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Identifier
Values
=>
Cc0014;cc-rep
([],2)=>2 ([(0,1)],2)=>3 ([],3)=>3 ([(1,2)],3)=>4 ([(0,1),(0,2)],3)=>5 ([(0,2),(2,1)],3)=>5 ([(0,2),(1,2)],3)=>5 ([],4)=>4 ([(2,3)],4)=>5 ([(1,2),(1,3)],4)=>6 ([(0,1),(0,2),(0,3)],4)=>7 ([(0,2),(0,3),(3,1)],4)=>7 ([(0,1),(0,2),(1,3),(2,3)],4)=>9 ([(1,2),(2,3)],4)=>6 ([(0,3),(3,1),(3,2)],4)=>7 ([(1,3),(2,3)],4)=>6 ([(0,3),(1,3),(3,2)],4)=>7 ([(0,3),(1,3),(2,3)],4)=>7 ([(0,3),(1,2)],4)=>6 ([(0,3),(1,2),(1,3)],4)=>7 ([(0,2),(0,3),(1,2),(1,3)],4)=>8 ([(0,3),(2,1),(3,2)],4)=>7 ([(0,3),(1,2),(2,3)],4)=>7 ([],5)=>5 ([(3,4)],5)=>6 ([(2,3),(2,4)],5)=>7 ([(1,2),(1,3),(1,4)],5)=>8 ([(0,1),(0,2),(0,3),(0,4)],5)=>9 ([(0,2),(0,3),(0,4),(4,1)],5)=>9 ([(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)=>11 ([(1,3),(1,4),(4,2)],5)=>8 ([(0,3),(0,4),(4,1),(4,2)],5)=>9 ([(1,2),(1,3),(2,4),(3,4)],5)=>10 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>11 ([(0,3),(0,4),(3,2),(4,1)],5)=>9 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>11 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>13 ([(2,3),(3,4)],5)=>7 ([(1,4),(4,2),(4,3)],5)=>8 ([(0,4),(4,1),(4,2),(4,3)],5)=>9 ([(2,4),(3,4)],5)=>7 ([(1,4),(2,4),(4,3)],5)=>8 ([(0,4),(1,4),(4,2),(4,3)],5)=>9 ([(1,4),(2,4),(3,4)],5)=>8 ([(0,4),(1,4),(2,4),(4,3)],5)=>9 ([(0,4),(1,4),(2,4),(3,4)],5)=>9 ([(0,4),(1,4),(2,3)],5)=>8 ([(0,4),(1,3),(2,3),(2,4)],5)=>9 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>10 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>11 ([(0,4),(1,4),(2,3),(4,2)],5)=>9 ([(0,4),(1,3),(2,3),(3,4)],5)=>9 ([(0,4),(1,4),(2,3),(2,4)],5)=>9 ([(0,4),(1,4),(2,3),(3,4)],5)=>9 ([(1,4),(2,3)],5)=>7 ([(1,4),(2,3),(2,4)],5)=>8 ([(0,4),(1,2),(1,4),(2,3)],5)=>9 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>11 ([(1,3),(1,4),(2,3),(2,4)],5)=>9 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>10 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>13 ([(0,4),(1,2),(1,4),(4,3)],5)=>9 ([(0,4),(1,2),(1,3)],5)=>8 ([(0,4),(1,2),(1,3),(1,4)],5)=>9 ([(0,2),(0,4),(3,1),(4,3)],5)=>9 ([(0,4),(1,2),(1,3),(3,4)],5)=>9 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>10 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>11 ([(0,3),(0,4),(1,2),(1,4)],5)=>9 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>10 ([(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)=>9 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>10 ([(1,4),(3,2),(4,3)],5)=>8 ([(0,3),(3,4),(4,1),(4,2)],5)=>9 ([(1,4),(2,3),(3,4)],5)=>8 ([(0,4),(1,2),(2,4),(4,3)],5)=>9 ([(0,3),(1,4),(4,2)],5)=>8 ([(0,4),(3,2),(4,1),(4,3)],5)=>9 ([(0,4),(1,2),(2,3),(2,4)],5)=>9 ([(0,4),(2,3),(3,1),(4,2)],5)=>9 ([(0,3),(1,2),(2,4),(3,4)],5)=>9 ([(0,4),(1,2),(2,3),(3,4)],5)=>9 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>11 ([],6)=>6 ([(4,5)],6)=>7 ([(3,4),(3,5)],6)=>8 ([(2,3),(2,4),(2,5)],6)=>9 ([(1,2),(1,3),(1,4),(1,5)],6)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>11 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>11 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>13 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>13 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>14 ([(1,3),(1,4),(1,5),(5,2)],6)=>10 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>11 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>12 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>12 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>13 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>13 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>15 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>15 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>15 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>13 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>14 ([(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)=>11 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>13 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>15 ([(2,3),(2,4),(4,5)],6)=>9 ([(1,4),(1,5),(5,2),(5,3)],6)=>10 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>11 ([(2,3),(2,4),(3,5),(4,5)],6)=>11 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>12 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>13 ([(1,4),(1,5),(4,3),(5,2)],6)=>10 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>12 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>14 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>15 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>18 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>13 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>11 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>13 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>13 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>15 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>17 ([(3,4),(4,5)],6)=>8 ([(2,3),(3,4),(3,5)],6)=>9 ([(1,5),(5,2),(5,3),(5,4)],6)=>10 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>11 ([(2,3),(3,5),(5,4)],6)=>9 ([(1,4),(4,5),(5,2),(5,3)],6)=>10 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>11 ([(3,5),(4,5)],6)=>8 ([(2,5),(3,5),(5,4)],6)=>9 ([(1,5),(2,5),(5,3),(5,4)],6)=>10 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>11 ([(2,5),(3,5),(4,5)],6)=>9 ([(1,5),(2,5),(3,5),(5,4)],6)=>10 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>11 ([(1,5),(2,5),(3,5),(4,5)],6)=>10 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>11 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>11 ([(0,5),(1,5),(2,5),(3,4)],6)=>10 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>11 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>11 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>11 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>11 ([(1,5),(2,5),(3,4)],6)=>9 ([(1,5),(2,4),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>11 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>13 ([(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)=>12 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>15 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(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)=>17 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>12 ([(1,5),(2,5),(3,4),(5,3)],6)=>10 ([(1,5),(2,4),(3,4),(4,5)],6)=>10 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>11 ([(0,5),(1,5),(2,3),(5,4)],6)=>10 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>11 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>11 ([(1,5),(2,5),(3,4),(3,5)],6)=>10 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>11 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>11 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>13 ([(0,5),(1,5),(2,3),(2,4)],6)=>10 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>11 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>11 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>11 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>11 ([(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)=>12 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>11 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>12 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>14 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>13 ([(1,5),(2,5),(3,4),(4,5)],6)=>10 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>11 ([(0,5),(1,5),(2,3),(3,4)],6)=>10 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>11 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>11 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>11 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>13 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>11 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>11 ([(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)=>13 ([(0,5),(1,5),(2,4),(3,4)],6)=>10 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>11 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(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),(3,4),(3,5)],6)=>14 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>11 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>13 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>11 ([(2,5),(3,4)],6)=>8 ([(2,5),(3,4),(3,5)],6)=>9 ([(1,5),(2,3),(2,5),(3,4)],6)=>10 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>11 ([(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)=>15 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>12 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>13 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>11 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>13 ([(2,4),(2,5),(3,4),(3,5)],6)=>10 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>11 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>12 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>14 ([(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)=>15 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>18 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>11 ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>13 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>12 ([(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),(2,5)],6)=>12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>13 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>12 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>13 ([(1,5),(2,3),(2,5),(5,4)],6)=>10 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>11 ([(1,5),(2,3),(2,4)],6)=>9 ([(1,5),(2,3),(2,4),(2,5)],6)=>10 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>11 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>13 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>13 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>13 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>11 ([(0,5),(1,2),(1,3),(1,4)],6)=>10 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>11 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>11 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>11 