Identifier
- St000721: Perfect matchings ⟶ ℤ
Values
=>
Cc0012;cc-rep
[(1,2)]=>1
[(1,2),(3,4)]=>2
[(1,3),(2,4)]=>4
[(1,4),(2,3)]=>4
[(1,2),(3,4),(5,6)]=>3
[(1,3),(2,4),(5,6)]=>5
[(1,4),(2,3),(5,6)]=>5
[(1,5),(2,3),(4,6)]=>7
[(1,6),(2,3),(4,5)]=>7
[(1,6),(2,4),(3,5)]=>9
[(1,5),(2,4),(3,6)]=>9
[(1,4),(2,5),(3,6)]=>9
[(1,3),(2,5),(4,6)]=>7
[(1,2),(3,5),(4,6)]=>5
[(1,2),(3,6),(4,5)]=>5
[(1,3),(2,6),(4,5)]=>7
[(1,4),(2,6),(3,5)]=>9
[(1,5),(2,6),(3,4)]=>9
[(1,6),(2,5),(3,4)]=>9
[(1,2),(3,4),(5,6),(7,8)]=>4
[(1,3),(2,4),(5,6),(7,8)]=>6
[(1,4),(2,3),(5,6),(7,8)]=>6
[(1,5),(2,3),(4,6),(7,8)]=>8
[(1,6),(2,3),(4,5),(7,8)]=>8
[(1,7),(2,3),(4,5),(6,8)]=>10
[(1,8),(2,3),(4,5),(6,7)]=>10
[(1,8),(2,4),(3,5),(6,7)]=>12
[(1,7),(2,4),(3,5),(6,8)]=>12
[(1,6),(2,4),(3,5),(7,8)]=>10
[(1,5),(2,4),(3,6),(7,8)]=>10
[(1,4),(2,5),(3,6),(7,8)]=>10
[(1,3),(2,5),(4,6),(7,8)]=>8
[(1,2),(3,5),(4,6),(7,8)]=>6
[(1,2),(3,6),(4,5),(7,8)]=>6
[(1,3),(2,6),(4,5),(7,8)]=>8
[(1,4),(2,6),(3,5),(7,8)]=>10
[(1,5),(2,6),(3,4),(7,8)]=>10
[(1,6),(2,5),(3,4),(7,8)]=>10
[(1,7),(2,5),(3,4),(6,8)]=>12
[(1,8),(2,5),(3,4),(6,7)]=>12
[(1,8),(2,6),(3,4),(5,7)]=>14
[(1,7),(2,6),(3,4),(5,8)]=>14
[(1,6),(2,7),(3,4),(5,8)]=>14
[(1,5),(2,7),(3,4),(6,8)]=>12
[(1,4),(2,7),(3,5),(6,8)]=>12
[(1,3),(2,7),(4,5),(6,8)]=>10
[(1,2),(3,7),(4,5),(6,8)]=>8
[(1,2),(3,8),(4,5),(6,7)]=>8
[(1,3),(2,8),(4,5),(6,7)]=>10
[(1,4),(2,8),(3,5),(6,7)]=>12
[(1,5),(2,8),(3,4),(6,7)]=>12
[(1,6),(2,8),(3,4),(5,7)]=>14
[(1,7),(2,8),(3,4),(5,6)]=>14
[(1,8),(2,7),(3,4),(5,6)]=>14
[(1,8),(2,7),(3,5),(4,6)]=>16
[(1,7),(2,8),(3,5),(4,6)]=>16
[(1,6),(2,8),(3,5),(4,7)]=>16
[(1,5),(2,8),(3,6),(4,7)]=>16
[(1,4),(2,8),(3,6),(5,7)]=>14
[(1,3),(2,8),(4,6),(5,7)]=>12
[(1,2),(3,8),(4,6),(5,7)]=>10
[(1,2),(3,7),(4,6),(5,8)]=>10
[(1,3),(2,7),(4,6),(5,8)]=>12
[(1,4),(2,7),(3,6),(5,8)]=>14
[(1,5),(2,7),(3,6),(4,8)]=>16
[(1,6),(2,7),(3,5),(4,8)]=>16
[(1,7),(2,6),(3,5),(4,8)]=>16
[(1,8),(2,6),(3,5),(4,7)]=>16
[(1,8),(2,5),(3,6),(4,7)]=>16
[(1,7),(2,5),(3,6),(4,8)]=>16
[(1,6),(2,5),(3,7),(4,8)]=>16
[(1,5),(2,6),(3,7),(4,8)]=>16
[(1,4),(2,6),(3,7),(5,8)]=>14
[(1,3),(2,6),(4,7),(5,8)]=>12
[(1,2),(3,6),(4,7),(5,8)]=>10
[(1,2),(3,5),(4,7),(6,8)]=>8
[(1,3),(2,5),(4,7),(6,8)]=>10
[(1,4),(2,5),(3,7),(6,8)]=>12
[(1,5),(2,4),(3,7),(6,8)]=>12
[(1,6),(2,4),(3,7),(5,8)]=>14
[(1,7),(2,4),(3,6),(5,8)]=>14
[(1,8),(2,4),(3,6),(5,7)]=>14
[(1,8),(2,3),(4,6),(5,7)]=>12
[(1,7),(2,3),(4,6),(5,8)]=>12
[(1,6),(2,3),(4,7),(5,8)]=>12
[(1,5),(2,3),(4,7),(6,8)]=>10
[(1,4),(2,3),(5,7),(6,8)]=>8
[(1,3),(2,4),(5,7),(6,8)]=>8
[(1,2),(3,4),(5,7),(6,8)]=>6
[(1,2),(3,4),(5,8),(6,7)]=>6
[(1,3),(2,4),(5,8),(6,7)]=>8
[(1,4),(2,3),(5,8),(6,7)]=>8
[(1,5),(2,3),(4,8),(6,7)]=>10
[(1,6),(2,3),(4,8),(5,7)]=>12
[(1,7),(2,3),(4,8),(5,6)]=>12
[(1,8),(2,3),(4,7),(5,6)]=>12
[(1,8),(2,4),(3,7),(5,6)]=>14
[(1,7),(2,4),(3,8),(5,6)]=>14
[(1,6),(2,4),(3,8),(5,7)]=>14
[(1,5),(2,4),(3,8),(6,7)]=>12
[(1,4),(2,5),(3,8),(6,7)]=>12
[(1,3),(2,5),(4,8),(6,7)]=>10
[(1,2),(3,5),(4,8),(6,7)]=>8
[(1,2),(3,6),(4,8),(5,7)]=>10
[(1,3),(2,6),(4,8),(5,7)]=>12
[(1,4),(2,6),(3,8),(5,7)]=>14
[(1,5),(2,6),(3,8),(4,7)]=>16
[(1,6),(2,5),(3,8),(4,7)]=>16
[(1,7),(2,5),(3,8),(4,6)]=>16
[(1,8),(2,5),(3,7),(4,6)]=>16
[(1,8),(2,6),(3,7),(4,5)]=>16
[(1,7),(2,6),(3,8),(4,5)]=>16
[(1,6),(2,7),(3,8),(4,5)]=>16
[(1,5),(2,7),(3,8),(4,6)]=>16
[(1,4),(2,7),(3,8),(5,6)]=>14
[(1,3),(2,7),(4,8),(5,6)]=>12
[(1,2),(3,7),(4,8),(5,6)]=>10
[(1,2),(3,8),(4,7),(5,6)]=>10
[(1,3),(2,8),(4,7),(5,6)]=>12
[(1,4),(2,8),(3,7),(5,6)]=>14
[(1,5),(2,8),(3,7),(4,6)]=>16
[(1,6),(2,8),(3,7),(4,5)]=>16
[(1,7),(2,8),(3,6),(4,5)]=>16
[(1,8),(2,7),(3,6),(4,5)]=>16
[(1,2),(3,4),(5,6),(7,8),(9,10)]=>5
[(1,3),(2,4),(5,6),(7,8),(9,10)]=>7
[(1,4),(2,3),(5,6),(7,8),(9,10)]=>7
[(1,5),(2,3),(4,6),(7,8),(9,10)]=>9
[(1,6),(2,3),(4,5),(7,8),(9,10)]=>9
[(1,7),(2,3),(4,5),(6,8),(9,10)]=>11
[(1,8),(2,3),(4,5),(6,7),(9,10)]=>11
[(1,9),(2,3),(4,5),(6,7),(8,10)]=>13
[(1,10),(2,3),(4,5),(6,7),(8,9)]=>13
[(1,10),(2,4),(3,5),(6,7),(8,9)]=>15
[(1,9),(2,4),(3,5),(6,7),(8,10)]=>15
[(1,8),(2,4),(3,5),(6,7),(9,10)]=>13
[(1,7),(2,4),(3,5),(6,8),(9,10)]=>13
[(1,6),(2,4),(3,5),(7,8),(9,10)]=>11
[(1,5),(2,4),(3,6),(7,8),(9,10)]=>11
[(1,4),(2,5),(3,6),(7,8),(9,10)]=>11
[(1,3),(2,5),(4,6),(7,8),(9,10)]=>9
[(1,2),(3,5),(4,6),(7,8),(9,10)]=>7
[(1,2),(3,6),(4,5),(7,8),(9,10)]=>7
[(1,3),(2,6),(4,5),(7,8),(9,10)]=>9
[(1,4),(2,6),(3,5),(7,8),(9,10)]=>11
[(1,5),(2,6),(3,4),(7,8),(9,10)]=>11
[(1,6),(2,5),(3,4),(7,8),(9,10)]=>11
[(1,7),(2,5),(3,4),(6,8),(9,10)]=>13
[(1,8),(2,5),(3,4),(6,7),(9,10)]=>13
[(1,9),(2,5),(3,4),(6,7),(8,10)]=>15
[(1,10),(2,5),(3,4),(6,7),(8,9)]=>15
[(1,10),(2,6),(3,4),(5,7),(8,9)]=>17
[(1,9),(2,6),(3,4),(5,7),(8,10)]=>17
[(1,8),(2,6),(3,4),(5,7),(9,10)]=>15
[(1,7),(2,6),(3,4),(5,8),(9,10)]=>15
[(1,6),(2,7),(3,4),(5,8),(9,10)]=>15
[(1,5),(2,7),(3,4),(6,8),(9,10)]=>13
[(1,4),(2,7),(3,5),(6,8),(9,10)]=>13
[(1,3),(2,7),(4,5),(6,8),(9,10)]=>11
[(1,2),(3,7),(4,5),(6,8),(9,10)]=>9
[(1,2),(3,8),(4,5),(6,7),(9,10)]=>9
[(1,3),(2,8),(4,5),(6,7),(9,10)]=>11
[(1,4),(2,8),(3,5),(6,7),(9,10)]=>13
[(1,5),(2,8),(3,4),(6,7),(9,10)]=>13
[(1,6),(2,8),(3,4),(5,7),(9,10)]=>15
[(1,7),(2,8),(3,4),(5,6),(9,10)]=>15
[(1,8),(2,7),(3,4),(5,6),(9,10)]=>15
[(1,9),(2,7),(3,4),(5,6),(8,10)]=>17
[(1,10),(2,7),(3,4),(5,6),(8,9)]=>17
[(1,10),(2,8),(3,4),(5,6),(7,9)]=>19
[(1,9),(2,8),(3,4),(5,6),(7,10)]=>19
[(1,8),(2,9),(3,4),(5,6),(7,10)]=>19
[(1,7),(2,9),(3,4),(5,6),(8,10)]=>17
[(1,6),(2,9),(3,4),(5,7),(8,10)]=>17
[(1,5),(2,9),(3,4),(6,7),(8,10)]=>15
[(1,4),(2,9),(3,5),(6,7),(8,10)]=>15
[(1,3),(2,9),(4,5),(6,7),(8,10)]=>13
[(1,2),(3,9),(4,5),(6,7),(8,10)]=>11
[(1,2),(3,10),(4,5),(6,7),(8,9)]=>11
[(1,3),(2,10),(4,5),(6,7),(8,9)]=>13
[(1,4),(2,10),(3,5),(6,7),(8,9)]=>15
[(1,5),(2,10),(3,4),(6,7),(8,9)]=>15
[(1,6),(2,10),(3,4),(5,7),(8,9)]=>17
[(1,7),(2,10),(3,4),(5,6),(8,9)]=>17
[(1,8),(2,10),(3,4),(5,6),(7,9)]=>19
[(1,9),(2,10),(3,4),(5,6),(7,8)]=>19
[(1,10),(2,9),(3,4),(5,6),(7,8)]=>19
[(1,10),(2,9),(3,5),(4,6),(7,8)]=>21
[(1,9),(2,10),(3,5),(4,6),(7,8)]=>21
[(1,8),(2,10),(3,5),(4,6),(7,9)]=>21
[(1,7),(2,10),(3,5),(4,6),(8,9)]=>19
[(1,6),(2,10),(3,5),(4,7),(8,9)]=>19
[(1,5),(2,10),(3,6),(4,7),(8,9)]=>19
[(1,4),(2,10),(3,6),(5,7),(8,9)]=>17
[(1,3),(2,10),(4,6),(5,7),(8,9)]=>15
[(1,2),(3,10),(4,6),(5,7),(8,9)]=>13
[(1,2),(3,9),(4,6),(5,7),(8,10)]=>13
[(1,3),(2,9),(4,6),(5,7),(8,10)]=>15
[(1,4),(2,9),(3,6),(5,7),(8,10)]=>17
[(1,5),(2,9),(3,6),(4,7),(8,10)]=>19
[(1,6),(2,9),(3,5),(4,7),(8,10)]=>19
[(1,7),(2,9),(3,5),(4,6),(8,10)]=>19
[(1,8),(2,9),(3,5),(4,6),(7,10)]=>21
[(1,9),(2,8),(3,5),(4,6),(7,10)]=>21
[(1,10),(2,8),(3,5),(4,6),(7,9)]=>21
[(1,10),(2,7),(3,5),(4,6),(8,9)]=>19
[(1,9),(2,7),(3,5),(4,6),(8,10)]=>19
[(1,8),(2,7),(3,5),(4,6),(9,10)]=>17
[(1,7),(2,8),(3,5),(4,6),(9,10)]=>17
[(1,6),(2,8),(3,5),(4,7),(9,10)]=>17
[(1,5),(2,8),(3,6),(4,7),(9,10)]=>17
[(1,4),(2,8),(3,6),(5,7),(9,10)]=>15
[(1,3),(2,8),(4,6),(5,7),(9,10)]=>13
[(1,2),(3,8),(4,6),(5,7),(9,10)]=>11
[(1,2),(3,7),(4,6),(5,8),(9,10)]=>11
[(1,3),(2,7),(4,6),(5,8),(9,10)]=>13
[(1,4),(2,7),(3,6),(5,8),(9,10)]=>15
[(1,5),(2,7),(3,6),(4,8),(9,10)]=>17
[(1,6),(2,7),(3,5),(4,8),(9,10)]=>17
[(1,7),(2,6),(3,5),(4,8),(9,10)]=>17
[(1,8),(2,6),(3,5),(4,7),(9,10)]=>17
[(1,9),(2,6),(3,5),(4,7),(8,10)]=>19
[(1,10),(2,6),(3,5),(4,7),(8,9)]=>19
[(1,10),(2,5),(3,6),(4,7),(8,9)]=>19
[(1,9),(2,5),(3,6),(4,7),(8,10)]=>19
[(1,8),(2,5),(3,6),(4,7),(9,10)]=>17
[(1,7),(2,5),(3,6),(4,8),(9,10)]=>17
[(1,6),(2,5),(3,7),(4,8),(9,10)]=>17
[(1,5),(2,6),(3,7),(4,8),(9,10)]=>17
[(1,4),(2,6),(3,7),(5,8),(9,10)]=>15
[(1,3),(2,6),(4,7),(5,8),(9,10)]=>13
[(1,2),(3,6),(4,7),(5,8),(9,10)]=>11
[(1,2),(3,5),(4,7),(6,8),(9,10)]=>9
[(1,3),(2,5),(4,7),(6,8),(9,10)]=>11
[(1,4),(2,5),(3,7),(6,8),(9,10)]=>13
[(1,5),(2,4),(3,7),(6,8),(9,10)]=>13
[(1,6),(2,4),(3,7),(5,8),(9,10)]=>15
[(1,7),(2,4),(3,6),(5,8),(9,10)]=>15
[(1,8),(2,4),(3,6),(5,7),(9,10)]=>15
[(1,9),(2,4),(3,6),(5,7),(8,10)]=>17
[(1,10),(2,4),(3,6),(5,7),(8,9)]=>17
[(1,10),(2,3),(4,6),(5,7),(8,9)]=>15
[(1,9),(2,3),(4,6),(5,7),(8,10)]=>15
[(1,8),(2,3),(4,6),(5,7),(9,10)]=>13
[(1,7),(2,3),(4,6),(5,8),(9,10)]=>13
[(1,6),(2,3),(4,7),(5,8),(9,10)]=>13
[(1,5),(2,3),(4,7),(6,8),(9,10)]=>11
[(1,4),(2,3),(5,7),(6,8),(9,10)]=>9
[(1,3),(2,4),(5,7),(6,8),(9,10)]=>9
[(1,2),(3,4),(5,7),(6,8),(9,10)]=>7
[(1,2),(3,4),(5,8),(6,7),(9,10)]=>7
[(1,3),(2,4),(5,8),(6,7),(9,10)]=>9
[(1,4),(2,3),(5,8),(6,7),(9,10)]=>9
[(1,5),(2,3),(4,8),(6,7),(9,10)]=>11
[(1,6),(2,3),(4,8),(5,7),(9,10)]=>13
[(1,7),(2,3),(4,8),(5,6),(9,10)]=>13
[(1,8),(2,3),(4,7),(5,6),(9,10)]=>13
[(1,9),(2,3),(4,7),(5,6),(8,10)]=>15
[(1,10),(2,3),(4,7),(5,6),(8,9)]=>15
[(1,10),(2,4),(3,7),(5,6),(8,9)]=>17
[(1,9),(2,4),(3,7),(5,6),(8,10)]=>17
[(1,8),(2,4),(3,7),(5,6),(9,10)]=>15
[(1,7),(2,4),(3,8),(5,6),(9,10)]=>15
[(1,6),(2,4),(3,8),(5,7),(9,10)]=>15
[(1,5),(2,4),(3,8),(6,7),(9,10)]=>13
[(1,4),(2,5),(3,8),(6,7),(9,10)]=>13
[(1,3),(2,5),(4,8),(6,7),(9,10)]=>11
[(1,2),(3,5),(4,8),(6,7),(9,10)]=>9
[(1,2),(3,6),(4,8),(5,7),(9,10)]=>11
[(1,3),(2,6),(4,8),(5,7),(9,10)]=>13
[(1,4),(2,6),(3,8),(5,7),(9,10)]=>15
[(1,5),(2,6),(3,8),(4,7),(9,10)]=>17
[(1,6),(2,5),(3,8),(4,7),(9,10)]=>17
[(1,7),(2,5),(3,8),(4,6),(9,10)]=>17
[(1,8),(2,5),(3,7),(4,6),(9,10)]=>17
[(1,9),(2,5),(3,7),(4,6),(8,10)]=>19
[(1,10),(2,5),(3,7),(4,6),(8,9)]=>19
[(1,10),(2,6),(3,7),(4,5),(8,9)]=>19
[(1,9),(2,6),(3,7),(4,5),(8,10)]=>19
[(1,8),(2,6),(3,7),(4,5),(9,10)]=>17
[(1,7),(2,6),(3,8),(4,5),(9,10)]=>17
[(1,6),(2,7),(3,8),(4,5),(9,10)]=>17
[(1,5),(2,7),(3,8),(4,6),(9,10)]=>17
[(1,4),(2,7),(3,8),(5,6),(9,10)]=>15
