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Identifier
Values
=>
Cc0014;cc-rep
([],1)=>1 ([],2)=>1 ([(0,1)],2)=>2 ([],3)=>1 ([(1,2)],3)=>2 ([(0,1),(0,2)],3)=>2 ([(0,2),(2,1)],3)=>3 ([(0,2),(1,2)],3)=>2 ([],4)=>1 ([(2,3)],4)=>2 ([(1,2),(1,3)],4)=>2 ([(0,1),(0,2),(0,3)],4)=>2 ([(0,2),(0,3),(3,1)],4)=>3 ([(0,1),(0,2),(1,3),(2,3)],4)=>3 ([(1,2),(2,3)],4)=>3 ([(0,3),(3,1),(3,2)],4)=>3 ([(1,3),(2,3)],4)=>2 ([(0,3),(1,3),(3,2)],4)=>3 ([(0,3),(1,3),(2,3)],4)=>2 ([(0,3),(1,2)],4)=>2 ([(0,3),(1,2),(1,3)],4)=>2 ([(0,2),(0,3),(1,2),(1,3)],4)=>2 ([(0,3),(2,1),(3,2)],4)=>4 ([(0,3),(1,2),(2,3)],4)=>3 ([],5)=>1 ([(3,4)],5)=>2 ([(2,3),(2,4)],5)=>2 ([(1,2),(1,3),(1,4)],5)=>2 ([(0,1),(0,2),(0,3),(0,4)],5)=>2 ([(0,2),(0,3),(0,4),(4,1)],5)=>3 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>3 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(4,2)],5)=>3 ([(0,3),(0,4),(4,1),(4,2)],5)=>3 ([(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>5 ([(0,3),(0,4),(3,2),(4,1)],5)=>3 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>4 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>3 ([(2,3),(3,4)],5)=>3 ([(1,4),(4,2),(4,3)],5)=>3 ([(0,4),(4,1),(4,2),(4,3)],5)=>3 ([(2,4),(3,4)],5)=>2 ([(1,4),(2,4),(4,3)],5)=>3 ([(0,4),(1,4),(4,2),(4,3)],5)=>3 ([(1,4),(2,4),(3,4)],5)=>2 ([(0,4),(1,4),(2,4),(4,3)],5)=>3 ([(0,4),(1,4),(2,4),(3,4)],5)=>2 ([(0,4),(1,4),(2,3)],5)=>2 ([(0,4),(1,3),(2,3),(2,4)],5)=>2 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,4),(2,3),(4,2)],5)=>4 ([(0,4),(1,3),(2,3),(3,4)],5)=>3 ([(0,4),(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,4),(2,3),(3,4)],5)=>3 ([(1,4),(2,3)],5)=>2 ([(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,2),(1,4),(2,3)],5)=>3 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>4 ([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>3 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>3 ([(0,4),(1,2),(1,4),(4,3)],5)=>3 ([(0,4),(1,2),(1,3)],5)=>2 ([(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,2),(0,4),(3,1),(4,3)],5)=>4 ([(0,4),(1,2),(1,3),(3,4)],5)=>3 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>4 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(1,4)],5)=>2 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>2 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>3 ([(0,3),(1,2),(1,4),(3,4)],5)=>3 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>3 ([(1,4),(3,2),(4,3)],5)=>4 ([(0,3),(3,4),(4,1),(4,2)],5)=>4 ([(1,4),(2,3),(3,4)],5)=>3 ([(0,4),(1,2),(2,4),(4,3)],5)=>4 ([(0,3),(1,4),(4,2)],5)=>3 ([(0,4),(3,2),(4,1),(4,3)],5)=>4 ([(0,4),(1,2),(2,3),(2,4)],5)=>3 ([(0,4),(2,3),(3,1),(4,2)],5)=>5 ([(0,3),(1,2),(2,4),(3,4)],5)=>3 ([(0,4),(1,2),(2,3),(3,4)],5)=>4 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>5 ([],6)=>1 ([(4,5)],6)=>2 ([(3,4),(3,5)],6)=>2 ([(2,3),(2,4),(2,5)],6)=>2 ([(1,2),(1,3),(1,4),(1,5)],6)=>2 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>2 ([(0,2),(0,3),(0,4),(0,5),(5,1)],6)=>3 ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6)=>3 ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)=>3 ([(1,3),(1,4),(1,5),(5,2)],6)=>3 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>3 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>3 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)=>5 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>4 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>3 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>4 ([(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)=>3 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>4 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(2,3),(2,4),(4,5)],6)=>3 ([(1,4),(1,5),(5,2),(5,3)],6)=>3 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>3 ([(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>5 ([(1,4),(1,5),(4,3),(5,2)],6)=>3 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>4 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>5 ([(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)=>5 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>3 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>4 ([(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)=>4 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(3,4),(4,5)],6)=>3 ([(2,3),(3,4),(3,5)],6)=>3 ([(1,5),(5,2),(5,3),(5,4)],6)=>3 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>3 ([(2,3),(3,5),(5,4)],6)=>4 ([(1,4),(4,5),(5,2),(5,3)],6)=>4 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>4 ([(3,5),(4,5)],6)=>2 ([(2,5),(3,5),(5,4)],6)=>3 ([(1,5),(2,5),(5,3),(5,4)],6)=>3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>3 ([(2,5),(3,5),(4,5)],6)=>2 ([(1,5),(2,5),(3,5),(5,4)],6)=>3 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>3 ([(1,5),(2,5),(3,5),(4,5)],6)=>2 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>3 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>2 ([(0,5),(1,5),(2,5),(3,4)],6)=>2 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>4 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>3 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>3 ([(1,5),(2,5),(3,4)],6)=>2 ([(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>3 ([(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)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>3 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>4 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>3 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3 ([(1,5),(2,5),(3,4),(5,3)],6)=>4 ([(1,5),(2,4),(3,4),(4,5)],6)=>3 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>4 ([(0,5),(1,5),(2,3),(5,4)],6)=>3 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>4 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>3 ([(1,5),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>3 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>3 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>4 ([(0,5),(1,5),(2,3),(2,4)],6)=>2 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>4 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>3 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>4 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>4 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>3 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>4 ([(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)=>3 ([(1,5),(2,5),(3,4),(4,5)],6)=>3 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>4 ([(0,5),(1,5),(2,3),(3,4)],6)=>3 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>5 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>3 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>4 ([(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)=>3 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>4 ([(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)=>5 ([(0,5),(1,5),(2,4),(3,4)],6)=>2 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>4 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>5 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>3 ([(2,5),(3,4)],6)=>2 ([(2,5),(3,4),(3,5)],6)=>2 ([(1,5),(2,3),(2,5),(3,4)],6)=>3 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>3 ([(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)=>4 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>6 ([(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)=>2 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>3 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>4 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)=>2 ([(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)=>5 ([(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)=>3 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(1,5),(2,3),(2,5),(5,4)],6)=>3 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>3 ([(1,5),(2,3),(2,4)],6)=>2 ([(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>3 