Identifier
- St000169: Standard tableaux ⟶ ℤ
Values
=>
Cc0007;cc-rep
[]=>0
[[1]]=>0
[[1,2]]=>0
[[1],[2]]=>1
[[1,2,3]]=>0
[[1,3],[2]]=>2
[[1,2],[3]]=>1
[[1],[2],[3]]=>3
[[1,2,3,4]]=>0
[[1,3,4],[2]]=>3
[[1,2,4],[3]]=>2
[[1,2,3],[4]]=>1
[[1,3],[2,4]]=>4
[[1,2],[3,4]]=>2
[[1,4],[2],[3]]=>5
[[1,3],[2],[4]]=>4
[[1,2],[3],[4]]=>3
[[1],[2],[3],[4]]=>6
[[1,2,3,4,5]]=>0
[[1,3,4,5],[2]]=>4
[[1,2,4,5],[3]]=>3
[[1,2,3,5],[4]]=>2
[[1,2,3,4],[5]]=>1
[[1,3,5],[2,4]]=>6
[[1,2,5],[3,4]]=>3
[[1,3,4],[2,5]]=>5
[[1,2,4],[3,5]]=>4
[[1,2,3],[4,5]]=>2
[[1,4,5],[2],[3]]=>7
[[1,3,5],[2],[4]]=>6
[[1,2,5],[3],[4]]=>5
[[1,3,4],[2],[5]]=>5
[[1,2,4],[3],[5]]=>4
[[1,2,3],[4],[5]]=>3
[[1,4],[2,5],[3]]=>8
[[1,3],[2,5],[4]]=>6
[[1,2],[3,5],[4]]=>5
[[1,3],[2,4],[5]]=>7
[[1,2],[3,4],[5]]=>4
[[1,5],[2],[3],[4]]=>9
[[1,4],[2],[3],[5]]=>8
[[1,3],[2],[4],[5]]=>7
[[1,2],[3],[4],[5]]=>6
[[1],[2],[3],[4],[5]]=>10
[[1,2,3,4,5,6]]=>0
[[1,3,4,5,6],[2]]=>5
[[1,2,4,5,6],[3]]=>4
[[1,2,3,5,6],[4]]=>3
[[1,2,3,4,6],[5]]=>2
[[1,2,3,4,5],[6]]=>1
[[1,3,5,6],[2,4]]=>8
[[1,2,5,6],[3,4]]=>4
[[1,3,4,6],[2,5]]=>7
[[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]]=>5
[[1,2,3,5],[4,6]]=>4
[[1,2,3,4],[5,6]]=>2
[[1,4,5,6],[2],[3]]=>9
[[1,3,5,6],[2],[4]]=>8
[[1,2,5,6],[3],[4]]=>7
[[1,3,4,6],[2],[5]]=>7
[[1,2,4,6],[3],[5]]=>6
[[1,2,3,6],[4],[5]]=>5
[[1,3,4,5],[2],[6]]=>6
[[1,2,4,5],[3],[6]]=>5
[[1,2,3,5],[4],[6]]=>4
[[1,2,3,4],[5],[6]]=>3
[[1,3,5],[2,4,6]]=>9
[[1,2,5],[3,4,6]]=>5
[[1,3,4],[2,5,6]]=>7
[[1,2,4],[3,5,6]]=>6
[[1,2,3],[4,5,6]]=>3
[[1,4,6],[2,5],[3]]=>11
[[1,3,6],[2,5],[4]]=>8
[[1,2,6],[3,5],[4]]=>7
[[1,3,6],[2,4],[5]]=>10
[[1,2,6],[3,4],[5]]=>6
[[1,4,5],[2,6],[3]]=>10
[[1,3,5],[2,6],[4]]=>9
[[1,2,5],[3,6],[4]]=>8
[[1,3,4],[2,6],[5]]=>7
[[1,2,4],[3,6],[5]]=>6
[[1,2,3],[4,6],[5]]=>5
[[1,3,5],[2,4],[6]]=>9
[[1,2,5],[3,4],[6]]=>5
[[1,3,4],[2,5],[6]]=>8
[[1,2,4],[3,5],[6]]=>7
[[1,2,3],[4,5],[6]]=>4
[[1,5,6],[2],[3],[4]]=>12
[[1,4,6],[2],[3],[5]]=>11
[[1,3,6],[2],[4],[5]]=>10
[[1,2,6],[3],[4],[5]]=>9
[[1,4,5],[2],[3],[6]]=>10
[[1,3,5],[2],[4],[6]]=>9
[[1,2,5],[3],[4],[6]]=>8
[[1,3,4],[2],[5],[6]]=>8
[[1,2,4],[3],[5],[6]]=>7
[[1,2,3],[4],[5],[6]]=>6
[[1,4],[2,5],[3,6]]=>12
[[1,3],[2,5],[4,6]]=>9
[[1,2],[3,5],[4,6]]=>8
[[1,3],[2,4],[5,6]]=>10
[[1,2],[3,4],[5,6]]=>6
[[1,5],[2,6],[3],[4]]=>13
[[1,4],[2,6],[3],[5]]=>11
[[1,3],[2,6],[4],[5]]=>10
[[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]]=>8
[[1,3],[2,4],[5],[6]]=>11
[[1,2],[3,4],[5],[6]]=>7
[[1,6],[2],[3],[4],[5]]=>14
[[1,5],[2],[3],[4],[6]]=>13
[[1,4],[2],[3],[5],[6]]=>12
[[1,3],[2],[4],[5],[6]]=>11
[[1,2],[3],[4],[5],[6]]=>10
[[1],[2],[3],[4],[5],[6]]=>15
[[1,2,3,4,5,6,7]]=>0
[[1,3,4,5,6,7],[2]]=>6
[[1,2,4,5,6,7],[3]]=>5
[[1,2,3,5,6,7],[4]]=>4
[[1,2,3,4,6,7],[5]]=>3
[[1,2,3,4,5,7],[6]]=>2
[[1,2,3,4,5,6],[7]]=>1
[[1,3,5,6,7],[2,4]]=>10
[[1,2,5,6,7],[3,4]]=>5
[[1,3,4,6,7],[2,5]]=>9
[[1,2,4,6,7],[3,5]]=>8
[[1,2,3,6,7],[4,5]]=>4
[[1,3,4,5,7],[2,6]]=>8
[[1,2,4,5,7],[3,6]]=>7
[[1,2,3,5,7],[4,6]]=>6
[[1,2,3,4,7],[5,6]]=>3
[[1,3,4,5,6],[2,7]]=>7
[[1,2,4,5,6],[3,7]]=>6
[[1,2,3,5,6],[4,7]]=>5
[[1,2,3,4,6],[5,7]]=>4
[[1,2,3,4,5],[6,7]]=>2
[[1,4,5,6,7],[2],[3]]=>11
[[1,3,5,6,7],[2],[4]]=>10
[[1,2,5,6,7],[3],[4]]=>9
[[1,3,4,6,7],[2],[5]]=>9
[[1,2,4,6,7],[3],[5]]=>8
[[1,2,3,6,7],[4],[5]]=>7
[[1,3,4,5,7],[2],[6]]=>8
[[1,2,4,5,7],[3],[6]]=>7
[[1,2,3,5,7],[4],[6]]=>6
[[1,2,3,4,7],[5],[6]]=>5
[[1,3,4,5,6],[2],[7]]=>7
[[1,2,4,5,6],[3],[7]]=>6
[[1,2,3,5,6],[4],[7]]=>5
[[1,2,3,4,6],[5],[7]]=>4
[[1,2,3,4,5],[6],[7]]=>3
[[1,3,5,7],[2,4,6]]=>12
[[1,2,5,7],[3,4,6]]=>7
[[1,3,4,7],[2,5,6]]=>9
[[1,2,4,7],[3,5,6]]=>8
[[1,2,3,7],[4,5,6]]=>4
[[1,3,5,6],[2,4,7]]=>11
[[1,2,5,6],[3,4,7]]=>6
[[1,3,4,6],[2,5,7]]=>10
[[1,2,4,6],[3,5,7]]=>9
[[1,2,3,6],[4,5,7]]=>5
[[1,3,4,5],[2,6,7]]=>8
[[1,2,4,5],[3,6,7]]=>7
[[1,2,3,5],[4,6,7]]=>6
[[1,2,3,4],[5,6,7]]=>3
[[1,4,6,7],[2,5],[3]]=>14
[[1,3,6,7],[2,5],[4]]=>10
[[1,2,6,7],[3,5],[4]]=>9
[[1,3,6,7],[2,4],[5]]=>13
[[1,2,6,7],[3,4],[5]]=>8
[[1,4,5,7],[2,6],[3]]=>13
[[1,3,5,7],[2,6],[4]]=>12
[[1,2,5,7],[3,6],[4]]=>11
[[1,3,4,7],[2,6],[5]]=>9
[[1,2,4,7],[3,6],[5]]=>8
[[1,2,3,7],[4,6],[5]]=>7
[[1,3,5,7],[2,4],[6]]=>12
[[1,2,5,7],[3,4],[6]]=>7
[[1,3,4,7],[2,5],[6]]=>11
[[1,2,4,7],[3,5],[6]]=>10
[[1,2,3,7],[4,5],[6]]=>6
[[1,4,5,6],[2,7],[3]]=>12
[[1,3,5,6],[2,7],[4]]=>11
[[1,2,5,6],[3,7],[4]]=>10
[[1,3,4,6],[2,7],[5]]=>10
[[1,2,4,6],[3,7],[5]]=>9
[[1,2,3,6],[4,7],[5]]=>8
[[1,3,4,5],[2,7],[6]]=>8
[[1,2,4,5],[3,7],[6]]=>7
[[1,2,3,5],[4,7],[6]]=>6
[[1,2,3,4],[5,7],[6]]=>5
[[1,3,5,6],[2,4],[7]]=>11
[[1,2,5,6],[3,4],[7]]=>6
[[1,3,4,6],[2,5],[7]]=>10
[[1,2,4,6],[3,5],[7]]=>9
[[1,2,3,6],[4,5],[7]]=>5
[[1,3,4,5],[2,6],[7]]=>9
[[1,2,4,5],[3,6],[7]]=>8
[[1,2,3,5],[4,6],[7]]=>7
[[1,2,3,4],[5,6],[7]]=>4
[[1,5,6,7],[2],[3],[4]]=>15
[[1,4,6,7],[2],[3],[5]]=>14
[[1,3,6,7],[2],[4],[5]]=>13
[[1,2,6,7],[3],[4],[5]]=>12
[[1,4,5,7],[2],[3],[6]]=>13
[[1,3,5,7],[2],[4],[6]]=>12
[[1,2,5,7],[3],[4],[6]]=>11
[[1,3,4,7],[2],[5],[6]]=>11
[[1,2,4,7],[3],[5],[6]]=>10
[[1,2,3,7],[4],[5],[6]]=>9
[[1,4,5,6],[2],[3],[7]]=>12
[[1,3,5,6],[2],[4],[7]]=>11
[[1,2,5,6],[3],[4],[7]]=>10
[[1,3,4,6],[2],[5],[7]]=>10
[[1,2,4,6],[3],[5],[7]]=>9
[[1,2,3,6],[4],[5],[7]]=>8
[[1,3,4,5],[2],[6],[7]]=>9
[[1,2,4,5],[3],[6],[7]]=>8
[[1,2,3,5],[4],[6],[7]]=>7
[[1,2,3,4],[5],[6],[7]]=>6
[[1,4,6],[2,5,7],[3]]=>15
[[1,3,6],[2,5,7],[4]]=>11
[[1,2,6],[3,5,7],[4]]=>10
[[1,3,6],[2,4,7],[5]]=>14
[[1,2,6],[3,4,7],[5]]=>9
[[1,4,5],[2,6,7],[3]]=>13
[[1,3,5],[2,6,7],[4]]=>12
[[1,2,5],[3,6,7],[4]]=>11
[[1,3,4],[2,6,7],[5]]=>9
[[1,2,4],[3,6,7],[5]]=>8
[[1,2,3],[4,6,7],[5]]=>7
[[1,3,5],[2,4,7],[6]]=>12
[[1,2,5],[3,4,7],[6]]=>7
[[1,3,4],[2,5,7],[6]]=>11
[[1,2,4],[3,5,7],[6]]=>10
[[1,2,3],[4,5,7],[6]]=>6
[[1,3,5],[2,4,6],[7]]=>13
[[1,2,5],[3,4,6],[7]]=>8
[[1,3,4],[2,5,6],[7]]=>10
[[1,2,4],[3,5,6],[7]]=>9
[[1,2,3],[4,5,6],[7]]=>5
[[1,4,7],[2,5],[3,6]]=>16
[[1,3,7],[2,5],[4,6]]=>12
[[1,2,7],[3,5],[4,6]]=>11
[[1,3,7],[2,4],[5,6]]=>13
[[1,2,7],[3,4],[5,6]]=>8
[[1,4,6],[2,5],[3,7]]=>15
[[1,3,6],[2,5],[4,7]]=>11
[[1,2,6],[3,5],[4,7]]=>10
[[1,3,6],[2,4],[5,7]]=>14
[[1,2,6],[3,4],[5,7]]=>9
[[1,4,5],[2,6],[3,7]]=>14
[[1,3,5],[2,6],[4,7]]=>13
[[1,2,5],[3,6],[4,7]]=>12
[[1,3,4],[2,6],[5,7]]=>10
[[1,2,4],[3,6],[5,7]]=>9
[[1,2,3],[4,6],[5,7]]=>8
[[1,3,5],[2,4],[6,7]]=>12
[[1,2,5],[3,4],[6,7]]=>7
[[1,3,4],[2,5],[6,7]]=>11
[[1,2,4],[3,5],[6,7]]=>10
[[1,2,3],[4,5],[6,7]]=>6
[[1,5,7],[2,6],[3],[4]]=>17
[[1,4,7],[2,6],[3],[5]]=>14
[[1,3,7],[2,6],[4],[5]]=>13
[[1,2,7],[3,6],[4],[5]]=>12
[[1,4,7],[2,5],[3],[6]]=>16
[[1,3,7],[2,5],[4],[6]]=>12
[[1,2,7],[3,5],[4],[6]]=>11
[[1,3,7],[2,4],[5],[6]]=>15
[[1,2,7],[3,4],[5],[6]]=>10
[[1,5,6],[2,7],[3],[4]]=>16
[[1,4,6],[2,7],[3],[5]]=>15
[[1,3,6],[2,7],[4],[5]]=>14
[[1,2,6],[3,7],[4],[5]]=>13
[[1,4,5],[2,7],[3],[6]]=>13
[[1,3,5],[2,7],[4],[6]]=>12
[[1,2,5],[3,7],[4],[6]]=>11
[[1,3,4],[2,7],[5],[6]]=>11
[[1,2,4],[3,7],[5],[6]]=>10
[[1,2,3],[4,7],[5],[6]]=>9
[[1,4,6],[2,5],[3],[7]]=>15
[[1,3,6],[2,5],[4],[7]]=>11
[[1,2,6],[3,5],[4],[7]]=>10
[[1,3,6],[2,4],[5],[7]]=>14
[[1,2,6],[3,4],[5],[7]]=>9
[[1,4,5],[2,6],[3],[7]]=>14
[[1,3,5],[2,6],[4],[7]]=>13
[[1,2,5],[3,6],[4],[7]]=>12
[[1,3,4],[2,6],[5],[7]]=>10
[[1,2,4],[3,6],[5],[7]]=>9
[[1,2,3],[4,6],[5],[7]]=>8
[[1,3,5],[2,4],[6],[7]]=>13
[[1,2,5],[3,4],[6],[7]]=>8
[[1,3,4],[2,5],[6],[7]]=>12
[[1,2,4],[3,5],[6],[7]]=>11
[[1,2,3],[4,5],[6],[7]]=>7
[[1,6,7],[2],[3],[4],[5]]=>18
[[1,5,7],[2],[3],[4],[6]]=>17
[[1,4,7],[2],[3],[5],[6]]=>16
[[1,3,7],[2],[4],[5],[6]]=>15
[[1,2,7],[3],[4],[5],[6]]=>14
[[1,5,6],[2],[3],[4],[7]]=>16
[[1,4,6],[2],[3],[5],[7]]=>15
[[1,3,6],[2],[4],[5],[7]]=>14
[[1,2,6],[3],[4],[5],[7]]=>13
[[1,4,5],[2],[3],[6],[7]]=>14
[[1,3,5],[2],[4],[6],[7]]=>13
[[1,2,5],[3],[4],[6],[7]]=>12
[[1,3,4],[2],[5],[6],[7]]=>12
[[1,2,4],[3],[5],[6],[7]]=>11
[[1,2,3],[4],[5],[6],[7]]=>10
[[1,5],[2,6],[3,7],[4]]=>18
[[1,4],[2,6],[3,7],[5]]=>15
[[1,3],[2,6],[4,7],[5]]=>14
[[1,2],[3,6],[4,7],[5]]=>13
[[1,4],[2,5],[3,7],[6]]=>16
[[1,3],[2,5],[4,7],[6]]=>12
[[1,2],[3,5],[4,7],[6]]=>11
[[1,3],[2,4],[5,7],[6]]=>15
[[1,2],[3,4],[5,7],[6]]=>10
[[1,4],[2,5],[3,6],[7]]=>17
[[1,3],[2,5],[4,6],[7]]=>13
[[1,2],[3,5],[4,6],[7]]=>12
[[1,3],[2,4],[5,6],[7]]=>14
[[1,2],[3,4],[5,6],[7]]=>9
[[1,6],[2,7],[3],[4],[5]]=>19
[[1,5],[2,7],[3],[4],[6]]=>17
[[1,4],[2,7],[3],[5],[6]]=>16
[[1,3],[2,7],[4],[5],[6]]=>15
[[1,2],[3,7],[4],[5],[6]]=>14
[[1,5],[2,6],[3],[4],[7]]=>18
[[1,4],[2,6],[3],[5],[7]]=>15
[[1,3],[2,6],[4],[5],[7]]=>14
[[1,2],[3,6],[4],[5],[7]]=>13
[[1,4],[2,5],[3],[6],[7]]=>17
[[1,3],[2,5],[4],[6],[7]]=>13
[[1,2],[3,5],[4],[6],[7]]=>12
[[1,3],[2,4],[5],[6],[7]]=>16
[[1,2],[3,4],[5],[6],[7]]=>11
[[1,7],[2],[3],[4],[5],[6]]=>20
[[1,6],[2],[3],[4],[5],[7]]=>19
[[1,5],[2],[3],[4],[6],[7]]=>18
[[1,4],[2],[3],[5],[6],[7]]=>17
[[1,3],[2],[4],[5],[6],[7]]=>16
[[1,2],[3],[4],[5],[6],[7]]=>15
[[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]]=>7
[[1,2,4,5,6,7,8],[3]]=>6
[[1,2,3,5,6,7,8],[4]]=>5
[[1,2,3,4,6,7,8],[5]]=>4
[[1,2,3,4,5,7,8],[6]]=>3
[[1,2,3,4,5,6,8],[7]]=>2
[[1,2,3,4,5,6,7],[8]]=>1
[[1,3,5,6,7,8],[2,4]]=>12
[[1,2,5,6,7,8],[3,4]]=>6
[[1,3,4,6,7,8],[2,5]]=>11
[[1,2,4,6,7,8],[3,5]]=>10
[[1,2,3,6,7,8],[4,5]]=>5
[[1,3,4,5,7,8],[2,6]]=>10
[[1,2,4,5,7,8],[3,6]]=>9
[[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]]=>9
[[1,2,4,5,6,8],[3,7]]=>8
[[1,2,3,5,6,8],[4,7]]=>7
[[1,2,3,4,6,8],[5,7]]=>6