[(1,3),(2,7),(4,8),(5,6),(9,10)]=>13
[(1,2),(3,7),(4,8),(5,6),(9,10)]=>11
[(1,2),(3,8),(4,7),(5,6),(9,10)]=>11
[(1,3),(2,8),(4,7),(5,6),(9,10)]=>13
[(1,4),(2,8),(3,7),(5,6),(9,10)]=>15
[(1,5),(2,8),(3,7),(4,6),(9,10)]=>17
[(1,6),(2,8),(3,7),(4,5),(9,10)]=>17
[(1,7),(2,8),(3,6),(4,5),(9,10)]=>17
[(1,8),(2,7),(3,6),(4,5),(9,10)]=>17
[(1,9),(2,7),(3,6),(4,5),(8,10)]=>19
[(1,10),(2,7),(3,6),(4,5),(8,9)]=>19
[(1,10),(2,8),(3,6),(4,5),(7,9)]=>21
[(1,9),(2,8),(3,6),(4,5),(7,10)]=>21
[(1,8),(2,9),(3,6),(4,5),(7,10)]=>21
[(1,7),(2,9),(3,6),(4,5),(8,10)]=>19
[(1,6),(2,9),(3,7),(4,5),(8,10)]=>19
[(1,5),(2,9),(3,7),(4,6),(8,10)]=>19
[(1,4),(2,9),(3,7),(5,6),(8,10)]=>17
[(1,3),(2,9),(4,7),(5,6),(8,10)]=>15
[(1,2),(3,9),(4,7),(5,6),(8,10)]=>13
[(1,2),(3,10),(4,7),(5,6),(8,9)]=>13
[(1,3),(2,10),(4,7),(5,6),(8,9)]=>15
[(1,4),(2,10),(3,7),(5,6),(8,9)]=>17
[(1,5),(2,10),(3,7),(4,6),(8,9)]=>19
[(1,6),(2,10),(3,7),(4,5),(8,9)]=>19
[(1,7),(2,10),(3,6),(4,5),(8,9)]=>19
[(1,8),(2,10),(3,6),(4,5),(7,9)]=>21
[(1,9),(2,10),(3,6),(4,5),(7,8)]=>21
[(1,10),(2,9),(3,6),(4,5),(7,8)]=>21
[(1,10),(2,9),(3,7),(4,5),(6,8)]=>23
[(1,9),(2,10),(3,7),(4,5),(6,8)]=>23
[(1,8),(2,10),(3,7),(4,5),(6,9)]=>23
[(1,7),(2,10),(3,8),(4,5),(6,9)]=>23
[(1,6),(2,10),(3,8),(4,5),(7,9)]=>21
[(1,5),(2,10),(3,8),(4,6),(7,9)]=>21
[(1,4),(2,10),(3,8),(5,6),(7,9)]=>19
[(1,3),(2,10),(4,8),(5,6),(7,9)]=>17
[(1,2),(3,10),(4,8),(5,6),(7,9)]=>15
[(1,2),(3,9),(4,8),(5,6),(7,10)]=>15
[(1,3),(2,9),(4,8),(5,6),(7,10)]=>17
[(1,4),(2,9),(3,8),(5,6),(7,10)]=>19
[(1,5),(2,9),(3,8),(4,6),(7,10)]=>21
[(1,6),(2,9),(3,8),(4,5),(7,10)]=>21
[(1,7),(2,9),(3,8),(4,5),(6,10)]=>23
[(1,8),(2,9),(3,7),(4,5),(6,10)]=>23
[(1,9),(2,8),(3,7),(4,5),(6,10)]=>23
[(1,10),(2,8),(3,7),(4,5),(6,9)]=>23
[(1,10),(2,7),(3,8),(4,5),(6,9)]=>23
[(1,9),(2,7),(3,8),(4,5),(6,10)]=>23
[(1,8),(2,7),(3,9),(4,5),(6,10)]=>23
[(1,7),(2,8),(3,9),(4,5),(6,10)]=>23
[(1,6),(2,8),(3,9),(4,5),(7,10)]=>21
[(1,5),(2,8),(3,9),(4,6),(7,10)]=>21
[(1,4),(2,8),(3,9),(5,6),(7,10)]=>19
[(1,3),(2,8),(4,9),(5,6),(7,10)]=>17
[(1,2),(3,8),(4,9),(5,6),(7,10)]=>15
[(1,2),(3,7),(4,9),(5,6),(8,10)]=>13
[(1,3),(2,7),(4,9),(5,6),(8,10)]=>15
[(1,4),(2,7),(3,9),(5,6),(8,10)]=>17
[(1,5),(2,7),(3,9),(4,6),(8,10)]=>19
[(1,6),(2,7),(3,9),(4,5),(8,10)]=>19
[(1,7),(2,6),(3,9),(4,5),(8,10)]=>19
[(1,8),(2,6),(3,9),(4,5),(7,10)]=>21
[(1,9),(2,6),(3,8),(4,5),(7,10)]=>21
[(1,10),(2,6),(3,8),(4,5),(7,9)]=>21
[(1,10),(2,5),(3,8),(4,6),(7,9)]=>21
[(1,9),(2,5),(3,8),(4,6),(7,10)]=>21
[(1,8),(2,5),(3,9),(4,6),(7,10)]=>21
[(1,7),(2,5),(3,9),(4,6),(8,10)]=>19
[(1,6),(2,5),(3,9),(4,7),(8,10)]=>19
[(1,5),(2,6),(3,9),(4,7),(8,10)]=>19
[(1,4),(2,6),(3,9),(5,7),(8,10)]=>17
[(1,3),(2,6),(4,9),(5,7),(8,10)]=>15
[(1,2),(3,6),(4,9),(5,7),(8,10)]=>13
[(1,2),(3,5),(4,9),(6,7),(8,10)]=>11
[(1,3),(2,5),(4,9),(6,7),(8,10)]=>13
[(1,4),(2,5),(3,9),(6,7),(8,10)]=>15
[(1,5),(2,4),(3,9),(6,7),(8,10)]=>15
[(1,6),(2,4),(3,9),(5,7),(8,10)]=>17
[(1,7),(2,4),(3,9),(5,6),(8,10)]=>17
[(1,8),(2,4),(3,9),(5,6),(7,10)]=>19
[(1,9),(2,4),(3,8),(5,6),(7,10)]=>19
[(1,10),(2,4),(3,8),(5,6),(7,9)]=>19
[(1,10),(2,3),(4,8),(5,6),(7,9)]=>17
[(1,9),(2,3),(4,8),(5,6),(7,10)]=>17
[(1,8),(2,3),(4,9),(5,6),(7,10)]=>17
[(1,7),(2,3),(4,9),(5,6),(8,10)]=>15
[(1,6),(2,3),(4,9),(5,7),(8,10)]=>15
[(1,5),(2,3),(4,9),(6,7),(8,10)]=>13
[(1,4),(2,3),(5,9),(6,7),(8,10)]=>11
[(1,3),(2,4),(5,9),(6,7),(8,10)]=>11
[(1,2),(3,4),(5,9),(6,7),(8,10)]=>9
[(1,2),(3,4),(5,10),(6,7),(8,9)]=>9
[(1,3),(2,4),(5,10),(6,7),(8,9)]=>11
[(1,4),(2,3),(5,10),(6,7),(8,9)]=>11
[(1,5),(2,3),(4,10),(6,7),(8,9)]=>13
[(1,6),(2,3),(4,10),(5,7),(8,9)]=>15
[(1,7),(2,3),(4,10),(5,6),(8,9)]=>15
[(1,8),(2,3),(4,10),(5,6),(7,9)]=>17
[(1,9),(2,3),(4,10),(5,6),(7,8)]=>17
[(1,10),(2,3),(4,9),(5,6),(7,8)]=>17
[(1,10),(2,4),(3,9),(5,6),(7,8)]=>19
[(1,9),(2,4),(3,10),(5,6),(7,8)]=>19
[(1,8),(2,4),(3,10),(5,6),(7,9)]=>19
[(1,7),(2,4),(3,10),(5,6),(8,9)]=>17
[(1,6),(2,4),(3,10),(5,7),(8,9)]=>17
[(1,5),(2,4),(3,10),(6,7),(8,9)]=>15
[(1,4),(2,5),(3,10),(6,7),(8,9)]=>15
[(1,3),(2,5),(4,10),(6,7),(8,9)]=>13
[(1,2),(3,5),(4,10),(6,7),(8,9)]=>11
[(1,2),(3,6),(4,10),(5,7),(8,9)]=>13
[(1,3),(2,6),(4,10),(5,7),(8,9)]=>15
[(1,4),(2,6),(3,10),(5,7),(8,9)]=>17
[(1,5),(2,6),(3,10),(4,7),(8,9)]=>19
[(1,6),(2,5),(3,10),(4,7),(8,9)]=>19
[(1,7),(2,5),(3,10),(4,6),(8,9)]=>19
[(1,8),(2,5),(3,10),(4,6),(7,9)]=>21
[(1,9),(2,5),(3,10),(4,6),(7,8)]=>21
[(1,10),(2,5),(3,9),(4,6),(7,8)]=>21
[(1,10),(2,6),(3,9),(4,5),(7,8)]=>21
[(1,9),(2,6),(3,10),(4,5),(7,8)]=>21
[(1,8),(2,6),(3,10),(4,5),(7,9)]=>21
[(1,7),(2,6),(3,10),(4,5),(8,9)]=>19
[(1,6),(2,7),(3,10),(4,5),(8,9)]=>19
[(1,5),(2,7),(3,10),(4,6),(8,9)]=>19
[(1,4),(2,7),(3,10),(5,6),(8,9)]=>17
[(1,3),(2,7),(4,10),(5,6),(8,9)]=>15
[(1,2),(3,7),(4,10),(5,6),(8,9)]=>13
[(1,2),(3,8),(4,10),(5,6),(7,9)]=>15
[(1,3),(2,8),(4,10),(5,6),(7,9)]=>17
[(1,4),(2,8),(3,10),(5,6),(7,9)]=>19
[(1,5),(2,8),(3,10),(4,6),(7,9)]=>21
[(1,6),(2,8),(3,10),(4,5),(7,9)]=>21
[(1,7),(2,8),(3,10),(4,5),(6,9)]=>23
[(1,8),(2,7),(3,10),(4,5),(6,9)]=>23
[(1,9),(2,7),(3,10),(4,5),(6,8)]=>23
[(1,10),(2,7),(3,9),(4,5),(6,8)]=>23
[(1,10),(2,8),(3,9),(4,5),(6,7)]=>23
[(1,9),(2,8),(3,10),(4,5),(6,7)]=>23
[(1,8),(2,9),(3,10),(4,5),(6,7)]=>23
[(1,7),(2,9),(3,10),(4,5),(6,8)]=>23
[(1,6),(2,9),(3,10),(4,5),(7,8)]=>21
[(1,5),(2,9),(3,10),(4,6),(7,8)]=>21
[(1,4),(2,9),(3,10),(5,6),(7,8)]=>19
[(1,3),(2,9),(4,10),(5,6),(7,8)]=>17
[(1,2),(3,9),(4,10),(5,6),(7,8)]=>15
[(1,2),(3,10),(4,9),(5,6),(7,8)]=>15
[(1,3),(2,10),(4,9),(5,6),(7,8)]=>17
[(1,4),(2,10),(3,9),(5,6),(7,8)]=>19
[(1,5),(2,10),(3,9),(4,6),(7,8)]=>21
[(1,6),(2,10),(3,9),(4,5),(7,8)]=>21
[(1,7),(2,10),(3,9),(4,5),(6,8)]=>23
[(1,8),(2,10),(3,9),(4,5),(6,7)]=>23
[(1,9),(2,10),(3,8),(4,5),(6,7)]=>23
[(1,10),(2,9),(3,8),(4,5),(6,7)]=>23
[(1,10),(2,9),(3,8),(4,6),(5,7)]=>25
[(1,9),(2,10),(3,8),(4,6),(5,7)]=>25
[(1,8),(2,10),(3,9),(4,6),(5,7)]=>25
[(1,7),(2,10),(3,9),(4,6),(5,8)]=>25
[(1,6),(2,10),(3,9),(4,7),(5,8)]=>25
[(1,5),(2,10),(3,9),(4,7),(6,8)]=>23
[(1,4),(2,10),(3,9),(5,7),(6,8)]=>21
[(1,3),(2,10),(4,9),(5,7),(6,8)]=>19
[(1,2),(3,10),(4,9),(5,7),(6,8)]=>17
[(1,2),(3,9),(4,10),(5,7),(6,8)]=>17
[(1,3),(2,9),(4,10),(5,7),(6,8)]=>19
[(1,4),(2,9),(3,10),(5,7),(6,8)]=>21
[(1,5),(2,9),(3,10),(4,7),(6,8)]=>23
[(1,6),(2,9),(3,10),(4,7),(5,8)]=>25
[(1,7),(2,9),(3,10),(4,6),(5,8)]=>25
[(1,8),(2,9),(3,10),(4,6),(5,7)]=>25
[(1,9),(2,8),(3,10),(4,6),(5,7)]=>25
[(1,10),(2,8),(3,9),(4,6),(5,7)]=>25
[(1,10),(2,7),(3,9),(4,6),(5,8)]=>25
[(1,9),(2,7),(3,10),(4,6),(5,8)]=>25
[(1,8),(2,7),(3,10),(4,6),(5,9)]=>25
[(1,7),(2,8),(3,10),(4,6),(5,9)]=>25
[(1,6),(2,8),(3,10),(4,7),(5,9)]=>25
[(1,5),(2,8),(3,10),(4,7),(6,9)]=>23
[(1,4),(2,8),(3,10),(5,7),(6,9)]=>21
[(1,3),(2,8),(4,10),(5,7),(6,9)]=>19
[(1,2),(3,8),(4,10),(5,7),(6,9)]=>17
[(1,2),(3,7),(4,10),(5,8),(6,9)]=>17
[(1,3),(2,7),(4,10),(5,8),(6,9)]=>19
[(1,4),(2,7),(3,10),(5,8),(6,9)]=>21
[(1,5),(2,7),(3,10),(4,8),(6,9)]=>23
[(1,6),(2,7),(3,10),(4,8),(5,9)]=>25
[(1,7),(2,6),(3,10),(4,8),(5,9)]=>25
[(1,8),(2,6),(3,10),(4,7),(5,9)]=>25
[(1,9),(2,6),(3,10),(4,7),(5,8)]=>25
[(1,10),(2,6),(3,9),(4,7),(5,8)]=>25
[(1,10),(2,5),(3,9),(4,7),(6,8)]=>23
[(1,9),(2,5),(3,10),(4,7),(6,8)]=>23
[(1,8),(2,5),(3,10),(4,7),(6,9)]=>23
[(1,7),(2,5),(3,10),(4,8),(6,9)]=>23
[(1,6),(2,5),(3,10),(4,8),(7,9)]=>21
[(1,5),(2,6),(3,10),(4,8),(7,9)]=>21
[(1,4),(2,6),(3,10),(5,8),(7,9)]=>19
[(1,3),(2,6),(4,10),(5,8),(7,9)]=>17
[(1,2),(3,6),(4,10),(5,8),(7,9)]=>15
[(1,2),(3,5),(4,10),(6,8),(7,9)]=>13
[(1,3),(2,5),(4,10),(6,8),(7,9)]=>15
[(1,4),(2,5),(3,10),(6,8),(7,9)]=>17
[(1,5),(2,4),(3,10),(6,8),(7,9)]=>17
[(1,6),(2,4),(3,10),(5,8),(7,9)]=>19
[(1,7),(2,4),(3,10),(5,8),(6,9)]=>21
[(1,8),(2,4),(3,10),(5,7),(6,9)]=>21
[(1,9),(2,4),(3,10),(5,7),(6,8)]=>21
[(1,10),(2,4),(3,9),(5,7),(6,8)]=>21
[(1,10),(2,3),(4,9),(5,7),(6,8)]=>19
[(1,9),(2,3),(4,10),(5,7),(6,8)]=>19
[(1,8),(2,3),(4,10),(5,7),(6,9)]=>19
[(1,7),(2,3),(4,10),(5,8),(6,9)]=>19
[(1,6),(2,3),(4,10),(5,8),(7,9)]=>17
[(1,5),(2,3),(4,10),(6,8),(7,9)]=>15
[(1,4),(2,3),(5,10),(6,8),(7,9)]=>13
[(1,3),(2,4),(5,10),(6,8),(7,9)]=>13
[(1,2),(3,4),(5,10),(6,8),(7,9)]=>11
[(1,2),(3,4),(5,9),(6,8),(7,10)]=>11
[(1,3),(2,4),(5,9),(6,8),(7,10)]=>13
[(1,4),(2,3),(5,9),(6,8),(7,10)]=>13
[(1,5),(2,3),(4,9),(6,8),(7,10)]=>15
[(1,6),(2,3),(4,9),(5,8),(7,10)]=>17
[(1,7),(2,3),(4,9),(5,8),(6,10)]=>19
[(1,8),(2,3),(4,9),(5,7),(6,10)]=>19
[(1,9),(2,3),(4,8),(5,7),(6,10)]=>19
[(1,10),(2,3),(4,8),(5,7),(6,9)]=>19
[(1,10),(2,4),(3,8),(5,7),(6,9)]=>21
[(1,9),(2,4),(3,8),(5,7),(6,10)]=>21
[(1,8),(2,4),(3,9),(5,7),(6,10)]=>21
[(1,7),(2,4),(3,9),(5,8),(6,10)]=>21
[(1,6),(2,4),(3,9),(5,8),(7,10)]=>19
[(1,5),(2,4),(3,9),(6,8),(7,10)]=>17
[(1,4),(2,5),(3,9),(6,8),(7,10)]=>17
[(1,3),(2,5),(4,9),(6,8),(7,10)]=>15
[(1,2),(3,5),(4,9),(6,8),(7,10)]=>13
[(1,2),(3,6),(4,9),(5,8),(7,10)]=>15
[(1,3),(2,6),(4,9),(5,8),(7,10)]=>17
[(1,4),(2,6),(3,9),(5,8),(7,10)]=>19
[(1,5),(2,6),(3,9),(4,8),(7,10)]=>21
[(1,6),(2,5),(3,9),(4,8),(7,10)]=>21
[(1,7),(2,5),(3,9),(4,8),(6,10)]=>23
[(1,8),(2,5),(3,9),(4,7),(6,10)]=>23
[(1,9),(2,5),(3,8),(4,7),(6,10)]=>23
[(1,10),(2,5),(3,8),(4,7),(6,9)]=>23
[(1,10),(2,6),(3,8),(4,7),(5,9)]=>25
[(1,9),(2,6),(3,8),(4,7),(5,10)]=>25
[(1,8),(2,6),(3,9),(4,7),(5,10)]=>25
[(1,7),(2,6),(3,9),(4,8),(5,10)]=>25
[(1,6),(2,7),(3,9),(4,8),(5,10)]=>25
[(1,5),(2,7),(3,9),(4,8),(6,10)]=>23
[(1,4),(2,7),(3,9),(5,8),(6,10)]=>21
[(1,3),(2,7),(4,9),(5,8),(6,10)]=>19
[(1,2),(3,7),(4,9),(5,8),(6,10)]=>17
[(1,2),(3,8),(4,9),(5,7),(6,10)]=>17
[(1,3),(2,8),(4,9),(5,7),(6,10)]=>19
[(1,4),(2,8),(3,9),(5,7),(6,10)]=>21
