Identifier
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]]=>4 [[1,2],[3,4]]=>2 [[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]]=>4 [[1,2,5],[3,4]]=>2 [[1,3,4],[2,5]]=>5 [[1,2,4],[3,5]]=>6 [[1,2,3],[4,5]]=>3 [[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]]=>7 [[1,3],[2,5],[4]]=>4 [[1,2],[3,5],[4]]=>5 [[1,3],[2,4],[5]]=>8 [[1,2],[3,4],[5]]=>6 [[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]]=>4 [[1,2,5,6],[3,4]]=>2 [[1,3,4,6],[2,5]]=>5 [[1,2,4,6],[3,5]]=>6 [[1,2,3,6],[4,5]]=>3 [[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]]=>4 [[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]]=>9 [[1,2,5],[3,4,6]]=>7 [[1,3,4],[2,5,6]]=>5 [[1,2,4],[3,5,6]]=>6 [[1,2,3],[4,5,6]]=>3 [[1,4,6],[2,5],[3]]=>7 [[1,3,6],[2,5],[4]]=>4 [[1,2,6],[3,5],[4]]=>5 [[1,3,6],[2,4],[5]]=>8 [[1,2,6],[3,4],[5]]=>6 [[1,4,5],[2,6],[3]]=>8 [[1,3,5],[2,6],[4]]=>9 [[1,2,5],[3,6],[4]]=>10 [[1,3,4],[2,6],[5]]=>5 [[1,2,4],[3,6],[5]]=>6 [[1,2,3],[4,6],[5]]=>7 [[1,3,5],[2,4],[6]]=>9 [[1,2,5],[3,4],[6]]=>7 [[1,3,4],[2,5],[6]]=>10 [[1,2,4],[3,5],[6]]=>11 [[1,2,3],[4,5],[6]]=>8 [[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]]=>12 [[1,3],[2,5],[4,6]]=>9 [[1,2],[3,5],[4,6]]=>10 [[1,3],[2,4],[5,6]]=>8 [[1,2],[3,4],[5,6]]=>6 [[1,5],[2,6],[3],[4]]=>11 [[1,4],[2,6],[3],[5]]=>7 [[1,3],[2,6],[4],[5]]=>8 [[1,2],[3,6],[4],[5]]=>9 [[1,4],[2,5],[3],[6]]=>12 [[1,3],[2,5],[4],[6]]=>9 [[1,2],[3,5],[4],[6]]=>10 [[1,3],[2,4],[5],[6]]=>13 [[1,2],[3,4],[5],[6]]=>11 [[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]]=>4 [[1,2,5,6,7],[3,4]]=>2 [[1,3,4,6,7],[2,5]]=>5 [[1,2,4,6,7],[3,5]]=>6 [[1,2,3,6,7],[4,5]]=>3 [[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]]=>4 [[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]]=>5 [[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]]=>9 [[1,2,5,7],[3,4,6]]=>7 [[1,3,4,7],[2,5,6]]=>5 [[1,2,4,7],[3,5,6]]=>6 [[1,2,3,7],[4,5,6]]=>3 [[1,3,5,6],[2,4,7]]=>10 [[1,2,5,6],[3,4,7]]=>8 [[1,3,4,6],[2,5,7]]=>11 [[1,2,4,6],[3,5,7]]=>12 [[1,2,3,6],[4,5,7]]=>9 [[1,3,4,5],[2,6,7]]=>6 [[1,2,4,5],[3,6,7]]=>7 [[1,2,3,5],[4,6,7]]=>8 [[1,2,3,4],[5,6,7]]=>4 [[1,4,6,7],[2,5],[3]]=>7 [[1,3,6,7],[2,5],[4]]=>4 [[1,2,6,7],[3,5],[4]]=>5 [[1,3,6,7],[2,4],[5]]=>8 [[1,2,6,7],[3,4],[5]]=>6 [[1,4,5,7],[2,6],[3]]=>8 [[1,3,5,7],[2,6],[4]]=>9 [[1,2,5,7],[3,6],[4]]=>10 [[1,3,4,7],[2,6],[5]]=>5 [[1,2,4,7],[3,6],[5]]=>6 [[1,2,3,7],[4,6],[5]]=>7 [[1,3,5,7],[2,4],[6]]=>9 [[1,2,5,7],[3,4],[6]]=>7 [[1,3,4,7],[2,5],[6]]=>10 [[1,2,4,7],[3,5],[6]]=>11 [[1,2,3,7],[4,5],[6]]=>8 [[1,4,5,6],[2,7],[3]]=>9 [[1,3,5,6],[2,7],[4]]=>10 [[1,2,5,6],[3,7],[4]]=>11 [[1,3,4,6],[2,7],[5]]=>11 [[1,2,4,6],[3,7],[5]]=>12 [[1,2,3,6],[4,7],[5]]=>13 [[1,3,4,5],[2,7],[6]]=>6 [[1,2,4,5],[3,7],[6]]=>7 [[1,2,3,5],[4,7],[6]]=>8 [[1,2,3,4],[5,7],[6]]=>9 [[1,3,5,6],[2,4],[7]]=>10 [[1,2,5,6],[3,4],[7]]=>8 [[1,3,4,6],[2,5],[7]]=>11 [[1,2,4,6],[3,5],[7]]=>12 [[1,2,3,6],[4,5],[7]]=>9 [[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]]=>10 [[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]]=>13 [[1,3,6],[2,5,7],[4]]=>10 [[1,2,6],[3,5,7],[4]]=>11 [[1,3,6],[2,4,7],[5]]=>14 [[1,2,6],[3,4,7],[5]]=>12 [[1,4,5],[2,6,7],[3]]=>8 [[1,3,5],[2,6,7],[4]]=>9 [[1,2,5],[3,6,7],[4]]=>10 [[1,3,4],[2,6,7],[5]]=>5 [[1,2,4],[3,6,7],[5]]=>6 [[1,2,3],[4,6,7],[5]]=>7 [[1,3,5],[2,4,7],[6]]=>9 [[1,2,5],[3,4,7],[6]]=>7 [[1,3,4],[2,5,7],[6]]=>10 [[1,2,4],[3,5,7],[6]]=>11 [[1,2,3],[4,5,7],[6]]=>8 [[1,3,5],[2,4,6],[7]]=>15 [[1,2,5],[3,4,6],[7]]=>13 [[1,3,4],[2,5,6],[7]]=>11 [[1,2,4],[3,5,6],[7]]=>12 [[1,2,3],[4,5,6],[7]]=>9 [[1,4,7],[2,5],[3,6]]=>12 [[1,3,7],[2,5],[4,6]]=>9 [[1,2,7],[3,5],[4,6]]=>10 [[1,3,7],[2,4],[5,6]]=>8 [[1,2,7],[3,4],[5,6]]=>6 [[1,4,6],[2,5],[3,7]]=>13 [[1,3,6],[2,5],[4,7]]=>10 [[1,2,6],[3,5],[4,7]]=>11 [[1,3,6],[2,4],[5,7]]=>14 [[1,2,6],[3,4],[5,7]]=>12 [[1,4,5],[2,6],[3,7]]=>14 [[1,3,5],[2,6],[4,7]]=>15 [[1,2,5],[3,6],[4,7]]=>16 [[1,3,4],[2,6],[5,7]]=>11 [[1,2,4],[3,6],[5,7]]=>12 [[1,2,3],[4,6],[5,7]]=>13 [[1,3,5],[2,4],[6,7]]=>9 [[1,2,5],[3,4],[6,7]]=>7 [[1,3,4],[2,5],[6,7]]=>10 [[1,2,4],[3,5],[6,7]]=>11 [[1,2,3],[4,5],[6,7]]=>8 [[1,5,7],[2,6],[3],[4]]=>11 [[1,4,7],[2,6],[3],[5]]=>7 [[1,3,7],[2,6],[4],[5]]=>8 [[1,2,7],[3,6],[4],[5]]=>9 [[1,4,7],[2,5],[3],[6]]=>12 [[1,3,7],[2,5],[4],[6]]=>9 [[1,2,7],[3,5],[4],[6]]=>10 [[1,3,7],[2,4],[5],[6]]=>13 [[1,2,7],[3,4],[5],[6]]=>11 [[1,5,6],[2,7],[3],[4]]=>12 [[1,4,6],[2,7],[3],[5]]=>13 [[1,3,6],[2,7],[4],[5]]=>14 [[1,2,6],[3,7],[4],[5]]=>15 [[1,4,5],[2,7],[3],[6]]=>8 [[1,3,5],[2,7],[4],[6]]=>9 [[1,2,5],[3,7],[4],[6]]=>10 [[1,3,4],[2,7],[5],[6]]=>10 [[1,2,4],[3,7],[5],[6]]=>11 [[1,2,3],[4,7],[5],[6]]=>12 [[1,4,6],[2,5],[3],[7]]=>13 [[1,3,6],[2,5],[4],[7]]=>10 [[1,2,6],[3,5],[4],[7]]=>11 [[1,3,6],[2,4],[5],[7]]=>14 [[1,2,6],[3,4],[5],[7]]=>12 [[1,4,5],[2,6],[3],[7]]=>14 [[1,3,5],[2,6],[4],[7]]=>15 [[1,2,5],[3,6],[4],[7]]=>16 [[1,3,4],[2,6],[5],[7]]=>11 [[1,2,4],[3,6],[5],[7]]=>12 [[1,2,3],[4,6],[5],[7]]=>13 [[1,3,5],[2,4],[6],[7]]=>15 [[1,2,5],[3,4],[6],[7]]=>13 [[1,3,4],[2,5],[6],[7]]=>16 [[1,2,4],[3,5],[6],[7]]=>17 [[1,2,3],[4,5],[6],[7]]=>14 [[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]]=>17 [[1,4],[2,6],[3,7],[5]]=>13 [[1,3],[2,6],[4,7],[5]]=>14 [[1,2],[3,6],[4,7],[5]]=>15 [[1,4],[2,5],[3,7],[6]]=>12 [[1,3],[2,5],[4,7],[6]]=>9 [[1,2],[3,5],[4,7],[6]]=>10 [[1,3],[2,4],[5,7],[6]]=>13 [[1,2],[3,4],[5,7],[6]]=>11 [[1,4],[2,5],[3,6],[7]]=>18 [[1,3],[2,5],[4,6],[7]]=>15 [[1,2],[3,5],[4,6],[7]]=>16 [[1,3],[2,4],[5,6],[7]]=>14 [[1,2],[3,4],[5,6],[7]]=>12 [[1,6],[2,7],[3],[4],[5]]=>16 [[1,5],[2,7],[3],[4],[6]]=>11 [[1,4],[2,7],[3],[5],[6]]=>12 [[1,3],[2,7],[4],[5],[6]]=>13 [[1,2],[3,7],[4],[5],[6]]=>14 [[1,5],[2,6],[3],[4],[7]]=>17 [[1,4],[2,6],[3],[5],[7]]=>13 [[1,3],[2,6],[4],[5],[7]]=>14 [[1,2],[3,6],[4],[5],[7]]=>15 [[1,4],[2,5],[3],[6],[7]]=>18 [[1,3],[2,5],[4],[6],[7]]=>15 [[1,2],[3,5],[4],[6],[7]]=>16 [[1,3],[2,4],[5],[6],[7]]=>19 [[1,2],[3,4],[5],[6],[7]]=>17 [[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]]=>4 [[1,2,5,6,7,8],[3,4]]=>2 [[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]]=>3 [[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]]=>4 [[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]]=>5 [[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]]=>6 [[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]]=>9 [[1,2,5,7,8],[3,4,6]]=>7 [[1,3,4,7,8],[2,5,6]]=>5 [[1,2,4,7,8],[3,5,6]]=>6 [[1,2,3,7,8],[4,5,6]]=>3 [[1,3,5,6,8],[2,4,7]]=>10 [[1,2,5,6,8],[3,4,7]]=>8 [[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]]=>9 [[1,3,4,5,8],[2,6,7]]=>6 [[1,2,4,5,8],[3,6,7]]=>7 [[1,2,3,5,8],[4,6,7]]=>8 [[1,2,3,4,8],[5,6,7]]=>4 [[1,3,5,6,7],[2,4,8]]=>11 [[1,2,5,6,7],[3,4,8]]=>9 [[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]]=>10 [[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]]=>11 [[1,3,4,5,6],[2,7,8]]=>7 [[1,2,4,5,6],[3,7,8]]=>8 [[1,2,3,5,6],[4,7,8]]=>9 [[1,2,3,4,6],[5,7,8]]=>10 [[1,2,3,4,5],[6,7,8]]=>5 [[1,4,6,7,8],[2,5],[3]]=>7 [[1,3,6,7,8],[2,5],[4]]=>4 [[1,2,6,7,8],[3,5],[4]]=>5 [[1,3,6,7,8],[2,4],[5]]=>8 [[1,2,6,7,8],[3,4],[5]]=>6 [[1,4,5,7,8],[2,6],[3]]=>8 [[1,3,5,7,8],[2,6],[4]]=>9 [[1,2,5,7,8],[3,6],[4]]=>10 [[1,3,4,7,8],[2,6],[5]]=>5 [[1,2,4,7,8],[3,6],[5]]=>6 [[1,2,3,7,8],[4,6],[5]]=>7 [[1,3,5,7,8],[2,4],[6]]=>9 [[1,2,5,7,8],[3,4],[6]]=>7 [[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]]=>8 [[1,4,5,6,8],[2,7],[3]]=>9 [[1,3,5,6,8],[2,7],[4]]=>10 [[1,2,5,6,8],[3,7],[4]]=>11 [[1,3,4,6,8],[2,7],[5]]=>11 [[1,2,4,6,8],[3,7],[5]]=>12 [[1,2,3,6,8],[4,7],[5]]=>13 [[1,3,4,5,8],[2,7],[6]]=>6 [[1,2,4,5,8],[3,7],[6]]=>7 [[1,2,3,5,8],[4,7],[6]]=>8 [[1,2,3,4,8],[5,7],[6]]=>9 [[1,3,5,6,8],[2,4],[7]]=>10 [[1,2,5,6,8],[3,4],[7]]=>8 [[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]]=>9 [[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]]=>10 [[1,4,5,6,7],[2,8],[3]]=>10 [[1,3,5,6,7],[2,8],[4]]=>11 [[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]]=>13 [[1,2,3,6,7],[4,8],[5]]=>14 [[1,3,4,5,7],[2,8],[6]]=>13 [[1,2,4,5,7],[3,8],[6]]=>14 [[1,2,3,5,7],[4,8],[6]]=>15 [[1,2,3,4,7],[5,8],[6]]=>16 [[1,3,4,5,6],[2,8],[7]]=>7 [[1,2,4,5,6],[3,8],[7]]=>8 [[1,2,3,5,6],[4,8],[7]]=>9 [[1,2,3,4,6],[5,8],[7]]=>10 [[1,2,3,4,5],[6,8],[7]]=>11 [[1,3,5,6,7],[2,4],[8]]=>11 [[1,2,5,6,7],[3,4],[8]]=>9 [[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]]=>10 [[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]]=>11 [[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]]=>12 [[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]]=>16 [[1,2,5,7],[3,4,6,8]]=>14 [[1,3,4,7],[2,5,6,8]]=>12 [[1,2,4,7],[3,5,6,8]]=>13 [[1,2,3,7],[4,5,6,8]]=>10 [[1,3,5,6],[2,4,7,8]]=>10 [[1,2,5,6],[3,4,7,8]]=>8 [[1,3,4,6],[2,5,7,8]]=>11 [[1,2,4,6],[3,5,7,8]]=>12 [[1,2,3,6],[4,5,7,8]]=>9 [[1,3,4,5],[2,6,7,8]]=>6 [[1,2,4,5],[3,6,7,8]]=>7 [[1,2,3,5],[4,6,7,8]]=>8 [[1,2,3,4],[5,6,7,8]]=>4 [[1,4,6,8],[2,5,7],[3]]=>13 [[1,3,6,8],[2,5,7],[4]]=>10 [[1,2,6,8],[3,5,7],[4]]=>11 [[1,3,6,8],[2,4,7],[5]]=>14 [[1,2,6,8],[3,4,7],[5]]=>12 [[1,4,5,8],[2,6,7],[3]]=>8 [[1,3,5,8],[2,6,7],[4]]=>9 [[1,2,5,8],[3,6,7],[4]]=>10 [[1,3,4,8],[2,6,7],[5]]=>5 [[1,2,4,8],[3,6,7],[5]]=>6 [[1,2,3,8],[4,6,7],[5]]=>7 [[1,3,5,8],[2,4,7],[6]]=>9 [[1,2,5,8],[3,4,7],[6]]=>7 [[1,3,4,8],[2,5,7],[6]]=>10 [[1,2,4,8],[3,5,7],[6]]=>11 [[1,2,3,8],[4,5,7],[6]]=>8 [[1,3,5,8],[2,4,6],[7]]=>15 [[1,2,5,8],[3,4,6],[7]]=>13 [[1,3,4,8],[2,5,6],[7]]=>11 [[1,2,4,8],[3,5,6],[7]]=>12 [[1,2,3,8],[4,5,6],[7]]=>9 [[1,4,6,7],[2,5,8],[3]]=>14 [[1,3,6,7],[2,5,8],[4]]=>11 [[1,2,6,7],[3,5,8],[4]]=>12 [[1,3,6,7],[2,4,8],[5]]=>15 [[1,2,6,7],[3,4,8],[5]]=>13 [[1,4,5,7],[2,6,8],[3]]=>15 [[1,3,5,7],[2,6,8],[4]]=>16 [[1,2,5,7],[3,6,8],[4]]=>17 [[1,3,4,7],[2,6,8],[5]]=>12 [[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]]=>16 [[1,2,5,7],[3,4,8],[6]]=>14 [[1,3,4,7],[2,5,8],[6]]=>17 [[1,2,4,7],[3,5,8],[6]]=>18 [[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]]=>11 [[1,3,4,6],[2,7,8],[5]]=>11 [[1,2,4,6],[3,7,8],[5]]=>12 [[1,2,3,6],[4,7,8],[5]]=>13 [[1,3,4,5],[2,7,8],[6]]=>6 [[1,2,4,5],[3,7,8],[6]]=>7 [[1,2,3,5],[4,7,8],[6]]=>8 [[1,2,3,4],[5,7,8],[6]]=>9 [[1,3,5,6],[2,4,8],[7]]=>10 [[1,2,5,6],[3,4,8],[7]]=>8 [[1,3,4,6],[2,5,8],[7]]=>11 [[1,2,4,6],[3,5,8],[7]]=>12 [[1,2,3,6],[4,5,8],[7]]=>9 [[1,3,4,5],[2,6,8],[7]]=>12 [[1,2,4,5],[3,6,8],[7]]=>13 [[1,2,3,5],[4,6,8],[7]]=>14 [[1,2,3,4],[5,6,8],[7]]=>10 [[1,3,5,7],[2,4,6],[8]]=>16 [[1,2,5,7],[3,4,6],[8]]=>14 [[1,3,4,7],[2,5,6],[8]]=>12 [[1,2,4,7],[3,5,6],[8]]=>13 [[1,2,3,7],[4,5,6],[8]]=>10 [[1,3,5,6],[2,4,7],[8]]=>17 [[1,2,5,6],[3,4,7],[8]]=>15 [[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]]=>16 [[1,3,4,5],[2,6,7],[8]]=>13 [[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]]=>11 [[1,4,7,8],[2,5],[3,6]]=>12 [[1,3,7,8],[2,5],[4,6]]=>9 [[1,2,7,8],[3,5],[4,6]]=>10 [[1,3,7,8],[2,4],[5,6]]=>8 [[1,2,7,8],[3,4],[5,6]]=>6 [[1,4,6,8],[2,5],[3,7]]=>13 [[1,3,6,8],[2,5],[4,7]]=>10 [[1,2,6,8],[3,5],[4,7]]=>11 [[1,3,6,8],[2,4],[5,7]]=>14 [[1,2,6,8],[3,4],[5,7]]=>12 [[1,4,5,8],[2,6],[3,7]]=>14 [[1,3,5,8],[2,6],[4,7]]=>15 [[1,2,5,8],[3,6],[4,7]]=>16 [[1,3,4,8],[2,6],[5,7]]=>11 [[1,2,4,8],[3,6],[5,7]]=>12 [[1,2,3,8],[4,6],[5,7]]=>13 [[1,3,5,8],[2,4],[6,7]]=>9 [[1,2,5,8],[3,4],[6,7]]=>7 [[1,3,4,8],[2,5],[6,7]]=>10 [[1,2,4,8],[3,5],[6,7]]=>11 [[1,2,3,8],[4,5],[6,7]]=>8 [[1,4,6,7],[2,5],[3,8]]=>14 [[1,3,6,7],[2,5],[4,8]]=>11 [[1,2,6,7],[3,5],[4,8]]=>12 [[1,3,6,7],[2,4],[5,8]]=>15 [[1,2,6,7],[3,4],[5,8]]=>13 [[1,4,5,7],[2,6],[3,8]]=>15 [[1,3,5,7],[2,6],[4,8]]=>16 [[1,2,5,7],[3,6],[4,8]]=>17 [[1,3,4,7],[2,6],[5,8]]=>12 [[1,2,4,7],[3,6],[5,8]]=>13 [[1,2,3,7],[4,6],[5,8]]=>14 [[1,3,5,7],[2,4],[6,8]]=>16 [[1,2,5,7],[3,4],[6,8]]=>14 [[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]]=>15 [[1,4,5,6],[2,7],[3,8]]=>16 [[1,3,5,6],[2,7],[4,8]]=>17 [[1,2,5,6],[3,7],[4,8]]=>18 [[1,3,4,6],[2,7],[5,8]]=>18 [[1,2,4,6],[3,7],[5,8]]=>19 [[1,2,3,6],[4,7],[5,8]]=>20 [[1,3,4,5],[2,7],[6,8]]=>13 [[1,2,4,5],[3,7],[6,8]]=>14 [[1,2,3,5],[4,7],[6,8]]=>15 [[1,2,3,4],[5,7],[6,8]]=>16 [[1,3,5,6],[2,4],[7,8]]=>10 [[1,2,5,6],[3,4],[7,8]]=>8 [[1,3,4,6],[2,5],[7,8]]=>11 [[1,2,4,6],[3,5],[7,8]]=>12 [[1,2,3,6],[4,5],[7,8]]=>9 [[1,3,4,5],[2,6],[7,8]]=>12 [[1,2,4,5],[3,6],[7,8]]=>13 [[1,2,3,5],[4,6],[7,8]]=>14 [[1,2,3,4],[5,6],[7,8]]=>10 [[1,5,7,8],[2,6],[3],[4]]=>11 [[1,4,7,8],[2,6],[3],[5]]=>7 [[1,3,7,8],[2,6],[4],[5]]=>8 [[1,2,7,8],[3,6],[4],[5]]=>9 [[1,4,7,8],[2,5],[3],[6]]=>12 [[1,3,7,8],[2,5],[4],[6]]=>9 [[1,2,7,8],[3,5],[4],[6]]=>10 [[1,3,7,8],[2,4],[5],[6]]=>13 [[1,2,7,8],[3,4],[5],[6]]=>11 [[1,5,6,8],[2,7],[3],[4]]=>12 [[1,4,6,8],[2,7],[3],[5]]=>13 [[1,3,6,8],[2,7],[4],[5]]=>14 [[1,2,6,8],[3,7],[4],[5]]=>15 [[1,4,5,8],[2,7],[3],[6]]=>8 [[1,3,5,8],[2,7],[4],[6]]=>9 [[1,2,5,8],[3,7],[4],[6]]=>10 [[1,3,4,8],[2,7],[5],[6]]=>10 [[1,2,4,8],[3,7],[5],[6]]=>11 [[1,2,3,8],[4,7],[5],[6]]=>12 [[1,4,6,8],[2,5],[3],[7]]=>13 [[1,3,6,8],[2,5],[4],[7]]=>10 [[1,2,6,8],[3,5],[4],[7]]=>11 [[1,3,6,8],[2,4],[5],[7]]=>14 [[1,2,6,8],[3,4],[5],[7]]=>12 [[1,4,5,8],[2,6],[3],[7]]=>14 [[1,3,5,8],[2,6],[4],[7]]=>15 [[1,2,5,8],[3,6],[4],[7]]=>16 [[1,3,4,8],[2,6],[5],[7]]=>11 [[1,2,4,8],[3,6],[5],[7]]=>12 [[1,2,3,8],[4,6],[5],[7]]=>13 [[1,3,5,8],[2,4],[6],[7]]=>15 [[1,2,5,8],[3,4],[6],[7]]=>13 [[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]]=>14 [[1,5,6,7],[2,8],[3],[4]]=>13 [[1,4,6,7],[2,8],[3],[5]]=>14 [[1,3,6,7],[2,8],[4],[5]]=>15 [[1,2,6,7],[3,8],[4],[5]]=>16 [[1,4,5,7],[2,8],[3],[6]]=>15 [[1,3,5,7],[2,8],[4],[6]]=>16 [[1,2,5,7],[3,8],[4],[6]]=>17 [[1,3,4,7],[2,8],[5],[6]]=>17 [[1,2,4,7],[3,8],[5],[6]]=>18 [[1,2,3,7],[4,8],[5],[6]]=>19 [[1,4,5,6],[2,8],[3],[7]]=>9 [[1,3,5,6],[2,8],[4],[7]]=>10 [[1,2,5,6],[3,8],[4],[7]]=>11 [[1,3,4,6],[2,8],[5],[7]]=>11 [[1,2,4,6],[3,8],[5],[7]]=>12 [[1,2,3,6],[4,8],[5],[7]]=>13 [[1,3,4,5],[2,8],[6],[7]]=>12 [[1,2,4,5],[3,8],[6],[7]]=>13 [[1,2,3,5],[4,8],[6],[7]]=>14 [[1,2,3,4],[5,8],[6],[7]]=>15 [[1,4,6,7],[2,5],[3],[8]]=>14 [[1,3,6,7],[2,5],[4],[8]]=>11 [[1,2,6,7],[3,5],[4],[8]]=>12 [[1,3,6,7],[2,4],[5],[8]]=>15 [[1,2,6,7],[3,4],[5],[8]]=>13 [[1,4,5,7],[2,6],[3],[8]]=>15 [[1,3,5,7],[2,6],[4],[8]]=>16 [[1,2,5,7],[3,6],[4],[8]]=>17 [[1,3,4,7],[2,6],[5],[8]]=>12 [[1,2,4,7],[3,6],[5],[8]]=>13 [[1,2,3,7],[4,6],[5],[8]]=>14 [[1,3,5,7],[2,4],[6],[8]]=>16 [[1,2,5,7],[3,4],[6],[8]]=>14 [[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]]=>15 [[1,4,5,6],[2,7],[3],[8]]=>16 [[1,3,5,6],[2,7],[4],[8]]=>17 [[1,2,5,6],[3,7],[4],[8]]=>18 [[1,3,4,6],[2,7],[5],[8]]=>18 [[1,2,4,6],[3,7],[5],[8]]=>19 [[1,2,3,6],[4,7],[5],[8]]=>20 [[1,3,4,5],[2,7],[6],[8]]=>13 [[1,2,4,5],[3,7],[6],[8]]=>14 [[1,2,3,5],[4,7],[6],[8]]=>15 [[1,2,3,4],[5,7],[6],[8]]=>16 [[1,3,5,6],[2,4],[7],[8]]=>17 [[1,2,5,6],[3,4],[7],[8]]=>15 [[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]]=>16 [[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]]=>17 [[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]]=>19 [[1,3,7],[2,5,8],[4,6]]=>16 [[1,2,7],[3,5,8],[4,6]]=>17 [[1,3,7],[2,4,8],[5,6]]=>15 [[1,2,7],[3,4,8],[5,6]]=>13 [[1,4,6],[2,5,8],[3,7]]=>13 [[1,3,6],[2,5,8],[4,7]]=>10 [[1,2,6],[3,5,8],[4,7]]=>11 [[1,3,6],[2,4,8],[5,7]]=>14 [[1,2,6],[3,4,8],[5,7]]=>12 [[1,4,5],[2,6,8],[3,7]]=>14 [[1,3,5],[2,6,8],[4,7]]=>15 [[1,2,5],[3,6,8],[4,7]]=>16 [[1,3,4],[2,6,8],[5,7]]=>11 [[1,2,4],[3,6,8],[5,7]]=>12 [[1,2,3],[4,6,8],[5,7]]=>13 [[1,3,5],[2,4,8],[6,7]]=>9 [[1,2,5],[3,4,8],[6,7]]=>7 [[1,3,4],[2,5,8],[6,7]]=>10 [[1,2,4],[3,5,8],[6,7]]=>11 [[1,2,3],[4,5,8],[6,7]]=>8 [[1,4,6],[2,5,7],[3,8]]=>20 [[1,3,6],[2,5,7],[4,8]]=>17 [[1,2,6],[3,5,7],[4,8]]=>18 [[1,3,6],[2,4,7],[5,8]]=>21 [[1,2,6],[3,4,7],[5,8]]=>19 [[1,4,5],[2,6,7],[3,8]]=>15 [[1,3,5],[2,6,7],[4,8]]=>16 [[1,2,5],[3,6,7],[4,8]]=>17 [[1,3,4],[2,6,7],[5,8]]=>12 [[1,2,4],[3,6,7],[5,8]]=>13 [[1,2,3],[4,6,7],[5,8]]=>14 [[1,3,5],[2,4,7],[6,8]]=>16 [[1,2,5],[3,4,7],[6,8]]=>14 [[1,3,4],[2,5,7],[6,8]]=>17 [[1,2,4],[3,5,7],[6,8]]=>18 [[1,2,3],[4,5,7],[6,8]]=>15 [[1,3,5],[2,4,6],[7,8]]=>15 [[1,2,5],[3,4,6],[7,8]]=>13 [[1,3,4],[2,5,6],[7,8]]=>11 [[1,2,4],[3,5,6],[7,8]]=>12 [[1,2,3],[4,5,6],[7,8]]=>9 [[1,5,7],[2,6,8],[3],[4]]=>18 [[1,4,7],[2,6,8],[3],[5]]=>14 [[1,3,7],[2,6,8],[4],[5]]=>15 [[1,2,7],[3,6,8],[4],[5]]=>16 [[1,4,7],[2,5,8],[3],[6]]=>19 [[1,3,7],[2,5,8],[4],[6]]=>16 [[1,2,7],[3,5,8],[4],[6]]=>17 [[1,3,7],[2,4,8],[5],[6]]=>20 [[1,2,7],[3,4,8],[5],[6]]=>18 [[1,5,6],[2,7,8],[3],[4]]=>12 [[1,4,6],[2,7,8],[3],[5]]=>13 [[1,3,6],[2,7,8],[4],[5]]=>14 [[1,2,6],[3,7,8],[4],[5]]=>15 [[1,4,5],[2,7,8],[3],[6]]=>8 [[1,3,5],[2,7,8],[4],[6]]=>9 [[1,2,5],[3,7,8],[4],[6]]=>10 [[1,3,4],[2,7,8],[5],[6]]=>10 [[1,2,4],[3,7,8],[5],[6]]=>11 [[1,2,3],[4,7,8],[5],[6]]=>12 [[1,4,6],[2,5,8],[3],[7]]=>13 [[1,3,6],[2,5,8],[4],[7]]=>10 [[1,2,6],[3,5,8],[4],[7]]=>11 [[1,3,6],[2,4,8],[5],[7]]=>14 [[1,2,6],[3,4,8],[5],[7]]=>12 [[1,4,5],[2,6,8],[3],[7]]=>14 [[1,3,5],[2,6,8],[4],[7]]=>15 [[1,2,5],[3,6,8],[4],[7]]=>16 [[1,3,4],[2,6,8],[5],[7]]=>11 [[1,2,4],[3,6,8],[5],[7]]=>12 [[1,2,3],[4,6,8],[5],[7]]=>13 [[1,3,5],[2,4,8],[6],[7]]=>15 [[1,2,5],[3,4,8],[6],[7]]=>13 [[1,3,4],[2,5,8],[6],[7]]=>16 [[1,2,4],[3,5,8],[6],[7]]=>17 [[1,2,3],[4,5,8],[6],[7]]=>14 [[1,4,6],[2,5,7],[3],[8]]=>20 [[1,3,6],[2,5,7],[4],[8]]=>17 [[1,2,6],[3,5,7],[4],[8]]=>18 [[1,3,6],[2,4,7],[5],[8]]=>21 [[1,2,6],[3,4,7],[5],[8]]=>19 [[1,4,5],[2,6,7],[3],[8]]=>15 [[1,3,5],[2,6,7],[4],[8]]=>16 [[1,2,5],[3,6,7],[4],[8]]=>17 [[1,3,4],[2,6,7],[5],[8]]=>12 [[1,2,4],[3,6,7],[5],[8]]=>13 [[1,2,3],[4,6,7],[5],[8]]=>14 [[1,3,5],[2,4,7],[6],[8]]=>16 [[1,2,5],[3,4,7],[6],[8]]=>14 [[1,3,4],[2,5,7],[6],[8]]=>17 [[1,2,4],[3,5,7],[6],[8]]=>18 [[1,2,3],[4,5,7],[6],[8]]=>15 [[1,3,5],[2,4,6],[7],[8]]=>22 [[1,2,5],[3,4,6],[7],[8]]=>20 [[1,3,4],[2,5,6],[7],[8]]=>18 [[1,2,4],[3,5,6],[7],[8]]=>19 [[1,2,3],[4,5,6],[7],[8]]=>16 [[1,5,8],[2,6],[3,7],[4]]=>17 [[1,4,8],[2,6],[3,7],[5]]=>13 [[1,3,8],[2,6],[4,7],[5]]=>14 [[1,2,8],[3,6],[4,7],[5]]=>15 [[1,4,8],[2,5],[3,7],[6]]=>12 [[1,3,8],[2,5],[4,7],[6]]=>9 [[1,2,8],[3,5],[4,7],[6]]=>10 [[1,3,8],[2,4],[5,7],[6]]=>13 [[1,2,8],[3,4],[5,7],[6]]=>11 [[1,4,8],[2,5],[3,6],[7]]=>18 [[1,3,8],[2,5],[4,6],[7]]=>15 [[1,2,8],[3,5],[4,6],[7]]=>16 [[1,3,8],[2,4],[5,6],[7]]=>14 [[1,2,8],[3,4],[5,6],[7]]=>12 [[1,5,7],[2,6],[3,8],[4]]=>18 [[1,4,7],[2,6],[3,8],[5]]=>14 [[1,3,7],[2,6],[4,8],[5]]=>15 [[1,2,7],[3,6],[4,8],[5]]=>16 [[1,4,7],[2,5],[3,8],[6]]=>19 [[1,3,7],[2,5],[4,8],[6]]=>16 [[1,2,7],[3,5],[4,8],[6]]=>17 [[1,3,7],[2,4],[5,8],[6]]=>20 [[1,2,7],[3,4],[5,8],[6]]=>18 [[1,5,6],[2,7],[3,8],[4]]=>19 [[1,4,6],[2,7],[3,8],[5]]=>20 [[1,3,6],[2,7],[4,8],[5]]=>21 [[1,2,6],[3,7],[4,8],[5]]=>22 [[1,4,5],[2,7],[3,8],[6]]=>15 [[1,3,5],[2,7],[4,8],[6]]=>16 [[1,2,5],[3,7],[4,8],[6]]=>17 [[1,3,4],[2,7],[5,8],[6]]=>17 [[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]]=>10 [[1,2,6],[3,5],[4,8],[7]]=>11 [[1,3,6],[2,4],[5,8],[7]]=>14 [[1,2,6],[3,4],[5,8],[7]]=>12 [[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]]=>16 [[1,3,4],[2,6],[5,8],[7]]=>11 [[1,2,4],[3,6],[5,8],[7]]=>12 [[1,2,3],[4,6],[5,8],[7]]=>13 [[1,3,5],[2,4],[6,8],[7]]=>15 [[1,2,5],[3,4],[6,8],[7]]=>13 [[1,3,4],[2,5],[6,8],[7]]=>16 [[1,2,4],[3,5],[6,8],[7]]=>17 [[1,2,3],[4,5],[6,8],[7]]=>14 [[1,4,7],[2,5],[3,6],[8]]=>19 [[1,3,7],[2,5],[4,6],[8]]=>16 [[1,2,7],[3,5],[4,6],[8]]=>17 [[1,3,7],[2,4],[5,6],[8]]=>15 [[1,2,7],[3,4],[5,6],[8]]=>13 [[1,4,6],[2,5],[3,7],[8]]=>20 [[1,3,6],[2,5],[4,7],[8]]=>17 [[1,2,6],[3,5],[4,7],[8]]=>18 [[1,3,6],[2,4],[5,7],[8]]=>21 [[1,2,6],[3,4],[5,7],[8]]=>19 [[1,4,5],[2,6],[3,7],[8]]=>21 [[1,3,5],[2,6],[4,7],[8]]=>22 [[1,2,5],[3,6],[4,7],[8]]=>23 [[1,3,4],[2,6],[5,7],[8]]=>18 [[1,2,4],[3,6],[5,7],[8]]=>19 [[1,2,3],[4,6],[5,7],[8]]=>20 [[1,3,5],[2,4],[6,7],[8]]=>16 [[1,2,5],[3,4],[6,7],[8]]=>14 [[1,3,4],[2,5],[6,7],[8]]=>17 [[1,2,4],[3,5],[6,7],[8]]=>18 [[1,2,3],[4,5],[6,7],[8]]=>15 [[1,6,8],[2,7],[3],[4],[5]]=>16 [[1,5,8],[2,7],[3],[4],[6]]=>11 [[1,4,8],[2,7],[3],[5],[6]]=>12 [[1,3,8],[2,7],[4],[5],[6]]=>13 [[1,2,8],[3,7],[4],[5],[6]]=>14 [[1,5,8],[2,6],[3],[4],[7]]=>17 [[1,4,8],[2,6],[3],[5],[7]]=>13 [[1,3,8],[2,6],[4],[5],[7]]=>14 [[1,2,8],[3,6],[4],[5],[7]]=>15 [[1,4,8],[2,5],[3],[6],[7]]=>18 [[1,3,8],[2,5],[4],[6],[7]]=>15 [[1,2,8],[3,5],[4],[6],[7]]=>16 [[1,3,8],[2,4],[5],[6],[7]]=>19 [[1,2,8],[3,4],[5],[6],[7]]=>17 [[1,6,7],[2,8],[3],[4],[5]]=>17 [[1,5,7],[2,8],[3],[4],[6]]=>18 [[1,4,7],[2,8],[3],[5],[6]]=>19 [[1,3,7],[2,8],[4],[5],[6]]=>20 [[1,2,7],[3,8],[4],[5],[6]]=>21 [[1,5,6],[2,8],[3],[4],[7]]=>12 [[1,4,6],[2,8],[3],[5],[7]]=>13 [[1,3,6],[2,8],[4],[5],[7]]=>14 [[1,2,6],[3,8],[4],[5],[7]]=>15 [[1,4,5],[2,8],[3],[6],[7]]=>14 [[1,3,5],[2,8],[4],[6],[7]]=>15 [[1,2,5],[3,8],[4],[6],[7]]=>16 [[1,3,4],[2,8],[5],[6],[7]]=>16 [[1,2,4],[3,8],[5],[6],[7]]=>17 [[1,2,3],[4,8],[5],[6],[7]]=>18 [[1,5,7],[2,6],[3],[4],[8]]=>18 [[1,4,7],[2,6],[3],[5],[8]]=>14 [[1,3,7],[2,6],[4],[5],[8]]=>15 [[1,2,7],[3,6],[4],[5],[8]]=>16 [[1,4,7],[2,5],[3],[6],[8]]=>19 [[1,3,7],[2,5],[4],[6],[8]]=>16 [[1,2,7],[3,5],[4],[6],[8]]=>17 [[1,3,7],[2,4],[5],[6],[8]]=>20 [[1,2,7],[3,4],[5],[6],[8]]=>18 [[1,5,6],[2,7],[3],[4],[8]]=>19 [[1,4,6],[2,7],[3],[5],[8]]=>20 [[1,3,6],[2,7],[4],[5],[8]]=>21 [[1,2,6],[3,7],[4],[5],[8]]=>22 [[1,4,5],[2,7],[3],[6],[8]]=>15 [[1,3,5],[2,7],[4],[6],[8]]=>16 [[1,2,5],[3,7],[4],[6],[8]]=>17 [[1,3,4],[2,7],[5],[6],[8]]=>17 [[1,2,4],[3,7],[5],[6],[8]]=>18 [[1,2,3],[4,7],[5],[6],[8]]=>19 [[1,4,6],[2,5],[3],[7],[8]]=>20 [[1,3,6],[2,5],[4],[7],[8]]=>17 [[1,2,6],[3,5],[4],[7],[8]]=>18 [[1,3,6],[2,4],[5],[7],[8]]=>21 [[1,2,6],[3,4],[5],[7],[8]]=>19 [[1,4,5],[2,6],[3],[7],[8]]=>21 [[1,3,5],[2,6],[4],[7],[8]]=>22 [[1,2,5],[3,6],[4],[7],[8]]=>23 [[1,3,4],[2,6],[5],[7],[8]]=>18 [[1,2,4],[3,6],[5],[7],[8]]=>19 [[1,2,3],[4,6],[5],[7],[8]]=>20 [[1,3,5],[2,4],[6],[7],[8]]=>22 [[1,2,5],[3,4],[6],[7],[8]]=>20 [[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]]=>21 [[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]]=>24 [[1,4],[2,6],[3,7],[5,8]]=>20 [[1,3],[2,6],[4,7],[5,8]]=>21 [[1,2],[3,6],[4,7],[5,8]]=>22 [[1,4],[2,5],[3,7],[6,8]]=>19 [[1,3],[2,5],[4,7],[6,8]]=>16 [[1,2],[3,5],[4,7],[6,8]]=>17 [[1,3],[2,4],[5,7],[6,8]]=>20 [[1,2],[3,4],[5,7],[6,8]]=>18 [[1,4],[2,5],[3,6],[7,8]]=>18 [[1,3],[2,5],[4,6],[7,8]]=>15 [[1,2],[3,5],[4,6],[7,8]]=>16 [[1,3],[2,4],[5,6],[7,8]]=>14 [[1,2],[3,4],[5,6],[7,8]]=>12 [[1,6],[2,7],[3,8],[4],[5]]=>23 [[1,5],[2,7],[3,8],[4],[6]]=>18 [[1,4],[2,7],[3,8],[5],[6]]=>19 [[1,3],[2,7],[4,8],[5],[6]]=>20 [[1,2],[3,7],[4,8],[5],[6]]=>21 [[1,5],[2,6],[3,8],[4],[7]]=>17 [[1,4],[2,6],[3,8],[5],[7]]=>13 [[1,3],[2,6],[4,8],[5],[7]]=>14 [[1,2],[3,6],[4,8],[5],[7]]=>15 [[1,4],[2,5],[3,8],[6],[7]]=>18 [[1,3],[2,5],[4,8],[6],[7]]=>15 [[1,2],[3,5],[4,8],[6],[7]]=>16 [[1,3],[2,4],[5,8],[6],[7]]=>19 [[1,2],[3,4],[5,8],[6],[7]]=>17 [[1,5],[2,6],[3,7],[4],[8]]=>24 [[1,4],[2,6],[3,7],[5],[8]]=>20 [[1,3],[2,6],[4,7],[5],[8]]=>21 [[1,2],[3,6],[4,7],[5],[8]]=>22 [[1,4],[2,5],[3,7],[6],[8]]=>19 [[1,3],[2,5],[4,7],[6],[8]]=>16 [[1,2],[3,5],[4,7],[6],[8]]=>17 [[1,3],[2,4],[5,7],[6],[8]]=>20 [[1,2],[3,4],[5,7],[6],[8]]=>18 [[1,4],[2,5],[3,6],[7],[8]]=>25 [[1,3],[2,5],[4,6],[7],[8]]=>22 [[1,2],[3,5],[4,6],[7],[8]]=>23 [[1,3],[2,4],[5,6],[7],[8]]=>21 [[1,2],[3,4],[5,6],[7],[8]]=>19 [[1,7],[2,8],[3],[4],[5],[6]]=>22 [[1,6],[2,8],[3],[4],[5],[7]]=>16 [[1,5],[2,8],[3],[4],[6],[7]]=>17 [[1,4],[2,8],[3],[5],[6],[7]]=>18 [[1,3],[2,8],[4],[5],[6],[7]]=>19 [[1,2],[3,8],[4],[5],[6],[7]]=>20 [[1,6],[2,7],[3],[4],[5],[8]]=>23 [[1,5],[2,7],[3],[4],[6],[8]]=>18 [[1,4],[2,7],[3],[5],[6],[8]]=>19 [[1,3],[2,7],[4],[5],[6],[8]]=>20 [[1,2],[3,7],[4],[5],[6],[8]]=>21 [[1,5],[2,6],[3],[4],[7],[8]]=>24 [[1,4],[2,6],[3],[5],[7],[8]]=>20 [[1,3],[2,6],[4],[5],[7],[8]]=>21 [[1,2],[3,6],[4],[5],[7],[8]]=>22 [[1,4],[2,5],[3],[6],[7],[8]]=>25 [[1,3],[2,5],[4],[6],[7],[8]]=>22 [[1,2],[3,5],[4],[6],[7],[8]]=>23 [[1,3],[2,4],[5],[6],[7],[8]]=>26 [[1,2],[3,4],[5],[6],[7],[8]]=>24 [[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]]=>7 [[1,2,3,4,5,6,7],[8],[9]]=>15 [[1,2,3,4,5,6],[7,8,9]]=>6 [[1,2,3,4,5,6],[7,8],[9]]=>14 [[1,2,3,4,5,6],[7],[8],[9]]=>21 [[1,2,3,4,5],[6,7,8,9]]=>5 [[1,2,3,4,5],[6,7,8],[9]]=>13 [[1,2,3,4,5],[6,7],[8,9]]=>12 [[1,2,3,4,5],[6,7],[8],[9]]=>20 [[1,2,3,4,5],[6],[7],[8],[9]]=>26 [[1,2,3,4],[5,6,7,8],[9]]=>12 [[1,2,3,4],[5,6,7],[8,9]]=>11 [[1,2,3,4],[5,6,7],[8],[9]]=>19 [[1,2,3,4],[5,6],[7,8],[9]]=>18 [[1,2,3,4],[5,6],[7],[8],[9]]=>25 [[1,2,3,4],[5],[6],[7],[8],[9]]=>30 [[1,2,3],[4,5,6],[7,8,9]]=>9 [[1,2,3],[4,5,6],[7,8],[9]]=>17 [[1,2,3],[4,5,6],[7],[8],[9]]=>24 [[1,2,3],[4,5],[6,7],[8,9]]=>15 [[1,2,3],[4,5],[6,7],[8],[9]]=>23 [[1,2,3],[4,5],[6],[7],[8],[9]]=>29 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>33 [[1,2],[3,4],[5,6],[7,8],[9]]=>20 [[1,2],[3,4],[5,6],[7],[8],[9]]=>27 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>32 [[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]]=>2 [[1,4,5,6,7,8,9],[2],[3]]=>3 [[1,2,3,7,8,9],[4,5,6]]=>3 [[1,3,6,7,8,9],[2,5],[4]]=>4 [[1,5,6,7,8,9],[2],[3],[4]]=>6 [[1,2,3,4,9],[5,6,7,8]]=>4 [[1,3,4,8,9],[2,6,7],[5]]=>5 [[1,2,7,8,9],[3,4],[5,6]]=>6 [[1,4,7,8,9],[2,6],[3],[5]]=>7 [[1,6,7,8,9],[2],[3],[4],[5]]=>10 [[1,3,4,5],[2,7,8,9],[6]]=>6 [[1,2,5,9],[3,4,8],[6,7]]=>7 [[1,4,5,9],[2,7,8],[3],[6]]=>8 [[1,3,8,9],[2,5],[4,7],[6]]=>9 [[1,5,8,9],[2,7],[3],[4],[6]]=>11 [[1,7,8,9],[2],[3],[4],[5],[6]]=>15 [[1,3,6],[2,5,9],[4,8],[7]]=>10 [[1,5,6],[2,8,9],[3],[4],[7]]=>12 [[1,2,9],[3,4],[5,6],[7,8]]=>12 [[1,4,9],[2,6],[3,8],[5],[7]]=>13 [[1,6,9],[2,8],[3],[4],[5],[7]]=>16 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>21 [[1,3],[2,5],[4,7],[6,9],[8]]=>16 [[1,5],[2,7],[3,9],[4],[6],[8]]=>18 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>22 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28 [[1,4,7,9],[2,5,8],[3,6]]=>19 [[1,5,7,9],[2,6,8],[3],[4]]=>18 [[1,5,8,9],[2,6],[3,7],[4]]=>17 [[1,5,8],[2,6,9],[3,7],[4]]=>25 [[1,2,4,7],[3,5,8],[6,9]]=>26 [[1,2,4,6],[3,5,7],[8],[9]]=>27 [[1,2,3,6],[4,7],[5,8],[9]]=>28 [[1,3,6],[2,4,7],[5,8],[9]]=>29 [[1,2,4,5,8,9],[3,7],[6]]=>7 [[1,2,4,5],[3,7],[6,9],[8]]=>14 [[1,2,5,6,7,8],[3],[4],[9]]=>13 [[1,2,3,4,7,8],[5,6],[9]]=>12 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>29 [[1,7],[2,8],[3,9],[4],[5],[6]]=>30 [[1,7,9],[2,8],[3],[4],[5],[6]]=>22 [[1,6],[2,7],[3,8],[4,9],[5]]=>31 [[1,6,9],[2,7],[3,8],[4],[5]]=>23 [[1,6,8],[2,7,9],[3],[4],[5]]=>24 [[1,6,8,9],[2,7],[3],[4],[5]]=>16 [[1,5,9],[2,6],[3,7],[4,8]]=>24 [[1,5,7,8,9],[2,6],[3],[4]]=>11 [[1,4,7],[2,5,8],[3,6,9]]=>27 [[1,4,7,8,9],[2,5],[3,6]]=>12 [[1,4,6,8],[2,5,7,9],[3]]=>21 [[1,4,6,8,9],[2,5,7],[3]]=>13 [[1,4,6,7,8,9],[2,5],[3]]=>7 [[1,3,5,7,9],[2,4,6,8]]=>16 [[1,3,5,7,8,9],[2,4,6]]=>9 [[1,3,5,6,7,8,9],[2,4]]=>4 [[1,2,3,4,9],[5,6],[7,8]]=>10 [[1,2,9],[3],[4],[5],[6],[7],[8]]=>27 [[1,3],[2,4],[5],[6],[7],[8],[9]]=>34 [[1,4],[2,5],[3,6],[7],[8],[9]]=>33 [[1,2,4],[3,5],[6],[7],[8],[9]]=>32 [[1,5],[2,6],[3,7],[4,8],[9]]=>32 [[1,2,5],[3,6],[4,7],[8],[9]]=>31 [[1,3,5],[2,4,6],[7],[8],[9]]=>30 [[1,2,3,5],[4,6],[7],[8],[9]]=>29 [[1,2,6],[3,7],[4,8],[5,9]]=>30 [[1,2,3,4,6],[5,7],[8],[9]]=>25 [[1,2,3,4,7],[5,8],[6,9]]=>24 [[1,3,5,7],[2,4,6,8],[9]]=>24 [[1,2,3,5,7],[4,6,8],[9]]=>23 [[1,2,3,4,5,7],[6,8],[9]]=>20 [[1,2,4,6,8],[3,5,7,9]]=>20 [[1,2,3,4,6,8],[5,7,9]]=>18 [[1,2,3,4,5,6,8],[7,9]]=>14 [[1,2,4,5,6,7,8,9],[3]]=>2 [[1,2,3,4,7,8,9],[5,6]]=>4 [[1,2,5,6,7,8,9],[3],[4]]=>5 [[1,2,6,7,8,9],[3],[4],[5]]=>9 [[1,2,4,5,6,7],[3,9],[8]]=>9 [[1,2,5,6,9],[3,8],[4],[7]]=>11 [[1,2,7,8,9],[3],[4],[5],[6]]=>14 [[1,2,6,7],[3,9],[4],[5],[8]]=>16 [[1,2,8,9],[3],[4],[5],[6],[7]]=>20 [[1,2,5,6],[3,8],[4],[7],[9]]=>19 [[1,2,7,8],[3],[4],[5],[6],[9]]=>22 [[1,3,5,7,9],[2,4,6,8,10]]=>25 [[1,3,5,7,8],[2,4,6,9,10]]=>17 [[1,3,5,6,9],[2,4,7,8,10]]=>19 [[1,3,5,6,8],[2,4,7,9,10]]=>18 [[1,3,5,6,7],[2,4,8,9,10]]=>11 [[1,3,4,7,9],[2,5,6,8,10]]=>21 [[1,3,4,7,8],[2,5,6,9,10]]=>13 [[1,3,4,6,9],[2,5,7,8,10]]=>20 [[1,3,4,6,8],[2,5,7,9,10]]=>19 [[1,3,4,6,7],[2,5,8,9,10]]=>12 [[1,3,4,5,9],[2,6,7,8,10]]=>15 [[1,3,4,5,8],[2,6,7,9,10]]=>14 [[1,3,4,5,7],[2,6,8,9,10]]=>13 [[1,3,4,5,6],[2,7,8,9,10]]=>7 [[1,2,5,7,9],[3,4,6,8,10]]=>23 [[1,2,5,7,8],[3,4,6,9,10]]=>15 [[1,2,5,6,9],[3,4,7,8,10]]=>17 [[1,2,5,6,8],[3,4,7,9,10]]=>16 [[1,2,5,6,7],[3,4,8,9,10]]=>9 [[1,2,4,7,9],[3,5,6,8,10]]=>22 [[1,2,4,7,8],[3,5,6,9,10]]=>14 [[1,2,4,6,9],[3,5,7,8,10]]=>21 [[1,2,4,6,8],[3,5,7,9,10]]=>20 [[1,2,4,6,7],[3,5,8,9,10]]=>13 [[1,2,4,5,9],[3,6,7,8,10]]=>16 [[1,2,4,5,8],[3,6,7,9,10]]=>15 [[1,2,4,5,7],[3,6,8,9,10]]=>14 [[1,2,4,5,6],[3,7,8,9,10]]=>8 [[1,2,3,7,9],[4,5,6,8,10]]=>19 [[1,2,3,7,8],[4,5,6,9,10]]=>11 [[1,2,3,6,9],[4,5,7,8,10]]=>18 [[1,2,3,6,8],[4,5,7,9,10]]=>17 [[1,2,3,6,7],[4,5,8,9,10]]=>10 [[1,2,3,5,9],[4,6,7,8,10]]=>17 [[1,2,3,5,8],[4,6,7,9,10]]=>16 [[1,2,3,5,7],[4,6,8,9,10]]=>15 [[1,2,3,5,6],[4,7,8,9,10]]=>9 [[1,2,3,4,9],[5,6,7,8,10]]=>13 [[1,2,3,4,8],[5,6,7,9,10]]=>12 [[1,2,3,4,7],[5,6,8,9,10]]=>11 [[1,2,3,4,6],[5,7,8,9,10]]=>10 [[1,2,3,4,5],[6,7,8,9,10]]=>5 [[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]]=>8 [[1,2,3,4,5,6,7,8],[9],[10]]=>17 [[1,2,3,4,5,6,7],[8,9,10]]=>7 [[1,2,3,4,5,6,7],[8,9],[10]]=>16 [[1,2,3,4,5,6,7],[8],[9],[10]]=>24 [[1,2,3,4,5,6],[7,8,9,10]]=>6 [[1,2,3,4,5,6],[7,8,9],[10]]=>15 [[1,2,3,4,5,6],[7,8],[9,10]]=>14 [[1,2,3,4,5,6],[7,8],[9],[10]]=>23 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>30 [[1,2,3,4,5],[6,7,8,9],[10]]=>14 [[1,2,3,4,5],[6,7,8],[9,10]]=>13 [[1,2,3,4,5],[6,7,8],[9],[10]]=>22 [[1,2,3,4,5],[6,7],[8,9],[10]]=>21 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>29 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35 [[1,2,3,4],[5,6,7,8],[9,10]]=>12 [[1,2,3,4],[5,6,7,8],[9],[10]]=>21 [[1,2,3,4],[5,6,7],[8,9,10]]=>11 [[1,2,3,4],[5,6,7],[8,9],[10]]=>20 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>28 [[1,2,3,4],[5,6],[7,8],[9,10]]=>18 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>27 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>34 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39 [[1,2,3],[4,5,6],[7,8,9],[10]]=>18 [[1,2,3],[4,5,6],[7,8],[9,10]]=>17 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>26 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>33 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>24 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>32 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>38 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>20 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>29 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>36 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>41 [[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]]=>2 [[1,4,5,6,7,8,9,10],[2],[3]]=>3 [[1,2,3,7,8,9,10],[4,5,6]]=>3 [[1,3,6,7,8,9,10],[2,5],[4]]=>4 [[1,5,6,7,8,9,10],[2],[3],[4]]=>6 [[1,2,3,4,9,10],[5,6,7,8]]=>4 [[1,3,4,8,9,10],[2,6,7],[5]]=>5 [[1,2,7,8,9,10],[3,4],[5,6]]=>6 [[1,4,7,8,9,10],[2,6],[3],[5]]=>7 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>10 [[1,3,4,5,10],[2,7,8,9],[6]]=>6 [[1,2,5,9,10],[3,4,8],[6,7]]=>7 [[1,4,5,9,10],[2,7,8],[3],[6]]=>8 [[1,3,8,9,10],[2,5],[4,7],[6]]=>9 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>11 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15 [[1,2,5,6],[3,4,9,10],[7,8]]=>8 [[1,4,5,6],[2,8,9,10],[3],[7]]=>9 [[1,2,3,10],[4,5,6],[7,8,9]]=>9 [[1,3,6,10],[2,5,9],[4,8],[7]]=>10 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>12 [[1,2,9,10],[3,4],[5,6],[7,8]]=>12 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>13 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>16 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21 [[1,3,4],[2,6,7],[5,9,10],[8]]=>12 [[1,2,7],[3,4,10],[5,6],[8,9]]=>13 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>14 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>17 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>16 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>18 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>22 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>21 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>24 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>29 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>40 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>32 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>36 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>35 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>26 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>37 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>29 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>32 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>31 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>28 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>35 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>34 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>30 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>22 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>38 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>30 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>33 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>32 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>24 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>34 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>26 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>28 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>27 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>25 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>34 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>33 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>26 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>23 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>36 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>28 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>30 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>29 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>27 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>32 