[[1,2,3,4,5,8],[6,7]]=>3
[[1,3,4,5,6,7],[2,8]]=>8
[[1,2,4,5,6,7],[3,8]]=>7
[[1,2,3,5,6,7],[4,8]]=>6
[[1,2,3,4,6,7],[5,8]]=>5
[[1,2,3,4,5,7],[6,8]]=>4
[[1,2,3,4,5,6],[7,8]]=>2
[[1,4,5,6,7,8],[2],[3]]=>13
[[1,3,5,6,7,8],[2],[4]]=>12
[[1,2,5,6,7,8],[3],[4]]=>11
[[1,3,4,6,7,8],[2],[5]]=>11
[[1,2,4,6,7,8],[3],[5]]=>10
[[1,2,3,6,7,8],[4],[5]]=>9
[[1,3,4,5,7,8],[2],[6]]=>10
[[1,2,4,5,7,8],[3],[6]]=>9
[[1,2,3,5,7,8],[4],[6]]=>8
[[1,2,3,4,7,8],[5],[6]]=>7
[[1,3,4,5,6,8],[2],[7]]=>9
[[1,2,4,5,6,8],[3],[7]]=>8
[[1,2,3,5,6,8],[4],[7]]=>7
[[1,2,3,4,6,8],[5],[7]]=>6
[[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]]=>7
[[1,2,3,5,6,7],[4],[8]]=>6
[[1,2,3,4,6,7],[5],[8]]=>5
[[1,2,3,4,5,7],[6],[8]]=>4
[[1,2,3,4,5,6],[7],[8]]=>3
[[1,3,5,7,8],[2,4,6]]=>15
[[1,2,5,7,8],[3,4,6]]=>9
[[1,3,4,7,8],[2,5,6]]=>11
[[1,2,4,7,8],[3,5,6]]=>10
[[1,2,3,7,8],[4,5,6]]=>5
[[1,3,5,6,8],[2,4,7]]=>14
[[1,2,5,6,8],[3,4,7]]=>8
[[1,3,4,6,8],[2,5,7]]=>13
[[1,2,4,6,8],[3,5,7]]=>12
[[1,2,3,6,8],[4,5,7]]=>7
[[1,3,4,5,8],[2,6,7]]=>10
[[1,2,4,5,8],[3,6,7]]=>9
[[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]]=>13
[[1,2,5,6,7],[3,4,8]]=>7
[[1,3,4,6,7],[2,5,8]]=>12
[[1,2,4,6,7],[3,5,8]]=>11
[[1,2,3,6,7],[4,5,8]]=>6
[[1,3,4,5,7],[2,6,8]]=>11
[[1,2,4,5,7],[3,6,8]]=>10
[[1,2,3,5,7],[4,6,8]]=>9
[[1,2,3,4,7],[5,6,8]]=>5
[[1,3,4,5,6],[2,7,8]]=>9
[[1,2,4,5,6],[3,7,8]]=>8
[[1,2,3,5,6],[4,7,8]]=>7
[[1,2,3,4,6],[5,7,8]]=>6
[[1,2,3,4,5],[6,7,8]]=>3
[[1,4,6,7,8],[2,5],[3]]=>17
[[1,3,6,7,8],[2,5],[4]]=>12
[[1,2,6,7,8],[3,5],[4]]=>11
[[1,3,6,7,8],[2,4],[5]]=>16
[[1,2,6,7,8],[3,4],[5]]=>10
[[1,4,5,7,8],[2,6],[3]]=>16
[[1,3,5,7,8],[2,6],[4]]=>15
[[1,2,5,7,8],[3,6],[4]]=>14
[[1,3,4,7,8],[2,6],[5]]=>11
[[1,2,4,7,8],[3,6],[5]]=>10
[[1,2,3,7,8],[4,6],[5]]=>9
[[1,3,5,7,8],[2,4],[6]]=>15
[[1,2,5,7,8],[3,4],[6]]=>9
[[1,3,4,7,8],[2,5],[6]]=>14
[[1,2,4,7,8],[3,5],[6]]=>13
[[1,2,3,7,8],[4,5],[6]]=>8
[[1,4,5,6,8],[2,7],[3]]=>15
[[1,3,5,6,8],[2,7],[4]]=>14
[[1,2,5,6,8],[3,7],[4]]=>13
[[1,3,4,6,8],[2,7],[5]]=>13
[[1,2,4,6,8],[3,7],[5]]=>12
[[1,2,3,6,8],[4,7],[5]]=>11
[[1,3,4,5,8],[2,7],[6]]=>10
[[1,2,4,5,8],[3,7],[6]]=>9
[[1,2,3,5,8],[4,7],[6]]=>8
[[1,2,3,4,8],[5,7],[6]]=>7
[[1,3,5,6,8],[2,4],[7]]=>14
[[1,2,5,6,8],[3,4],[7]]=>8
[[1,3,4,6,8],[2,5],[7]]=>13
[[1,2,4,6,8],[3,5],[7]]=>12
[[1,2,3,6,8],[4,5],[7]]=>7
[[1,3,4,5,8],[2,6],[7]]=>12
[[1,2,4,5,8],[3,6],[7]]=>11
[[1,2,3,5,8],[4,6],[7]]=>10
[[1,2,3,4,8],[5,6],[7]]=>6
[[1,4,5,6,7],[2,8],[3]]=>14
[[1,3,5,6,7],[2,8],[4]]=>13
[[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]]=>11
[[1,2,3,6,7],[4,8],[5]]=>10
[[1,3,4,5,7],[2,8],[6]]=>11
[[1,2,4,5,7],[3,8],[6]]=>10
[[1,2,3,5,7],[4,8],[6]]=>9
[[1,2,3,4,7],[5,8],[6]]=>8
[[1,3,4,5,6],[2,8],[7]]=>9
[[1,2,4,5,6],[3,8],[7]]=>8
[[1,2,3,5,6],[4,8],[7]]=>7
[[1,2,3,4,6],[5,8],[7]]=>6
[[1,2,3,4,5],[6,8],[7]]=>5
[[1,3,5,6,7],[2,4],[8]]=>13
[[1,2,5,6,7],[3,4],[8]]=>7
[[1,3,4,6,7],[2,5],[8]]=>12
[[1,2,4,6,7],[3,5],[8]]=>11
[[1,2,3,6,7],[4,5],[8]]=>6
[[1,3,4,5,7],[2,6],[8]]=>11
[[1,2,4,5,7],[3,6],[8]]=>10
[[1,2,3,5,7],[4,6],[8]]=>9
[[1,2,3,4,7],[5,6],[8]]=>5
[[1,3,4,5,6],[2,7],[8]]=>10
[[1,2,4,5,6],[3,7],[8]]=>9
[[1,2,3,5,6],[4,7],[8]]=>8
[[1,2,3,4,6],[5,7],[8]]=>7
[[1,2,3,4,5],[6,7],[8]]=>4
[[1,5,6,7,8],[2],[3],[4]]=>18
[[1,4,6,7,8],[2],[3],[5]]=>17
[[1,3,6,7,8],[2],[4],[5]]=>16
[[1,2,6,7,8],[3],[4],[5]]=>15
[[1,4,5,7,8],[2],[3],[6]]=>16
[[1,3,5,7,8],[2],[4],[6]]=>15
[[1,2,5,7,8],[3],[4],[6]]=>14
[[1,3,4,7,8],[2],[5],[6]]=>14
[[1,2,4,7,8],[3],[5],[6]]=>13
[[1,2,3,7,8],[4],[5],[6]]=>12
[[1,4,5,6,8],[2],[3],[7]]=>15
[[1,3,5,6,8],[2],[4],[7]]=>14
[[1,2,5,6,8],[3],[4],[7]]=>13
[[1,3,4,6,8],[2],[5],[7]]=>13
[[1,2,4,6,8],[3],[5],[7]]=>12
[[1,2,3,6,8],[4],[5],[7]]=>11
[[1,3,4,5,8],[2],[6],[7]]=>12
[[1,2,4,5,8],[3],[6],[7]]=>11
[[1,2,3,5,8],[4],[6],[7]]=>10
[[1,2,3,4,8],[5],[6],[7]]=>9
[[1,4,5,6,7],[2],[3],[8]]=>14
[[1,3,5,6,7],[2],[4],[8]]=>13
[[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]]=>11
[[1,2,3,6,7],[4],[5],[8]]=>10
[[1,3,4,5,7],[2],[6],[8]]=>11
[[1,2,4,5,7],[3],[6],[8]]=>10
[[1,2,3,5,7],[4],[6],[8]]=>9
[[1,2,3,4,7],[5],[6],[8]]=>8
[[1,3,4,5,6],[2],[7],[8]]=>10
[[1,2,4,5,6],[3],[7],[8]]=>9
[[1,2,3,5,6],[4],[7],[8]]=>8
[[1,2,3,4,6],[5],[7],[8]]=>7
[[1,2,3,4,5],[6],[7],[8]]=>6
[[1,3,5,7],[2,4,6,8]]=>16
[[1,2,5,7],[3,4,6,8]]=>10
[[1,3,4,7],[2,5,6,8]]=>12
[[1,2,4,7],[3,5,6,8]]=>11
[[1,2,3,7],[4,5,6,8]]=>6
[[1,3,5,6],[2,4,7,8]]=>14
[[1,2,5,6],[3,4,7,8]]=>8
[[1,3,4,6],[2,5,7,8]]=>13
[[1,2,4,6],[3,5,7,8]]=>12
[[1,2,3,6],[4,5,7,8]]=>7
[[1,3,4,5],[2,6,7,8]]=>10
[[1,2,4,5],[3,6,7,8]]=>9
[[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]]=>19
[[1,3,6,8],[2,5,7],[4]]=>14
[[1,2,6,8],[3,5,7],[4]]=>13
[[1,3,6,8],[2,4,7],[5]]=>18
[[1,2,6,8],[3,4,7],[5]]=>12
[[1,4,5,8],[2,6,7],[3]]=>16
[[1,3,5,8],[2,6,7],[4]]=>15
[[1,2,5,8],[3,6,7],[4]]=>14
[[1,3,4,8],[2,6,7],[5]]=>11
[[1,2,4,8],[3,6,7],[5]]=>10
[[1,2,3,8],[4,6,7],[5]]=>9
[[1,3,5,8],[2,4,7],[6]]=>15
[[1,2,5,8],[3,4,7],[6]]=>9
[[1,3,4,8],[2,5,7],[6]]=>14
[[1,2,4,8],[3,5,7],[6]]=>13
[[1,2,3,8],[4,5,7],[6]]=>8
[[1,3,5,8],[2,4,6],[7]]=>17
[[1,2,5,8],[3,4,6],[7]]=>11
[[1,3,4,8],[2,5,6],[7]]=>13
[[1,2,4,8],[3,5,6],[7]]=>12
[[1,2,3,8],[4,5,6],[7]]=>7
[[1,4,6,7],[2,5,8],[3]]=>18
[[1,3,6,7],[2,5,8],[4]]=>13
[[1,2,6,7],[3,5,8],[4]]=>12
[[1,3,6,7],[2,4,8],[5]]=>17
[[1,2,6,7],[3,4,8],[5]]=>11
[[1,4,5,7],[2,6,8],[3]]=>17
[[1,3,5,7],[2,6,8],[4]]=>16
[[1,2,5,7],[3,6,8],[4]]=>15
[[1,3,4,7],[2,6,8],[5]]=>12
[[1,2,4,7],[3,6,8],[5]]=>11
[[1,2,3,7],[4,6,8],[5]]=>10
[[1,3,5,7],[2,4,8],[6]]=>16
[[1,2,5,7],[3,4,8],[6]]=>10
[[1,3,4,7],[2,5,8],[6]]=>15
[[1,2,4,7],[3,5,8],[6]]=>14
[[1,2,3,7],[4,5,8],[6]]=>9
[[1,4,5,6],[2,7,8],[3]]=>15
[[1,3,5,6],[2,7,8],[4]]=>14
[[1,2,5,6],[3,7,8],[4]]=>13
[[1,3,4,6],[2,7,8],[5]]=>13
[[1,2,4,6],[3,7,8],[5]]=>12
[[1,2,3,6],[4,7,8],[5]]=>11
[[1,3,4,5],[2,7,8],[6]]=>10
[[1,2,4,5],[3,7,8],[6]]=>9
[[1,2,3,5],[4,7,8],[6]]=>8
[[1,2,3,4],[5,7,8],[6]]=>7
[[1,3,5,6],[2,4,8],[7]]=>14
[[1,2,5,6],[3,4,8],[7]]=>8
[[1,3,4,6],[2,5,8],[7]]=>13
[[1,2,4,6],[3,5,8],[7]]=>12
[[1,2,3,6],[4,5,8],[7]]=>7
[[1,3,4,5],[2,6,8],[7]]=>12
[[1,2,4,5],[3,6,8],[7]]=>11
[[1,2,3,5],[4,6,8],[7]]=>10
[[1,2,3,4],[5,6,8],[7]]=>6
[[1,3,5,7],[2,4,6],[8]]=>16
[[1,2,5,7],[3,4,6],[8]]=>10
[[1,3,4,7],[2,5,6],[8]]=>12
[[1,2,4,7],[3,5,6],[8]]=>11
[[1,2,3,7],[4,5,6],[8]]=>6
[[1,3,5,6],[2,4,7],[8]]=>15
[[1,2,5,6],[3,4,7],[8]]=>9
[[1,3,4,6],[2,5,7],[8]]=>14
[[1,2,4,6],[3,5,7],[8]]=>13
[[1,2,3,6],[4,5,7],[8]]=>8
[[1,3,4,5],[2,6,7],[8]]=>11
[[1,2,4,5],[3,6,7],[8]]=>10
[[1,2,3,5],[4,6,7],[8]]=>9
[[1,2,3,4],[5,6,7],[8]]=>5
[[1,4,7,8],[2,5],[3,6]]=>20
[[1,3,7,8],[2,5],[4,6]]=>15
[[1,2,7,8],[3,5],[4,6]]=>14
[[1,3,7,8],[2,4],[5,6]]=>16
[[1,2,7,8],[3,4],[5,6]]=>10
[[1,4,6,8],[2,5],[3,7]]=>19
[[1,3,6,8],[2,5],[4,7]]=>14
[[1,2,6,8],[3,5],[4,7]]=>13
[[1,3,6,8],[2,4],[5,7]]=>18
[[1,2,6,8],[3,4],[5,7]]=>12
[[1,4,5,8],[2,6],[3,7]]=>18
[[1,3,5,8],[2,6],[4,7]]=>17
[[1,2,5,8],[3,6],[4,7]]=>16
[[1,3,4,8],[2,6],[5,7]]=>13
[[1,2,4,8],[3,6],[5,7]]=>12
[[1,2,3,8],[4,6],[5,7]]=>11
[[1,3,5,8],[2,4],[6,7]]=>15
[[1,2,5,8],[3,4],[6,7]]=>9
[[1,3,4,8],[2,5],[6,7]]=>14
[[1,2,4,8],[3,5],[6,7]]=>13
[[1,2,3,8],[4,5],[6,7]]=>8
[[1,4,6,7],[2,5],[3,8]]=>18
[[1,3,6,7],[2,5],[4,8]]=>13
[[1,2,6,7],[3,5],[4,8]]=>12
[[1,3,6,7],[2,4],[5,8]]=>17
[[1,2,6,7],[3,4],[5,8]]=>11
[[1,4,5,7],[2,6],[3,8]]=>17
[[1,3,5,7],[2,6],[4,8]]=>16
[[1,2,5,7],[3,6],[4,8]]=>15
[[1,3,4,7],[2,6],[5,8]]=>12
[[1,2,4,7],[3,6],[5,8]]=>11
[[1,2,3,7],[4,6],[5,8]]=>10
[[1,3,5,7],[2,4],[6,8]]=>16
[[1,2,5,7],[3,4],[6,8]]=>10
[[1,3,4,7],[2,5],[6,8]]=>15
[[1,2,4,7],[3,5],[6,8]]=>14
[[1,2,3,7],[4,5],[6,8]]=>9
[[1,4,5,6],[2,7],[3,8]]=>16
[[1,3,5,6],[2,7],[4,8]]=>15
[[1,2,5,6],[3,7],[4,8]]=>14
[[1,3,4,6],[2,7],[5,8]]=>14
[[1,2,4,6],[3,7],[5,8]]=>13
[[1,2,3,6],[4,7],[5,8]]=>12
[[1,3,4,5],[2,7],[6,8]]=>11
[[1,2,4,5],[3,7],[6,8]]=>10
[[1,2,3,5],[4,7],[6,8]]=>9
[[1,2,3,4],[5,7],[6,8]]=>8
[[1,3,5,6],[2,4],[7,8]]=>14
[[1,2,5,6],[3,4],[7,8]]=>8
[[1,3,4,6],[2,5],[7,8]]=>13
[[1,2,4,6],[3,5],[7,8]]=>12
[[1,2,3,6],[4,5],[7,8]]=>7
[[1,3,4,5],[2,6],[7,8]]=>12
[[1,2,4,5],[3,6],[7,8]]=>11
[[1,2,3,5],[4,6],[7,8]]=>10
[[1,2,3,4],[5,6],[7,8]]=>6
[[1,5,7,8],[2,6],[3],[4]]=>21
[[1,4,7,8],[2,6],[3],[5]]=>17
[[1,3,7,8],[2,6],[4],[5]]=>16
[[1,2,7,8],[3,6],[4],[5]]=>15
[[1,4,7,8],[2,5],[3],[6]]=>20
[[1,3,7,8],[2,5],[4],[6]]=>15
[[1,2,7,8],[3,5],[4],[6]]=>14
[[1,3,7,8],[2,4],[5],[6]]=>19
[[1,2,7,8],[3,4],[5],[6]]=>13
[[1,5,6,8],[2,7],[3],[4]]=>20
[[1,4,6,8],[2,7],[3],[5]]=>19
[[1,3,6,8],[2,7],[4],[5]]=>18
[[1,2,6,8],[3,7],[4],[5]]=>17
[[1,4,5,8],[2,7],[3],[6]]=>16
[[1,3,5,8],[2,7],[4],[6]]=>15
[[1,2,5,8],[3,7],[4],[6]]=>14
[[1,3,4,8],[2,7],[5],[6]]=>14
[[1,2,4,8],[3,7],[5],[6]]=>13
[[1,2,3,8],[4,7],[5],[6]]=>12
[[1,4,6,8],[2,5],[3],[7]]=>19
[[1,3,6,8],[2,5],[4],[7]]=>14
[[1,2,6,8],[3,5],[4],[7]]=>13
[[1,3,6,8],[2,4],[5],[7]]=>18
[[1,2,6,8],[3,4],[5],[7]]=>12
[[1,4,5,8],[2,6],[3],[7]]=>18
[[1,3,5,8],[2,6],[4],[7]]=>17
[[1,2,5,8],[3,6],[4],[7]]=>16
[[1,3,4,8],[2,6],[5],[7]]=>13
[[1,2,4,8],[3,6],[5],[7]]=>12
[[1,2,3,8],[4,6],[5],[7]]=>11
[[1,3,5,8],[2,4],[6],[7]]=>17
[[1,2,5,8],[3,4],[6],[7]]=>11
[[1,3,4,8],[2,5],[6],[7]]=>16
[[1,2,4,8],[3,5],[6],[7]]=>15
[[1,2,3,8],[4,5],[6],[7]]=>10
[[1,5,6,7],[2,8],[3],[4]]=>19
[[1,4,6,7],[2,8],[3],[5]]=>18
[[1,3,6,7],[2,8],[4],[5]]=>17
[[1,2,6,7],[3,8],[4],[5]]=>16
[[1,4,5,7],[2,8],[3],[6]]=>17