[(1,5),(2,8),(3,9),(4,7),(6,10)]=>23
[(1,6),(2,8),(3,9),(4,7),(5,10)]=>25
[(1,7),(2,8),(3,9),(4,6),(5,10)]=>25
[(1,8),(2,7),(3,9),(4,6),(5,10)]=>25
[(1,9),(2,7),(3,8),(4,6),(5,10)]=>25
[(1,10),(2,7),(3,8),(4,6),(5,9)]=>25
[(1,10),(2,8),(3,7),(4,6),(5,9)]=>25
[(1,9),(2,8),(3,7),(4,6),(5,10)]=>25
[(1,8),(2,9),(3,7),(4,6),(5,10)]=>25
[(1,7),(2,9),(3,8),(4,6),(5,10)]=>25
[(1,6),(2,9),(3,8),(4,7),(5,10)]=>25
[(1,5),(2,9),(3,8),(4,7),(6,10)]=>23
[(1,4),(2,9),(3,8),(5,7),(6,10)]=>21
[(1,3),(2,9),(4,8),(5,7),(6,10)]=>19
[(1,2),(3,9),(4,8),(5,7),(6,10)]=>17
[(1,2),(3,10),(4,8),(5,7),(6,9)]=>17
[(1,3),(2,10),(4,8),(5,7),(6,9)]=>19
[(1,4),(2,10),(3,8),(5,7),(6,9)]=>21
[(1,5),(2,10),(3,8),(4,7),(6,9)]=>23
[(1,6),(2,10),(3,8),(4,7),(5,9)]=>25
[(1,7),(2,10),(3,8),(4,6),(5,9)]=>25
[(1,8),(2,10),(3,7),(4,6),(5,9)]=>25
[(1,9),(2,10),(3,7),(4,6),(5,8)]=>25
[(1,10),(2,9),(3,7),(4,6),(5,8)]=>25
[(1,10),(2,9),(3,6),(4,7),(5,8)]=>25
[(1,9),(2,10),(3,6),(4,7),(5,8)]=>25
[(1,8),(2,10),(3,6),(4,7),(5,9)]=>25
[(1,7),(2,10),(3,6),(4,8),(5,9)]=>25
[(1,6),(2,10),(3,7),(4,8),(5,9)]=>25
[(1,5),(2,10),(3,7),(4,8),(6,9)]=>23
[(1,4),(2,10),(3,7),(5,8),(6,9)]=>21
[(1,3),(2,10),(4,7),(5,8),(6,9)]=>19
[(1,2),(3,10),(4,7),(5,8),(6,9)]=>17
[(1,2),(3,9),(4,7),(5,8),(6,10)]=>17
[(1,3),(2,9),(4,7),(5,8),(6,10)]=>19
[(1,4),(2,9),(3,7),(5,8),(6,10)]=>21
[(1,5),(2,9),(3,7),(4,8),(6,10)]=>23
[(1,6),(2,9),(3,7),(4,8),(5,10)]=>25
[(1,7),(2,9),(3,6),(4,8),(5,10)]=>25
[(1,8),(2,9),(3,6),(4,7),(5,10)]=>25
[(1,9),(2,8),(3,6),(4,7),(5,10)]=>25
[(1,10),(2,8),(3,6),(4,7),(5,9)]=>25
[(1,10),(2,7),(3,6),(4,8),(5,9)]=>25
[(1,9),(2,7),(3,6),(4,8),(5,10)]=>25
[(1,8),(2,7),(3,6),(4,9),(5,10)]=>25
[(1,7),(2,8),(3,6),(4,9),(5,10)]=>25
[(1,6),(2,8),(3,7),(4,9),(5,10)]=>25
[(1,5),(2,8),(3,7),(4,9),(6,10)]=>23
[(1,4),(2,8),(3,7),(5,9),(6,10)]=>21
[(1,3),(2,8),(4,7),(5,9),(6,10)]=>19
[(1,2),(3,8),(4,7),(5,9),(6,10)]=>17
[(1,2),(3,7),(4,8),(5,9),(6,10)]=>17
[(1,3),(2,7),(4,8),(5,9),(6,10)]=>19
[(1,4),(2,7),(3,8),(5,9),(6,10)]=>21
[(1,5),(2,7),(3,8),(4,9),(6,10)]=>23
[(1,6),(2,7),(3,8),(4,9),(5,10)]=>25
[(1,7),(2,6),(3,8),(4,9),(5,10)]=>25
[(1,8),(2,6),(3,7),(4,9),(5,10)]=>25
[(1,9),(2,6),(3,7),(4,8),(5,10)]=>25
[(1,10),(2,6),(3,7),(4,8),(5,9)]=>25
[(1,10),(2,5),(3,7),(4,8),(6,9)]=>23
[(1,9),(2,5),(3,7),(4,8),(6,10)]=>23
[(1,8),(2,5),(3,7),(4,9),(6,10)]=>23
[(1,7),(2,5),(3,8),(4,9),(6,10)]=>23
[(1,6),(2,5),(3,8),(4,9),(7,10)]=>21
[(1,5),(2,6),(3,8),(4,9),(7,10)]=>21
[(1,4),(2,6),(3,8),(5,9),(7,10)]=>19
[(1,3),(2,6),(4,8),(5,9),(7,10)]=>17
[(1,2),(3,6),(4,8),(5,9),(7,10)]=>15
[(1,2),(3,5),(4,8),(6,9),(7,10)]=>13
[(1,3),(2,5),(4,8),(6,9),(7,10)]=>15
[(1,4),(2,5),(3,8),(6,9),(7,10)]=>17
[(1,5),(2,4),(3,8),(6,9),(7,10)]=>17
[(1,6),(2,4),(3,8),(5,9),(7,10)]=>19
[(1,7),(2,4),(3,8),(5,9),(6,10)]=>21
[(1,8),(2,4),(3,7),(5,9),(6,10)]=>21
[(1,9),(2,4),(3,7),(5,8),(6,10)]=>21
[(1,10),(2,4),(3,7),(5,8),(6,9)]=>21
[(1,10),(2,3),(4,7),(5,8),(6,9)]=>19
[(1,9),(2,3),(4,7),(5,8),(6,10)]=>19
[(1,8),(2,3),(4,7),(5,9),(6,10)]=>19
[(1,7),(2,3),(4,8),(5,9),(6,10)]=>19
[(1,6),(2,3),(4,8),(5,9),(7,10)]=>17
[(1,5),(2,3),(4,8),(6,9),(7,10)]=>15
[(1,4),(2,3),(5,8),(6,9),(7,10)]=>13
[(1,3),(2,4),(5,8),(6,9),(7,10)]=>13
[(1,2),(3,4),(5,8),(6,9),(7,10)]=>11
[(1,2),(3,4),(5,7),(6,9),(8,10)]=>9
[(1,3),(2,4),(5,7),(6,9),(8,10)]=>11
[(1,4),(2,3),(5,7),(6,9),(8,10)]=>11
[(1,5),(2,3),(4,7),(6,9),(8,10)]=>13
[(1,6),(2,3),(4,7),(5,9),(8,10)]=>15
[(1,7),(2,3),(4,6),(5,9),(8,10)]=>15
[(1,8),(2,3),(4,6),(5,9),(7,10)]=>17
[(1,9),(2,3),(4,6),(5,8),(7,10)]=>17
[(1,10),(2,3),(4,6),(5,8),(7,9)]=>17
[(1,10),(2,4),(3,6),(5,8),(7,9)]=>19
[(1,9),(2,4),(3,6),(5,8),(7,10)]=>19
[(1,8),(2,4),(3,6),(5,9),(7,10)]=>19
[(1,7),(2,4),(3,6),(5,9),(8,10)]=>17
[(1,6),(2,4),(3,7),(5,9),(8,10)]=>17
[(1,5),(2,4),(3,7),(6,9),(8,10)]=>15
[(1,4),(2,5),(3,7),(6,9),(8,10)]=>15
[(1,3),(2,5),(4,7),(6,9),(8,10)]=>13
[(1,2),(3,5),(4,7),(6,9),(8,10)]=>11
[(1,2),(3,6),(4,7),(5,9),(8,10)]=>13
[(1,3),(2,6),(4,7),(5,9),(8,10)]=>15
[(1,4),(2,6),(3,7),(5,9),(8,10)]=>17
[(1,5),(2,6),(3,7),(4,9),(8,10)]=>19
[(1,6),(2,5),(3,7),(4,9),(8,10)]=>19
[(1,7),(2,5),(3,6),(4,9),(8,10)]=>19
[(1,8),(2,5),(3,6),(4,9),(7,10)]=>21
[(1,9),(2,5),(3,6),(4,8),(7,10)]=>21
[(1,10),(2,5),(3,6),(4,8),(7,9)]=>21
[(1,10),(2,6),(3,5),(4,8),(7,9)]=>21
[(1,9),(2,6),(3,5),(4,8),(7,10)]=>21
[(1,8),(2,6),(3,5),(4,9),(7,10)]=>21
[(1,7),(2,6),(3,5),(4,9),(8,10)]=>19
[(1,6),(2,7),(3,5),(4,9),(8,10)]=>19
[(1,5),(2,7),(3,6),(4,9),(8,10)]=>19
[(1,4),(2,7),(3,6),(5,9),(8,10)]=>17
[(1,3),(2,7),(4,6),(5,9),(8,10)]=>15
[(1,2),(3,7),(4,6),(5,9),(8,10)]=>13
[(1,2),(3,8),(4,6),(5,9),(7,10)]=>15
[(1,3),(2,8),(4,6),(5,9),(7,10)]=>17
[(1,4),(2,8),(3,6),(5,9),(7,10)]=>19
[(1,5),(2,8),(3,6),(4,9),(7,10)]=>21
[(1,6),(2,8),(3,5),(4,9),(7,10)]=>21
[(1,7),(2,8),(3,5),(4,9),(6,10)]=>23
[(1,8),(2,7),(3,5),(4,9),(6,10)]=>23
[(1,9),(2,7),(3,5),(4,8),(6,10)]=>23
[(1,10),(2,7),(3,5),(4,8),(6,9)]=>23
[(1,10),(2,8),(3,5),(4,7),(6,9)]=>23
[(1,9),(2,8),(3,5),(4,7),(6,10)]=>23
[(1,8),(2,9),(3,5),(4,7),(6,10)]=>23
[(1,7),(2,9),(3,5),(4,8),(6,10)]=>23
[(1,6),(2,9),(3,5),(4,8),(7,10)]=>21
[(1,5),(2,9),(3,6),(4,8),(7,10)]=>21
[(1,4),(2,9),(3,6),(5,8),(7,10)]=>19
[(1,3),(2,9),(4,6),(5,8),(7,10)]=>17
[(1,2),(3,9),(4,6),(5,8),(7,10)]=>15
[(1,2),(3,10),(4,6),(5,8),(7,9)]=>15
[(1,3),(2,10),(4,6),(5,8),(7,9)]=>17
[(1,4),(2,10),(3,6),(5,8),(7,9)]=>19
[(1,5),(2,10),(3,6),(4,8),(7,9)]=>21
[(1,6),(2,10),(3,5),(4,8),(7,9)]=>21
[(1,7),(2,10),(3,5),(4,8),(6,9)]=>23
[(1,8),(2,10),(3,5),(4,7),(6,9)]=>23
[(1,9),(2,10),(3,5),(4,7),(6,8)]=>23
[(1,10),(2,9),(3,5),(4,7),(6,8)]=>23
[(1,10),(2,9),(3,4),(5,7),(6,8)]=>21
[(1,9),(2,10),(3,4),(5,7),(6,8)]=>21
[(1,8),(2,10),(3,4),(5,7),(6,9)]=>21
[(1,7),(2,10),(3,4),(5,8),(6,9)]=>21
[(1,6),(2,10),(3,4),(5,8),(7,9)]=>19
[(1,5),(2,10),(3,4),(6,8),(7,9)]=>17
[(1,4),(2,10),(3,5),(6,8),(7,9)]=>17
[(1,3),(2,10),(4,5),(6,8),(7,9)]=>15
[(1,2),(3,10),(4,5),(6,8),(7,9)]=>13
[(1,2),(3,9),(4,5),(6,8),(7,10)]=>13
[(1,3),(2,9),(4,5),(6,8),(7,10)]=>15
[(1,4),(2,9),(3,5),(6,8),(7,10)]=>17
[(1,5),(2,9),(3,4),(6,8),(7,10)]=>17
[(1,6),(2,9),(3,4),(5,8),(7,10)]=>19
[(1,7),(2,9),(3,4),(5,8),(6,10)]=>21
[(1,8),(2,9),(3,4),(5,7),(6,10)]=>21
[(1,9),(2,8),(3,4),(5,7),(6,10)]=>21
[(1,10),(2,8),(3,4),(5,7),(6,9)]=>21
[(1,10),(2,7),(3,4),(5,8),(6,9)]=>21
[(1,9),(2,7),(3,4),(5,8),(6,10)]=>21
[(1,8),(2,7),(3,4),(5,9),(6,10)]=>21
[(1,7),(2,8),(3,4),(5,9),(6,10)]=>21
[(1,6),(2,8),(3,4),(5,9),(7,10)]=>19
[(1,5),(2,8),(3,4),(6,9),(7,10)]=>17
[(1,4),(2,8),(3,5),(6,9),(7,10)]=>17
[(1,3),(2,8),(4,5),(6,9),(7,10)]=>15
[(1,2),(3,8),(4,5),(6,9),(7,10)]=>13
[(1,2),(3,7),(4,5),(6,9),(8,10)]=>11
[(1,3),(2,7),(4,5),(6,9),(8,10)]=>13
[(1,4),(2,7),(3,5),(6,9),(8,10)]=>15
[(1,5),(2,7),(3,4),(6,9),(8,10)]=>15
[(1,6),(2,7),(3,4),(5,9),(8,10)]=>17
[(1,7),(2,6),(3,4),(5,9),(8,10)]=>17
[(1,8),(2,6),(3,4),(5,9),(7,10)]=>19
[(1,9),(2,6),(3,4),(5,8),(7,10)]=>19
[(1,10),(2,6),(3,4),(5,8),(7,9)]=>19
[(1,10),(2,5),(3,4),(6,8),(7,9)]=>17
[(1,9),(2,5),(3,4),(6,8),(7,10)]=>17
[(1,8),(2,5),(3,4),(6,9),(7,10)]=>17
[(1,7),(2,5),(3,4),(6,9),(8,10)]=>15
[(1,6),(2,5),(3,4),(7,9),(8,10)]=>13
[(1,5),(2,6),(3,4),(7,9),(8,10)]=>13
[(1,4),(2,6),(3,5),(7,9),(8,10)]=>13
[(1,3),(2,6),(4,5),(7,9),(8,10)]=>11
[(1,2),(3,6),(4,5),(7,9),(8,10)]=>9
[(1,2),(3,5),(4,6),(7,9),(8,10)]=>9
[(1,3),(2,5),(4,6),(7,9),(8,10)]=>11
[(1,4),(2,5),(3,6),(7,9),(8,10)]=>13
[(1,5),(2,4),(3,6),(7,9),(8,10)]=>13
[(1,6),(2,4),(3,5),(7,9),(8,10)]=>13
[(1,7),(2,4),(3,5),(6,9),(8,10)]=>15
[(1,8),(2,4),(3,5),(6,9),(7,10)]=>17
[(1,9),(2,4),(3,5),(6,8),(7,10)]=>17
[(1,10),(2,4),(3,5),(6,8),(7,9)]=>17
[(1,10),(2,3),(4,5),(6,8),(7,9)]=>15
[(1,9),(2,3),(4,5),(6,8),(7,10)]=>15
[(1,8),(2,3),(4,5),(6,9),(7,10)]=>15
[(1,7),(2,3),(4,5),(6,9),(8,10)]=>13
[(1,6),(2,3),(4,5),(7,9),(8,10)]=>11
[(1,5),(2,3),(4,6),(7,9),(8,10)]=>11
[(1,4),(2,3),(5,6),(7,9),(8,10)]=>9
[(1,3),(2,4),(5,6),(7,9),(8,10)]=>9
[(1,2),(3,4),(5,6),(7,9),(8,10)]=>7
[(1,2),(3,4),(5,6),(7,10),(8,9)]=>7
[(1,3),(2,4),(5,6),(7,10),(8,9)]=>9
[(1,4),(2,3),(5,6),(7,10),(8,9)]=>9
[(1,5),(2,3),(4,6),(7,10),(8,9)]=>11
[(1,6),(2,3),(4,5),(7,10),(8,9)]=>11
[(1,7),(2,3),(4,5),(6,10),(8,9)]=>13
[(1,8),(2,3),(4,5),(6,10),(7,9)]=>15
[(1,9),(2,3),(4,5),(6,10),(7,8)]=>15
[(1,10),(2,3),(4,5),(6,9),(7,8)]=>15
[(1,10),(2,4),(3,5),(6,9),(7,8)]=>17
[(1,9),(2,4),(3,5),(6,10),(7,8)]=>17
[(1,8),(2,4),(3,5),(6,10),(7,9)]=>17
[(1,7),(2,4),(3,5),(6,10),(8,9)]=>15
[(1,6),(2,4),(3,5),(7,10),(8,9)]=>13
[(1,5),(2,4),(3,6),(7,10),(8,9)]=>13
[(1,4),(2,5),(3,6),(7,10),(8,9)]=>13
[(1,3),(2,5),(4,6),(7,10),(8,9)]=>11
[(1,2),(3,5),(4,6),(7,10),(8,9)]=>9
[(1,2),(3,6),(4,5),(7,10),(8,9)]=>9
[(1,3),(2,6),(4,5),(7,10),(8,9)]=>11
[(1,4),(2,6),(3,5),(7,10),(8,9)]=>13
[(1,5),(2,6),(3,4),(7,10),(8,9)]=>13
[(1,6),(2,5),(3,4),(7,10),(8,9)]=>13
[(1,7),(2,5),(3,4),(6,10),(8,9)]=>15
[(1,8),(2,5),(3,4),(6,10),(7,9)]=>17
[(1,9),(2,5),(3,4),(6,10),(7,8)]=>17
[(1,10),(2,5),(3,4),(6,9),(7,8)]=>17
[(1,10),(2,6),(3,4),(5,9),(7,8)]=>19
[(1,9),(2,6),(3,4),(5,10),(7,8)]=>19
[(1,8),(2,6),(3,4),(5,10),(7,9)]=>19
[(1,7),(2,6),(3,4),(5,10),(8,9)]=>17
[(1,6),(2,7),(3,4),(5,10),(8,9)]=>17
[(1,5),(2,7),(3,4),(6,10),(8,9)]=>15
[(1,4),(2,7),(3,5),(6,10),(8,9)]=>15
[(1,3),(2,7),(4,5),(6,10),(8,9)]=>13
[(1,2),(3,7),(4,5),(6,10),(8,9)]=>11
[(1,2),(3,8),(4,5),(6,10),(7,9)]=>13
[(1,3),(2,8),(4,5),(6,10),(7,9)]=>15
[(1,4),(2,8),(3,5),(6,10),(7,9)]=>17
[(1,5),(2,8),(3,4),(6,10),(7,9)]=>17
[(1,6),(2,8),(3,4),(5,10),(7,9)]=>19
[(1,7),(2,8),(3,4),(5,10),(6,9)]=>21
[(1,8),(2,7),(3,4),(5,10),(6,9)]=>21
[(1,9),(2,7),(3,4),(5,10),(6,8)]=>21
