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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]]=>2 [[1],[2],[3]]=>3 [[1,2,3,4]]=>0 [[1,3,4],[2]]=>1 [[1,2,4],[3]]=>2 [[1,2,3],[4]]=>3 [[1,3],[2,4]]=>2 [[1,2],[3,4]]=>4 [[1,4],[2],[3]]=>3 [[1,3],[2],[4]]=>4 [[1,2],[3],[4]]=>5 [[1],[2],[3],[4]]=>6 [[1,2,3,4,5]]=>0 [[1,3,4,5],[2]]=>1 [[1,2,4,5],[3]]=>2 [[1,2,3,5],[4]]=>3 [[1,2,3,4],[5]]=>4 [[1,3,5],[2,4]]=>2 [[1,2,5],[3,4]]=>4 [[1,3,4],[2,5]]=>3 [[1,2,4],[3,5]]=>5 [[1,2,3],[4,5]]=>6 [[1,4,5],[2],[3]]=>3 [[1,3,5],[2],[4]]=>4 [[1,2,5],[3],[4]]=>5 [[1,3,4],[2],[5]]=>5 [[1,2,4],[3],[5]]=>6 [[1,2,3],[4],[5]]=>7 [[1,4],[2,5],[3]]=>4 [[1,3],[2,5],[4]]=>5 [[1,2],[3,5],[4]]=>7 [[1,3],[2,4],[5]]=>6 [[1,2],[3,4],[5]]=>8 [[1,5],[2],[3],[4]]=>6 [[1,4],[2],[3],[5]]=>7 [[1,3],[2],[4],[5]]=>8 [[1,2],[3],[4],[5]]=>9 [[1],[2],[3],[4],[5]]=>10 [[1,2,3,4,5,6]]=>0 [[1,3,4,5,6],[2]]=>1 [[1,2,4,5,6],[3]]=>2 [[1,2,3,5,6],[4]]=>3 [[1,2,3,4,6],[5]]=>4 [[1,2,3,4,5],[6]]=>5 [[1,3,5,6],[2,4]]=>2 [[1,2,5,6],[3,4]]=>4 [[1,3,4,6],[2,5]]=>3 [[1,2,4,6],[3,5]]=>5 [[1,2,3,6],[4,5]]=>6 [[1,3,4,5],[2,6]]=>4 [[1,2,4,5],[3,6]]=>6 [[1,2,3,5],[4,6]]=>7 [[1,2,3,4],[5,6]]=>8 [[1,4,5,6],[2],[3]]=>3 [[1,3,5,6],[2],[4]]=>4 [[1,2,5,6],[3],[4]]=>5 [[1,3,4,6],[2],[5]]=>5 [[1,2,4,6],[3],[5]]=>6 [[1,2,3,6],[4],[5]]=>7 [[1,3,4,5],[2],[6]]=>6 [[1,2,4,5],[3],[6]]=>7 [[1,2,3,5],[4],[6]]=>8 [[1,2,3,4],[5],[6]]=>9 [[1,3,5],[2,4,6]]=>3 [[1,2,5],[3,4,6]]=>5 [[1,3,4],[2,5,6]]=>5 [[1,2,4],[3,5,6]]=>8 [[1,2,3],[4,5,6]]=>9 [[1,4,6],[2,5],[3]]=>4 [[1,3,6],[2,5],[4]]=>5 [[1,2,6],[3,5],[4]]=>7 [[1,3,6],[2,4],[5]]=>6 [[1,2,6],[3,4],[5]]=>8 [[1,4,5],[2,6],[3]]=>5 [[1,3,5],[2,6],[4]]=>6 [[1,2,5],[3,6],[4]]=>8 [[1,3,4],[2,6],[5]]=>7 [[1,2,4],[3,6],[5]]=>9 [[1,2,3],[4,6],[5]]=>10 [[1,3,5],[2,4],[6]]=>7 [[1,2,5],[3,4],[6]]=>9 [[1,3,4],[2,5],[6]]=>8 [[1,2,4],[3,5],[6]]=>10 [[1,2,3],[4,5],[6]]=>11 [[1,5,6],[2],[3],[4]]=>6 [[1,4,6],[2],[3],[5]]=>7 [[1,3,6],[2],[4],[5]]=>8 [[1,2,6],[3],[4],[5]]=>9 [[1,4,5],[2],[3],[6]]=>8 [[1,3,5],[2],[4],[6]]=>9 [[1,2,5],[3],[4],[6]]=>10 [[1,3,4],[2],[5],[6]]=>10 [[1,2,4],[3],[5],[6]]=>11 [[1,2,3],[4],[5],[6]]=>12 [[1,4],[2,5],[3,6]]=>6 [[1,3],[2,5],[4,6]]=>7 [[1,2],[3,5],[4,6]]=>10 [[1,3],[2,4],[5,6]]=>10 [[1,2],[3,4],[5,6]]=>12 [[1,5],[2,6],[3],[4]]=>7 [[1,4],[2,6],[3],[5]]=>8 [[1,3],[2,6],[4],[5]]=>9 [[1,2],[3,6],[4],[5]]=>11 [[1,4],[2,5],[3],[6]]=>9 [[1,3],[2,5],[4],[6]]=>10 [[1,2],[3,5],[4],[6]]=>12 [[1,3],[2,4],[5],[6]]=>11 [[1,2],[3,4],[5],[6]]=>13 [[1,6],[2],[3],[4],[5]]=>10 [[1,5],[2],[3],[4],[6]]=>11 [[1,4],[2],[3],[5],[6]]=>12 [[1,3],[2],[4],[5],[6]]=>13 [[1,2],[3],[4],[5],[6]]=>14 [[1],[2],[3],[4],[5],[6]]=>15 [[1,2,3,4,5,6,7]]=>0 [[1,3,4,5,6,7],[2]]=>1 [[1,2,4,5,6,7],[3]]=>2 [[1,2,3,5,6,7],[4]]=>3 [[1,2,3,4,6,7],[5]]=>4 [[1,2,3,4,5,7],[6]]=>5 [[1,2,3,4,5,6],[7]]=>6 [[1,3,5,6,7],[2,4]]=>2 [[1,2,5,6,7],[3,4]]=>4 [[1,3,4,6,7],[2,5]]=>3 [[1,2,4,6,7],[3,5]]=>5 [[1,2,3,6,7],[4,5]]=>6 [[1,3,4,5,7],[2,6]]=>4 [[1,2,4,5,7],[3,6]]=>6 [[1,2,3,5,7],[4,6]]=>7 [[1,2,3,4,7],[5,6]]=>8 [[1,3,4,5,6],[2,7]]=>5 [[1,2,4,5,6],[3,7]]=>7 [[1,2,3,5,6],[4,7]]=>8 [[1,2,3,4,6],[5,7]]=>9 [[1,2,3,4,5],[6,7]]=>10 [[1,4,5,6,7],[2],[3]]=>3 [[1,3,5,6,7],[2],[4]]=>4 [[1,2,5,6,7],[3],[4]]=>5 [[1,3,4,6,7],[2],[5]]=>5 [[1,2,4,6,7],[3],[5]]=>6 [[1,2,3,6,7],[4],[5]]=>7 [[1,3,4,5,7],[2],[6]]=>6 [[1,2,4,5,7],[3],[6]]=>7 [[1,2,3,5,7],[4],[6]]=>8 [[1,2,3,4,7],[5],[6]]=>9 [[1,3,4,5,6],[2],[7]]=>7 [[1,2,4,5,6],[3],[7]]=>8 [[1,2,3,5,6],[4],[7]]=>9 [[1,2,3,4,6],[5],[7]]=>10 [[1,2,3,4,5],[6],[7]]=>11 [[1,3,5,7],[2,4,6]]=>3 [[1,2,5,7],[3,4,6]]=>5 [[1,3,4,7],[2,5,6]]=>5 [[1,2,4,7],[3,5,6]]=>8 [[1,2,3,7],[4,5,6]]=>9 [[1,3,5,6],[2,4,7]]=>4 [[1,2,5,6],[3,4,7]]=>6 [[1,3,4,6],[2,5,7]]=>6 [[1,2,4,6],[3,5,7]]=>9 [[1,2,3,6],[4,5,7]]=>10 [[1,3,4,5],[2,6,7]]=>7 [[1,2,4,5],[3,6,7]]=>10 [[1,2,3,5],[4,6,7]]=>11 [[1,2,3,4],[5,6,7]]=>12 [[1,4,6,7],[2,5],[3]]=>4 [[1,3,6,7],[2,5],[4]]=>5 [[1,2,6,7],[3,5],[4]]=>7 [[1,3,6,7],[2,4],[5]]=>6 [[1,2,6,7],[3,4],[5]]=>8 [[1,4,5,7],[2,6],[3]]=>5 [[1,3,5,7],[2,6],[4]]=>6 [[1,2,5,7],[3,6],[4]]=>8 [[1,3,4,7],[2,6],[5]]=>7 [[1,2,4,7],[3,6],[5]]=>9 [[1,2,3,7],[4,6],[5]]=>10 [[1,3,5,7],[2,4],[6]]=>7 [[1,2,5,7],[3,4],[6]]=>9 [[1,3,4,7],[2,5],[6]]=>8 [[1,2,4,7],[3,5],[6]]=>10 [[1,2,3,7],[4,5],[6]]=>11 [[1,4,5,6],[2,7],[3]]=>6 [[1,3,5,6],[2,7],[4]]=>7 [[1,2,5,6],[3,7],[4]]=>9 [[1,3,4,6],[2,7],[5]]=>8 [[1,2,4,6],[3,7],[5]]=>10 [[1,2,3,6],[4,7],[5]]=>11 [[1,3,4,5],[2,7],[6]]=>9 [[1,2,4,5],[3,7],[6]]=>11 [[1,2,3,5],[4,7],[6]]=>12 [[1,2,3,4],[5,7],[6]]=>13 [[1,3,5,6],[2,4],[7]]=>8 [[1,2,5,6],[3,4],[7]]=>10 [[1,3,4,6],[2,5],[7]]=>9 [[1,2,4,6],[3,5],[7]]=>11 [[1,2,3,6],[4,5],[7]]=>12 [[1,3,4,5],[2,6],[7]]=>10 [[1,2,4,5],[3,6],[7]]=>12 [[1,2,3,5],[4,6],[7]]=>13 [[1,2,3,4],[5,6],[7]]=>14 [[1,5,6,7],[2],[3],[4]]=>6 [[1,4,6,7],[2],[3],[5]]=>7 [[1,3,6,7],[2],[4],[5]]=>8 [[1,2,6,7],[3],[4],[5]]=>9 [[1,4,5,7],[2],[3],[6]]=>8 [[1,3,5,7],[2],[4],[6]]=>9 [[1,2,5,7],[3],[4],[6]]=>10 [[1,3,4,7],[2],[5],[6]]=>10 [[1,2,4,7],[3],[5],[6]]=>11 [[1,2,3,7],[4],[5],[6]]=>12 [[1,4,5,6],[2],[3],[7]]=>9 [[1,3,5,6],[2],[4],[7]]=>10 [[1,2,5,6],[3],[4],[7]]=>11 [[1,3,4,6],[2],[5],[7]]=>11 [[1,2,4,6],[3],[5],[7]]=>12 [[1,2,3,6],[4],[5],[7]]=>13 [[1,3,4,5],[2],[6],[7]]=>12 [[1,2,4,5],[3],[6],[7]]=>13 [[1,2,3,5],[4],[6],[7]]=>14 [[1,2,3,4],[5],[6],[7]]=>15 [[1,4,6],[2,5,7],[3]]=>5 [[1,3,6],[2,5,7],[4]]=>6 [[1,2,6],[3,5,7],[4]]=>8 [[1,3,6],[2,4,7],[5]]=>7 [[1,2,6],[3,4,7],[5]]=>9 [[1,4,5],[2,6,7],[3]]=>7 [[1,3,5],[2,6,7],[4]]=>8 [[1,2,5],[3,6,7],[4]]=>11 [[1,3,4],[2,6,7],[5]]=>9 [[1,2,4],[3,6,7],[5]]=>12 [[1,2,3],[4,6,7],[5]]=>13 [[1,3,5],[2,4,7],[6]]=>8 [[1,2,5],[3,4,7],[6]]=>10 [[1,3,4],[2,5,7],[6]]=>10 [[1,2,4],[3,5,7],[6]]=>13 [[1,2,3],[4,5,7],[6]]=>14 [[1,3,5],[2,4,6],[7]]=>9 [[1,2,5],[3,4,6],[7]]=>11 [[1,3,4],[2,5,6],[7]]=>11 [[1,2,4],[3,5,6],[7]]=>14 [[1,2,3],[4,5,6],[7]]=>15 [[1,4,7],[2,5],[3,6]]=>6 [[1,3,7],[2,5],[4,6]]=>7 [[1,2,7],[3,5],[4,6]]=>10 [[1,3,7],[2,4],[5,6]]=>10 [[1,2,7],[3,4],[5,6]]=>12 [[1,4,6],[2,5],[3,7]]=>7 [[1,3,6],[2,5],[4,7]]=>8 [[1,2,6],[3,5],[4,7]]=>11 [[1,3,6],[2,4],[5,7]]=>11 [[1,2,6],[3,4],[5,7]]=>13 [[1,4,5],[2,6],[3,7]]=>8 [[1,3,5],[2,6],[4,7]]=>9 [[1,2,5],[3,6],[4,7]]=>12 [[1,3,4],[2,6],[5,7]]=>10 [[1,2,4],[3,6],[5,7]]=>13 [[1,2,3],[4,6],[5,7]]=>14 [[1,3,5],[2,4],[6,7]]=>12 [[1,2,5],[3,4],[6,7]]=>14 [[1,3,4],[2,5],[6,7]]=>13 [[1,2,4],[3,5],[6,7]]=>15 [[1,2,3],[4,5],[6,7]]=>16 [[1,5,7],[2,6],[3],[4]]=>7 [[1,4,7],[2,6],[3],[5]]=>8 [[1,3,7],[2,6],[4],[5]]=>9 [[1,2,7],[3,6],[4],[5]]=>11 [[1,4,7],[2,5],[3],[6]]=>9 [[1,3,7],[2,5],[4],[6]]=>10 [[1,2,7],[3,5],[4],[6]]=>12 [[1,3,7],[2,4],[5],[6]]=>11 [[1,2,7],[3,4],[5],[6]]=>13 [[1,5,6],[2,7],[3],[4]]=>8 [[1,4,6],[2,7],[3],[5]]=>9 [[1,3,6],[2,7],[4],[5]]=>10 [[1,2,6],[3,7],[4],[5]]=>12 [[1,4,5],[2,7],[3],[6]]=>10 [[1,3,5],[2,7],[4],[6]]=>11 [[1,2,5],[3,7],[4],[6]]=>13 [[1,3,4],[2,7],[5],[6]]=>12 [[1,2,4],[3,7],[5],[6]]=>14 [[1,2,3],[4,7],[5],[6]]=>15 [[1,4,6],[2,5],[3],[7]]=>10 [[1,3,6],[2,5],[4],[7]]=>11 [[1,2,6],[3,5],[4],[7]]=>13 [[1,3,6],[2,4],[5],[7]]=>12 [[1,2,6],[3,4],[5],[7]]=>14 [[1,4,5],[2,6],[3],[7]]=>11 [[1,3,5],[2,6],[4],[7]]=>12 [[1,2,5],[3,6],[4],[7]]=>14 [[1,3,4],[2,6],[5],[7]]=>13 [[1,2,4],[3,6],[5],[7]]=>15 [[1,2,3],[4,6],[5],[7]]=>16 [[1,3,5],[2,4],[6],[7]]=>13 [[1,2,5],[3,4],[6],[7]]=>15 [[1,3,4],[2,5],[6],[7]]=>14 [[1,2,4],[3,5],[6],[7]]=>16 [[1,2,3],[4,5],[6],[7]]=>17 [[1,6,7],[2],[3],[4],[5]]=>10 [[1,5,7],[2],[3],[4],[6]]=>11 [[1,4,7],[2],[3],[5],[6]]=>12 [[1,3,7],[2],[4],[5],[6]]=>13 [[1,2,7],[3],[4],[5],[6]]=>14 [[1,5,6],[2],[3],[4],[7]]=>12 [[1,4,6],[2],[3],[5],[7]]=>13 [[1,3,6],[2],[4],[5],[7]]=>14 [[1,2,6],[3],[4],[5],[7]]=>15 [[1,4,5],[2],[3],[6],[7]]=>14 [[1,3,5],[2],[4],[6],[7]]=>15 [[1,2,5],[3],[4],[6],[7]]=>16 [[1,3,4],[2],[5],[6],[7]]=>16 [[1,2,4],[3],[5],[6],[7]]=>17 [[1,2,3],[4],[5],[6],[7]]=>18 [[1,5],[2,6],[3,7],[4]]=>9 [[1,4],[2,6],[3,7],[5]]=>10 [[1,3],[2,6],[4,7],[5]]=>11 [[1,2],[3,6],[4,7],[5]]=>14 [[1,4],[2,5],[3,7],[6]]=>11 [[1,3],[2,5],[4,7],[6]]=>12 [[1,2],[3,5],[4,7],[6]]=>15 [[1,3],[2,4],[5,7],[6]]=>15 [[1,2],[3,4],[5,7],[6]]=>17 [[1,4],[2,5],[3,6],[7]]=>12 [[1,3],[2,5],[4,6],[7]]=>13 [[1,2],[3,5],[4,6],[7]]=>16 [[1,3],[2,4],[5,6],[7]]=>16 [[1,2],[3,4],[5,6],[7]]=>18 [[1,6],[2,7],[3],[4],[5]]=>11 [[1,5],[2,7],[3],[4],[6]]=>12 [[1,4],[2,7],[3],[5],[6]]=>13 [[1,3],[2,7],[4],[5],[6]]=>14 [[1,2],[3,7],[4],[5],[6]]=>16 [[1,5],[2,6],[3],[4],[7]]=>13 [[1,4],[2,6],[3],[5],[7]]=>14 [[1,3],[2,6],[4],[5],[7]]=>15 [[1,2],[3,6],[4],[5],[7]]=>17 [[1,4],[2,5],[3],[6],[7]]=>15 [[1,3],[2,5],[4],[6],[7]]=>16 [[1,2],[3,5],[4],[6],[7]]=>18 [[1,3],[2,4],[5],[6],[7]]=>17 [[1,2],[3,4],[5],[6],[7]]=>19 [[1,7],[2],[3],[4],[5],[6]]=>15 [[1,6],[2],[3],[4],[5],[7]]=>16 [[1,5],[2],[3],[4],[6],[7]]=>17 [[1,4],[2],[3],[5],[6],[7]]=>18 [[1,3],[2],[4],[5],[6],[7]]=>19 [[1,2],[3],[4],[5],[6],[7]]=>20 [[1],[2],[3],[4],[5],[6],[7]]=>21 [[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]]=>2 [[1,2,3,5,6,7,8],[4]]=>3 [[1,2,3,4,6,7,8],[5]]=>4 [[1,2,3,4,5,7,8],[6]]=>5 [[1,2,3,4,5,6,8],[7]]=>6 [[1,2,3,4,5,6,7],[8]]=>7 [[1,3,5,6,7,8],[2,4]]=>2 [[1,2,5,6,7,8],[3,4]]=>4 [[1,3,4,6,7,8],[2,5]]=>3 [[1,2,4,6,7,8],[3,5]]=>5 [[1,2,3,6,7,8],[4,5]]=>6 [[1,3,4,5,7,8],[2,6]]=>4 [[1,2,4,5,7,8],[3,6]]=>6 [[1,2,3,5,7,8],[4,6]]=>7 [[1,2,3,4,7,8],[5,6]]=>8 [[1,3,4,5,6,8],[2,7]]=>5 [[1,2,4,5,6,8],[3,7]]=>7 [[1,2,3,5,6,8],[4,7]]=>8 [[1,2,3,4,6,8],[5,7]]=>9 [[1,2,3,4,5,8],[6,7]]=>10 [[1,3,4,5,6,7],[2,8]]=>6 [[1,2,4,5,6,7],[3,8]]=>8 [[1,2,3,5,6,7],[4,8]]=>9 [[1,2,3,4,6,7],[5,8]]=>10 [[1,2,3,4,5,7],[6,8]]=>11 [[1,2,3,4,5,6],[7,8]]=>12 [[1,4,5,6,7,8],[2],[3]]=>3 [[1,3,5,6,7,8],[2],[4]]=>4 [[1,2,5,6,7,8],[3],[4]]=>5 [[1,3,4,6,7,8],[2],[5]]=>5 [[1,2,4,6,7,8],[3],[5]]=>6 [[1,2,3,6,7,8],[4],[5]]=>7 [[1,3,4,5,7,8],[2],[6]]=>6 [[1,2,4,5,7,8],[3],[6]]=>7 [[1,2,3,5,7,8],[4],[6]]=>8 [[1,2,3,4,7,8],[5],[6]]=>9 [[1,3,4,5,6,8],[2],[7]]=>7 [[1,2,4,5,6,8],[3],[7]]=>8 [[1,2,3,5,6,8],[4],[7]]=>9 [[1,2,3,4,6,8],[5],[7]]=>10 [[1,2,3,4,5,8],[6],[7]]=>11 [[1,3,4,5,6,7],[2],[8]]=>8 [[1,2,4,5,6,7],[3],[8]]=>9 [[1,2,3,5,6,7],[4],[8]]=>10 [[1,2,3,4,6,7],[5],[8]]=>11 [[1,2,3,4,5,7],[6],[8]]=>12 [[1,2,3,4,5,6],[7],[8]]=>13 [[1,3,5,7,8],[2,4,6]]=>3 [[1,2,5,7,8],[3,4,6]]=>5 [[1,3,4,7,8],[2,5,6]]=>5 [[1,2,4,7,8],[3,5,6]]=>8 [[1,2,3,7,8],[4,5,6]]=>9 [[1,3,5,6,8],[2,4,7]]=>4 [[1,2,5,6,8],[3,4,7]]=>6 [[1,3,4,6,8],[2,5,7]]=>6 [[1,2,4,6,8],[3,5,7]]=>9 [[1,2,3,6,8],[4,5,7]]=>10 [[1,3,4,5,8],[2,6,7]]=>7 [[1,2,4,5,8],[3,6,7]]=>10 [[1,2,3,5,8],[4,6,7]]=>11 [[1,2,3,4,8],[5,6,7]]=>12 [[1,3,5,6,7],[2,4,8]]=>5 [[1,2,5,6,7],[3,4,8]]=>7 [[1,3,4,6,7],[2,5,8]]=>7 [[1,2,4,6,7],[3,5,8]]=>10 [[1,2,3,6,7],[4,5,8]]=>11 [[1,3,4,5,7],[2,6,8]]=>8 [[1,2,4,5,7],[3,6,8]]=>11 [[1,2,3,5,7],[4,6,8]]=>12 [[1,2,3,4,7],[5,6,8]]=>13 [[1,3,4,5,6],[2,7,8]]=>9 [[1,2,4,5,6],[3,7,8]]=>12 [[1,2,3,5,6],[4,7,8]]=>13 [[1,2,3,4,6],[5,7,8]]=>14 [[1,2,3,4,5],[6,7,8]]=>15 [[1,4,6,7,8],[2,5],[3]]=>4 [[1,3,6,7,8],[2,5],[4]]=>5 [[1,2,6,7,8],[3,5],[4]]=>7 [[1,3,6,7,8],[2,4],[5]]=>6 [[1,2,6,7,8],[3,4],[5]]=>8 [[1,4,5,7,8],[2,6],[3]]=>5 [[1,3,5,7,8],[2,6],[4]]=>6 [[1,2,5,7,8],[3,6],[4]]=>8 [[1,3,4,7,8],[2,6],[5]]=>7 [[1,2,4,7,8],[3,6],[5]]=>9 [[1,2,3,7,8],[4,6],[5]]=>10 [[1,3,5,7,8],[2,4],[6]]=>7 [[1,2,5,7,8],[3,4],[6]]=>9 [[1,3,4,7,8],[2,5],[6]]=>8 [[1,2,4,7,8],[3,5],[6]]=>10 [[1,2,3,7,8],[4,5],[6]]=>11 [[1,4,5,6,8],[2,7],[3]]=>6 [[1,3,5,6,8],[2,7],[4]]=>7 [[1,2,5,6,8],[3,7],[4]]=>9 [[1,3,4,6,8],[2,7],[5]]=>8 [[1,2,4,6,8],[3,7],[5]]=>10 [[1,2,3,6,8],[4,7],[5]]=>11 [[1,3,4,5,8],[2,7],[6]]=>9 [[1,2,4,5,8],[3,7],[6]]=>11 [[1,2,3,5,8],[4,7],[6]]=>12 [[1,2,3,4,8],[5,7],[6]]=>13 [[1,3,5,6,8],[2,4],[7]]=>8 [[1,2,5,6,8],[3,4],[7]]=>10 [[1,3,4,6,8],[2,5],[7]]=>9 [[1,2,4,6,8],[3,5],[7]]=>11 [[1,2,3,6,8],[4,5],[7]]=>12 [[1,3,4,5,8],[2,6],[7]]=>10 [[1,2,4,5,8],[3,6],[7]]=>12 [[1,2,3,5,8],[4,6],[7]]=>13 [[1,2,3,4,8],[5,6],[7]]=>14 [[1,4,5,6,7],[2,8],[3]]=>7 [[1,3,5,6,7],[2,8],[4]]=>8 [[1,2,5,6,7],[3,8],[4]]=>10 [[1,3,4,6,7],[2,8],[5]]=>9 [[1,2,4,6,7],[3,8],[5]]=>11 [[1,2,3,6,7],[4,8],[5]]=>12 [[1,3,4,5,7],[2,8],[6]]=>10 [[1,2,4,5,7],[3,8],[6]]=>12 [[1,2,3,5,7],[4,8],[6]]=>13 [[1,2,3,4,7],[5,8],[6]]=>14 [[1,3,4,5,6],[2,8],[7]]=>11 [[1,2,4,5,6],[3,8],[7]]=>13 [[1,2,3,5,6],[4,8],[7]]=>14 [[1,2,3,4,6],[5,8],[7]]=>15 [[1,2,3,4,5],[6,8],[7]]=>16 [[1,3,5,6,7],[2,4],[8]]=>9 [[1,2,5,6,7],[3,4],[8]]=>11 [[1,3,4,6,7],[2,5],[8]]=>10 [[1,2,4,6,7],[3,5],[8]]=>12 [[1,2,3,6,7],[4,5],[8]]=>13 [[1,3,4,5,7],[2,6],[8]]=>11 [[1,2,4,5,7],[3,6],[8]]=>13 [[1,2,3,5,7],[4,6],[8]]=>14 [[1,2,3,4,7],[5,6],[8]]=>15 [[1,3,4,5,6],[2,7],[8]]=>12 [[1,2,4,5,6],[3,7],[8]]=>14 [[1,2,3,5,6],[4,7],[8]]=>15 [[1,2,3,4,6],[5,7],[8]]=>16 [[1,2,3,4,5],[6,7],[8]]=>17 [[1,5,6,7,8],[2],[3],[4]]=>6 [[1,4,6,7,8],[2],[3],[5]]=>7 [[1,3,6,7,8],[2],[4],[5]]=>8 [[1,2,6,7,8],[3],[4],[5]]=>9 [[1,4,5,7,8],[2],[3],[6]]=>8 [[1,3,5,7,8],[2],[4],[6]]=>9 [[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]]=>11 [[1,2,3,7,8],[4],[5],[6]]=>12 [[1,4,5,6,8],[2],[3],[7]]=>9 [[1,3,5,6,8],[2],[4],[7]]=>10 [[1,2,5,6,8],[3],[4],[7]]=>11 [[1,3,4,6,8],[2],[5],[7]]=>11 [[1,2,4,6,8],[3],[5],[7]]=>12 [[1,2,3,6,8],[4],[5],[7]]=>13 [[1,3,4,5,8],[2],[6],[7]]=>12 [[1,2,4,5,8],[3],[6],[7]]=>13 [[1,2,3,5,8],[4],[6],[7]]=>14 [[1,2,3,4,8],[5],[6],[7]]=>15 [[1,4,5,6,7],[2],[3],[8]]=>10 [[1,3,5,6,7],[2],[4],[8]]=>11 [[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]]=>13 [[1,2,3,6,7],[4],[5],[8]]=>14 [[1,3,4,5,7],[2],[6],[8]]=>13 [[1,2,4,5,7],[3],[6],[8]]=>14 [[1,2,3,5,7],[4],[6],[8]]=>15 [[1,2,3,4,7],[5],[6],[8]]=>16 [[1,3,4,5,6],[2],[7],[8]]=>14 [[1,2,4,5,6],[3],[7],[8]]=>15 [[1,2,3,5,6],[4],[7],[8]]=>16 [[1,2,3,4,6],[5],[7],[8]]=>17 [[1,2,3,4,5],[6],[7],[8]]=>18 [[1,3,5,7],[2,4,6,8]]=>4 [[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]]=>9 [[1,2,3,7],[4,5,6,8]]=>10 [[1,3,5,6],[2,4,7,8]]=>6 [[1,2,5,6],[3,4,7,8]]=>8 [[1,3,4,6],[2,5,7,8]]=>9 [[1,2,4,6],[3,5,7,8]]=>13 [[1,2,3,6],[4,5,7,8]]=>14 [[1,3,4,5],[2,6,7,8]]=>10 [[1,2,4,5],[3,6,7,8]]=>14 [[1,2,3,5],[4,6,7,8]]=>15 [[1,2,3,4],[5,6,7,8]]=>16 [[1,4,6,8],[2,5,7],[3]]=>5 [[1,3,6,8],[2,5,7],[4]]=>6 [[1,2,6,8],[3,5,7],[4]]=>8 [[1,3,6,8],[2,4,7],[5]]=>7 [[1,2,6,8],[3,4,7],[5]]=>9 [[1,4,5,8],[2,6,7],[3]]=>7 [[1,3,5,8],[2,6,7],[4]]=>8 [[1,2,5,8],[3,6,7],[4]]=>11 [[1,3,4,8],[2,6,7],[5]]=>9 [[1,2,4,8],[3,6,7],[5]]=>12 [[1,2,3,8],[4,6,7],[5]]=>13 [[1,3,5,8],[2,4,7],[6]]=>8 [[1,2,5,8],[3,4,7],[6]]=>10 [[1,3,4,8],[2,5,7],[6]]=>10 [[1,2,4,8],[3,5,7],[6]]=>13 [[1,2,3,8],[4,5,7],[6]]=>14 [[1,3,5,8],[2,4,6],[7]]=>9 [[1,2,5,8],[3,4,6],[7]]=>11 [[1,3,4,8],[2,5,6],[7]]=>11 [[1,2,4,8],[3,5,6],[7]]=>14 [[1,2,3,8],[4,5,6],[7]]=>15 [[1,4,6,7],[2,5,8],[3]]=>6 [[1,3,6,7],[2,5,8],[4]]=>7 [[1,2,6,7],[3,5,8],[4]]=>9 [[1,3,6,7],[2,4,8],[5]]=>8 [[1,2,6,7],[3,4,8],[5]]=>10 [[1,4,5,7],[2,6,8],[3]]=>8 [[1,3,5,7],[2,6,8],[4]]=>9 [[1,2,5,7],[3,6,8],[4]]=>12 [[1,3,4,7],[2,6,8],[5]]=>10 [[1,2,4,7],[3,6,8],[5]]=>13 [[1,2,3,7],[4,6,8],[5]]=>14 [[1,3,5,7],[2,4,8],[6]]=>9 [[1,2,5,7],[3,4,8],[6]]=>11 [[1,3,4,7],[2,5,8],[6]]=>11 [[1,2,4,7],[3,5,8],[6]]=>14 [[1,2,3,7],[4,5,8],[6]]=>15 [[1,4,5,6],[2,7,8],[3]]=>9 [[1,3,5,6],[2,7,8],[4]]=>10 [[1,2,5,6],[3,7,8],[4]]=>13 [[1,3,4,6],[2,7,8],[5]]=>11 [[1,2,4,6],[3,7,8],[5]]=>14 [[1,2,3,6],[4,7,8],[5]]=>15 [[1,3,4,5],[2,7,8],[6]]=>12 [[1,2,4,5],[3,7,8],[6]]=>15 [[1,2,3,5],[4,7,8],[6]]=>16 [[1,2,3,4],[5,7,8],[6]]=>17 [[1,3,5,6],[2,4,8],[7]]=>10 [[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]]=>15 [[1,2,3,6],[4,5,8],[7]]=>16 [[1,3,4,5],[2,6,8],[7]]=>13 [[1,2,4,5],[3,6,8],[7]]=>16 [[1,2,3,5],[4,6,8],[7]]=>17 [[1,2,3,4],[5,6,8],[7]]=>18 [[1,3,5,7],[2,4,6],[8]]=>10 [[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]]=>15 [[1,2,3,7],[4,5,6],[8]]=>16 [[1,3,5,6],[2,4,7],[8]]=>11 [[1,2,5,6],[3,4,7],[8]]=>13 [[1,3,4,6],[2,5,7],[8]]=>13 [[1,2,4,6],[3,5,7],[8]]=>16 [[1,2,3,6],[4,5,7],[8]]=>17 [[1,3,4,5],[2,6,7],[8]]=>14 [[1,2,4,5],[3,6,7],[8]]=>17 [[1,2,3,5],[4,6,7],[8]]=>18 [[1,2,3,4],[5,6,7],[8]]=>19 [[1,4,7,8],[2,5],[3,6]]=>6 [[1,3,7,8],[2,5],[4,6]]=>7 [[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]]=>12 [[1,4,6,8],[2,5],[3,7]]=>7 [[1,3,6,8],[2,5],[4,7]]=>8 [[1,2,6,8],[3,5],[4,7]]=>11 [[1,3,6,8],[2,4],[5,7]]=>11 [[1,2,6,8],[3,4],[5,7]]=>13 [[1,4,5,8],[2,6],[3,7]]=>8 [[1,3,5,8],[2,6],[4,7]]=>9 [[1,2,5,8],[3,6],[4,7]]=>12 [[1,3,4,8],[2,6],[5,7]]=>10 [[1,2,4,8],[3,6],[5,7]]=>13 [[1,2,3,8],[4,6],[5,7]]=>14 [[1,3,5,8],[2,4],[6,7]]=>12 [[1,2,5,8],[3,4],[6,7]]=>14 [[1,3,4,8],[2,5],[6,7]]=>13 [[1,2,4,8],[3,5],[6,7]]=>15 [[1,2,3,8],[4,5],[6,7]]=>16 [[1,4,6,7],[2,5],[3,8]]=>8 [[1,3,6,7],[2,5],[4,8]]=>9 [[1,2,6,7],[3,5],[4,8]]=>12 [[1,3,6,7],[2,4],[5,8]]=>12 [[1,2,6,7],[3,4],[5,8]]=>14 [[1,4,5,7],[2,6],[3,8]]=>9 [[1,3,5,7],[2,6],[4,8]]=>10 [[1,2,5,7],[3,6],[4,8]]=>13 [[1,3,4,7],[2,6],[5,8]]=>11 [[1,2,4,7],[3,6],[5,8]]=>14 [[1,2,3,7],[4,6],[5,8]]=>15 [[1,3,5,7],[2,4],[6,8]]=>13 [[1,2,5,7],[3,4],[6,8]]=>15 [[1,3,4,7],[2,5],[6,8]]=>14 [[1,2,4,7],[3,5],[6,8]]=>16 [[1,2,3,7],[4,5],[6,8]]=>17 [[1,4,5,6],[2,7],[3,8]]=>10 [[1,3,5,6],[2,7],[4,8]]=>11 [[1,2,5,6],[3,7],[4,8]]=>14 [[1,3,4,6],[2,7],[5,8]]=>12 [[1,2,4,6],[3,7],[5,8]]=>15 [[1,2,3,6],[4,7],[5,8]]=>16 [[1,3,4,5],[2,7],[6,8]]=>13 [[1,2,4,5],[3,7],[6,8]]=>16 [[1,2,3,5],[4,7],[6,8]]=>17 [[1,2,3,4],[5,7],[6,8]]=>18 [[1,3,5,6],[2,4],[7,8]]=>14 [[1,2,5,6],[3,4],[7,8]]=>16 [[1,3,4,6],[2,5],[7,8]]=>15 [[1,2,4,6],[3,5],[7,8]]=>17 [[1,2,3,6],[4,5],[7,8]]=>18 [[1,3,4,5],[2,6],[7,8]]=>16 [[1,2,4,5],[3,6],[7,8]]=>18 [[1,2,3,5],[4,6],[7,8]]=>19 [[1,2,3,4],[5,6],[7,8]]=>20 [[1,5,7,8],[2,6],[3],[4]]=>7 [[1,4,7,8],[2,6],[3],[5]]=>8 [[1,3,7,8],[2,6],[4],[5]]=>9 [[1,2,7,8],[3,6],[4],[5]]=>11 [[1,4,7,8],[2,5],[3],[6]]=>9 [[1,3,7,8],[2,5],[4],[6]]=>10 [[1,2,7,8],[3,5],[4],[6]]=>12 [[1,3,7,8],[2,4],[5],[6]]=>11 [[1,2,7,8],[3,4],[5],[6]]=>13 [[1,5,6,8],[2,7],[3],[4]]=>8 [[1,4,6,8],[2,7],[3],[5]]=>9 [[1,3,6,8],[2,7],[4],[5]]=>10 [[1,2,6,8],[3,7],[4],[5]]=>12 [[1,4,5,8],[2,7],[3],[6]]=>10 [[1,3,5,8],[2,7],[4],[6]]=>11 [[1,2,5,8],[3,7],[4],[6]]=>13 [[1,3,4,8],[2,7],[5],[6]]=>12 [[1,2,4,8],[3,7],[5],[6]]=>14 [[1,2,3,8],[4,7],[5],[6]]=>15 [[1,4,6,8],[2,5],[3],[7]]=>10 [[1,3,6,8],[2,5],[4],[7]]=>11 [[1,2,6,8],[3,5],[4],[7]]=>13 [[1,3,6,8],[2,4],[5],[7]]=>12 [[1,2,6,8],[3,4],[5],[7]]=>14 [[1,4,5,8],[2,6],[3],[7]]=>11 [[1,3,5,8],[2,6],[4],[7]]=>12 [[1,2,5,8],[3,6],[4],[7]]=>14 [[1,3,4,8],[2,6],[5],[7]]=>13 [[1,2,4,8],[3,6],[5],[7]]=>15 [[1,2,3,8],[4,6],[5],[7]]=>16 [[1,3,5,8],[2,4],[6],[7]]=>13 [[1,2,5,8],[3,4],[6],[7]]=>15 [[1,3,4,8],[2,5],[6],[7]]=>14 [[1,2,4,8],[3,5],[6],[7]]=>16 [[1,2,3,8],[4,5],[6],[7]]=>17 [[1,5,6,7],[2,8],[3],[4]]=>9 [[1,4,6,7],[2,8],[3],[5]]=>10 [[1,3,6,7],[2,8],[4],[5]]=>11 [[1,2,6,7],[3,8],[4],[5]]=>13 [[1,4,5,7],[2,8],[3],[6]]=>11 [[1,3,5,7],[2,8],[4],[6]]=>12 [[1,2,5,7],[3,8],[4],[6]]=>14 [[1,3,4,7],[2,8],[5],[6]]=>13 [[1,2,4,7],[3,8],[5],[6]]=>15 [[1,2,3,7],[4,8],[5],[6]]=>16 [[1,4,5,6],[2,8],[3],[7]]=>12 [[1,3,5,6],[2,8],[4],[7]]=>13 [[1,2,5,6],[3,8],[4],[7]]=>15 [[1,3,4,6],[2,8],[5],[7]]=>14 [[1,2,4,6],[3,8],[5],[7]]=>16 [[1,2,3,6],[4,8],[5],[7]]=>17 [[1,3,4,5],[2,8],[6],[7]]=>15 [[1,2,4,5],[3,8],[6],[7]]=>17 [[1,2,3,5],[4,8],[6],[7]]=>18 [[1,2,3,4],[5,8],[6],[7]]=>19 [[1,4,6,7],[2,5],[3],[8]]=>11 [[1,3,6,7],[2,5],[4],[8]]=>12 [[1,2,6,7],[3,5],[4],[8]]=>14 [[1,3,6,7],[2,4],[5],[8]]=>13 [[1,2,6,7],[3,4],[5],[8]]=>15 [[1,4,5,7],[2,6],[3],[8]]=>12 [[1,3,5,7],[2,6],[4],[8]]=>13 [[1,2,5,7],[3,6],[4],[8]]=>15 [[1,3,4,7],[2,6],[5],[8]]=>14 [[1,2,4,7],[3,6],[5],[8]]=>16 [[1,2,3,7],[4,6],[5],[8]]=>17 [[1,3,5,7],[2,4],[6],[8]]=>14 [[1,2,5,7],[3,4],[6],[8]]=>16 [[1,3,4,7],[2,5],[6],[8]]=>15 [[1,2,4,7],[3,5],[6],[8]]=>17 [[1,2,3,7],[4,5],[6],[8]]=>18 [[1,4,5,6],[2,7],[3],[8]]=>13 [[1,3,5,6],[2,7],[4],[8]]=>14 [[1,2,5,6],[3,7],[4],[8]]=>16 [[1,3,4,6],[2,7],[5],[8]]=>15 [[1,2,4,6],[3,7],[5],[8]]=>17 [[1,2,3,6],[4,7],[5],[8]]=>18 [[1,3,4,5],[2,7],[6],[8]]=>16 [[1,2,4,5],[3,7],[6],[8]]=>18 [[1,2,3,5],[4,7],[6],[8]]=>19 [[1,2,3,4],[5,7],[6],[8]]=>20 [[1,3,5,6],[2,4],[7],[8]]=>15 [[1,2,5,6],[3,4],[7],[8]]=>17 [[1,3,4,6],[2,5],[7],[8]]=>16 [[1,2,4,6],[3,5],[7],[8]]=>18 [[1,2,3,6],[4,5],[7],[8]]=>19 [[1,3,4,5],[2,6],[7],[8]]=>17 [[1,2,4,5],[3,6],[7],[8]]=>19 [[1,2,3,5],[4,6],[7],[8]]=>20 [[1,2,3,4],[5,6],[7],[8]]=>21 [[1,6,7,8],[2],[3],[4],[5]]=>10 [[1,5,7,8],[2],[3],[4],[6]]=>11 [[1,4,7,8],[2],[3],[5],[6]]=>12 [[1,3,7,8],[2],[4],[5],[6]]=>13 [[1,2,7,8],[3],[4],[5],[6]]=>14 [[1,5,6,8],[2],[3],[4],[7]]=>12 [[1,4,6,8],[2],[3],[5],[7]]=>13 [[1,3,6,8],[2],[4],[5],[7]]=>14 [[1,2,6,8],[3],[4],[5],[7]]=>15 [[1,4,5,8],[2],[3],[6],[7]]=>14 [[1,3,5,8],[2],[4],[6],[7]]=>15 [[1,2,5,8],[3],[4],[6],[7]]=>16 [[1,3,4,8],[2],[5],[6],[7]]=>16 [[1,2,4,8],[3],[5],[6],[7]]=>17 [[1,2,3,8],[4],[5],[6],[7]]=>18 [[1,5,6,7],[2],[3],[4],[8]]=>13 [[1,4,6,7],[2],[3],[5],[8]]=>14 [[1,3,6,7],[2],[4],[5],[8]]=>15 [[1,2,6,7],[3],[4],[5],[8]]=>16 [[1,4,5,7],[2],[3],[6],[8]]=>15 [[1,3,5,7],[2],[4],[6],[8]]=>16 [[1,2,5,7],[3],[4],[6],[8]]=>17 [[1,3,4,7],[2],[5],[6],[8]]=>17 [[1,2,4,7],[3],[5],[6],[8]]=>18 [[1,2,3,7],[4],[5],[6],[8]]=>19 [[1,4,5,6],[2],[3],[7],[8]]=>16 [[1,3,5,6],[2],[4],[7],[8]]=>17 [[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]]=>19 [[1,2,3,6],[4],[5],[7],[8]]=>20 [[1,3,4,5],[2],[6],[7],[8]]=>19 [[1,2,4,5],[3],[6],[7],[8]]=>20 [[1,2,3,5],[4],[6],[7],[8]]=>21 [[1,2,3,4],[5],[6],[7],[8]]=>22 [[1,4,7],[2,5,8],[3,6]]=>7 [[1,3,7],[2,5,8],[4,6]]=>8 [[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]]=>13 [[1,4,6],[2,5,8],[3,7]]=>8 [[1,3,6],[2,5,8],[4,7]]=>9 [[1,2,6],[3,5,8],[4,7]]=>12 [[1,3,6],[2,4,8],[5,7]]=>12 [[1,2,6],[3,4,8],[5,7]]=>14 [[1,4,5],[2,6,8],[3,7]]=>10 [[1,3,5],[2,6,8],[4,7]]=>11 [[1,2,5],[3,6,8],[4,7]]=>15 [[1,3,4],[2,6,8],[5,7]]=>12 [[1,2,4],[3,6,8],[5,7]]=>16 [[1,2,3],[4,6,8],[5,7]]=>17 [[1,3,5],[2,4,8],[6,7]]=>13 [[1,2,5],[3,4,8],[6,7]]=>15 [[1,3,4],[2,5,8],[6,7]]=>15 [[1,2,4],[3,5,8],[6,7]]=>18 [[1,2,3],[4,5,8],[6,7]]=>19 [[1,4,6],[2,5,7],[3,8]]=>9 [[1,3,6],[2,5,7],[4,8]]=>10 [[1,2,6],[3,5,7],[4,8]]=>13 [[1,3,6],[2,4,7],[5,8]]=>13 [[1,2,6],[3,4,7],[5,8]]=>15 [[1,4,5],[2,6,7],[3,8]]=>11 [[1,3,5],[2,6,7],[4,8]]=>12 [[1,2,5],[3,6,7],[4,8]]=>16 [[1,3,4],[2,6,7],[5,8]]=>13 [[1,2,4],[3,6,7],[5,8]]=>17 [[1,2,3],[4,6,7],[5,8]]=>18 [[1,3,5],[2,4,7],[6,8]]=>14 [[1,2,5],[3,4,7],[6,8]]=>16 [[1,3,4],[2,5,7],[6,8]]=>16 [[1,2,4],[3,5,7],[6,8]]=>19 [[1,2,3],[4,5,7],[6,8]]=>20 [[1,3,5],[2,4,6],[7,8]]=>15 [[1,2,5],[3,4,6],[7,8]]=>17 [[1,3,4],[2,5,6],[7,8]]=>17 [[1,2,4],[3,5,6],[7,8]]=>20 [[1,2,3],[4,5,6],[7,8]]=>21 [[1,5,7],[2,6,8],[3],[4]]=>8 [[1,4,7],[2,6,8],[3],[5]]=>9 [[1,3,7],[2,6,8],[4],[5]]=>10 [[1,2,7],[3,6,8],[4],[5]]=>12 [[1,4,7],[2,5,8],[3],[6]]=>10 [[1,3,7],[2,5,8],[4],[6]]=>11 [[1,2,7],[3,5,8],[4],[6]]=>13 [[1,3,7],[2,4,8],[5],[6]]=>12 [[1,2,7],[3,4,8],[5],[6]]=>14 [[1,5,6],[2,7,8],[3],[4]]=>10 [[1,4,6],[2,7,8],[3],[5]]=>11 [[1,3,6],[2,7,8],[4],[5]]=>12 [[1,2,6],[3,7,8],[4],[5]]=>15 [[1,4,5],[2,7,8],[3],[6]]=>12 [[1,3,5],[2,7,8],[4],[6]]=>13 [[1,2,5],[3,7,8],[4],[6]]=>16 [[1,3,4],[2,7,8],[5],[6]]=>14 [[1,2,4],[3,7,8],[5],[6]]=>17 [[1,2,3],[4,7,8],[5],[6]]=>18 [[1,4,6],[2,5,8],[3],[7]]=>11 [[1,3,6],[2,5,8],[4],[7]]=>12 [[1,2,6],[3,5,8],[4],[7]]=>14 [[1,3,6],[2,4,8],[5],[7]]=>13 [[1,2,6],[3,4,8],[5],[7]]=>15 [[1,4,5],[2,6,8],[3],[7]]=>13 [[1,3,5],[2,6,8],[4],[7]]=>14 [[1,2,5],[3,6,8],[4],[7]]=>17 [[1,3,4],[2,6,8],[5],[7]]=>15 [[1,2,4],[3,6,8],[5],[7]]=>18 [[1,2,3],[4,6,8],[5],[7]]=>19 [[1,3,5],[2,4,8],[6],[7]]=>14 [[1,2,5],[3,4,8],[6],[7]]=>16 [[1,3,4],[2,5,8],[6],[7]]=>16 [[1,2,4],[3,5,8],[6],[7]]=>19 [[1,2,3],[4,5,8],[6],[7]]=>20 [[1,4,6],[2,5,7],[3],[8]]=>12 [[1,3,6],[2,5,7],[4],[8]]=>13 [[1,2,6],[3,5,7],[4],[8]]=>15 [[1,3,6],[2,4,7],[5],[8]]=>14 [[1,2,6],[3,4,7],[5],[8]]=>16 [[1,4,5],[2,6,7],[3],[8]]=>14 [[1,3,5],[2,6,7],[4],[8]]=>15 [[1,2,5],[3,6,7],[4],[8]]=>18 [[1,3,4],[2,6,7],[5],[8]]=>16 [[1,2,4],[3,6,7],[5],[8]]=>19 [[1,2,3],[4,6,7],[5],[8]]=>20 [[1,3,5],[2,4,7],[6],[8]]=>15 [[1,2,5],[3,4,7],[6],[8]]=>17 [[1,3,4],[2,5,7],[6],[8]]=>17 [[1,2,4],[3,5,7],[6],[8]]=>20 [[1,2,3],[4,5,7],[6],[8]]=>21 [[1,3,5],[2,4,6],[7],[8]]=>16 [[1,2,5],[3,4,6],[7],[8]]=>18 [[1,3,4],[2,5,6],[7],[8]]=>18 [[1,2,4],[3,5,6],[7],[8]]=>21 [[1,2,3],[4,5,6],[7],[8]]=>22 [[1,5,8],[2,6],[3,7],[4]]=>9 [[1,4,8],[2,6],[3,7],[5]]=>10 [[1,3,8],[2,6],[4,7],[5]]=>11 [[1,2,8],[3,6],[4,7],[5]]=>14 [[1,4,8],[2,5],[3,7],[6]]=>11 [[1,3,8],[2,5],[4,7],[6]]=>12 [[1,2,8],[3,5],[4,7],[6]]=>15 [[1,3,8],[2,4],[5,7],[6]]=>15 [[1,2,8],[3,4],[5,7],[6]]=>17 [[1,4,8],[2,5],[3,6],[7]]=>12 [[1,3,8],[2,5],[4,6],[7]]=>13 [[1,2,8],[3,5],[4,6],[7]]=>16 [[1,3,8],[2,4],[5,6],[7]]=>16 [[1,2,8],[3,4],[5,6],[7]]=>18 [[1,5,7],[2,6],[3,8],[4]]=>10 [[1,4,7],[2,6],[3,8],[5]]=>11 [[1,3,7],[2,6],[4,8],[5]]=>12 [[1,2,7],[3,6],[4,8],[5]]=>15 [[1,4,7],[2,5],[3,8],[6]]=>12 [[1,3,7],[2,5],[4,8],[6]]=>13 [[1,2,7],[3,5],[4,8],[6]]=>16 [[1,3,7],[2,4],[5,8],[6]]=>16 [[1,2,7],[3,4],[5,8],[6]]=>18 [[1,5,6],[2,7],[3,8],[4]]=>11 [[1,4,6],[2,7],[3,8],[5]]=>12 [[1,3,6],[2,7],[4,8],[5]]=>13 [[1,2,6],[3,7],[4,8],[5]]=>16 [[1,4,5],[2,7],[3,8],[6]]=>13 [[1,3,5],[2,7],[4,8],[6]]=>14 [[1,2,5],[3,7],[4,8],[6]]=>17 [[1,3,4],[2,7],[5,8],[6]]=>15 [[1,2,4],[3,7],[5,8],[6]]=>18 [[1,2,3],[4,7],[5,8],[6]]=>19 [[1,4,6],[2,5],[3,8],[7]]=>13 [[1,3,6],[2,5],[4,8],[7]]=>14 [[1,2,6],[3,5],[4,8],[7]]=>17 [[1,3,6],[2,4],[5,8],[7]]=>17 [[1,2,6],[3,4],[5,8],[7]]=>19 [[1,4,5],[2,6],[3,8],[7]]=>14 [[1,3,5],[2,6],[4,8],[7]]=>15 [[1,2,5],[3,6],[4,8],[7]]=>18 [[1,3,4],[2,6],[5,8],[7]]=>16 [[1,2,4],[3,6],[5,8],[7]]=>19 [[1,2,3],[4,6],[5,8],[7]]=>20 [[1,3,5],[2,4],[6,8],[7]]=>18 [[1,2,5],[3,4],[6,8],[7]]=>20 [[1,3,4],[2,5],[6,8],[7]]=>19 [[1,2,4],[3,5],[6,8],[7]]=>21 [[1,2,3],[4,5],[6,8],[7]]=>22 [[1,4,7],[2,5],[3,6],[8]]=>13 [[1,3,7],[2,5],[4,6],[8]]=>14 [[1,2,7],[3,5],[4,6],[8]]=>17 [[1,3,7],[2,4],[5,6],[8]]=>17 [[1,2,7],[3,4],[5,6],[8]]=>19 [[1,4,6],[2,5],[3,7],[8]]=>14 [[1,3,6],[2,5],[4,7],[8]]=>15 [[1,2,6],[3,5],[4,7],[8]]=>18 [[1,3,6],[2,4],[5,7],[8]]=>18 [[1,2,6],[3,4],[5,7],[8]]=>20 [[1,4,5],[2,6],[3,7],[8]]=>15 [[1,3,5],[2,6],[4,7],[8]]=>16 [[1,2,5],[3,6],[4,7],[8]]=>19 [[1,3,4],[2,6],[5,7],[8]]=>17 [[1,2,4],[3,6],[5,7],[8]]=>20 [[1,2,3],[4,6],[5,7],[8]]=>21 [[1,3,5],[2,4],[6,7],[8]]=>19 [[1,2,5],[3,4],[6,7],[8]]=>21 [[1,3,4],[2,5],[6,7],[8]]=>20 [[1,2,4],[3,5],[6,7],[8]]=>22 [[1,2,3],[4,5],[6,7],[8]]=>23 [[1,6,8],[2,7],[3],[4],[5]]=>11 [[1,5,8],[2,7],[3],[4],[6]]=>12 [[1,4,8],[2,7],[3],[5],[6]]=>13 [[1,3,8],[2,7],[4],[5],[6]]=>14 [[1,2,8],[3,7],[4],[5],[6]]=>16 [[1,5,8],[2,6],[3],[4],[7]]=>13 [[1,4,8],[2,6],[3],[5],[7]]=>14 [[1,3,8],[2,6],[4],[5],[7]]=>15 [[1,2,8],[3,6],[4],[5],[7]]=>17 [[1,4,8],[2,5],[3],[6],[7]]=>15 [[1,3,8],[2,5],[4],[6],[7]]=>16 [[1,2,8],[3,5],[4],[6],[7]]=>18 [[1,3,8],[2,4],[5],[6],[7]]=>17 [[1,2,8],[3,4],[5],[6],[7]]=>19 [[1,6,7],[2,8],[3],[4],[5]]=>12 [[1,5,7],[2,8],[3],[4],[6]]=>13 [[1,4,7],[2,8],[3],[5],[6]]=>14 [[1,3,7],[2,8],[4],[5],[6]]=>15 [[1,2,7],[3,8],[4],[5],[6]]=>17 [[1,5,6],[2,8],[3],[4],[7]]=>14 [[1,4,6],[2,8],[3],[5],[7]]=>15 [[1,3,6],[2,8],[4],[5],[7]]=>16 [[1,2,6],[3,8],[4],[5],[7]]=>18 [[1,4,5],[2,8],[3],[6],[7]]=>16 [[1,3,5],[2,8],[4],[6],[7]]=>17 [[1,2,5],[3,8],[4],[6],[7]]=>19 [[1,3,4],[2,8],[5],[6],[7]]=>18 [[1,2,4],[3,8],[5],[6],[7]]=>20 [[1,2,3],[4,8],[5],[6],[7]]=>21 [[1,5,7],[2,6],[3],[4],[8]]=>14 [[1,4,7],[2,6],[3],[5],[8]]=>15 [[1,3,7],[2,6],[4],[5],[8]]=>16 [[1,2,7],[3,6],[4],[5],[8]]=>18 [[1,4,7],[2,5],[3],[6],[8]]=>16 [[1,3,7],[2,5],[4],[6],[8]]=>17 [[1,2,7],[3,5],[4],[6],[8]]=>19 [[1,3,7],[2,4],[5],[6],[8]]=>18 [[1,2,7],[3,4],[5],[6],[8]]=>20 [[1,5,6],[2,7],[3],[4],[8]]=>15 [[1,4,6],[2,7],[3],[5],[8]]=>16 [[1,3,6],[2,7],[4],[5],[8]]=>17 [[1,2,6],[3,7],[4],[5],[8]]=>19 [[1,4,5],[2,7],[3],[6],[8]]=>17 [[1,3,5],[2,7],[4],[6],[8]]=>18 [[1,2,5],[3,7],[4],[6],[8]]=>20 [[1,3,4],[2,7],[5],[6],[8]]=>19 [[1,2,4],[3,7],[5],[6],[8]]=>21 [[1,2,3],[4,7],[5],[6],[8]]=>22 [[1,4,6],[2,5],[3],[7],[8]]=>17 [[1,3,6],[2,5],[4],[7],[8]]=>18 [[1,2,6],[3,5],[4],[7],[8]]=>20 [[1,3,6],[2,4],[5],[7],[8]]=>19 [[1,2,6],[3,4],[5],[7],[8]]=>21 [[1,4,5],[2,6],[3],[7],[8]]=>18 [[1,3,5],[2,6],[4],[7],[8]]=>19 [[1,2,5],[3,6],[4],[7],[8]]=>21 [[1,3,4],[2,6],[5],[7],[8]]=>20 [[1,2,4],[3,6],[5],[7],[8]]=>22 [[1,2,3],[4,6],[5],[7],[8]]=>23 [[1,3,5],[2,4],[6],[7],[8]]=>20 [[1,2,5],[3,4],[6],[7],[8]]=>22 [[1,3,4],[2,5],[6],[7],[8]]=>21 [[1,2,4],[3,5],[6],[7],[8]]=>23 [[1,2,3],[4,5],[6],[7],[8]]=>24 [[1,7,8],[2],[3],[4],[5],[6]]=>15 [[1,6,8],[2],[3],[4],[5],[7]]=>16 [[1,5,8],[2],[3],[4],[6],[7]]=>17 [[1,4,8],[2],[3],[5],[6],[7]]=>18 [[1,3,8],[2],[4],[5],[6],[7]]=>19 [[1,2,8],[3],[4],[5],[6],[7]]=>20 [[1,6,7],[2],[3],[4],[5],[8]]=>17 [[1,5,7],[2],[3],[4],[6],[8]]=>18 [[1,4,7],[2],[3],[5],[6],[8]]=>19 [[1,3,7],[2],[4],[5],[6],[8]]=>20 [[1,2,7],[3],[4],[5],[6],[8]]=>21 [[1,5,6],[2],[3],[4],[7],[8]]=>19 [[1,4,6],[2],[3],[5],[7],[8]]=>20 [[1,3,6],[2],[4],[5],[7],[8]]=>21 [[1,2,6],[3],[4],[5],[7],[8]]=>22 [[1,4,5],[2],[3],[6],[7],[8]]=>21 [[1,3,5],[2],[4],[6],[7],[8]]=>22 [[1,2,5],[3],[4],[6],[7],[8]]=>23 [[1,3,4],[2],[5],[6],[7],[8]]=>23 [[1,2,4],[3],[5],[6],[7],[8]]=>24 [[1,2,3],[4],[5],[6],[7],[8]]=>25 [[1,5],[2,6],[3,7],[4,8]]=>12 [[1,4],[2,6],[3,7],[5,8]]=>13 [[1,3],[2,6],[4,7],[5,8]]=>14 [[1,2],[3,6],[4,7],[5,8]]=>18 [[1,4],[2,5],[3,7],[6,8]]=>14 [[1,3],[2,5],[4,7],[6,8]]=>15 [[1,2],[3,5],[4,7],[6,8]]=>19 [[1,3],[2,4],[5,7],[6,8]]=>20 [[1,2],[3,4],[5,7],[6,8]]=>22 [[1,4],[2,5],[3,6],[7,8]]=>18 [[1,3],[2,5],[4,6],[7,8]]=>19 [[1,2],[3,5],[4,6],[7,8]]=>22 [[1,3],[2,4],[5,6],[7,8]]=>22 [[1,2],[3,4],[5,6],[7,8]]=>24 [[1,6],[2,7],[3,8],[4],[5]]=>13 [[1,5],[2,7],[3,8],[4],[6]]=>14 [[1,4],[2,7],[3,8],[5],[6]]=>15 [[1,3],[2,7],[4,8],[5],[6]]=>16 [[1,2],[3,7],[4,8],[5],[6]]=>19 [[1,5],[2,6],[3,8],[4],[7]]=>15 [[1,4],[2,6],[3,8],[5],[7]]=>16 [[1,3],[2,6],[4,8],[5],[7]]=>17 [[1,2],[3,6],[4,8],[5],[7]]=>20 [[1,4],[2,5],[3,8],[6],[7]]=>17 [[1,3],[2,5],[4,8],[6],[7]]=>18 [[1,2],[3,5],[4,8],[6],[7]]=>21 [[1,3],[2,4],[5,8],[6],[7]]=>21 [[1,2],[3,4],[5,8],[6],[7]]=>23 [[1,5],[2,6],[3,7],[4],[8]]=>16 [[1,4],[2,6],[3,7],[5],[8]]=>17 [[1,3],[2,6],[4,7],[5],[8]]=>18 [[1,2],[3,6],[4,7],[5],[8]]=>21 [[1,4],[2,5],[3,7],[6],[8]]=>18 [[1,3],[2,5],[4,7],[6],[8]]=>19 [[1,2],[3,5],[4,7],[6],[8]]=>22 [[1,3],[2,4],[5,7],[6],[8]]=>22 [[1,2],[3,4],[5,7],[6],[8]]=>24 [[1,4],[2,5],[3,6],[7],[8]]=>19 [[1,3],[2,5],[4,6],[7],[8]]=>20 [[1,2],[3,5],[4,6],[7],[8]]=>23 [[1,3],[2,4],[5,6],[7],[8]]=>23 [[1,2],[3,4],[5,6],[7],[8]]=>25 [[1,7],[2,8],[3],[4],[5],[6]]=>16 [[1,6],[2,8],[3],[4],[5],[7]]=>17 [[1,5],[2,8],[3],[4],[6],[7]]=>18 [[1,4],[2,8],[3],[5],[6],[7]]=>19 [[1,3],[2,8],[4],[5],[6],[7]]=>20 [[1,2],[3,8],[4],[5],[6],[7]]=>22 [[1,6],[2,7],[3],[4],[5],[8]]=>18 [[1,5],[2,7],[3],[4],[6],[8]]=>19 [[1,4],[2,7],[3],[5],[6],[8]]=>20 [[1,3],[2,7],[4],[5],[6],[8]]=>21 [[1,2],[3,7],[4],[5],[6],[8]]=>23 [[1,5],[2,6],[3],[4],[7],[8]]=>20 [[1,4],[2,6],[3],[5],[7],[8]]=>21 [[1,3],[2,6],[4],[5],[7],[8]]=>22 [[1,2],[3,6],[4],[5],[7],[8]]=>24 [[1,4],[2,5],[3],[6],[7],[8]]=>22 [[1,3],[2,5],[4],[6],[7],[8]]=>23 [[1,2],[3,5],[4],[6],[7],[8]]=>25 [[1,3],[2,4],[5],[6],[7],[8]]=>24 [[1,2],[3,4],[5],[6],[7],[8]]=>26 [[1,8],[2],[3],[4],[5],[6],[7]]=>21 [[1,7],[2],[3],[4],[5],[6],[8]]=>22 [[1,6],[2],[3],[4],[5],[7],[8]]=>23 [[1,5],[2],[3],[4],[6],[7],[8]]=>24 [[1,4],[2],[3],[5],[6],[7],[8]]=>25 [[1,3],[2],[4],[5],[6],[7],[8]]=>26 [[1,2],[3],[4],[5],[6],[7],[8]]=>27 [[1],[2],[3],[4],[5],[6],[7],[8]]=>28 [[1,2,3,4,5,6,7,8,9]]=>0 [[1,2,3,4,5,6,7,8],[9]]=>8 [[1,2,3,4,5,6,7],[8,9]]=>14 [[1,2,3,4,5,6,7],[8],[9]]=>15 [[1,2,3,4,5,6],[7,8,9]]=>18 [[1,2,3,4,5,6],[7,8],[9]]=>20 [[1,2,3,4,5,6],[7],[8],[9]]=>21 [[1,2,3,4,5],[6,7,8,9]]=>20 [[1,2,3,4,5],[6,7,8],[9]]=>23 [[1,2,3,4,5],[6,7],[8,9]]=>24 [[1,2,3,4,5],[6,7],[8],[9]]=>25 [[1,2,3,4,5],[6],[7],[8],[9]]=>26 [[1,2,3,4],[5,6,7,8],[9]]=>24 [[1,2,3,4],[5,6,7],[8,9]]=>26 [[1,2,3,4],[5,6,7],[8],[9]]=>27 [[1,2,3,4],[5,6],[7,8],[9]]=>28 [[1,2,3,4],[5,6],[7],[8],[9]]=>29 [[1,2,3,4],[5],[6],[7],[8],[9]]=>30 [[1,2,3],[4,5,6],[7,8,9]]=>27 [[1,2,3],[4,5,6],[7,8],[9]]=>29 [[1,2,3],[4,5,6],[7],[8],[9]]=>30 [[1,2,3],[4,5],[6,7],[8,9]]=>30 [[1,2,3],[4,5],[6,7],[8],[9]]=>31 [[1,2,3],[4,5],[6],[7],[8],[9]]=>32 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>33 [[1,2],[3,4],[5,6],[7,8],[9]]=>32 [[1,2],[3,4],[5,6],[7],[8],[9]]=>33 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>34 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [[1,3,4,5,6,7,8,9],[2]]=>1 [[1,2,5,6,7,8,9],[3,4]]=>4 [[1,4,5,6,7,8,9],[2],[3]]=>3 [[1,2,3,7,8,9],[4,5,6]]=>9 [[1,3,6,7,8,9],[2,5],[4]]=>5 [[1,5,6,7,8,9],[2],[3],[4]]=>6 [[1,2,3,4,9],[5,6,7,8]]=>16 [[1,3,4,8,9],[2,6,7],[5]]=>9 [[1,2,7,8,9],[3,4],[5,6]]=>12 [[1,4,7,8,9],[2,6],[3],[5]]=>8 [[1,6,7,8,9],[2],[3],[4],[5]]=>10 [[1,3,4,5],[2,7,8,9],[6]]=>15 [[1,2,5,9],[3,4,8],[6,7]]=>15 [[1,4,5,9],[2,7,8],[3],[6]]=>12 [[1,3,8,9],[2,5],[4,7],[6]]=>12 [[1,5,8,9],[2,7],[3],[4],[6]]=>12 [[1,7,8,9],[2],[3],[4],[5],[6]]=>15 [[1,3,6],[2,5,9],[4,8],[7]]=>15 [[1,5,6],[2,8,9],[3],[4],[7]]=>16 [[1,2,9],[3,4],[5,6],[7,8]]=>24 [[1,4,9],[2,6],[3,8],[5],[7]]=>16 [[1,6,9],[2,8],[3],[4],[5],[7]]=>17 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>21 [[1,3],[2,5],[4,7],[6,9],[8]]=>22 [[1,5],[2,7],[3,9],[4],[6],[8]]=>21 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>23 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>22 [[1,7],[2,8],[3,9],[4],[5],[6]]=>18 [[1,7,9],[2,8],[3],[4],[5],[6]]=>16 [[1,6],[2,7],[3,8],[4,9],[5]]=>16 [[1,6,9],[2,7],[3,8],[4],[5]]=>13 [[1,6,8],[2,7,9],[3],[4],[5]]=>12 [[1,6,8,9],[2,7],[3],[4],[5]]=>11 [[1,5,9],[2,6],[3,7],[4,8]]=>12 [[1,5,8],[2,6,9],[3,7],[4]]=>10 [[1,5,8,9],[2,6],[3,7],[4]]=>9 [[1,5,7,9],[2,6,8],[3],[4]]=>8 [[1,5,7,8,9],[2,6],[3],[4]]=>7 [[1,4,7],[2,5,8],[3,6,9]]=>9 [[1,4,7,9],[2,5,8],[3,6]]=>7 [[1,4,7,8,9],[2,5],[3,6]]=>6 [[1,4,6,8],[2,5,7,9],[3]]=>6 [[1,4,6,8,9],[2,5,7],[3]]=>5 [[1,4,6,7,8,9],[2,5],[3]]=>4 [[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]]=>32 [[1,4],[2,5],[3,6],[7],[8],[9]]=>27 [[1,2,4],[3,5],[6],[7],[8],[9]]=>31 [[1,5],[2,6],[3,7],[4,8],[9]]=>20 [[1,2,5],[3,6],[4,7],[8],[9]]=>27 [[1,3,5],[2,4,6],[7],[8],[9]]=>24 [[1,2,3,5],[4,6],[7],[8],[9]]=>28 [[1,2,6],[3,7],[4,8],[5,9]]=>21 [[1,3,6],[2,4,7],[5,8],[9]]=>21 [[1,2,3,6],[4,7],[5,8],[9]]=>24 [[1,2,4,6],[3,5,7],[8],[9]]=>24 [[1,2,3,4,6],[5,7],[8],[9]]=>24 [[1,2,4,7],[3,5,8],[6,9]]=>21 [[1,2,3,4,7],[5,8],[6,9]]=>20 [[1,3,5,7],[2,4,6,8],[9]]=>12 [[1,2,3,5,7],[4,6,8],[9]]=>20 [[1,2,3,4,5,7],[6,8],[9]]=>19 [[1,2,4,6,8],[3,5,7,9]]=>14 [[1,2,3,4,6,8],[5,7,9]]=>15 [[1,2,3,4,5,6,8],[7,9]]=>13 [[1,2,3,4,5,6,7,9],[8]]=>7 [[1,2,3,4,5,6,9],[7,8]]=>12 [[1,2,3,4,5,6,9],[7],[8]]=>13 [[1,2,3,4,9],[5,6],[7,8]]=>20 [[1,2,9],[3],[4],[5],[6],[7],[8]]=>27 [[1,2,4,5,6,7,8,9],[3]]=>2 [[1,3,4,6,7,8,9],[2,5]]=>3 [[1,3,5,6,7,8,9],[2],[4]]=>4 [[1,3,5,6,8,9],[2,4,7]]=>4 [[1,3,4,5,6,7,8],[2,9]]=>7 [[1,3,4,5,6,7,8],[2],[9]]=>9 [[1,2,3,6,7,8,9],[4,5]]=>6 [[1,2,5,6,7,8,9],[3],[4]]=>5 [[1,2,3,4,8,9],[5,6,7]]=>12 [[1,2,6,7,8,9],[3],[4],[5]]=>9 [[1,2,7,8,9],[3],[4],[5],[6]]=>14 [[1,2,8,9],[3],[4],[5],[6],[7]]=>20 [[1,2,3,4,7,8,9],[5,6]]=>8 [[1,2,4,5,8,9],[3,7],[6]]=>11 [[1,2,4,5,6,7],[3,9],[8]]=>15 [[1,2,5,6,9],[3,8],[4],[7]]=>15 [[1,2,3,4,7,8],[5,6],[9]]=>16 [[1,2,5,6,7,8],[3],[4],[9]]=>13 [[1,2,4,5],[3,7],[6,9],[8]]=>23 [[1,2,6,7],[3,9],[4],[5],[8]]=>20 [[1,2,5,6],[3,8],[4],[7],[9]]=>23 [[1,2,7,8],[3],[4],[5],[6],[9]]=>22 [[1,2,3,4,5,6,8],[7],[9]]=>14 [[1,2,3,5,7,9],[4,6,8]]=>12 [[1,2,3,4,5,7,9],[6,8]]=>11 [[1,2,4,6,8,9],[3,5,7]]=>9 [[1,2,4,6,7,8,9],[3,5]]=>5 [[1,2,4,5,6,7,8],[3,9]]=>9 [[1,3,4,5,7,9],[2,6,8]]=>8 [[1,3,4,5,6,7,9],[2,8]]=>6 [[1,2,3,5,6,7,8,9],[4]]=>3 [[1,2,4,5,7,8,9],[3,6]]=>6 [[1,2,4,6,7,8,9],[3],[5]]=>6 [[1,2,4,6,7,9],[3,5,8]]=>10 [[1,2,3,5,6,7,8],[4,9]]=>10 [[1,2,4,5,6,7,8],[3],[9]]=>10 [[1,2,3,4,5,6,8,9],[7]]=>6 [[1,2,3,4,5,7,8,9],[6]]=>5 [[1,2,3,4,6,7,8,9],[5]]=>4 [[1,2,3,4,5,8,9],[6,7]]=>10 [[1,2,3,4,5,8,9],[6],[7]]=>11 [[1,2,3,4,7,8,9],[5],[6]]=>9 [[1,2,3,6,7,8,9],[4],[5]]=>7 [[1,3,4,7,8,9],[2,5,6]]=>5 [[1,3,4,5,7,8,9],[2,6]]=>4 [[1,3,4,6,7,8,9],[2],[5]]=>5 [[1,3,5,6,7,9],[2,4,8]]=>5 [[1,2,3,4,5,7,8],[6],[9]]=>13 [[1,2,3,4,6,7,8],[5],[9]]=>12 [[1,2,3,5,6,7,8],[4],[9]]=>11 [[1,2,3,4,5,7,8],[6,9]]=>12 [[1,3,4,5,6,8,9],[2,7]]=>5 [[1,2,3,4,6,7,8],[5,9]]=>11 [[1,2,5,7,8,9],[3,4,6]]=>5 [[1,3,4,5,6,7,9],[2],[8]]=>8 [[1,3,4,5,6,8,9],[2],[7]]=>7 [[1,3,4,5,8,9],[2,6,7]]=>7 [[1,2,3,5,7,8,9],[4,6]]=>7 [[1,3,4,5,7,8,9],[2],[6]]=>6 [[1,2,3,6,8,9],[4,5,7]]=>10 [[1,2,3,4,6,8,9],[5,7]]=>9 [[1,2,4,7,8,9],[3,5,6]]=>8 [[1,2,3,4,5,7,9],[6],[8]]=>12 [[1,2,3,5,8,9],[4,6,7]]=>11 [[1,2,4,5,6,7,9],[3],[8]]=>9 [[1,2,3,4,6,8,9],[5],[7]]=>10 [[1,2,5,6,8,9],[3,4,7]]=>6 [[1,2,5,6,7,9],[3,4,8]]=>7 [[1,2,3,4,6,7,9],[5],[8]]=>11 [[1,2,3,5,6,7,9],[4,8]]=>9 [[1,2,3,5,6,8,9],[4,7]]=>8 [[1,2,3,4,6,7,9],[5,8]]=>10 [[1,2,4,5,8,9],[3,6,7]]=>10 [[1,2,4,5,6,7,9],[3,8]]=>8 [[1,2,4,5,7,9],[3,6,8]]=>11 [[1,2,3,5,6,8,9],[4],[7]]=>9 [[1,2,4,5,7,8,9],[3],[6]]=>7 [[1,2,3,5,7,8,9],[4],[6]]=>8 [[1,2,4,5,6,8,9],[3],[7]]=>8 [[1,3,4,6,7,9],[2,5,8]]=>7 [[1,3,5,7,9],[2,4,6,8,10]]=>5 [[1,3,5,7,8],[2,4,6,9,10]]=>7 [[1,3,5,6,9],[2,4,7,8,10]]=>7 [[1,3,5,6,8],[2,4,7,9,10]]=>10 [[1,3,5,6,7],[2,4,8,9,10]]=>11 [[1,3,4,7,9],[2,5,6,8,10]]=>7 [[1,3,4,7,8],[2,5,6,9,10]]=>9 [[1,3,4,6,9],[2,5,7,8,10]]=>10 [[1,3,4,6,8],[2,5,7,9,10]]=>14 [[1,3,4,6,7],[2,5,8,9,10]]=>15 [[1,3,4,5,9],[2,6,7,8,10]]=>11 [[1,3,4,5,8],[2,6,7,9,10]]=>15 [[1,3,4,5,7],[2,6,8,9,10]]=>16 [[1,3,4,5,6],[2,7,8,9,10]]=>17 [[1,2,5,7,9],[3,4,6,8,10]]=>7 [[1,2,5,7,8],[3,4,6,9,10]]=>9 [[1,2,5,6,9],[3,4,7,8,10]]=>9 [[1,2,5,6,8],[3,4,7,9,10]]=>12 [[1,2,5,6,7],[3,4,8,9,10]]=>13 [[1,2,4,7,9],[3,5,6,8,10]]=>10 [[1,2,4,7,8],[3,5,6,9,10]]=>12 [[1,2,4,6,9],[3,5,7,8,10]]=>14 [[1,2,4,6,8],[3,5,7,9,10]]=>19 [[1,2,4,6,7],[3,5,8,9,10]]=>20 [[1,2,4,5,9],[3,6,7,8,10]]=>15 [[1,2,4,5,8],[3,6,7,9,10]]=>20 [[1,2,4,5,7],[3,6,8,9,10]]=>21 [[1,2,4,5,6],[3,7,8,9,10]]=>22 [[1,2,3,7,9],[4,5,6,8,10]]=>11 [[1,2,3,7,8],[4,5,6,9,10]]=>13 [[1,2,3,6,9],[4,5,7,8,10]]=>15 [[1,2,3,6,8],[4,5,7,9,10]]=>20 [[1,2,3,6,7],[4,5,8,9,10]]=>21 [[1,2,3,5,9],[4,6,7,8,10]]=>16 [[1,2,3,5,8],[4,6,7,9,10]]=>21 [[1,2,3,5,7],[4,6,8,9,10]]=>22 [[1,2,3,5,6],[4,7,8,9,10]]=>23 [[1,2,3,4,9],[5,6,7,8,10]]=>17 [[1,2,3,4,8],[5,6,7,9,10]]=>22 [[1,2,3,4,7],[5,6,8,9,10]]=>23 [[1,2,3,4,6],[5,7,8,9,10]]=>24 [[1,2,3,4,5],[6,7,8,9,10]]=>25 [[1,2,3,4,5,6,7,8,9,10]]=>0 [[1,2,3,4,5,6,7,8,9],[10]]=>9 [[1,2,3,4,5,6,7,8],[9,10]]=>16 [[1,2,3,4,5,6,7,8],[9],[10]]=>17 [[1,2,3,4,5,6,7],[8,9,10]]=>21 [[1,2,3,4,5,6,7],[8,9],[10]]=>23 [[1,2,3,4,5,6,7],[8],[9],[10]]=>24 [[1,2,3,4,5,6],[7,8,9,10]]=>24 [[1,2,3,4,5,6],[7,8,9],[10]]=>27 [[1,2,3,4,5,6],[7,8],[9,10]]=>28 [[1,2,3,4,5,6],[7,8],[9],[10]]=>29 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>30 [[1,2,3,4,5],[6,7,8,9],[10]]=>29 [[1,2,3,4,5],[6,7,8],[9,10]]=>31 [[1,2,3,4,5],[6,7,8],[9],[10]]=>32 [[1,2,3,4,5],[6,7],[8,9],[10]]=>33 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>34 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35 [[1,2,3,4],[5,6,7,8],[9,10]]=>32 [[1,2,3,4],[5,6,7,8],[9],[10]]=>33 [[1,2,3,4],[5,6,7],[8,9,10]]=>33 [[1,2,3,4],[5,6,7],[8,9],[10]]=>35 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>36 [[1,2,3,4],[5,6],[7,8],[9,10]]=>36 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>37 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>38 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39 [[1,2,3],[4,5,6],[7,8,9],[10]]=>36 [[1,2,3],[4,5,6],[7,8],[9,10]]=>37 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>38 