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>12 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>13 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>13 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>13 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>11 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>12 ([(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)=>10 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>11 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>11 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>13 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>15 ([(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)=>14 ([(1,5),(2,3),(2,4),(4,5)],6)=>10 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>11 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>11 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>12 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>12 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>13 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>11 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>13 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>15 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>12 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>12 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>13 ([(0,4),(1,3),(1,5),(5,2)],6)=>10 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>11 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>11 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>11 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>12 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>12 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>13 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>13 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>13 ([(1,4),(1,5),(2,3),(2,5)],6)=>10 ([(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)=>12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>15 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>13 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>16 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>15 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>12 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>14 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>15 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>11 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>11 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>12 ([(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)=>14 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>11 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>13 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>12 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>14 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>12 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>15 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>12 ([(0,4),(0,5),(1,2),(1,3)],6)=>10 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>11 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>12 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>12 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>14 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>12 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>13 ([(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)=>13 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>12 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>13 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>11 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>12 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>13 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>12 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>13 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>12 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>14 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>16 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>12 ([(1,4),(2,3),(2,5),(4,5)],6)=>10 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>11 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>11 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>12 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>15 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>11 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>13 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>12 ([(0,5),(1,3),(1,4),(5,2)],6)=>10 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>11 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>11 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>11 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>12 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>12 ([(2,5),(3,4),(4,5)],6)=>9 ([(1,5),(2,3),(3,5),(5,4)],6)=>10 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>11 ([(1,3),(2,4),(4,5)],6)=>9 ([(1,5),(4,3),(5,2),(5,4)],6)=>10 ([(1,5),(2,3),(3,4),(3,5)],6)=>10 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>11 ([(0,4),(1,5),(5,2),(5,3)],6)=>10 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>11 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>11 ([(1,5),(3,4),(4,2),(5,3)],6)=>10 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>11 ([(1,4),(2,3),(3,5),(4,5)],6)=>10 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>11 ([(0,5),(1,4),(4,2),(5,3)],6)=>10 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>11 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>11 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>12 ([(1,5),(2,3),(3,4),(4,5)],6)=>10 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>12 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>13 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>11 ([(0,5),(1,4),(2,3)],6)=>9 ([(0,5),(1,3),(2,4),(2,5)],6)=>10 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>11 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>11 ([(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)=>11 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>12 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>13 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>11 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>11 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>11 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>12 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>13 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>14 ([(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)=>12 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>12 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>12 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>11 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>12 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>11 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>12 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>11 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>12 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>15 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>13 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>11 ([(0,5),(1,3),(4,2),(5,4)],6)=>10 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>11 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>11 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>13 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>11 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>11 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>11 ([(0,5),(1,3),(2,4),(4,5)],6)=>10 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>11 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>11 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>11 ([(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)=>13 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>11 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>12 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>11 ([],7)=>7 ([(5,6)],7)=>8 ([(4,5),(4,6)],7)=>9 ([(3,4),(3,5),(3,6)],7)=>10 ([(2,3),(2,4),(2,5),(2,6)],7)=>11 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>12 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>13 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>13 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>15 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>16 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>17 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>12 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>13 ([(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)=>14 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>16 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>16 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>16 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>15 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>15 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>18 ([(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)=>19 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>17 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>16 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>15 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>13 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>15 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(2,4),(2,5),(2,6),(6,3)],7)=>11 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>12 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>13 ([(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)=>13 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>14 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>15 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>14 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>16 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>17 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>21 