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Identifier
Values
=>
Cc0014;cc-rep
([],2)=>1 ([(0,1)],2)=>0 ([],3)=>3 ([(1,2)],3)=>0 ([(0,1),(0,2)],3)=>1 ([(0,2),(2,1)],3)=>0 ([(0,2),(1,2)],3)=>1 ([],4)=>6 ([(2,3)],4)=>1 ([(1,2),(1,3)],4)=>1 ([(0,1),(0,2),(0,3)],4)=>3 ([(0,2),(0,3),(3,1)],4)=>0 ([(0,1),(0,2),(1,3),(2,3)],4)=>1 ([(1,2),(2,3)],4)=>1 ([(0,3),(3,1),(3,2)],4)=>1 ([(1,3),(2,3)],4)=>1 ([(0,3),(1,3),(3,2)],4)=>1 ([(0,3),(1,3),(2,3)],4)=>3 ([(0,3),(1,2)],4)=>2 ([(0,3),(1,2),(1,3)],4)=>0 ([(0,2),(0,3),(1,2),(1,3)],4)=>2 ([(0,3),(2,1),(3,2)],4)=>0 ([(0,3),(1,2),(2,3)],4)=>0 ([],5)=>10 ([(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)=>6 ([(0,2),(0,3),(0,4),(4,1)],5)=>1 ([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>1 ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>3 ([(1,3),(1,4),(4,2)],5)=>0 ([(0,3),(0,4),(4,1),(4,2)],5)=>1 ([(1,2),(1,3),(2,4),(3,4)],5)=>3 ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>1 ([(0,3),(0,4),(3,2),(4,1)],5)=>2 ([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>0 ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(2,3),(3,4)],5)=>3 ([(1,4),(4,2),(4,3)],5)=>1 ([(0,4),(4,1),(4,2),(4,3)],5)=>3 ([(2,4),(3,4)],5)=>2 ([(1,4),(2,4),(4,3)],5)=>1 ([(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)=>6 ([(0,4),(1,4),(2,3)],5)=>1 ([(0,4),(1,3),(2,3),(2,4)],5)=>2 ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1 ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>4 ([(0,4),(1,4),(2,3),(4,2)],5)=>1 ([(0,4),(1,3),(2,3),(3,4)],5)=>1 ([(0,4),(1,4),(2,3),(2,4)],5)=>1 ([(0,4),(1,4),(2,3),(3,4)],5)=>1 ([(1,4),(2,3)],5)=>2 ([(1,4),(2,3),(2,4)],5)=>0 ([(0,4),(1,2),(1,4),(2,3)],5)=>0 ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>0 ([(1,3),(1,4),(2,3),(2,4)],5)=>2 ([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>1 ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>2 ([(0,4),(1,2),(1,4),(4,3)],5)=>0 ([(0,4),(1,2),(1,3)],5)=>1 ([(0,4),(1,2),(1,3),(1,4)],5)=>1 ([(0,2),(0,4),(3,1),(4,3)],5)=>1 ([(0,4),(1,2),(1,3),(3,4)],5)=>0 ([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>0 ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1 ([(0,3),(0,4),(1,2),(1,4)],5)=>2 ([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1 ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>4 ([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>0 ([(0,3),(1,2),(1,4),(3,4)],5)=>0 ([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>1 ([(1,4),(3,2),(4,3)],5)=>0 ([(0,3),(3,4),(4,1),(4,2)],5)=>1 ([(1,4),(2,3),(3,4)],5)=>0 ([(0,4),(1,2),(2,4),(4,3)],5)=>0 ([(0,3),(1,4),(4,2)],5)=>0 ([(0,4),(3,2),(4,1),(4,3)],5)=>0 ([(0,4),(1,2),(2,3),(2,4)],5)=>0 ([(0,4),(2,3),(3,1),(4,2)],5)=>0 ([(0,3),(1,2),(2,4),(3,4)],5)=>2 ([(0,4),(1,2),(2,3),(3,4)],5)=>1 ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>1 ([],6)=>15 ([(4,5)],6)=>6 ([(3,4),(3,5)],6)=>4 ([(2,3),(2,4),(2,5)],6)=>4 ([(1,2),(1,3),(1,4),(1,5)],6)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5)],6)=>10 ([(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)=>6 ([(1,3),(1,4),(1,5),(5,2)],6)=>1 ([(0,3),(0,4),(0,5),(5,1),(5,2)],6)=>2 ([(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>1 ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>6 ([(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)=>1 ([(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)=>1 ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6)=>1 ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)=>1 ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6)=>1 ([(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)=>0 ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6)=>2 ([(2,3),(2,4),(4,5)],6)=>1 ([(1,4),(1,5),(5,2),(5,3)],6)=>1 ([(0,4),(0,5),(5,1),(5,2),(5,3)],6)=>3 ([(2,3),(2,4),(3,5),(4,5)],6)=>6 ([(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1 ([(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)=>0 ([(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)=>1 ([(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)=>0 ([(0,4),(0,5),(4,3),(5,1),(5,2)],6)=>1 ([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6)=>1 ([(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)=>1 ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(3,4),(4,5)],6)=>6 ([(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)=>6 ([(2,3),(3,5),(5,4)],6)=>1 ([(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)=>4 ([(2,5),(3,5),(5,4)],6)=>2 ([(1,5),(2,5),(5,3),(5,4)],6)=>3 ([(0,5),(1,5),(5,2),(5,3),(5,4)],6)=>4 ([(2,5),(3,5),(4,5)],6)=>4 ([(1,5),(2,5),(3,5),(5,4)],6)=>3 ([(0,5),(1,5),(2,5),(5,3),(5,4)],6)=>4 ([(1,5),(2,5),(3,5),(4,5)],6)=>6 ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)=>6 ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>10 ([(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)=>1 ([(1,5),(2,4),(3,4),(3,5)],6)=>2 ([(0,5),(1,4),(2,4),(2,5),(5,3)],6)=>0 ([(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)=>1 ([(0,5),(1,4),(1,5),(2,4),(2,5),(4,3)],6)=>1 ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>4 ([(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)=>4 ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1 ([(1,5),(2,5),(3,4),(5,3)],6)=>2 ([(1,5),(2,4),(3,4),(4,5)],6)=>1 ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)=>1 ([(0,5),(1,5),(2,3),(5,4)],6)=>1 ([(0,5),(1,5),(4,2),(5,3),(5,4)],6)=>1 ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)=>1 ([(1,5),(2,5),(3,4),(3,5)],6)=>1 ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)=>2 ([(0,5),(1,5),(2,3),(2,5),(3,4)],6)=>1 ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)=>1 ([(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)=>3 ([(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)=>0 ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6)=>3 ([(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)=>1 ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)=>1 ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>2 ([(1,5),(2,5),(3,4),(4,5)],6)=>1 ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)=>1 ([(0,5),(1,5),(2,3),(3,4)],6)=>2 ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)=>1 ([(0,4),(1,4),(2,3),(3,5),(4,5)],6)=>1 ([(0,5),(1,4),(3,5),(4,2),(4,3)],6)=>0 ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6)=>1 ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)=>1 ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>3 ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1 ([(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)=>7 ([(0,5),(1,5),(2,4),(3,4),(3,5)],6)=>1 ([(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)=>3 ([(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)=>7 ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)=>1 ([(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)=>3 ([(2,5),(3,4),(3,5)],6)=>1 ([(1,5),(2,3),(2,5),(3,4)],6)=>0 ([(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)=>0 ([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6)=>1 ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)=>0 ([(0,5),(1,4),(1,5),(4,2),(5,3)],6)=>0 ([(0,4),(1,2),(1,4),(2,5),(4,3),(4,5)],6)=>1 ([(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(1,4),(1,5),(2,4),(2,5),(5,3)],6)=>1 ([(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)=>3 ([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6)=>1 ([(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)=>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)=>1 ([(0,5),(1,3),(1,4),(2,3),(2,4),(4,5)],6)=>1 ([(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)=>1 ([(0,4),(0,5),(1,3),(1,5),(2,3),(2,5),(3,4)],6)=>1 ([(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)=>1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,5)],6)=>1 ([(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)=>0 ([(0,5),(1,2),(1,5),(5,3),(5,4)],6)=>1 ([(1,5),(2,3),(2,4)],6)=>1 ([(1,5),(2,3),(2,4),(2,5)],6)=>1 ([(0,5),(1,3),(1,4),(1,5),(4,2)],6)=>0 ([(0,4),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>0 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>1 ([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 ([(0,5),(1,2),(1,3),(1,5),(5,4)],6)=>1 ([(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)=>3 ([(0,5),(1,2),(1,3),(1,4),(4,5)],6)=>1 ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6)=>0 ([(0,5),(1,2),(1,3),(1,4),(3,5),(4,5)],6)=>1 ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)=>1 ([(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)=>1 ([(0,3),(1,2),(1,4),(1,5),(3,4),(3,5)],6)=>1 ([(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)=>1 ([(0,4),(0,5),(3,2),(4,3),(5,1)],6)=>0 ([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6)=>0 ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)=>0 ([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6)=>0 ([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6)=>0 ([(1,5),(2,3),(2,4),(4,5)],6)=>1 ([(0,5),(1,2),(1,3),(3,5),(5,4)],6)=>0 ([(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)=>0 ([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>1 ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>1 ([(0,5),(1,3),(1,4),(3,5),(4,2)],6)=>0 ([(0,4),(1,2),(1,3),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6)=>0 ([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6)=>0 ([(0,5),(1,3),(1,4),(3,5),(4,2),(4,5)],6)=>0 ([(0,4),(1,3),(1,5),(5,2)],6)=>0 ([(0,3),(0,5),(4,2),(5,1),(5,4)],6)=>0 ([(0,5),(1,3),(1,4),(4,2),(4,5)],6)=>0 ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)=>0 ([(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)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>1 ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6)=>1 ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6)=>3 ([(1,4),(1,5),(2,3),(2,5)],6)=>2 ([(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1 ([(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6)=>0 ([(0,4),(0,5),(1,2),(1,4),(1,5),(4,3),(5,3)],6)=>1 ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>4 ([(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)=>4 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3)],6)=>1 ([(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(5,3)],6)=>0 ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6)=>1 ([(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)=>0 ([(0,4),(0,5),(1,2),(1,4),(2,5),(5,3)],6)=>0 ([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6)=>0 ([(0,3),(0,5),(1,4),(1,5),(4,2)],6)=>0 ([(0,2),(0,4),(1,3),(1,4),(3,5),(4,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5)],6)=>0 ([(0,2),(0,5),(1,4),(1,5),(2,3),(2,4),(5,3)],6)=>0 ([(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)=>0 ([(0,4),(0,5),(1,2),(1,3)],6)=>7 ([(0,4),(0,5),(1,2),(1,3),(1,5)],6)=>1 ([(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)=>0 ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,5),(3,5)],6)=>1 ([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5)],6)=>3 ([(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)=>7 ([(0,2),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3)],6)=>1 ([(0,3),(0,4),(1,2),(1,4),(1,5),(3,5)],6)=>0 ([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4)],6)=>1 ([(0,4),(0,5),(1,2),(1,3),(3,5)],6)=>0 ([(0,4),(0,5),(1,2),(1,3),(3,4),(3,5)],6)=>1 ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6)=>1 ([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6)=>0 ([(0,4),(0,5),(1,2),(1,3),(2,5),(3,5)],6)=>1 ([(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)=>0 ([(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)=>3 ([(1,4),(2,3),(2,5),(4,5)],6)=>0 ([(0,4),(1,3),(1,5),(4,5),(5,2)],6)=>1 ([(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>1 ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6)=>0 ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6)=>1 ([(0,3),(1,4),(1,5),(3,5),(4,2)],6)=>0 ([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6)=>0 ([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6)=>0 ([(0,5),(1,3),(1,4),(5,2)],6)=>2 ([(0,2),(0,5),(3,4),(4,1),(5,3)],6)=>0 ([(0,5),(4,2),(4,3),(5,1),(5,4)],6)=>1 ([(0,4),(1,3),(1,5),(4,2),(4,5)],6)=>0 ([(0,4),(0,5),(1,2),(2,3),(2,4),(2,5)],6)=>1 ([(0,4),(0,5),(1,2),(2,3),(2,5),(3,4)],6)=>0 ([(2,5),(3,4),(4,5)],6)=>1 ([(1,5),(2,3),(3,5),(5,4)],6)=>0 ([(0,5),(1,2),(2,5),(5,3),(5,4)],6)=>1 ([(1,3),(2,4),(4,5)],6)=>1 ([(1,5),(4,3),(5,2),(5,4)],6)=>0 ([(1,5),(2,3),(3,4),(3,5)],6)=>0 ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)=>0 ([(0,4),(1,5),(5,2),(5,3)],6)=>1 ([(0,5),(4,3),(5,1),(5,2),(5,4)],6)=>1 ([(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)=>1 ([(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)=>3 ([(0,5),(3,4),(4,2),(5,1),(5,3)],6)=>1 ([(0,3),(1,4),(3,5),(4,2),(4,5)],6)=>0 ([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6)=>3 ([(1,5),(2,3),(3,4),(4,5)],6)=>1 ([(1,4),(2,5),(3,5),(4,2),(4,3)],6)=>1 ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6)=>1 ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)=>1 ([(0,5),(1,4),(2,3)],6)=>6 ([(0,5),(1,3),(2,4),(2,5)],6)=>0 ([(0,5),(1,4),(2,3),(2,4),(2,5)],6)=>2 ([(0,5),(1,4),(1,5),(3,2),(4,3)],6)=>0 ([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>0 ([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>0 ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)=>0 ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>0 ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)=>0 ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)=>0 ([(0,4),(1,4),(1,5),(2,3),(2,5)],6)=>0 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>1 ([(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)=>6 ([(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)=>6 ([(0,4),(1,3),(1,5),(2,3),(2,4),(4,5)],6)=>0 ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>0 ([(0,5),(1,4),(1,5),(2,3),(2,4),(3,5)],6)=>0 ([(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)=>0 ([(0,4),(1,4),(1,5),(2,3),(3,5)],6)=>0 ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)=>0 ([(0,4),(1,3),(1,5),(2,5),(4,2)],6)=>0 ([(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)=>0 ([(0,5),(1,4),(2,3),(2,5),(4,5)],6)=>0 ([(0,5),(1,3),(4,2),(5,4)],6)=>0 ([(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)=>0 ([(0,4),(3,2),(4,5),(5,1),(5,3)],6)=>0 ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)=>0 ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)=>0 ([(0,5),(1,3),(2,4),(4,5)],6)=>0 ([(0,5),(1,4),(2,3),(3,4),(3,5)],6)=>2 ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)=>0 ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)=>0 ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)=>0 ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6)=>1 ([(0,3),(1,4),(2,5),(3,5),(4,2)],6)=>0 ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6)=>0 ([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>2 ([],7)=>21 ([(5,6)],7)=>10 ([(4,5),(4,6)],7)=>7 ([(3,4),(3,5),(3,6)],7)=>6 ([(2,3),(2,4),(2,5),(2,6)],7)=>7 ([(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>10 ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7)=>15 ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(5,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,6)],7)=>4 ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6)],7)=>6 ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>10 ([(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)=>4 ([(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)=>10 ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)=>6 ([(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)=>1 ([(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)=>1 ([(0,1),(0,2),(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(0,2),(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(5,6)],7)=>1 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5)],7)=>7 ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>1 ([(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)=>3 ([(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)=>7 ([(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)=>1 ([(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)=>3 ([(0,2),(0,3),(0,4),(0,5),(4,6),(5,1),(5,6)],7)=>1 ([(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)=>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)=>4 ([(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)=>10 ([(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)=>4 ([(1,3),(1,4),(1,5),(3,6),(4,6),(5,2)],7)=>1 ([(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)=>1 ([(1,2),(1,3),(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>4 ([(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)=>4 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1)],7)=>1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,5),(4,6),(6,1)],7)=>1 ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(4,6),(6,1)],7)=>0 ([(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)=>1 ([(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)=>3 ([(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)=>1 ([(0,3),(0,4),(0,5),(3,6),(4,6),(5,1),(6,2)],7)=>1 ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,5),(6,1),(6,5)],7)=>1 ([(1,2),(1,3),(1,4),(3,6),(4,6),(6,5)],7)=>1 ([(0,3),(0,4),(0,5),(4,6),(5,6),(6,1),(6,2)],7)=>3 ([(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)=>0 ([(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)=>1 ([(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)=>1 ([(0,1),(0,2),(0,3),(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>1 ([(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)=>1 ([(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)=>0 ([(0,4),(0,5),(0,6),(5,3),(6,1),(6,2)],7)=>1 ([(0,3),(0,4),(0,5),(4,6),(5,1),(5,2),(5,6)],7)=>1 ([(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)=>1 ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,4),(0,5),(0,6),(4,3),(5,2),(6,1)],7)=>6 ([(0,3),(0,4),(0,5),(3,6),(4,2),(5,1),(5,6)],7)=>0 ([(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)=>0 ([(0,1),(0,2),(0,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>1 ([(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)=>6 ([(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)=>6 ([(0,2),(0,3),(0,4),(2,6),(3,5),(3,6),(4,1),(4,5),(4,6)],7)=>0 ([(0,1),(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>0 ([(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)=>0 ([(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)=>6 ([(3,4),(3,5),(4,6),(5,6)],7)=>10 ([(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)=>4 ([(2,5),(2,6),(5,4),(6,3)],7)=>3 ([(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>1 ([(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)=>1 ([(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)=>3 ([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7)=>1 ([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(1,3),(1,5),(3,6),(5,2),(5,6),(6,4)],7)=>0 ([(0,4),(0,5),(4,6),(5,1),(5,6),(6,2),(6,3)],7)=>1 ([(1,5),(1,6),(5,4),(6,2),(6,3)],7)=>1 ([(1,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)=>1 ([(0,4),(0,5),(4,6),(5,1),(5,2),(5,6),(6,3)],7)=>1 ([(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)=>1 ([(1,2),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(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)=>4 ([(0,3),(0,4),(3,5),(3,6),(4,2),(4,5),(4,6),(6,1)],7)=>0 ([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(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)=>7 ([(0,4),(0,5),(4,3),(4,6),(5,1),(5,2),(5,6)],7)=>1 ([(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)=>3 ([(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)=>7 ([(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>3 ([(1,3),(1,5),(2,6),(3,6),(5,2),(6,4)],7)=>0 ([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7)=>1 ([(4,5),(5,6)],7)=>10 ([(3,4),(4,5),(4,6)],7)=>4 ([(2,6),(6,3),(6,4),(6,5)],7)=>4 ([(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>6 ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7)=>10 ([(3,4),(4,6),(6,5)],7)=>3 ([(2,5),(5,6),(6,3),(6,4)],7)=>4 ([(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)=>6 ([(4,6),(5,6)],7)=>7 ([(3,6),(4,6),(6,5)],7)=>4 ([(2,6),(3,6),(6,4),(6,5)],7)=>5 ([(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(6,2),(6,3),(6,4),(6,5)],7)=>7 ([(3,6),(4,6),(5,6)],7)=>6 ([(2,6),(3,6),(4,6),(6,5)],7)=>4 ([(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(6,3),(6,4),(6,5)],7)=>6 ([(2,6),(3,6),(4,6),(5,6)],7)=>7 ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(6,4),(6,5)],7)=>7 ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>10 ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)=>10 ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)=>15 ([(0,6),(1,6),(2,6),(3,6),(4,5)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)=>6 ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)=>6 ([(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)=>4 ([(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)=>4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(6,4),(6,5)],7)=>4 ([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(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)=>4 ([(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)=>1 ([(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)=>6 ([(0,6),(1,6),(2,6),(3,5),(4,5)],7)=>4 ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7)=>7 ([(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)=>4 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>11 ([(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)=>4 ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)=>4 ([(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)=>4 ([(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)=>3 ([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>4 ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)=>4 ([(2,6),(3,6),(4,5)],7)=>2 ([(2,6),(3,5),(4,5),(4,6)],7)=>3 ([(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(6,3),(6,4)],7)=>1 ([(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)=>3 ([(0,6),(1,4),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>0 ([(0,6),(1,5),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1 ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(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)=>4 ([(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7)=>5 ([(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)=>5 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)=>4 ([(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)=>4 ([(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)=>4 ([(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)=>4 ([(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)=>4 ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>1 ([(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)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(5,3)],7)=>1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)=>1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3),(6,5)],7)=>1 ([(0,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)=>1 ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)=>1 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)=>1 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(6,4)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(0,5),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,6)],7)=>1 ([(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)=>6 ([(0,6),(1,5),(2,5),(2,6),(3,4),(6,3)],7)=>0 ([(0,6),(1,4),(2,5),(3,4),(3,5),(5,6)],7)=>0 ([(0,5),(1,4),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>0 ([(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)=>0 ([(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)=>0 ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>1 ([(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)=>0 ([(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)=>0 ([(0,6),(1,5),(2,5),(2,6),(3,4),(4,6)],7)=>0 ([(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)=>4 ([(2,6),(3,5),(4,5),(5,6)],7)=>2 ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)=>1 ([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7)=>2 ([(1,6),(2,6),(3,4),(6,5)],7)=>1 ([(1,6),(2,6),(4,5),(6,3),(6,4)],7)=>1 ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)=>1 ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)=>1 ([(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)=>1 ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>1 ([(0,6),(1,6),(2,4),(2,6),(4,5),(6,3),(6,5)],7)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)=>1 ([(0,6),(1,6),(2,3),(2,6),(3,4),(4,5),(6,5)],7)=>1 ([(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)=>3 ([(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)=>1 ([(0,5),(1,5),(2,4),(2,6),(5,6),(6,3)],7)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)=>1 ([(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)=>4 ([(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)=>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)=>4 ([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>4 ([(0,6),(1,2),(1,3),(1,5),(4,6),(5,4)],7)=>1 ([(0,3),(0,4),(0,5),(1,6),(2,6),(5,1),(5,2)],7)=>6 ([(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)=>0 ([(0,3),(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2)],7)=>1 ([(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)=>1 ([(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)=>4 ([(1,6),(2,6),(3,4),(3,5),(5,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(4,6),(6,5)],7)=>1 ([(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)=>1 ([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7)=>1 ([(0,5),(1,5),(2,3),(2,6),(3,4),(5,6)],7)=>1 ([(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)=>3 ([(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)=>1 ([(0,6),(1,3),(1,5),(4,6),(5,2),(5,4)],7)=>0 ([(0,4),(0,5),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(4,5),(4,6)],7)=>1 ([(0,6),(1,4),(1,5),(3,6),(4,2),(5,3)],7)=>0 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(6,5)],7)=>0 ([(0,6),(1,4),(1,5),(3,6),(4,3),(5,2),(5,6)],7)=>0 ([(0,4),(0,5),(2,6),(3,6),(4,1),(4,6),(5,2),(5,3)],7)=>1 ([(0,3),(0,4),(1,6),(2,6),(3,5),(3,6),(4,1),(4,2),(4,5)],7)=>1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(3,6),(4,2),(4,5)],7)=>0 ([(0,4),(0,5),(2,6),(3,6),(4,3),(5,1),(5,2)],7)=>0 ([(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)=>1 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)=>3 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(4,6)],7)=>1 ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)=>1 