[(1,10),(2,7),(3,4),(5,9),(6,8)]=>21
[(1,10),(2,8),(3,4),(5,9),(6,7)]=>21
[(1,9),(2,8),(3,4),(5,10),(6,7)]=>21
[(1,8),(2,9),(3,4),(5,10),(6,7)]=>21
[(1,7),(2,9),(3,4),(5,10),(6,8)]=>21
[(1,6),(2,9),(3,4),(5,10),(7,8)]=>19
[(1,5),(2,9),(3,4),(6,10),(7,8)]=>17
[(1,4),(2,9),(3,5),(6,10),(7,8)]=>17
[(1,3),(2,9),(4,5),(6,10),(7,8)]=>15
[(1,2),(3,9),(4,5),(6,10),(7,8)]=>13
[(1,2),(3,10),(4,5),(6,9),(7,8)]=>13
[(1,3),(2,10),(4,5),(6,9),(7,8)]=>15
[(1,4),(2,10),(3,5),(6,9),(7,8)]=>17
[(1,5),(2,10),(3,4),(6,9),(7,8)]=>17
[(1,6),(2,10),(3,4),(5,9),(7,8)]=>19
[(1,7),(2,10),(3,4),(5,9),(6,8)]=>21
[(1,8),(2,10),(3,4),(5,9),(6,7)]=>21
[(1,9),(2,10),(3,4),(5,8),(6,7)]=>21
[(1,10),(2,9),(3,4),(5,8),(6,7)]=>21
[(1,10),(2,9),(3,5),(4,8),(6,7)]=>23
[(1,9),(2,10),(3,5),(4,8),(6,7)]=>23
[(1,8),(2,10),(3,5),(4,9),(6,7)]=>23
[(1,7),(2,10),(3,5),(4,9),(6,8)]=>23
[(1,6),(2,10),(3,5),(4,9),(7,8)]=>21
[(1,5),(2,10),(3,6),(4,9),(7,8)]=>21
[(1,4),(2,10),(3,6),(5,9),(7,8)]=>19
[(1,3),(2,10),(4,6),(5,9),(7,8)]=>17
[(1,2),(3,10),(4,6),(5,9),(7,8)]=>15
[(1,2),(3,9),(4,6),(5,10),(7,8)]=>15
[(1,3),(2,9),(4,6),(5,10),(7,8)]=>17
[(1,4),(2,9),(3,6),(5,10),(7,8)]=>19
[(1,5),(2,9),(3,6),(4,10),(7,8)]=>21
[(1,6),(2,9),(3,5),(4,10),(7,8)]=>21
[(1,7),(2,9),(3,5),(4,10),(6,8)]=>23
[(1,8),(2,9),(3,5),(4,10),(6,7)]=>23
[(1,9),(2,8),(3,5),(4,10),(6,7)]=>23
[(1,10),(2,8),(3,5),(4,9),(6,7)]=>23
[(1,10),(2,7),(3,5),(4,9),(6,8)]=>23
[(1,9),(2,7),(3,5),(4,10),(6,8)]=>23
[(1,8),(2,7),(3,5),(4,10),(6,9)]=>23
[(1,7),(2,8),(3,5),(4,10),(6,9)]=>23
[(1,6),(2,8),(3,5),(4,10),(7,9)]=>21
[(1,5),(2,8),(3,6),(4,10),(7,9)]=>21
[(1,4),(2,8),(3,6),(5,10),(7,9)]=>19
[(1,3),(2,8),(4,6),(5,10),(7,9)]=>17
[(1,2),(3,8),(4,6),(5,10),(7,9)]=>15
[(1,2),(3,7),(4,6),(5,10),(8,9)]=>13
[(1,3),(2,7),(4,6),(5,10),(8,9)]=>15
[(1,4),(2,7),(3,6),(5,10),(8,9)]=>17
[(1,5),(2,7),(3,6),(4,10),(8,9)]=>19
[(1,6),(2,7),(3,5),(4,10),(8,9)]=>19
[(1,7),(2,6),(3,5),(4,10),(8,9)]=>19
[(1,8),(2,6),(3,5),(4,10),(7,9)]=>21
[(1,9),(2,6),(3,5),(4,10),(7,8)]=>21
[(1,10),(2,6),(3,5),(4,9),(7,8)]=>21
[(1,10),(2,5),(3,6),(4,9),(7,8)]=>21
[(1,9),(2,5),(3,6),(4,10),(7,8)]=>21
[(1,8),(2,5),(3,6),(4,10),(7,9)]=>21
[(1,7),(2,5),(3,6),(4,10),(8,9)]=>19
[(1,6),(2,5),(3,7),(4,10),(8,9)]=>19
[(1,5),(2,6),(3,7),(4,10),(8,9)]=>19
[(1,4),(2,6),(3,7),(5,10),(8,9)]=>17
[(1,3),(2,6),(4,7),(5,10),(8,9)]=>15
[(1,2),(3,6),(4,7),(5,10),(8,9)]=>13
[(1,2),(3,5),(4,7),(6,10),(8,9)]=>11
[(1,3),(2,5),(4,7),(6,10),(8,9)]=>13
[(1,4),(2,5),(3,7),(6,10),(8,9)]=>15
[(1,5),(2,4),(3,7),(6,10),(8,9)]=>15
[(1,6),(2,4),(3,7),(5,10),(8,9)]=>17
[(1,7),(2,4),(3,6),(5,10),(8,9)]=>17
[(1,8),(2,4),(3,6),(5,10),(7,9)]=>19
[(1,9),(2,4),(3,6),(5,10),(7,8)]=>19
[(1,10),(2,4),(3,6),(5,9),(7,8)]=>19
[(1,10),(2,3),(4,6),(5,9),(7,8)]=>17
[(1,9),(2,3),(4,6),(5,10),(7,8)]=>17
[(1,8),(2,3),(4,6),(5,10),(7,9)]=>17
[(1,7),(2,3),(4,6),(5,10),(8,9)]=>15
[(1,6),(2,3),(4,7),(5,10),(8,9)]=>15
[(1,5),(2,3),(4,7),(6,10),(8,9)]=>13
[(1,4),(2,3),(5,7),(6,10),(8,9)]=>11
[(1,3),(2,4),(5,7),(6,10),(8,9)]=>11
[(1,2),(3,4),(5,7),(6,10),(8,9)]=>9
[(1,2),(3,4),(5,8),(6,10),(7,9)]=>11
[(1,3),(2,4),(5,8),(6,10),(7,9)]=>13
[(1,4),(2,3),(5,8),(6,10),(7,9)]=>13
[(1,5),(2,3),(4,8),(6,10),(7,9)]=>15
[(1,6),(2,3),(4,8),(5,10),(7,9)]=>17
[(1,7),(2,3),(4,8),(5,10),(6,9)]=>19
[(1,8),(2,3),(4,7),(5,10),(6,9)]=>19
[(1,9),(2,3),(4,7),(5,10),(6,8)]=>19
[(1,10),(2,3),(4,7),(5,9),(6,8)]=>19
[(1,10),(2,4),(3,7),(5,9),(6,8)]=>21
[(1,9),(2,4),(3,7),(5,10),(6,8)]=>21
[(1,8),(2,4),(3,7),(5,10),(6,9)]=>21
[(1,7),(2,4),(3,8),(5,10),(6,9)]=>21
[(1,6),(2,4),(3,8),(5,10),(7,9)]=>19
[(1,5),(2,4),(3,8),(6,10),(7,9)]=>17
[(1,4),(2,5),(3,8),(6,10),(7,9)]=>17
[(1,3),(2,5),(4,8),(6,10),(7,9)]=>15
[(1,2),(3,5),(4,8),(6,10),(7,9)]=>13
[(1,2),(3,6),(4,8),(5,10),(7,9)]=>15
[(1,3),(2,6),(4,8),(5,10),(7,9)]=>17
[(1,4),(2,6),(3,8),(5,10),(7,9)]=>19
[(1,5),(2,6),(3,8),(4,10),(7,9)]=>21
[(1,6),(2,5),(3,8),(4,10),(7,9)]=>21
[(1,7),(2,5),(3,8),(4,10),(6,9)]=>23
[(1,8),(2,5),(3,7),(4,10),(6,9)]=>23
[(1,9),(2,5),(3,7),(4,10),(6,8)]=>23
[(1,10),(2,5),(3,7),(4,9),(6,8)]=>23
[(1,10),(2,6),(3,7),(4,9),(5,8)]=>25
[(1,9),(2,6),(3,7),(4,10),(5,8)]=>25
[(1,8),(2,6),(3,7),(4,10),(5,9)]=>25
[(1,7),(2,6),(3,8),(4,10),(5,9)]=>25
[(1,6),(2,7),(3,8),(4,10),(5,9)]=>25
[(1,5),(2,7),(3,8),(4,10),(6,9)]=>23
[(1,4),(2,7),(3,8),(5,10),(6,9)]=>21
[(1,3),(2,7),(4,8),(5,10),(6,9)]=>19
[(1,2),(3,7),(4,8),(5,10),(6,9)]=>17
[(1,2),(3,8),(4,7),(5,10),(6,9)]=>17
[(1,3),(2,8),(4,7),(5,10),(6,9)]=>19
[(1,4),(2,8),(3,7),(5,10),(6,9)]=>21
[(1,5),(2,8),(3,7),(4,10),(6,9)]=>23
[(1,6),(2,8),(3,7),(4,10),(5,9)]=>25
[(1,7),(2,8),(3,6),(4,10),(5,9)]=>25
[(1,8),(2,7),(3,6),(4,10),(5,9)]=>25
[(1,9),(2,7),(3,6),(4,10),(5,8)]=>25
[(1,10),(2,7),(3,6),(4,9),(5,8)]=>25
[(1,10),(2,8),(3,6),(4,9),(5,7)]=>25
[(1,9),(2,8),(3,6),(4,10),(5,7)]=>25
[(1,8),(2,9),(3,6),(4,10),(5,7)]=>25
[(1,7),(2,9),(3,6),(4,10),(5,8)]=>25
[(1,6),(2,9),(3,7),(4,10),(5,8)]=>25
[(1,5),(2,9),(3,7),(4,10),(6,8)]=>23
[(1,4),(2,9),(3,7),(5,10),(6,8)]=>21
[(1,3),(2,9),(4,7),(5,10),(6,8)]=>19
[(1,2),(3,9),(4,7),(5,10),(6,8)]=>17
[(1,2),(3,10),(4,7),(5,9),(6,8)]=>17
[(1,3),(2,10),(4,7),(5,9),(6,8)]=>19
[(1,4),(2,10),(3,7),(5,9),(6,8)]=>21
[(1,5),(2,10),(3,7),(4,9),(6,8)]=>23
[(1,6),(2,10),(3,7),(4,9),(5,8)]=>25
[(1,7),(2,10),(3,6),(4,9),(5,8)]=>25
[(1,8),(2,10),(3,6),(4,9),(5,7)]=>25
[(1,9),(2,10),(3,6),(4,8),(5,7)]=>25
[(1,10),(2,9),(3,6),(4,8),(5,7)]=>25
[(1,10),(2,9),(3,7),(4,8),(5,6)]=>25
[(1,9),(2,10),(3,7),(4,8),(5,6)]=>25
[(1,8),(2,10),(3,7),(4,9),(5,6)]=>25
[(1,7),(2,10),(3,8),(4,9),(5,6)]=>25
[(1,6),(2,10),(3,8),(4,9),(5,7)]=>25
[(1,5),(2,10),(3,8),(4,9),(6,7)]=>23
[(1,4),(2,10),(3,8),(5,9),(6,7)]=>21
[(1,3),(2,10),(4,8),(5,9),(6,7)]=>19
[(1,2),(3,10),(4,8),(5,9),(6,7)]=>17
[(1,2),(3,9),(4,8),(5,10),(6,7)]=>17
[(1,3),(2,9),(4,8),(5,10),(6,7)]=>19
[(1,4),(2,9),(3,8),(5,10),(6,7)]=>21
[(1,5),(2,9),(3,8),(4,10),(6,7)]=>23
[(1,6),(2,9),(3,8),(4,10),(5,7)]=>25
[(1,7),(2,9),(3,8),(4,10),(5,6)]=>25
[(1,8),(2,9),(3,7),(4,10),(5,6)]=>25
[(1,9),(2,8),(3,7),(4,10),(5,6)]=>25
[(1,10),(2,8),(3,7),(4,9),(5,6)]=>25
[(1,10),(2,7),(3,8),(4,9),(5,6)]=>25
[(1,9),(2,7),(3,8),(4,10),(5,6)]=>25
[(1,8),(2,7),(3,9),(4,10),(5,6)]=>25
[(1,7),(2,8),(3,9),(4,10),(5,6)]=>25
[(1,6),(2,8),(3,9),(4,10),(5,7)]=>25
[(1,5),(2,8),(3,9),(4,10),(6,7)]=>23
[(1,4),(2,8),(3,9),(5,10),(6,7)]=>21
[(1,3),(2,8),(4,9),(5,10),(6,7)]=>19
[(1,2),(3,8),(4,9),(5,10),(6,7)]=>17
[(1,2),(3,7),(4,9),(5,10),(6,8)]=>17
[(1,3),(2,7),(4,9),(5,10),(6,8)]=>19
[(1,4),(2,7),(3,9),(5,10),(6,8)]=>21
[(1,5),(2,7),(3,9),(4,10),(6,8)]=>23
[(1,6),(2,7),(3,9),(4,10),(5,8)]=>25
[(1,7),(2,6),(3,9),(4,10),(5,8)]=>25
[(1,8),(2,6),(3,9),(4,10),(5,7)]=>25
[(1,9),(2,6),(3,8),(4,10),(5,7)]=>25
[(1,10),(2,6),(3,8),(4,9),(5,7)]=>25
[(1,10),(2,5),(3,8),(4,9),(6,7)]=>23
[(1,9),(2,5),(3,8),(4,10),(6,7)]=>23
[(1,8),(2,5),(3,9),(4,10),(6,7)]=>23
[(1,7),(2,5),(3,9),(4,10),(6,8)]=>23
[(1,6),(2,5),(3,9),(4,10),(7,8)]=>21
[(1,5),(2,6),(3,9),(4,10),(7,8)]=>21
[(1,4),(2,6),(3,9),(5,10),(7,8)]=>19
[(1,3),(2,6),(4,9),(5,10),(7,8)]=>17
[(1,2),(3,6),(4,9),(5,10),(7,8)]=>15
[(1,2),(3,5),(4,9),(6,10),(7,8)]=>13
[(1,3),(2,5),(4,9),(6,10),(7,8)]=>15
[(1,4),(2,5),(3,9),(6,10),(7,8)]=>17
[(1,5),(2,4),(3,9),(6,10),(7,8)]=>17
[(1,6),(2,4),(3,9),(5,10),(7,8)]=>19
[(1,7),(2,4),(3,9),(5,10),(6,8)]=>21
[(1,8),(2,4),(3,9),(5,10),(6,7)]=>21
[(1,9),(2,4),(3,8),(5,10),(6,7)]=>21
[(1,10),(2,4),(3,8),(5,9),(6,7)]=>21
[(1,10),(2,3),(4,8),(5,9),(6,7)]=>19
[(1,9),(2,3),(4,8),(5,10),(6,7)]=>19
[(1,8),(2,3),(4,9),(5,10),(6,7)]=>19
[(1,7),(2,3),(4,9),(5,10),(6,8)]=>19
[(1,6),(2,3),(4,9),(5,10),(7,8)]=>17
[(1,5),(2,3),(4,9),(6,10),(7,8)]=>15
[(1,4),(2,3),(5,9),(6,10),(7,8)]=>13
[(1,3),(2,4),(5,9),(6,10),(7,8)]=>13
[(1,2),(3,4),(5,9),(6,10),(7,8)]=>11
[(1,2),(3,4),(5,10),(6,9),(7,8)]=>11
[(1,3),(2,4),(5,10),(6,9),(7,8)]=>13
[(1,4),(2,3),(5,10),(6,9),(7,8)]=>13
[(1,5),(2,3),(4,10),(6,9),(7,8)]=>15
[(1,6),(2,3),(4,10),(5,9),(7,8)]=>17
[(1,7),(2,3),(4,10),(5,9),(6,8)]=>19
[(1,8),(2,3),(4,10),(5,9),(6,7)]=>19
[(1,9),(2,3),(4,10),(5,8),(6,7)]=>19
[(1,10),(2,3),(4,9),(5,8),(6,7)]=>19
[(1,10),(2,4),(3,9),(5,8),(6,7)]=>21
[(1,9),(2,4),(3,10),(5,8),(6,7)]=>21
[(1,8),(2,4),(3,10),(5,9),(6,7)]=>21
[(1,7),(2,4),(3,10),(5,9),(6,8)]=>21
[(1,6),(2,4),(3,10),(5,9),(7,8)]=>19
[(1,5),(2,4),(3,10),(6,9),(7,8)]=>17
[(1,4),(2,5),(3,10),(6,9),(7,8)]=>17
[(1,3),(2,5),(4,10),(6,9),(7,8)]=>15
[(1,2),(3,5),(4,10),(6,9),(7,8)]=>13
[(1,2),(3,6),(4,10),(5,9),(7,8)]=>15
[(1,3),(2,6),(4,10),(5,9),(7,8)]=>17
[(1,4),(2,6),(3,10),(5,9),(7,8)]=>19
[(1,5),(2,6),(3,10),(4,9),(7,8)]=>21
[(1,6),(2,5),(3,10),(4,9),(7,8)]=>21
[(1,7),(2,5),(3,10),(4,9),(6,8)]=>23
[(1,8),(2,5),(3,10),(4,9),(6,7)]=>23
[(1,9),(2,5),(3,10),(4,8),(6,7)]=>23
[(1,10),(2,5),(3,9),(4,8),(6,7)]=>23
[(1,10),(2,6),(3,9),(4,8),(5,7)]=>25
[(1,9),(2,6),(3,10),(4,8),(5,7)]=>25
[(1,8),(2,6),(3,10),(4,9),(5,7)]=>25
[(1,7),(2,6),(3,10),(4,9),(5,8)]=>25
[(1,6),(2,7),(3,10),(4,9),(5,8)]=>25
[(1,5),(2,7),(3,10),(4,9),(6,8)]=>23
[(1,4),(2,7),(3,10),(5,9),(6,8)]=>21
[(1,3),(2,7),(4,10),(5,9),(6,8)]=>19
[(1,2),(3,7),(4,10),(5,9),(6,8)]=>17
[(1,2),(3,8),(4,10),(5,9),(6,7)]=>17
[(1,3),(2,8),(4,10),(5,9),(6,7)]=>19
[(1,4),(2,8),(3,10),(5,9),(6,7)]=>21
[(1,5),(2,8),(3,10),(4,9),(6,7)]=>23
[(1,6),(2,8),(3,10),(4,9),(5,7)]=>25
[(1,7),(2,8),(3,10),(4,9),(5,6)]=>25
[(1,8),(2,7),(3,10),(4,9),(5,6)]=>25
[(1,9),(2,7),(3,10),(4,8),(5,6)]=>25
[(1,10),(2,7),(3,9),(4,8),(5,6)]=>25
[(1,10),(2,8),(3,9),(4,7),(5,6)]=>25
[(1,9),(2,8),(3,10),(4,7),(5,6)]=>25
[(1,8),(2,9),(3,10),(4,7),(5,6)]=>25
[(1,7),(2,9),(3,10),(4,8),(5,6)]=>25
