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Identifier
Values
=>
Cc0014;cc-rep
([],1)=>2 ([],2)=>4 ([(0,1)],2)=>3 ([],3)=>8 ([(1,2)],3)=>6 ([(0,1),(0,2)],3)=>5 ([(0,2),(2,1)],3)=>4 ([(0,2),(1,2)],3)=>5 ([],4)=>16 ([(2,3)],4)=>12 ([(1,2),(1,3)],4)=>10 ([(0,1),(0,2),(0,3)],4)=>9 ([(0,2),(0,3),(3,1)],4)=>7 ([(0,1),(0,2),(1,3),(2,3)],4)=>6 ([(1,2),(2,3)],4)=>8 ([(0,3),(3,1),(3,2)],4)=>6 ([(1,3),(2,3)],4)=>10 ([(0,3),(1,3),(3,2)],4)=>6 ([(0,3),(1,3),(2,3)],4)=>9 ([(0,3),(1,2)],4)=>9 ([(0,3),(1,2),(1,3)],4)=>8 ([(0,2),(0,3),(1,2),(1,3)],4)=>7 ([(0,3),(2,1),(3,2)],4)=>5 ([(0,3),(1,2),(2,3)],4)=>7 ([],5)=>32 ([(3,4)],5)=>24 ([(2,3),(2,4)],5)=>20 ([(1,2),(1,3),(1,4)],5)=>18 ([(0,1),(0,2),(0,3),(0,4)],5)=>17 ([(0,2),(0,3),(0,4),(4,1)],5)=>13 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>11 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>10 ([(1,3),(1,4),(4,2)],5)=>14 ([(0,3),(0,4),(4,1),(4,2)],5)=>11 ([(1,2),(1,3),(2,4),(3,4)],5)=>12 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>7 ([(0,3),(0,4),(3,2),(4,1)],5)=>10 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>9 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>8 ([(2,3),(3,4)],5)=>16 ([(1,4),(4,2),(4,3)],5)=>12 ([(0,4),(4,1),(4,2),(4,3)],5)=>10 ([(2,4),(3,4)],5)=>20 ([(1,4),(2,4),(4,3)],5)=>12 ([(0,4),(1,4),(4,2),(4,3)],5)=>8 ([(1,4),(2,4),(3,4)],5)=>18 ([(0,4),(1,4),(2,4),(4,3)],5)=>10 ([(0,4),(1,4),(2,4),(3,4)],5)=>17 ([(0,4),(1,4),(2,3)],5)=>15 ([(0,4),(1,3),(2,3),(2,4)],5)=>13 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>12 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>11 ([(0,4),(1,4),(2,3),(4,2)],5)=>7 ([(0,4),(1,3),(2,3),(3,4)],5)=>11 ([(0,4),(1,4),(2,3),(2,4)],5)=>14 ([(0,4),(1,4),(2,3),(3,4)],5)=>13 ([(1,4),(2,3)],5)=>18 ([(1,4),(2,3),(2,4)],5)=>16 ([(0,4),(1,2),(1,4),(2,3)],5)=>11 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>9 ([(1,3),(1,4),(2,3),(2,4)],5)=>14 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>9 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>8 ([(0,4),(1,2),(1,4),(4,3)],5)=>10 ([(0,4),(1,2),(1,3)],5)=>15 ([(0,4),(1,2),(1,3),(1,4)],5)=>14 ([(0,2),(0,4),(3,1),(4,3)],5)=>9 ([(0,4),(1,2),(1,3),(3,4)],5)=>12 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>8 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>11 ([(0,3),(0,4),(1,2),(1,4)],5)=>13 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>12 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>11 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>10 ([(0,3),(1,2),(1,4),(3,4)],5)=>11 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>9 ([(1,4),(3,2),(4,3)],5)=>10 ([(0,3),(3,4),(4,1),(4,2)],5)=>7 ([(1,4),(2,3),(3,4)],5)=>14 ([(0,4),(1,2),(2,4),(4,3)],5)=>8 ([(0,3),(1,4),(4,2)],5)=>12 ([(0,4),(3,2),(4,1),(4,3)],5)=>8 ([(0,4),(1,2),(2,3),(2,4)],5)=>10 ([(0,4),(2,3),(3,1),(4,2)],5)=>6 ([(0,3),(1,2),(2,4),(3,4)],5)=>10 ([(0,4),(1,2),(2,3),(3,4)],5)=>9 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>7 ([],6)=>64 ([(4,5)],6)=>48 ([(3,4),(3,5)],6)=>40 ([(2,3),(2,4),(2,5)],6)=>36 ([(1,2),(1,3),(1,4),(1,5)],6)=>34 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>33 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>25 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>21 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>19 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>18 ([(1,3),(1,4),(1,5),(5,2)],6)=>26 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>21 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>22 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>20 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>11 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>12 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>13 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>19 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>15 ([(2,3),(2,4),(4,5)],6)=>28 ([(1,4),(1,5),(5,2),(5,3)],6)=>22 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>19 ([(2,3),(2,4),(3,5),(4,5)],6)=>24 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>14 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>9 ([(1,4),(1,5),(4,3),(5,2)],6)=>20 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>16 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>10 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>9 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>11 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>16 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>14 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(3,4),(4,5)],6)=>32 ([(2,3),(3,4),(3,5)],6)=>24 ([(1,5),(5,2),(5,3),(5,4)],6)=>20 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>18 ([(2,3),(3,5),(5,4)],6)=>20 ([(1,4),(4,5),(5,2),(5,3)],6)=>14 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>11 ([(3,5),(4,5)],6)=>40 ([(2,5),(3,5),(5,4)],6)=>24 ([(1,5),(2,5),(5,3),(5,4)],6)=>16 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>12 ([(2,5),(3,5),(4,5)],6)=>36 ([(1,5),(2,5),(3,5),(5,4)],6)=>20 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>12 ([(1,5),(2,5),(3,5),(4,5)],6)=>34 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>18 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>33 ([(0,5),(1,5),(2,5),(3,4)],6)=>27 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>11 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>19 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>25 ([(1,5),(2,5),(3,4)],6)=>30 ([(1,5),(2,4),(3,4),(3,5)],6)=>26 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>16 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>14 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>24 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>13 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>22 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>12 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>14 ([(1,5),(2,5),(3,4),(5,3)],6)=>14 ([(1,5),(2,4),(3,4),(4,5)],6)=>22 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>12 ([(0,5),(1,5),(2,3),(5,4)],6)=>18 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>10 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>16 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>9 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>13 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>16 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>13 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>11 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>15 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>12 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>21 ([(1,5),(2,5),(3,4),(4,5)],6)=>26 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>14 ([(0,5),(1,5),(2,3),(3,4)],6)=>20 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>8 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>16 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>12 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>18 