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>4 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>3 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>3 ([(0,5),(1,2),(1,3),(1,4)],6)=>2 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>2 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>4 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>3 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>4 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>3 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>4 ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)=>3 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>3 ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(1,3),(1,5),(4,2),(5,4)],6)=>4 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>4 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>4 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>5 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>5 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>4 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>5 ([(1,5),(2,3),(2,4),(4,5)],6)=>3 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>4 ([(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)=>6 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>3 ([(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)=>3 ([(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)=>3 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>4 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>4 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>4 ([(0,4),(1,3),(1,5),(5,2)],6)=>3 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>4 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>3 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>3 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>5 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>3 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>4 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>7 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>5 ([(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>3 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>3 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>3 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>4 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>4 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>3 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>3 ([(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)=>5 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>3 ([(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)=>3 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>4 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>3 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,3)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(1,4),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>3 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>2 ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>2 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>2 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>3 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>3 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>3 ([(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)=>5 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>4 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>3 ([(1,4),(2,3),(2,5),(4,5)],6)=>3 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>4 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(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)=>5 ([(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)=>5 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>3 ([(0,5),(1,3),(1,4),(5,2)],6)=>3 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>5 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>4 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>3 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>3 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>4 ([(2,5),(3,4),(4,5)],6)=>3 ([(1,5),(2,3),(3,5),(5,4)],6)=>4 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>4 ([(1,3),(2,4),(4,5)],6)=>3 ([(1,5),(4,3),(5,2),(5,4)],6)=>4 ([(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>4 ([(0,4),(1,5),(5,2),(5,3)],6)=>3 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>4 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>3 ([(1,5),(3,4),(4,2),(5,3)],6)=>5 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>5 ([(1,4),(2,3),(3,5),(4,5)],6)=>3 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>4 ([(0,5),(1,4),(4,2),(5,3)],6)=>3 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>5 ([(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)=>3 ([(1,5),(2,3),(3,4),(4,5)],6)=>4 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>5 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>7 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>5 ([(0,5),(1,4),(2,3)],6)=>2 ([(0,5),(1,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>4 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>4 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>3 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>5 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>4 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>4 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>3 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4)],6)=>2 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>3 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>3 ([(0,5),(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>3 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>3 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>3 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>4 ([(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)=>5 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>6 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>3 ([(0,5),(1,3),(4,2),(5,4)],6)=>4 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>4 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>4 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>5 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>5 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>4 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>6 ([(0,5),(1,3),(2,4),(4,5)],6)=>3 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>3 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>5 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>4 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>5 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>7 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>4 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>6 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>3 ([],7)=>1 ([(5,6)],7)=>2 ([(4,5),(4,6)],7)=>2 ([(3,4),(3,5),(3,6)],7)=>2 ([(2,3),(2,4),(2,5),(2,6)],7)=>2 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>2 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>3 ([(1,3),(1,4),(1,5),(1,6),(6,2)],7)=>3 ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7)=>3 ([(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 ([(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>3 ([(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>5 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>4 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>5 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>5 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(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)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>5 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>5 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>5 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(2,4),(2,5),(2,6),(6,3)],7)=>3 