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>31 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>28 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>24 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>31 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>30 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>29 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>25 [[1,2,4,6,8,10],[3,5,7,9]]=>20 [[1,2,3,4,5,6,7,8,10],[9]]=>8 [[1,2,3,4,6,7,8,9,10],[5]]=>4 [[1,2,3,4,5,7,8,9,10],[6]]=>5 [[1,2,3,4,5,6,8,10],[7,9]]=>14 [[1,2,3,5,6,7,8,9,10],[4]]=>3 [[1,2,3,5,6,7,8,10],[4,9]]=>11 [[1,2,3,5,7,8,9,10],[4,6]]=>8 [[1,2,3,5,6,8,9,10],[4,7]]=>9 [[1,2,3,4,6,7,8,10],[5,9]]=>12 [[1,2,3,4,5,8,9,10],[6,7]]=>5 [[1,2,3,4,5,6,8,9,10],[7]]=>6 [[1,2,3,4,6,8,9,10],[5,7]]=>10 [[1,2,3,4,6,8,10],[5,7,9]]=>18 [[1,2,4,5,6,7,8,9,10],[3]]=>2 [[1,2,4,5,6,7,8,10],[3,9]]=>10 [[1,2,4,5,7,8,9,10],[3,6]]=>7 [[1,2,4,5,6,8,9,10],[3,7]]=>8 [[1,2,4,5,6,8,10],[3,7,9]]=>16 [[1,2,4,6,7,8,9,10],[3,5]]=>6 [[1,2,4,6,7,8,10],[3,5,9]]=>14 [[1,2,4,6,8,9,10],[3,5,7]]=>12 [[1,2,4,6,7,9,10],[3,5,8]]=>13 [[1,2,4,5,7,8,10],[3,6,9]]=>15 [[1,2,3,4,5,6,9,10],[7,8]]=>6 [[1,2,3,4,5,6,7,9,10],[8]]=>7 [[1,2,4,5,7,9,10],[3,6,8]]=>14 [[1,2,3,5,6,8,10],[4,7,9]]=>17 [[1,2,3,4,7,8,9,10],[5,6]]=>4 [[1,2,3,4,7,8,10],[5,6,9]]=>12 [[1,2,3,4,6,9,10],[5,7,8]]=>10 [[1,2,3,4,7,9,10],[5,6,8]]=>11 [[1,2,3,4,5,7,8,10],[6,9]]=>13 [[1,2,4,5,6,9,10],[3,7,8]]=>8 [[1,2,4,5,6,7,9,10],[3,8]]=>9 [[1,2,3,4,5,7,9,10],[6,8]]=>12 [[1,2,3,5,7,8,10],[4,6,9]]=>16 [[1,2,3,5,6,9,10],[4,7,8]]=>9 [[1,2,3,5,6,7,9,10],[4,8]]=>10 [[1,2,3,4,6,7,9,10],[5,8]]=>11 [[1,2,3,5,7,9,10],[4,6,8]]=>15 [[1,5,8,10],[2,6,9],[3,7],[4]]=>25 [[1,2,4,7],[3,5,8],[6,9],[10]]=>35 [[1,2,4,5,8,9],[3,7],[6],[10]]=>16 [[1,2,3,7],[4,8],[5,9],[6,10]]=>36 [[1,2,3,5,7,9],[4,6,8,10]]=>24 [[1,2,3,4,5,7,9],[6,8,10]]=>21 [[1,2,3,4,5,6,7,9],[8,10]]=>16 [[1,3,5,7,9,10],[2,4,6,8]]=>16 [[1,3,5,7,8,9,10],[2,4,6]]=>9 [[1,3,5,6,7,8,9,10],[2,4]]=>4 [[1,3,5,7],[2,4,6,8],[9],[10]]=>33 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>39 [[1,3,7],[2,4,8],[5,9],[6,10]]=>37 [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>43 [[1,5,7,9],[2,6,8,10],[3],[4]]=>27 [[1,5,9],[2,6,10],[3,7],[4,8]]=>33 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>41 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>31 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>39 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>37 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>38 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>29 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>30 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>22 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>31 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>32 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>23 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>24 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>16 [[1,5,9,10],[2,6],[3,7],[4,8]]=>24 [[1,5,8],[2,6,9],[3,7,10],[4]]=>34 [[1,5,8,9,10],[2,6],[3,7],[4]]=>17 [[1,5,7,9,10],[2,6,8],[3],[4]]=>18 [[1,5,7,8,9,10],[2,6],[3],[4]]=>11 [[1,4,7,10],[2,5,8],[3,6,9]]=>27 [[1,4,7,9],[2,5,8,10],[3,6]]=>28 [[1,4,7,9,10],[2,5,8],[3,6]]=>19 [[1,4,7,8,9,10],[2,5],[3,6]]=>12 [[1,4,6,8,10],[2,5,7,9],[3]]=>21 [[1,4,6,8,9,10],[2,5,7],[3]]=>13 [[1,4,6,7,8,9,10],[2,5],[3]]=>7 [[1,2,3,4,5,6,10],[7,8,9]]=>6 [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>42 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>41 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>40 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>38 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>39 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>38 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>37 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>36 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>34 [[1,4,7],[2,5,8],[3,6,9],[10]]=>36 [[1,2,3,4,7],[5,8],[6,9],[10]]=>33 [[1,2,3,5,7],[4,6,8],[9],[10]]=>32 [[1,2,3,4,5,7],[6,8],[9],[10]]=>29 [[1,2,5,8],[3,6,9],[4,7,10]]=>33 [[1,3,5,8],[2,4,6,9],[7,10]]=>32 [[1,2,3,5,8],[4,6,9],[7,10]]=>31 [[1,2,3,4,5,8],[6,9],[7,10]]=>28 [[1,2,4,6,8],[3,5,7,9],[10]]=>29 [[1,2,3,4,6,8],[5,7,9],[10]]=>27 [[1,2,3,4,5,6,8],[7,9],[10]]=>23 [[1,2,5,6,7,8,9,10],[3],[4]]=>5 [[1,2,4,5,8,9,10],[3,7],[6]]=>7 [[1,2,6,7,8,9,10],[3],[4],[5]]=>9 [[1,2,4,5,6,7],[3,9,10],[8]]=>9 [[1,2,3,4,9,10],[5,6],[7,8]]=>10 [[1,2,5,6,9,10],[3,8],[4],[7]]=>11 [[1,2,7,8,9,10],[3],[4],[5],[6]]=>14 [[1,2,4,5,6,7,8,9],[3],[10]]=>11 [[1,2,3,4,7,8],[5,6],[9,10]]=>12 [[1,2,5,6,7,8],[3,10],[4],[9]]=>13 [[1,2,4,5,10],[3,7],[6,9],[8]]=>14 [[1,2,6,7,10],[3,9],[4],[5],[8]]=>16 [[1,2,8,9,10],[3],[4],[5],[6],[7]]=>20 [[1,2,6,7,8,9],[3],[4],[5],[10]]=>18 [[1,2,5,6],[3,8],[4,10],[7],[9]]=>19 [[1,2,7,8],[3,10],[4],[5],[6],[9]]=>22 [[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>27 [[1,2,4,5],[3,7],[6,9],[8],[10]]=>23 [[1,2,6,7],[3,9],[4],[5],[8],[10]]=>25 [[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>29 [[1,2,3,4,5],[6,7,8,9],[10,11]]=>14 [[1,2,3,4,5],[6,7,8,9],[10],[11]]=>24 [[1,2,3,4,5],[6,7,8],[9,10,11]]=>13 [[1,2,3,4,5],[6,7,8],[9,10],[11]]=>23 [[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>32 [[1,2,3,4,5],[6,7],[8,9],[10,11]]=>21 [[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>31 [[1,2,3,4],[5,6,7,8],[9,10,11]]=>12 [[1,2,3,4],[5,6,7,8],[9,10],[11]]=>22 [[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>31 [[1,2,3,4],[5,6,7],[8,9,10],[11]]=>21 [[1,2,3,4],[5,6,7],[8,9],[10,11]]=>20 [[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>30 [[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>28 [[1,2,3],[4,5,6],[7,8,9],[10,11]]=>18 [[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>28 [[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>27 [[1,2,5,6,11],[3,4,9,10],[7,8]]=>8 [[1,4,5,6,11],[2,8,9,10],[3],[7]]=>9 [[1,2,3,10,11],[4,5,6],[7,8,9]]=>9 [[1,3,6,10,11],[2,5,9],[4,8],[7]]=>10 [[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>12 [[1,2,9,10,11],[3,4],[5,6],[7,8]]=>12 [[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>13 [[1,2,3,7],[4,5,6,11],[8,9,10]]=>10 [[1,3,6,7],[2,5,10,11],[4,9],[8]]=>11 [[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>13 [[1,3,4,11],[2,6,7],[5,9,10],[8]]=>12 [[1,2,7,11],[3,4,10],[5,6],[8,9]]=>13 [[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>14 [[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>16 [[1,2,5],[3,4,8],[6,7,11],[9,10]]=>15 [[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>16 [[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>17 [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>36 [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>26 [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>28 [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>27 [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>18 [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>30 [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>20 [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>29 [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>28 [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>19 [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>22 [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>21 [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>20 [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>12 [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>32 [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>22 [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>24 [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>23 [[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]]=>31 [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>21 [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>30 [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>29 [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>20 [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>23 [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>22 [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>21 [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>13 [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>26 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>16 [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>25 [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>24 [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>15 [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>24 [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>23 [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>22 [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>14 [[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]]=>17 [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>16 [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>15 [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>8 [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>34 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>24 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>26 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>25 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>16 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>28 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>18 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>27 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>26 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>17 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>20 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>19 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>18 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>10 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>33 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>23 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>25 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>24 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>15 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>32 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>22 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>31 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>30 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>21 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>24 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>23 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>22 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>14 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>27 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>17 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>26 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>25 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>16 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>25 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>24 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>23 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>15 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>19 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>18 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>17 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>16 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>9 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>30 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>20 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>22 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>21 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>12 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>29 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>19 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>28 [[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]]=>18 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>21 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>20 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>19 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>11 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>28 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>18 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>27 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>26 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>17 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>26 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>25 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>24 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>16 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>20 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>19 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>18 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>17 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>10 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>24 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>14 [[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]]=>22 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>13 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>22 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>21 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>20 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>12 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>21 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>20 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>19 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>18 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>11 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>16 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>15 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>14 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>13 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>12 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>6 [[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]]=>16 [[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>14 [[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>25 [[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>35 [[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>24 [[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>23 [[1,2,3,4,5],[6,7,8],[9,10],[11],[12]]=>34 [[1,2,3,4,5],[6,7],[8,9],[10,11],[12]]=>32 [[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>23 [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>22 [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]]=>33 [[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>21 [[1,2,3,4],[5,6,7],[8,9,10],[11],[12]]=>32 [[1,2,3,4],[5,6,7],[8,9],[10,11],[12]]=>31 [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>29 [[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>38 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>30 [[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>8 [[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>10 [[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>11 [[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>13 [[1,3,4,11,12],[2,6,7],[5,9,10],[8]]=>12 [[1,2,7,11,12],[3,4,10],[5,6],[8,9]]=>13 [[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>14 [[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>16 [[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>13 [[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>14 [[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>15 [[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>15 [[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>16 [[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>17 [[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>19 [[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>22 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>50 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>58 [[1,2,3,4,5,6,7,8,9,10,12],[11]]=>10 [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>2 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>51 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>45 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>52 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>50 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>46 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>44 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>53 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>44 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>49 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>56 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>47 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>40 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>52 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>43 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>54 