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>17 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>13 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>11 ([(0,5),(1,5),(2,4),(3,4)],6)=>25 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>23 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>21 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>20 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>19 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>13 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>9 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>21 ([(2,5),(3,4)],6)=>36 ([(2,5),(3,4),(3,5)],6)=>32 ([(1,5),(2,3),(2,5),(3,4)],6)=>22 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>13 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>11 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>18 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>10 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>14 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>12 ([(2,4),(2,5),(3,4),(3,5)],6)=>28 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>18 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>13 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>11 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>11 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>9 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>10 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>17 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>15 ([(1,5),(2,3),(2,5),(5,4)],6)=>20 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>20 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>16 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>18 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>17 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>15 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>14 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>19 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(1,3),(1,5),(4,2),(5,4)],6)=>18 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>13 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>13 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>12 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>10 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>12 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>11 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>16 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>9 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>22 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>12 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>17 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>16 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>15 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>17 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>10 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>8 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>13 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>16 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>22 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>15 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>13 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>12 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>20 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>13 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>12 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>11 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>18 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>12 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>13 ([(0,4),(0,5),(1,2),(1,3)],6)=>25 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>16 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>21 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>19 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>16 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>19 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>10 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>11 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>13 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>14 ([(1,4),(2,3),(2,5),(4,5)],6)=>22 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>13 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>18 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>11 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>10 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>15 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>12 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>13 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>11 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>12 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>12 ([(2,5),(3,4),(4,5)],6)=>28 ([(1,5),(2,3),(3,5),(5,4)],6)=>16 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>10 ([(1,3),(2,4),(4,5)],6)=>24 ([(1,5),(4,3),(5,2),(5,4)],6)=>16 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>12 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>14 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>16 ([(1,5),(3,4),(4,2),(5,3)],6)=>12 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>8 ([(1,4),(2,3),(3,5),(4,5)],6)=>20 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>11 ([(0,5),(1,4),(4,2),(5,3)],6)=>16 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>10 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>14 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(1,5),(2,3),(3,4),(4,5)],6)=>18 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>14 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>8 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>10 ([(0,5),(1,4),(2,3)],6)=>27 ([(0,5),(1,3),(2,4),(2,5)],6)=>24 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>14 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>12 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>19 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>11 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>17 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>12 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>21 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>15 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>15 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>20 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>18 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>16 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>14 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>11 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>9 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>10 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>20 ([(0,5),(1,3),(4,2),(5,4)],6)=>15 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>11 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>13 