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>39 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>39 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>40 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>41 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>40 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>41 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>42 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>43 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>45 [[1,3,4,5,6,7,8,9,10],[2]]=>1 [[1,2,5,6,7,8,9,10],[3,4]]=>4 [[1,4,5,6,7,8,9,10],[2],[3]]=>3 [[1,2,3,7,8,9,10],[4,5,6]]=>9 [[1,3,6,7,8,9,10],[2,5],[4]]=>5 [[1,5,6,7,8,9,10],[2],[3],[4]]=>6 [[1,2,3,4,9,10],[5,6,7,8]]=>16 [[1,3,4,8,9,10],[2,6,7],[5]]=>9 [[1,2,7,8,9,10],[3,4],[5,6]]=>12 [[1,4,7,8,9,10],[2,6],[3],[5]]=>8 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>10 [[1,3,4,5,10],[2,7,8,9],[6]]=>15 [[1,2,5,9,10],[3,4,8],[6,7]]=>15 [[1,4,5,9,10],[2,7,8],[3],[6]]=>12 [[1,3,8,9,10],[2,5],[4,7],[6]]=>12 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>12 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15 [[1,2,5,6],[3,4,9,10],[7,8]]=>20 [[1,4,5,6],[2,8,9,10],[3],[7]]=>18 [[1,2,3,10],[4,5,6],[7,8,9]]=>27 [[1,3,6,10],[2,5,9],[4,8],[7]]=>15 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>16 [[1,2,9,10],[3,4],[5,6],[7,8]]=>24 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>16 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>17 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21 [[1,3,4],[2,6,7],[5,9,10],[8]]=>24 [[1,2,7],[3,4,10],[5,6],[8,9]]=>27 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>19 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>22 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>21 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>23 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>27 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>27 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>30 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>24 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>22 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>21 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>18 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>17 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>16 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>20 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>16 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>14 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>13 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>12 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>11 [[1,5,9],[2,6,10],[3,7],[4,8]]=>13 [[1,5,9,10],[2,6],[3,7],[4,8]]=>12 [[1,5,8],[2,6,9],[3,7,10],[4]]=>12 [[1,5,8,10],[2,6,9],[3,7],[4]]=>10 [[1,5,8,9,10],[2,6],[3,7],[4]]=>9 [[1,5,7,9],[2,6,8,10],[3],[4]]=>9 [[1,5,7,9,10],[2,6,8],[3],[4]]=>8 [[1,5,7,8,9,10],[2,6],[3],[4]]=>7 [[1,4,7,10],[2,5,8],[3,6,9]]=>9 [[1,4,7,9],[2,5,8,10],[3,6]]=>8 [[1,4,7,9,10],[2,5,8],[3,6]]=>7 [[1,4,7,8,9,10],[2,5],[3,6]]=>6 [[1,4,6,8,10],[2,5,7,9],[3]]=>6 [[1,4,6,8,9,10],[2,5,7],[3]]=>5 [[1,4,6,7,8,9,10],[2,5],[3]]=>4 [[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]]=>41 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>40 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>29 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>36 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>33 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>37 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>30 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>30 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>33 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>33 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>33 [[1,3,7],[2,4,8],[5,9],[6,10]]=>25 [[1,2,3,7],[4,8],[5,9],[6,10]]=>27 [[1,4,7],[2,5,8],[3,6,9],[10]]=>18 [[1,2,4,7],[3,5,8],[6,9],[10]]=>30 [[1,2,3,4,7],[5,8],[6,9],[10]]=>29 [[1,3,5,7],[2,4,6,8],[9],[10]]=>21 [[1,2,3,5,7],[4,6,8],[9],[10]]=>29 [[1,2,3,4,5,7],[6,8],[9],[10]]=>28 [[1,2,5,8],[3,6,9],[4,7,10]]=>21 [[1,3,5,8],[2,4,6,9],[7,10]]=>18 [[1,2,3,5,8],[4,6,9],[7,10]]=>26 [[1,2,3,4,5,8],[6,9],[7,10]]=>24 [[1,2,4,6,8],[3,5,7,9],[10]]=>23 [[1,2,3,4,6,8],[5,7,9],[10]]=>24 [[1,2,3,4,5,6,8],[7,9],[10]]=>22 [[1,2,3,5,7,9],[4,6,8,10]]=>18 [[1,2,3,4,5,7,9],[6,8,10]]=>18 [[1,2,3,4,5,6,7,9],[8,10]]=>15 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>38 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>38 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>35 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>34 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>38 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>36 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>35 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>31 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>30 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>34 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>30 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>29 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>28 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>38 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>36 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>36 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>33 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>32 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>35 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>33 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>31 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>26 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>25 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>30 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>25 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>24 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>23 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>34 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>32 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>30 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>25 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>24 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>29 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>24 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>23 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>22 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>28 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>23 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>22 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>21 [[1,2,3,4,5,6,7,8,10],[9]]=>8 [[1,2,3,4,5,6,10],[7,8,9]]=>18 [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35 [[1,2,4,5,6,7,8,9,10],[3]]=>2 [[1,2,4,6,8,10],[3,5,7,9]]=>14 [[1,2,4,6,8,9,10],[3,5,7]]=>9 [[1,2,4,6,7,8,10],[3,5,9]]=>11 [[1,2,4,6,7,9,10],[3,5,8]]=>10 [[1,2,4,6,7,8,9,10],[3,5]]=>5 [[1,2,4,5,6,8,10],[3,7,9]]=>13 [[1,2,4,5,6,9,10],[3,7,8]]=>12 [[1,2,4,5,7,8,10],[3,6,9]]=>12 [[1,2,4,5,7,9,10],[3,6,8]]=>11 [[1,2,4,5,7,8,9,10],[3,6]]=>6 [[1,2,4,5,6,7,8,10],[3,9]]=>9 [[1,2,4,5,6,7,9,10],[3,8]]=>8 [[1,2,4,5,6,8,9,10],[3,7]]=>7 [[1,2,3,4,6,8,10],[5,7,9]]=>15 [[1,2,3,4,6,9,10],[5,7,8]]=>14 [[1,2,3,4,7,8,10],[5,6,9]]=>14 [[1,2,3,4,7,9,10],[5,6,8]]=>13 [[1,2,3,4,7,8,9,10],[5,6]]=>8 [[1,2,3,5,6,8,10],[4,7,9]]=>14 [[1,2,3,5,6,9,10],[4,7,8]]=>13 [[1,2,3,5,7,8,10],[4,6,9]]=>13 [[1,2,3,5,7,9,10],[4,6,8]]=>12 [[1,2,3,5,7,8,9,10],[4,6]]=>7 [[1,2,3,5,6,7,8,10],[4,9]]=>10 [[1,2,3,5,6,7,9,10],[4,8]]=>9 [[1,2,3,5,6,8,9,10],[4,7]]=>8 [[1,2,3,5,6,7,8,9,10],[4]]=>3 [[1,2,3,4,5,6,8,10],[7,9]]=>13 [[1,2,3,4,5,6,9,10],[7,8]]=>12 [[1,2,3,4,5,7,8,10],[6,9]]=>12 [[1,2,3,4,5,7,9,10],[6,8]]=>11 [[1,2,3,4,5,8,9,10],[6,7]]=>10 [[1,2,3,4,6,7,8,10],[5,9]]=>11 [[1,2,3,4,6,7,9,10],[5,8]]=>10 [[1,2,3,4,6,8,9,10],[5,7]]=>9 [[1,2,3,4,6,7,8,9,10],[5]]=>4 [[1,2,3,4,5,6,7,9,10],[8]]=>7 [[1,2,3,4,5,6,8,9,10],[7]]=>6 [[1,2,3,4,5,7,8,9,10],[6]]=>5 [[1,2,5,6,7,8,9,10],[3],[4]]=>5 [[1,2,6,7,8,9,10],[3],[4],[5]]=>9 [[1,2,7,8,9,10],[3],[4],[5],[6]]=>14 [[1,2,8,9,10],[3],[4],[5],[6],[7]]=>20 [[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>27 [[1,2,4,5,8,9,10],[3,7],[6]]=>11 [[1,2,4,5,6,7],[3,9,10],[8]]=>21 [[1,2,3,4,9,10],[5,6],[7,8]]=>20 [[1,2,5,6,9,10],[3,8],[4],[7]]=>15 [[1,2,4,5,6,7,8,9],[3],[10]]=>11 [[1,2,3,4,7,8],[5,6],[9,10]]=>24 [[1,2,5,6,7,8],[3,10],[4],[9]]=>19 [[1,2,4,5,10],[3,7],[6,9],[8]]=>23 [[1,2,6,7,10],[3,9],[4],[5],[8]]=>20 [[1,2,4,5,8,9],[3,7],[6],[10]]=>20 [[1,2,6,7,8,9],[3],[4],[5],[10]]=>18 [[1,2,5,6],[3,8],[4,10],[7],[9]]=>28 [[1,2,7,8],[3,10],[4],[5],[6],[9]]=>26 [[1,2,4,5],[3,7],[6,9],[8],[10]]=>32 [[1,2,6,7],[3,9],[4],[5],[8],[10]]=>29 [[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>29 [[1,2,3,4,5],[6,7,8,9],[10,11]]=>38 [[1,2,3,4,5],[6,7,8,9],[10],[11]]=>39 [[1,2,3,4,5],[6,7,8],[9,10,11]]=>39 [[1,2,3,4,5],[6,7,8],[9,10],[11]]=>41 [[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>42 [[1,2,3,4,5],[6,7],[8,9],[10,11]]=>42 [[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>43 [[1,2,3,4],[5,6,7,8],[9,10,11]]=>40 [[1,2,3,4],[5,6,7,8],[9,10],[11]]=>42 [[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>43 [[1,2,3,4],[5,6,7],[8,9,10],[11]]=>43 [[1,2,3,4],[5,6,7],[8,9],[10,11]]=>44 [[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>45 [[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>46 [[1,2,3],[4,5,6],[7,8,9],[10,11]]=>45 [[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>46 [[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>47 [[1,2,5,6,11],[3,4,9,10],[7,8]]=>20 [[1,4,5,6,11],[2,8,9,10],[3],[7]]=>18 [[1,2,3,10,11],[4,5,6],[7,8,9]]=>27 [[1,3,6,10,11],[2,5,9],[4,8],[7]]=>15 [[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>16 [[1,2,9,10,11],[3,4],[5,6],[7,8]]=>24 [[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>16 [[1,2,3,7],[4,5,6,11],[8,9,10]]=>31 [[1,3,6,7],[2,5,10,11],[4,9],[8]]=>20 [[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>22 [[1,3,4,11],[2,6,7],[5,9,10],[8]]=>24 [[1,2,7,11],[3,4,10],[5,6],[8,9]]=>27 [[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>19 [[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>22 [[1,2,5],[3,4,8],[6,7,11],[9,10]]=>33 [[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>28 [[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>25 [[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]]=>8 [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>8 [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>11 [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>12 [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>8 [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>10 [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>11 [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>15 [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>16 [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>12 [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>16 [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>17 [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>18 [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>8 [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>10 [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>10 [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>13 [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>14 [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>11 [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>13 [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>15 [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>20 [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>21 [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>16 [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>21 [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>22 [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>23 [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>12 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>14 [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>16 [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>21 [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>22 [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>17 [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>22 [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>23 [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>24 [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>18 [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>23 [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>24 [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>25 [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>26 [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>8 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>10 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>10 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>13 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>14 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>10 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>12 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>13 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>17 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>18 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>14 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>18 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>19 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>20 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>11 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>13 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>13 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>16 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>17 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>15 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>17 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>20 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>26 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>27 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>21 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>27 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>28 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>29 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>16 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>18 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>21 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>27 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>28 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>22 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>28 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>29 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>30 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>23 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>29 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>30 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>31 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>32 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>12 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>14 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>14 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>17 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>18 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>16 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>18 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>21 [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>27 [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>28 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>22 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>28 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>29 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>30 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>17 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>19 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>22 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>28 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>29 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>23 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>29 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>30 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>31 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>24 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>30 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>31 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>32 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>33 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>18 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>20 [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>23 [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>29 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>30 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>24 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>30 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>31 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>32 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>25 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>31 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>32 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>33 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>34 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>26 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>32 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>33 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>34 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>35 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36 [[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]]=>44 [[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>47 [[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>49 [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>50 [[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>50 [[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>51 [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>52 [[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>53 [[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>51 [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>52 [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>53 [[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>53 [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>54 [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>55 [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>56 [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>58 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>60 [[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>20 [[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>31 [[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>20 [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>22 [[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>24 [[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>27 [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>19 [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>22 [[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>28 [[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32 [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>24 [[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>33 [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>28 [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>25 [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>31 [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>58 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>58 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>55 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>54 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>58 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>56 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>55 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>51 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>50 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>54 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>50 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>49 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>48 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>58 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>56 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>56 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>53 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>52 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>55 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>53 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>51 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>46 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>45 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>50 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>45 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>44 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>43 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>54 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>52 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>50 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>45 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>44 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>49 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>44 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>43 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>42 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>48 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>43 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>42 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>41 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>40 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>58 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>56 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>56 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>53 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>52 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>56 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>54 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>53 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>49 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>48 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>52 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>48 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>47 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>46 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>55 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>53 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>53 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>50 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>49 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>51 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>49 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>46 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>40 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>39 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>45 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>39 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>38 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>37 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>50 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>48 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>45 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>39 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>38 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>44 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>38 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>37 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>36 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>43 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>37 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>36 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>35 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>34 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>54 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>52 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>52 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>49 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>48 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>50 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>48 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>45 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>39 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>38 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>44 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>38 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>37 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>36 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>49 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>47 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>44 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>38 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>37 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>43 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>37 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>36 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>35 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>42 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>36 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>35 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>34 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>33 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>48 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>46 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>43 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>37 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>36 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>42 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>36 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>35 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>34 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>41 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>35 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>34 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>33 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>32 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>40 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>34 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>33 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>32 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>31 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30 [[1,2,4,6,8,10,12],[3,5,7,9,11]]=>20 [[1,2,4,6,8,10,11,12],[3,5,7,9]]=>14 [[1,2,4,6,8,9,10,12],[3,5,7,11]]=>16 [[1,2,4,6,8,9,11,12],[3,5,7,10]]=>15 [[1,2,4,6,8,9,10,11,12],[3,5,7]]=>9 [[1,2,4,6,7,8,10,12],[3,5,9,11]]=>18 [[1,2,4,6,7,8,11,12],[3,5,9,10]]=>17 [[1,2,4,6,7,9,10,12],[3,5,8,11]]=>17 [[1,2,4,6,7,9,11,12],[3,5,8,10]]=>16 [[1,2,4,6,7,9,10,11,12],[3,5,8]]=>10 [[1,2,4,6,7,8,9,10,12],[3,5,11]]=>13 [[1,2,4,6,7,8,9,11,12],[3,5,10]]=>12 [[1,2,4,6,7,8,10,11,12],[3,5,9]]=>11 [[1,2,4,6,7,8,9,10,11,12],[3,5]]=>5 [[1,2,4,5,6,8,10,12],[3,7,9,11]]=>20 [[1,2,4,5,6,8,11,12],[3,7,9,10]]=>19 [[1,2,4,5,6,9,10,12],[3,7,8,11]]=>19 [[1,2,4,5,6,9,11,12],[3,7,8,10]]=>18 [[1,2,4,5,6,9,10,11,12],[3,7,8]]=>12 [[1,2,4,5,7,8,10,12],[3,6,9,11]]=>19 [[1,2,4,5,7,8,11,12],[3,6,9,10]]=>18 [[1,2,4,5,7,9,10,12],[3,6,8,11]]=>18 [[1,2,4,5,7,9,11,12],[3,6,8,10]]=>17 [[1,2,4,5,7,9,10,11,12],[3,6,8]]=>11 [[1,2,4,5,7,8,9,10,12],[3,6,11]]=>14 [[1,2,4,5,7,8,9,11,12],[3,6,10]]=>13 [[1,2,4,5,7,8,10,11,12],[3,6,9]]=>12 [[1,2,4,5,7,8,9,10,11,12],[3,6]]=>6 [[1,2,4,5,6,7,8,10,12],[3,9,11]]=>17 [[1,2,4,5,6,7,8,11,12],[3,9,10]]=>16 [[1,2,4,5,6,7,9,10,12],[3,8,11]]=>16 [[1,2,4,5,6,7,9,11,12],[3,8,10]]=>15 [[1,2,4,5,6,7,10,11,12],[3,8,9]]=>14 [[1,2,4,5,6,8,9,10,12],[3,7,11]]=>15 [[1,2,4,5,6,8,9,11,12],[3,7,10]]=>14 [[1,2,4,5,6,8,10,11,12],[3,7,9]]=>13 [[1,2,4,5,6,8,9,10,11,12],[3,7]]=>7 [[1,2,4,5,6,7,8,9,10,12],[3,11]]=>11 [[1,2,4,5,6,7,8,9,11,12],[3,10]]=>10 [[1,2,4,5,6,7,8,10,11,12],[3,9]]=>9 [[1,2,4,5,6,7,9,10,11,12],[3,8]]=>8 [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>2 [[1,2,3,4,6,8,10,12],[5,7,9,11]]=>22 [[1,2,3,4,6,8,11,12],[5,7,9,10]]=>21 [[1,2,3,4,6,9,10,12],[5,7,8,11]]=>21 [[1,2,3,4,6,9,11,12],[5,7,8,10]]=>20 [[1,2,3,4,6,9,10,11,12],[5,7,8]]=>14 [[1,2,3,4,7,8,10,12],[5,6,9,11]]=>21 [[1,2,3,4,7,8,11,12],[5,6,9,10]]=>20 [[1,2,3,4,7,9,10,12],[5,6,8,11]]=>20 [[1,2,3,4,7,9,11,12],[5,6,8,10]]=>19 [[1,2,3,4,7,9,10,11,12],[5,6,8]]=>13 [[1,2,3,4,7,8,9,10,12],[5,6,11]]=>16 [[1,2,3,4,7,8,9,11,12],[5,6,10]]=>15 [[1,2,3,4,7,8,10,11,12],[5,6,9]]=>14 [[1,2,3,4,7,8,9,10,11,12],[5,6]]=>8 [[1,2,3,5,6,8,10,12],[4,7,9,11]]=>21 [[1,2,3,5,6,8,11,12],[4,7,9,10]]=>20 [[1,2,3,5,6,9,10,12],[4,7,8,11]]=>20 [[1,2,3,5,6,9,11,12],[4,7,8,10]]=>19 [[1,2,3,5,6,9,10,11,12],[4,7,8]]=>13 [[1,2,3,5,7,8,10,12],[4,6,9,11]]=>20 [[1,2,3,5,7,8,11,12],[4,6,9,10]]=>19 [[1,2,3,5,7,9,10,12],[4,6,8,11]]=>19 [[1,2,3,5,7,9,11,12],[4,6,8,10]]=>18 [[1,2,3,5,7,9,10,11,12],[4,6,8]]=>12 [[1,2,3,5,7,8,9,10,12],[4,6,11]]=>15 [[1,2,3,5,7,8,9,11,12],[4,6,10]]=>14 [[1,2,3,5,7,8,10,11,12],[4,6,9]]=>13 [[1,2,3,5,7,8,9,10,11,12],[4,6]]=>7 [[1,2,3,5,6,7,8,10,12],[4,9,11]]=>18 [[1,2,3,5,6,7,8,11,12],[4,9,10]]=>17 [[1,2,3,5,6,7,9,10,12],[4,8,11]]=>17 [[1,2,3,5,6,7,9,11,12],[4,8,10]]=>16 [[1,2,3,5,6,7,10,11,12],[4,8,9]]=>15 [[1,2,3,5,6,8,9,10,12],[4,7,11]]=>16 [[1,2,3,5,6,8,9,11,12],[4,7,10]]=>15 [[1,2,3,5,6,8,10,11,12],[4,7,9]]=>14 [[1,2,3,5,6,8,9,10,11,12],[4,7]]=>8 [[1,2,3,5,6,7,8,9,10,12],[4,11]]=>12 [[1,2,3,5,6,7,8,9,11,12],[4,10]]=>11 [[1,2,3,5,6,7,8,10,11,12],[4,9]]=>10 [[1,2,3,5,6,7,9,10,11,12],[4,8]]=>9 [[1,2,3,5,6,7,8,9,10,11,12],[4]]=>3 [[1,2,3,4,5,6,8,10,12],[7,9,11]]=>21 [[1,2,3,4,5,6,8,11,12],[7,9,10]]=>20 [[1,2,3,4,5,6,9,10,12],[7,8,11]]=>20 [[1,2,3,4,5,6,9,11,12],[7,8,10]]=>19 [[1,2,3,4,5,6,10,11,12],[7,8,9]]=>18 [[1,2,3,4,5,7,8,10,12],[6,9,11]]=>20 [[1,2,3,4,5,7,8,11,12],[6,9,10]]=>19 [[1,2,3,4,5,7,9,10,12],[6,8,11]]=>19 [[1,2,3,4,5,7,9,11,12],[6,8,10]]=>18 [[1,2,3,4,5,7,10,11,12],[6,8,9]]=>17 [[1,2,3,4,5,8,9,10,12],[6,7,11]]=>18 [[1,2,3,4,5,8,9,11,12],[6,7,10]]=>17 [[1,2,3,4,5,8,10,11,12],[6,7,9]]=>16 [[1,2,3,4,5,8,9,10,11,12],[6,7]]=>10 [[1,2,3,4,6,7,8,10,12],[5,9,11]]=>19 [[1,2,3,4,6,7,8,11,12],[5,9,10]]=>18 [[1,2,3,4,6,7,9,10,12],[5,8,11]]=>18 [[1,2,3,4,6,7,9,11,12],[5,8,10]]=>17 [[1,2,3,4,6,7,10,11,12],[5,8,9]]=>16 [[1,2,3,4,6,8,9,10,12],[5,7,11]]=>17 [[1,2,3,4,6,8,9,11,12],[5,7,10]]=>16 [[1,2,3,4,6,8,10,11,12],[5,7,9]]=>15 [[1,2,3,4,6,8,9,10,11,12],[5,7]]=>9 [[1,2,3,4,6,7,8,9,10,12],[5,11]]=>13 [[1,2,3,4,6,7,8,9,11,12],[5,10]]=>12 [[1,2,3,4,6,7,8,10,11,12],[5,9]]=>11 [[1,2,3,4,6,7,9,10,11,12],[5,8]]=>10 [[1,2,3,4,6,7,8,9,10,11,12],[5]]=>4 [[1,2,3,4,5,6,7,8,10,12],[9,11]]=>17 [[1,2,3,4,5,6,7,8,11,12],[9,10]]=>16 [[1,2,3,4,5,6,7,9,10,12],[8,11]]=>16 [[1,2,3,4,5,6,7,9,11,12],[8,10]]=>15 [[1,2,3,4,5,6,7,10,11,12],[8,9]]=>14 [[1,2,3,4,5,6,8,9,10,12],[7,11]]=>15 [[1,2,3,4,5,6,8,9,11,12],[7,10]]=>14 [[1,2,3,4,5,6,8,10,11,12],[7,9]]=>13 [[1,2,3,4,5,6,9,10,11,12],[7,8]]=>12 [[1,2,3,4,5,7,8,9,10,12],[6,11]]=>14 [[1,2,3,4,5,7,8,9,11,12],[6,10]]=>13 [[1,2,3,4,5,7,8,10,11,12],[6,9]]=>12 [[1,2,3,4,5,7,9,10,11,12],[6,8]]=>11 [[1,2,3,4,5,7,8,9,10,11,12],[6]]=>5 [[1,2,3,4,5,6,7,8,9,10,12],[11]]=>10 [[1,2,3,4,5,6,7,8,9,11,12],[10]]=>9 [[1,2,3,4,5,6,7,8,10,11,12],[9]]=>8 [[1,2,3,4,5,6,7,9,10,11,12],[8]]=>7 [[1,2,3,4,5,6,8,9,10,11,12],[7]]=>6 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>59 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>60 [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>61 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>61 [[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>62 [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>63 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>62 [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>63 [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>64 [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>65 [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>28 [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>32 [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>24 [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>33 [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>28 [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>25 [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>37 [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>32 [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>30 [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>31 [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>33 [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>33 [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>34 [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>33 [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>33 [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>34 [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>35 [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>33 [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>34 [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>35 [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>36 [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>37 [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>29 [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>33 [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>33 [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>34 [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>33 [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>33 [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>34 [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>35 [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>29 [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>33 [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>34 [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>35 [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>36 [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>37 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>71 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>72 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>73 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>74 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>75 [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>37 [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>32 [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>30 [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>31 [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>35 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>85 [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>35 [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>47 [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>47 [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>48 [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>47 [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>48 [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>49 [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>50 [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>47 [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>47 [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>48 [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>47 [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>48 [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>49 [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>50 [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>65 [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>65 [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>64 [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>64 [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>63 [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>63 [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>63 [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>63 [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>82 [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>82 [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>81 [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>81 [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>101 [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>101 [[1,2,3,5,6,7,9],[4],[8]]=>10 [[1,3,4,6,8,9],[2,5,7]]=>6 [[1,2,3,6,7,9],[4,5,8]]=>11 [[1,2,4,5,6,8,9],[3,7]]=>7
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Description
The inversion number of a standard tableau as defined by Haglund and Stevens.
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
References
[1] Haglund, J., Stevens, L. An extension of the Foata map to standard Young tableaux MathSciNet:2264944
Code
def statistic(T):
    """
    sage: T = StandardTableau([[1,4],[2,5],[3]])
    sage: statistic(T)
    [(2, 1), (5, 4), (3, 1), (3, 2)]
    """
    def inversion_path(T, i, j):
        """Return the inversion path of the cell i, j, as a list of column
        indices.
    
        Given this list ``p``, cells below the path are those in
        ``T[k][l]`` with ``0<=k= p[k]``.
    
        EXAMPLES::
    
            sage: T = StandardTableau([[1,2,4,8],[3,7,11,12],[5,9,13,14],[6,10,15,16]])
            sage: inversion_path(T, 3, 3)
            [0, 2, 2]
        
            sage: T = StandardTableau([[1,2],[3,4]])
            sage: inversion_path(T, 1, 1)
            [0]
        
            sage: T = StandardTableau([[1,3],[2,4]])
            sage: inversion_path(T, 1, 1)
            [1]
    
        """
        columns = []
        while True:
            if j == 0:
                columns.extend([0]*i)
                return columns[::-1]
            elif i == 0:
                return columns[::-1]
    
            elif T[i-1][j] > T[i][j-1]:
                columns.append(j)
                i -= 1
    
            elif T[i-1][j] < T[i][j-1]:
                j -= 1

    I = []
    for i,j in T.cells():
        c = T[i][j]
        p = inversion_path(T, i, j)
        for row, col in enumerate(p):
            for d in T[row][col:]:
                if d < c:
                    I.append((c, d))
    return len(I)
Created
Apr 09, 2013 at 21:30 by Bryan D'Amico
Updated
May 12, 2020 at 15:18 by Martin Rubey