edit this statistic or download as text // json
Identifier
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 [(1,2),(3,4),(5,8),(6,7),(9,10),(11,12)]=>8 [(1,2),(3,4),(5,8),(6,7),(9,12),(10,11)]=>10 [(1,2),(3,4),(5,10),(6,7),(8,9),(11,12)]=>10 [(1,2),(3,4),(5,12),(6,7),(8,9),(10,11)]=>12 [(1,2),(3,4),(5,12),(6,7),(8,11),(9,10)]=>14 [(1,2),(3,4),(5,6),(7,8),(9,10),(11,12)]=>6 [(1,2),(3,4),(5,6),(7,8),(9,12),(10,11)]=>8 [(1,2),(3,4),(5,10),(6,9),(7,8),(11,12)]=>12 [(1,2),(3,4),(5,12),(6,9),(7,8),(10,11)]=>14 [(1,2),(3,4),(5,12),(6,11),(7,8),(9,10)]=>16 [(1,2),(3,4),(5,6),(7,10),(8,9),(11,12)]=>8 [(1,2),(3,4),(5,6),(7,12),(8,9),(10,11)]=>10 [(1,2),(3,4),(5,6),(7,12),(8,11),(9,10)]=>12 [(1,2),(3,4),(5,12),(6,11),(7,10),(8,9)]=>18 [(1,2),(3,4),(5,9),(6,10),(7,11),(8,12)]=>18 [(1,2),(3,4),(5,8),(6,10),(7,11),(9,12)]=>16 [(1,2),(3,5),(4,7),(6,10),(8,11),(9,12)]=>16 [(1,2),(3,4),(5,6),(7,9),(8,11),(10,12)]=>10 [(1,2),(3,4),(5,6),(7,8),(9,11),(10,12)]=>8 [(1,2),(3,5),(4,6),(7,9),(8,11),(10,12)]=>12 [(1,2),(3,5),(4,6),(7,8),(9,11),(10,12)]=>10 [(1,2),(3,4),(5,8),(6,9),(7,11),(10,12)]=>14 [(1,2),(3,5),(4,7),(6,9),(8,11),(10,12)]=>14 [(1,2),(3,5),(4,7),(6,8),(9,11),(10,12)]=>12 [(1,2),(3,4),(5,7),(6,9),(8,11),(10,12)]=>12 [(1,2),(3,4),(5,7),(6,8),(9,11),(10,12)]=>10 [(1,2),(3,4),(5,7),(6,10),(8,11),(9,12)]=>14 [(1,2),(3,4),(5,6),(7,10),(8,11),(9,12)]=>12 [(1,2),(3,4),(5,8),(6,9),(7,10),(11,12)]=>12 [(1,2),(3,5),(4,6),(7,10),(8,11),(9,12)]=>14 [(1,2),(3,5),(4,6),(7,9),(8,10),(11,12)]=>10 [(1,2),(3,5),(4,7),(6,8),(9,10),(11,12)]=>10 [(1,2),(3,4),(5,7),(6,9),(8,10),(11,12)]=>10 [(1,2),(3,5),(4,6),(7,8),(9,10),(11,12)]=>8 [(1,2),(3,4),(5,7),(6,8),(9,10),(11,12)]=>8 [(1,2),(3,4),(5,6),(7,9),(8,10),(11,12)]=>8 [(1,2),(3,5),(4,7),(6,9),(8,10),(11,12)]=>12 [(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
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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].
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 = GrowthDiagramRSK(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 12, 2017 at 14:50 by Martin Rubey