[[1,3,5,7],[2,8],[4],[6]]=>16
[[1,2,5,7],[3,8],[4],[6]]=>15
[[1,3,4,7],[2,8],[5],[6]]=>15
[[1,2,4,7],[3,8],[5],[6]]=>14
[[1,2,3,7],[4,8],[5],[6]]=>13
[[1,4,5,6],[2,8],[3],[7]]=>15
[[1,3,5,6],[2,8],[4],[7]]=>14
[[1,2,5,6],[3,8],[4],[7]]=>13
[[1,3,4,6],[2,8],[5],[7]]=>13
[[1,2,4,6],[3,8],[5],[7]]=>12
[[1,2,3,6],[4,8],[5],[7]]=>11
[[1,3,4,5],[2,8],[6],[7]]=>12
[[1,2,4,5],[3,8],[6],[7]]=>11
[[1,2,3,5],[4,8],[6],[7]]=>10
[[1,2,3,4],[5,8],[6],[7]]=>9
[[1,4,6,7],[2,5],[3],[8]]=>18
[[1,3,6,7],[2,5],[4],[8]]=>13
[[1,2,6,7],[3,5],[4],[8]]=>12
[[1,3,6,7],[2,4],[5],[8]]=>17
[[1,2,6,7],[3,4],[5],[8]]=>11
[[1,4,5,7],[2,6],[3],[8]]=>17
[[1,3,5,7],[2,6],[4],[8]]=>16
[[1,2,5,7],[3,6],[4],[8]]=>15
[[1,3,4,7],[2,6],[5],[8]]=>12
[[1,2,4,7],[3,6],[5],[8]]=>11
[[1,2,3,7],[4,6],[5],[8]]=>10
[[1,3,5,7],[2,4],[6],[8]]=>16
[[1,2,5,7],[3,4],[6],[8]]=>10
[[1,3,4,7],[2,5],[6],[8]]=>15
[[1,2,4,7],[3,5],[6],[8]]=>14
[[1,2,3,7],[4,5],[6],[8]]=>9
[[1,4,5,6],[2,7],[3],[8]]=>16
[[1,3,5,6],[2,7],[4],[8]]=>15
[[1,2,5,6],[3,7],[4],[8]]=>14
[[1,3,4,6],[2,7],[5],[8]]=>14
[[1,2,4,6],[3,7],[5],[8]]=>13
[[1,2,3,6],[4,7],[5],[8]]=>12
[[1,3,4,5],[2,7],[6],[8]]=>11
[[1,2,4,5],[3,7],[6],[8]]=>10
[[1,2,3,5],[4,7],[6],[8]]=>9
[[1,2,3,4],[5,7],[6],[8]]=>8
[[1,3,5,6],[2,4],[7],[8]]=>15
[[1,2,5,6],[3,4],[7],[8]]=>9
[[1,3,4,6],[2,5],[7],[8]]=>14
[[1,2,4,6],[3,5],[7],[8]]=>13
[[1,2,3,6],[4,5],[7],[8]]=>8
[[1,3,4,5],[2,6],[7],[8]]=>13
[[1,2,4,5],[3,6],[7],[8]]=>12
[[1,2,3,5],[4,6],[7],[8]]=>11
[[1,2,3,4],[5,6],[7],[8]]=>7
[[1,6,7,8],[2],[3],[4],[5]]=>22
[[1,5,7,8],[2],[3],[4],[6]]=>21
[[1,4,7,8],[2],[3],[5],[6]]=>20
[[1,3,7,8],[2],[4],[5],[6]]=>19
[[1,2,7,8],[3],[4],[5],[6]]=>18
[[1,5,6,8],[2],[3],[4],[7]]=>20
[[1,4,6,8],[2],[3],[5],[7]]=>19
[[1,3,6,8],[2],[4],[5],[7]]=>18
[[1,2,6,8],[3],[4],[5],[7]]=>17
[[1,4,5,8],[2],[3],[6],[7]]=>18
[[1,3,5,8],[2],[4],[6],[7]]=>17
[[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]]=>15
[[1,2,3,8],[4],[5],[6],[7]]=>14
[[1,5,6,7],[2],[3],[4],[8]]=>19
[[1,4,6,7],[2],[3],[5],[8]]=>18
[[1,3,6,7],[2],[4],[5],[8]]=>17
[[1,2,6,7],[3],[4],[5],[8]]=>16
[[1,4,5,7],[2],[3],[6],[8]]=>17
[[1,3,5,7],[2],[4],[6],[8]]=>16
[[1,2,5,7],[3],[4],[6],[8]]=>15
[[1,3,4,7],[2],[5],[6],[8]]=>15
[[1,2,4,7],[3],[5],[6],[8]]=>14
[[1,2,3,7],[4],[5],[6],[8]]=>13
[[1,4,5,6],[2],[3],[7],[8]]=>16
[[1,3,5,6],[2],[4],[7],[8]]=>15
[[1,2,5,6],[3],[4],[7],[8]]=>14
[[1,3,4,6],[2],[5],[7],[8]]=>14
[[1,2,4,6],[3],[5],[7],[8]]=>13
[[1,2,3,6],[4],[5],[7],[8]]=>12
[[1,3,4,5],[2],[6],[7],[8]]=>13
[[1,2,4,5],[3],[6],[7],[8]]=>12
[[1,2,3,5],[4],[6],[7],[8]]=>11
[[1,2,3,4],[5],[6],[7],[8]]=>10
[[1,4,7],[2,5,8],[3,6]]=>21
[[1,3,7],[2,5,8],[4,6]]=>16
[[1,2,7],[3,5,8],[4,6]]=>15
[[1,3,7],[2,4,8],[5,6]]=>17
[[1,2,7],[3,4,8],[5,6]]=>11
[[1,4,6],[2,5,8],[3,7]]=>19
[[1,3,6],[2,5,8],[4,7]]=>14
[[1,2,6],[3,5,8],[4,7]]=>13
[[1,3,6],[2,4,8],[5,7]]=>18
[[1,2,6],[3,4,8],[5,7]]=>12
[[1,4,5],[2,6,8],[3,7]]=>18
[[1,3,5],[2,6,8],[4,7]]=>17
[[1,2,5],[3,6,8],[4,7]]=>16
[[1,3,4],[2,6,8],[5,7]]=>13
[[1,2,4],[3,6,8],[5,7]]=>12
[[1,2,3],[4,6,8],[5,7]]=>11
[[1,3,5],[2,4,8],[6,7]]=>15
[[1,2,5],[3,4,8],[6,7]]=>9
[[1,3,4],[2,5,8],[6,7]]=>14
[[1,2,4],[3,5,8],[6,7]]=>13
[[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]]=>15
[[1,2,6],[3,5,7],[4,8]]=>14
[[1,3,6],[2,4,7],[5,8]]=>19
[[1,2,6],[3,4,7],[5,8]]=>13
[[1,4,5],[2,6,7],[3,8]]=>17
[[1,3,5],[2,6,7],[4,8]]=>16
[[1,2,5],[3,6,7],[4,8]]=>15
[[1,3,4],[2,6,7],[5,8]]=>12
[[1,2,4],[3,6,7],[5,8]]=>11
[[1,2,3],[4,6,7],[5,8]]=>10
[[1,3,5],[2,4,7],[6,8]]=>16
[[1,2,5],[3,4,7],[6,8]]=>10
[[1,3,4],[2,5,7],[6,8]]=>15
[[1,2,4],[3,5,7],[6,8]]=>14
[[1,2,3],[4,5,7],[6,8]]=>9
[[1,3,5],[2,4,6],[7,8]]=>17
[[1,2,5],[3,4,6],[7,8]]=>11
[[1,3,4],[2,5,6],[7,8]]=>13
[[1,2,4],[3,5,6],[7,8]]=>12
[[1,2,3],[4,5,6],[7,8]]=>7
[[1,5,7],[2,6,8],[3],[4]]=>22
[[1,4,7],[2,6,8],[3],[5]]=>18
[[1,3,7],[2,6,8],[4],[5]]=>17
[[1,2,7],[3,6,8],[4],[5]]=>16
[[1,4,7],[2,5,8],[3],[6]]=>21
[[1,3,7],[2,5,8],[4],[6]]=>16
[[1,2,7],[3,5,8],[4],[6]]=>15
[[1,3,7],[2,4,8],[5],[6]]=>20
[[1,2,7],[3,4,8],[5],[6]]=>14
[[1,5,6],[2,7,8],[3],[4]]=>20
[[1,4,6],[2,7,8],[3],[5]]=>19
[[1,3,6],[2,7,8],[4],[5]]=>18
[[1,2,6],[3,7,8],[4],[5]]=>17
[[1,4,5],[2,7,8],[3],[6]]=>16
[[1,3,5],[2,7,8],[4],[6]]=>15
[[1,2,5],[3,7,8],[4],[6]]=>14
[[1,3,4],[2,7,8],[5],[6]]=>14
[[1,2,4],[3,7,8],[5],[6]]=>13
[[1,2,3],[4,7,8],[5],[6]]=>12
[[1,4,6],[2,5,8],[3],[7]]=>19
[[1,3,6],[2,5,8],[4],[7]]=>14
[[1,2,6],[3,5,8],[4],[7]]=>13
[[1,3,6],[2,4,8],[5],[7]]=>18
[[1,2,6],[3,4,8],[5],[7]]=>12
[[1,4,5],[2,6,8],[3],[7]]=>18
[[1,3,5],[2,6,8],[4],[7]]=>17
[[1,2,5],[3,6,8],[4],[7]]=>16
[[1,3,4],[2,6,8],[5],[7]]=>13
[[1,2,4],[3,6,8],[5],[7]]=>12
[[1,2,3],[4,6,8],[5],[7]]=>11
[[1,3,5],[2,4,8],[6],[7]]=>17
[[1,2,5],[3,4,8],[6],[7]]=>11
[[1,3,4],[2,5,8],[6],[7]]=>16
[[1,2,4],[3,5,8],[6],[7]]=>15
[[1,2,3],[4,5,8],[6],[7]]=>10
[[1,4,6],[2,5,7],[3],[8]]=>20
[[1,3,6],[2,5,7],[4],[8]]=>15
[[1,2,6],[3,5,7],[4],[8]]=>14
[[1,3,6],[2,4,7],[5],[8]]=>19
[[1,2,6],[3,4,7],[5],[8]]=>13
[[1,4,5],[2,6,7],[3],[8]]=>17
[[1,3,5],[2,6,7],[4],[8]]=>16
[[1,2,5],[3,6,7],[4],[8]]=>15
[[1,3,4],[2,6,7],[5],[8]]=>12
[[1,2,4],[3,6,7],[5],[8]]=>11
[[1,2,3],[4,6,7],[5],[8]]=>10
[[1,3,5],[2,4,7],[6],[8]]=>16
[[1,2,5],[3,4,7],[6],[8]]=>10
[[1,3,4],[2,5,7],[6],[8]]=>15
[[1,2,4],[3,5,7],[6],[8]]=>14
[[1,2,3],[4,5,7],[6],[8]]=>9
[[1,3,5],[2,4,6],[7],[8]]=>18
[[1,2,5],[3,4,6],[7],[8]]=>12
[[1,3,4],[2,5,6],[7],[8]]=>14
[[1,2,4],[3,5,6],[7],[8]]=>13
[[1,2,3],[4,5,6],[7],[8]]=>8
[[1,5,8],[2,6],[3,7],[4]]=>23
[[1,4,8],[2,6],[3,7],[5]]=>19
[[1,3,8],[2,6],[4,7],[5]]=>18
[[1,2,8],[3,6],[4,7],[5]]=>17
[[1,4,8],[2,5],[3,7],[6]]=>20
[[1,3,8],[2,5],[4,7],[6]]=>15
[[1,2,8],[3,5],[4,7],[6]]=>14
[[1,3,8],[2,4],[5,7],[6]]=>19
[[1,2,8],[3,4],[5,7],[6]]=>13
[[1,4,8],[2,5],[3,6],[7]]=>22
[[1,3,8],[2,5],[4,6],[7]]=>17
[[1,2,8],[3,5],[4,6],[7]]=>16
[[1,3,8],[2,4],[5,6],[7]]=>18
[[1,2,8],[3,4],[5,6],[7]]=>12
[[1,5,7],[2,6],[3,8],[4]]=>22
[[1,4,7],[2,6],[3,8],[5]]=>18
[[1,3,7],[2,6],[4,8],[5]]=>17
[[1,2,7],[3,6],[4,8],[5]]=>16
[[1,4,7],[2,5],[3,8],[6]]=>21
[[1,3,7],[2,5],[4,8],[6]]=>16
[[1,2,7],[3,5],[4,8],[6]]=>15
[[1,3,7],[2,4],[5,8],[6]]=>20
[[1,2,7],[3,4],[5,8],[6]]=>14
[[1,5,6],[2,7],[3,8],[4]]=>21
[[1,4,6],[2,7],[3,8],[5]]=>20
[[1,3,6],[2,7],[4,8],[5]]=>19
[[1,2,6],[3,7],[4,8],[5]]=>18
[[1,4,5],[2,7],[3,8],[6]]=>17
[[1,3,5],[2,7],[4,8],[6]]=>16
[[1,2,5],[3,7],[4,8],[6]]=>15
[[1,3,4],[2,7],[5,8],[6]]=>15
[[1,2,4],[3,7],[5,8],[6]]=>14
[[1,2,3],[4,7],[5,8],[6]]=>13
[[1,4,6],[2,5],[3,8],[7]]=>19
[[1,3,6],[2,5],[4,8],[7]]=>14
[[1,2,6],[3,5],[4,8],[7]]=>13
[[1,3,6],[2,4],[5,8],[7]]=>18
[[1,2,6],[3,4],[5,8],[7]]=>12
[[1,4,5],[2,6],[3,8],[7]]=>18
[[1,3,5],[2,6],[4,8],[7]]=>17
[[1,2,5],[3,6],[4,8],[7]]=>16
[[1,3,4],[2,6],[5,8],[7]]=>13
[[1,2,4],[3,6],[5,8],[7]]=>12
[[1,2,3],[4,6],[5,8],[7]]=>11
[[1,3,5],[2,4],[6,8],[7]]=>17
[[1,2,5],[3,4],[6,8],[7]]=>11
[[1,3,4],[2,5],[6,8],[7]]=>16
[[1,2,4],[3,5],[6,8],[7]]=>15
[[1,2,3],[4,5],[6,8],[7]]=>10
[[1,4,7],[2,5],[3,6],[8]]=>21
[[1,3,7],[2,5],[4,6],[8]]=>16
[[1,2,7],[3,5],[4,6],[8]]=>15
[[1,3,7],[2,4],[5,6],[8]]=>17
[[1,2,7],[3,4],[5,6],[8]]=>11
[[1,4,6],[2,5],[3,7],[8]]=>20
[[1,3,6],[2,5],[4,7],[8]]=>15
[[1,2,6],[3,5],[4,7],[8]]=>14
[[1,3,6],[2,4],[5,7],[8]]=>19
[[1,2,6],[3,4],[5,7],[8]]=>13
[[1,4,5],[2,6],[3,7],[8]]=>19
[[1,3,5],[2,6],[4,7],[8]]=>18
[[1,2,5],[3,6],[4,7],[8]]=>17
[[1,3,4],[2,6],[5,7],[8]]=>14
[[1,2,4],[3,6],[5,7],[8]]=>13
[[1,2,3],[4,6],[5,7],[8]]=>12
[[1,3,5],[2,4],[6,7],[8]]=>16
[[1,2,5],[3,4],[6,7],[8]]=>10
[[1,3,4],[2,5],[6,7],[8]]=>15
[[1,2,4],[3,5],[6,7],[8]]=>14
[[1,2,3],[4,5],[6,7],[8]]=>9
[[1,6,8],[2,7],[3],[4],[5]]=>24
[[1,5,8],[2,7],[3],[4],[6]]=>21
[[1,4,8],[2,7],[3],[5],[6]]=>20
[[1,3,8],[2,7],[4],[5],[6]]=>19
[[1,2,8],[3,7],[4],[5],[6]]=>18
[[1,5,8],[2,6],[3],[4],[7]]=>23
[[1,4,8],[2,6],[3],[5],[7]]=>19
[[1,3,8],[2,6],[4],[5],[7]]=>18
[[1,2,8],[3,6],[4],[5],[7]]=>17
[[1,4,8],[2,5],[3],[6],[7]]=>22
[[1,3,8],[2,5],[4],[6],[7]]=>17
[[1,2,8],[3,5],[4],[6],[7]]=>16
[[1,3,8],[2,4],[5],[6],[7]]=>21
[[1,2,8],[3,4],[5],[6],[7]]=>15
[[1,6,7],[2,8],[3],[4],[5]]=>23
[[1,5,7],[2,8],[3],[4],[6]]=>22
[[1,4,7],[2,8],[3],[5],[6]]=>21
[[1,3,7],[2,8],[4],[5],[6]]=>20
[[1,2,7],[3,8],[4],[5],[6]]=>19
[[1,5,6],[2,8],[3],[4],[7]]=>20
[[1,4,6],[2,8],[3],[5],[7]]=>19
[[1,3,6],[2,8],[4],[5],[7]]=>18
[[1,2,6],[3,8],[4],[5],[7]]=>17
[[1,4,5],[2,8],[3],[6],[7]]=>18
[[1,3,5],[2,8],[4],[6],[7]]=>17
[[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]]=>15
[[1,2,3],[4,8],[5],[6],[7]]=>14
[[1,5,7],[2,6],[3],[4],[8]]=>22
[[1,4,7],[2,6],[3],[5],[8]]=>18
[[1,3,7],[2,6],[4],[5],[8]]=>17
[[1,2,7],[3,6],[4],[5],[8]]=>16
[[1,4,7],[2,5],[3],[6],[8]]=>21
[[1,3,7],[2,5],[4],[6],[8]]=>16
[[1,2,7],[3,5],[4],[6],[8]]=>15
[[1,3,7],[2,4],[5],[6],[8]]=>20
[[1,2,7],[3,4],[5],[6],[8]]=>14
[[1,5,6],[2,7],[3],[4],[8]]=>21
[[1,4,6],[2,7],[3],[5],[8]]=>20
[[1,3,6],[2,7],[4],[5],[8]]=>19
[[1,2,6],[3,7],[4],[5],[8]]=>18
[[1,4,5],[2,7],[3],[6],[8]]=>17
[[1,3,5],[2,7],[4],[6],[8]]=>16
[[1,2,5],[3,7],[4],[6],[8]]=>15
[[1,3,4],[2,7],[5],[6],[8]]=>15
[[1,2,4],[3,7],[5],[6],[8]]=>14
[[1,2,3],[4,7],[5],[6],[8]]=>13
[[1,4,6],[2,5],[3],[7],[8]]=>20
[[1,3,6],[2,5],[4],[7],[8]]=>15
[[1,2,6],[3,5],[4],[7],[8]]=>14
[[1,3,6],[2,4],[5],[7],[8]]=>19
[[1,2,6],[3,4],[5],[7],[8]]=>13
[[1,4,5],[2,6],[3],[7],[8]]=>19
[[1,3,5],[2,6],[4],[7],[8]]=>18
[[1,2,5],[3,6],[4],[7],[8]]=>17