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>3 ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7)=>3 ([(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>3 ([(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>5 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>5 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>4 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>3 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>5 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>5 ([(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)=>5 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>5 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>4 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>5 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>5 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>7 ([(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)=>5 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>5 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>3 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>4 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>5 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>6 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>5 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>5 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>5 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>3 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>4 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>3 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(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)=>4 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(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)=>3 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>5 ([(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)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>5 ([(3,4),(3,5),(5,6)],7)=>3 ([(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7)=>3 ([(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>5 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>5 ([(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>5 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>5 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>7 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>5 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>6 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>4 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>5 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>5 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>3 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>4 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>5 ([(0,5),(0,6),(5,4),(6,1),(6,2),(6,3)],7)=>3 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,3),(5,6)],7)=>4 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>4 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>4 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(6,1)],7)=>5 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>4 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>5 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>5 ([(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)=>5 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>3 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>4 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>4 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>4 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>4 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>3 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>4 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>6 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>6 ([(4,5),(5,6)],7)=>3 ([(3,4),(4,5),(4,6)],7)=>3 ([(2,6),(6,3),(6,4),(6,5)],7)=>3 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>3 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>3 ([(3,4),(4,6),(6,5)],7)=>4 ([(2,5),(5,6),(6,3),(6,4)],7)=>4 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>4 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 ([(4,6),(5,6)],7)=>2 ([(3,6),(4,6),(6,5)],7)=>3 ([(2,6),(3,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>3 ([(3,6),(4,6),(5,6)],7)=>2 ([(2,6),(3,6),(4,6),(6,5)],7)=>3 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>3 ([(2,6),(3,6),(4,6),(5,6)],7)=>2 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>3 ([(1,6),(2,6),(3,6),(4,5)],7)=>2 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>4 ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(4,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>5 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(4,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)=>5 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>7 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>7 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>4 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>5 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>5 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>3 ([(2,6),(3,6),(4,5)],7)=>2 ([(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>6 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>3 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>4 ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>4 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,4),(6,3)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(5,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>4 ([(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)=>4 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>5 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>3 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4)],7)=>2 ([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6)],7)=>2 ([(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)=>3 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>5 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>2 ([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(2,6),(3,6),(4,5),(6,4)],7)=>4 ([(2,6),(3,5),(4,5),(5,6)],7)=>3 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>4 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>4 ([(1,6),(2,6),(3,4),(6,5)],7)=>3 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>4 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>3 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>4 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>3 ([(2,6),(3,6),(4,5),(4,6)],7)=>2 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>3 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>4 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>6 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>4 ([(1,6),(2,6),(3,4),(3,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>4 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>3 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>4 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>3 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>3 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 ([(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>3 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>2 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>4 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>3 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>2 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>4 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>5 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>4 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>5 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>3 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>4 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>4 