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Identifier
Values
=>
Cc0014;cc-rep
([],1)=>0 ([],2)=>2 ([(0,1)],2)=>0 ([],3)=>6 ([(1,2)],3)=>2 ([(0,1),(0,2)],3)=>2 ([(0,2),(2,1)],3)=>0 ([(0,2),(1,2)],3)=>2 ([],4)=>12 ([(2,3)],4)=>6 ([(1,2),(1,3)],4)=>5 ([(0,1),(0,2),(0,3)],4)=>6 ([(0,2),(0,3),(3,1)],4)=>2 ([(0,1),(0,2),(1,3),(2,3)],4)=>2 ([(1,2),(2,3)],4)=>2 ([(0,3),(3,1),(3,2)],4)=>2 ([(1,3),(2,3)],4)=>5 ([(0,3),(1,3),(3,2)],4)=>2 ([(0,3),(1,3),(2,3)],4)=>6 ([(0,3),(1,2)],4)=>2 ([(0,3),(1,2),(1,3)],4)=>3 ([(0,2),(0,3),(1,2),(1,3)],4)=>4 ([(0,3),(2,1),(3,2)],4)=>0 ([(0,3),(1,2),(2,3)],4)=>2 ([],5)=>20 ([(3,4)],5)=>12 ([(2,3),(2,4)],5)=>10 ([(1,2),(1,3),(1,4)],5)=>10 ([(0,1),(0,2),(0,3),(0,4)],5)=>12 ([(0,2),(0,3),(0,4),(4,1)],5)=>6 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>5 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>6 ([(1,3),(1,4),(4,2)],5)=>5 ([(0,3),(0,4),(4,1),(4,2)],5)=>5 ([(1,2),(1,3),(2,4),(3,4)],5)=>4 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>2 ([(0,3),(0,4),(3,2),(4,1)],5)=>2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>3 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>4 ([(2,3),(3,4)],5)=>6 ([(1,4),(4,2),(4,3)],5)=>5 ([(0,4),(4,1),(4,2),(4,3)],5)=>6 ([(2,4),(3,4)],5)=>10 ([(1,4),(2,4),(4,3)],5)=>5 ([(0,4),(1,4),(4,2),(4,3)],5)=>4 ([(1,4),(2,4),(3,4)],5)=>10 ([(0,4),(1,4),(2,4),(4,3)],5)=>6 ([(0,4),(1,4),(2,4),(3,4)],5)=>12 ([(0,4),(1,4),(2,3)],5)=>5 ([(0,4),(1,3),(2,3),(2,4)],5)=>4 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>6 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>8 ([(0,4),(1,4),(2,3),(4,2)],5)=>2 ([(0,4),(1,3),(2,3),(3,4)],5)=>5 ([(0,4),(1,4),(2,3),(2,4)],5)=>7 ([(0,4),(1,4),(2,3),(3,4)],5)=>6 ([(1,4),(2,3)],5)=>6 ([(1,4),(2,3),(2,4)],5)=>7 ([(0,4),(1,2),(1,4),(2,3)],5)=>3 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(2,3),(2,4)],5)=>8 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>4 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>4 ([(0,4),(1,2),(1,4),(4,3)],5)=>3 ([(0,4),(1,2),(1,3)],5)=>5 ([(0,4),(1,2),(1,3),(1,4)],5)=>7 ([(0,2),(0,4),(3,1),(4,3)],5)=>2 ([(0,4),(1,2),(1,3),(3,4)],5)=>5 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>2 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5 ([(0,3),(0,4),(1,2),(1,4)],5)=>4 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>6 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>8 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>4 ([(0,3),(1,2),(1,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>4 ([(1,4),(3,2),(4,3)],5)=>2 ([(0,3),(3,4),(4,1),(4,2)],5)=>2 ([(1,4),(2,3),(3,4)],5)=>5 ([(0,4),(1,2),(2,4),(4,3)],5)=>2 ([(0,3),(1,4),(4,2)],5)=>2 ([(0,4),(3,2),(4,1),(4,3)],5)=>2 ([(0,4),(1,2),(2,3),(2,4)],5)=>3 ([(0,4),(2,3),(3,1),(4,2)],5)=>0 ([(0,3),(1,2),(2,4),(3,4)],5)=>2 ([(0,4),(1,2),(2,3),(3,4)],5)=>2 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>2 ([],6)=>30 ([(4,5)],6)=>20 ([(3,4),(3,5)],6)=>17 ([(2,3),(2,4),(2,5)],6)=>16 ([(1,2),(1,3),(1,4),(1,5)],6)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>20 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>12 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>10 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>12 ([(1,3),(1,4),(1,5),(5,2)],6)=>10 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>10 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>8 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>6 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>5 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>4 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>7 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>5 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>5 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>6 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>7 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>8 ([(2,3),(2,4),(4,5)],6)=>10 ([(1,4),(1,5),(5,2),(5,3)],6)=>9 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>10 ([(2,3),(2,4),(3,5),(4,5)],6)=>8 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>4 ([(1,4),(1,5),(4,3),(5,2)],6)=>5 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>6 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>4 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>4 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>3 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>5 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>7 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>4 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>6 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>8 ([(3,4),(4,5)],6)=>12 ([(2,3),(3,4),(3,5)],6)=>10 ([(1,5),(5,2),(5,3),(5,4)],6)=>10 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>12 ([(2,3),(3,5),(5,4)],6)=>6 ([(1,4),(4,5),(5,2),(5,3)],6)=>5 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>6 ([(3,5),(4,5)],6)=>17 ([(2,5),(3,5),(5,4)],6)=>10 ([(1,5),(2,5),(5,3),(5,4)],6)=>8 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>8 ([(2,5),(3,5),(4,5)],6)=>16 ([(1,5),(2,5),(3,5),(5,4)],6)=>10 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>8 ([(1,5),(2,5),(3,5),(4,5)],6)=>17 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>12 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>20 ([(0,5),(1,5),(2,5),(3,4)],6)=>10 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>6 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>10 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>13 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>12 ([(1,5),(2,5),(3,4)],6)=>10 ([(1,5),(2,4),(3,4),(3,5)],6)=>9 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>4 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>4 ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>6 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>6 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>8 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>6 ([(1,5),(2,5),(3,4),(5,3)],6)=>5 ([(1,5),(2,4),(3,4),(4,5)],6)=>9 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>5 ([(0,5),(1,5),(2,3),(5,4)],6)=>5 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>4 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>6 ([(1,5),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>7 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>7 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>7 ([(0,5),(1,5),(2,3),(2,4)],6)=>9 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>6 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>5 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>2 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>10 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>5 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>10 ([(1,5),(2,5),(3,4),(4,5)],6)=>10 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>6 ([(0,5),(1,5),(2,3),(3,4)],6)=>5 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>5 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>5 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>5 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>7 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>6 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>5 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>6 ([(0,5),(1,5),(2,4),(3,4)],6)=>8 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>8 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>8 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>11 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>14 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>5 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>10 ([(2,5),(3,4)],6)=>12 ([(2,5),(3,4),(3,5)],6)=>13 ([(1,5),(2,3),(2,5),(3,4)],6)=>7 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>6 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>4 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>5 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>3 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>3 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>4 ([(2,4),(2,5),(3,4),(3,5)],6)=>14 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>7 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>7 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>5 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>4 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>8 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>7 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>7 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>8 ([(1,5),(2,3),(2,5),(5,4)],6)=>7 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>6 ([(1,5),(2,3),(2,4)],6)=>10 ([(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>7 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>6 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>6 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>7 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>7 ([(0,5),(1,2),(1,3),(1,4)],6)=>10 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>13 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>10 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>5 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>9 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>6 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>10 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>7 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>6 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>8 ([(1,3),(1,5),(4,2),(5,4)],6)=>5 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>5 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>2 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>3 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>3 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>3 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>4 ([(1,5),(2,3),(2,4),(4,5)],6)=>9 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>5 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>4 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>2 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>8 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>5 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>5 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>5 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>5 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>6 ([(0,4),(1,3),(1,5),(5,2)],6)=>5 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>5 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>7 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>5 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>4 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>5 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>4 ([(1,4),(1,5),(2,3),(2,5)],6)=>9 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>11 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>5 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>8 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>7 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>6 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>6 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>4 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>4 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>4 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>4 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>5 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>5 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>5 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,3)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>11 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>8 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>8 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>8 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>11 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>14 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>8 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>6 