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Identifier
Values
=>
Cc0014;cc-rep
([],1)=>1 ([],2)=>2 ([(0,1)],2)=>1 ([],3)=>3 ([(1,2)],3)=>1 ([(0,1),(0,2)],3)=>2 ([(0,2),(2,1)],3)=>1 ([(0,2),(1,2)],3)=>2 ([],4)=>4 ([(2,3)],4)=>2 ([(1,2),(1,3)],4)=>2 ([(0,1),(0,2),(0,3)],4)=>3 ([(0,2),(0,3),(3,1)],4)=>1 ([(0,1),(0,2),(1,3),(2,3)],4)=>2 ([(1,2),(2,3)],4)=>1 ([(0,3),(3,1),(3,2)],4)=>2 ([(1,3),(2,3)],4)=>2 ([(0,3),(1,3),(3,2)],4)=>2 ([(0,3),(1,3),(2,3)],4)=>3 ([(0,3),(1,2)],4)=>2 ([(0,3),(1,2),(1,3)],4)=>1 ([(0,2),(0,3),(1,2),(1,3)],4)=>2 ([(0,3),(2,1),(3,2)],4)=>1 ([(0,3),(1,2),(2,3)],4)=>1 ([],5)=>5 ([(3,4)],5)=>3 ([(2,3),(2,4)],5)=>2 ([(1,2),(1,3),(1,4)],5)=>3 ([(0,1),(0,2),(0,3),(0,4)],5)=>4 ([(0,2),(0,3),(0,4),(4,1)],5)=>2 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>2 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(4,2)],5)=>1 ([(0,3),(0,4),(4,1),(4,2)],5)=>2 ([(1,2),(1,3),(2,4),(3,4)],5)=>2 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>2 ([(0,3),(0,4),(3,2),(4,1)],5)=>2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>1 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(2,3),(3,4)],5)=>2 ([(1,4),(4,2),(4,3)],5)=>2 ([(0,4),(4,1),(4,2),(4,3)],5)=>3 ([(2,4),(3,4)],5)=>2 ([(1,4),(2,4),(4,3)],5)=>2 ([(0,4),(1,4),(4,2),(4,3)],5)=>2 ([(1,4),(2,4),(3,4)],5)=>3 ([(0,4),(1,4),(2,4),(4,3)],5)=>3 ([(0,4),(1,4),(2,4),(3,4)],5)=>4 ([(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)=>3 ([(0,4),(1,4),(2,3),(4,2)],5)=>2 ([(0,4),(1,3),(2,3),(3,4)],5)=>2 ([(0,4),(1,4),(2,3),(2,4)],5)=>2 ([(0,4),(1,4),(2,3),(3,4)],5)=>2 ([(1,4),(2,3)],5)=>2 ([(1,4),(2,3),(2,4)],5)=>1 ([(0,4),(1,2),(1,4),(2,3)],5)=>1 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>2 ([(0,4),(1,2),(1,4),(4,3)],5)=>1 ([(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)=>1 ([(0,4),(1,2),(1,3),(3,4)],5)=>1 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>1 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>2 ([(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)=>3 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>1 ([(0,3),(1,2),(1,4),(3,4)],5)=>1 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>2 ([(1,4),(3,2),(4,3)],5)=>1 ([(0,3),(3,4),(4,1),(4,2)],5)=>2 ([(1,4),(2,3),(3,4)],5)=>1 ([(0,4),(1,2),(2,4),(4,3)],5)=>1 ([(0,3),(1,4),(4,2)],5)=>1 ([(0,4),(3,2),(4,1),(4,3)],5)=>1 ([(0,4),(1,2),(2,3),(2,4)],5)=>1 ([(0,4),(2,3),(3,1),(4,2)],5)=>1 ([(0,3),(1,2),(2,4),(3,4)],5)=>2 ([(0,4),(1,2),(2,3),(3,4)],5)=>1 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>2 ([],6)=>6 ([(4,5)],6)=>4 ([(3,4),(3,5)],6)=>3 ([(2,3),(2,4),(2,5)],6)=>3 ([(1,2),(1,3),(1,4),(1,5)],6)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>5 ([(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)=>2 ([(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)=>4 ([(1,3),(1,4),(1,5),(5,2)],6)=>2 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>2 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 ([(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)=>3 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(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)=>2 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>2 ([(0,3),(0,4),(0,5),(4,2),(5,1)],6)=>2 ([(0,2),(0,3),(0,4),(3,5),(4,1),(4,5)],6)=>1 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(2,3),(2,4),(4,5)],6)=>2 ([(1,4),(1,5),(5,2),(5,3)],6)=>2 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>3 ([(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>2 ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6)=>2 ([(1,4),(1,5),(4,3),(5,2)],6)=>2 ([(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>1 ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6)=>2 ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>2 ([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6)=>1 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>2 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>2 ([(0,3),(0,4),(3,2),(3,5),(4,1),(4,5)],6)=>2 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6)=>2 ([(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)=>2 ([(1,5),(5,2),(5,3),(5,4)],6)=>3 ([(0,5),(5,1),(5,2),(5,3),(5,4)],6)=>4 ([(2,3),(3,5),(5,4)],6)=>2 ([(1,4),(4,5),(5,2),(5,3)],6)=>2 ([(0,4),(4,5),(5,1),(5,2),(5,3)],6)=>3 ([(3,5),(4,5)],6)=>3 ([(2,5),(3,5),(5,4)],6)=>2 ([(1,5),(2,5),(5,3),(5,4)],6)=>2 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>3 ([(2,5),(3,5),(4,5)],6)=>3 ([(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)=>4 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>4 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5 ([(0,5),(1,5),(2,5),(3,4)],6)=>3 ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)=>3 ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)=>3 ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)=>3 ([(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)=>1 ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(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)=>2 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(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)=>2 ([(1,5),(2,5),(3,4),(5,3)],6)=>2 ([(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>2 ([(0,5),(1,5),(2,3),(5,4)],6)=>2 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>2 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>2 ([(1,5),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>2 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>2 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>2 ([(0,5),(1,5),(2,3),(2,4)],6)=>2 ([(0,5),(1,5),(4,2),(4,3),(5,4)],6)=>2 ([(0,4),(1,4),(2,3),(2,5),(4,5)],6)=>2 ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,2),(1,4),(3,5),(4,3)],6)=>1 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)=>2 ([(0,5),(1,5),(2,3),(2,4),(4,5)],6)=>2 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>1 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>2 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(1,5),(2,5),(3,4),(4,5)],6)=>2 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>2 ([(0,5),(1,5),(2,3),(3,4)],6)=>2 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>2 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>1 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>2 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>2 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>2 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>3 ([(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)=>3 ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>2 ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2 ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>2 ([(2,5),(3,4)],6)=>2 ([(2,5),(3,4),(3,5)],6)=>2 ([(1,5),(2,3),(2,5),(3,4)],6)=>1 ([(0,5),(1,4),(1,5),(4,2),(4,3)],6)=>2 ([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>2 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>1 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>1 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>1 ([(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6)=>2 ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6)=>2 ([(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)=>2 ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6)=>2 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>2 ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(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)=>2 ([(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)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2 ([(1,5),(2,3),(2,5),(5,4)],6)=>1 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>2 ([(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)=>1 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>1 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>2 ([(0,5),(1,2),(1,3),(1,4)],6)=>3 ([(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>3 ([(0,2),(0,3),(0,5),(4,1),(5,4)],6)=>2 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>2 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>1 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>2 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>2 ([(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)=>2 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>2 ([(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)=>1 ([(0,3),(0,4),(4,5),(5,1),(5,2)],6)=>2 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>1 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>1 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>1 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>1 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>1 ([(1,5),(2,3),(2,4),(4,5)],6)=>1 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>1 ([(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>1 ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6)=>1 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>2 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>1 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>1 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>1 ([(0,4),(1,3),(1,5),(5,2)],6)=>1 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>1 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>1 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>1 ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,5)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>2 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>2 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>2 ([(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)=>1 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>2 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>3 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>2 ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6)=>2 ([(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)=>2 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>1 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,3),(1,5),(5,2)],6)=>2 ([(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>1 ([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6)=>1 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>1 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>1 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>1 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>1 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>1 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>1 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5)],6)=>2 ([(0,3),(0,4),(1,2),(1,4),(2,5),(3,5),(4,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,4),(2,3),(3,5)],6)=>1 ([(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)=>1 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>2 ([(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)=>3 ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6)=>4 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>2 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>1 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>1 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>2 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>2 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>1 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>2 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>1 ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(0,3),(0,5),(1,2),(1,4),(2,5),(3,4)],6)=>2 ([(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>1 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>2 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>1 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>2 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>1 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>1 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>1 ([(0,5),(1,3),(1,4),(5,2)],6)=>2 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>1 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>2 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>1 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>2 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>1 ([(2,5),(3,4),(4,5)],6)=>2 ([(1,5),(2,3),(3,5),(5,4)],6)=>1 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>2 ([(1,3),(2,4),(4,5)],6)=>1 ([(1,5),(4,3),(5,2),(5,4)],6)=>1 ([(1,5),(2,3),(3,4),(3,5)],6)=>1 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>1 ([(0,4),(1,5),(5,2),(5,3)],6)=>2 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>2 ([(0,5),(1,4),(4,2),(4,3),(4,5)],6)=>2 ([(1,5),(3,4),(4,2),(5,3)],6)=>1 ([(0,4),(3,5),(4,3),(5,1),(5,2)],6)=>2 ([(1,4),(2,3),(3,5),(4,5)],6)=>2 ([(0,4),(1,3),(3,5),(4,5),(5,2)],6)=>2 ([(0,5),(1,4),(4,2),(5,3)],6)=>2 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>1 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>1 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(1,5),(2,3),(3,4),(4,5)],6)=>1 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>2 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>2 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>1 ([(0,5),(1,4),(2,3)],6)=>2 ([(0,5),(1,3),(2,4),(2,5)],6)=>1 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>1 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>1 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>1 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>1 