=>5 [[1,4],[2,6],[3,7],[5]]=>5 [[1,3],[2,6],[4,7],[5]]=>5 [[1,2],[3,6],[4,7],[5]]=>5 [[1,4],[2,5],[3,7],[6]]=>5 [[1,3],[2,5],[4,7],[6]]=>5 [[1,2],[3,5],[4,7],[6]]=>5 [[1,3],[2,4],[5,7],[6]]=>5 [[1,2],[3,4],[5,7],[6]]=>5 [[1,4],[2,5],[3,6],[7]]=>5 [[1,3],[2,5],[4,6],[7]]=>5 [[1,2],[3,5],[4,6],[7]]=>5 [[1,3],[2,4],[5,6],[7]]=>5 [[1,2],[3,4],[5,6],[7]]=>5 [[1,6],[2,7],[3],[4],[5]]=>3 [[1,5],[2,7],[3],[4],[6]]=>3 [[1,4],[2,7],[3],[5],[6]]=>3 [[1,3],[2,7],[4],[5],[6]]=>3 [[1,2],[3,7],[4],[5],[6]]=>3 [[1,5],[2,6],[3],[4],[7]]=>3 [[1,4],[2,6],[3],[5],[7]]=>3 [[1,3],[2,6],[4],[5],[7]]=>3 [[1,2],[3,6],[4],[5],[7]]=>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 [[1,7],[2],[3],[4],[5],[6]]=>1 [[1,6],[2],[3],[4],[5],[7]]=>1 [[1,5],[2],[3],[4],[6],[7]]=>1 [[1,4],[2],[3],[5],[6],[7]]=>1 [[1,3],[2],[4],[5],[6],[7]]=>1 [[1,2],[3],[4],[5],[6],[7]]=>1 [[1],[2],[3],[4],[5],[6],[7]]=>0 [[1,2,3,4,5,6,7,8]]=>28 [[1,3,4,5,6,7,8],[2]]=>21 [[1,2,4,5,6,7,8],[3]]=>21 [[1,2,3,5,6,7,8],[4]]=>21 [[1,2,3,4,6,7,8],[5]]=>21 [[1,2,3,4,5,7,8],[6]]=>21 [[1,2,3,4,5,6,8],[7]]=>21 [[1,2,3,4,5,6,7],[8]]=>21 [[1,3,5,6,7,8],[2,4]]=>17 [[1,2,5,6,7,8],[3,4]]=>17 [[1,3,4,6,7,8],[2,5]]=>17 [[1,2,4,6,7,8],[3,5]]=>17 [[1,2,3,6,7,8],[4,5]]=>17 [[1,3,4,5,7,8],[2,6]]=>17 [[1,2,4,5,7,8],[3,6]]=>17 [[1,2,3,5,7,8],[4,6]]=>17 [[1,2,3,4,7,8],[5,6]]=>17 [[1,3,4,5,6,8],[2,7]]=>17 [[1,2,4,5,6,8],[3,7]]=>17 [[1,2,3,5,6,8],[4,7]]=>17 [[1,2,3,4,6,8],[5,7]]=>17 [[1,2,3,4,5,8],[6,7]]=>17 [[1,3,4,5,6,7],[2,8]]=>17 [[1,2,4,5,6,7],[3,8]]=>17 [[1,2,3,5,6,7],[4,8]]=>17 [[1,2,3,4,6,7],[5,8]]=>17 [[1,2,3,4,5,7],[6,8]]=>17 [[1,2,3,4,5,6],[7,8]]=>17 [[1,4,5,6,7,8],[2],[3]]=>15 [[1,3,5,6,7,8],[2],[4]]=>15 [[1,2,5,6,7,8],[3],[4]]=>15 [[1,3,4,6,7,8],[2],[5]]=>15 [[1,2,4,6,7,8],[3],[5]]=>15 [[1,2,3,6,7,8],[4],[5]]=>15 [[1,3,4,5,7,8],[2],[6]]=>15 [[1,2,4,5,7,8],[3],[6]]=>15 [[1,2,3,5,7,8],[4],[6]]=>15 [[1,2,3,4,7,8],[5],[6]]=>15 [[1,3,4,5,6,8],[2],[7]]=>15 [[1,2,4,5,6,8],[3],[7]]=>15 [[1,2,3,5,6,8],[4],[7]]=>15 [[1,2,3,4,6,8],[5],[7]]=>15 [[1,2,3,4,5,8],[6],[7]]=>15 [[1,3,4,5,6,7],[2],[8]]=>15 [[1,2,4,5,6,7],[3],[8]]=>15 [[1,2,3,5,6,7],[4],[8]]=>15 [[1,2,3,4,6,7],[5],[8]]=>15 [[1,2,3,4,5,7],[6],[8]]=>15 [[1,2,3,4,5,6],[7],[8]]=>15 [[1,3,5,7,8],[2,4,6]]=>16 [[1,2,5,7,8],[3,4,6]]=>16 [[1,3,4,7,8],[2,5,6]]=>16 [[1,2,4,7,8],[3,5,6]]=>16 [[1,2,3,7,8],[4,5,6]]=>16 [[1,3,5,6,8],[2,4,7]]=>16 [[1,2,5,6,8],[3,4,7]]=>16 [[1,3,4,6,8],[2,5,7]]=>16 [[1,2,4,6,8],[3,5,7]]=>16 [[1,2,3,6,8],[4,5,7]]=>16 [[1,3,4,5,8],[2,6,7]]=>16 [[1,2,4,5,8],[3,6,7]]=>16 [[1,2,3,5,8],[4,6,7]]=>16 [[1,2,3,4,8],[5,6,7]]=>16 [[1,3,5,6,7],[2,4,8]]=>16 [[1,2,5,6,7],[3,4,8]]=>16 [[1,3,4,6,7],[2,5,8]]=>16 [[1,2,4,6,7],[3,5,8]]=>16 [[1,2,3,6,7],[4,5,8]]=>16 [[1,3,4,5,7],[2,6,8]]=>16 [[1,2,4,5,7],[3,6,8]]=>16 [[1,2,3,5,7],[4,6,8]]=>16 [[1,2,3,4,7],[5,6,8]]=>16 [[1,3,4,5,6],[2,7,8]]=>16 [[1,2,4,5,6],[3,7,8]]=>16 [[1,2,3,5,6],[4,7,8]]=>16 [[1,2,3,4,6],[5,7,8]]=>16 [[1,2,3,4,5],[6,7,8]]=>16 [[1,4,6,7,8],[2,5],[3]]=>12 [[1,3,6,7,8],[2,5],[4]]=>12 [[1,2,6,7,8],[3,5],[4]]=>12 [[1,3,6,7,8],[2,4],[5]]=>12 [[1,2,6,7,8],[3,4],[5]]=>12 [[1,4,5,7,8],[2,6],[3]]=>12 [[1,3,5,7,8],[2,6],[4]]=>12 [[1,2,5,7,8],[3,6],[4]]=>12 [[1,3,4,7,8],[2,6],[5]]=>12 [[1,2,4,7,8],[3,6],[5]]=>12 [[1,2,3,7,8],[4,6],[5]]=>12 [[1,3,5,7,8],[2,4],[6]]=>12 [[1,2,5,7,8],[3,4],[6]]=>12 [[1,3,4,7,8],[2,5],[6]]=>12 [[1,2,4,7,8],[3,5],[6]]=>12 [[1,2,3,7,8],[4,5],[6]]=>12 [[1,4,5,6,8],[2,7],[3]]=>12 [[1,3,5,6,8],[2,7],[4]]=>12 [[1,2,5,6,8],[3,7],[4]]=>12 [[1,3,4,6,8],[2,7],[5]]=>12 [[1,2,4,6,8],[3,7],[5]]=>12 [[1,2,3,6,8],[4,7],[5]]=>12 [[1,3,4,5,8],[2,7],[6]]=>12 [[1,2,4,5,8],[3,7],[6]]=>12 [[1,2,3,5,8],[4,7],[6]]=>12 [[1,2,3,4,8],[5,7],[6]]=>12 [[1,3,5,6,8],[2,4],[7]]=>12 [[1,2,5,6,8],[3,4],[7]]=>12 [[1,3,4,6,8],[2,5],[7]]=>12 [[1,2,4,6,8],[3,5],[7]]=>12 [[1,2,3,6,8],[4,5],[7]]=>12 [[1,3,4,5,8],[2,6],[7]]=>12 [[1,2,4,5,8],[3,6],[7]]=>12 [[1,2,3,5,8],[4,6],[7]]=>12 [[1,2,3,4,8],[5,6],[7]]=>12 [[1,4,5,6,7],[2,8],[3]]=>12 [[1,3,5,6,7],[2,8],[4]]=>12 [[1,2,5,6,7],[3,8],[4]]=>12 [[1,3,4,6,7],[2,8],[5]]=>12 [[1,2,4,6,7],[3,8],[5]]=>12 [[1,2,3,6,7],[4,8],[5]]=>12 [[1,3,4,5,7],[2,8],[6]]=>12 [[1,2,4,5,7],[3,8],[6]]=>12 [[1,2,3,5,7],[4,8],[6]]=>12 [[1,2,3,4,7],[5,8],[6]]=>12 [[1,3,4,5,6],[2,8],[7]]=>12 [[1,2,4,5,6],[3,8],[7]]=>12 [[1,2,3,5,6],[4,8],[7]]=>12 [[1,2,3,4,6],[5,8],[7]]=>12 [[1,2,3,4,5],[6,8],[7]]=>12 [[1,3,5,6,7],[2,4],[8]]=>12 [[1,2,5,6,7],[3,4],[8]]=>12 [[1,3,4,6,7],[2,5],[8]]=>12 [[1,2,4,6,7],[3,5],[8]]=>12 [[1,2,3,6,7],[4,5],[8]]=>12 [[1,3,4,5,7],[2,6],[8]]=>12 [[1,2,4,5,7],[3,6],[8]]=>12 [[1,2,3,5,7],[4,6],[8]]=>12 [[1,2,3,4,7],[5,6],[8]]=>12 [[1,3,4,5,6],[2,7],[8]]=>12 [[1,2,4,5,6],[3,7],[8]]=>12 [[1,2,3,5,6],[4,7],[8]]=>12 [[1,2,3,4,6],[5,7],[8]]=>12 [[1,2,3,4,5],[6,7],[8]]=>12 [[1,5,6,7,8],[2],[3],[4]]=>10 [[1,4,6,7,8],[2],[3],[5]]=>10 [[1,3,6,7,8],[2],[4],[5]]=>10 [[1,2,6,7,8],[3],[4],[5]]=>10 [[1,4,5,7,8],[2],[3],[6]]=>10 [[1,3,5,7,8],[2],[4],[6]]=>10 [[1,2,5,7,8],[3],[4],[6]]=>10 [[1,3,4,7,8],[2],[5],[6]]=>10 [[1,2,4,7,8],[3],[5],[6]]=>10 [[1,2,3,7,8],[4],[5],[6]]=>10 [[1,4,5,6,8],[2],[3],[7]]=>10 [[1,3,5,6,8],[2],[4],[7]]=>10 [[1,2,5,6,8],[3],[4],[7]]=>10 [[1,3,4,6,8],[2],[5],[7]]=>10 [[1,2,4,6,8],[3],[5],[7]]=>10 [[1,2,3,6,8],[4],[5],[7]]=>10 [[1,3,4,5,8],[2],[6],[7]]=>10 [[1,2,4,5,8],[3],[6],[7]]=>10 [[1,2,3,5,8],[4],[6],[7]]=>10 [[1,2,3,4,8],[5],[6],[7]]=>10 [[1,4,5,6,7],[2],[3],[8]]=>10 [[1,3,5,6,7],[2],[4],[8]]=>10 [[1,2,5,6,7],[3],[4],[8]]=>10 [[1,3,4,6,7],[2],[5],[8]]=>10 [[1,2,4,6,7],[3],[5],[8]]=>10 [[1,2,3,6,7],[4],[5],[8]]=>10 [[1,3,4,5,7],[2],[6],[8]]=>10 [[1,2,4,5,7],[3],[6],[8]]=>10 [[1,2,3,5,7],[4],[6],[8]]=>10 [[1,2,3,4,7],[5],[6],[8]]=>10 [[1,3,4,5,6],[2],[7],[8]]=>10 [[1,2,4,5,6],[3],[7],[8]]=>10 [[1,2,3,5,6],[4],[7],[8]]=>10 [[1,2,3,4,6],[5],[7],[8]]=>10 [[1,2,3,4,5],[6],[7],[8]]=>10 [[1,3,5,7],[2,4,6,8]]=>18 [[1,2,5,7],[3,4,6,8]]=>18 [[1,3,4,7],[2,5,6,8]]=>18 [[1,2,4,7],[3,5,6,8]]=>18 [[1,2,3,7],[4,5,6,8]]=>18 [[1,3,5,6],[2,4,7,8]]=>18 [[1,2,5,6],[3,4,7,8]]=>18 [[1,3,4,6],[2,5,7,8]]=>18 [[1,2,4,6],[3,5,7,8]]=>18 [[1,2,3,6],[4,5,7,8]]=>18 [[1,3,4,5],[2,6,7,8]]=>18 [[1,2,4,5],[3,6,7,8]]=>18 [[1,2,3,5],[4,6,7,8]]=>18 [[1,2,3,4],[5,6,7,8]]=>18 [[1,4,6,8],[2,5,7],[3]]=>12 [[1,3,6,8],[2,5,7],[4]]=>12 [[1,2,6,8],[3,5,7],[4]]=>12 [[1,3,6,8],[2,4,7],[5]]=>12 [[1,2,6,8],[3,4,7],[5]]=>12 [[1,4,5,8],[2,6,7],[3]]=>12 [[1,3,5,8],[2,6,7],[4]]=>12 [[1,2,5,8],[3,6,7],[4]]=>12 [[1,3,4,8],[2,6,7],[5]]=>12 [[1,2,4,8],[3,6,7],[5]]=>12 [[1,2,3,8],[4,6,7],[5]]=>12 [[1,3,5,8],[2,4,7],[6]]=>12 [[1,2,5,8],[3,4,7],[6]]=>12 [[1,3,4,8],[2,5,7],[6]]=>12 [[1,2,4,8],[3,5,7],[6]]=>12 [[1,2,3,8],[4,5,7],[6]]=>12 [[1,3,5,8],[2,4,6],[7]]=>12 [[1,2,5,8],[3,4,6],[7]]=>12 [[1,3,4,8],[2,5,6],[7]]=>12 [[1,2,4,8],[3,5,6],[7]]=>12 [[1,2,3,8],[4,5,6],[7]]=>12 [[1,4,6,7],[2,5,8],[3]]=>12 [[1,3,6,7],[2,5,8],[4]]=>12 [[1,2,6,7],[3,5,8],[4]]=>12 [[1,3,6,7],[2,4,8],[5]]=>12 [[1,2,6,7],[3,4,8],[5]]=>12 [[1,4,5,7],[2,6,8],[3]]=>12 [[1,3,5,7],[2,6,8],[4]]=>12 [[1,2,5,7],[3,6,8],[4]]=>12 [[1,3,4,7],[2,6,8],[5]]=>12 [[1,2,4,7],[3,6,8],[5]]=>12 [[1,2,3,7],[4,6,8],[5]]=>12 [[1,3,5,7],[2,4,8],[6]]=>12 [[1,2,5,7],[3,4,8],[6]]=>12 [[1,3,4,7],[2,5,8],[6]]=>12 [[1,2,4,7],[3,5,8],[6]]=>12 [[1,2,3,7],[4,5,8],[6]]=>12 [[1,4,5,6],[2,7,8],[3]]=>12 [[1,3,5,6],[2,7,8],[4]]=>12 [[1,2,5,6],[3,7,8],[4]]=>12 [[1,3,4,6],[2,7,8],[5]]=>12 [[1,2,4,6],[3,7,8],[5]]=>12 [[1,2,3,6],[4,7,8],[5]]=>12 [[1,3,4,5],[2,7,8],[6]]=>12 [[1,2,4,5],[3,7,8],[6]]=>12 [[1,2,3,5],[4,7,8],[6]]=>12 [[1,2,3,4],[5,7,8],[6]]=>12 [[1,3,5,6],[2,4,8],[7]]=>12 [[1,2,5,6],[3,4,8],[7]]=>12 [[1,3,4,6],[2,5,8],[7]]=>12 [[1,2,4,6],[3,5,8],[7]]=>12 [[1,2,3,6],[4,5,8],[7]]=>12 [[1,3,4,5],[2,6,8],[7]]=>12 [[1,2,4,5],[3,6,8],[7]]=>12 [[1,2,3,5],[4,6,8],[7]]=>12 [[1,2,3,4],[5,6,8],[7]]=>12 [[1,3,5,7],[2,4,6],[8]]=>12 [[1,2,5,7],[3,4,6],[8]]=>12 [[1,3,4,7],[2,5,6],[8]]=>12 [[1,2,4,7],[3,5,6],[8]]=>12 [[1,2,3,7],[4,5,6],[8]]=>12 [[1,3,5,6],[2,4,7],[8]]=>12 [[1,2,5,6],[3,4,7],[8]]=>12 [[1,3,4,6],[2,5,7],[8]]=>12 [[1,2,4,6],[3,5,7],[8]]=>12 [[1,2,3,6],[4,5,7],[8]]=>12 [[1,3,4,5],[2,6,7],[8]]=>12 [[1,2,4,5],[3,6,7],[8]]=>12 [[1,2,3,5],[4,6,7],[8]]=>12 [[1,2,3,4],[5,6,7],[8]]=>12 [[1,4,7,8],[2,5],[3,6]]=>10 [[1,3,7,8],[2,5],[4,6]]=>10 [[1,2,7,8],[3,5],[4,6]]=>10 [[1,3,7,8],[2,4],[5,6]]=>10 [[1,2,7,8],[3,4],[5,6]]=>10 [[1,4,6,8],[2,5],[3,7]]=>10 [[1,3,6,8],[2,5],[4,7]]=>10 [[1,2,6,8],[3,5],[4,7]]=>10 [[1,3,6,8],[2,4],[5,7]]=>10 [[1,2,6,8],[3,4],[5,7]]=>10 [[1,4,5,8],[2,6],[3,7]]=>10 [[1,3,5,8],[2,6],[4,7]]=>10 [[1,2,5,8],[3,6],[4,7]]=>10 [[1,3,4,8],[2,6],[5,7]]=>10 [[1,2,4,8],[3,6],[5,7]]=>10 [[1,2,3,8],[4,6],[5,7]]=>10 [[1,3,5,8],[2,4],[6,7]]=>10 [[1,2,5,8],[3,4],[6,7]]=>10 [[1,3,4,8],[2,5],[6,7]]=>10 [[1,2,4,8],[3,5],[6,7]]=>10 [[1,2,3,8],[4,5],[6,7]]=>10 [[1,4,6,7],[2,5],[3,8]]=>10 [[1,3,6,7],[2,5],[4,8]]=>10 [[1,2,6,7],[3,5],[4,8]]=>10 [[1,3,6,7],[2,4],[5,8]]=>10 [[1,2,6,7],[3,4],[5,8]]=>10 [[1,4,5,7],[2,6],[3,8]]=>10 [[1,3,5,7],[2,6],[4,8]]=>10 [[1,2,5,7],[3,6],[4,8]]=>10 [[1,3,4,7],[2,6],[5,8]]=>10 [[1,2,4,7],[3,6],[5,8]]=>10 [[1,2,3,7],[4,6],[5,8]]=>10 [[1,3,5,7],[2,4],[6,8]]=>10 [[1,2,5,7],[3,4],[6,8]]=>10 [[1,3,4,7],[2,5],[6,8]]=>10 [[1,2,4,7],[3,5],[6,8]]=>10 [[1,2,3,7],[4,5],[6,8]]=>10 [[1,4,5,6],[2,7],[3,8]]=>10 [[1,3,5,6],[2,7],[4,8]]=>10 [[1,2,5,6],[3,7],[4,8]]=>10 [[1,3,4,6],[2,7],[5,8]]=>10 [[1,2,4,6],[3,7],[5,8]]=>10 [[1,2,3,6],[4,7],[5,8]]=>10 [[1,3,4,5],[2,7],[6,8]]=>10 [[1,2,4,5],[3,7],[6,8]]=>10 [[1,2,3,5],[4,7],[6,8]]=>10 [[1,2,3,4],[5,7],[6,8]]=>10 [[1,3,5,6],[2,4],[7,8]]=>10 [[1,2,5,6],[3,4],[7,8]]=>10 [[1,3,4,6],[2,5],[7,8]]=>10 [[1,2,4,6],[3,5],[7,8]]=>10 [[1,2,3,6],[4,5],[7,8]]=>10 [[1,3,4,5],[2,6],[7,8]]=>10 [[1,2,4,5],[3,6],[7,8]]=>10 [[1,2,3,5],[4,6],[7,8]]=>10 [[1,2,3,4],[5,6],[7,8]]=>10 [[1,5,7,8],[2,6],[3],[4]]=>8 [[1,4,7,8],[2,6],[3],[5]]=>8 [[1,3,7,8],[2,6],[4],[5]]=>8 [[1,2,7,8],[3,6],[4],[5]]=>8 [[1,4,7,8],[2,5],[3],[6]]=>8 [[1,3,7,8],[2,5],[4],[6]]=>8 [[1,2,7,8],[3,5],[4],[6]]=>8 [[1,3,7,8],[2,4],[5],[6]]=>8 [[1,2,7,8],[3,4],[5],[6]]=>8 [[1,5,6,8],[2,7],[3],[4]]=>8 [[1,4,6,8],[2,7],[3],[5]]=>8 [[1,3,6,8],[2,7],[4],[5]]=>8 [[1,2,6,8],[3,7],[4],[5]]=>8 [[1,4,5,8],[2,7],[3],[6]]=>8 [[1,3,5,8],[2,7],[4],[6]]=>8 [[1,2,5,8],[3,7],[4],[6]]=>8 [[1,3,4,8],[2,7],[5],[6]]=>8 [[1,2,4,8],[3,7],[5],[6]]=>8 [[1,2,3,8],[4,7],[5],[6]]=>8 [[1,4,6,8],[2,5],[3],[7]]=>8 [[1,3,6,8],[2,5],[4],[7]]=>8 [[1,2,6,8],[3,5],[4],[7]]=>8 [[1,3,6,8],[2,4],[5],[7]]=>8 [[1,2,6,8],[3,4],[5],[7]]=>8 [[1,4,5,8],[2,6],[3],[7]]=>8 [[1,3,5,8],[2,6],[4],[7]]=>8 [[1,2,5,8],[3,6],[4],[7]]=>8 [[1,3,4,8],[2,6],[5],[7]]=>8 [[1,2,4,8],[3,6],[5],[7]]=>8 [[1,2,3,8],[4,6],[5],[7]]=>8 [[1,3,5,8],[2,4],[6],[7]]=>8 [[1,2,5,8],[3,4],[6],[7]]=>8 [[1,3,4,8],[2,5],[6],[7]]=>8 [[1,2,4,8],[3,5],[6],[7]]=>8 [[1,2,3,8],[4,5],[6],[7]]=>8 [[1,5,6,7],[2,8],[3],[4]]=>8 [[1,4,6,7],[2,8],[3],[5]]=>8 [[1,3,6,7],[2,8],[4],[5]]=>8 [[1,2,6,7],[3,8],[4],[5]]=>8 [[1,4,5,7],[2,8],[3],[6]]=>8 [[1,3,5,7],[2,8],[4],[6]]=>8 [[1,2,5,7],[3,8],[4],[6]]=>8 [[1,3,4,7],[2,8],[5],[6]]=>8 [[1,2,4,7],[3,8],[5],[6]]=>8 [[1,2,3,7],[4,8],[5],[6]]=>8 [[1,4,5,6],[2,8],[3],[7]]=>8 [[1,3,5,6],[2,8],[4],[7]]=>8 [[1,2,5,6],[3,8],[4],[7]]=>8 [[1,3,4,6],[2,8],[5],[7]]=>8 [[1,2,4,6],[3,8],[5],[7]]=>8 [[1,2,3,6],[4,8],[5],[7]]=>8 [[1,3,4,5],[2,8],[6],[7]]=>8 [[1,2,4,5],[3,8],[6],[7]]=>8 [[1,2,3,5],[4,8],[6],[7]]=>8 [[1,2,3,4],[5,8],[6],[7]]=>8 [[1,4,6,7],[2,5],[3],[8]]=>8 [[1,3,6,7],[2,5],[4],[8]]=>8 [[1,2,6,7],[3,5],[4],[8]]=>8 [[1,3,6,7],[2,4],[5],[8]]=>8 [[1,2,6,7],[3,4],[5],[8]]=>8 [[1,4,5,7],[2,6],[3],[8]]=>8 [[1,3,5,7],[2,6],[4],[8]]=>8 [[1,2,5,7],[3,6],[4],[8]]=>8 [[1,3,4,7],[2,6],[5],[8]]=>8 [[1,2,4,7],[3,6],[5],[8]]=>8 [[1,2,3,7],[4,6],[5],[8]]=>8 [[1,3,5,7],[2,4],[6],[8]]=>8 [[1,2,5,7],[3,4],[6],[8]]=>8 [[1,3,4,7],[2,5],[6],[8]]=>8 [[1,2,4,7],[3,5],[6],[8]]=>8 [[1,2,3,7],[4,5],[6],[8]]=>8 [[1,4,5,6],[2,7],[3],[8]]=>8 [[1,3,5,6],[2,7],[4],[8]]=>8 [[1,2,5,6],[3,7],[4],[8]]=>8 [[1,3,4,6],[2,7],[5],[8]]=>8 [[1,2,4,6],[3,7],[5],[8]]=>8 [[1,2,3,6],[4,7],[5],[8]]=>8 [[1,3,4,5],[2,7],[6],[8]]=>8 [[1,2,4,5],[3,7],[6],[8]]=>8 [[1,2,3,5],[4,7],[6],[8]]=>8 [[1,2,3,4],[5,7],[6],[8]]=>8 [[1,3,5,6],[2,4],[7],[8]]=>8 [[1,2,5,6],[3,4],[7],[8]]=>8 [[1,3,4,6],[2,5],[7],[8]]=>8 [[1,2,4,6],[3,5],[7],[8]]=>8 [[1,2,3,6],[4,5],[7],[8]]=>8 [[1,3,4,5],[2,6],[7],[8]]=>8 [[1,2,4,5],[3,6],[7],[8]]=>8 [[1,2,3,5],[4,6],[7],[8]]=>8 [[1,2,3,4],[5,6],[7],[8]]=>8 [[1,6,7,8],[2],[3],[4],[5]]=>6 [[1,5,7,8],[2],[3],[4],[6]]=>6 [[1,4,7,8],[2],[3],[5],[6]]=>6 [[1,3,7,8],[2],[4],[5],[6]]=>6 [[1,2,7,8],[3],[4],[5],[6]]=>6 [[1,5,6,8],[2],[3],[4],[7]]=>6 [[1,4,6,8],[2],[3],[5],[7]]=>6 [[1,3,6,8],[2],[4],[5],[7]]=>6 [[1,2,6,8],[3],[4],[5],[7]]=>6 [[1,4,5,8],[2],[3],[6],[7]]=>6 [[1,3,5,8],[2],[4],[6],[7]]=>6 [[1,2,5,8],[3],[4],[6],[7]]=>6 [[1,3,4,8],[2],[5],[6],[7]]=>6 [[1,2,4,8],[3],[5],[6],[7]]=>6 [[1,2,3,8],[4],[5],[6],[7]]=>6 [[1,5,6,7],[2],[3],[4],[8]]=>6 [[1,4,6,7],[2],[3],[5],[8]]=>6 [[1,3,6,7],[2],[4],[5],[8]]=>6 [[1,2,6,7],[3],[4],[5],[8]]=>6 [[1,4,5,7],[2],[3],[6],[8]]=>6 [[1,3,5,7],[2],[4],[6],[8]]=>6 [[1,2,5,7],[3],[4],[6],[8]]=>6 [[1,3,4,7],[2],[5],[6],[8]]=>6 [[1,2,4,7],[3],[5],[6],[8]]=>6 [[1,2,3,7],[4],[5],[6],[8]]=>6 [[1,4,5,6],[2],[3],[7],[8]]=>6 [[1,3,5,6],[2],[4],[7],[8]]=>6 [[1,2,5,6],[3],[4],[7],[8]]=>6 [[1,3,4,6],[2],[5],[7],[8]]=>6 [[1,2,4,6],[3],[5],[7],[8]]=>6 [[1,2,3,6],[4],[5],[7],[8]]=>6 [[1,3,4,5],[2],[6],[7],[8]]=>6 [[1,2,4,5],[3],[6],[7],[8]]=>6 [[1,2,3,5],[4],[6],[7],[8]]=>6 [[1,2,3,4],[5],[6],[7],[8]]=>6 [[1,4,7],[2,5,8],[3,6]]=>11 [[1,3,7],[2,5,8],[4,6]]=>11 [[1,2,7],[3,5,8],[4,6]]=>11 [[1,3,7],[2,4,8],[5,6]]=>11 [[1,2,7],[3,4,8],[5,6]]=>11 [[1,4,6],[2,5,8],[3,7]]=>11 [[1,3,6],[2,5,8],[4,7]]=>11 [[1,2,6],[3,5,8],[4,7]]=>11 [[1,3,6],[2,4,8],[5,7]]=>11 [[1,2,6],[3,4,8],[5,7]]=>11 [[1,4,5],[2,6,8],[3,7]]=>11 [[1,3,5],[2,6,8],[4,7]]=>11 [[1,2,5],[3,6,8],[4,7]]=>11 [[1,3,4],[2,6,8],[5,7]]=>11 [[1,2,4],[3,6,8],[5,7]]=>11 [[1,2,3],[4,6,8],[5,7]]=>11 [[1,3,5],[2,4,8],[6,7]]=>11 [[1,2,5],[3,4,8],[6,7]]=>11 [[1,3,4],[2,5,8],[6,7]]=>11 [[1,2,4],[3,5,8],[6,7]]=>11 [[1,2,3],[4,5,8],[6,7]]=>11 [[1,4,6],[2,5,7],[3,8]]=>11 [[1,3,6],[2,5,7],[4,8]]=>11 [[1,2,6],[3,5,7],[4,8]]=>11 [[1,3,6],[2,4,7],[5,8]]=>11 [[1,2,6],[3,4,7],[5,8]]=>11 [[1,4,5],[2,6,7],[3,8]]=>11 [[1,3,5],[2,6,7],[4,8]]=>11 [[1,2,5],[3,6,7],[4,8]]=>11 [[1,3,4],[2,6,7],[5,8]]=>11 [[1,2,4],[3,6,7],[5,8]]=>11 [[1,2,3],[4,6,7],[5,8]]=>11 [[1,3,5],[2,4,7],[6,8]]=>11 [[1,2,5],[3,4,7],[6,8]]=>11 [[1,3,4],[2,5,7],[6,8]]=>11 [[1,2,4],[3,5,7],[6,8]]=>11 [[1,2,3],[4,5,7],[6,8]]=>11 [[1,3,5],[2,4,6],[7,8]]=>11 [[1,2,5],[3,4,6],[7,8]]=>11 [[1,3,4],[2,5,6],[7,8]]=>11 [[1,2,4],[3,5,6],[7,8]]=>11 [[1,2,3],[4,5,6],[7,8]]=>11 [[1,5,7],[2,6,8],[3],[4]]=>9 [[1,4,7],[2,6,8],[3],[5]]=>9 [[1,3,7],[2,6,8],[4],[5]]=>9 [[1,2,7],[3,6,8],[4],[5]]=>9 [[1,4,7],[2,5,8],[3],[6]]=>9 [[1,3,7],[2,5,8],[4],[6]]=>9 [[1,2,7],[3,5,8],[4],[6]]=>9 [[1,3,7],[2,4,8],[5],[6]]=>9 [[1,2,7],[3,4,8],[5],[6]]=>9 [[1,5,6],[2,7,8],[3],[4]]=>9 [[1,4,6],[2,7,8],[3],[5]]=>9 [[1,3,6],[2,7,8],[4],[5]]=>9 [[1,2,6],[3,7,8],[4],[5]]=>9 [[1,4,5],[2,7,8],[3],[6]]=>9 [[1,3,5],[2,7,8],[4],[6]]=>9 [[1,2,5],[3,7,8],[4],[6]]=>9 [[1,3,4],[2,7,8],[5],[6]]=>9 [[1,2,4],[3,7,8],[5],[6]]=>9 [[1,2,3],[4,7,8],[5],[6]]=>9 [[1,4,6],[2,5,8],[3],[7]]=>9 [[1,3,6],[2,5,8],[4],[7]]=>9 [[1,2,6],[3,5,8],[4],[7]]=>9 [[1,3,6],[2,4,8],[5],[7]]=>9 [[1,2,6],[3,4,8],[5],[7]]=>9 [[1,4,5],[2,6,8],[3],[7]]=>9 [[1,3,5],[2,6,8],[4],[7]]=>9 [[1,2,5],[3,6,8],[4],[7]]=>9 [[1,3,4],[2,6,8],[5],[7]]=>9 [[1,2,4],[3,6,8],[5],[7]]=>9 [[1,2,3],[4,6,8],[5],[7]]=>9 [[1,3,5],[2,4,8],[6],[7]]=>9 [[1,2,5],[3,4,8],[6],[7]]=>9 [[1,3,4],[2,5,8],[6],[7]]=>9 [[1,2,4],[3,5,8],[6],[7]]=>9 [[1,2,3],[4,5,8],[6],[7]]=>9 [[1,4,6],[2,5,7],[3],[8]]=>9 [[1,3,6],[2,5,7],[4],[8]]=>9 [[1,2,6],[3,5,7],[4],[8]]=>9 [[1,3,6],[2,4,7],[5],[8]]=>9 [[1,2,6],[3,4,7],[5],[8]]=>9 [[1,4,5],[2,6,7],[3],[8]]=>9 [[1,3,5],[2,6,7],[4],[8]]=>9 [[1,2,5],[3,6,7],[4],[8]]=>9 [[1,3,4],[2,6,7],[5],[8]]=>9 [[1,2,4],[3,6,7],[5],[8]]=>9 [[1,2,3],[4,6,7],[5],[8]]=>9 [[1,3,5],[2,4,7],[6],[8]]=>9 [[1,2,5],[3,4,7],[6],[8]]=>9 [[1,3,4],[2,5,7],[6],[8]]=>9 [[1,2,4],[3,5,7],[6],[8]]=>9 [[1,2,3],[4,5,7],[6],[8]]=>9 [[1,3,5],[2,4,6],[7],[8]]=>9 [[1,2,5],[3,4,6],[7],[8]]=>9 [[1,3,4],[2,5,6],[7],[8]]=>9 [[1,2,4],[3,5,6],[7],[8]]=>9 [[1,2,3],[4,5,6],[7],[8]]=>9 [[1,5,8],[2,6],[3,7],[4]]=>7 [[1,4,8],[2,6],[3,7],[5]]=>7 [[1,3,8],[2,6],[4,7],[5]]=>7 [[1,2,8],[3,6],[4,7],[5]]=>7 [[1,4,8],[2,5],[3,7],[6]]=>7 [[1,3,8],[2,5],[4,7],[6]]=>7 [[1,2,8],[3,5],[4,7],[6]]=>7 [[1,3,8],[2,4],[5,7],[6]]=>7 [[1,2,8],[3,4],[5,7],[6]]=>7 [[1,4,8],[2,5],[3,6],[7]]=>7 [[1,3,8],[2,5],[4,6],[7]]=>7 [[1,2,8],[3,5],[4,6],[7]]=>7 [[1,3,8],[2,4],[5,6],[7]]=>7 [[1,2,8],[3,4],[5,6],[7]]=>7 [[1,5,7],[2,6],[3,8],[4]]=>7 [[1,4,7],[2,6],[3,8],[5]]=>7 [[1,3,7],[2,6],[4,8],[5]]=>7 [[1,2,7],[3,6],[4,8],[5]]=>7 [[1,4,7],[2,5],[3,8],[6]]=>7 [[1,3,7],[2,5],[4,8],[6]]=>7 [[1,2,7],[3,5],[4,8],[6]]=>7 [[1,3,7],[2,4],[5,8],[6]]=>7 [[1,2,7],[3,4],[5,8],[6]]=>7 [[1,5,6],[2,7],[3,8],[4]]=>7 [[1,4,6],[2,7],[3,8],[5]]=>7 [[1,3,6],[2,7],[4,8],[5]]=>7 [[1,2,6],[3,7],[4,8],[5]]=>7 [[1,4,5],[2,7],[3,8],[6]]=>7 [[1,3,5],[2,7],[4,8],[6]]=>7 [[1,2,5],[3,7],[4,8],[6]]=>7 [[1,3,4],[2,7],[5,8],[6]]=>7 [[1,2,4],[3,7],[5,8],[6]]=>7 [[1,2,3],[4,7],[5,8],[6]]=>7 [[1,4,6],[2,5],[3,8],[7]]=>7 [[1,3,6],[2,5],[4,8],[7]]=>7 [[1,2,6],[3,5],[4,8],[7]]=>7 [[1,3,6],[2,4],[5,8],[7]]=>7 [[1,2,6],[3,4],[5,8],[7]]=>7 [[1,4,5],[2,6],[3,8],[7]]=>7 [[1,3,5],[2,6],[4,8],[7]]=>7 [[1,2,5],[3,6],[4,8],[7]]=>7 [[1,3,4],[2,6],[5,8],[7]]=>7 [[1,2,4],[3,6],[5,8],[7]]=>7 [[1,2,3],[4,6],[5,8],[7]]=>7 [[1,3,5],[2,4],[6,8],[7]]=>7 [[1,2,5],[3,4],[6,8],[7]]=>7 [[1,3,4],[2,5],[6,8],[7]]=>7 [[1,2,4],[3,5],[6,8],[7]]=>7 [[1,2,3],[4,5],[6,8],[7]]=>7 [[1,4,7],[2,5],[3,6],[8]]=>7 [[1,3,7],[2,5],[4,6],[8]]=>7 [[1,2,7],[3,5],[4,6],[8]]=>7 [[1,3,7],[2,4],[5,6],[8]]=>7 [[1,2,7],[3,4],[5,6],[8]]=>7 [[1,4,6],[2,5],[3,7],[8]]=>7 [[1,3,6],[2,5],[4,7],[8]]=>7 [[1,2,6],[3,5],[4,7],[8]]=>7 [[1,3,6],[2,4],[5,7],[8]]=>7 [[1,2,6],[3,4],[5,7],[8]]=>7 [[1,4,5],[2,6],[3,7],[8]]=>7 [[1,3,5],[2,6],[4,7],[8]]=>7 [[1,2,5],[3,6],[4,7],[8]]=>7 [[1,3,4],[2,6],[5,7],[8]]=>7 [[1,2,4],[3,6],[5,7],[8]]=>7 [[1,2,3],[4,6],[5,7],[8]]=>7 [[1,3,5],[2,4],[6,7],[8]]=>7 [[1,2,5],[3,4],[6,7],[8]]=>7 [[1,3,4],[2,5],[6,7],[8]]=>7 [[1,2,4],[3,5],[6,7],[8]]=>7 [[1,2,3],[4,5],[6,7],[8]]=>7 [[1,6,8],[2,7],[3],[4],[5]]=>5 [[1,5,8],[2,7],[3],[4],[6]]=>5 [[1,4,8],[2,7],[3],[5],[6]]=>5 [[1,3,8],[2,7],[4],[5],[6]]=>5 [[1,2,8],[3,7],[4],[5],[6]]=>5 [[1,5,8],[2,6],[3],[4],[7]]=>5 [[1,4,8],[2,6],[3],[5],[7]]=>5 [[1,3,8],[2,6],[4],[5],[7]]=>5 [[1,2,8],[3,6],[4],[5],[7]]=>5 [[1,4,8],[2,5],[3],[6],[7]]=>5 [[1,3,8],[2,5],[4],[6],[7]]=>5 [[1,2,8],[3,5],[4],[6],[7]]=>5 [[1,3,8],[2,4],[5],[6],[7]]=>5 [[1,2,8],[3,4],[5],[6],[7]]=>5 [[1,6,7],[2,8],[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]]=>5 [[1,4,6],[2,8],[3],[5],[7]]=>5 [[1,3,6],[2,8],[4],[5],[7]]=>5 [[1,2,6],[3,8],[4],[5],[7]]=>5 [[1,4,5],[2,8],[3],[6],[7]]=>5 [[1,3,5],[2,8],[4],[6],[7]]=>5 [[1,2,5],[3,8],[4],[6],[7]]=>5 [[1,3,4],[2,8],[5],[6],[7]]=>5 [[1,2,4],[3,8],[5],[6],[7]]=>5 [[1,2,3],[4,8],[5],[6],[7]]=>5 [[1,5,7],[2,6],[3],[4],[8]]=>5 [[1,4,7],[2,6],[3],[5],[8]]=>5 [[1,3,7],[2,6],[4],[5],[8]]=>5 [[1,2,7],[3,6],[4],[5],[8]]=>5 [[1,4,7],[2,5],[3],[6],[8]]=>5 [[1,3,7],[2,5],[4],[6],[8]]=>5 [[1,2,7],[3,5],[4],[6],[8]]=>5 [[1,3,7],[2,4],[5],[6],[8]]=>5 [[1,2,7],[3,4],[5],[6],[8]]=>5 [[1,5,6],[2,7],[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]]=>5 [[1,3,5],[2,7],[4],[6],[8]]=>5 [[1,2,5],[3,7],[4],[6],[8]]=>5 [[1,3,4],[2,7],[5],[6],[8]]=>5 [[1,2,4],[3,7],[5],[6],[8]]=>5 [[1,2,3],[4,7],[5],[6],[8]]=>5 [[1,4,6],[2,5],[3],[7],[8]]=>5 [[1,3,6],[2,5],[4],[7],[8]]=>5 [[1,2,6],[3,5],[4],[7],[8]]=>5 [[1,3,6],[2,4],[5],[7],[8]]=>5 [[1,2,6],[3,4],[5],[7],[8]]=>5 [[1,4,5],[2,6],[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]]=>5 [[1,2,4],[3,6],[5],[7],[8]]=>5 [[1,2,3],[4,6],[5],[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 [[1,7,8],[2],[3],[4],[5],[6]]=>3 [[1,6,8],[2],[3],[4],[5],[7]]=>3 [[1,5,8],[2],[3],[4],[6],[7]]=>3 [[1,4,8],[2],[3],[5],[6],[7]]=>3 [[1,3,8],[2],[4],[5],[6],[7]]=>3 [[1,2,8],[3],[4],[5],[6],[7]]=>3 [[1,6,7],[2],[3],[4],[5],[8]]=>3 [[1,5,7],[2],[3],[4],[6],[8]]=>3 [[1,4,7],[2],[3],[5],[6],[8]]=>3 [[1,3,7],[2],[4],[5],[6],[8]]=>3 [[1,2,7],[3],[4],[5],[6],[8]]=>3 [[1,5,6],[2],[3],[4],[7],[8]]=>3 [[1,4,6],[2],[3],[5],[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],[3],[6],[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 [[1,5],[2,6],[3,7],[4,8]]=>7 [[1,4],[2,6],[3,7],[5,8]]=>7 [[1,3],[2,6],[4,7],[5,8]]=>7 [[1,2],[3,6],[4,7],[5,8]]=>7 [[1,4],[2,5],[3,7],[6,8]]=>7 [[1,3],[2,5],[4,7],[6,8]]=>7 [[1,2],[3,5],[4,7],[6,8]]=>7 [[1,3],[2,4],[5,7],[6,8]]=>7 [[1,2],[3,4],[5,7],[6,8]]=>7 [[1,4],[2,5],[3,6],[7,8]]=>7 [[1,3],[2,5],[4,6],[7,8]]=>7 [[1,2],[3,5],[4,6],[7,8]]=>7 [[1,3],[2,4],[5,6],[7,8]]=>7 [[1,2],[3,4],[5,6],[7,8]]=>7 [[1,6],[2,7],[3,8],[4],[5]]=>5 [[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]]=>5 [[1,3],[2,6],[4,8],[5],[7]]=>5 [[1,2],[3,6],[4,8],[5],[7]]=>5 [[1,4],[2,5],[3,8],[6],[7]]=>5 [[1,3],[2,5],[4,8],[6],[7]]=>5 [[1,2],[3,5],[4,8],[6],[7]]=>5 [[1,3],[2,4],[5,8],[6],[7]]=>5 [[1,2],[3,4],[5,8],[6],[7]]=>5 [[1,5],[2,6],[3,7],[4],[8]]=>5 [[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]]=>5 [[1,2],[3,5],[4,7],[6],[8]]=>5 [[1,3],[2,4],[5,7],[6],[8]]=>5 [[1,2],[3,4],[5,7],[6],[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 [[1,7],[2,8],[3],[4],[5],[6]]=>3 [[1,6],[2,8],[3],[4],[5],[7]]=>3 [[1,5],[2,8],[3],[4],[6],[7]]=>3 [[1,4],[2,8],[3],[5],[6],[7]]=>3 [[1,3],[2,8],[4],[5],[6],[7]]=>3 [[1,2],[3,8],[4],[5],[6],[7]]=>3 [[1,6],[2,7],[3],[4],[5],[8]]=>3 [[1,5],[2,7],[3],[4],[6],[8]]=>3 [[1,4],[2,7],[3],[5],[6],[8]]=>3 [[1,3],[2,7],[4],[5],[6],[8]]=>3 [[1,2],[3,7],[4],[5],[6],[8]]=>3 [[1,5],[2,6],[3],[4],[7],[8]]=>3 [[1,4],[2,6],[3],[5],[7],[8]]=>3 [[1,3],[2,6],[4],[5],[7],[8]]=>3 [[1,2],[3,6],[4],[5],[7],[8]]=>3 [[1,4],[2,5],[3],[6],[7],[8]]=>3 [[1,3],[2,5],[4],[6],[7],[8]]=>3 [[1,2],[3,5],[4],[6],[7],[8]]=>3 [[1,3],[2,4],[5],[6],[7],[8]]=>3 [[1,2],[3,4],[5],[6],[7],[8]]=>3 [[1,8],[2],[3],[4],[5],[6],[7]]=>1 [[1,7],[2],[3],[4],[5],[6],[8]]=>1 [[1,6],[2],[3],[4],[5],[7],[8]]=>1 [[1,5],[2],[3],[4],[6],[7],[8]]=>1 [[1,4],[2],[3],[5],[6],[7],[8]]=>1 [[1,3],[2],[4],[5],[6],[7],[8]]=>1 [[1,2],[3],[4],[5],[6],[7],[8]]=>1 [[1],[2],[3],[4],[5],[6],[7],[8]]=>0
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Description
The number of attacking pairs of a standard tableau.
Note that this is actually a statistic on the underlying partition.
A pair of cells $(c, d)$ of a Young diagram (in English notation) is said to be attacking if one of the following conditions holds:
1. $c$ and $d$ lie in the same row with $c$ strictly to the west of $d$.
2. $c$ is in the row immediately to the south of $d$, and $c$ lies strictly east of $d$.
Code
def statistic(x):
    return len(x.shape().attacking_pairs())
Created
Sep 27, 2011 at 20:00 by Chris Berg
Updated
Oct 16, 2015 at 11:08 by Christian Stump