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>7 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>8 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>4 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>5 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>6 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>7 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>4 ([(1,4),(2,3),(2,5),(4,5)],6)=>7 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>3 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>8 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>4 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>4 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>3 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>3 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,3),(1,4),(5,2)],6)=>5 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>2 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>5 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>4 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>6 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>4 ([(2,5),(3,4),(4,5)],6)=>10 ([(1,5),(2,3),(3,5),(5,4)],6)=>5 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>4 ([(1,3),(2,4),(4,5)],6)=>6 ([(1,5),(4,3),(5,2),(5,4)],6)=>5 ([(1,5),(2,3),(3,4),(3,5)],6)=>7 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>3 ([(0,4),(1,5),(5,2),(5,3)],6)=>5 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>6 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>7 ([(1,5),(3,4),(4,2),(5,3)],6)=>2 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>2 ([(1,4),(2,3),(3,5),(4,5)],6)=>5 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>2 ([(0,5),(1,4),(4,2),(5,3)],6)=>2 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>2 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>3 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(1,5),(2,3),(3,4),(4,5)],6)=>5 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>4 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,3)],6)=>6 ([(0,5),(1,3),(2,4),(2,5)],6)=>7 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>8 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>3 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>6 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>7 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>3 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>7 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>6 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>7 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>3 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>6 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>5 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>8 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>8 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>6 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>4 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>6 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>3 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>4 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>4 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>3 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>7 ([(0,5),(1,3),(4,2),(5,4)],6)=>2 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>2 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>3 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>3 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>2 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>3 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>0 ([(0,5),(1,3),(2,4),(4,5)],6)=>5 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>4 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>5 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>2 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>2 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>2 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>2 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>6 ([],7)=>42 ([(5,6)],7)=>30 ([(4,5),(4,6)],7)=>26 ([(3,4),(3,5),(3,6)],7)=>24 ([(2,3),(2,4),(2,5),(2,6)],7)=>24 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>26 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>30 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>20 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>20 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>17 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>17 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>14 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>13 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>14 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>12 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>10 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>13 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>10 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>10 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>9 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>8 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>8 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>9 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>10 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>12 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>13 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(2,4),(2,5),(2,6),(6,3)],7)=>16 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>15 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>16 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>13 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>8 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>8 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>8 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>7 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>9 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>8 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>8 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>6 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>10 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>7 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>9 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>6 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>7 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>5 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>5 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>6 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>8 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>8 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>10 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>11 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>8 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>7 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>10 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>7 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>8 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>8 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>8 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>7 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>7 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>10 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>12 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>9 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>11 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>6 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>7 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>8 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>6 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>7 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>3 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>6 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9 ([(0,1),(0,2),(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>9 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>5 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>8 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>7 ([(3,4),(3,5),(5,6)],7)=>17 ([(2,5),(2,6),(6,3),(6,4)],7)=>15 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>15 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>17 ([(3,4),(3,5),(4,6),(5,6)],7)=>14 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>8 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>7 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>8 ([(2,5),(2,6),(5,4),(6,3)],7)=>10 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>7 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>7 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>6 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>4 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>4 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>5 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>6 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>6 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>9 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>11 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>7 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>10 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>13 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>8 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>10 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>8 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>8 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>6 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>4 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>8 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>8 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>11 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>8 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>11 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>8 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>4 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>4 ([(4,5),(5,6)],7)=>20 ([(3,4),(4,5),(4,6)],7)=>17 ([(2,6),(6,3),(6,4),(6,5)],7)=>16 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>17 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>20 ([(3,4),(4,6),(6,5)],7)=>12 ([(2,5),(5,6),(6,3),(6,4)],7)=>10 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>10 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>12 ([(4,6),(5,6)],7)=>26 ([(3,6),(4,6),(6,5)],7)=>17 ([(2,6),(3,6),(6,4),(6,5)],7)=>14 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>14 ([(3,6),(4,6),(5,6)],7)=>24 ([(2,6),(3,6),(4,6),(6,5)],7)=>16 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>12 ([(2,6),(3,6),(4,6),(5,6)],7)=>24 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>17 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>14 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>26 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>20 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>30 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>17 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>12 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>17 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>21 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>20 ([(1,6),(2,6),(3,6),(4,5)],7)=>16 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>10 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>15 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>10 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>8 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>11 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>19 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>15 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>8 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>11 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>17 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>17 