[[1,3,4],[2,6],[5],[7],[8]]=>14
[[1,2,4],[3,6],[5],[7],[8]]=>13
[[1,2,3],[4,6],[5],[7],[8]]=>12
[[1,3,5],[2,4],[6],[7],[8]]=>18
[[1,2,5],[3,4],[6],[7],[8]]=>12
[[1,3,4],[2,5],[6],[7],[8]]=>17
[[1,2,4],[3,5],[6],[7],[8]]=>16
[[1,2,3],[4,5],[6],[7],[8]]=>11
[[1,7,8],[2],[3],[4],[5],[6]]=>25
[[1,6,8],[2],[3],[4],[5],[7]]=>24
[[1,5,8],[2],[3],[4],[6],[7]]=>23
[[1,4,8],[2],[3],[5],[6],[7]]=>22
[[1,3,8],[2],[4],[5],[6],[7]]=>21
[[1,2,8],[3],[4],[5],[6],[7]]=>20
[[1,6,7],[2],[3],[4],[5],[8]]=>23
[[1,5,7],[2],[3],[4],[6],[8]]=>22
[[1,4,7],[2],[3],[5],[6],[8]]=>21
[[1,3,7],[2],[4],[5],[6],[8]]=>20
[[1,2,7],[3],[4],[5],[6],[8]]=>19
[[1,5,6],[2],[3],[4],[7],[8]]=>21
[[1,4,6],[2],[3],[5],[7],[8]]=>20
[[1,3,6],[2],[4],[5],[7],[8]]=>19
[[1,2,6],[3],[4],[5],[7],[8]]=>18
[[1,4,5],[2],[3],[6],[7],[8]]=>19
[[1,3,5],[2],[4],[6],[7],[8]]=>18
[[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]]=>16
[[1,2,3],[4],[5],[6],[7],[8]]=>15
[[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]]=>19
[[1,2],[3,6],[4,7],[5,8]]=>18
[[1,4],[2,5],[3,7],[6,8]]=>21
[[1,3],[2,5],[4,7],[6,8]]=>16
[[1,2],[3,5],[4,7],[6,8]]=>15
[[1,3],[2,4],[5,7],[6,8]]=>20
[[1,2],[3,4],[5,7],[6,8]]=>14
[[1,4],[2,5],[3,6],[7,8]]=>22
[[1,3],[2,5],[4,6],[7,8]]=>17
[[1,2],[3,5],[4,6],[7,8]]=>16
[[1,3],[2,4],[5,6],[7,8]]=>18
[[1,2],[3,4],[5,6],[7,8]]=>12
[[1,6],[2,7],[3,8],[4],[5]]=>25
[[1,5],[2,7],[3,8],[4],[6]]=>22
[[1,4],[2,7],[3,8],[5],[6]]=>21
[[1,3],[2,7],[4,8],[5],[6]]=>20
[[1,2],[3,7],[4,8],[5],[6]]=>19
[[1,5],[2,6],[3,8],[4],[7]]=>23
[[1,4],[2,6],[3,8],[5],[7]]=>19
[[1,3],[2,6],[4,8],[5],[7]]=>18
[[1,2],[3,6],[4,8],[5],[7]]=>17
[[1,4],[2,5],[3,8],[6],[7]]=>22
[[1,3],[2,5],[4,8],[6],[7]]=>17
[[1,2],[3,5],[4,8],[6],[7]]=>16
[[1,3],[2,4],[5,8],[6],[7]]=>21
[[1,2],[3,4],[5,8],[6],[7]]=>15
[[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]]=>19
[[1,2],[3,6],[4,7],[5],[8]]=>18
[[1,4],[2,5],[3,7],[6],[8]]=>21
[[1,3],[2,5],[4,7],[6],[8]]=>16
[[1,2],[3,5],[4,7],[6],[8]]=>15
[[1,3],[2,4],[5,7],[6],[8]]=>20
[[1,2],[3,4],[5,7],[6],[8]]=>14
[[1,4],[2,5],[3,6],[7],[8]]=>23
[[1,3],[2,5],[4,6],[7],[8]]=>18
[[1,2],[3,5],[4,6],[7],[8]]=>17
[[1,3],[2,4],[5,6],[7],[8]]=>19
[[1,2],[3,4],[5,6],[7],[8]]=>13
[[1,7],[2,8],[3],[4],[5],[6]]=>26
[[1,6],[2,8],[3],[4],[5],[7]]=>24
[[1,5],[2,8],[3],[4],[6],[7]]=>23
[[1,4],[2,8],[3],[5],[6],[7]]=>22
[[1,3],[2,8],[4],[5],[6],[7]]=>21
[[1,2],[3,8],[4],[5],[6],[7]]=>20
[[1,6],[2,7],[3],[4],[5],[8]]=>25
[[1,5],[2,7],[3],[4],[6],[8]]=>22
[[1,4],[2,7],[3],[5],[6],[8]]=>21
[[1,3],[2,7],[4],[5],[6],[8]]=>20
[[1,2],[3,7],[4],[5],[6],[8]]=>19
[[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]]=>19
[[1,2],[3,6],[4],[5],[7],[8]]=>18
[[1,4],[2,5],[3],[6],[7],[8]]=>23
[[1,3],[2,5],[4],[6],[7],[8]]=>18
[[1,2],[3,5],[4],[6],[7],[8]]=>17
[[1,3],[2,4],[5],[6],[7],[8]]=>22
[[1,2],[3,4],[5],[6],[7],[8]]=>16
[[1,8],[2],[3],[4],[5],[6],[7]]=>27
[[1,7],[2],[3],[4],[5],[6],[8]]=>26
[[1,6],[2],[3],[4],[5],[7],[8]]=>25
[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[[1,4],[2],[3],[5],[6],[7],[8]]=>23
[[1,3],[2],[4],[5],[6],[7],[8]]=>22
[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[[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]]=>1
[[1,2,3,4,5,6,7],[8,9]]=>2
[[1,2,3,4,5,6,7],[8],[9]]=>3
[[1,2,3,4,5,6],[7,8,9]]=>3
[[1,2,3,4,5,6],[7,8],[9]]=>4
[[1,2,3,4,5,6],[7],[8],[9]]=>6
[[1,2,3,4,5],[6,7,8,9]]=>4
[[1,2,3,4,5],[6,7,8],[9]]=>5
[[1,2,3,4,5],[6,7],[8,9]]=>6
[[1,2,3,4,5],[6,7],[8],[9]]=>7
[[1,2,3,4,5],[6],[7],[8],[9]]=>10
[[1,2,3,4],[5,6,7,8],[9]]=>6
[[1,2,3,4],[5,6,7],[8,9]]=>7
[[1,2,3,4],[5,6,7],[8],[9]]=>8
[[1,2,3,4],[5,6],[7,8],[9]]=>9
[[1,2,3,4],[5,6],[7],[8],[9]]=>11
[[1,2,3,4],[5],[6],[7],[8],[9]]=>15
[[1,2,3],[4,5,6],[7,8,9]]=>9
[[1,2,3],[4,5,6],[7,8],[9]]=>10
[[1,2,3],[4,5,6],[7],[8],[9]]=>12
[[1,2,3],[4,5],[6,7],[8,9]]=>12
[[1,2,3],[4,5],[6,7],[8],[9]]=>13
[[1,2,3],[4,5],[6],[7],[8],[9]]=>16
[[1,2,3],[4],[5],[6],[7],[8],[9]]=>21
[[1,2],[3,4],[5,6],[7,8],[9]]=>16
[[1,2],[3,4],[5,6],[7],[8],[9]]=>18
[[1,2],[3,4],[5],[6],[7],[8],[9]]=>22
[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>28
[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[[1,3,4,5,6,7,8,9],[2]]=>8
[[1,2,5,6,7,8,9],[3,4]]=>7
[[1,4,5,6,7,8,9],[2],[3]]=>15
[[1,2,3,7,8,9],[4,5,6]]=>6
[[1,3,6,7,8,9],[2,5],[4]]=>14
[[1,5,6,7,8,9],[2],[3],[4]]=>21
[[1,2,3,4,9],[5,6,7,8]]=>5
[[1,3,4,8,9],[2,6,7],[5]]=>13
[[1,2,7,8,9],[3,4],[5,6]]=>12
[[1,4,7,8,9],[2,6],[3],[5]]=>20
[[1,6,7,8,9],[2],[3],[4],[5]]=>26
[[1,3,4,5],[2,7,8,9],[6]]=>12
[[1,2,5,9],[3,4,8],[6,7]]=>11
[[1,4,5,9],[2,7,8],[3],[6]]=>19
[[1,3,8,9],[2,5],[4,7],[6]]=>18
[[1,5,8,9],[2,7],[3],[4],[6]]=>25
[[1,7,8,9],[2],[3],[4],[5],[6]]=>30
[[1,3,6],[2,5,9],[4,8],[7]]=>17
[[1,5,6],[2,8,9],[3],[4],[7]]=>24
[[1,2,9],[3,4],[5,6],[7,8]]=>15
[[1,4,9],[2,6],[3,8],[5],[7]]=>23
[[1,6,9],[2,8],[3],[4],[5],[7]]=>29
[[1,8,9],[2],[3],[4],[5],[6],[7]]=>33
[[1,3],[2,5],[4,7],[6,9],[8]]=>20
[[1,5],[2,7],[3,9],[4],[6],[8]]=>27
[[1,7],[2,9],[3],[4],[5],[6],[8]]=>32
[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>35
[[1,8],[2,9],[3],[4],[5],[6],[7]]=>34
[[1,7],[2,8],[3,9],[4],[5],[6]]=>33
[[1,7,9],[2,8],[3],[4],[5],[6]]=>32
[[1,6],[2,7],[3,8],[4,9],[5]]=>32
[[1,6,9],[2,7],[3,8],[4],[5]]=>31
[[1,6,8],[2,7,9],[3],[4],[5]]=>30
[[1,6,8,9],[2,7],[3],[4],[5]]=>29
[[1,5,9],[2,6],[3,7],[4,8]]=>30
[[1,5,8],[2,6,9],[3,7],[4]]=>29
[[1,5,8,9],[2,6],[3,7],[4]]=>28
[[1,5,7,9],[2,6,8],[3],[4]]=>27
[[1,5,7,8,9],[2,6],[3],[4]]=>25
[[1,4,7],[2,5,8],[3,6,9]]=>27
[[1,4,7,9],[2,5,8],[3,6]]=>26
[[1,4,7,8,9],[2,5],[3,6]]=>24
[[1,4,6,8],[2,5,7,9],[3]]=>24
[[1,4,6,8,9],[2,5,7],[3]]=>23
[[1,4,6,7,8,9],[2,5],[3]]=>20
[[1,3,5,7,9],[2,4,6,8]]=>20
[[1,3,5,7,8,9],[2,4,6]]=>18
[[1,3,5,6,7,8,9],[2,4]]=>14
[[1,3],[2,4],[5],[6],[7],[8],[9]]=>29
[[1,4],[2,5],[3,6],[7],[8],[9]]=>30
[[1,2,4],[3,5],[6],[7],[8],[9]]=>22
[[1,5],[2,6],[3,7],[4,8],[9]]=>31
[[1,2,5],[3,6],[4,7],[8],[9]]=>23
[[1,3,5],[2,4,6],[7],[8],[9]]=>24
[[1,2,3,5],[4,6],[7],[8],[9]]=>16
[[1,2,6],[3,7],[4,8],[5,9]]=>24
[[1,3,6],[2,4,7],[5,8],[9]]=>25
[[1,2,3,6],[4,7],[5,8],[9]]=>17
[[1,2,4,6],[3,5,7],[8],[9]]=>18
[[1,2,3,4,6],[5,7],[8],[9]]=>11
[[1,2,4,7],[3,5,8],[6,9]]=>19
[[1,2,3,4,7],[5,8],[6,9]]=>12
[[1,3,5,7],[2,4,6,8],[9]]=>21
[[1,2,3,5,7],[4,6,8],[9]]=>13
[[1,2,3,4,5,7],[6,8],[9]]=>7
[[1,2,4,6,8],[3,5,7,9]]=>16
[[1,2,3,4,6,8],[5,7,9]]=>9
[[1,2,3,4,5,6,8],[7,9]]=>4
[[1,2,3,4,9],[5,6],[7,8]]=>8
[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[[1,2,4,5,6,7,8,9],[3]]=>7
[[1,2,5,6,7,8,9],[3],[4]]=>13
[[1,2,6,7,8,9],[3],[4],[5]]=>18
[[1,2,7,8,9],[3],[4],[5],[6]]=>22
[[1,2,8,9],[3],[4],[5],[6],[7]]=>25
[[1,2,3,4,7,8,9],[5,6]]=>5
[[1,2,4,5,8,9],[3,7],[6]]=>11
[[1,2,4,5,6,7],[3,9],[8]]=>9
[[1,2,5,6,9],[3,8],[4],[7]]=>16
[[1,2,3,4,7,8],[5,6],[9]]=>6
[[1,2,5,6,7,8],[3],[4],[9]]=>14
[[1,2,4,5],[3,7],[6,9],[8]]=>13
[[1,2,6,7],[3,9],[4],[5],[8]]=>20
[[1,2,5,6],[3,8],[4],[7],[9]]=>17
[[1,2,7,8],[3],[4],[5],[6],[9]]=>23
[[1,3,5,7,9],[2,4,6,8,10]]=>25
[[1,3,5,7,8],[2,4,6,9,10]]=>23
[[1,3,5,6,9],[2,4,7,8,10]]=>21
[[1,3,5,6,8],[2,4,7,9,10]]=>22
[[1,3,5,6,7],[2,4,8,9,10]]=>19
[[1,3,4,7,9],[2,5,6,8,10]]=>19
[[1,3,4,7,8],[2,5,6,9,10]]=>17
[[1,3,4,6,9],[2,5,7,8,10]]=>20
[[1,3,4,6,8],[2,5,7,9,10]]=>21
[[1,3,4,6,7],[2,5,8,9,10]]=>18
[[1,3,4,5,9],[2,6,7,8,10]]=>15
[[1,3,4,5,8],[2,6,7,9,10]]=>16
[[1,3,4,5,7],[2,6,8,9,10]]=>17
[[1,3,4,5,6],[2,7,8,9,10]]=>13
[[1,2,5,7,9],[3,4,6,8,10]]=>17
[[1,2,5,7,8],[3,4,6,9,10]]=>15
[[1,2,5,6,9],[3,4,7,8,10]]=>13
[[1,2,5,6,8],[3,4,7,9,10]]=>14
[[1,2,5,6,7],[3,4,8,9,10]]=>11
[[1,2,4,7,9],[3,5,6,8,10]]=>18
[[1,2,4,7,8],[3,5,6,9,10]]=>16
[[1,2,4,6,9],[3,5,7,8,10]]=>19
[[1,2,4,6,8],[3,5,7,9,10]]=>20
[[1,2,4,6,7],[3,5,8,9,10]]=>17
[[1,2,4,5,9],[3,6,7,8,10]]=>14
[[1,2,4,5,8],[3,6,7,9,10]]=>15
[[1,2,4,5,7],[3,6,8,9,10]]=>16
[[1,2,4,5,6],[3,7,8,9,10]]=>12
[[1,2,3,7,9],[4,5,6,8,10]]=>11
[[1,2,3,7,8],[4,5,6,9,10]]=>9
[[1,2,3,6,9],[4,5,7,8,10]]=>12
[[1,2,3,6,8],[4,5,7,9,10]]=>13
[[1,2,3,6,7],[4,5,8,9,10]]=>10
[[1,2,3,5,9],[4,6,7,8,10]]=>13
[[1,2,3,5,8],[4,6,7,9,10]]=>14
[[1,2,3,5,7],[4,6,8,9,10]]=>15
[[1,2,3,5,6],[4,7,8,9,10]]=>11
[[1,2,3,4,9],[5,6,7,8,10]]=>7
[[1,2,3,4,8],[5,6,7,9,10]]=>8
[[1,2,3,4,7],[5,6,8,9,10]]=>9
[[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]]=>1
[[1,2,3,4,5,6,7,8],[9,10]]=>2
[[1,2,3,4,5,6,7,8],[9],[10]]=>3
[[1,2,3,4,5,6,7],[8,9,10]]=>3
[[1,2,3,4,5,6,7],[8,9],[10]]=>4
[[1,2,3,4,5,6,7],[8],[9],[10]]=>6
[[1,2,3,4,5,6],[7,8,9,10]]=>4
[[1,2,3,4,5,6],[7,8,9],[10]]=>5
[[1,2,3,4,5,6],[7,8],[9,10]]=>6
[[1,2,3,4,5,6],[7,8],[9],[10]]=>7
[[1,2,3,4,5,6],[7],[8],[9],[10]]=>10
[[1,2,3,4,5],[6,7,8,9],[10]]=>6
[[1,2,3,4,5],[6,7,8],[9,10]]=>7
[[1,2,3,4,5],[6,7,8],[9],[10]]=>8
[[1,2,3,4,5],[6,7],[8,9],[10]]=>9
[[1,2,3,4,5],[6,7],[8],[9],[10]]=>11
[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>15
[[1,2,3,4],[5,6,7,8],[9,10]]=>8
[[1,2,3,4],[5,6,7,8],[9],[10]]=>9
[[1,2,3,4],[5,6,7],[8,9,10]]=>9
[[1,2,3,4],[5,6,7],[8,9],[10]]=>10
[[1,2,3,4],[5,6,7],[8],[9],[10]]=>12
[[1,2,3,4],[5,6],[7,8],[9,10]]=>12
[[1,2,3,4],[5,6],[7,8],[9],[10]]=>13
[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>16
[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>21
[[1,2,3],[4,5,6],[7,8,9],[10]]=>12
[[1,2,3],[4,5,6],[7,8],[9,10]]=>13
[[1,2,3],[4,5,6],[7,8],[9],[10]]=>14
[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>17
[[1,2,3],[4,5],[6,7],[8,9],[10]]=>16