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>3 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>5 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>3 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>5 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>5 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>3 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>4 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>4 ([(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)=>4 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>5 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>5 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>4 ([(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)=>5 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>7 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>5 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>6 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>5 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>5 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>8 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>4 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>5 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>7 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>7 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>7 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>5 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>4 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>5 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>5 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>4 ([(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)=>3 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>4 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>4 ([(1,6),(2,6),(3,4),(4,5)],7)=>3 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>5 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>3 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>4 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>3 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>5 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>3 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>4 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>4 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>5 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>3 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>5 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>3 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>4 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>4 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>5 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>5 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>5 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>5 ([(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)=>6 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>7 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>10 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>4 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>5 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>4 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>6 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>4 ([(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)=>7 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>4 ([(1,6),(2,6),(3,5),(4,5)],7)=>2 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>3 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>4 ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>3 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>3 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>4 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>5 ([(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)=>7 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>3 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>4 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>3 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,4)],7)=>2 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>4 ([(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)=>4 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>3 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>3 ([(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)=>4 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>5 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>4 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>4 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>3 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>4 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>6 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>4 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>3 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>5 ([(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)=>4 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>2 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(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)=>2 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>4 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>4 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>5 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>5 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>5 ([(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)=>4 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>5 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>4 ([(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)=>3 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>5 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>4 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>3 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>3 ([(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)=>4 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>6 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>5 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>3 ([(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)=>7 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>4 ([(3,6),(4,5)],7)=>2 ([(3,6),(4,5),(4,6)],7)=>2 ([(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>3 ([(0,6),(1,5),(1,6),(5,2),(5,3),(5,4)],7)=>3 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>4 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>4 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>4 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>6 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>3 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>4 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>4 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>4 ([(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)=>6 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>3 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>4 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>3 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>4 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>4 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>4 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>6 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>4 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>6 ([(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)=>4 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>5 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(6,2),(6,3),(6,4)],7)=>3 ([(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>5 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(5,2),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>2 ([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>2 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>4 