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>11 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>9 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>12 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>7 ([(0,5),(1,3),(2,4),(4,5)],6)=>21 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>9 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>15 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>11 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>8 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>13 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>9 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>19 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>65 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>49 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>34 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>41 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>19 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>20 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>22 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>37 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>37 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>14 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>13 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>31 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>28 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>35 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>28 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>26 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>18 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>34 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>19 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>34 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>65 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>19 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>35 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>49 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>26 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>12 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>20 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>28 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>34 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>21 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>33 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>21 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>37 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>25 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>41 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>38 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>18 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>20 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>22 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>23 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>22 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>14 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>12 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>20 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>10 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>17 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>17 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>20 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>19 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>12 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>9 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>34 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>18 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>9 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>21 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>14 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>22 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>26 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>13 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>23 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>18 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>34 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>15 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>27 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>37 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>15 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>19 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>31 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>17 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>29 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>28 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>18 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>24 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>20 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>24 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>18 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>20 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>34 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>33 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>26 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>34 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>25 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>15 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)=>16 ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>18 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)=>14 ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>29 ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>25 ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)=>18 ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)=>16 ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)=>17 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)=>12 ([(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>38 ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>21 ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>21 ([(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>26 ([(1,3),(1,5),(3,6),(4,2),(5,4),(5,6)],7)=>24 ([(0,2),(0,4),(2,5),(3,1),(3,6),(4,3),(4,5),(5,6)],7)=>14 ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)=>11 ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>19 ([(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>24 ([(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>22 ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>21 ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>27 ([(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>26 ([(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>24 ([(1,3),(1,5),(2,6),(3,6),(4,2),(5,4)],7)=>20 ([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7)=>11 ([(0,4),(1,3),(1,5),(3,6),(4,6),(5,2)],7)=>24 ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>19 ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>16 ([(0,6),(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>18 ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)=>13 ([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7)=>9 ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>22 ([(0,4),(0,5),(3,2),(4,3),(4,6),(5,1),(5,6)],7)=>19 ([(0,2),(0,3),(1,6),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>14 ([(0,3),(0,4),(2,6),(3,1),(3,5),(4,2),(4,5),(5,6)],7)=>16 ([(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>22 ([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)=>12 ([(0,5),(0,6),(1,2),(1,5),(1,6),(5,4),(6,3)],7)=>22 ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6)],7)=>22 ([(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>18 ([(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>26 ([(1,4),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>22 ([(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>24 ([(0,3),(0,6),(1,5),(1,6),(3,5),(5,2),(5,4),(6,4)],7)=>14 ([(0,2),(0,6),(1,5),(1,6),(2,4),(2,5),(5,3),(6,3),(6,4)],7)=>14 ([(0,5),(0,6),(1,4),(1,6),(4,2),(5,3)],7)=>25 ([(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>26 ([(0,5),(0,6),(1,3),(1,4),(1,6),(4,5),(6,2)],7)=>24 ([(0,5),(0,6),(1,2),(1,3),(1,5),(2,6),(3,6),(6,4)],7)=>18 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>18 ([(0,2),(0,3),(0,6),(1,5),(1,6),(3,4),(3,5),(6,4)],7)=>22 ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(6,2)],7)=>22 ([(0,3),(0,5),(0,6),(1,4),(1,5),(1,6),(3,4),(4,2)],7)=>20 ([(0,2),(0,4),(0,6),(1,4),(1,5),(1,6),(2,5),(5,3),(6,3)],7)=>18 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>18 ([(0,3),(0,6),(1,4),(1,5),(1,6),(3,4),(3,5),(5,2)],7)=>18 ([(0,2),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(6,3)],7)=>18 ([(0,4),(0,6),(1,3),(1,5),(3,6),(5,2)],7)=>27 ([(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>28 ([(0,5),(0,6),(1,3),(1,4),(4,6),(5,2)],7)=>26 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)=>12 ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>23 ([(0,3),(0,5),(1,2),(1,4),(4,6),(5,6)],7)=>29 ([(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>22 ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>15 ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>16 ([(0,2),(0,5),(2,6),(3,4),(4,1),(5,3),(5,6)],7)=>15 ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)=>13 ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>20 ([(0,5),(0,6),(1,4),(4,3),(4,5),(4,6),(6,2)],7)=>18 ([(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>24 ([(0,5),(0,6),(1,4),(3,6),(4,3),(4,5),(6,2)],7)=>14 ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>22 ([(0,4),(1,5),(1,6),(3,6),(4,3),(5,2)],7)=>19 ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)=>11 ([(2,4),(3,5),(5,6)],7)=>48 ([(0,6),(1,4),(3,5),(4,3),(4,6),(6,2),(6,5)],7)=>14 ([(0,6),(1,5),(5,2),(5,3),(5,6),(6,4)],7)=>20 ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>26 ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)=>12 ([(2,6),(4,5),(5,3),(6,4)],7)=>24 ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>12 ([(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>22 ([(1,6),(4,5),(5,3),(6,2),(6,4)],7)=>20 ([(1,3),(2,4),(3,6),(4,5),(4,6)],7)=>28 ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>18 ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>14 ([(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>26 ([(1,5),(2,6),(3,6),(4,3),(5,2),(5,4)],7)=>18 ([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7)=>10 ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>14 ([(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>20 ([(0,6),(1,3),(1,6),(2,5),(3,4),(3,5),(6,2),(6,4)],7)=>14 ([(0,6),(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>24 ([(0,6),(1,4),(1,6),(4,3),(5,2),(6,5)],7)=>17 ([(0,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>25 ([(0,6),(1,3),(1,6),(5,2),(6,4),(6,5)],7)=>18 ([(0,5),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>29 ([(0,5),(1,3),(1,6),(2,4),(2,5),(4,6)],7)=>30 ([(0,6),(1,3),(1,6),(3,5),(4,2),(4,5),(6,4)],7)=>14 ([(0,5),(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,2)],7)=>22 ([(0,5),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>31 ([(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>18 ([(0,5),(0,6),(1,3),(1,4),(2,5),(3,5),(3,6),(4,2),(4,6)],7)=>18 ([(0,4),(0,6),(1,2),(1,5),(3,6),(5,3)],7)=>25 ([(0,5),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>21 ([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>18 ([(0,6),(1,4),(2,3),(2,6),(4,6),(6,5)],7)=>22 ([(0,6),(1,5),(1,6),(3,4),(4,2),(5,3)],7)=>17 ([(0,5),(1,3),(2,4),(2,5),(3,6),(4,6)],7)=>27 ([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)=>14 ([(0,5),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>23 ([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>20 ([(0,6),(1,4),(2,3),(2,6),(4,5),(5,6)],7)=>26 ([(0,6),(1,5),(3,6),(4,2),(4,6),(5,3),(5,4)],7)=>18 ([(0,5),(0,6),(1,4),(2,6),(3,6),(4,2),(4,3),(4,5)],7)=>18 ([(0,6),(1,3),(1,5),(1,6),(4,2),(5,4)],7)=>26 ([(0,6),(1,2),(1,4),(1,6),(3,5),(4,3),(6,5)],7)=>22 ([(0,6),(1,2),(1,4),(1,6),(3,5),(4,5),(6,3)],7)=>20 ([(0,3),(1,4),(1,5),(1,6),(2,6),(3,2),(3,4),(3,5)],7)=>18 ([(0,4),(1,3),(1,6),(5,2),(6,5)],7)=>27 ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>21 ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>17 ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>17 ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)=>13 ([(0,5),(1,2),(1,4),(3,6),(4,6),(5,3)],7)=>22 ([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7)=>12 ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)=>16 ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)=>14 ([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7)=>10 ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)=>14 ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)=>13 ([(0,6),(1,3),(1,5),(3,6),(4,2),(5,4)],7)=>22 ([(0,6),(1,3),(1,4),(3,6),(4,5),(5,2),(5,6)],7)=>20 ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7)=>29 ([(0,5),(0,6),(1,3),(1,5),(1,6),(4,2),(6,4)],7)=>20 ([(0,5),(0,6),(1,2),(1,5),(1,6),(3,4),(5,3),(6,4)],7)=>18 ([(0,5),(0,6),(1,3),(1,6),(4,2),(5,4)],7)=>23 ([(0,3),(0,6),(1,4),(1,6),(3,4),(3,5),(5,2),(6,5)],7)=>14 ([(0,6),(1,3),(1,5),(2,4),(2,5),(4,6)],7)=>31 ([(0,6),(1,4),(1,5),(2,3),(2,4),(3,5),(3,6),(4,6)],7)=>22 ([(0,5),(0,6),(1,3),(1,6),(3,5),(4,2),(5,4)],7)=>14 ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5)],7)=>34 ([(0,2),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4)],7)=>14 ([(0,5),(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>22 ([(0,5),(0,6),(1,4),(2,3),(2,5),(4,6)],7)=>29 ([(0,5),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(5,4)],7)=>18 ([(0,5),(1,3),(3,6),(4,2),(4,6),(5,4)],7)=>17 ([(0,5),(1,3),(1,6),(2,6),(4,2),(5,4)],7)=>17 ([(0,5),(0,6),(1,3),(2,6),(3,4),(4,2),(4,5)],7)=>14 ([(0,5),(0,6),(1,4),(2,3),(3,5),(4,6)],7)=>25 ([(0,3),(1,5),(1,6),(3,6),(4,2),(5,4)],7)=>19 ([(0,6),(1,3),(2,4),(2,5),(3,5),(4,6)],7)=>26 ([(0,6),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>24 ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>13 ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>17 ([(0,5),(1,3),(1,6),(4,2),(5,4),(5,6)],7)=>21 ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>13 ([(0,6),(1,2),(1,5),(3,6),(4,3),(5,4)],7)=>20 ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)=>14 ([(0,4),(1,2),(1,5),(3,6),(4,6),(5,3)],7)=>23 ([(1,6),(2,4),(5,3),(6,5)],7)=>30 ([(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>22 ([(1,5),(4,3),(5,6),(6,2),(6,4)],7)=>18 ([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)=>14 ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>15 ([(0,6),(1,4),(4,5),(5,2),(5,3),(5,6)],7)=>18 ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)=>14 ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>9 ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>11 ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>12 ([(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>18 ([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)=>18 ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>20 ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>20 ([(0,6),(1,5),(4,3),(5,2),(5,4),(5,6)],7)=>22 ([(0,6),(1,4),(3,5),(4,2),(4,3),(4,6),(6,5)],7)=>18 ([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)=>14 ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>12 ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>10 ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)=>14 ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>14 ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>8 ([(0,6),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>22 ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>10 ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>16 ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>22 ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>25 ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)=>15 ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>16 ([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7)=>10 ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)=>12 ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>28 ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>12 ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>21 ([(0,6),(1,3),(2,4),(4,5),(5,6)],7)=>27 ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)=>13 ([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7)=>9 ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>11 ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>19 ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>13 ([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7)=>9 ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>17 ([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7)=>11 ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)=>9 ([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)=>16 ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)=>11 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)=>42 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)=>36 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)=>24 ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)=>27 ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)=>11 ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)=>15 ([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)=>12 ([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)=>14 ([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)=>12 ([(0,4),(0,5),(1,7),(2,7),(4,2),(4,6),(5,1),(5,6),(6,7),(7,3)],8)=>16 ([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)=>18 ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)=>10 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)=>20 ([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)=>12 ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)=>21 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)=>21 ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>13 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>22 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>22 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>31 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>67 ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>22 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>31 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>31 ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>76 ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>67 ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>76 ([(4,6),(4,7),(5,6),(5,7)],8)=>112 ([],8)=>256 ([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>15 ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)=>19 ([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>17 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>15 ([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)=>25 ([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)=>23 ([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)=>21 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)=>19 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>17 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>19 ([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)=>21 ([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>17 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>15 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>24 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>33 ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>40 ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>48 ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>41 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>39 ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>28 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>24 ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>28 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>69 ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>84 ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>73 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)=>43 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>41 ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>30 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>26 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>24 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)=>33 ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>37 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>48 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>52 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>63 ([(4,7),(5,6)],8)=>144 ([(0,7),(1,6),(2,5),(3,4)],8)=>81 ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>64 ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>49 ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)=>45 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)=>41 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>39 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)=>28 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)=>30 ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)=>34 ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)=>36 ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>49 ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>81 ([(2,7),(3,7),(4,6),(5,6)],8)=>100 ([(2,5),(3,4),(4,6),(5,7)],8)=>64 ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)=>36 ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)=>30 ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)=>32 ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>45 ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>56 ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>48 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)=>37 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)=>28 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)=>26 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>24 ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>24 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>33 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>37 ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>48 ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>84 ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>52 ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>41 ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>37 ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>28 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)=>26 ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>24 ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)=>28 ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)=>30 ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)=>32 ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)=>36 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>49 ([(2,6),(2,7),(3,4),(3,5)],8)=>100 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)=>43 ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)=>41 ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>69 ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>73 ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>81 ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)=>15 ([(0,2),(0,6),(2,7),(3,5),(4,3),(5,1),(6,4),(6,7)],8)=>18 ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(7,1)],8)=>19 ([(0,2),(0,5),(2,6),(3,4),(3,7),(4,1),(5,3),(5,6),(6,7)],8)=>18 ([(0,5),(0,6),(3,4),(4,2),(5,3),(5,7),(6,1),(6,7)],8)=>24 ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(7,3)],8)=>21 ([(0,4),(0,5),(3,2),(3,7),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>23 ([(0,4),(0,5),(1,7),(3,2),(4,3),(4,6),(5,1),(5,6),(6,7)],8)=>22 ([(0,5),(0,6),(3,2),(4,1),(5,3),(5,7),(6,4),(6,7)],8)=>26 ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7)],8)=>19 ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)=>47 ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)=>53 ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)=>56 ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9)=>10 ([(0,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,5),(7,6),(8,4),(8,6)],9)=>20 ([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)=>21 ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)=>30 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)=>27 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)=>30 ([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)=>14 ([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)=>14 ([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)=>16 ([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)=>15 ([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)=>20 ([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)=>16 ([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)=>15 ([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)=>21 ([(0,3),(0,4),(1,8),(2,7),(2,8),(3,1),(3,5),(4,2),(4,5),(5,7),(5,8),(7,6),(8,6)],9)=>19 ([(0,2),(0,3),(1,6),(2,7),(2,8),(3,1),(3,7),(3,8),(5,4),(6,4),(7,5),(8,5),(8,6)],9)=>19 ([(0,6),(3,8),(4,5),(4,8),(5,1),(5,7),(6,3),(6,4),(8,2),(8,7)],9)=>20 ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9)=>17 ([(0,2),(0,7),(2,8),(3,4),(4,6),(5,3),(6,1),(7,5),(7,8)],9)=>21 ([(0,7),(0,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,1)],9)=>22 ([(0,2),(0,6),(2,7),(3,5),(4,3),(4,8),(5,1),(6,4),(6,7),(7,8)],9)=>22 ([(0,6),(0,7),(3,5),(4,3),(5,2),(6,4),(6,8),(7,1),(7,8)],9)=>29 ([(0,7),(0,8),(3,5),(4,3),(5,2),(6,1),(7,6),(8,4)],9)=>25 ([(0,2),(0,5),(2,6),(3,4),(3,8),(4,1),(4,7),(5,3),(5,6),(6,8),(8,7)],9)=>20 ([(0,5),(0,6),(3,4),(3,8),(4,2),(5,3),(5,7),(6,1),(6,7),(7,8)],9)=>30 ([(0,5),(0,6),(2,8),(3,4),(4,1),(5,3),(5,7),(6,2),(6,7),(7,8)],9)=>28 ([(0,6),(0,7),(3,4),(4,1),(5,2),(6,5),(6,8),(7,3),(7,8)],9)=>33 ([(0,7),(0,8),(3,5),(4,6),(5,2),(6,1),(7,3),(8,4)],9)=>26 ([(0,4),(0,5),(2,7),(3,2),(3,8),(4,3),(4,6),(5,1),(5,6),(6,8),(8,7)],9)=>25 ([(0,4),(0,5),(2,7),(3,1),(3,8),(4,2),(4,6),(5,3),(5,6),(6,7),(6,8)],9)=>28 ([(0,5),(0,6),(3,1),(4,2),(4,8),(5,3),(5,7),(6,4),(6,7),(7,8)],9)=>32 ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)=>95 ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11)=>107 ([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11)=>113 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11)=>116 ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11)=>131 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11)=>122 ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13)=>191 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)=>215 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13)=>227 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13)=>233 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13)=>263 ([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13)=>245 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)=>236 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>266 ([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13)=>281 ([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13)=>254 ([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13)=>287
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Description
The number of antichains in a poset.
An antichain in a poset $P$ is a subset of elements of $P$ which are pairwise incomparable.
An order ideal is a subset $I$ of $P$ such that $a\in I$ and $b \leq_P a$ implies $b \in I$. Since there is a one-to-one correspondence between antichains and order ideals, this statistic is also the number of order ideals in a poset.
Code
def statistic(P):
    return P.antichains().cardinality()
Created
Jun 11, 2013 at 12:41 by Christian Stump
Updated
Apr 08, 2021 at 15:18 by Martin Rubey