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>45 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>51 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>43 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>48 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>48 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>41 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>54 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>45 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>48 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>39 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>42 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>46 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>46 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>44 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>42 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>42 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>49 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>47 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>51 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>42 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>49 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>40 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>45 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>47 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>38 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>38 [[1,2,4,5,6,7,9,10,11,12],[3,8]]=>9 [[1,2,3,4,5,7,8,9,10,12],[6,11]]=>15 [[1,2,4,5,6,8,9,10,11,12],[3,7]]=>8 [[1,2,4,5,6,7,8,10,11,12],[3,9]]=>10 [[1,2,3,4,6,7,8,9,10,12],[5,11]]=>14 [[1,2,3,4,5,6,8,9,10,12],[7,11]]=>16 [[1,2,4,5,7,8,9,10,11,12],[3,6]]=>7 [[1,2,4,5,6,8,10,11,12],[3,7,9]]=>16 [[1,2,4,5,6,7,8,9,11,12],[3,10]]=>11 [[1,2,3,4,7,8,9,10,11,12],[5,6]]=>4 [[1,2,3,5,6,7,8,9,10,12],[4,11]]=>13 [[1,2,3,4,6,8,9,10,12],[5,7,11]]=>20 [[1,2,3,4,5,6,7,8,11,12],[9,10]]=>8 [[1,2,3,4,5,6,7,9,10,12],[8,11]]=>17 [[1,2,4,6,7,8,9,10,11,12],[3,5]]=>6 [[1,2,4,5,7,8,10,11,12],[3,6,9]]=>15 [[1,2,4,5,6,7,10,11,12],[3,8,9]]=>9 [[1,2,4,5,6,8,9,11,12],[3,7,10]]=>17 [[1,2,4,5,6,7,8,9,10,12],[3,11]]=>12 [[1,2,3,4,7,8,10,11,12],[5,6,9]]=>12 [[1,2,3,5,6,8,9,10,12],[4,7,11]]=>19 [[1,2,3,4,5,6,10,11,12],[7,8,9]]=>6 [[1,2,3,4,5,8,9,10,12],[6,7,11]]=>15 [[1,2,3,4,6,7,8,11,12],[5,9,10]]=>12 [[1,2,3,4,6,7,9,10,12],[5,8,11]]=>21 [[1,2,3,4,5,6,7,8,10,12],[9,11]]=>18 [[1,2,4,6,7,8,10,11,12],[3,5,9]]=>14 [[1,2,4,5,7,9,10,11,12],[3,6,8]]=>14 [[1,2,4,5,7,8,9,11,12],[3,6,10]]=>16 [[1,2,4,5,6,7,9,11,12],[3,8,10]]=>18 [[1,2,4,5,6,8,9,10,12],[3,7,11]]=>18 [[1,2,3,4,7,9,10,11,12],[5,6,8]]=>11 [[1,2,3,4,7,8,9,11,12],[5,6,10]]=>13 [[1,2,3,5,6,9,10,11,12],[4,7,8]]=>9 [[1,2,3,5,7,8,9,10,12],[4,6,11]]=>18 [[1,2,3,5,6,7,8,11,12],[4,9,10]]=>11 [[1,2,3,5,6,7,9,10,12],[4,8,11]]=>20 [[1,2,3,4,5,6,9,11,12],[7,8,10]]=>15 [[1,2,3,4,5,7,8,11,12],[6,9,10]]=>13 [[1,2,3,4,5,7,9,10,12],[6,8,11]]=>22 [[1,2,3,4,6,7,8,10,12],[5,9,11]]=>22 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>39 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>40 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>41 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>42 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>42 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>43 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>43 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>44 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>45 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>37 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>45 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>46 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>38 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>46 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>46 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>43 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>47 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>39 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>36 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>44 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>40 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>48 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>48 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>47 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>48 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>41 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>42 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>40 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>41 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>50 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>50 [[1,2,4,6,8,9,11,12],[3,5,7,10]]=>21 [[1,2,4,6,8,10,11,12],[3,5,7,9]]=>20 [[1,2,3,4,6,9,11,12],[5,7,8,10]]=>19 [[1,2,3,4,6,8,11,12],[5,7,9,10]]=>18 [[1,2,3,5,6,9,11,12],[4,7,8,10]]=>18 [[1,2,4,5,6,9,11,12],[3,7,8,10]]=>17 [[1,2,3,5,6,8,11,12],[4,7,9,10]]=>17 [[1,2,4,5,6,8,11,12],[3,7,9,10]]=>16 [[1,2,4,6,7,8,9,11,12],[3,5,10]]=>15 [[1,2,4,5,7,9,11,12],[3,6,8,10]]=>23 [[1,2,4,5,7,8,11,12],[3,6,9,10]]=>15 [[1,2,3,4,5,6,8,11,12],[7,9,10]]=>14 [[1,2,4,6,7,9,11,12],[3,5,8,10]]=>22 [[1,2,4,6,7,8,11,12],[3,5,9,10]]=>14 [[1,2,3,4,5,8,9,11,12],[6,7,10]]=>14 [[1,2,3,5,7,8,9,11,12],[4,6,10]]=>17 [[1,2,4,6,7,9,10,11,12],[3,5,8]]=>13 [[1,2,3,4,5,7,9,11,12],[6,8,10]]=>21 [[1,2,3,5,7,9,11,12],[4,6,8,10]]=>24 [[1,2,3,5,7,8,11,12],[4,6,9,10]]=>16 [[1,2,3,4,7,9,11,12],[5,6,8,10]]=>20 [[1,2,3,4,7,8,11,12],[5,6,9,10]]=>12 [[1,2,4,6,8,9,10,11,12],[3,5,7]]=>12 [[1,2,3,4,6,7,8,9,11,12],[5,10]]=>13 [[1,2,3,5,6,7,8,9,11,12],[4,10]]=>12 [[1,2,3,4,6,8,9,11,12],[5,7,10]]=>19 [[1,2,3,5,6,8,9,11,12],[4,7,10]]=>18 [[1,2,3,4,6,7,9,11,12],[5,8,10]]=>20 [[1,2,3,5,6,7,9,11,12],[4,8,10]]=>19 [[1,2,4,5,6,7,8,11,12],[3,9,10]]=>10 [[1,2,3,4,6,9,10,11,12],[5,7,8]]=>10 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>36 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>39 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>40 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>46 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>44 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>42 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>49 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>48 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>45 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>43 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>46 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>47 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>45 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>50 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>44 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>52 [[1,2,3,4,5,6,8,10,12],[7,9,11]]=>24 [[1,2,3,5,6,7,8,10,12],[4,9,11]]=>21 [[1,2,4,5,6,7,8,10,12],[3,9,11]]=>20 [[1,2,3,4,7,8,9,10,12],[5,6,11]]=>14 [[1,2,4,6,7,8,9,10,12],[3,5,11]]=>16 [[1,2,3,4,6,8,10,11,12],[5,7,9]]=>18 [[1,2,3,4,6,7,10,11,12],[5,8,9]]=>11 [[1,2,3,4,5,7,10,11,12],[6,8,9]]=>12 [[1,2,3,5,7,9,10,11,12],[4,6,8]]=>15 [[1,2,4,5,7,8,9,10,12],[3,6,11]]=>17 [[1,2,3,4,5,6,8,10,11,12],[7,9]]=>14 [[1,2,3,4,5,8,10,11,12],[6,7,9]]=>13 [[1,2,3,4,5,6,8,9,11,12],[7,10]]=>15 [[1,2,3,5,6,7,10,11,12],[4,8,9]]=>10 [[1,2,3,4,5,6,7,9,11,12],[8,10]]=>16 [[1,2,4,5,6,9,10,11,12],[3,7,8]]=>8 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>44 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>42 [[1,2,3,4,5,6,9,10,12],[7,8,11]]=>16 [[1,2,4,5,6,9,10,12],[3,7,8,11]]=>18 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>32 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>40 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>44 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>38 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>33 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>52 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>35 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>43 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>39 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>34 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>51 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>41 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>49 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>50 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>50 [[1,2,3,4,6,8,10,12],[5,7,9,11]]=>28 [[1,2,3,4,6,9,10,12],[5,7,8,11]]=>20 [[1,2,3,5,7,8,10,11,12],[4,6,9]]=>16 [[1,2,3,4,7,8,10,12],[5,6,9,11]]=>22 [[1,2,3,5,6,8,10,12],[4,7,9,11]]=>27 [[1,2,3,5,7,8,9,10,11,12],[4,6]]=>8 [[1,2,3,5,7,9,10,12],[4,6,8,11]]=>25 [[1,2,3,5,6,8,10,11,12],[4,7,9]]=>17 [[1,2,3,4,7,9,10,12],[5,6,8,11]]=>21 [[1,2,3,5,7,8,10,12],[4,6,9,11]]=>26 [[1,2,3,5,6,8,9,10,11,12],[4,7]]=>9 [[1,2,3,5,6,9,10,12],[4,7,8,11]]=>19 [[1,2,3,5,6,7,8,10,11,12],[4,9]]=>11 [[1,2,3,5,6,7,9,10,11,12],[4,8]]=>10 [[1,2,3,4,6,8,9,10,11,12],[5,7]]=>10 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>35 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>37 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>34 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>36 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>38 [[1,2,4,5,7,8,10,12],[3,6,9,11]]=>25 [[1,2,4,6,7,9,10,12],[3,5,8,11]]=>23 [[1,2,4,5,6,8,10,12],[3,7,9,11]]=>26 [[1,2,4,6,7,8,10,12],[3,5,9,11]]=>24 [[1,2,4,6,8,9,10,12],[3,5,7,11]]=>22 [[1,2,4,6,8,10,12],[3,5,7,9,11]]=>30 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>51 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>46 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>53 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>52 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>47 [[1,2,3,4,5,6,7,8,9,11,12],[10]]=>9 [[1,2,3,4,5,7,8,9,11,12],[6,10]]=>14 [[1,2,3,4,5,6,7,10,11,12],[8,9]]=>7 [[1,2,3,4,5,6,7,8,10,11,12],[9]]=>8 [[1,2,3,4,5,7,8,10,11,12],[6,9]]=>13 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>37 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>41 [[1,2,3,4,5,7,8,10,12],[6,9,11]]=>23 [[1,2,4,5,6,7,9,10,12],[3,8,11]]=>19 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>53 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>54 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>48 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>54 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>49 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>48 [[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 [[1,2,3,4,6,7,8,10,11,12],[5,9]]=>12 [[1,2,3,4,5,6,9,10,11,12],[7,8]]=>6 [[1,2,3,4,6,7,9,10,11,12],[5,8]]=>11 [[1,2,3,4,5,7,9,10,11,12],[6,8]]=>12 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>56 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>60 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>55 [[1,2,3,4,6,7,8,9,10,11,12],[5]]=>4 [[1,2,3,4,5,7,8,9,10,11,12],[6]]=>5 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>57 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>55 [[1,2,3,5,6,7,8,9,10,11,12],[4]]=>3 [[1,2,3,4,5,8,9,10,11,12],[6,7]]=>5 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>36 [[1,2,4,5,7,9,10,12],[3,6,8,11]]=>24 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]]=>26 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>25 [[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>37 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>24 [[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>36 [[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>35 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>23 [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>35 [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>34 [[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>33 [[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>13 [[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>14 [[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>15 [[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>15 [[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>16 [[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>17 [[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>16 [[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>17 [[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>18 [[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>19 [[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>14 [[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>24 [[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>15 [[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>17 [[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>26 [[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>25 [[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>16 [[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>20 [[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>19 [[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>18 [[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>17 [[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>9 [[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>11 [[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>22 [[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>30 [[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>23 [[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>25 [[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>32 [[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>31 [[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>24 [[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>17 [[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>28 [[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>27 [[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>26 [[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>25 [[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>19 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>26 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>39 [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>38 [[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>37 [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>36 [[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>16 [[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>17 [[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>18 [[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>19 [[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>20 [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>40 [[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>20 [[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>17 [[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>28 [[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>18 [[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>21 [[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>20 [[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>19 [[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>10 [[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>27 [[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>36 [[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>28 [[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>31 [[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>30 [[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>29 [[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>22 [[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>25 [[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>11 [[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>33 [[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>21 [[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>34 [[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>32 [[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>22 [[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>20 [[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>28 [[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>12 [[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>37 [[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>23 [[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>31 [[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>13
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Description
The (standard) major index of a standard tableau.
A descent of a standard tableau $T$ is an index $i$ such that $i+1$ appears in a row strictly below the row of $i$. The (standard) major index is the the sum of the descents.
References
[1] Number T(n,k) of standard Young tableaux with n cells and major index k; triangle T(n,k), n>=0, 0<=k<=n*(n-1)/2, read by rows. OEIS:A232439
Code
def statistic(x):
    return x.standard_major_index()
Created
Dec 14, 2015 at 01:34 by Zachariah Neville
Updated
Apr 26, 2018 at 07:28 by Martin Rubey