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>17 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>10 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>6 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>10 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>10 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>13 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>6 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>5 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>6 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>12 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>13 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>22 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>10 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>8 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>16 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>10 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>8 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>8 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>17 ([(2,6),(3,6),(4,5)],7)=>17 ([(2,6),(3,5),(4,5),(4,6)],7)=>16 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>9 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>7 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>8 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>4 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>4 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>5 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>9 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>7 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>8 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>10 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>6 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>7 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>11 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>11 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>9 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>6 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>6 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>6 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>10 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>6 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>6 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>11 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>10 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>9 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>10 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>11 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>8 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>11 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>9 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>9 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>4 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>8 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>9 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>10 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>7 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>9 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>11 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>7 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>10 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>8 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>8 ([(2,6),(3,6),(4,5),(6,4)],7)=>10 ([(2,6),(3,5),(4,5),(5,6)],7)=>15 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>9 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>7 ([(1,6),(2,6),(3,4),(6,5)],7)=>10 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>8 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>11 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>6 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>8 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>10 ([(2,6),(3,6),(4,5),(4,6)],7)=>19 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>10 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>12 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>11 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>8 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>11 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>8 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>9 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>7 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>7 ([(1,6),(2,6),(3,4),(3,5)],7)=>15 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>8 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>11 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>7 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>9 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>7 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>7 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>9 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>11 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>10 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>15 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>8 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>11 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>9 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>11 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>19 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>10 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>8 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>16 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>9 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>8 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>6 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>15 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>10 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>10 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>16 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>10 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>14 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>10 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>9 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>6 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>7 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>6 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>7 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>9 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>9 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>8 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>12 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>5 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>5 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>6 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>6 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>8 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>7 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>4 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>6 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>7 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>6 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>6 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>10 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>10 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>9 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>9 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>9 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>10 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>7 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>9 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>8 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>4 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>8 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>10 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>8 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>8 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>5 ([(2,6),(3,6),(4,5),(5,6)],7)=>16 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>10 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>8 ([(1,6),(2,6),(3,4),(4,5)],7)=>10 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>5 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>9 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>5 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>5 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>6 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>7 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>7 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>7 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>9 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>4 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>6 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>10 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>10 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>10 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>9 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>10 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>10 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>12 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>5 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>2 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>4 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>2 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>10 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>6 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>5 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>5 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>5 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>5 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>7 ([(1,6),(2,6),(3,5),(4,5)],7)=>14 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>8 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>8 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>11 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>8 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>8 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>11 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>11 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>14 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>8 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>9 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>7 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>5 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>4 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>15 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>10 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>8 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>8 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>7 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>11 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>8 ([(0,6),(1,6),(2,5),(3,4)],7)=>10 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>5 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>6 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>9 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>8 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>5 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>9 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>7 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>10 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>7 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>11 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>11 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>9 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>8 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>11 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>11 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>8 