[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>18
[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>22
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>28
[[1,2],[3,4],[5,6],[7,8],[9,10]]=>20
[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>21
[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>24
[[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]]=>45
[[1,3,4,5,6,7,8,9,10],[2]]=>9
[[1,2,5,6,7,8,9,10],[3,4]]=>8
[[1,4,5,6,7,8,9,10],[2],[3]]=>17
[[1,2,3,7,8,9,10],[4,5,6]]=>7
[[1,3,6,7,8,9,10],[2,5],[4]]=>16
[[1,5,6,7,8,9,10],[2],[3],[4]]=>24
[[1,2,3,4,9,10],[5,6,7,8]]=>6
[[1,3,4,8,9,10],[2,6,7],[5]]=>15
[[1,2,7,8,9,10],[3,4],[5,6]]=>14
[[1,4,7,8,9,10],[2,6],[3],[5]]=>23
[[1,6,7,8,9,10],[2],[3],[4],[5]]=>30
[[1,3,4,5,10],[2,7,8,9],[6]]=>14
[[1,2,5,9,10],[3,4,8],[6,7]]=>13
[[1,4,5,9,10],[2,7,8],[3],[6]]=>22
[[1,3,8,9,10],[2,5],[4,7],[6]]=>21
[[1,5,8,9,10],[2,7],[3],[4],[6]]=>29
[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>35
[[1,2,5,6],[3,4,9,10],[7,8]]=>12
[[1,4,5,6],[2,8,9,10],[3],[7]]=>21
[[1,2,3,10],[4,5,6],[7,8,9]]=>11
[[1,3,6,10],[2,5,9],[4,8],[7]]=>20
[[1,5,6,10],[2,8,9],[3],[4],[7]]=>28
[[1,2,9,10],[3,4],[5,6],[7,8]]=>18
[[1,4,9,10],[2,6],[3,8],[5],[7]]=>27
[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>34
[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>39
[[1,3,4],[2,6,7],[5,9,10],[8]]=>18
[[1,2,7],[3,4,10],[5,6],[8,9]]=>17
[[1,4,7],[2,6,10],[3,9],[5],[8]]=>26
[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>33
[[1,3,10],[2,5],[4,7],[6,9],[8]]=>24
[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>32
[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>38
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>42
[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>29
[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>36
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>41
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>44
[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>43
[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>42
[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>41
[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>41
[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>40
[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>39
[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>38
[[1,6],[2,7],[3,8],[4,9],[5,10]]=>40
[[1,6,10],[2,7],[3,8],[4,9],[5]]=>39
[[1,6,9],[2,7,10],[3,8],[4],[5]]=>38
[[1,6,9,10],[2,7],[3,8],[4],[5]]=>37
[[1,6,8,10],[2,7,9],[3],[4],[5]]=>36
[[1,6,8,9,10],[2,7],[3],[4],[5]]=>34
[[1,5,9],[2,6,10],[3,7],[4,8]]=>37
[[1,5,9,10],[2,6],[3,7],[4,8]]=>36
[[1,5,8],[2,6,9],[3,7,10],[4]]=>36
[[1,5,8,10],[2,6,9],[3,7],[4]]=>35
[[1,5,8,9,10],[2,6],[3,7],[4]]=>33
[[1,5,7,9],[2,6,8,10],[3],[4]]=>33
[[1,5,7,9,10],[2,6,8],[3],[4]]=>32
[[1,5,7,8,9,10],[2,6],[3],[4]]=>29
[[1,4,7,10],[2,5,8],[3,6,9]]=>33
[[1,4,7,9],[2,5,8,10],[3,6]]=>32
[[1,4,7,9,10],[2,5,8],[3,6]]=>31
[[1,4,7,8,9,10],[2,5],[3,6]]=>28
[[1,4,6,8,10],[2,5,7,9],[3]]=>29
[[1,4,6,8,9,10],[2,5,7],[3]]=>27
[[1,4,6,7,8,9,10],[2,5],[3]]=>23
[[1,3,5,7,9,10],[2,4,6,8]]=>24
[[1,3,5,7,8,9,10],[2,4,6]]=>21
[[1,3,5,6,7,8,9,10],[2,4]]=>16
[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>37
[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>38
[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>29
[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>39
[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>30
[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>31
[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>22
[[1,2,6],[3,7],[4,8],[5,9],[10]]=>31
[[1,3,6],[2,4,7],[5,8],[9],[10]]=>32
[[1,2,3,6],[4,7],[5,8],[9],[10]]=>23
[[1,2,4,6],[3,5,7],[8],[9],[10]]=>24
[[1,2,3,4,6],[5,7],[8],[9],[10]]=>16
[[1,3,7],[2,4,8],[5,9],[6,10]]=>33
[[1,2,3,7],[4,8],[5,9],[6,10]]=>24
[[1,4,7],[2,5,8],[3,6,9],[10]]=>34
[[1,2,4,7],[3,5,8],[6,9],[10]]=>25
[[1,2,3,4,7],[5,8],[6,9],[10]]=>17
[[1,3,5,7],[2,4,6,8],[9],[10]]=>27
[[1,2,3,5,7],[4,6,8],[9],[10]]=>18
[[1,2,3,4,5,7],[6,8],[9],[10]]=>11
[[1,2,5,8],[3,6,9],[4,7,10]]=>27
[[1,3,5,8],[2,4,6,9],[7,10]]=>28
[[1,2,3,5,8],[4,6,9],[7,10]]=>19
[[1,2,3,4,5,8],[6,9],[7,10]]=>12
[[1,2,4,6,8],[3,5,7,9],[10]]=>21
[[1,2,3,4,6,8],[5,7,9],[10]]=>13
[[1,2,3,4,5,6,8],[7,9],[10]]=>7
[[1,2,3,5,7,9],[4,6,8,10]]=>16
[[1,2,3,4,5,7,9],[6,8,10]]=>9
[[1,2,3,4,5,6,7,9],[8,10]]=>4
[[1,2],[3,4],[5,6],[7,9],[8,10]]=>22
[[1,2],[3,4],[5,7],[6,8],[9,10]]=>24
[[1,2],[3,4],[5,7],[6,9],[8,10]]=>23
[[1,2],[3,4],[5,8],[6,9],[7,10]]=>26
[[1,2],[3,5],[4,6],[7,8],[9,10]]=>26
[[1,2],[3,5],[4,6],[7,9],[8,10]]=>28
[[1,2],[3,5],[4,7],[6,8],[9,10]]=>25
[[1,2],[3,5],[4,7],[6,9],[8,10]]=>24
[[1,2],[3,5],[4,8],[6,9],[7,10]]=>27
[[1,2],[3,6],[4,7],[5,8],[9,10]]=>30
[[1,2],[3,6],[4,7],[5,9],[8,10]]=>29
[[1,2],[3,6],[4,8],[5,9],[7,10]]=>28
[[1,2],[3,7],[4,8],[5,9],[6,10]]=>32
[[1,3],[2,4],[5,6],[7,8],[9,10]]=>28
[[1,3],[2,4],[5,6],[7,9],[8,10]]=>30
[[1,3],[2,4],[5,7],[6,8],[9,10]]=>32
[[1,3],[2,4],[5,7],[6,9],[8,10]]=>31
[[1,3],[2,4],[5,8],[6,9],[7,10]]=>34
[[1,3],[2,5],[4,6],[7,8],[9,10]]=>27
[[1,3],[2,5],[4,6],[7,9],[8,10]]=>29
[[1,3],[2,5],[4,7],[6,8],[9,10]]=>26
[[1,3],[2,5],[4,7],[6,9],[8,10]]=>25
[[1,3],[2,5],[4,8],[6,9],[7,10]]=>28
[[1,3],[2,6],[4,7],[5,8],[9,10]]=>31
[[1,3],[2,6],[4,7],[5,9],[8,10]]=>30
[[1,3],[2,6],[4,8],[5,9],[7,10]]=>29
[[1,3],[2,7],[4,8],[5,9],[6,10]]=>33
[[1,4],[2,5],[3,6],[7,8],[9,10]]=>34
[[1,4],[2,5],[3,6],[7,9],[8,10]]=>36
[[1,4],[2,5],[3,7],[6,8],[9,10]]=>33
[[1,4],[2,5],[3,7],[6,9],[8,10]]=>32
[[1,4],[2,5],[3,8],[6,9],[7,10]]=>35
[[1,4],[2,6],[3,7],[5,8],[9,10]]=>32
[[1,4],[2,6],[3,7],[5,9],[8,10]]=>31
[[1,4],[2,6],[3,8],[5,9],[7,10]]=>30
[[1,4],[2,7],[3,8],[5,9],[6,10]]=>34
[[1,5],[2,6],[3,7],[4,8],[9,10]]=>38
[[1,5],[2,6],[3,7],[4,9],[8,10]]=>37
[[1,5],[2,6],[3,8],[4,9],[7,10]]=>36
[[1,5],[2,7],[3,8],[4,9],[6,10]]=>35
[[1,2,3,4,5,6,7,8,10],[9]]=>2
[[1,2,3,4,5,6,10],[7,8,9]]=>4
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[[1,2,4,5,6,7,8,9,10],[3]]=>8
[[1,2,4,6,8,10],[3,5,7,9]]=>20
[[1,2,4,6,8,9,10],[3,5,7]]=>18
[[1,2,4,6,7,8,10],[3,5,9]]=>16
[[1,2,4,6,7,9,10],[3,5,8]]=>17
[[1,2,4,6,7,8,9,10],[3,5]]=>14
[[1,2,4,5,6,8,10],[3,7,9]]=>14
[[1,2,4,5,6,9,10],[3,7,8]]=>12
[[1,2,4,5,7,8,10],[3,6,9]]=>15
[[1,2,4,5,7,9,10],[3,6,8]]=>16
[[1,2,4,5,7,8,9,10],[3,6]]=>13
[[1,2,4,5,6,7,8,10],[3,9]]=>10
[[1,2,4,5,6,7,9,10],[3,8]]=>11
[[1,2,4,5,6,8,9,10],[3,7]]=>12
[[1,2,3,4,6,8,10],[5,7,9]]=>12
[[1,2,3,4,6,9,10],[5,7,8]]=>10
[[1,2,3,4,7,8,10],[5,6,9]]=>8
[[1,2,3,4,7,9,10],[5,6,8]]=>9
[[1,2,3,4,7,8,9,10],[5,6]]=>6
[[1,2,3,5,6,8,10],[4,7,9]]=>13
[[1,2,3,5,6,9,10],[4,7,8]]=>11
[[1,2,3,5,7,8,10],[4,6,9]]=>14
[[1,2,3,5,7,9,10],[4,6,8]]=>15
[[1,2,3,5,7,8,9,10],[4,6]]=>12
[[1,2,3,5,6,7,8,10],[4,9]]=>9
[[1,2,3,5,6,7,9,10],[4,8]]=>10
[[1,2,3,5,6,8,9,10],[4,7]]=>11
[[1,2,3,5,6,7,8,9,10],[4]]=>7
[[1,2,3,4,5,6,8,10],[7,9]]=>6
[[1,2,3,4,5,6,9,10],[7,8]]=>4
[[1,2,3,4,5,7,8,10],[6,9]]=>7
[[1,2,3,4,5,7,9,10],[6,8]]=>8
[[1,2,3,4,5,8,9,10],[6,7]]=>5
[[1,2,3,4,6,7,8,10],[5,9]]=>8
[[1,2,3,4,6,7,9,10],[5,8]]=>9
[[1,2,3,4,6,8,9,10],[5,7]]=>10
[[1,2,3,4,6,7,8,9,10],[5]]=>6
[[1,2,3,4,5,6,7,9,10],[8]]=>3
[[1,2,3,4,5,6,8,9,10],[7]]=>4
[[1,2,3,4,5,7,8,9,10],[6]]=>5
[[1,2,5,6,7,8,9,10],[3],[4]]=>15
[[1,2,6,7,8,9,10],[3],[4],[5]]=>21
[[1,2,7,8,9,10],[3],[4],[5],[6]]=>26
[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>30
[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>33
[[1,2,4,5,8,9,10],[3,7],[6]]=>13
[[1,2,4,5,6,7],[3,9,10],[8]]=>11
[[1,2,3,4,9,10],[5,6],[7,8]]=>10
[[1,2,5,6,9,10],[3,8],[4],[7]]=>19
[[1,2,4,5,6,7,8,9],[3],[10]]=>9
[[1,2,3,4,7,8],[5,6],[9,10]]=>8
[[1,2,5,6,7,8],[3,10],[4],[9]]=>17
[[1,2,4,5,10],[3,7],[6,9],[8]]=>16
[[1,2,6,7,10],[3,9],[4],[5],[8]]=>24
[[1,2,4,5,8,9],[3,7],[6],[10]]=>14
[[1,2,6,7,8,9],[3],[4],[5],[10]]=>22
[[1,2,5,6],[3,8],[4,10],[7],[9]]=>21
[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>28
[[1,2,4,5],[3,7],[6,9],[8],[10]]=>17
[[1,2,6,7],[3,9],[4],[5],[8],[10]]=>25
[[1,2,8,9],[3],[4],[5],[6],[7],[10]]=>31
[[1,2,3,4,5],[6,7,8,9],[10,11]]=>8
[[1,2,3,4,5],[6,7,8,9],[10],[11]]=>9
[[1,2,3,4,5],[6,7,8],[9,10,11]]=>9
[[1,2,3,4,5],[6,7,8],[9,10],[11]]=>10
[[1,2,3,4,5],[6,7,8],[9],[10],[11]]=>12
[[1,2,3,4,5],[6,7],[8,9],[10,11]]=>12
[[1,2,3,4,5],[6,7],[8,9],[10],[11]]=>13
[[1,2,3,4],[5,6,7,8],[9,10,11]]=>10
[[1,2,3,4],[5,6,7,8],[9,10],[11]]=>11
[[1,2,3,4],[5,6,7,8],[9],[10],[11]]=>13
[[1,2,3,4],[5,6,7],[8,9,10],[11]]=>12
[[1,2,3,4],[5,6,7],[8,9],[10,11]]=>13
[[1,2,3,4],[5,6,7],[8,9],[10],[11]]=>14
[[1,2,3,4],[5,6],[7,8],[9,10],[11]]=>16
[[1,2,3],[4,5,6],[7,8,9],[10,11]]=>15
[[1,2,3],[4,5,6],[7,8,9],[10],[11]]=>16
[[1,2,3],[4,5,6],[7,8],[9,10],[11]]=>17
[[1,2,5,6,11],[3,4,9,10],[7,8]]=>14
[[1,4,5,6,11],[2,8,9,10],[3],[7]]=>24
[[1,2,3,10,11],[4,5,6],[7,8,9]]=>13
[[1,3,6,10,11],[2,5,9],[4,8],[7]]=>23
[[1,5,6,10,11],[2,8,9],[3],[4],[7]]=>32
[[1,2,9,10,11],[3,4],[5,6],[7,8]]=>21
[[1,4,9,10,11],[2,6],[3,8],[5],[7]]=>31
[[1,2,3,7],[4,5,6,11],[8,9,10]]=>12
[[1,3,6,7],[2,5,10,11],[4,9],[8]]=>22
[[1,5,6,7],[2,9,10,11],[3],[4],[8]]=>31
[[1,3,4,11],[2,6,7],[5,9,10],[8]]=>21
[[1,2,7,11],[3,4,10],[5,6],[8,9]]=>20
[[1,4,7,11],[2,6,10],[3,9],[5],[8]]=>30
[[1,3,10,11],[2,5],[4,7],[6,9],[8]]=>28
[[1,2,5],[3,4,8],[6,7,11],[9,10]]=>18
[[1,4,5],[2,7,8],[3,10,11],[6],[9]]=>28