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>17 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>20 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>17 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>17 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>19 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>14 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>15 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>15 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>16 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>16 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>16 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>14 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>15 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>12 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>14 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>16 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>17 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>17 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>18 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>18 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>21 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>17 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>20 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>15 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>13 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>15 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>13 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>17 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(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)=>19 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>17 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>18 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>15 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>16 ([(3,4),(3,5),(5,6)],7)=>10 ([(2,5),(2,6),(6,3),(6,4)],7)=>11 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>12 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>13 ([(3,4),(3,5),(4,6),(5,6)],7)=>12 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>13 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>14 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>15 ([(2,5),(2,6),(5,4),(6,3)],7)=>11 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>13 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>15 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>16 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>17 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>19 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>20 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>17 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>20 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>23 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>14 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>15 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>12 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>14 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>15 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>13 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>15 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>14 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>16 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>19 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>22 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>21 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>17 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>20 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>15 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>13 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>15 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>17 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>17 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>19 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>21 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>12 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>13 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>14 ([(4,5),(5,6)],7)=>9 ([(3,4),(4,5),(4,6)],7)=>10 ([(2,6),(6,3),(6,4),(6,5)],7)=>11 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>13 ([(3,4),(4,6),(6,5)],7)=>10 ([(2,5),(5,6),(6,3),(6,4)],7)=>11 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>12 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>13 ([(4,6),(5,6)],7)=>9 ([(3,6),(4,6),(6,5)],7)=>10 ([(2,6),(3,6),(6,4),(6,5)],7)=>11 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>13 ([(3,6),(4,6),(5,6)],7)=>10 ([(2,6),(3,6),(4,6),(6,5)],7)=>11 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>13 ([(2,6),(3,6),(4,6),(5,6)],7)=>11 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>13 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>12 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>13 ([(1,6),(2,6),(3,6),(4,5)],7)=>11 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>12 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>12 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>13 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>12 ([(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)=>15 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>14 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>12 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>12 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>13 ([(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)=>13 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>15 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>15 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>15 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>15 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>13 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>15 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>15 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>13 ([(2,6),(3,6),(4,5)],7)=>10 ([(2,6),(3,5),(4,5),(4,6)],7)=>11 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>12 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>13 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>14 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>15 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>13 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>15 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>17 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>12 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>17 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>20 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>16 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>17 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(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),(6,3),(6,4)],7)=>15 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>23 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>16 ([(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)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>16 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>13 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>17 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>15 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>14 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>15 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>17 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>14 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>14 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>14 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>15 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>14 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>12 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>13 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>13 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>13 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>14 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>13 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>14 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>13 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14 ([(2,6),(3,6),(4,5),(6,4)],7)=>11 ([(2,6),(3,5),(4,5),(5,6)],7)=>11 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>12 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>13 ([(1,6),(2,6),(3,4),(6,5)],7)=>11 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>12 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>12 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>13 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>12 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>13 ([(2,6),(3,6),(4,5),(4,6)],7)=>11 ([(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)=>13 ([(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)=>14 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>13 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>13 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>17 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>13 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>15 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>14 ([(1,6),(2,6),(3,4),(3,5)],7)=>11 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>12 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>12 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>14 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>13 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>12 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>13 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>14 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>13 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>15 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>12 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>13 