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>5 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>10 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>6 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>7 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>10 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>6 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>5 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>7 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>11 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>11 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>7 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>13 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>12 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>11 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>11 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>6 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>10 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>7 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>7 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>6 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>6 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>14 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>7 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>14 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>7 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>13 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>10 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>10 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>12 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>8 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>5 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>4 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>6 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>10 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>8 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>5 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>10 ([(3,6),(4,5)],7)=>20 ([(3,6),(4,5),(4,6)],7)=>21 ([(2,6),(3,4),(3,6),(4,5)],7)=>13 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>11 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>11 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>8 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>7 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>9 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>8 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>9 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>4 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>6 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>5 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>7 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>11 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>6 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>5 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>7 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>8 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>6 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>8 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>7 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>6 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>3 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>3 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>4 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>4 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>6 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>4 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>5 ([(3,5),(3,6),(4,5),(4,6)],7)=>22 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>12 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>7 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>9 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>10 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>13 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>7 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>6 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>7 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>7 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>9 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>9 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>10 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>7 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>5 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>13 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>7 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>8 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>8 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>9 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>8 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>7 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>7 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>7 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>8 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>7 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>12 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>7 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>7 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>7 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>8 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>8 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>10 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>7 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>7 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>9 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>12 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>6 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>9 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>11 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>9 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>8 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>9 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>12 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>9 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>13 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>8 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>7 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>10 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>7 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>7 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>6 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>11 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>11 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>6 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>6 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>8 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>8 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>8 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>7 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>10 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>8 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>6 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>6 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>8 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>7 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>8 ([(2,6),(3,4),(3,6),(6,5)],7)=>13 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>11 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>11 ([(2,6),(3,4),(3,5)],7)=>17 ([(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>12 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>11 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>9 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>10 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>6 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>7 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>8 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>10 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>10 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>7 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>6 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>8 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>6 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>6 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>7 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>5 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>7 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>8 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>9 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>7 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>9 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>6 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>5 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>12 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>11 ([(1,6),(2,3),(2,4),(2,5)],7)=>16 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>19 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>11 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>11 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>11 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>11 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>17 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>21 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>12 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>17 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>10 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>10 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>12 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>17 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>13 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>11 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>11 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>14 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>10 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>10 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>15 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>10 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>8 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>5 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>9 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>8 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>6 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>10 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>9 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>9 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>10 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>11 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>10 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>9 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>9 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>11
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Description
The number of potential covers of a poset.
A potential cover is a pair of uncomparable elements $(x, y)$ which can be added to the poset without adding any other relations.
For example, let $P$ be the disjoint union of a single relation $(1, 2)$ with the one element poset $0$. Then the relation $(0, 1)$ cannot be added without adding also $(0, 2)$, however, the relations $(0, 2)$ and $(1, 0)$ are potential covers.
References
[1] (bad identifier) MathOverflow:447986
Code
def statistic(P):
    r = list(P.relations_iterator(True))
    n = len(r)
    good = []
    for x in P:
        for y in P:
            if P.compare_elements(x, y) is None:
                Q = Poset(DiGraph(r + [[x, y]]))
                if len(list(Q.relations_iterator(True))) == n + 1:
                    good.append([x,y])
    return len(good)

Created
Jun 03, 2023 at 11:21 by Martin Rubey
Updated
Jun 03, 2023 at 11:21 by Martin Rubey