[[1,3,8],[2,5,11],[4,7],[6,10],[9]]=>27
[[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]]=>34
[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>32
[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>33
[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>30
[[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]]=>28
[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>31
[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>32
[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>29
[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>26
[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>27
[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>28
[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>24
[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>28
[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>26
[[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]]=>25
[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>22
[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>29
[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>27
[[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]]=>31
[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>28
[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>25
[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>26
[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>27
[[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]]=>22
[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>20
[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>23
[[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]]=>21
[[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]]=>25
[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>26
[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>22
[[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]]=>19
[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>20
[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>21
[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>16
[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>26
[[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]]=>22
[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>23
[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>20
[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>20
[[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]]=>21
[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>22
[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>19
[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>16
[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>17
[[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]]=>14
[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>27
[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>25
[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>23
[[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]]=>21
[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>28
[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>26
[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>29
[[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]]=>27
[[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]]=>25
[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>26
[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>22
[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>21
[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>19
[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>22
[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>23
[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>20
[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>23
[[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]]=>25
[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>21
[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>17
[[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]]=>19
[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>20
[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>15
[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>18
[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>16
[[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]]=>15
[[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]]=>19
[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>17
[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>20
[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>21
[[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]]=>15
[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>16
[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>17
[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>13
[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>20
[[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]]=>21
[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>22
[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>19
[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>22
[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>23
[[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]]=>20
[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>16
[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>17
[[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]]=>19
[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>14
[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>12
[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>10
[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>13
[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>14
[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>11
[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>14
[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>15
[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>16
[[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]]=>15
[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>16
[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>17
[[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]]=>13
[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>8
[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>9
[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>10
[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>11
[[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]]=>8
[[1,2,3,4,5],[6,7,8,9],[10,11,12]]=>10
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]]=>11
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]]=>13
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]]=>12
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]]=>13
[[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]]=>16
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]]=>13
[[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]]=>15
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>15
[[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]]=>17
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]]=>19
[[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]]=>30
[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>16
[[1,2,3,7,12],[4,5,6,11],[8,9,10]]=>14
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]]=>25
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]]=>35
[[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]]=>23
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]]=>34
[[1,3,10,11,12],[2,5],[4,7],[6,9],[8]]=>32
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]]=>23
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>22
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]]=>33
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]]=>21
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]]=>32
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]]=>31
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]]=>29
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>38
[[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>32
[[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>34
[[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>33
[[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>36
[[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>36
[[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>38
[[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>35
[[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>34
[[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>37
[[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>40
[[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>39
[[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>38
[[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>42
[[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>38
[[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>40
[[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>42
[[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>41
[[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>44
[[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>37
[[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>39
[[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>36
[[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>35
[[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>38