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5)],7)=>0 ([(0,6),(1,3),(1,4),(2,6),(3,5),(4,2),(4,5),(5,6)],7)=>0 ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)=>0 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(6,5)],7)=>1 ([(0,6),(1,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)=>0 ([(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,6),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>6 ([(0,6),(1,6),(2,3),(2,4),(4,5),(5,6)],7)=>1 ([(0,6),(1,2),(1,5),(3,6),(4,6),(5,3),(5,4)],7)=>1 ([(0,4),(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3)],7)=>6 ([(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)=>1 ([(2,6),(3,6),(4,5),(5,6)],7)=>2 ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)=>1 ([(0,6),(1,6),(2,3),(3,6),(6,4),(6,5)],7)=>2 ([(1,6),(2,6),(3,4),(4,5)],7)=>3 ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)=>1 ([(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1 ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7)=>1 ([(0,6),(1,6),(2,3),(3,5),(6,4)],7)=>1 ([(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)=>3 ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)=>1 ([(0,3),(1,6),(2,6),(3,5),(3,6),(5,4)],7)=>1 ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,5),(3,6),(4,6),(5,2),(5,3),(5,4)],7)=>1 ([(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)=>6 ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)=>0 ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)=>0 ([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7)=>1 ([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7)=>1 ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)=>3 ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)=>3 ([(0,3),(1,6),(2,6),(3,5),(5,4)],7)=>1 ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)=>1 ([(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)=>0 ([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)=>1 ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)=>1 ([(1,6),(2,6),(3,5),(4,5)],7)=>7 ([(1,6),(2,6),(3,5),(4,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,5),(3,6),(5,4)],7)=>1 ([(0,6),(1,6),(2,4),(3,4),(3,6),(4,5),(6,5)],7)=>1 ([(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)=>3 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>1 ([(0,6),(1,5),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>3 ([(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)=>7 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)=>6 ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)=>7 ([(0,6),(1,6),(2,5),(3,5),(3,6),(6,4)],7)=>1 ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>7 ([(0,6),(1,6),(2,5),(3,4)],7)=>3 ([(0,6),(1,6),(2,3),(4,5),(6,4)],7)=>1 ([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7)=>3 ([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7)=>1 ([(0,6),(1,5),(2,5),(3,4),(5,6)],7)=>1 ([(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)=>1 ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,6)],7)=>1 ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(4,5)],7)=>1 ([(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)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6)],7)=>3 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5)],7)=>1 ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>1 ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(4,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(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)=>1 ([(0,5),(1,5),(2,6),(3,4),(3,6)],7)=>1 ([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6)],7)=>3 ([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>0 ([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,5),(1,4),(1,5),(2,4),(2,6),(3,6),(5,3)],7)=>0 ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,5),(5,6)],7)=>0 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)=>1 ([(0,4),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)=>1 ([(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)=>1 ([(0,5),(1,5),(2,4),(2,6),(3,6),(5,3),(5,4)],7)=>1 ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6)],7)=>1 ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)=>0 ([(0,5),(1,2),(1,5),(2,6),(3,6),(4,6),(5,3),(5,4)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)=>3 ([(0,5),(1,4),(1,6),(2,4),(2,6),(3,5),(3,6)],7)=>1 ([(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)=>4 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(3,5),(4,6)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6)],7)=>7 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6)],7)=>6 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>3 ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>4 ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)=>9 ([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(4,6)],7)=>1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,3)],7)=>1 ([(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)=>3 ([(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)=>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)=>3 ([(0,6),(1,4),(1,5),(2,4),(2,5),(3,6),(5,3)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(6,2),(6,3)],7)=>4 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7)=>3 ([(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)=>1 ([(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)=>3 ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)=>0 ([(0,6),(1,2),(1,6),(3,5),(4,5),(6,3),(6,4)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)=>1 ([(0,6),(1,6),(2,4),(3,5),(5,6)],7)=>1 ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)=>1 ([(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)=>1 ([(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)=>1 ([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7)=>1 ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)=>1 ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(4,5),(4,6)],7)=>1 ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)=>0 ([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7)=>1 ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)=>1 ([(3,6),(4,5)],7)=>5 ([(3,6),(4,5),(4,6)],7)=>3 ([(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(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)=>4 ([(0,6),(1,4),(1,6),(4,2),(4,3),(4,5),(6,5)],7)=>1 ([(0,6),(1,3),(1,6),(3,2),(3,4),(3,5),(6,4),(6,5)],7)=>1 ([(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)=>0 ([(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)=>1 ([(0,5),(1,4),(1,5),(4,3),(4,6),(5,6),(6,2)],7)=>0 ([(0,6),(1,5),(1,6),(5,2),(5,3),(6,4)],7)=>1 ([(0,6),(1,4),(1,6),(4,3),(4,5),(6,2),(6,5)],7)=>0 ([(0,6),(1,3),(1,6),(3,4),(3,5),(6,2),(6,4),(6,5)],7)=>1 ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)=>1 ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)=>0 ([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7)=>1 ([(1,6),(2,3),(2,6),(3,5),(6,4)],7)=>0 ([(1,5),(2,3),(2,5),(3,6),(5,4),(5,6)],7)=>3 ([(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)=>1 ([(1,6),(2,3),(2,6),(3,5),(5,4)],7)=>0 ([(1,5),(2,3),(2,5),(3,4),(4,6),(5,6)],7)=>0 ([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7)=>0 ([(0,6),(1,5),(1,6),(4,2),(5,4),(6,3)],7)=>0 ([(0,6),(1,3),(1,6),(3,5),(5,4),(6,2),(6,5)],7)=>0 ([(0,6),(1,4),(1,6),(3,5),(4,3),(6,2),(6,5)],7)=>0 ([(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)=>0 ([(0,6),(1,2),(1,6),(2,3),(3,4),(3,5),(6,4),(6,5)],7)=>1 ([(3,5),(3,6),(4,5),(4,6)],7)=>5 ([(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)=>4 ([(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)=>4 ([(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)=>1 ([(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7)=>5 ([(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)=>3 ([(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)=>5 ([(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)=>1 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(6,3)],7)=>0 ([(0,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(5,3),(6,3)],7)=>0 ([(0,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(5,4),(6,2),(6,4)],7)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(4,3),(5,4),(6,2),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,3),(6,2),(6,4)],7)=>1 ([(1,6),(2,4),(2,5),(3,4),(3,5),(5,6)],7)=>1 ([(1,4),(1,5),(2,4),(2,5),(3,6),(4,6),(5,3)],7)=>1 ([(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)=>1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(4,6),(5,3),(5,6)],7)=>1 ([(0,6),(1,4),(1,5),(2,4),(2,5),(5,6),(6,3)],7)=>1 ([(0,4),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,3)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(6,3)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(4,3),(6,2),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(3,4),(5,2),(5,3),(6,4)],7)=>1 ([(0,5),(1,4),(1,6),(2,4),(2,6),(6,3),(6,5)],7)=>1 ([(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)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(6,4)],7)=>1 ([(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5)],7)=>1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(6,3)],7)=>1 ([(0,5),(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3)],7)=>1 ([(0,3),(0,6),(1,3),(1,6),(2,5),(2,6),(3,5),(5,4),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(5,4)],7)=>1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(4,5),(6,5)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,6),(5,3),(5,4)],7)=>1 ([(0,3),(0,6),(1,3),(1,6),(2,4),(2,6),(3,4),(3,5),(6,5)],7)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(5,4),(6,4)],7)=>4 ([(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)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(5,4),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,6),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,6),(3,4)],7)=>1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(6,5)],7)=>1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,6),(3,5),(4,5)],7)=>1 ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,6),(4,6),(5,6)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(3,6),(5,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,5),(3,4),(4,6)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4)],7)=>3 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(3,2),(3,4),(5,3),(6,4)],7)=>1 ([(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)=>1 ([(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)=>3 ([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>1 ([(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)=>2 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6)],7)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(4,6)],7)=>1 ([(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)=>1 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(4,6)],7)=>1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(2,5),(3,6),(4,5)],7)=>1 ([(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)=>1 ([(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)=>0 ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,6),(4,1),(4,2)],7)=>1 ([(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)=>3 ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(3,6),(4,5),(4,6)],7)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(6,4)],7)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,6),(5,4)],7)=>1 ([(0,4),(0,6),(1,4),(1,6),(2,3),(3,6),(4,5),(6,5)],7)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(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)=>1 ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(4,6)],7)=>1 ([(0,5),(0,6),(1,4),(2,6),(3,5),(3,6),(4,2),(4,3)],7)=>0 ([(0,4),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>1 ([(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)=>2 ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7)=>4 ([(2,6),(3,4),(3,6),(6,5)],7)=>1 ([(1,6),(2,3),(2,6),(6,4),(6,5)],7)=>1 ([(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)=>0 ([(0,6),(1,4),(1,5),(1,6),(5,2),(5,3)],7)=>1 ([(0,6),(1,3),(1,4),(1,6),(4,2),(4,5),(6,5)],7)=>0 ([(0,6),(1,2),(1,3),(1,6),(3,4),(3,5),(6,4),(6,5)],7)=>1 ([(1,5),(2,3),(2,4),(2,5),(4,6),(5,6)],7)=>0 ([(0,5),(1,3),(1,4),(1,5),(4,6),(5,6),(6,2)],7)=>0 ([(0,6),(1,3),(1,5),(1,6),(5,2),(6,4)],7)=>0 ([(0,6),(1,3),(1,4),(1,6),(4,5),(6,2),(6,5)],7)=>0 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6)],7)=>1 ([(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)=>1 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,6),(6,4)],7)=>1 ([(0,6),(1,3),(1,4),(1,6),(3,5),(4,5),(6,2)],7)=>1 ([(0,5),(1,2),(1,3),(1,5),(2,6),(3,6),(5,4),(5,6)],7)=>3 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(6,2)],7)=>1 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,5),(5,4),(6,4)],7)=>1 ([(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)=>0 ([(0,6),(1,2),(1,3),(1,6),(2,5),(3,4),(3,5),(6,4)],7)=>0 ([(0,4),(1,2),(1,3),(1,4),(2,6),(3,5),(3,6),(4,5),(4,6)],7)=>0 ([(0,5),(1,3),(1,4),(1,5),(3,6),(4,2),(4,6),(5,6)],7)=>0 ([(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)=>1 ([(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)=>0 ([(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)=>1 ([(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)=>1 ([(0,6),(1,2),(1,3),(1,4),(1,6),(4,5),(6,5)],7)=>1 ([(0,6),(1,2),(1,3),(1,4),(1,6),(3,5),(4,5)],7)=>1 ([(0,5),(1,2),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6)],7)=>1 ([(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)=>6 ([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6)],7)=>6 ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7)=>6 ([(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)=>1 ([(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)=>1 ([(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)=>6 ([(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)=>6 ([(1,3),(1,4),(1,6),(5,2),(6,5)],7)=>3 ([(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)=>1 ([(0,6),(1,2),(1,3),(1,4),(4,6),(6,5)],7)=>1 ([(1,2),(1,4),(1,5),(3,6),(4,6),(5,3)],7)=>0 ([(0,3),(0,4),(0,5),(1,6),(4,6),(5,1),(6,2)],7)=>0 ([(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)=>1 ([(1,3),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2)],7)=>3 ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)=>1 ([(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)=>1 ([(0,6),(1,2),(1,3),(1,4),(2,6),(3,6),(4,5),(6,5)],7)=>1 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,1),(5,2)],7)=>1 ([(0,6),(1,3),(1,4),(1,5),(3,6),(4,6),(5,2),(5,6)],7)=>1 ([(0,6),(1,3),(1,4),(1,5),(4,6),(5,2)],7)=>0 ([(0,6),(1,2),(1,3),(1,4),(3,6),(4,5),(6,5)],7)=>0 ([(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)=>0 ([(0,3),(0,4),(0,5),(2,6),(3,6),(4,1),(5,2)],7)=>0
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Description
The number of 1/2-balanced pairs in a poset.
A pair of elements $x,y$ of a poset is $\alpha$-balanced if the proportion of linear extensions where $x$ comes before $y$ is between $\alpha$ and $1-\alpha$.
Kislitsyn [1] conjectured that every poset which is not a chain has a $1/3$-balanced pair. Brightwell, Felsner and Trotter [2] show that at least a $(1-\sqrt 5)/10$-balanced pair exists in posets which are not chains.
Olson and Sagan [3] exhibit various posets that have a $1/2$-balanced pair.
References
[1] Kislicyn, S. S. Finite partially ordered sets and their corresponding permutation sets MathSciNet:0244113
[2] Brightwell, G. R., Felsner, S., Trotter, W. T. Balancing pairs and the cross product conjecture MathSciNet:1368815
[3] Olson, E. J., Sagan, B. E. On the $1/3-2/3$ Conjecture arXiv:1706.04985
Code
def statistic(P, alpha=1/2):
    l_ext = P.linear_extensions().list()
    lower = len(l_ext)*alpha
    upper = len(l_ext)*(1-alpha)
    pairs = 0
    for x,y in Subsets(P,2):
        l = [ext for ext in l_ext
             if ext.index(x) < ext.index(y)]
        if lower <= len(l) <= upper:
            pairs += 1
    return pairs
Created
Jun 16, 2017 at 06:25 by Martin Rubey
Updated
Jul 17, 2017 at 07:30 by Martin Rubey