[(1,6),(2,9),(3,10),(4,8),(5,7)]=>25
[(1,5),(2,9),(3,10),(4,8),(6,7)]=>23
[(1,4),(2,9),(3,10),(5,8),(6,7)]=>21
[(1,3),(2,9),(4,10),(5,8),(6,7)]=>19
[(1,2),(3,9),(4,10),(5,8),(6,7)]=>17
[(1,2),(3,10),(4,9),(5,8),(6,7)]=>17
[(1,3),(2,10),(4,9),(5,8),(6,7)]=>19
[(1,4),(2,10),(3,9),(5,8),(6,7)]=>21
[(1,5),(2,10),(3,9),(4,8),(6,7)]=>23
[(1,6),(2,10),(3,9),(4,8),(5,7)]=>25
[(1,7),(2,10),(3,9),(4,8),(5,6)]=>25
[(1,8),(2,10),(3,9),(4,7),(5,6)]=>25
[(1,9),(2,10),(3,8),(4,7),(5,6)]=>25
[(1,10),(2,9),(3,8),(4,7),(5,6)]=>25
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7)]=>36
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12)]=>18
[(1,12),(2,3),(4,9),(5,8),(6,7),(10,11)]=>22
[(1,2),(3,12),(4,9),(5,8),(6,7),(10,11)]=>20
[(1,10),(2,3),(4,9),(5,8),(6,7),(11,12)]=>20
[(1,12),(2,11),(3,4),(5,8),(6,7),(9,10)]=>26
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>8
[(1,12),(2,3),(4,11),(5,8),(6,7),(9,10)]=>24
[(1,2),(3,12),(4,11),(5,8),(6,7),(9,10)]=>22
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12)]=>10
[(1,12),(2,9),(3,4),(5,8),(6,7),(10,11)]=>24
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>10
[(1,10),(2,9),(3,4),(5,8),(6,7),(11,12)]=>22
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11)]=>12
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9)]=>30
[(1,2),(3,10),(4,5),(6,7),(8,9),(11,12)]=>12
[(1,12),(2,3),(4,5),(6,7),(8,9),(10,11)]=>16
[(1,2),(3,12),(4,5),(6,7),(8,9),(10,11)]=>14
[(1,10),(2,3),(4,5),(6,7),(8,9),(11,12)]=>14
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9)]=>28
[(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>10
[(1,12),(2,3),(4,11),(5,10),(6,7),(8,9)]=>26
[(1,2),(3,12),(4,11),(5,10),(6,7),(8,9)]=>24
[(1,4),(2,3),(5,10),(6,7),(8,9),(11,12)]=>12
[(1,12),(2,5),(3,4),(6,7),(8,9),(10,11)]=>18
[(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>12
[(1,10),(2,5),(3,4),(6,7),(8,9),(11,12)]=>16
[(1,4),(2,3),(5,12),(6,7),(8,9),(10,11)]=>14
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10)]=>28
[(1,2),(3,8),(4,5),(6,7),(9,10),(11,12)]=>10
[(1,12),(2,3),(4,5),(6,7),(8,11),(9,10)]=>18
[(1,2),(3,12),(4,5),(6,7),(8,11),(9,10)]=>16
[(1,8),(2,3),(4,5),(6,7),(9,10),(11,12)]=>12
[(1,12),(2,9),(3,8),(4,5),(6,7),(10,11)]=>26
[(1,2),(3,8),(4,5),(6,7),(9,12),(10,11)]=>12
[(1,10),(2,9),(3,8),(4,5),(6,7),(11,12)]=>24
[(1,8),(2,3),(4,5),(6,7),(9,12),(10,11)]=>14
[(1,12),(2,5),(3,4),(6,7),(8,11),(9,10)]=>20
[(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>14
[(1,8),(2,5),(3,4),(6,7),(9,10),(11,12)]=>14
[(1,4),(2,3),(5,12),(6,7),(8,11),(9,10)]=>16
[(1,8),(2,5),(3,4),(6,7),(9,12),(10,11)]=>16
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8)]=>34
[(1,2),(3,10),(4,9),(5,6),(7,8),(11,12)]=>16
[(1,12),(2,3),(4,9),(5,6),(7,8),(10,11)]=>20
[(1,2),(3,12),(4,9),(5,6),(7,8),(10,11)]=>18
[(1,10),(2,3),(4,9),(5,6),(7,8),(11,12)]=>18
[(1,12),(2,11),(3,4),(5,6),(7,8),(9,10)]=>24
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>6
[(1,12),(2,3),(4,11),(5,6),(7,8),(9,10)]=>22
[(1,2),(3,12),(4,11),(5,6),(7,8),(9,10)]=>20
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12)]=>8
[(1,12),(2,9),(3,4),(5,6),(7,8),(10,11)]=>22
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>8
[(1,10),(2,9),(3,4),(5,6),(7,8),(11,12)]=>20
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11)]=>10
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8)]=>32
[(1,2),(3,10),(4,5),(6,9),(7,8),(11,12)]=>14
[(1,12),(2,3),(4,5),(6,9),(7,8),(10,11)]=>18
[(1,2),(3,12),(4,5),(6,9),(7,8),(10,11)]=>16
[(1,10),(2,3),(4,5),(6,9),(7,8),(11,12)]=>16
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8)]=>30
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>12
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8)]=>28
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8)]=>26
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12)]=>14
[(1,12),(2,5),(3,4),(6,9),(7,8),(10,11)]=>20
[(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>14
[(1,10),(2,5),(3,4),(6,9),(7,8),(11,12)]=>18
[(1,4),(2,3),(5,12),(6,9),(7,8),(10,11)]=>16
[(1,12),(2,11),(3,6),(4,5),(7,8),(9,10)]=>26
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12)]=>8
[(1,12),(2,3),(4,5),(6,11),(7,8),(9,10)]=>20
[(1,2),(3,12),(4,5),(6,11),(7,8),(9,10)]=>18
[(1,6),(2,3),(4,5),(7,8),(9,10),(11,12)]=>10
[(1,12),(2,9),(3,6),(4,5),(7,8),(10,11)]=>24
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11)]=>10
[(1,10),(2,9),(3,6),(4,5),(7,8),(11,12)]=>22
[(1,6),(2,3),(4,5),(7,8),(9,12),(10,11)]=>12
[(1,12),(2,5),(3,4),(6,11),(7,8),(9,10)]=>22
[(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>16
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12)]=>12
[(1,4),(2,3),(5,12),(6,11),(7,8),(9,10)]=>18
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11)]=>14
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9)]=>32
[(1,2),(3,10),(4,7),(5,6),(8,9),(11,12)]=>14
[(1,12),(2,3),(4,7),(5,6),(8,9),(10,11)]=>18
[(1,2),(3,12),(4,7),(5,6),(8,9),(10,11)]=>16
[(1,10),(2,3),(4,7),(5,6),(8,9),(11,12)]=>16
[(1,12),(2,11),(3,4),(5,6),(7,10),(8,9)]=>26
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>8
[(1,12),(2,3),(4,11),(5,6),(7,10),(8,9)]=>24
[(1,2),(3,12),(4,11),(5,6),(7,10),(8,9)]=>22
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12)]=>10
[(1,12),(2,7),(3,4),(5,6),(8,9),(10,11)]=>20
[(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>10
[(1,10),(2,7),(3,4),(5,6),(8,9),(11,12)]=>18
[(1,4),(2,3),(5,6),(7,12),(8,9),(10,11)]=>12
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10)]=>30
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12)]=>12
[(1,12),(2,3),(4,7),(5,6),(8,11),(9,10)]=>20
[(1,2),(3,12),(4,7),(5,6),(8,11),(9,10)]=>18
[(1,8),(2,3),(4,7),(5,6),(9,10),(11,12)]=>14
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11)]=>28
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11)]=>14
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12)]=>26
[(1,8),(2,3),(4,7),(5,6),(9,12),(10,11)]=>16
[(1,12),(2,7),(3,4),(5,6),(8,11),(9,10)]=>22
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>12
[(1,8),(2,7),(3,4),(5,6),(9,10),(11,12)]=>16
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10)]=>14
[(1,8),(2,7),(3,4),(5,6),(9,12),(10,11)]=>18
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9)]=>28
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12)]=>10
[(1,12),(2,3),(4,5),(6,11),(7,10),(8,9)]=>22
[(1,2),(3,12),(4,5),(6,11),(7,10),(8,9)]=>20
[(1,6),(2,3),(4,5),(7,10),(8,9),(11,12)]=>12
[(1,12),(2,7),(3,6),(4,5),(8,9),(10,11)]=>22
[(1,2),(3,6),(4,5),(7,12),(8,9),(10,11)]=>12
[(1,10),(2,7),(3,6),(4,5),(8,9),(11,12)]=>20
[(1,6),(2,3),(4,5),(7,12),(8,9),(10,11)]=>14
[(1,12),(2,5),(3,4),(6,11),(7,10),(8,9)]=>24
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>18
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12)]=>14
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9)]=>20
[(1,6),(2,5),(3,4),(7,12),(8,9),(10,11)]=>16
[(1,12),(2,7),(3,6),(4,5),(8,11),(9,10)]=>24
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10)]=>14
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12)]=>18
[(1,6),(2,3),(4,5),(7,12),(8,11),(9,10)]=>16
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11)]=>20
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10)]=>18
[(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>8
[(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>8
[(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>10
[(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>12
[(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>8
[(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>10
[(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>10
[(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>12
[(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>14
[(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>12
[(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>14
[(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>16
[(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>18
[(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>8
[(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>10
[(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>10
[(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>12
[(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>14
[(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>10
[(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>14
[(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>16
[(1,2),(3,5),(4,8),(6,9),(7,10),(11,12)]=>14
[(1,2),(3,5),(4,8),(6,9),(7,11),(10,12)]=>16
[(1,2),(3,5),(4,8),(6,10),(7,11),(9,12)]=>18
[(1,2),(3,5),(4,9),(6,10),(7,11),(8,12)]=>20
[(1,2),(3,6),(4,7),(5,8),(9,10),(11,12)]=>12
[(1,2),(3,6),(4,7),(5,8),(9,11),(10,12)]=>14
[(1,2),(3,6),(4,7),(5,9),(8,10),(11,12)]=>14
[(1,2),(3,6),(4,7),(5,9),(8,11),(10,12)]=>16
[(1,2),(3,6),(4,7),(5,10),(8,11),(9,12)]=>18
[(1,2),(3,6),(4,8),(5,9),(7,10),(11,12)]=>16
[(1,2),(3,6),(4,8),(5,9),(7,11),(10,12)]=>18
[(1,2),(3,6),(4,8),(5,10),(7,11),(9,12)]=>20
[(1,2),(3,6),(4,9),(5,10),(7,11),(8,12)]=>22
[(1,2),(3,7),(4,8),(5,9),(6,10),(11,12)]=>18
[(1,2),(3,7),(4,8),(5,9),(6,11),(10,12)]=>20
[(1,2),(3,7),(4,8),(5,10),(6,11),(9,12)]=>22
[(1,2),(3,7),(4,9),(5,10),(6,11),(8,12)]=>24
[(1,2),(3,8),(4,9),(5,10),(6,11),(7,12)]=>26
[(1,3),(2,4),(5,6),(7,8),(9,10),(11,12)]=>8
[(1,3),(2,4),(5,6),(7,8),(9,11),(10,12)]=>10
[(1,3),(2,4),(5,6),(7,9),(8,10),(11,12)]=>10
[(1,3),(2,4),(5,6),(7,9),(8,11),(10,12)]=>12
[(1,3),(2,4),(5,6),(7,10),(8,11),(9,12)]=>14