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>1 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>1 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>1 ([(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)=>3 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>1 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>1 ([(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)=>1 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>1 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>1 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>1 ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6)=>2 ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6)=>2 ([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6)=>1 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>1 ([(0,5),(1,3),(4,2),(5,4)],6)=>1 ([(0,5),(3,2),(4,1),(5,3),(5,4)],6)=>2 ([(0,5),(1,4),(3,2),(4,3),(4,5)],6)=>1 ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)=>1 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>1 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>1 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>1 ([(0,5),(1,3),(2,4),(4,5)],6)=>1 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>2 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>1 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>1 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>1 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>2 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>1 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>1 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([],7)=>7 ([(5,6)],7)=>5 ([(4,5),(4,6)],7)=>4 ([(3,4),(3,5),(3,6)],7)=>3 ([(2,3),(2,4),(2,5),(2,6)],7)=>4 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>5 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>6 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>4 ([(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)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>5 ([(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)=>2 ([(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)=>4 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>4 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1)],7)=>3 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,1),(0,2),(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,6),(6,1)],7)=>2 ([(0,3),(0,4),(0,5),(0,6),(5,2),(6,1)],7)=>2 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>2 ([(0,1),(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(2,4),(2,5),(2,6),(6,3)],7)=>2 ([(1,4),(1,5),(1,6),(6,2),(6,3)],7)=>2 ([(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)=>2 ([(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)=>3 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7)=>3 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>2 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(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)=>3 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>3 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>2 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>1 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6),(6,2)],7)=>2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2)],7)=>2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,2),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,6),(5,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,2),(1,3),(1,4),(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)=>2 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>2 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>2 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>2 ([(1,4),(1,5),(1,6),(5,3),(6,2)],7)=>2 ([(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>1 ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1)],7)=>2 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>2 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,6),(6,2)],7)=>1 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>2 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>2 ([(0,3),(0,4),(0,5),(4,2),(4,6),(5,1),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>1 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(4,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,5),(3,5),(3,6),(4,1),(4,6)],7)=>1 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5)],7)=>2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(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)=>1 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>1 ([(0,3),(0,4),(0,5),(3,6),(4,2),(4,6),(5,1),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,1),(4,5),(5,6)],7)=>1 ([(3,4),(3,5),(5,6)],7)=>3 ([(2,5),(2,6),(6,3),(6,4)],7)=>2 ([(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)=>4 ([(3,4),(3,5),(4,6),(5,6)],7)=>3 ([(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>2 ([(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7)=>2 ([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7)=>3 ([(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 ([(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(6,2)],7)=>2 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7)=>2 ([(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2 ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7)=>2 ([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7)=>2 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>2 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>1 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>2 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>2 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>2 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>2 ([(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)=>3 ([(1,4),(1,5),(4,3),(4,6),(5,2),(5,6)],7)=>2 ([(1,3),(1,4),(3,5),(3,6),(4,2),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>2 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>3 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>1 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,4),(0,5),(4,2),(4,6),(5,1),(5,6),(6,3)],7)=>2 ([(0,5),(0,6),(5,3),(5,4),(6,1),(6,2)],7)=>2 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>2 ([(0,3),(0,4),(3,5),(3,6),(4,1),(4,2),(4,5),(4,6)],7)=>2 ([(0,3),(0,4),(3,2),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>2 ([(0,2),(0,3),(2,4),(2,5),(2,6),(3,1),(3,4),(3,5),(3,6)],7)=>3 ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>1 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>2 ([(4,5),(5,6)],7)=>4 ([(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)=>4 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>5 ([(3,4),(4,6),(6,5)],7)=>3 ([(2,5),(5,6),(6,3),(6,4)],7)=>2 ([(1,5),(5,6),(6,2),(6,3),(6,4)],7)=>3 ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7)=>4 ([(4,6),(5,6)],7)=>4 ([(3,6),(4,6),(6,5)],7)=>3 ([(2,6),(3,6),(6,4),(6,5)],7)=>2 ([(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)=>4 ([(3,6),(4,6),(5,6)],7)=>3 ([(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)=>4 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>4 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>5 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>5 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>4 ([(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)=>4 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>4 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>4 ([(1,6),(2,6),(3,6),(4,5)],7)=>3 ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)=>3 ([(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)=>2 ([(0,6),(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>2 ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>3 ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>3 ([(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)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)=>3 ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>3 ([(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)=>3 ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>2 ([(0,6),(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>3 ([(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)=>1 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>2 ([(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,5),(1,4),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(5,3),(6,4)],7)=>2 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(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)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,4)],7)=>2 ([(0,6),(1,3),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(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)=>3 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>3 ([(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)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2 ([(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)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>2 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>2 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>2 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(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)=>1 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>1 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>1 ([(0,6),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,4),(3,6)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(2,6),(3,6),(4,5),(6,4)],7)=>2 ([(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>2 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>2 ([(1,6),(2,6),(3,4),(6,5)],7)=>2 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>2 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>2 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>2 ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(5,2),(6,3),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(6,3),(6,4),(6,5)],7)=>2 ([(2,6),(3,6),(4,5),(4,6)],7)=>2 ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>2 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,5),(6,3)],7)=>2 ([(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>2 ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,4),(2,4),(4,5),(4,6),(6,3)],7)=>2 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(6,5)],7)=>2 ([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,5)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>2 ([(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)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>2 ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,5)],7)=>3 ([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7)=>3 ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(2,6),(4,5),(4,6)],7)=>2 ([(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)=>3 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>2 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>2 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,2),(5,1)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>2 ([(0,6),(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>1 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>2 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>2 ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 ([(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)=>2 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>2 ([(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(4,5)],7)=>2 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,4),(1,4),(2,3),(2,5),(3,6),(4,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>1 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>2 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>1 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>1 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>2 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>2 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>1 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>1 ([(0,3),(0,4),(1,5),(2,5),(3,2),(3,6),(4,1),(4,6)],7)=>2 ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)=>2 ([(0,4),(0,5),(2,6),(3,6),(4,1),(5,2),(5,3)],7)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>2 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>2 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>1 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>1 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>2 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>3 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7)=>2 ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(6,4)],7)=>2 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>2 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>2 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>3 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,3),(5,2)],7)=>2 ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>2 ([(2,6),(3,6),(4,5),(5,6)],7)=>2 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2 ([(1,6),(2,6),(3,4),(4,5)],7)=>2 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>2 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>2 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>2 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>2 ([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(3,6),(5,4),(5,6)],7)=>2 