[[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>41
[[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>40
[[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>39
[[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]]=>44
[[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>46
[[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>43
[[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>42
[[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>45
[[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>42
[[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>41
[[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>40
[[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>44
[[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]]=>47
[[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>46
[[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>45
[[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>50
[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>40
[[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>42
[[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>44
[[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>43
[[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>46
[[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>46
[[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>48
[[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>45
[[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>44
[[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>47
[[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>50
[[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>49
[[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>48
[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>52
[[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>39
[[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>41
[[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>43
[[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>42
[[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>45
[[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>38
[[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>40
[[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>37
[[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>36
[[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]]=>42
[[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>41
[[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>40
[[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>44
[[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>45
[[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>47
[[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>44
[[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>43
[[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>46
[[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>43
[[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>42
[[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>41
[[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>45
[[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>49
[[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>48
[[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>47
[[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>46
[[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>51
[[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>48
[[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>50
[[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]]=>51
[[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>54
[[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>47
[[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>49
[[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>46
[[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>45
[[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>48
[[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>51
[[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>50
[[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>49
[[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>53
[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>46
[[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]]=>45
[[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>44
[[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>47
[[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>44
[[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>43
[[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>42
[[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>46
[[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>50
[[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>49
[[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>48
[[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>47
[[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>52
[[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>54
[[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>56
[[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>53
[[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>52
[[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>55
[[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>52
[[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>51
[[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>50
[[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>54
[[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>51
[[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>50
[[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>49
[[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>48
[[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>53
[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>58
[[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>57
[[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>56
[[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>55
[[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>54
[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>60
[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>30
[[1,2,4,6,8,10,11,12],[3,5,7,9]]=>28
[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>26
[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>27
[[1,2,4,6,8,9,10,11,12],[3,5,7]]=>24
[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>24
[[1,2,4,6,7,8,11,12],[3,5,9,10]]=>22
[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>25
[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>26
[[1,2,4,6,7,9,10,11,12],[3,5,8]]=>23
[[1,2,4,6,7,8,9,10,12],[3,5,11]]=>20
[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>21
[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>22
[[1,2,4,6,7,8,9,10,11,12],[3,5]]=>18
[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>22
[[1,2,4,5,6,8,11,12],[3,7,9,10]]=>20
[[1,2,4,5,6,9,10,12],[3,7,8,11]]=>18
[[1,2,4,5,6,9,11,12],[3,7,8,10]]=>19
[[1,2,4,5,6,9,10,11,12],[3,7,8]]=>16
[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>23
[[1,2,4,5,7,8,11,12],[3,6,9,10]]=>21
[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>24
[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>25
[[1,2,4,5,7,9,10,11,12],[3,6,8]]=>22
[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>19
[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>20
[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>21
[[1,2,4,5,7,8,9,10,11,12],[3,6]]=>17
[[1,2,4,5,6,7,8,10,12],[3,9,11]]=>16
[[1,2,4,5,6,7,8,11,12],[3,9,10]]=>14
[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>17
[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>18
[[1,2,4,5,6,7,10,11,12],[3,8,9]]=>15
[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>18
[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>19
[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>20
[[1,2,4,5,6,8,9,10,11,12],[3,7]]=>16
[[1,2,4,5,6,7,8,9,10,12],[3,11]]=>12
[[1,2,4,5,6,7,8,9,11,12],[3,10]]=>13
[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>14
[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>15
[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>10
[[1,2,3,4,6,8,10,12],[5,7,9,11]]=>20
[[1,2,3,4,6,8,11,12],[5,7,9,10]]=>18
[[1,2,3,4,6,9,10,12],[5,7,8,11]]=>16
[[1,2,3,4,6,9,11,12],[5,7,8,10]]=>17
[[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]]=>14
[[1,2,3,4,7,8,11,12],[5,6,9,10]]=>12
[[1,2,3,4,7,9,10,12],[5,6,8,11]]=>15
[[1,2,3,4,7,9,11,12],[5,6,8,10]]=>16
[[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]]=>10
[[1,2,3,4,7,8,9,11,12],[5,6,10]]=>11
[[1,2,3,4,7,8,10,11,12],[5,6,9]]=>12
[[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]]=>19
[[1,2,3,5,6,9,10,12],[4,7,8,11]]=>17
[[1,2,3,5,6,9,11,12],[4,7,8,10]]=>18
[[1,2,3,5,6,9,10,11,12],[4,7,8]]=>15
[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>22
[[1,2,3,5,7,8,11,12],[4,6,9,10]]=>20
[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>23
[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>24
[[1,2,3,5,7,9,10,11,12],[4,6,8]]=>21
[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>18
[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>19
[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>20
[[1,2,3,5,7,8,9,10,11,12],[4,6]]=>16