[(1,3),(2,4),(5,7),(6,8),(9,10),(11,12)]=>10
[(1,3),(2,4),(5,7),(6,8),(9,11),(10,12)]=>12
[(1,3),(2,4),(5,7),(6,9),(8,10),(11,12)]=>12
[(1,3),(2,4),(5,7),(6,9),(8,11),(10,12)]=>14
[(1,3),(2,4),(5,7),(6,10),(8,11),(9,12)]=>16
[(1,3),(2,4),(5,8),(6,9),(7,10),(11,12)]=>14
[(1,3),(2,4),(5,8),(6,9),(7,11),(10,12)]=>16
[(1,3),(2,4),(5,8),(6,10),(7,11),(9,12)]=>18
[(1,3),(2,4),(5,9),(6,10),(7,11),(8,12)]=>20
[(1,3),(2,5),(4,6),(7,8),(9,10),(11,12)]=>10
[(1,3),(2,5),(4,6),(7,8),(9,11),(10,12)]=>12
[(1,3),(2,5),(4,6),(7,9),(8,10),(11,12)]=>12
[(1,3),(2,5),(4,6),(7,9),(8,11),(10,12)]=>14
[(1,3),(2,5),(4,6),(7,10),(8,11),(9,12)]=>16
[(1,3),(2,5),(4,7),(6,8),(9,10),(11,12)]=>12
[(1,3),(2,5),(4,7),(6,8),(9,11),(10,12)]=>14
[(1,3),(2,5),(4,7),(6,9),(8,10),(11,12)]=>14
[(1,3),(2,5),(4,7),(6,9),(8,11),(10,12)]=>16
[(1,3),(2,5),(4,7),(6,10),(8,11),(9,12)]=>18
[(1,3),(2,5),(4,8),(6,9),(7,10),(11,12)]=>16
[(1,3),(2,5),(4,8),(6,9),(7,11),(10,12)]=>18
[(1,3),(2,5),(4,8),(6,10),(7,11),(9,12)]=>20
[(1,3),(2,5),(4,9),(6,10),(7,11),(8,12)]=>22
[(1,3),(2,6),(4,7),(5,8),(9,10),(11,12)]=>14
[(1,3),(2,6),(4,7),(5,8),(9,11),(10,12)]=>16
[(1,3),(2,6),(4,7),(5,9),(8,10),(11,12)]=>16
[(1,3),(2,6),(4,7),(5,9),(8,11),(10,12)]=>18
[(1,3),(2,6),(4,7),(5,10),(8,11),(9,12)]=>20
[(1,3),(2,6),(4,8),(5,9),(7,10),(11,12)]=>18
[(1,3),(2,6),(4,8),(5,9),(7,11),(10,12)]=>20
[(1,3),(2,6),(4,8),(5,10),(7,11),(9,12)]=>22
[(1,3),(2,6),(4,9),(5,10),(7,11),(8,12)]=>24
[(1,3),(2,7),(4,8),(5,9),(6,10),(11,12)]=>20
[(1,3),(2,7),(4,8),(5,9),(6,11),(10,12)]=>22
[(1,3),(2,7),(4,8),(5,10),(6,11),(9,12)]=>24
[(1,3),(2,7),(4,9),(5,10),(6,11),(8,12)]=>26
[(1,3),(2,8),(4,9),(5,10),(6,11),(7,12)]=>28
[(1,4),(2,5),(3,6),(7,8),(9,10),(11,12)]=>12
[(1,4),(2,5),(3,6),(7,8),(9,11),(10,12)]=>14
[(1,4),(2,5),(3,6),(7,9),(8,10),(11,12)]=>14
[(1,4),(2,5),(3,6),(7,9),(8,11),(10,12)]=>16
[(1,4),(2,5),(3,6),(7,10),(8,11),(9,12)]=>18
[(1,4),(2,5),(3,7),(6,8),(9,10),(11,12)]=>14
[(1,4),(2,5),(3,7),(6,8),(9,11),(10,12)]=>16
[(1,4),(2,5),(3,7),(6,9),(8,10),(11,12)]=>16
[(1,4),(2,5),(3,7),(6,9),(8,11),(10,12)]=>18
[(1,4),(2,5),(3,7),(6,10),(8,11),(9,12)]=>20
[(1,4),(2,5),(3,8),(6,9),(7,10),(11,12)]=>18
[(1,4),(2,5),(3,8),(6,9),(7,11),(10,12)]=>20
[(1,4),(2,5),(3,8),(6,10),(7,11),(9,12)]=>22
[(1,4),(2,5),(3,9),(6,10),(7,11),(8,12)]=>24
[(1,4),(2,6),(3,7),(5,8),(9,10),(11,12)]=>16
[(1,4),(2,6),(3,7),(5,8),(9,11),(10,12)]=>18
[(1,4),(2,6),(3,7),(5,9),(8,10),(11,12)]=>18
[(1,4),(2,6),(3,7),(5,9),(8,11),(10,12)]=>20
[(1,4),(2,6),(3,7),(5,10),(8,11),(9,12)]=>22
[(1,4),(2,6),(3,8),(5,9),(7,10),(11,12)]=>20
[(1,4),(2,6),(3,8),(5,9),(7,11),(10,12)]=>22
[(1,4),(2,6),(3,8),(5,10),(7,11),(9,12)]=>24
[(1,4),(2,6),(3,9),(5,10),(7,11),(8,12)]=>26
[(1,4),(2,7),(3,8),(5,9),(6,10),(11,12)]=>22
[(1,4),(2,7),(3,8),(5,9),(6,11),(10,12)]=>24
[(1,4),(2,7),(3,8),(5,10),(6,11),(9,12)]=>26
[(1,4),(2,7),(3,9),(5,10),(6,11),(8,12)]=>28
[(1,4),(2,8),(3,9),(5,10),(6,11),(7,12)]=>30
[(1,5),(2,6),(3,7),(4,8),(9,10),(11,12)]=>18
[(1,5),(2,6),(3,7),(4,8),(9,11),(10,12)]=>20
[(1,5),(2,6),(3,7),(4,9),(8,10),(11,12)]=>20
[(1,5),(2,6),(3,7),(4,9),(8,11),(10,12)]=>22
[(1,5),(2,6),(3,7),(4,10),(8,11),(9,12)]=>24
[(1,5),(2,6),(3,8),(4,9),(7,10),(11,12)]=>22
[(1,5),(2,6),(3,8),(4,9),(7,11),(10,12)]=>24
[(1,5),(2,6),(3,8),(4,10),(7,11),(9,12)]=>26
[(1,5),(2,6),(3,9),(4,10),(7,11),(8,12)]=>28
[(1,5),(2,7),(3,8),(4,9),(6,10),(11,12)]=>24
[(1,5),(2,7),(3,8),(4,9),(6,11),(10,12)]=>26
[(1,5),(2,7),(3,8),(4,10),(6,11),(9,12)]=>28
[(1,5),(2,7),(3,9),(4,10),(6,11),(8,12)]=>30
[(1,5),(2,8),(3,9),(4,10),(6,11),(7,12)]=>32
[(1,6),(2,7),(3,8),(4,9),(5,10),(11,12)]=>26
[(1,6),(2,7),(3,8),(4,9),(5,11),(10,12)]=>28
[(1,6),(2,7),(3,8),(4,10),(5,11),(9,12)]=>30
[(1,6),(2,7),(3,9),(4,10),(5,11),(8,12)]=>32
[(1,6),(2,8),(3,9),(4,10),(5,11),(7,12)]=>34
[(1,7),(2,8),(3,9),(4,10),(5,11),(6,12)]=>36
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14)]=>7
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,14),(12,13)]=>9
[(1,2),(3,4),(5,6),(7,8),(9,12),(10,11),(13,14)]=>9
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,11),(12,13)]=>11
[(1,2),(3,4),(5,6),(7,8),(9,14),(10,13),(11,12)]=>13
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,12),(13,14)]=>9
[(1,2),(3,4),(5,6),(7,10),(8,9),(11,14),(12,13)]=>11
[(1,2),(3,4),(5,6),(7,14),(8,9),(10,11),(12,13)]=>13
[(1,2),(3,4),(5,6),(7,12),(8,11),(9,10),(13,14)]=>13
[(1,2),(3,4),(5,6),(7,14),(8,11),(9,10),(12,13)]=>15
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,10),(11,12)]=>17
[(1,2),(3,4),(5,6),(7,14),(8,13),(9,12),(10,11)]=>19
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,12),(13,14)]=>9
[(1,2),(3,4),(5,8),(6,7),(9,10),(11,14),(12,13)]=>11
[(1,2),(3,4),(5,8),(6,7),(9,12),(10,11),(13,14)]=>11
[(1,2),(3,4),(5,8),(6,7),(9,14),(10,13),(11,12)]=>15
[(1,2),(3,4),(5,14),(6,7),(8,9),(10,11),(12,13)]=>15
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,12),(13,14)]=>13
[(1,2),(3,4),(5,10),(6,9),(7,8),(11,14),(12,13)]=>15
[(1,2),(3,4),(5,14),(6,9),(7,8),(10,11),(12,13)]=>17
[(1,2),(3,4),(5,14),(6,11),(7,8),(9,10),(12,13)]=>19
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,10),(11,12)]=>21
[(1,2),(3,4),(5,14),(6,13),(7,8),(9,12),(10,11)]=>23
[(1,2),(3,4),(5,12),(6,11),(7,10),(8,9),(13,14)]=>19
[(1,2),(3,4),(5,14),(6,11),(7,10),(8,9),(12,13)]=>21
[(1,2),(3,4),(5,14),(6,13),(7,12),(8,9),(10,11)]=>25
[(1,2),(3,4),(5,14),(6,13),(7,12),(8,11),(9,10)]=>27
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,12),(13,14)]=>9
[(1,2),(3,6),(4,5),(7,8),(9,10),(11,14),(12,13)]=>11
[(1,2),(3,6),(4,5),(7,8),(9,12),(10,11),(13,14)]=>11
[(1,2),(3,6),(4,5),(7,8),(9,14),(10,13),(11,12)]=>15
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,12),(13,14)]=>11
[(1,2),(3,6),(4,5),(7,10),(8,9),(11,14),(12,13)]=>13
[(1,2),(3,6),(4,5),(7,12),(8,11),(9,10),(13,14)]=>15
[(1,2),(3,6),(4,5),(7,14),(8,13),(9,12),(10,11)]=>21
[(1,2),(3,14),(4,5),(6,7),(8,9),(10,11),(12,13)]=>17
[(1,2),(3,14),(4,5),(6,13),(7,12),(8,11),(9,10)]=>29
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,12),(13,14)]=>13
[(1,2),(3,8),(4,7),(5,6),(9,10),(11,14),(12,13)]=>15
[(1,2),(3,8),(4,7),(5,6),(9,12),(10,11),(13,14)]=>15
[(1,2),(3,8),(4,7),(5,6),(9,14),(10,13),(11,12)]=>19
[(1,2),(3,14),(4,7),(5,6),(8,9),(10,11),(12,13)]=>19
[(1,2),(3,14),(4,9),(5,6),(7,8),(10,11),(12,13)]=>21
[(1,2),(3,14),(4,11),(5,6),(7,8),(9,10),(12,13)]=>23
[(1,2),(3,14),(4,11),(5,6),(7,10),(8,9),(12,13)]=>25
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,9),(10,11)]=>29
[(1,2),(3,14),(4,13),(5,6),(7,12),(8,11),(9,10)]=>31
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,12),(13,14)]=>19
[(1,2),(3,10),(4,9),(5,8),(6,7),(11,14),(12,13)]=>21
[(1,2),(3,14),(4,9),(5,8),(6,7),(10,11),(12,13)]=>23
[(1,2),(3,14),(4,13),(5,8),(6,7),(9,12),(10,11)]=>29
[(1,2),(3,14),(4,11),(5,10),(6,7),(8,9),(12,13)]=>27
[(1,2),(3,14),(4,13),(5,10),(6,7),(8,9),(11,12)]=>29
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,9),(10,11)]=>31
[(1,2),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10)]=>33
[(1,2),(3,12),(4,11),(5,10),(6,9),(7,8),(13,14)]=>27
[(1,2),(3,14),(4,11),(5,10),(6,9),(7,8),(12,13)]=>29
[(1,2),(3,14),(4,13),(5,10),(6,9),(7,8),(11,12)]=>31
[(1,2),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11)]=>33
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10)]=>35
[(1,2),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9)]=>37
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,12),(13,14)]=>9
[(1,4),(2,3),(5,6),(7,8),(9,10),(11,14),(12,13)]=>11
[(1,4),(2,3),(5,6),(7,8),(9,12),(10,11),(13,14)]=>11
[(1,4),(2,3),(5,6),(7,8),(9,14),(10,13),(11,12)]=>15
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,12),(13,14)]=>11
[(1,4),(2,3),(5,6),(7,10),(8,9),(11,14),(12,13)]=>13
[(1,4),(2,3),(5,6),(7,12),(8,11),(9,10),(13,14)]=>15
[(1,4),(2,3),(5,6),(7,14),(8,13),(9,12),(10,11)]=>21
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,12),(13,14)]=>11
[(1,4),(2,3),(5,8),(6,7),(9,10),(11,14),(12,13)]=>13
[(1,4),(2,3),(5,8),(6,7),(9,12),(10,11),(13,14)]=>13
[(1,4),(2,3),(5,8),(6,7),(9,14),(10,13),(11,12)]=>17
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,12),(13,14)]=>15
[(1,4),(2,3),(5,10),(6,9),(7,8),(11,14),(12,13)]=>17
[(1,4),(2,3),(5,12),(6,11),(7,10),(8,9),(13,14)]=>21
[(1,4),(2,3),(5,14),(6,13),(7,12),(8,11),(9,10)]=>29
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13)]=>19
[(1,14),(2,3),(4,5),(6,7),(8,9),(10,13),(11,12)]=>21
[(1,14),(2,3),(4,5),(6,7),(8,11),(9,10),(12,13)]=>21
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,10),(11,12)]=>23
[(1,14),(2,3),(4,5),(6,7),(8,13),(9,12),(10,11)]=>25
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,11),(12,13)]=>21
[(1,14),(2,3),(4,5),(6,9),(7,8),(10,13),(11,12)]=>23
[(1,14),(2,3),(4,5),(6,11),(7,8),(9,10),(12,13)]=>23
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,10),(11,12)]=>25
[(1,14),(2,3),(4,5),(6,13),(7,8),(9,12),(10,11)]=>27
[(1,14),(2,3),(4,5),(6,11),(7,10),(8,9),(12,13)]=>25
[(1,14),(2,3),(4,5),(6,13),(7,10),(8,9),(11,12)]=>27
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,9),(10,11)]=>29
[(1,14),(2,3),(4,5),(6,13),(7,12),(8,11),(9,10)]=>31
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,11),(12,13)]=>21
[(1,14),(2,3),(4,7),(5,6),(8,9),(10,13),(11,12)]=>23
[(1,14),(2,3),(4,7),(5,6),(8,11),(9,10),(12,13)]=>23
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,10),(11,12)]=>25
[(1,14),(2,3),(4,7),(5,6),(8,13),(9,12),(10,11)]=>27
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,11),(12,13)]=>23
[(1,14),(2,3),(4,9),(5,6),(7,8),(10,13),(11,12)]=>25