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>2 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>2 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)=>2 ([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7)=>2 ([(0,5),(1,5),(2,3),(3,4),(3,6),(5,6)],7)=>2 ([(0,4),(1,4),(2,3),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(4,6),(5,2),(5,3),(5,4)],7)=>2 ([(0,5),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>2 ([(0,3),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>2 ([(0,3),(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>2 ([(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>3 ([(0,3),(1,6),(2,6),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>3 ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)=>4 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>1 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>1 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>2 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>2 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>2 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>2 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>2 ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,4),(3,6),(4,5),(5,2),(5,3)],7)=>1 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>2 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>2 ([(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)=>2 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(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)=>2 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 ([(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)=>2 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>2 ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(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)=>3 ([(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)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>2 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>2 ([(1,5),(2,5),(3,6),(4,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7)=>2 ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(6,4)],7)=>2 ([(0,6),(1,5),(2,5),(4,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)=>2 ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,4)],7)=>2 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>2 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>2 ([(0,4),(1,4),(2,6),(3,5),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)=>2 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>2 ([(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)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>2 ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(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)=>2 ([(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)=>2 ([(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)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5)],7)=>2 ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(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)=>1 ([(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)=>1 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>1 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>2 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>2 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 ([(0,5),(1,5),(2,3),(2,6),(4,6),(5,4)],7)=>2 ([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7)=>2 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>2 ([(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)=>2 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>1 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>2 ([(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)=>2 ([(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)=>3 ([(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)=>4 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>2 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,3)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7)=>2 ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>2 ([(0,3),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>2 ([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>1 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>2 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(4,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)=>2 ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>2 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>2 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>2 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>1 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>2 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>2 ([(3,6),(4,5)],7)=>3 ([(3,6),(4,5),(4,6)],7)=>3 ([(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(1,6),(2,3),(2,6),(3,4),(3,5)],7)=>2 ([(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)=>2 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(0,6),(1,2),(1,6),(2,3),(2,4),(2,5),(6,3),(6,4),(6,5)],7)=>3 ([(1,5),(2,3),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>1 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>2 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>1 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>2 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>1 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>2 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>1 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>1 ([(0,6),(1,5),(1,6),(5,2),(6,3),(6,4)],7)=>2 ([(0,6),(1,4),(1,6),(4,5),(6,2),(6,3),(6,5)],7)=>2 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>1 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>1 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>1 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>1 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>1 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>1 ([(0,6),(1,4),(1,6),(4,5),(5,2),(5,3)],7)=>2 ([(0,6),(1,3),(1,6),(3,4),(4,2),(4,5),(6,5)],7)=>1 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(3,5),(3,6),(4,5),(4,6)],7)=>3 ([(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2 ([(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)=>2 ([(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,4),(6,2),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(5,3),(5,4),(6,2),(6,3),(6,4)],7)=>2 ([(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)=>1 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>1 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(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)=>2 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(3,5),(4,5)],7)=>2 ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(6,3)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(5,2),(5,3),(6,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>2 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>2 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>2 ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,6),(6,3)],7)=>2 ([(0,5),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>2 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>2 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,6),(5,6)],7)=>2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(5,3),(6,3),(6,4)],7)=>2 ([(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>2 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>2 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>2 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>2 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(6,4)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>2 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(5,6)],7)=>2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(6,3),(6,4)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,6),(4,6),(5,6)],7)=>2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>2 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(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)=>2 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5)],7)=>2 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 ([(0,5),(0,6),(1,2),(1,4),(3,5),(3,6),(4,3)],7)=>2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2)],7)=>2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2)],7)=>2 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7)=>2 ([(0,5),(0,6),(1,2),(1,4),(2,6),(3,5),(3,6),(4,3)],7)=>1 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>2 ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)=>2 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)=>2 ([(0,5),(0,6),(1,4),(3,5),(3,6),(4,2),(4,3)],7)=>2 ([(0,4),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6)],7)=>2 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,5),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(3,6),(4,5)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>2 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>1 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)=>2 ([(0,5),(0,6),(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>3 ([(2,6),(3,4),(3,6),(6,5)],7)=>2 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>2 ([(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)=>1 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>1 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>2 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>1 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>1 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>1 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>1 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>2 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>2 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>2 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>2 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>2 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>2 ([(0,6),(1,4),(1,5),(1,6),(4,3),(5,2)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(4,5)],7)=>1 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>1 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>1 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>1 ([(0,6),(1,2),(1,3),(1,6),(2,4),(2,5),(3,4),(3,5)],7)=>2 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6)],7)=>2 ([(0,4),(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,2),(6,5)],7)=>1 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(6,4),(6,5)],7)=>2 ([(1,6),(2,3),(2,4),(2,6),(6,5)],7)=>2 ([(0,6),(1,2),(1,3),(1,6),(6,4),(6,5)],7)=>2 ([(1,6),(2,3),(2,4),(2,5)],7)=>3 ([(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>3 ([(0,6),(1,3),(1,4),(1,5),(1,6),(5,2)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>2 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>2 ([(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)=>3 ([(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)=>4 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>4 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>3 ([(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)=>2 ([(0,6),(1,2),(1,3),(1,4),(1,5),(4,6),(5,6)],7)=>2 ([(0,2),(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1)],7)=>2 ([(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)=>3 ([(0,6),(1,2),(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,6)],7)=>4 ([(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)=>2 ([(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)=>4 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>2 ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7)=>2 ([(1,6),(2,3),(2,4),(2,5),(5,6)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>2 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>1 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>1 ([(1,6),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>2 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>2 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>2 ([(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)=>3 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>2 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>2 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>2 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>2 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>1 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,3),(0,4),(0,5),(2,6),(4,6),(5,1),(5,2)],7)=>1 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2),(5,6)],7)=>1
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Description
The distinguishing number of a poset.
This is the minimal number of colours needed to colour the vertices of a poset, such that only the trivial automorphism of the poset preserves the colouring.
See also St000469The distinguishing number of a graph., which is the same concept for graphs.
References
[1] arXiv 1905.09858
Code
def statistic(P):
    G = P.hasse_diagram()
    for c in range(G.num_verts()+1):
        # try to find a colouring
        V = G.vertices()
        # partition the set of edges into c parts
        for colouring in SetPartitions(V, c):
            if G.automorphism_group(map(list, colouring),
                                    return_group=False, order=True) == 1:
                return c
Created
May 27, 2019 at 06:59 by Martin Rubey
Updated
May 27, 2019 at 06:59 by Martin Rubey