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>5 ([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3)],7)=>3 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>3 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>4 ([(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)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>5 ([(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)=>4 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>3 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>4 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>5 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>4 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>4 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>4 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>3 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>4 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>3 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>3 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>3 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>4 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>3 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>3 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>3 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>4 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>5 ([(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)=>4 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>3 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>3 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(4,5)],7)=>3 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>3 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>4 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>5 ([(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)=>3 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>4 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>5 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>5 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>3 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>5 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>7 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>5 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>4 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>4 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>3 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>4 ([(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)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>5 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>5 ([(2,6),(3,4),(3,6),(6,5)],7)=>3 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>3 ([(0,6),(1,2),(1,6),(6,3),(6,4),(6,5)],7)=>3 ([(2,6),(3,4),(3,5)],7)=>2 ([(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>3 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>3 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>4 ([(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)=>3 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>4 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>3 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>6 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>4 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>4 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>5 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>5 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>3 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>4 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>4 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>3 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>5 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>4 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>3 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>3 ([(1,6),(2,3),(2,4),(2,5)],7)=>2 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>3 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>3 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6)],7)=>3 ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,6),(6,5)],7)=>3 ([(0,6),(1,2),(1,3),(1,4),(1,5)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>2 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,5),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(4,6),(5,1)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>3 ([(0,5),(1,2),(1,3),(1,4),(1,6),(5,6)],7)=>3 ([(0,4),(1,2),(1,3),(1,5),(1,6),(4,5),(4,6)],7)=>3 ([(0,3),(1,2),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>3 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>4 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>4 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>3 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>4 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>4 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>6 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>3 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>5 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>4 ([(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)=>3 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,6),(6,5)],7)=>5 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>4 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>5 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>4 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>4 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>3 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>4 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>4 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>4 ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7)=>4 ([(0,3),(0,5),(0,6),(4,1),(5,2),(6,4)],7)=>4 ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7)=>5 ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7)=>4 ([(0,4),(0,5),(4,3),(5,6),(6,1),(6,2)],7)=>4 ([(0,5),(0,6),(4,3),(5,4),(6,1),(6,2)],7)=>4 ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7)=>4 ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7)=>5 ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7)=>5 ([(0,5),(0,6),(4,3),(5,1),(6,2),(6,4)],7)=>4 ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7)=>4 ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7)=>5 ([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7)=>5 ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7)=>4 ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7)=>4 ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7)=>4 ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7)=>5 ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7)=>5 ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7)=>5 ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7)=>5 ([(0,3),(0,6),(4,2),(5,1),(6,4),(6,5)],7)=>4 ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7)=>5 ([(0,5),(0,6),(3,2),(4,1),(5,3),(6,4)],7)=>4 ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7)=>6 ([(0,6),(4,3),(5,1),(5,2),(6,4),(6,5)],7)=>4 ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7)=>5 ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7)=>5 ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7)=>6 ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7)=>6 ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7)=>6 ([(0,6),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>4 ([(0,6),(4,3),(5,2),(6,1),(6,4),(6,5)],7)=>4 ([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7)=>5 ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7)=>6 ([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7)=>5 ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)=>7 ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)=>6 ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)=>5 ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7)=>4 ([(0,6),(1,3),(2,4),(3,5),(4,6),(5,6)],7)=>4 ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7)=>5 ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7)=>3 ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7)=>5 ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7)=>4 ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)=>6 ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)=>5 ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)=>6 ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7)=>4 ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)=>3 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>2 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)=>3 ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)=>2 ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>2 ([(4,6),(4,7),(5,6),(5,7)],8)=>2 ([],8)=>1 ([(0,3),(1,2),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>5 ([(0,5),(1,4),(2,6),(2,7),(3,6),(3,7),(4,2),(5,3)],8)=>4 ([(0,3),(0,7),(1,2),(1,6),(2,7),(3,6),(6,4),(6,5),(7,4),(7,5)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(6,3),(7,2)],8)=>4 ([(0,7),(1,6),(4,2),(5,3),(6,4),(7,5)],8)=>4 ([(0,5),(0,7),(1,4),(1,6),(2,7),(3,6),(4,2),(5,3)],8)=>4 ([(0,5),(0,7),(1,4),(1,6),(4,7),(5,6),(6,2),(7,3)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(7,5)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(6,3),(6,5),(7,2),(7,4)],8)=>4 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,7),(3,5),(3,6),(6,4),(7,5)],8)=>5 ([(0,5),(1,4),(2,7),(3,6),(4,2),(4,6),(5,3),(5,7)],8)=>4 ([(0,5),(1,4),(4,6),(4,7),(5,6),(5,7),(6,3),(7,2)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)=>5 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)=>4 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,7),(1,6),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,5),(1,5),(2,4),(3,4),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>2 ([(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>2 ([(0,7),(1,7),(2,6),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>2 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(5,7)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>3 ([(0,3),(0,5),(1,2),(1,4),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)=>4 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,7),(3,6),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(6,4),(6,5),(7,4),(7,5)],8)=>3 ([(0,3),(0,5),(1,2),(1,4),(4,6),(4,7),(5,6),(5,7)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>2 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6)],8)=>2 ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4)],8)=>2 ([(4,7),(5,6)],8)=>2 ([(0,7),(1,6),(2,5),(3,4)],8)=>2 ([(0,7),(1,6),(2,4),(2,6),(3,5),(3,7)],8)=>2 ([(0,5),(0,7),(1,4),(1,6),(6,2),(7,3)],8)=>3 ([(0,3),(0,5),(0,7),(1,2),(1,4),(1,6),(4,7),(5,6)],8)=>3 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(6,3),(7,2)],8)=>3 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,3),(7,2)],8)=>3 ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(4,3),(5,3),(6,2),(7,2)],8)=>3 ([(0,3),(0,6),(0,7),(1,2),(1,6),(1,7),(2,4),(3,5),(6,4),(7,5)],8)=>4 ([(0,4),(0,5),(0,7),(1,2),(1,3),(1,6),(2,7),(3,7),(4,6),(5,6)],8)=>3 ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,7),(5,7)],8)=>3 ([(0,7),(1,6),(2,4),(3,5),(4,6),(5,7)],8)=>3 ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6)],8)=>2 ([(2,7),(3,7),(4,6),(5,6)],8)=>2 ([(2,5),(3,4),(4,6),(5,7)],8)=>3 ([(0,6),(1,6),(2,7),(3,7),(6,5),(7,4)],8)=>3 ([(0,5),(0,7),(1,5),(1,7),(2,4),(2,6),(3,4),(3,6),(4,7),(5,6)],8)=>3 ([(0,5),(1,4),(2,4),(2,7),(3,5),(3,6),(4,6),(5,7)],8)=>3 ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,7),(4,6),(5,7)],8)=>3 ([(2,5),(2,7),(3,4),(3,6),(4,7),(5,6)],8)=>3 ([(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>3 ([(0,7),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,7)],8)=>3 ([(0,7),(1,6),(2,6),(2,7),(3,6),(3,7),(6,4),(7,5)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,5),(2,7),(3,4),(3,6),(6,5),(7,4)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,5),(7,4)],8)=>3 ([(0,3),(1,2),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>3 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>2 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>2 ([(0,7),(1,6),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)=>2 ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>2 ([(0,5),(1,4),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>2 ([(0,5),(0,7),(1,4),(1,6),(2,4),(2,6),(2,7),(3,5),(3,6),(3,7)],8)=>2 ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7)],8)=>2 ([(0,5),(1,4),(4,2),(4,6),(4,7),(5,3),(5,6),(5,7)],8)=>3 ([(0,3),(0,7),(1,2),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,6)],8)=>3 ([(0,6),(0,7),(1,6),(1,7),(6,3),(6,4),(6,5),(7,2),(7,4),(7,5)],8)=>4 ([(0,6),(0,7),(1,6),(1,7),(6,4),(6,5),(7,2),(7,3)],8)=>3 ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,6),(2,7),(3,4),(3,5)],8)=>3 ([(0,5),(0,7),(1,4),(1,6),(4,2),(4,7),(5,3),(5,6)],8)=>3 ([(0,7),(1,6),(6,2),(6,3),(7,4),(7,5)],8)=>3 ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7)],8)=>2 ([(2,6),(2,7),(3,4),(3,5)],8)=>2 ([(0,5),(0,6),(0,7),(1,4),(1,6),(1,7),(4,2),(5,3)],8)=>3 ([(0,3),(0,5),(0,6),(0,7),(1,2),(1,4),(1,6),(1,7),(2,5),(3,4)],8)=>3 ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,4),(1,5),(1,6),(1,7)],8)=>2 ([(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,6),(1,7)],8)=>2 ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4)],8)=>2 ([(0,5),(1,5),(2,7),(3,8),(4,6),(5,8),(7,6),(8,7)],9)=>5 ([(0,7),(1,6),(2,6),(3,5),(4,5),(5,8),(6,8),(8,7)],9)=>4 ([(0,7),(1,5),(2,5),(3,6),(4,6),(5,8),(6,7),(7,8)],9)=>4 ([(0,6),(1,6),(2,8),(3,9),(4,10),(5,7),(6,10),(8,9),(9,7),(10,8)],11)=>6 ([(0,9),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,10),(8,9),(10,8)],11)=>5 ([(0,8),(1,9),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,10),(10,9)],11)=>5 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,10),(7,8),(8,9),(9,10)],11)=>5 ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,6),(6,10),(7,9),(8,9),(9,10)],11)=>4 ([(0,9),(1,8),(2,6),(3,6),(4,7),(5,7),(6,8),(7,9),(8,10),(9,10)],11)=>4 ([(0,7),(1,7),(2,9),(3,10),(4,11),(5,12),(6,8),(7,12),(9,11),(10,9),(11,8),(12,10)],13)=>7 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)=>6 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,10),(10,12),(11,9),(12,11)],13)=>6 ([(0,8),(1,8),(2,7),(3,7),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(11,9),(12,10)],13)=>6 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(11,12),(12,10)],13)=>5 ([(0,7),(1,7),(2,8),(3,8),(4,11),(5,10),(6,9),(7,10),(8,11),(10,12),(11,12),(12,9)],13)=>5 ([(0,8),(1,8),(2,7),(3,7),(4,10),(5,11),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)=>6 ([(0,10),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,12),(8,11),(9,11),(10,12),(11,10)],13)=>5 ([(0,10),(1,7),(2,7),(3,8),(4,8),(5,9),(6,9),(7,12),(8,11),(9,10),(10,12),(12,11)],13)=>5 ([(0,7),(1,7),(2,8),(3,8),(4,9),(5,10),(6,11),(7,10),(8,11),(9,12),(10,12),(11,9)],13)=>5 ([(0,10),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,11),(9,10),(10,12),(11,12)],13)=>4
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Description
The dimension of the reduced incidence algebra of a poset.
The reduced incidence algebra of a poset is the subalgebra of the incidence algebra consisting of the elements which assign the same value to any two intervals that are isomorphic to each other as posets.
Thus, this statistic returns the number of non-isomorphic intervals of the poset.
References
[1] wikipedia:Incidence_algebra#Reduced_incidence_algebras
Code
def statistic(P):
    return P.incidence_algebra(QQ).reduced_subalgebra().dimension()
Created
Jan 05, 2019 at 17:28 by Martin Rubey
Updated
Jun 22, 2019 at 10:57 by Martin Rubey