[(1,14),(2,3),(4,11),(5,6),(7,8),(9,10),(12,13)]=>25
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,10),(11,12)]=>27
[(1,14),(2,3),(4,13),(5,6),(7,8),(9,12),(10,11)]=>29
[(1,14),(2,3),(4,11),(5,6),(7,10),(8,9),(12,13)]=>27
[(1,14),(2,3),(4,13),(5,6),(7,10),(8,9),(11,12)]=>29
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,9),(10,11)]=>31
[(1,14),(2,3),(4,13),(5,6),(7,12),(8,11),(9,10)]=>33
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,11),(12,13)]=>25
[(1,14),(2,3),(4,9),(5,8),(6,7),(10,13),(11,12)]=>27
[(1,14),(2,3),(4,11),(5,8),(6,7),(9,10),(12,13)]=>27
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,10),(11,12)]=>29
[(1,14),(2,3),(4,13),(5,8),(6,7),(9,12),(10,11)]=>31
[(1,14),(2,3),(4,11),(5,10),(6,7),(8,9),(12,13)]=>29
[(1,14),(2,3),(4,13),(5,10),(6,7),(8,9),(11,12)]=>31
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,9),(10,11)]=>33
[(1,14),(2,3),(4,13),(5,12),(6,7),(8,11),(9,10)]=>35
[(1,12),(2,3),(4,11),(5,10),(6,9),(7,8),(13,14)]=>29
[(1,14),(2,3),(4,11),(5,10),(6,9),(7,8),(12,13)]=>31
[(1,14),(2,3),(4,13),(5,10),(6,9),(7,8),(11,12)]=>33
[(1,14),(2,3),(4,13),(5,12),(6,9),(7,8),(10,11)]=>35
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,8),(9,10)]=>37
[(1,14),(2,3),(4,13),(5,12),(6,11),(7,10),(8,9)]=>39
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,12),(13,14)]=>13
[(1,6),(2,5),(3,4),(7,8),(9,10),(11,14),(12,13)]=>15
[(1,6),(2,5),(3,4),(7,8),(9,12),(10,11),(13,14)]=>15
[(1,6),(2,5),(3,4),(7,8),(9,14),(10,13),(11,12)]=>19
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,12),(13,14)]=>15
[(1,6),(2,5),(3,4),(7,10),(8,9),(11,14),(12,13)]=>17
[(1,6),(2,5),(3,4),(7,12),(8,11),(9,10),(13,14)]=>19
[(1,6),(2,5),(3,4),(7,14),(8,13),(9,12),(10,11)]=>25
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13)]=>21
[(1,14),(2,5),(3,4),(6,7),(8,9),(10,13),(11,12)]=>23
[(1,14),(2,5),(3,4),(6,7),(8,11),(9,10),(12,13)]=>23
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,10),(11,12)]=>25
[(1,14),(2,5),(3,4),(6,7),(8,13),(9,12),(10,11)]=>27
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,11),(12,13)]=>23
[(1,14),(2,5),(3,4),(6,9),(7,8),(10,13),(11,12)]=>25
[(1,14),(2,5),(3,4),(6,11),(7,8),(9,10),(12,13)]=>25
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,10),(11,12)]=>27
[(1,14),(2,5),(3,4),(6,13),(7,8),(9,12),(10,11)]=>29
[(1,14),(2,5),(3,4),(6,11),(7,10),(8,9),(12,13)]=>27
[(1,14),(2,5),(3,4),(6,13),(7,10),(8,9),(11,12)]=>29
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,9),(10,11)]=>31
[(1,14),(2,5),(3,4),(6,13),(7,12),(8,11),(9,10)]=>33
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13)]=>23
[(1,14),(2,7),(3,4),(5,6),(8,9),(10,13),(11,12)]=>25
[(1,14),(2,7),(3,4),(5,6),(8,11),(9,10),(12,13)]=>25
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,10),(11,12)]=>27
[(1,14),(2,7),(3,4),(5,6),(8,13),(9,12),(10,11)]=>29
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,11),(12,13)]=>25
[(1,14),(2,9),(3,4),(5,6),(7,8),(10,13),(11,12)]=>27
[(1,14),(2,11),(3,4),(5,6),(7,8),(9,10),(12,13)]=>27
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,10),(11,12)]=>29
[(1,14),(2,13),(3,4),(5,6),(7,8),(9,12),(10,11)]=>31
[(1,14),(2,11),(3,4),(5,6),(7,10),(8,9),(12,13)]=>29
[(1,14),(2,13),(3,4),(5,6),(7,10),(8,9),(11,12)]=>31
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,9),(10,11)]=>33
[(1,14),(2,13),(3,4),(5,6),(7,12),(8,11),(9,10)]=>35
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,11),(12,13)]=>27
[(1,14),(2,9),(3,4),(5,8),(6,7),(10,13),(11,12)]=>29
[(1,14),(2,11),(3,4),(5,8),(6,7),(9,10),(12,13)]=>29
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,10),(11,12)]=>31
[(1,14),(2,13),(3,4),(5,8),(6,7),(9,12),(10,11)]=>33
[(1,12),(2,11),(3,4),(5,10),(6,7),(8,9),(13,14)]=>29
[(1,14),(2,11),(3,4),(5,10),(6,7),(8,9),(12,13)]=>31
[(1,14),(2,13),(3,4),(5,10),(6,7),(8,9),(11,12)]=>33
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,9),(10,11)]=>35
[(1,14),(2,13),(3,4),(5,12),(6,7),(8,11),(9,10)]=>37
[(1,12),(2,11),(3,4),(5,10),(6,9),(7,8),(13,14)]=>31
[(1,14),(2,11),(3,4),(5,10),(6,9),(7,8),(12,13)]=>33
[(1,14),(2,13),(3,4),(5,10),(6,9),(7,8),(11,12)]=>35
[(1,14),(2,13),(3,4),(5,12),(6,9),(7,8),(10,11)]=>37
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,8),(9,10)]=>39
[(1,14),(2,13),(3,4),(5,12),(6,11),(7,10),(8,9)]=>41
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,12),(13,14)]=>19
[(1,8),(2,7),(3,6),(4,5),(9,10),(11,14),(12,13)]=>21
[(1,8),(2,7),(3,6),(4,5),(9,12),(10,11),(13,14)]=>21
[(1,8),(2,7),(3,6),(4,5),(9,14),(10,13),(11,12)]=>25
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13)]=>25
[(1,14),(2,7),(3,6),(4,5),(8,9),(10,13),(11,12)]=>27
[(1,14),(2,7),(3,6),(4,5),(8,11),(9,10),(12,13)]=>27
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,10),(11,12)]=>29
[(1,14),(2,7),(3,6),(4,5),(8,13),(9,12),(10,11)]=>31
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,11),(12,13)]=>27
[(1,14),(2,9),(3,6),(4,5),(7,8),(10,13),(11,12)]=>29
[(1,14),(2,11),(3,6),(4,5),(7,8),(9,10),(12,13)]=>29
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,10),(11,12)]=>31
[(1,14),(2,13),(3,6),(4,5),(7,8),(9,12),(10,11)]=>33
[(1,12),(2,11),(3,6),(4,5),(7,10),(8,9),(13,14)]=>29
[(1,14),(2,11),(3,6),(4,5),(7,10),(8,9),(12,13)]=>31
[(1,14),(2,13),(3,6),(4,5),(7,10),(8,9),(11,12)]=>33
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,9),(10,11)]=>35
[(1,14),(2,13),(3,6),(4,5),(7,12),(8,11),(9,10)]=>37
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,11),(12,13)]=>29
[(1,14),(2,9),(3,8),(4,5),(6,7),(10,13),(11,12)]=>31
[(1,12),(2,11),(3,8),(4,5),(6,7),(9,10),(13,14)]=>29
[(1,14),(2,11),(3,8),(4,5),(6,7),(9,10),(12,13)]=>31
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,10),(11,12)]=>33
[(1,14),(2,13),(3,8),(4,5),(6,7),(9,12),(10,11)]=>35
[(1,12),(2,11),(3,10),(4,5),(6,7),(8,9),(13,14)]=>31
[(1,14),(2,11),(3,10),(4,5),(6,7),(8,9),(12,13)]=>33
[(1,14),(2,13),(3,10),(4,5),(6,7),(8,9),(11,12)]=>35
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,9),(10,11)]=>37
[(1,14),(2,13),(3,12),(4,5),(6,7),(8,11),(9,10)]=>39
[(1,12),(2,11),(3,10),(4,5),(6,9),(7,8),(13,14)]=>33
[(1,14),(2,11),(3,10),(4,5),(6,9),(7,8),(12,13)]=>35
[(1,14),(2,13),(3,10),(4,5),(6,9),(7,8),(11,12)]=>37
[(1,14),(2,13),(3,12),(4,5),(6,9),(7,8),(10,11)]=>39
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,8),(9,10)]=>41
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9)]=>43
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,12),(13,14)]=>27
[(1,10),(2,9),(3,8),(4,7),(5,6),(11,14),(12,13)]=>29
[(1,12),(2,9),(3,8),(4,7),(5,6),(10,11),(13,14)]=>29
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,11),(12,13)]=>31
[(1,14),(2,9),(3,8),(4,7),(5,6),(10,13),(11,12)]=>33
[(1,12),(2,11),(3,8),(4,7),(5,6),(9,10),(13,14)]=>31
[(1,14),(2,11),(3,8),(4,7),(5,6),(9,10),(12,13)]=>33
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,10),(11,12)]=>35
[(1,14),(2,13),(3,8),(4,7),(5,6),(9,12),(10,11)]=>37
[(1,12),(2,11),(3,10),(4,7),(5,6),(8,9),(13,14)]=>33
[(1,14),(2,11),(3,10),(4,7),(5,6),(8,9),(12,13)]=>35
[(1,14),(2,13),(3,10),(4,7),(5,6),(8,9),(11,12)]=>37
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,9),(10,11)]=>39
[(1,14),(2,13),(3,12),(4,7),(5,6),(8,11),(9,10)]=>41
[(1,12),(2,11),(3,10),(4,9),(5,6),(7,8),(13,14)]=>35
[(1,14),(2,11),(3,10),(4,9),(5,6),(7,8),(12,13)]=>37
[(1,14),(2,13),(3,10),(4,9),(5,6),(7,8),(11,12)]=>39
[(1,14),(2,13),(3,12),(4,9),(5,6),(7,8),(10,11)]=>41
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10)]=>43
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9)]=>45
[(1,12),(2,11),(3,10),(4,9),(5,8),(6,7),(13,14)]=>37
[(1,14),(2,11),(3,10),(4,9),(5,8),(6,7),(12,13)]=>39
[(1,14),(2,13),(3,10),(4,9),(5,8),(6,7),(11,12)]=>41
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11)]=>43
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10)]=>45
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9)]=>47
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8)]=>49
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16)]=>8
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,16),(14,15)]=>10
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,13),(14,15)]=>12
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,16),(12,15),(13,14)]=>14
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,11),(12,13),(14,15)]=>14
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,13),(11,12),(14,15)]=>16
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,12),(13,14)]=>18
[(1,2),(3,4),(5,6),(7,8),(9,16),(10,15),(11,14),(12,13)]=>20
[(1,2),(3,4),(5,6),(7,16),(8,9),(10,11),(12,13),(14,15)]=>16
[(1,2),(3,4),(5,6),(7,16),(8,11),(9,10),(12,13),(14,15)]=>18
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,10),(11,12),(14,15)]=>20
[(1,2),(3,4),(5,6),(7,16),(8,13),(9,12),(10,11),(14,15)]=>22
[(1,2),(3,4),(5,16),(6,7),(8,9),(10,11),(12,13),(14,15)]=>18
[(1,2),(3,4),(5,16),(6,9),(7,8),(10,11),(12,13),(14,15)]=>20
[(1,2),(3,4),(5,16),(6,11),(7,8),(9,10),(12,13),(14,15)]=>22
[(1,2),(3,4),(5,16),(6,11),(7,10),(8,9),(12,13),(14,15)]=>24
[(1,2),(3,16),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>20
[(1,2),(3,16),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15)]=>22
[(1,2),(3,16),(4,9),(5,6),(7,8),(10,11),(12,13),(14,15)]=>24
[(1,2),(3,16),(4,9),(5,8),(6,7),(10,11),(12,13),(14,15)]=>26
[(1,2),(3,16),(4,15),(5,14),(6,7),(8,13),(9,12),(10,11)]=>44
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,10),(11,12)]=>44
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,8),(9,12),(10,11)]=>46