[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>15
[[1,2,3,5,6,7,8,11,12],[4,9,10]]=>13
[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>16
[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>17
[[1,2,3,5,6,7,10,11,12],[4,8,9]]=>14
[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>17
[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>18
[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>19
[[1,2,3,5,6,8,9,10,11,12],[4,7]]=>15
[[1,2,3,5,6,7,8,9,10,12],[4,11]]=>11
[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>12
[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>13
[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>14
[[1,2,3,5,6,7,8,9,10,11,12],[4]]=>9
[[1,2,3,4,5,6,8,10,12],[7,9,11]]=>12
[[1,2,3,4,5,6,8,11,12],[7,9,10]]=>10
[[1,2,3,4,5,6,9,10,12],[7,8,11]]=>8
[[1,2,3,4,5,6,9,11,12],[7,8,10]]=>9
[[1,2,3,4,5,6,10,11,12],[7,8,9]]=>6
[[1,2,3,4,5,7,8,10,12],[6,9,11]]=>13
[[1,2,3,4,5,7,8,11,12],[6,9,10]]=>11
[[1,2,3,4,5,7,9,10,12],[6,8,11]]=>14
[[1,2,3,4,5,7,9,11,12],[6,8,10]]=>15
[[1,2,3,4,5,7,10,11,12],[6,8,9]]=>12
[[1,2,3,4,5,8,9,10,12],[6,7,11]]=>9
[[1,2,3,4,5,8,9,11,12],[6,7,10]]=>10
[[1,2,3,4,5,8,10,11,12],[6,7,9]]=>11
[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>7
[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>14
[[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]]=>15
[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>16
[[1,2,3,4,6,7,10,11,12],[5,8,9]]=>13
[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>16
[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>17
[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>18
[[1,2,3,4,6,8,9,10,11,12],[5,7]]=>14
[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>10
[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>11
[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>12
[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>13
[[1,2,3,4,6,7,8,9,10,11,12],[5]]=>8
[[1,2,3,4,5,6,7,8,10,12],[9,11]]=>6
[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>4
[[1,2,3,4,5,6,7,9,10,12],[8,11]]=>7
[[1,2,3,4,5,6,7,9,11,12],[8,10]]=>8
[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>5
[[1,2,3,4,5,6,8,9,10,12],[7,11]]=>8
[[1,2,3,4,5,6,8,9,11,12],[7,10]]=>9
[[1,2,3,4,5,6,8,10,11,12],[7,9]]=>10
[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>6
[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>9
[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>10
[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>11
[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>12
[[1,2,3,4,5,7,8,9,10,11,12],[6]]=>7
[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>2
[[1,2,3,4,5,6,7,8,9,11,12],[10]]=>3
[[1,2,3,4,5,6,7,8,10,11,12],[9]]=>4
[[1,2,3,4,5,6,7,9,10,11,12],[8]]=>5
[[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]]=>13
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]]=>14
[[1,2,3,4,5],[6,7,8,9],[10,11],[12],[13]]=>15
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13]]=>15
[[1,2,3,4,5],[6,7,8],[9,10,11],[12],[13]]=>16
[[1,2,3,4,5],[6,7,8],[9,10],[11,12],[13]]=>17
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]]=>16
[[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]]=>17
[[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]]=>18
[[1,2,3,4],[5,6,7],[8,9,10],[11,12],[13]]=>19
[[1,3,4,8,13],[2,6,7,12],[5,10,11],[9]]=>26
[[1,2,7,8,13],[3,4,11,12],[5,6],[9,10]]=>25
[[1,4,7,8,13],[2,6,11,12],[3,10],[5],[9]]=>37
[[1,2,5,12,13],[3,4,8],[6,7,11],[9,10]]=>24
[[1,4,5,12,13],[2,7,8],[3,10,11],[6],[9]]=>36
[[1,3,8,12,13],[2,5,11],[4,7],[6,10],[9]]=>35
[[1,2,5,9],[3,4,8,13],[6,7,12],[10,11]]=>23
[[1,4,5,9],[2,7,8,13],[3,11,12],[6],[10]]=>35
[[1,3,8,9],[2,5,12,13],[4,7],[6,11],[10]]=>34
[[1,3,6,13],[2,5,9],[4,8,12],[7,11],[10]]=>33
[[1,3,4,6,7,8,9],[2,5,10,11,12,13,14]]=>28
[[1,3,4,5,7,8,10],[2,6,9,11,12,13,14]]=>32
[[1,3,4,5,7,8,9],[2,6,10,11,12,13,14]]=>27
[[1,3,4,5,6,9,10],[2,7,8,11,12,13,14]]=>25
[[1,3,4,5,6,8,11],[2,7,9,10,12,13,14]]=>30
[[1,3,4,5,6,8,10],[2,7,9,11,12,13,14]]=>31
[[1,3,4,5,6,8,9],[2,7,10,11,12,13,14]]=>26
[[1,3,4,5,6,7,12],[2,8,9,10,11,13,14]]=>22
[[1,3,4,5,6,7,11],[2,8,9,10,12,13,14]]=>23
[[1,3,4,5,6,7,10],[2,8,9,11,12,13,14]]=>24
[[1,3,4,5,6,7,9],[2,8,10,11,12,13,14]]=>25
[[1,3,4,5,6,7,8],[2,9,10,11,12,13,14]]=>19
[[1,2,5,6,7,8,9],[3,4,10,11,12,13,14]]=>17
[[1,2,4,5,6,7,13],[3,8,9,10,11,12,14]]=>20
[[1,2,3,5,6,8,13],[4,7,9,10,11,12,14]]=>26
[[1,2,3,5,6,7,13],[4,8,9,10,11,12,14]]=>19
[[1,2,3,4,7,8,13],[5,6,9,10,11,12,14]]=>17
[[1,2,3,4,6,9,13],[5,7,8,10,11,12,14]]=>24
[[1,2,3,4,6,8,13],[5,7,9,10,11,12,14]]=>25
[[1,2,3,4,6,7,13],[5,8,9,10,11,12,14]]=>18
[[1,2,3,4,5,11,12],[6,7,8,9,10,13,14]]=>11
[[1,2,3,4,5,10,13],[6,7,8,9,11,12,14]]=>14
[[1,2,3,4,5,9,13],[6,7,8,10,11,12,14]]=>15
[[1,2,3,4,5,8,13],[6,7,9,10,11,12,14]]=>16
[[1,2,3,4,5,7,13],[6,8,9,10,11,12,14]]=>17
[[1,2,3,4,5,6,13],[7,8,9,10,11,12,14]]=>9
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14]]=>16
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13],[14]]=>17
[[1,2,3,4,5],[6,7,8,9],[10,11],[12,13],[14]]=>18
[[1,2,3,4,5],[6,7,8],[9,10,11],[12,13],[14]]=>19
[[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]]=>20
[[1,2,5,9,14],[3,4,8,13],[6,7,12],[10,11]]=>26
[[1,4,5,9,14],[2,7,8,13],[3,11,12],[6],[10]]=>39
[[1,3,8,9,14],[2,5,12,13],[4,7],[6,11],[10]]=>38
[[1,3,6,13,14],[2,5,9],[4,8,12],[7,11],[10]]=>37
[[1,3,6,10],[2,5,9,14],[4,8,13],[7,12],[11]]=>36
[[1,2,3,4,5],[6,7,8,9],[10,11,12],[13,14],[15]]=>20
[[1,3,6,10,15],[2,5,9,14],[4,8,13],[7,12],[11]]=>40
[[1,3,4,5,6,8,9,10],[2,7,11,12,13,14,15,16]]=>31
[[1,3,4,5,6,7,9,11],[2,8,10,12,13,14,15,16]]=>36
[[1,3,4,5,6,7,9,10],[2,8,11,12,13,14,15,16]]=>30
[[1,3,4,5,6,7,8,12],[2,9,10,11,13,14,15,16]]=>27
[[1,3,4,5,6,7,8,11],[2,9,10,12,13,14,15,16]]=>28
[[1,3,4,5,6,7,8,10],[2,9,11,12,13,14,15,16]]=>29
[[1,3,4,5,6,7,8,9],[2,10,11,12,13,14,15,16]]=>22
[[1,2,3,4,6,7,8,15],[5,9,10,11,12,13,14,16]]=>21
[[1,2,3,4,5,7,9,15],[6,8,10,11,12,13,14,16]]=>28
[[1,2,3,4,5,7,8,15],[6,9,10,11,12,13,14,16]]=>20
[[1,2,3,4,5,6,10,15],[7,8,9,11,12,13,14,16]]=>17
[[1,2,3,4,5,6,9,15],[7,8,10,11,12,13,14,16]]=>18
[[1,2,3,4,5,6,8,15],[7,9,10,11,12,13,14,16]]=>19
[[1,2,3,4,5,6,7,15],[8,9,10,11,12,13,14,16]]=>10
[[1,2,3,4,5,6,7,8,17],[9,10,11,12,13,14,15,16,18]]=>11
[[1,3,4,5,6,7,8,9,10],[2,11,12,13,14,15,16,17,18]]=>25
[[1,2,3,4,5,6,7,9,17],[8,10,11,12,13,14,15,16,18]]=>21
[[1,3,4,5,6,7,8,9,11],[2,10,12,13,14,15,16,17,18]]=>33
[[1,2,3,4,5,6,7,10,17],[8,9,11,12,13,14,15,16,18]]=>20
[[1,2,3,4,5,6,8,9,17],[7,10,11,12,13,14,15,16,18]]=>22
[[1,3,4,5,6,7,8,9,12],[2,10,11,13,14,15,16,17,18]]=>32
[[1,3,4,5,6,7,8,10,11],[2,9,12,13,14,15,16,17,18]]=>34
[[1,2,3,4,5,6,7,8,9,19],[10,11,12,13,14,15,16,17,18,20]]=>12
[[1,3,4,5,6,7,8,9,10,11],[2,12,13,14,15,16,17,18,19,20]]=>28
[[1,2,3,4,5,6,7,8,10,19],[9,11,12,13,14,15,16,17,18,20]]=>23
[[1,3,4,5,6,7,8,9,10,12],[2,11,13,14,15,16,17,18,19,20]]=>37
[[1,2,3,4,5,6,7,8,9,10,21],[11,12,13,14,15,16,17,18,19,20,22]]=>13
[[1,3,4,5,6,7,8,9,10,11,12],[2,13,14,15,16,17,18,19,20,21,22]]=>31
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The cocharge of a standard tableau.
The cocharge of a standard tableau $T$, denoted $\mathrm{cc}(T)$, is defined to be the cocharge of the reading word of the tableau. The cocharge of a permutation $w_1 w_2\cdots w_n$ can be computed by the following algorithm:
1) Starting from $w_n$, scan the entries right-to-left until finding the entry $1$ with a superscript $0$.
2) Continue scanning until the $2$ is found, and label this with a superscript $1$. Then scan until the $3$ is found, labeling with a $2$, and so on, incrementing the label each time, until the beginning of the word is reached. Then go back to the end and scan again from right to left, and *do not* increment the superscript label for the first number found in the next scan. Then continue scanning and labeling, each time incrementing the superscript only if we have not cycled around the word since the last labeling.
3) The cocharge is defined as the sum of the superscript labels on the letters.
The cocharge of a standard tableau $T$, denoted $\mathrm{cc}(T)$, is defined to be the cocharge of the reading word of the tableau. The cocharge of a permutation $w_1 w_2\cdots w_n$ can be computed by the following algorithm:
1) Starting from $w_n$, scan the entries right-to-left until finding the entry $1$ with a superscript $0$.
2) Continue scanning until the $2$ is found, and label this with a superscript $1$. Then scan until the $3$ is found, labeling with a $2$, and so on, incrementing the label each time, until the beginning of the word is reached. Then go back to the end and scan again from right to left, and *do not* increment the superscript label for the first number found in the next scan. Then continue scanning and labeling, each time incrementing the superscript only if we have not cycled around the word since the last labeling.
3) The cocharge is defined as the sum of the superscript labels on the letters.
References
[1] Garsia, A. M., Procesi, C. On certain graded $S_n$-modules and the $q$-Kostka polynomials MathSciNet:1168926
Code
def statistic(T): return T.cocharge()
Created
Nov 10, 2013 at 01:42 by Maria Monks
Updated
Apr 26, 2018 at 07:26 by Martin Rubey
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