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>13 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>13 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>13 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>15 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>14 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>13 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>14 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>16 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>15 ([(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)=>15 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>17 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>15 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>12 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>13 ([(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)=>15 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>12 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>13 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>13 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>15 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>17 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>13 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>13 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>13 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>13 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>14 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>14 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>16 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>18 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>16 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>14 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>16 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>19 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>16 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>17 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>17 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>15 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>17 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>16 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>14 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>14 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>16 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>14 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>16 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>16 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>14 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>15 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>15 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>17 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>15 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>13 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>15 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>15 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>14 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>16 ([(2,6),(3,6),(4,5),(5,6)],7)=>11 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>12 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>13 ([(1,6),(2,6),(3,4),(4,5)],7)=>11 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>12 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>12 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>13 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>12 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>13 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>13 ([(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)=>13 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>13 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>15 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>12 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>13 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>13 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>14 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>13 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>15 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>13 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>13 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>15 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>15 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>15 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>16 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>12 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>13 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>14 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>15 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>12 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>13 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>12 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>13 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>13 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>13 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>15 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>13 ([(1,6),(2,6),(3,5),(4,5)],7)=>11 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>13 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>15 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>14 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>17 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>13 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>14 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>17 ([(1,6),(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),(5,4)],7)=>15 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>19 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>15 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>21 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>13 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>12 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>14 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>13 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>15 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>12 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>13 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>12 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>13 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>15 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>13 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>13 ([(0,6),(1,6),(2,5),(3,4)],7)=>11 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>12 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>13 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>12 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>13 ([(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)=>13 ([(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)=>13 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>13 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>14 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>13 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>14 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(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)=>13 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>12 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>13 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>14 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>14 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>13 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>13 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>14 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>13 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>15 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>14 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>13 ([(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)=>13 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>14 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>16 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>13 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,4),(1,5),(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),(3,4),(3,5),(3,6)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>17 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>16 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>17 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>18 ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>19 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>15 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>14 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>17 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>15 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>14 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>16 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>23 ([(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)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>17 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>17 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>13 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>15 ([(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)=>12 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>13 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>12 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>13 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>13 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>14 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>15 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>13 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>13 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>13 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>15 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>13 ([(3,6),(4,5)],7)=>9 ([(3,6),(4,5),(4,6)],7)=>10 ([(2,6),(3,4),(3,6),(4,5)],7)=>11 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>12 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>13 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>15 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>17 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>19 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>14 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>16 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>15 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>13 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>15 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>17 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>13 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>14 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>15 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>12 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>14 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>13 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>15 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>12 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>13 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>14 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>13 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>15 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>14 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>13 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>14 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>15 ([(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>12 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>14 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>15 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>16 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>13 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>16 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>23 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>12 ([(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)=>14 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>17 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>16 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>17 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>15 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>18 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>17 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>18 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>15 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>14 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>20 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>15 ([(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)=>14 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>16 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>17 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>14 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>17 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>14 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>15 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>14 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>16 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>17 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>20 ([(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)=>14 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>14 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>15 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>15 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>15 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>18 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>17 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>19 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>16 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>16 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>17 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>15 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>18 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>21 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>15 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>17 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>14 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>17 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>16 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>19 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>15 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>18 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>16 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>19 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>17 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>19 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>13 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>14 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>15 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>14 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>17 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>14 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>14 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>15 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>14 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>16 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>17 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>15 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>18 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>17 ([(2,6),(3,4),(3,6),(6,5)],7)=>11 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>12 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>13 ([(2,6),(3,4),(3,5)],7)=>10 ([(2,6),(3,4),(3,5),(3,6)],7)=>11 ([(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)=>13 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>15 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>17 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>15 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>13 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>15 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>14 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>14 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>15 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>15 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>15 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>16 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>13 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>17 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>15 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>17 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>17 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>17 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>15 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>17 ([(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)=>13 ([(1,6),(2,3),(2,4),(2,5)],7)=>11 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>12 ([(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)=>15 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>15 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>16 ([(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)=>12 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>13 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>13 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>14 ([(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)=>15 ([(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)=>16 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>16 ([(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)=>14 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>15 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>16 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>12 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>13 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>12 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>13 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>13 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>14 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>14 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>15 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>14 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>15 ([(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>14 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>15 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>15 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>16 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>15 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>15 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>13 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>14 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>14 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>15 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>14
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Description
The number of non-empty boolean intervals in a poset.
References
[1] Samuel, M. Number of Boolean algebra subintervals in weak order of $S_n$ MathOverflow:253773
Code
def statistic(P):
    l = [P.subposet(P.interval(a,b)) for a,b in P.relations()]
    count = 0
    for Q in l:
        try:
            Q = LatticePoset(Q)
        except ValueError:
            continue
        else:
            try:
                k = ZZ(log_b(Q.cardinality(), 2))
            except TypeError:
                continue
            else:
                if Q.is_isomorphic(posets.BooleanLattice(k)):
                    count += 1
    return count
Created
Nov 03, 2016 at 06:40 by Martin Rubey
Updated
Nov 03, 2016 at 09:57 by Martin Rubey