[(1,2),(3,16),(4,15),(5,14),(6,11),(7,10),(8,9),(12,13)]=>44
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,10),(8,9),(11,12)]=>46
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11)]=>48
[(1,2),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10)]=>50
[(1,16),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15)]=>22
[(1,16),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15)]=>24
[(1,16),(2,7),(3,4),(5,6),(8,9),(10,11),(12,13),(14,15)]=>26
[(1,16),(2,7),(3,6),(4,5),(8,9),(10,11),(12,13),(14,15)]=>28
[(1,14),(2,13),(3,12),(4,5),(6,11),(7,10),(8,9),(15,16)]=>44
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,8),(9,10),(15,16)]=>44
[(1,14),(2,13),(3,12),(4,11),(5,6),(7,10),(8,9),(15,16)]=>46
[(1,14),(2,13),(3,12),(4,9),(5,8),(6,7),(10,11),(15,16)]=>44
[(1,14),(2,13),(3,12),(4,11),(5,8),(6,7),(9,10),(15,16)]=>46
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,7),(8,9),(15,16)]=>48
[(1,14),(2,13),(3,12),(4,11),(5,10),(6,9),(7,8),(15,16)]=>50
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18)]=>9
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,18),(16,17)]=>11
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,15),(16,17)]=>13
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,13),(14,15),(16,17)]=>15
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,11),(12,13),(14,15),(16,17)]=>17
[(1,2),(3,4),(5,6),(7,18),(8,9),(10,11),(12,13),(14,15),(16,17)]=>19
[(1,2),(3,4),(5,18),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>21
[(1,2),(3,18),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>23
[(1,18),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>25
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,18),(14,17),(15,16)]=>15
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,18),(12,15),(13,14),(16,17)]=>17
[(1,2),(3,4),(5,6),(7,8),(9,18),(10,13),(11,12),(14,15),(16,17)]=>19
[(1,2),(3,4),(5,6),(7,18),(8,11),(9,10),(12,13),(14,15),(16,17)]=>21
[(1,2),(3,4),(5,18),(6,9),(7,8),(10,11),(12,13),(14,15),(16,17)]=>23
[(1,2),(3,18),(4,7),(5,6),(8,9),(10,11),(12,13),(14,15),(16,17)]=>25
[(1,18),(2,5),(3,4),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17)]=>27
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,10),(8,9),(17,18)]=>65
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11)]=>65
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,11),(7,8),(9,10),(17,18)]=>63
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,10),(11,12)]=>63
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,9),(7,8),(10,11),(17,18)]=>61
[(1,16),(2,15),(3,14),(4,13),(5,12),(6,7),(8,11),(9,10),(17,18)]=>61
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,11),(9,10),(12,13)]=>61
[(1,2),(3,18),(4,17),(5,16),(6,15),(7,14),(8,9),(10,13),(11,12)]=>61
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20)]=>10
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,20),(18,19)]=>12
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,20),(16,17),(18,19)]=>14
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,12),(13,20),(14,15),(16,17),(18,19)]=>16
[(1,2),(3,4),(5,6),(7,8),(9,10),(11,20),(12,13),(14,15),(16,17),(18,19)]=>18
[(1,2),(3,4),(5,6),(7,8),(9,20),(10,11),(12,13),(14,15),(16,17),(18,19)]=>20
[(1,2),(3,4),(5,6),(7,20),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>22
[(1,2),(3,4),(5,20),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>24
[(1,2),(3,20),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>26
[(1,20),(2,3),(4,5),(6,7),(8,9),(10,11),(12,13),(14,15),(16,17),(18,19)]=>28
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,11),(9,10),(19,20)]=>82
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,13),(11,12)]=>82
[(1,18),(2,17),(3,16),(4,15),(5,14),(6,13),(7,12),(8,9),(10,11),(19,20)]=>80
[(1,2),(3,20),(4,19),(5,18),(6,17),(7,16),(8,15),(9,14),(10,11),(12,13)]=>80
[(1,20),(2,19),(3,18),(4,17),(5,16),(6,15),(7,14),(8,13),(9,12),(10,11),(21,22)]=>101
[(1,2),(3,22),(4,21),(5,20),(6,19),(7,18),(8,17),(9,16),(10,15),(11,14),(12,13)]=>101
[(1,2),(3,4),(5,6),(7,9),(8,12),(10,11)]=>10
[(1,2),(3,4),(5,6),(7,10),(8,12),(9,11)]=>12
[(1,2),(3,4),(5,6),(7,11),(8,9),(10,12)]=>10
[(1,2),(3,4),(5,6),(7,11),(8,10),(9,12)]=>12
[(1,2),(3,4),(5,6),(7,11),(8,12),(9,10)]=>12
[(1,2),(3,4),(5,6),(7,12),(8,10),(9,11)]=>12
[(1,2),(3,4),(5,7),(6,8),(9,12),(10,11)]=>10
[(1,2),(3,4),(5,7),(6,9),(8,12),(10,11)]=>12
[(1,2),(3,4),(5,7),(6,10),(8,9),(11,12)]=>10
[(1,2),(3,4),(5,7),(6,10),(8,12),(9,11)]=>14
[(1,2),(3,4),(5,7),(6,11),(8,9),(10,12)]=>12
[(1,2),(3,4),(5,7),(6,11),(8,10),(9,12)]=>14
[(1,2),(3,4),(5,7),(6,11),(8,12),(9,10)]=>14
[(1,2),(3,4),(5,7),(6,12),(8,9),(10,11)]=>12
[(1,2),(3,4),(5,7),(6,12),(8,10),(9,11)]=>14
[(1,2),(3,4),(5,7),(6,12),(8,11),(9,10)]=>14
[(1,2),(3,4),(5,8),(6,7),(9,11),(10,12)]=>10
[(1,2),(3,4),(5,8),(6,9),(7,12),(10,11)]=>14
[(1,2),(3,4),(5,8),(6,10),(7,12),(9,11)]=>16
[(1,2),(3,4),(5,8),(6,10),(7,9),(11,12)]=>12
[(1,2),(3,4),(5,8),(6,11),(7,12),(9,10)]=>16
[(1,2),(3,4),(5,8),(6,11),(7,10),(9,12)]=>16
[(1,2),(3,4),(5,8),(6,11),(7,9),(10,12)]=>14
[(1,2),(3,4),(5,8),(6,12),(7,11),(9,10)]=>16
[(1,2),(3,4),(5,8),(6,12),(7,10),(9,11)]=>16
[(1,2),(3,4),(5,8),(6,12),(7,9),(10,11)]=>14
[(1,2),(3,4),(5,9),(6,7),(8,10),(11,12)]=>10
[(1,2),(3,4),(5,9),(6,7),(8,11),(10,12)]=>12
[(1,2),(3,4),(5,9),(6,7),(8,12),(10,11)]=>12
[(1,2),(3,4),(5,9),(6,8),(7,12),(10,11)]=>14
[(1,2),(3,4),(5,9),(6,8),(7,11),(10,12)]=>14
[(1,2),(3,4),(5,9),(6,8),(7,10),(11,12)]=>12
[(1,2),(3,4),(5,9),(6,10),(7,12),(8,11)]=>18
[(1,2),(3,4),(5,9),(6,10),(7,8),(11,12)]=>12
[(1,2),(3,4),(5,9),(6,11),(7,12),(8,10)]=>18
[(1,2),(3,4),(5,9),(6,11),(7,10),(8,12)]=>18
[(1,2),(3,4),(5,9),(6,11),(7,8),(10,12)]=>14
[(1,2),(3,4),(5,9),(6,12),(7,11),(8,10)]=>18
[(1,2),(3,4),(5,9),(6,12),(7,10),(8,11)]=>18
[(1,2),(3,4),(5,9),(6,12),(7,8),(10,11)]=>14
[(1,2),(3,4),(5,10),(6,7),(8,11),(9,12)]=>14
[(1,2),(3,4),(5,10),(6,7),(8,12),(9,11)]=>14
[(1,2),(3,4),(5,10),(6,8),(7,12),(9,11)]=>16
[(1,2),(3,4),(5,10),(6,8),(7,11),(9,12)]=>16
[(1,2),(3,4),(5,10),(6,8),(7,9),(11,12)]=>12
[(1,2),(3,4),(5,10),(6,9),(7,12),(8,11)]=>18
[(1,2),(3,4),(5,10),(6,9),(7,11),(8,12)]=>18
[(1,2),(3,4),(5,10),(6,11),(7,12),(8,9)]=>18
[(1,2),(3,4),(5,10),(6,11),(7,9),(8,12)]=>18
[(1,2),(3,4),(5,10),(6,11),(7,8),(9,12)]=>16
[(1,2),(3,4),(5,10),(6,12),(7,11),(8,9)]=>18
[(1,2),(3,4),(5,10),(6,12),(7,9),(8,11)]=>18
[(1,2),(3,4),(5,10),(6,12),(7,8),(9,11)]=>16
[(1,2),(3,4),(5,11),(6,7),(8,9),(10,12)]=>12
[(1,2),(3,4),(5,11),(6,7),(8,10),(9,12)]=>14
[(1,2),(3,4),(5,11),(6,7),(8,12),(9,10)]=>14
[(1,2),(3,4),(5,11),(6,8),(7,12),(9,10)]=>16
[(1,2),(3,4),(5,11),(6,8),(7,10),(9,12)]=>16
[(1,2),(3,4),(5,11),(6,8),(7,9),(10,12)]=>14
[(1,2),(3,4),(5,11),(6,9),(7,12),(8,10)]=>18
[(1,2),(3,4),(5,11),(6,9),(7,10),(8,12)]=>18
[(1,2),(3,4),(5,11),(6,9),(7,8),(10,12)]=>14
[(1,2),(3,4),(5,11),(6,10),(7,12),(8,9)]=>18
[(1,2),(3,4),(5,11),(6,10),(7,9),(8,12)]=>18
[(1,2),(3,4),(5,11),(6,10),(7,8),(9,12)]=>16
[(1,2),(3,4),(5,11),(6,12),(7,10),(8,9)]=>18
[(1,2),(3,4),(5,11),(6,12),(7,9),(8,10)]=>18
[(1,2),(3,4),(5,11),(6,12),(7,8),(9,10)]=>16
[(1,2),(3,4),(5,12),(6,7),(8,10),(9,11)]=>14
[(1,2),(3,4),(5,12),(6,8),(7,11),(9,10)]=>16
[(1,2),(3,4),(5,12),(6,8),(7,10),(9,11)]=>16
[(1,2),(3,4),(5,12),(6,8),(7,9),(10,11)]=>14
[(1,2),(3,4),(5,12),(6,9),(7,11),(8,10)]=>18
[(1,2),(3,4),(5,12),(6,9),(7,10),(8,11)]=>18
[(1,2),(3,4),(5,12),(6,10),(7,11),(8,9)]=>18
[(1,2),(3,4),(5,12),(6,10),(7,9),(8,11)]=>18
[(1,2),(3,4),(5,12),(6,10),(7,8),(9,11)]=>16
[(1,2),(3,4),(5,12),(6,11),(7,9),(8,10)]=>18
[(1,2),(3,5),(4,6),(7,8),(9,12),(10,11)]=>10
[(1,2),(3,5),(4,6),(7,9),(8,12),(10,11)]=>12
[(1,2),(3,5),(4,6),(7,10),(8,9),(11,12)]=>10
[(1,2),(3,5),(4,6),(7,10),(8,12),(9,11)]=>14
[(1,2),(3,5),(4,6),(7,11),(8,9),(10,12)]=>12
[(1,2),(3,5),(4,6),(7,11),(8,10),(9,12)]=>14
[(1,2),(3,5),(4,6),(7,11),(8,12),(9,10)]=>14
[(1,2),(3,5),(4,6),(7,12),(8,9),(10,11)]=>12
[(1,2),(3,5),(4,6),(7,12),(8,10),(9,11)]=>14
[(1,2),(3,5),(4,6),(7,12),(8,11),(9,10)]=>14
[(1,2),(3,5),(4,7),(6,8),(9,12),(10,11)]=>12
[(1,2),(3,5),(4,7),(6,9),(8,12),(10,11)]=>14
[(1,2),(3,5),(4,7),(6,10),(8,9),(11,12)]=>12
[(1,2),(3,5),(4,7),(6,10),(8,12),(9,11)]=>16
[(1,2),(3,5),(4,7),(6,11),(8,9),(10,12)]=>14
[(1,2),(3,5),(4,7),(6,11),(8,10),(9,12)]=>16
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 sum of the partition sizes in the oscillating tableau corresponding to a perfect matching.
Sundaram's map sends a perfect matching on $1,\dots,2n$ to a oscillating tableau, a sequence of $n$ partitions, starting and ending with the empty partition and where two consecutive partitions differ by precisely one cell.
This statistic is the sum of the sizes of these partitions, called the weight of the perfect matching in [1].
Sundaram's map sends a perfect matching on $1,\dots,2n$ to a oscillating tableau, a sequence of $n$ partitions, starting and ending with the empty partition and where two consecutive partitions differ by precisely one cell.
This statistic is the sum of the sizes of these partitions, called the weight of the perfect matching in [1].
References
[1] Hopkins, S., Zhang, I. A note on statistical averages for oscillating tableaux MathSciNet:3367291 arXiv:1408.6183
Code
def statistic(m): filling = {(min(e)-1,m.size()-max(e)): 1 for e in m} G = GrowthDiagram.rules.RSK()(filling, shape=[i for i in range(m.size()-1,0,-1)]) return sum(sum(p) for p in G.out_labels()[1::2])
Created
Mar 25, 2017 at 22:58 by Martin Rubey
Updated
Nov 11, 2021 at 12:47 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!